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ate prob of sequence xw when two letters picked without replacement from mxwxw. 1/5 Calculate prob of sequence dhks when four letters picked without replacement from {h: 1, k: 1, c: 1, d: 1, s: 1}. 1/120 What is prob of sequence qk when two letters picked without replacement from {q: 3, k: 2}? 3/10 Three letters picked without replacement from ihhihhihkinhiikiki. Give prob of sequence nii. 7/612 Two letters picked without replacement from fcfcffcfzccccccuff. What is prob of sequence cc? 4/17 Three letters picked without replacement from {f: 1, a: 1, q: 4, o: 1, t: 6}. Give prob of sequence qtq. 6/143 Calculate prob of sequence eje when three letters picked without replacement from eyjeejyeyyy. 4/165 What is prob of sequence yy when two letters picked without replacement from {r: 1, y: 7, w: 6, v: 1}? 1/5 Three letters picked without replacement from {u: 4, n: 2, p: 1, r: 2, i: 3}. What is prob of sequence nui? 1/55 Calculate prob of sequence hhhh when four letters picked without replacement from hhhphhhh. 1/2 Three letters picked without replacement from {e: 5, y: 7, m: 4}. Give prob of sequence myy. 1/20 Four letters picked without replacement from {a: 5, q: 5, o: 1}. Give prob of sequence qaqo. 5/396 Four letters picked without replacement from {a: 4, s: 1, q: 2, h: 6, o: 3, j: 3}. What is prob of sequence qhos? 1/2584 What is prob of sequence hh when two letters picked without replacement from {h: 3, s: 2}? 3/10 Four letters picked without replacement from {a: 2, j: 1, m: 1, n: 3}. What is prob of sequence nanj? 1/70 Calculate prob of sequence ju when two letters picked without replacement from {t: 1, j: 1, u: 1, c: 1, k: 1}. 1/20 Two letters picked without replacement from ttttttztttzttttttttt. Give prob of sequence tt. 153/190 Calculate prob of sequence sjj when three letters picked without replacement from {j: 8, s: 2, r: 5}. 8/195 What is prob of sequence dus when three letters picked without replacement from {n: 1, u: 2, t: 2, s: 1, d: 1}? 1/105 Three letters picked without replacement from {u: 8, c: 1, q: 7, f: 1}. What is prob of sequence cuf? 1/510 Calculate prob of sequence fj when two letters picked without replacement from djssjdddjdgslf. 3/182 What is prob of sequence xx when two letters picked without replacement from xxxxxxxxxx? 1 Calculate prob of sequence px when two letters picked without replacement from rwrpxppxrr. 1/15 Two letters picked without replacement from aasawswsssa. What is prob of sequence wa? 4/55 Calculate prob of sequence svx when three letters picked without replacement from msmbmxvbbbmb. 1/1320 Three letters picked without replacement from ozokzkzkkmkooomkokm. What is prob of sequence mmk? 7/969 Three letters picked without replacement from mmnnnnhmkhmk. Give prob of sequence knk. 1/165 What is prob of sequence ls when two letters picked without replacement from lsmlsllls? 5/24 Three letters picked without replacement from {k: 4, p: 2, q: 1, v: 1}. Give prob of sequence vkq. 1/84 Two letters picked without replacement from {h: 11, l: 2}. What is prob of sequence hl? 11/78 Three letters picked without replacement from ggggggggggggggeggge. What is prob of sequence ggg? 40/57 Three letters picked without replacement from {f: 5, q: 3, a: 1}. Give prob of sequence qaf. 5/168 What is prob of sequence kri when three letters picked without replacement from riiriririikiiiiir? 11/816 Three letters picked without replacement from thtltthhtltlt. Give prob of sequence thh. 7/286 Four letters picked without replacement from llwlw. Give prob of sequence wwll. 1/10 What is prob of sequence uh when two letters picked without replacement from {h: 2, w: 2, a: 3, n: 3, u: 3}? 1/26 Two letters picked without replacement from {s: 3, m: 4}. Give prob of sequence mm. 2/7 Two letters picked without replacement from sttsssttstsst. What is prob of sequence tt? 5/26 Four letters picked without replacement from {y: 3, n: 2}. Give prob of sequence nnyy. 1/10 Calculate prob of sequence luug when four letters picked without replacement from llgggluglullggglll. 7/4080 Calculate prob of sequence zzz when three letters picked without replacement from {t: 4, j: 1, z: 8, k: 1, x: 3}. 7/85 Two letters picked without replacement from pppppnpn. What is prob of sequence np? 3/14 Two letters picked without replacement from {v: 2, o: 3, i: 12, b: 2, t: 1}. What is prob of sequence oo? 3/190 Two letters picked without replacement from xxrgrxxrsrjbrbx. Give prob of sequence bs. 1/105 Three letters picked without replacement from {t: 2, z: 1, m: 1, p: 2}. Give prob of sequence ptt. 1/30 Four letters picked without replacement from {f: 2, l: 1, n: 1, d: 2}. What is prob of sequence lndf? 1/90 Two letters picked without replacement from ccccssccccscccc. What is prob of sequence cc? 22/35 Three letters picked without replacement from vvvvvwwvvwvwwvvvvvnv. What is prob of sequence vwv? 91/684 Three letters picked without replacement from guuumgugguu. What is prob of sequence mgu? 4/165 Calculate prob of sequence sccc when four letters picked without replacement from {c: 14, s: 4}. 91/765 Two letters picked without replacement from {b: 1, o: 1, w: 1, e: 2, y: 1, d: 1}. What is prob of sequence od? 1/42 Two letters picked without replacement from {f: 4, n: 2, p: 2}. Give prob of sequence pp. 1/28 Three letters picked without replacement from ddtdddddddtdd. What is prob of sequence ddd? 15/26 Calculate prob of sequence br when two letters picked without replacement from {r: 3, b: 2}. 3/10 Four letters picked without replacement from jsojedcceesodcsoecdj. Give prob of sequence csod. 3/3230 Two letters picked without replacement from {i: 1, g: 2, s: 1}. Give prob of sequence si. 1/12 Three letters picked without replacement from {k: 5}. What is prob of sequence kkk? 1 Three letters picked without replacement from pldl. What is prob of sequence pdl? 1/12 What is prob of sequence brb when three letters picked without replacement from bbrbvbbbb? 1/12 Three letters picked without replacement from kkkikiiikkikkkkk. What is prob of sequence iii? 1/56 What is prob of sequence wsj when three letters picked without replacement from {f: 1, x: 1, s: 1, w: 1, j: 1}? 1/60 Three letters picked without replacement from lhrorro. What is prob of sequence rrh? 1/35 Calculate prob of sequence ws when two letters picked without replacement from whpwwwpwwwwsppwwp. 5/136 What is prob of sequence bbbt when four letters picked without replacement from bbbbbbbbtbbbb? 1/13 Three letters picked without replacement from goyyqqqyyogoqqgoq. Give prob of sequence yyq. 3/170 Calculate prob of sequence ti when two letters picked without replacement from {i: 10, e: 1, x: 3, t: 4}. 20/153 What is prob of sequence mmmc when four letters picked without replacement from eczzezmemzmmmccmmzmm? 21/1615 Three letters picked without replacement from kzzzzkkkkkk. What is prob of sequence kkz? 28/165 Calculate prob of sequence llll when four letters picked without replacement from lfffflfflflfflff. 1/364 What is prob of sequence ddi when three letters picked without replacement from idiiid? 1/15 Three letters picked without replacement from wwiiiiiiiiii. Give prob of sequence wii. 3/22 Four letters picked without replacement from {u: 2, j: 18}. Give prob of sequence jujj. 8/95 Two letters picked without replacement from popohzhpjojojoojzopj. What is prob of sequence zh? 1/95 What is prob of sequence sdss when four letters picked without replacement from {d: 3, s: 13}? 33/280 Calculate prob of sequence aa when two letters picked without replacement from {i: 5, a: 3}. 3/28 Two letters picked without replacement from bymammbrryymyyzryyay. Give prob of sequence ba. 1/95 Four letters picked without replacement from {v: 2, s: 2, h: 2}. Give prob of sequence hvhv. 1/90 What is prob of sequence cocc when four letters picked without replacement from coooocsococ? 1/55 Four letters picked without replacement from {k: 1, t: 1, j: 3, w: 2, u: 3}. Give prob of sequence twjj. 1/420 Two letters picked without replacement from {s: 1, z: 2, d: 1, h: 1, y: 1, b: 1}. Give prob of sequence bz. 1/21 What is prob of sequence mm when two letters picked without replacement from qqwqwwsqqwmsqqmqsqw? 1/171 What is prob of seq
{ "pile_set_name": "DM Mathematics" }
on multiple of 2 and v. 8 Suppose -6*f - 3 + 87 = 0. Calculate the lowest common multiple of 10 and f. 70 Suppose -5*k - 108 = 2*d, 5 = -k + 3*d - 3. Let i = k - -25. Calculate the lowest common multiple of i and 8. 40 What is the smallest common multiple of (-3 + 1)*(-2)/2 and 9? 18 Let t = 4 + 0. Let p(d) = 6*d**2 - 7*d + 4. Let s be p(t). Find the common denominator of (-1)/(-4) - 158/s and -119/20. 180 Let g = 436 + -3095/7. Let d = -71 + 14. Find the common denominator of g and 1 + -1 - d/8. 56 Let f = 3931 + -78603/20. What is the common denominator of -1 + -1 - (-51)/(-16) and f? 80 Let c = 39 + -85. Calculate the common denominator of 3/9 - (-1)/2 and (-20)/(-50) + c/140. 42 Let r be 2*((-131781)/(-96) - -2). Let q = -2753 + r. Calculate the common denominator of 65/2 and q. 16 Find the common denominator of (-452)/(-72) + 8/12 and 91/10. 90 Let s = -1 - -2. Let y = 6 + -4. What is the lowest common multiple of y and s? 2 What is the common denominator of (-27)/11 - 76/(-57) and -88/21? 231 Suppose 4*s = -3*t + 44, 0 = -4*t + 5*s + 6 + 1. Calculate the lowest common multiple of (9 - 0) + (15 - 12) and t. 24 Let a(d) = -3*d**3 + 4*d**2 - d + 4. Let u be 1/(-3) + 10/3. Let v(h) = -h**3 - 6*h**2 - 3*h. Find the common denominator of a(u) and v(-6). 1 Let k = -215135 - -34851623/162. Let x = k - -2/81. Find the common denominator of x and 75/4. 4 What is the lowest common multiple of 8 and (2 - 12)*(-2)/4? 40 Let j = -22631/22 + 1029. Let i be (9*1)/(3/(-48)). Calculate the common denominator of j and 789/i - (-2)/(-6). 176 Let o = -1877 - -30007/16. Calculate the common denominator of o and 83/46. 368 Let c = -122/39 + -20777/78. Let t = -238 - c. Find the common denominator of (9/56)/(9/276) and t. 14 Suppose 3*f - 37 = -4*a, 8*a - 3*a = 20. What is the least common multiple of 10 and f? 70 Suppose 0*s - 2*s - 7454 = 0. Let z = s - -74523/20. Find the common denominator of z and 7/8. 40 Suppose 5*j = 2*y + 5573, 3*j - 760 - 2559 = -5*y. Let r = j - 4373/4. Calculate the common denominator of -117/10 and r. 20 Suppose 6*f = 2*f + 16. What is the smallest common multiple of 9 and f? 36 Let i = -32723/4122 + 75/229. What is the common denominator of -17/18 and i? 18 Let h = 125388 - 1127077/9. Let r = 156 - h. What is the common denominator of 57/10 and r? 90 Let b = 5319/7 + -149461/168. Let l = 362/3 + b. What is the common denominator of (-2)/(-18)*84/(-8) and l? 24 Suppose 4*v + 0*v + 12 = 0, 4*w + 3*v + 113 = 0. Let b = -20 - w. Let f(c) = 2*c**2 - 3*c - 2. What is the least common multiple of b and f(3)? 42 Let n = -550 - -2187/4. What is the common denominator of n and 39/2? 4 Suppose 14 = 5*i - 11. Suppose 0 = i*c - 29 - 1. Find the common denominator of (-3 + 19/c)*139 and -89/14. 42 Let i(s) = s**2 + 1. Let u be i(-1). Suppose -29 = -r + 5*a - a, -u*a = 4*r - 26. Let q = 13 + -8. What is the least common multiple of q and r? 45 Let y = 15 - 7. Calculate the least common multiple of y and 9. 72 Let x = -7 + 6. Suppose 2*a + 3 = 2*c - 23, 4*a = -20. Calculate the least common multiple of 2/x + 0 - -11 and c. 72 Let l(f) = -f**2 - 8*f + 18. Let x be l(-15). Find the common denominator of (1 + 2)*x/6 and -31/2. 2 Let g(r) = r**2 + 5*r. Let b be g(-5). Suppose -15 = -5*z - b*z. What is the lowest common multiple of z and 2? 6 Suppose -4*h = 3*d - 16, h = 2*d + 1 + 3. Suppose -z - 15 + h = 0. What is the common denominator of 91/8 and (-2 + 1)/((-2)/z)? 8 What is the smallest common multiple of 4 and -2*(2 - 39/3)? 44 Let z be (1 - (-8)/(-4))*6. Let c = -1 - z. Calculate the least common multiple of c and 9. 45 Suppose 1 = -17*x + 18. What is the smallest common multiple of x and 11? 11 Calculate the common denominator of 24 and (-170)/(-30)*(-18)/(-10). 5 Suppose b = 3*h + 2*b - 48, -h = 4*b - 16. Let d = -10 + h. Calculate the lowest common multiple of 2 and d. 6 Suppose -10 = -k - 2. Let n = 7 - 5. Calculate the smallest common multiple of n and k. 8 Let y = 152 - 102. What is the least common multiple of y and 5? 50 Let c be (-48)/(-8)*(-7)/(-2). Let u = c - 7. Calculate the least common multiple of u and 24. 168 Suppose -6*x + 2*x = 0. Calculate the common denominator of (-97)/2 - (x - -1) and (-3)/(-9)*(5 - -3). 6 Suppose -3*f + 6*f - 6 = 0. Suppose -b + 15 = f*b. Calculate the lowest common multiple of 9 + (0 + 1 - -1) and b. 55 Let g = 74082 - 8000713/108. Find the common denominator of g and 57/14. 756 Let w = -217 + 146. Let x = -95/2 - w. What is the common denominator of ((-3)/(-8))/(18/(-183)) and x? 16 Calculate the common denominator of 453/(-45) + 4/6 and -23/9. 45 Calculate the common denominator of (2/8)/(3/(-242)) and (-5)/(-10)*(0 - 83). 6 Let q be (2 - 1) + 11701/6. Let u = 1926 - q. Find the common denominator of u and 3 + -1 + ((-71)/22 - -4). 66 Let o = -15055/1848 + 5/231. Let h = 755 + -1736. Let q = h + 10781/11. What is the common denominator of o and q? 88 Let i = 7168 + -1641482/229. Let p = -11639/916 + i. Find the common denominator of p and -67/6. 12 Suppose 2*d - 1 - 7 = 0. Let m be (d/12)/((-2)/(-6)). Let k(v) = 5*v**2 + 2*v - 1. Calculate the least common multiple of k(m) and 2. 6 Suppose 0*f - 50 = -5*u - 4*f, 0 = u + 4*f - 10. What is the smallest common multiple of u and 60? 60 Suppose 17 = 2*n + 2*i - 31, -5*i = -2*n + 62. What is the least common multiple of 20 and n? 260 Let w = 109/110 - 3159/385. Let a = 777295807 - 6255676663175/8048. Let j = a - 7/503. What is the common denominator of w and j? 112 Let b = -1075 + 8575/8. Suppose 0 = 3*f - 9, -3*f = y + 10. Calculate the common denominator of b and y. 8 Let o(n) = -n**2 + 4*n - 4. Let y be o(10). Calculate the common denominator of -33/8 and 42/y*4/(-3). 8 Suppose 8*u - 7*u = 10. What is the smallest common multiple of u and 0*3/3 + 11? 110 Let y(f) = 19*f**2 - 2*f + 1. Let u = 6 + -5. Let c(w) = 15*w**2 - 1. What is the least common multiple of y(u) and c(1)? 126 Let z = 114522225447/15244984 - 2/1905623. Let j = -7523 + z. Find the common denominator of j and 137/18. 72 Let n = -1745/948 + -6/79. Calculate the common denominator of 113/10 and n. 60 Let v be (3/6)/(2/24). Suppose 2*u - u - v = 0. Calculate the least common multiple of 3 and u. 6 Calculate the common denominator of (-36)/(-99)*50/(-8) and 11/2. 22 Suppose 6 + 6 = 3*f. Suppose f*l - 18 = l. Calculate the smallest common multiple of l and 4. 12 Suppose z + 0*z + 5*i + 10 = 0, -z - 2 = i. Let p = 6 + z. What is the lowest common multiple of p and 6? 6 Let b = -453281/30 + 15111. Find the common denominator of b and -39/14. 210 Let d(k) = k**3 - 7*k**2 - 11*k + 12. Let l be d(8). Calculate the common denominator of (l/(-18))/(40/6) and 77/2. 10 Suppose 33*v - 6 = 30*v. Suppose 8 = 2*a - r, -2*a = v*r - r - 4. Suppose 1 = 2*p + 3*t, -t = p + t. Calculate the smallest common multiple of p and a. 6 Let i = 60 + -36. What is the common denominator of (-211)/i + 2/3 and 23/6? 24 Let j be (12/(-5))/((-2)/(-10)). Let q = 22 + j. What is the smallest common multiple of 11 and q? 110 Let s = 2999/4 - 27287/36. Let a be ((-8096)/6 - 1)/1. Let r = 1338 + a. Find the common denominator of r and s. 9 Let f = -48 + 51. Calculate the smallest common multiple of f and 24. 24 Suppose 0 = 3*v + 6*v - 18. Calculate the lowest common multiple of v and 36. 36 Suppose 1 = -3*k + 31. What is the lowest common multiple of k and 3? 30 Let b(c) = 11*c - 6. Calculate the common denominator of b(4) and 1/2. 2 Find the common denominator of 61/16 and -4 - (126/(-4) + -3). 16 Let o = -779 - -1481/2. Calculate the common denominator of -113/10 and o. 10 Let s = -1611671193621/6566972 - -38/1641743. Let z = s + 244048. Let p = 1380 + z. Find the common denominator of 77/4 and p. 4 Let z = 26911 + -915047/34. Let q = -3709/10 - -370. What is the common denominator of z and q? 170 Let p = 3 - 0. Suppose 3*v = -57 + 12. Calculate the smallest common multiple of p and 40/v*(-15)/4. 30 Let w be ((-2)/3)/(1/63). Calculate the common denominator of -2 - (w/9 + 1) and -7/5. 15 Suppose 4*i = i + 126. Let s = i - 30. What is the smallest common multiple of s and 1*7 + -2 + 1? 12 Let u(q) = -q - 1. Let z be u(-2). Suppose i = 4 + z. Suppose -i*w - 5*n - 2 = -2*w, -8 = 2*n. Calculate the least common multiple of w an
{ "pile_set_name": "DM Mathematics" }
e? (a) -0.2 (b) 2 (c) 29 c Which is the second biggest value? (a) -2 (b) -1/5 (c) -0.1 (d) -0.5 (e) -47 b What is the biggest value in -40, 4, -4, -0.1? 4 What is the biggest value in -46.2, 1, 0.2? 1 Which is the second biggest value? (a) 2 (b) 1 (c) -1/14 (d) 0 b Which is the third smallest value? (a) 2 (b) -3 (c) -4 (d) 3/5 d Which is the third biggest value? (a) -0.28 (b) -0.3 (c) 1/2 b Which is the second biggest value? (a) -51 (b) 1/6 (c) -5/4 (d) -7 (e) 3 b Which is the biggest value? (a) 2/11 (b) 17/3 (c) 2/5 (d) -2/53 (e) -1 b What is the third biggest value in 64, 9, 5? 5 What is the third biggest value in 0.074, -6, 1/10, 2? 0.074 Which is the smallest value? (a) -22.12 (b) 5 (c) 4 (d) -0.1 a What is the smallest value in 1/2, 3, -1/3, 3.2? -1/3 Which is the fifth biggest value? (a) -1 (b) -0.9 (c) -2/39 (d) -3 (e) 4 d What is the fourth biggest value in -0.2, -29, -1/2, -2? -29 Which is the second biggest value? (a) 0.5 (b) -23 (c) 4/7 a Which is the second smallest value? (a) -55 (b) 0 (c) 3 (d) 2 b What is the second smallest value in -0.02, 3, -1/4? -0.02 Which is the third smallest value? (a) 17 (b) 0 (c) 2/13 (d) 3/5 d Which is the third biggest value? (a) -5 (b) 12 (c) 0.1 a Which is the second biggest value? (a) -5.085 (b) 1 (c) 1/2 c What is the second smallest value in -0.5, -1, 7, -0.2, -13? -1 What is the second biggest value in 2, 45, 5? 5 What is the biggest value in 0, 41, 1, -5? 41 What is the fifth smallest value in 15, -0.5, 4, -0.039, 2/3? 15 What is the third biggest value in 6, -2.22, -2/11? -2.22 What is the smallest value in 0, -104, 4, 5, 3? -104 What is the third smallest value in -9, -2/7, 0, -5, -4? -4 What is the third smallest value in 1/2, 0.1, -3, -2? 0.1 What is the second smallest value in 2/17, 0.1, -8006? 0.1 Which is the fourth biggest value? (a) -1 (b) -0.3 (c) -65 (d) -5 (e) 2 d What is the smallest value in -1/2, 1/5, 0.107? -1/2 What is the second smallest value in -0.007, -1, -1/6, 0.1? -1/6 Which is the smallest value? (a) 1/4 (b) -0.1 (c) 1/1684 b Which is the biggest value? (a) -1/8 (b) -0.5 (c) 482 (d) -2 (e) -0.4 c What is the second smallest value in -0.086, -0.5, 2/17, 0.5? -0.086 Which is the biggest value? (a) -0.3 (b) -15 (c) 3/8 c What is the third smallest value in 10, 2/3, -4, -6/11? 2/3 What is the second biggest value in -1, -5, 0.04, 0.4, -0.4? 0.04 Which is the second smallest value? (a) -6 (b) -0.5 (c) -2/11 b What is the fourth biggest value in -2/19, -0.18, -1/6, 2? -0.18 What is the fourth biggest value in 1, 0.07, 2, 0, -0.3? 0 What is the fourth biggest value in 3, 1, -2/17, -6? -6 What is the fourth smallest value in -4, 19, 1, -2? 19 Which is the third biggest value? (a) 1/2 (b) 0 (c) -1 c Which is the biggest value? (a) -6.4 (b) -1/7 (c) 1/5 (d) -0.5 (e) -4 c Which is the biggest value? (a) -3 (b) 83 (c) -0.3 b What is the second biggest value in 4, 2015, -0.3? 4 Which is the third biggest value? (a) -61 (b) -3 (c) -1 a What is the second biggest value in -5, -1/6, -5.8, 0.4, 2? 0.4 What is the third smallest value in 0.1, 1.3, -1/8, -2? 0.1 What is the third biggest value in -65/4, -5, -1/3? -65/4 Which is the smallest value? (a) -2/3 (b) 0.5 (c) -5 (d) -4 c Which is the second smallest value? (a) -1 (b) -0.19 (c) 3 b Which is the third smallest value? (a) -26 (b) 2 (c) -23 b What is the biggest value in 3, 1/77, -0.2? 3 Which is the smallest value? (a) -2/3 (b) 9 (c) 0.1 a Which is the smallest value? (a) 0.13 (b) 0 (c) -2/15 c What is the second smallest value in 4/5, 4, -82, -3/10? -3/10 What is the second smallest value in 2, 4/5, -2, -0.0218? -0.0218 Which is the third smallest value? (a) 6 (b) 1/30 (c) -3/46 a What is the fourth biggest value in 0.3, 2, -0.1, 2.9? -0.1 Which is the third smallest value? (a) -0.5 (b) -3 (c) 8/5 c Which is the third biggest value? (a) 0.02 (b) -5 (c) -2.06 (d) 1 c Which is the third biggest value? (a) 3/16 (b) -0.4 (c) 1/2 b Which is the smallest value? (a) 0.4 (b) 41/4 (c) 8 a What is the second biggest value in -59/4, -4, 6? -4 Which is the biggest value? (a) -4.8 (b) -3 (c) 1/3 (d) -60 c What is the fifth smallest value in -3, -2/9, 3, 13, -0.2? 13 What is the smallest value in 22, -2, -20? -20 Which is the fourth smallest value? (a) -0.4 (b) 8 (c) -1.1 (d) 2/15 b What is the second smallest value in 1098, 5, 1/4? 5 Which is the third biggest value? (a) 9 (b) 2 (c) 1/5 (d) 2/3 (e) 2/9 d What is the second smallest value in 0.1, -9.4, -2/5? -2/5 Which is the second smallest value? (a) -1 (b) 0.4 (c) -263 (d) -2/11 a What is the third smallest value in 29, 0.2, -16? 29 What is the fourth biggest value in -0.4, 4, -36, -1, 1/3? -1 What is the fourth smallest value in 0.02, -2, 1/7, 1/3, 27? 1/3 What is the third smallest value in -2/13, -3/199, 0.05? 0.05 Which is the second smallest value? (a) -1.1 (b) -0.3 (c) -2/7 (d) 0.5 b What is the fourth biggest value in 5, 0.4, 9, -2.9? -2.9 What is the biggest value in -0.04, 5, 144? 144 Which is the second biggest value? (a) -3/26 (b) -3/19 (c) -0.2 b Which is the third biggest value? (a) 231/5 (b) -1 (c) 3/5 b What is the third smallest value in -14, -2/11, -0.1, -0.5? -2/11 Which is the second smallest value? (a) -2/3 (b) -5 (c) -28 (d) 4 b What is the smallest value in -19, 0.3, -2? -19 Which is the fourth biggest value? (a) 4 (b) -2/15 (c) 0.04 (d) -4 (e) -2 e What is the third biggest value in 0, -1/97, 19? -1/97 Which is the fourth biggest value? (a) 4 (b) -2 (c) -4 (d) 317 c What is the fourth biggest value in 0.3, 1/4, 0.04, 2/7? 0.04 What is the second smallest value in -0.1, 23/9, -3/5, -1/6, 3? -1/6 What is the smallest value in 25.7, -0.3, 1, -3/7? -3/7 What is the biggest value in 18065, 4, -0.3? 18065 Which is the second smallest value? (a) 2 (b) 29 (c) 3 c What is the smallest value in -2/9, 1/10, 35/17? -2/9 What is the second smallest value in 0.2, -1/14, 46? 0.2 What is the smallest value in 2/29, -0.4, -5, 0.7, 2/13? -5 What is the second biggest value in -2, -8, -0.6? -2 Which is the second biggest value? (a) 4.2 (b) 2/17 (c) -2/11 b What is the biggest value in 0.2, 3, -0.5, 0? 3 Which is the third smallest value? (a) -0.5 (b) -89 (c) 10 c What is the fourth smallest value in -1, -1/36, 1/3, -3? 1/3 Which is the biggest value? (a) 0.3 (b) -5 (c) -3/4 (d) -14 a Which is the second smallest value? (a) -9 (b) 4 (c) -423 a What is the second smallest value in -0.4, -0.14, 1, 1/6? -0.14 Which is the third smallest value? (a) 4 (b) -0.4 (c) 25 (d) 0.5 a What is the fourth biggest value in 11, -0.12, 0.5, -5? -5 Which is the third smallest value? (a) -0.3 (b) -0.95 (c) -0.1 (d) 2/21 c Which is the second smallest value? (a) -2/3 (b) 1/5 (c) 64 b What is the third smallest value in 0.5, -11, 3? 3 What is the fourth smallest value in -5, 3, 0.3, -29, 0.2? 0.3 Which is the third smallest value? (a) -0.4 (b) -22 (c) -2/3 (d) -1 c Which is the third biggest value? (a) 28 (b) 1/7 (c) -7 c Which is the smallest value? (a) -17 (b) -30 (c) -5 b What is the second biggest value in -0.02, 2, 3/4, 0.1? 3/4 What is the fourth smallest value in 5, -0.01, -3, -2? 5 What is the fourth smallest value in -3, 3/5, 1/2, -8.8? 3/5 Which is the second biggest value? (a) 9 (b) -2/5 (c) -1/5 (d) 29 a Which is the second smallest value? (a) -5 (b) 1 (c) -3 (d) 4 (e) 5 c What is the second biggest value in -5.4, -1, 3? -1 Which is the biggest value? (a) 3 (b) 1 (c) 107 (d) 0 c What is the third biggest value in -5, -7, 11, -0.2? -5 What is the third smallest value in -59, 4, -2, -1? -1 What is the smallest value in -7, 0.2, -0.2? -7 What is the third smallest value in 2, 22, -5/3, -2? 2 Which is the biggest value? (a) 4 (b) 15 (c) -0.4 (d) 0.3 b Which is the third smallest value? (a) 2 (b) -0.3 (c) 0.4 (d) 3 a Which is the fourth biggest value? (a) -1/8 (b) -4.5 (c) 0.1 (d) -3 b What is the fourth smallest value in -0.057, -3, 1, -1, 6? 1 Which is the second smallest value? (a) -5 (b) -1/4 (c) 4/7 (d) -2/15 (e) 4 b What is the biggest value in 5/6, -5, 0.6? 5/6 Which i
{ "pile_set_name": "DM Mathematics" }
t replacement from jryrrierrejjejh. Give prob of picking 1 r and 1 e. 1/7 Two letters picked without replacement from {u: 5, j: 3}. Give prob of picking 1 j and 1 u. 15/28 Four letters picked without replacement from ttttttttt. What is prob of picking 4 t? 1 Four letters picked without replacement from {p: 1, k: 3, g: 1, t: 1, a: 4, l: 5}. What is prob of picking 2 a, 1 p, and 1 g? 2/455 What is prob of picking 2 u, 1 n, and 1 o when four letters picked without replacement from {u: 2, s: 9, n: 2, o: 3, i: 1}? 3/1190 What is prob of picking 1 x and 1 q when two letters picked without replacement from {c: 2, i: 1, e: 1, x: 1, q: 1, l: 1}? 1/21 What is prob of picking 3 z when three letters picked without replacement from zzzzz? 1 Calculate prob of picking 1 p and 2 f when three letters picked without replacement from {f: 3, j: 4, p: 4, z: 5}. 3/140 Three letters picked without replacement from {c: 1, b: 3, t: 1, r: 1, s: 4, o: 2}. What is prob of picking 1 c and 2 b? 3/220 Two letters picked without replacement from yuquy. Give prob of picking 1 u and 1 y. 2/5 Two letters picked without replacement from ggllvgdgvglvdlgdga. What is prob of picking 2 v? 1/51 Calculate prob of picking 1 i and 2 f when three letters picked without replacement from {o: 2, i: 5, f: 4}. 2/11 Calculate prob of picking 1 d and 2 i when three letters picked without replacement from {c: 3, i: 3, y: 3, d: 1}. 1/40 What is prob of picking 2 v when two letters picked without replacement from vvvvvvvvvv? 1 Two letters picked without replacement from hhuvvhuhhuuhhhhhvvhh. Give prob of picking 2 h. 33/95 What is prob of picking 2 h when two letters picked without replacement from {r: 1, h: 2, e: 11, x: 1}? 1/105 Four letters picked without replacement from dvdflffufdvu. Give prob of picking 1 v, 1 d, and 2 u. 2/165 Three letters picked without replacement from yzzzzyzzzzzyyzztyz. Give prob of picking 3 z. 55/204 Two letters picked without replacement from rrrorro. Give prob of picking 2 r. 10/21 Three letters picked without replacement from {m: 4, x: 14}. What is prob of picking 1 x and 2 m? 7/68 Three letters picked without replacement from zzzezzeeeeeeee. What is prob of picking 3 z? 5/182 Four letters picked without replacement from {f: 1, c: 2, z: 1, u: 1, h: 12}. What is prob of picking 1 z, 1 h, and 2 c? 3/595 Three letters picked without replacement from {h: 4, x: 2, w: 3, z: 3, c: 4}. What is prob of picking 1 z and 2 h? 9/280 What is prob of picking 3 u and 1 r when four letters picked without replacement from {r: 6, u: 2}? 0 What is prob of picking 2 b when two letters picked without replacement from {b: 2, s: 18}? 1/190 Two letters picked without replacement from {h: 2, o: 2, u: 6, b: 1, n: 1}. What is prob of picking 1 b and 1 h? 1/33 Calculate prob of picking 1 b and 1 w when two letters picked without replacement from bcccbbwbkkbcbbbwbw. 3/17 What is prob of picking 1 w, 1 g, 1 v, and 1 s when four letters picked without replacement from {p: 1, w: 2, v: 1, g: 9, s: 7}? 42/1615 Calculate prob of picking 1 q and 1 x when two letters picked without replacement from lvqqqvllvvlqqxlvax. 10/153 Calculate prob of picking 1 v and 2 x when three letters picked without replacement from rdxradjrvxxdjxx. 2/91 What is prob of picking 4 z when four letters picked without replacement from kzkkkkzkkkkkkkkzkz? 1/3060 Calculate prob of picking 2 k when two letters picked without replacement from kkk. 1 Four letters picked without replacement from {v: 8, z: 2, c: 1, d: 4, b: 4}. What is prob of picking 2 v, 1 z, and 1 c? 14/969 What is prob of picking 4 u when four letters picked without replacement from euuuueuueuuu? 14/55 What is prob of picking 1 k and 2 i when three letters picked without replacement from kkkiuucikckfifkfkfk? 8/323 What is prob of picking 1 c and 1 r when two letters picked without replacement from xccxxcrccrccrcrr? 1/3 What is prob of picking 2 n when two letters picked without replacement from vdddznnvjzzzdvndzd? 1/51 Calculate prob of picking 2 o when two letters picked without replacement from obbobbbbooooob. 3/13 Two letters picked without replacement from uwxdnnnnxkkxkkxnwxwx. Give prob of picking 1 k and 1 w. 6/95 Three letters picked without replacement from hqiauqzu. What is prob of picking 2 q and 1 u? 1/28 Calculate prob of picking 1 g and 2 w when three letters picked without replacement from {w: 3, s: 3, g: 1}. 3/35 Four letters picked without replacement from offootlttfllfo. What is prob of picking 2 f and 2 l? 18/1001 Two letters picked without replacement from {o: 1, t: 1, r: 1, b: 1, k: 1}. What is prob of picking 1 o and 1 r? 1/10 What is prob of picking 3 l and 1 o when four letters picked without replacement from llolllllllozzlzlllo? 143/646 Three letters picked without replacement from {q: 5, j: 3, t: 3}. Give prob of picking 1 j and 2 t. 3/55 What is prob of picking 2 m and 2 h when four letters picked without replacement from {m: 9, k: 4, h: 3}? 27/455 Two letters picked without replacement from {k: 1, m: 7, b: 2, s: 1, f: 3}. Give prob of picking 1 m and 1 k. 1/13 Calculate prob of picking 1 v, 1 e, 1 x, and 1 a when four letters picked without replacement from ayevevxvevvvevvyeve. 9/646 What is prob of picking 2 z when two letters picked without replacement from {q: 2, z: 2, i: 1, m: 2, x: 1}? 1/28 What is prob of picking 4 h when four letters picked without replacement from hhhhphhhphh? 21/55 Four letters picked without replacement from pgpppgp. Give prob of picking 4 p. 1/7 What is prob of picking 2 v when two letters picked without replacement from vggvggbvvvg? 2/11 Calculate prob of picking 2 v when two letters picked without replacement from vvvvvv. 1 Calculate prob of picking 2 p and 1 s when three letters picked without replacement from {s: 3, w: 3, r: 4, a: 5, p: 4}. 6/323 What is prob of picking 2 i when two letters picked without replacement from {i: 3, v: 1, z: 3}? 1/7 What is prob of picking 2 i when two letters picked without replacement from {i: 9}? 1 What is prob of picking 2 l when two letters picked without replacement from {l: 4, e: 3}? 2/7 Two letters picked without replacement from {c: 3, t: 4, l: 2}. Give prob of picking 2 l. 1/36 Two letters picked without replacement from {n: 1, f: 11}. Give prob of picking 2 f. 5/6 Two letters picked without replacement from vhxvv. What is prob of picking 1 v and 1 x? 3/10 Two letters picked without replacement from {o: 4, b: 6}. Give prob of picking 2 o. 2/15 Two letters picked without replacement from {b: 9, s: 11}. What is prob of picking 2 s? 11/38 Calculate prob of picking 4 l when four letters picked without replacement from llllclcl. 3/14 Calculate prob of picking 3 a when three letters picked without replacement from {h: 7, a: 7}. 5/52 Two letters picked without replacement from {x: 2, r: 1, n: 4, c: 2, o: 1, i: 5}. Give prob of picking 1 o and 1 c. 2/105 Two letters picked without replacement from {c: 2, o: 1, j: 2, a: 7}. Give prob of picking 2 a. 7/22 Two letters picked without replacement from pzx. What is prob of picking 1 z and 1 p? 1/3 Three letters picked without replacement from xxxwwwwxwwwx. Give prob of picking 2 x and 1 w. 7/22 What is prob of picking 4 z when four letters picked without replacement from eezzzezezzzzze? 18/143 Two letters picked without replacement from {z: 2, p: 1, x: 1, a: 1, c: 2}. Give prob of picking 1 z and 1 p. 2/21 Three letters picked without replacement from vosssosoovohhhs. Give prob of picking 1 s and 2 v. 1/91 What is prob of picking 1 q, 1 w, and 2 l when four letters picked without replacement from {j: 5, x: 1, k: 7, q: 2, l: 3, w: 2}? 4/1615 Two letters picked without replacement from abbkakkpkblkbbkk. Give prob of picking 1 p and 1 l. 1/120 Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {m: 4, o: 4, s: 4, a: 3, f: 4, l: 1}. 2/95 Three letters picked without replacement from {d: 5, a: 1, e: 9, m: 5}. What is prob of picking 2 m and 1 e? 3/38 Calculate prob of picking 2 c and 2 y when four letters picked without replacement from ceeyyeeyec. 1/70 Three letters picked without replacement from sqeeieeiimqepqeeqi. Give prob of picking 1 m, 1 q, and 1 i. 1/51 What is prob of picking 4 b wh
{ "pile_set_name": "DM Mathematics" }
e the prime factors of 339690043? 7, 11, 41, 107599 List the prime factors of 2396089843. 7, 191, 1792139 List the prime factors of 959557528. 2, 163, 487, 1511 What are the prime factors of 1355734312? 2, 101, 149, 11261 List the prime factors of 26368968. 2, 3, 1098707 What are the prime factors of 176145459? 3, 7, 8387879 What are the prime factors of 109772644? 2, 27443161 What are the prime factors of 418630341? 3, 29, 4811843 List the prime factors of 200169821. 31, 6457091 List the prime factors of 7469950511. 23, 324780457 List the prime factors of 994067958. 2, 3, 13, 23, 227, 2441 List the prime factors of 196479516. 2, 3, 2851, 5743 What are the prime factors of 2200050638? 2, 12037, 91387 List the prime factors of 10611229. 10611229 List the prime factors of 5308987201. 7, 19, 181, 220537 What are the prime factors of 101817529? 11, 631, 14669 List the prime factors of 68165744. 2, 23, 185233 What are the prime factors of 163781487? 3, 229, 26489 What are the prime factors of 68544622? 2, 839, 40849 List the prime factors of 689846848. 2, 193, 55849 List the prime factors of 52514860. 2, 5, 19, 138197 List the prime factors of 3400059228. 2, 3, 17, 16666957 What are the prime factors of 2409658416? 2, 3, 11, 47, 10789 What are the prime factors of 64747838? 2, 163, 198613 List the prime factors of 171309350. 2, 5, 61, 56167 What are the prime factors of 394209988? 2, 37, 2663581 List the prime factors of 12600853. 1667, 7559 List the prime factors of 349011163. 349011163 List the prime factors of 189897890. 2, 5, 7, 13, 23, 43, 211 List the prime factors of 101300563. 7, 13, 1113193 What are the prime factors of 246855281? 246855281 List the prime factors of 1895916106. 2, 7, 53, 541, 4723 What are the prime factors of 3586630448? 2, 29, 1709, 4523 What are the prime factors of 414809055? 3, 5, 9217979 What are the prime factors of 99606637? 13, 733, 10453 List the prime factors of 9155706. 2, 3, 7, 29, 7517 What are the prime factors of 164906063? 7, 3037, 7757 List the prime factors of 23690066. 2, 3347, 3539 What are the prime factors of 654287940? 2, 3, 5, 47, 77339 What are the prime factors of 67771590? 2, 3, 5, 2259053 What are the prime factors of 245326553? 245326553 What are the prime factors of 87579111? 3, 37, 789001 List the prime factors of 141829084. 2, 67, 529213 List the prime factors of 2165142702. 2, 3, 47, 7677811 List the prime factors of 118373885. 5, 7, 1709, 1979 List the prime factors of 101074291. 31, 97, 33613 List the prime factors of 70569452. 2, 2069, 8527 What are the prime factors of 73109159? 43, 409, 4157 List the prime factors of 25255641. 3, 8418547 What are the prime factors of 59137862? 2, 7, 103, 41011 What are the prime factors of 7721120057? 7, 6869, 160579 What are the prime factors of 585258993? 3, 11, 47, 41927 List the prime factors of 87881036. 2, 1987, 11057 What are the prime factors of 94650247? 94650247 List the prime factors of 163735800. 2, 3, 5, 31, 8803 List the prime factors of 744888851. 7, 263, 311, 1301 What are the prime factors of 33771328? 2, 157, 3361 What are the prime factors of 68053233? 3, 103, 113, 1949 List the prime factors of 2416736181. 3, 43, 101, 251, 739 List the prime factors of 34228934. 2, 17114467 What are the prime factors of 218466762? 2, 3, 17, 521, 4111 What are the prime factors of 2089809869? 7, 5701, 7481 List the prime factors of 121672292. 2, 7, 620777 List the prime factors of 123559145. 5, 17, 89, 16333 List the prime factors of 2338008939. 3, 7, 491, 75583 List the prime factors of 11012161. 31, 109, 3259 What are the prime factors of 1547254557? 3, 171917173 What are the prime factors of 2838261554? 2, 17, 83478281 List the prime factors of 3318072556. 2, 499, 1662361 What are the prime factors of 142042276? 2, 17, 277, 7541 List the prime factors of 2403275818. 2, 109, 631, 17471 What are the prime factors of 28968918? 2, 3, 11, 17, 25819 What are the prime factors of 10487563? 19, 23, 103, 233 List the prime factors of 162060220. 2, 5, 7, 53, 21841 List the prime factors of 38858821. 17, 2285813 What are the prime factors of 603306119? 13, 46408163 What are the prime factors of 116936140? 2, 5, 23, 254209 What are the prime factors of 493416994? 2, 7, 35244071 List the prime factors of 3946965010. 2, 5, 37, 827, 12899 What are the prime factors of 643860650? 2, 5, 12877213 What are the prime factors of 949576900? 2, 5, 9495769 List the prime factors of 157507537. 11, 3217, 4451 List the prime factors of 598432398. 2, 3, 19, 59, 193, 461 List the prime factors of 7428440120. 2, 5, 2111, 87973 List the prime factors of 16193314. 2, 8096657 List the prime factors of 81575546. 2, 13, 3137521 What are the prime factors of 73269761? 73269761 What are the prime factors of 86252490? 2, 3, 5, 958361 What are the prime factors of 337506110? 2, 5, 271, 124541 List the prime factors of 70066370. 2, 5, 11, 636967 List the prime factors of 50165687. 11, 13, 350809 List the prime factors of 436147513. 12829, 33997 List the prime factors of 4047819479. 11, 197, 1093, 1709 List the prime factors of 82293370. 2, 5, 19, 433123 List the prime factors of 490617534. 2, 3, 11, 29, 8839 List the prime factors of 806568431. 10429, 77339 What are the prime factors of 1491910742? 2, 7, 19, 29, 3947 What are the prime factors of 377313098? 2, 1399, 134851 What are the prime factors of 71971701? 3, 653, 36739 List the prime factors of 665335740. 2, 3, 5, 251, 44179 What are the prime factors of 25380896? 2, 101, 7853 What are the prime factors of 528127400? 2, 5, 241, 10957 What are the prime factors of 182433803? 182433803 List the prime factors of 158688086. 2, 23, 109, 31649 List the prime factors of 7818086818. 2, 1381, 1489, 1901 What are the prime factors of 2136669829? 7, 857, 356171 What are the prime factors of 484150075? 5, 503, 38501 List the prime factors of 3299324024. 2, 412415503 List the prime factors of 2000566589. 7, 285795227 What are the prime factors of 305915592? 2, 3, 12746483 List the prime factors of 1467576001. 29, 3191, 15859 What are the prime factors of 60012303? 3, 13, 1538777 List the prime factors of 55500717. 3, 18500239 What are the prime factors of 1521953119? 1521953119 List the prime factors of 25019346. 2, 3, 11, 379081 List the prime factors of 48993444. 2, 3, 453643 List the prime factors of 2318982. 2, 3, 523, 739 What are the prime factors of 1574696575? 5, 71, 887153 What are the prime factors of 149509597? 61, 691, 3547 List the prime factors of 214463417. 7, 107, 286333 What are the prime factors of 1306916826? 2, 3, 61, 3570811 List the prime factors of 32491718. 2, 7, 2320837 List the prime factors of 1684221534. 2, 3, 41, 673, 3391 List the prime factors of 1061558963. 179, 5930497 What are the prime factors of 121808369? 121808369 List the prime factors of 389412433. 193, 2017681 What are the prime factors of 339941758? 2, 13, 17, 509, 1511 List the prime factors of 257808492. 2, 3, 19, 29, 41, 317 List the prime factors of 1273853387. 71, 263, 68219 List the prime factors of 5105994132. 2, 3, 17, 25029383 List the prime factors of 27599251. 27599251 List the prime factors of 883802120. 2, 5, 17, 1299709 What are the prime factors of 1547681139? 3, 17, 10115563 List the prime factors of 132995301. 3, 17, 31, 84121 List the prime factors of 688033380. 2, 3, 5, 947, 12109 What are the prime factors of 3006799972? 2, 11, 5507, 12409 List the prime factors of 1598647838. 2, 107, 113, 66109 List the prime factors of 184332583. 184332583 What are the prime factors of 5441116629? 3, 13, 139515811 List the prime factors of 221495359. 23, 29, 73, 4549 What are the prime factors of 70879138? 2, 11, 173, 1693 List the prime factors of 24120255. 3, 5, 1608017 List the prime factors of 65093751. 3, 7232639 List the prime factors of 121641243. 3, 40547081 List the prime factors of 27753599. 27753599 What are the prime factors of 47895831? 3, 41, 293, 443 List the prime factors of 454772096. 2, 3552907 What are the prime factors of 1060338732? 2, 3, 23, 3841807 List the prime factors of 1115375958. 2, 3, 433, 143107 What are the prime factors of 2920919094? 2, 3, 162273283 What are the prime factors of 188694454? 2, 13, 1237, 5867
{ "pile_set_name": "DM Mathematics" }
-100. 96 -48 divided by -19 48/19 What is -11 divided by 8? -11/8 130 divided by -12 -65/6 Calculate 369 divided by 3. 123 Calculate 4584 divided by -6. -764 What is -16428 divided by 6? -2738 -1220 divided by 2 -610 Calculate 124 divided by 8. 31/2 Calculate 8 divided by 109. 8/109 What is -59 divided by 86? -59/86 -12882 divided by -2 6441 -496 divided by 1 -496 Calculate -25 divided by 2. -25/2 965 divided by 193 5 Calculate 15 divided by 1237. 15/1237 What is -500 divided by 100? -5 1 divided by -168 -1/168 Calculate -3318 divided by 79. -42 Calculate -40 divided by 13. -40/13 What is 611 divided by 7? 611/7 Divide -65 by -39. 5/3 Divide 68 by -17. -4 0 divided by -91 0 Calculate -3 divided by 243. -1/81 Calculate 0 divided by 785. 0 Divide 85 by 1. 85 Divide 110 by 18. 55/9 What is 2 divided by 42? 1/21 -6545 divided by 935 -7 Calculate -3456 divided by -3456. 1 What is 312 divided by 78? 4 Divide 11904 by 1488. 8 What is -14 divided by -4? 7/2 Divide 12 by -74. -6/37 Calculate 216 divided by 8. 27 306 divided by 10 153/5 Divide 144 by -6. -24 What is -13 divided by 2? -13/2 What is 3 divided by -64? -3/64 Calculate -2171 divided by 167. -13 0 divided by 145 0 -5 divided by 19 -5/19 -3350 divided by 670 -5 18698 divided by -2 -9349 What is -7030 divided by -5? 1406 Calculate -89 divided by 4. -89/4 Calculate 53268 divided by -3. -17756 What is -577 divided by -577? 1 Divide -1553 by -11. 1553/11 Calculate 0 divided by -841. 0 Calculate -48210 divided by -5. 9642 Calculate -3 divided by 132. -1/44 What is 4 divided by -32? -1/8 Calculate -12 divided by 5. -12/5 3588 divided by 52 69 What is 95 divided by 2? 95/2 Calculate 1078 divided by 22. 49 -12971 divided by -6 12971/6 Calculate -60 divided by 15. -4 What is -1420 divided by 4? -355 Divide -97 by 27. -97/27 Divide 29 by -1. -29 Divide 0 by -76. 0 -77 divided by 65 -77/65 -75 divided by -4 75/4 Divide 83 by 83. 1 What is -14 divided by 7? -2 123 divided by 2 123/2 Calculate -116 divided by 6. -58/3 Divide -48 by -16. 3 -303 divided by -303 1 Calculate 368 divided by -92. -4 Divide -1750 by 50. -35 Calculate 8 divided by 50. 4/25 252 divided by 84 3 What is 1 divided by -46? -1/46 Divide 1977 by 659. 3 -77 divided by 1 -77 -2143 divided by -1 2143 -367 divided by -5 367/5 Divide 21 by -8. -21/8 Calculate 438 divided by -438. -1 -82 divided by 21 -82/21 24 divided by 1 24 -35 divided by 62 -35/62 What is 129 divided by -56? -129/56 2475 divided by 495 5 1099 divided by -6 -1099/6 Calculate 17750 divided by -125. -142 What is -2 divided by -13? 2/13 What is 5 divided by -1? -5 Divide 3 by -89. -3/89 Calculate 4935 divided by -329. -15 Divide 127 by 4. 127/4 Calculate 6365 divided by 5. 1273 What is -162 divided by -18? 9 What is -14 divided by -20? 7/10 4935 divided by -705 -7 -6640 divided by 664 -10 Divide 0 by 2683. 0 Divide 27 by -30. -9/10 Calculate 1433 divided by -7. -1433/7 Divide -426 by -213. 2 Calculate -396 divided by 9. -44 What is 1170 divided by -10? -117 Calculate -156 divided by 39. -4 -315 divided by -63 5 What is 200 divided by 50? 4 Divide 11 by -48. -11/48 4 divided by 689 4/689 Calculate -6044 divided by 3. -6044/3 What is 1164 divided by 6? 194 Divide -432 by 65. -432/65 -1 divided by 1514 -1/1514 Divide -4 by -2477. 4/2477 Calculate -11 divided by 337. -11/337 Calculate 112 divided by 56. 2 What is 360 divided by 90? 4 What is -5 divided by -280? 1/56 Calculate -252 divided by 6. -42 Calculate -133 divided by -7. 19 Calculate -28280 divided by -56. 505 Divide -240 by 240. -1 4545 divided by 2 4545/2 What is -70 divided by -5? 14 What is 84 divided by 2? 42 Calculate 206 divided by -4. -103/2 -106 divided by -3 106/3 What is -1 divided by 2517? -1/2517 Calculate -246 divided by -6. 41 328 divided by -164 -2 Calculate -7429 divided by -17. 437 -2796 divided by -699 4 -504 divided by -6 84 -5529 divided by -3 1843 Divide 2113 by 6. 2113/6 1 divided by -55 -1/55 Calculate 9 divided by -142. -9/142 -7803 divided by 5 -7803/5 Divide 10992 by 2748. 4 Calculate 1060 divided by 212. 5 355 divided by 1 355 7599 divided by -5 -7599/5 What is -74 divided by 112? -37/56 Calculate 388 divided by -2. -194 What is -81 divided by 27? -3 Divide 8039 by 6. 8039/6 What is 2405 divided by -3? -2405/3 What is 5 divided by 2569? 5/2569 What is -4 divided by 54? -2/27 -3 divided by 3 -1 What is 1414 divided by 2? 707 Divide 0 by -12. 0 What is -366 divided by 3? -122 What is 307 divided by 1? 307 Divide 64 by -64. -1 Divide -183 by 3. -61 Calculate -126 divided by 7. -18 Calculate 213 divided by -213. -1 26 divided by -2 -13 What is 0 divided by -3? 0 Calculate -23271 divided by 4. -23271/4 What is 165 divided by -23? -165/23 Divide -2886 by -26. 111 Divide -24 by 310. -12/155 -31 divided by 2 -31/2 What is 144 divided by 16? 9 Calculate 347 divided by 2. 347/2 74 divided by -59 -74/59 Calculate -273 divided by 3. -91 49 divided by 4 49/4 What is -105 divided by 5? -21 Calculate -2 divided by -34. 1/17 7254 divided by 117 62 Calculate 1725 divided by 25. 69 -1 divided by 22 -1/22 Calculate 43 divided by 329. 43/329 Calculate -1883 divided by 1. -1883 -1436 divided by -4 359 Divide -891 by -33. 27 Calculate 19156 divided by -2. -9578 What is -1925 divided by -385? 5 11 divided by -84 -11/84 1 divided by -1 -1 What is 65 divided by -17? -65/17 What is -593 divided by 10? -593/10 Divide 2 by 28. 1/14 Divide 4 by 85. 4/85 Calculate 2 divided by -193. -2/193 Divide -143 by -1. 143 Divide 246 by 123. 2 What is -16 divided by -646? 8/323 Calculate 4326 divided by 206. 21 -195 divided by -39 5 Divide -4 by -590. 2/295 Divide 9399 by -723. -13 260 divided by 65 4 Divide -24 by -973. 24/973 Calculate -154 divided by -17. 154/17 Divide 1 by -1511. -1/1511 Calculate -14 divided by 3. -14/3 Divide 18 by 18. 1 Calculate -1 divided by 61. -1/61 What is 2960 divided by -2? -1480 -184 divided by 9 -184/9 What is 0 divided by 1229? 0 What is 6973 divided by 1? 6973 What is -8 divided by -18? 4/9 -42424 divided by -5303 8 Calculate 2918 divided by -3. -2918/3 What is 8855 divided by -1771? -5 Calculate 45 divided by -31. -45/31 Divide 2530 by 1. 2530 Divide -168 by 28. -6 Divide -6 by -11. 6/11 -10975 divided by -1 10975 What is 6336 divided by -1056? -6 Calculate 5 divided by -369. -5/369 Divide -1342 by 6. -671/3 What is 2049 divided by 3? 683 Calculate -247 divided by -13. 19 Calculate 37 divided by -20. -37/20 What is 636 divided by -1? -636 -26 divided by 2 -13 Calculate -1867 divided by -1. 1867 What is -10143 divided by 3381? -3 Calculate 1042 divided by -521. -2 Divide -537 by -4. 537/4 3069 divided by 99 31 Divide 162 by 6. 27 Calculate 4 divided by -73. -4/73 What is 5 divided by 18? 5/18 -2 divided by 8 -1/4 What is 2444 divided by 47? 52 What is 62 divided by 238? 31/119 Calculate 91 divided by -56. -13/8 8897 divided by 7 1271 Calculate -718 divided by 3. -718/3 -44 divided by 22 -2 162 divided by -3 -54 -1056 divided by -24 44 Divide -3 by -2595. 1/865 Calculate -3220 divided by 14. -230 Divide 1870 by 34. 55 462 divided by 66 7 -220 divided by 4 -55 1318 divided by 1318 1 61 divided by -26 -61/26 6 divided by -289 -6/289 Calculate 1042 divided by 5. 1042/5 Divide 26789 by -5. -26789/5 What is -9 divided by -6? 3/2 Divide -340 by 11. -340/11 2097 divided by 3 699 470 divided by 235 2 Divide -4 by 1766. -2/883 What is 158 divided by 5? 158/5 -4 divided by -2251 4/2251 Calculate 9 divided by 37. 9/37 What is 19318 divided by -1486? -13 What is 1324 divided by -4? -331 2886 divided by 1443 2 Calculate 8920 divided by -2230. -4 252 divided by -18 -14 What is -20 divided by 6? -10/3 Calculate -160 divided by 40. -4 What is -1230 divided by 3? -410 What is 6132 divided by 6? 1022 What is -3 divided by -520? 3/520 What is -27 divided by -3? 9 Calculate -2 divided by -4158. 1/2079 132 divided by -33 -4 What is -2496 divided by -624? 4 -4212 divided by -468 9 What is 0 divided by 178? 0 Divide 1500 by -250. -6 16736 divided by -1 -16736 What is 371 divided by 4? 371/4 Divide 248 by -62. -4 What is -1051 divided by -1051? 1 Divide -2 by 1. -2 Calculate -2 divided by 36. -1/18 Divide 64 by 2. 32 What is 887 divided by 5? 887/5 1 divided by 99 1/99 What is 3 divided by 3037? 3/3037 Divide 48 by 1. 48
{ "pile_set_name": "DM Mathematics" }
(d) = d**2 - 3*d + 1. Let n be q(3). Put n, 6, 4 in ascending order. n, 4, 6 Let l = -0.37 - -0.07. Suppose 4*n = -0*n + 68. Suppose -5*q + n - 2 = 0. Sort -3, q, l in decreasing order. q, l, -3 Let a = 43 - 31. Let p be ((-3)/9)/((-2)/a). Suppose p*x + 0*n - 6 = 4*n, -15 = -5*x - 5*n. Sort x, -1, -5 in descending order. x, -1, -5 Let x(z) = -3*z - 1. Let n be x(-1). Suppose 2*h - 3*h = -4*d + 16, n*d + 5*h - 30 = 0. Put 3, d, -2 in increasing order. -2, 3, d Suppose -3*b + 16 = -7*b, z = b + 7. Sort 2, z, -1, -2 in ascending order. -2, -1, 2, z Let m = -0.7 + 0.8. Let j = 2.5 + 2.5. Sort m, 3, j. m, 3, j Let j(f) = -f - 7. Let x be j(0). Put x, 1, -2, 0 in increasing order. x, -2, 0, 1 Let j = -3.8 + -1.2. Let u = 6 + -13. Let p = u - j. Put -1/2, p, -3 in decreasing order. -1/2, p, -3 Let n = -35 - -43.5. Let p = -7 + n. Let x = 0.5 - p. Put x, -1/2, 1/3 in decreasing order. 1/3, -1/2, x Let k be ((-18)/(-6))/((-117)/6). Sort 3/4, k, -3. -3, k, 3/4 Let z be 4 + (-2)/(-8)*0. Let v(i) = -2*i + 1. Let w be (2/6)/((-1)/3). Let j be v(w). Sort z, -4, j in ascending order. -4, j, z Let j be (2/3 - -3)*-3. Put -2, 0, j in increasing order. j, -2, 0 Suppose -2*s - 10 = 3*s. Let n be (-10)/(-6) + 4/(-6). Let x(t) = 4*t**2 + t - 1. Let a be x(n). Put a, s, 1 in increasing order. s, 1, a Let q = -0.1 - 0.5. Let u = q + 0.6. Put -1, u, 0.4 in descending order. 0.4, u, -1 Suppose 2*u - 4 = s + 1, 6 = u + 3*s. Suppose -u*b - 5 = 4. Sort 0, b, -2 in ascending order. b, -2, 0 Let j = -1.7 - -1.3. Sort 0.3, -1, j. -1, j, 0.3 Let s = -0.47 - 2.53. Put 0.01, -0.2, s in descending order. 0.01, -0.2, s Let n(x) = x**3 + 16*x**2 + 16*x + 13. Let w be n(-15). Suppose -2*k - 20 = -0*d - 4*d, -23 = -5*d + 2*k. Put d, w, 0 in increasing order. w, 0, d Let h = -22 - -18. Sort 1/5, h, -3/4, -1/5 in descending order. 1/5, -1/5, -3/4, h Suppose 4*h + 7*u - 2*u = 4, h - 22 = 4*u. Sort h, 0, 2. 0, 2, h Let z be (-21)/(-14)*(-4)/3. Sort -4, 3, z, 0. -4, z, 0, 3 Let l = 15 + -10. Suppose 5*a = -4*w + 8 - 3, -3*w = 3*a - 3. Suppose 0*p + l*p = w. Put -5, p, 3 in ascending order. -5, p, 3 Suppose 0 = -9*f - 0 + 9. Put -28, -3, 5, f in descending order. 5, f, -3, -28 Suppose -2*j = -9 - 1. Put -3, -7, j in ascending order. -7, -3, j Let b = 3 - -547. Suppose 0 = 2*q - 3*j - 2*j - 241, 5*q - 2*j - b = 0. Let o be 4/(-16) - (-15)/q. Sort 2/3, 2, o in increasing order. o, 2/3, 2 Let l be ((-6)/(-2) + 0)/((-9)/(-15)). Suppose -3*p + 2*j + 22 = 0, 5*j + 0*j + 10 = 0. Sort p, -1, l. -1, l, p Suppose -2*z + 24 = 2*z. Suppose -3*j + z = -0. Let v(a) = -a**2 + 11*a - 12. Let f be v(10). Sort f, j, 5 in descending order. 5, j, f Let t = 0.03 - -0.07. Sort -0.3, t, -2 in ascending order. -2, -0.3, t Let o(p) = p**2 + p - 1. Let t(y) = y + 1. Let m(j) = -3*j - 1. Let u be m(1). Let z be t(u). Let x be o(z). Put -2/9, 1/4, x in descending order. x, 1/4, -2/9 Suppose d + 4 - 8 = 0. Sort -4, -5, d, 1 in ascending order. -5, -4, 1, d Suppose 5*d + 5*a = -5, 3*d = -d - 3*a - 5. Sort 0.1, d, -0.22 in ascending order. d, -0.22, 0.1 Let f = -1.1 - -1. Suppose 0 = -4*g - h - 3*h + 8, 0 = 4*g + 5*h - 13. Let n be 2*g/(2 + 7). Put f, n, 2/11 in decreasing order. 2/11, f, n Let y = 71/2 - 34. Let t = -5 - -4.9. Put -4, y, t in decreasing order. y, t, -4 Suppose -2*x = -13 + 17. Put 4, x, 2 in ascending order. x, 2, 4 Let q = -30 + 32. Put q, -5/4, 3/4 in descending order. q, 3/4, -5/4 Let v(i) = -i + 16. Let n be v(7). Sort -1, 3, n. -1, 3, n Suppose -5*f - 4*a = 17, -3*f = 3*a + 14 - 5. Let n(i) = i**3 + 28*i**2 + 26*i - 25. Let u be n(-27). Put u, -2, f in ascending order. f, -2, u Suppose 3*j + 0*j + 13 = 2*r, 5*j = -25. Let y = r - 2. Put y, 5, 1 in ascending order. y, 1, 5 Suppose -l + 16 = 3*l. Let u(v) = v**3 - 4*v**2 - 5*v - 4. Let w be u(5). Sort 2, w, l in decreasing order. l, 2, w Let u be (-5)/(-3)*(2 + -5). Sort 0, 6, u in descending order. 6, 0, u Let u be ((-5)/2)/((-3)/(-54)). Let k be (-32)/(-18) + (-10)/u. Sort -1, 3, k in ascending order. -1, k, 3 Let d = 0 - 1. Let j = d + 2. Let q(x) = -x**2 - 5*x + 1. Let n be q(-4). Sort j, n, 2 in increasing order. j, 2, n Let m(a) = 2*a. Let p(l) = -l**3 - 11*l**2 - 11*l - 8. Let u be p(-10). Suppose -u = 3*z - 5. Let j be m(z). Put 7, j, -5 in descending order. 7, j, -5 Let l(n) = n**3 + 7*n**2 + 6*n + 2. Let f be l(-6). Suppose -3*w + 9 = -3. Suppose w*d = -4 - 0. Sort f, d, 4 in ascending order. d, f, 4 Let p(g) = -g. Let x be p(0). Suppose x*w + 10 = -2*w. Put w, 4, 5 in descending order. 5, 4, w Suppose 0 = 3*f - 2 - 1. Sort 3, -5, f in ascending order. -5, f, 3 Let x = 2 - 4. Let a = -16 + 11. Let o be -2 - (-1)/((-18)/(-40)). Sort o, a, x in decreasing order. o, x, a Suppose 2 + 5 = a. Put 5/2, 2, a in descending order. a, 5/2, 2 Let t = -65.8 - -66. Put 0.1, 0.02, t in descending order. t, 0.1, 0.02 Let g(z) = z + 3. Let b be g(-5). Sort 2, 0, b in increasing order. b, 0, 2 Let v be (4/3)/(6/(-9)). Sort v, 4, -1. v, -1, 4 Let c(m) = -m - 2. Let v be c(-9). Let a = -6 + v. Sort 0, a, -2/15 in ascending order. -2/15, 0, a Let p = 159/77 - 18/11. Let i = p + -16/21. Let b = -0.03 + 5.03. Put i, 2/3, b in increasing order. i, 2/3, b Let c = -0.14 - -4.14. Put -0.4, c, -5 in decreasing order. c, -0.4, -5 Let z(k) = -18*k**3 + 2*k + 1. Let t be z(-1). Put -2, t, 2 in decreasing order. t, 2, -2 Let q be 2/6 + (-2)/4. Let w = -4.9 - 0.1. Sort q, -0.5, w in decreasing order. q, -0.5, w Let l be ((-1)/(-3))/(3/18). Suppose 4*f - 2*p = -18 + 2, 5*f - l*p = -19. Put f, -0.3, 0.3 in descending order. 0.3, -0.3, f Let h(a) = -a**3 - 6*a**2 + a + 5. Let x be h(-6). Let g be 2*-1 + -2*1. Let w = -4 + 6. Put g, w, x in descending order. w, x, g Let t = 0.14 + 3.86. Put 5, 0, t in decreasing order. 5, t, 0 Suppose -2*c + 0*c = -8. Suppose 15 = c*p - 5. Put -1, 1, p in decreasing order. p, 1, -1 Let g be 361/95 - 1/(-5). Let h = 4 - 2. Suppose r - h*i = 3, -4*r = -5*i - 13 + 4. Put -1, r, g in ascending order. -1, r, g Suppose -d + 5*a - 8 = d, 4*d - 6 = -a. Put 2, d, -0.5 in decreasing order. 2, d, -0.5 Let o = 1 + -4. Suppose -3*f + 14 - 2 = 0, -10 = 2*z - f. Let x be (z + 4)*(2 + -1). Sort -2, x, o in decreasing order. x, -2, o Suppose -4*y - 52 = 4*t, 5*y + 2*t = -34 - 16. Sort -1, 5, -3, y in ascending order. y, -3, -1, 5 Let p = -1.3 + 0.8. Let l be -2 + 4/2 - 3. Let n = -4 - -4.1. Sort p, n, l in ascending order. l, p, n Suppose 0 = -16*a + 12*a - q - 7, 3*a - 5*q + 11 = 0. Put a, 5, -5, -3 in descending order. 5, a, -3, -5 Suppose -2*l + 3*a = -2*a - 18, 0 = 5*a + 10. Let s = -9 + l. Let y be 0 - 0 - (-10 + 14). Sort s, -1, y in descending order. -1, y, s Suppose -3*c - 2 = -4*c. Suppose -2*l - c*b = 4 + 8, 4*l + 22 = -3*b. Let n = 0.08 - -2.92. Sort -1/3, l, n in descending order. n, -1/3, l Let m be 9/3 + -2 + -11 + 8. Put 10, 1, m in decreasing order. 10, 1, m Let j = -0.86 + -0.24. Let a = 1.2 + j. Put -1/7, a, 0.4 in descending order. 0.4, a, -1/7 Let r = 0.22 - -0.08. Let m be (2/(-25))/(3 + 145/(-50)). Put -1/6, r, m in decreasing order. r, -1/6, m Let y = 1264350579/658 - 1921506. Let u be 3/(-94)*1/(-3). Let b = u - y. Sort -2, 0, b. -2, 0, b Let z = 2 - 34. Let d be (-2)/8 + (-8)/z. Sort 1/3, d, 0.3. d, 0.3, 1/3 Let a = 2 + 0. Let t = 7 - 3. Let q be (-2)/t*-3*2. Sort a, q, 5. a, q, 5 Let d(x) = 5*x**2 - 5*x - 10. Let m(t) = -9*t**2 + 11*t + 19. Let i(b) = -7*d(b) - 4*m(b). Let u be i(10). Sort -2, -3, u in descending order. u, -2, -3 Let o = 91 + -727/8. Suppose 3*d = 4*d - 8. Let a = -11 + d. Sort 1, a, o in decreasing order. 1, o, a Let w = 8.6 - 6. Let b = 3 - w. Put -4, -2/11, b in descending order. b, -2/11, -4 Let t = -0.9 - -1. Let r = 0.3 - 0. Sort -4, t, r in increasing order. -4, t, r Let w = 117 + -117. Sort w, 3, 33 in decreasing order. 33, 3, w Suppose 0*t + 3*t - 12 = 0. Suppose 2*w + 29 = -3*w + t*c, 0 = 4*w - c + 21. Put w, -4, 4 in increasing order. w, -4, 4 Let i = 1/13 - 43/52. Let r = 22.1 - 21. Let y = r + -0.1. Put y, -2, i in increasing order. -2, i, y Let z = 15 + -10. Sort -0.1, z, 2/9 in descending order. z, 2/9, -0.1 Let f = -497/2 + 746/3. Let m = -2.6 + 3. Sort f, m, 3 in increasing order. f, m, 3 Let z = 13 - 18. Suppose p - 4 = -p. Put 1/2, z, p in decreasing order. p, 1/2, z Let f = -1361/9 - -151.
{ "pile_set_name": "DM Mathematics" }
4*i = 21. Suppose 18*x = w*x + 2. Suppose 3*c - 2 = 10. Solve -d = x*p + c, d - 14 = -0*p + 4*p for p. -3 Let u be (-3080)/(-165) - (-12)/9. Solve 2*a = d + 6 - 12, -4*a = u for d. -4 Let g be ((-28)/2)/1*2/(-4). Let z = -3 + g. Solve 7 = -t - 4*u, t - u + z*u + 4 = 0 for t. 5 Let p be (10 - 208/24)/((-1)/(-6)). Solve 3*s = 2*b + 6, 0*b + 4*b - 4*s + p = 0 for b. 0 Let c(n) = n**3 + 35*n**2 + 37*n + 108. Let f be c(-34). Solve 0 = i - 2*i + 2, f = -2*x + 3*i for x. 0 Let i be (24/(-15))/(-4)*5. Let d = 14 + -10. Solve 0 = -n + d*p + 23, 2*n = p - i*p + 1 for n. 3 Let s(u) = 2*u - 20. Let f(w) = -6*w + 61. Let c(j) = -3*f(j) - 8*s(j). Let k be c(14). Solve -m = h - 3*h - 6, -h + k*m = -6 for h. -4 Let m = 1577 - 1553. Solve 2*k = -5*h + 23, 0 = 3*h - 2*k + 7 - m for h. 5 Let u = -1156 - -1159. Solve 0 = -4*m + l - 0*l - 24, u*m + 5*l - 5 = 0 for m. -5 Suppose 2*x - 52 = -2*l, -x + 2*x = -4*l + 35. Let i be 25 + -6 + -6 + 0. Let g = 2 + -2. Solve t + i = -3*f, -5*f - x = t - g*f for t. 2 Suppose 100 - 588 = 8*q. Let t = 66 + q. Solve -a - 3*a + 1 = -5*o, 2*a + 7 = -t*o for a. -1 Let z = 90 - 62. Suppose 3*p - 4*x + z = 7*p, -p = 4*x - 13. Solve 0 = 4*t - p*a + 10 - 33, -10 = t + 4*a for t. 2 Suppose 32*j = 7 + 185. Solve j*z + 10 = 7*z + 3*b, -5*z + 5*b + 10 = 0 for z. 4 Let x(k) = 22*k - 3. Let r be x(2). Let z = -27 + r. Solve 0 = y - 3*a + 7, 0*y - z = 4*y + 2*a for y. -4 Let a be (3/2)/(1/(-2)). Let z be ((-16)/(-32))/((-3)/(-30)). Let n = a + z. Solve g = 5*c - 1 + 3, g - c - n = 0 for g. 2 Let x(v) = -11*v + v**2 + 4 + 10 + 1. Let y(i) = i**2 - 18*i - 30. Let j be y(20). Let m be x(j). Solve -l = 3*t - 0*l - 2, m*l = -20 for t. 2 Let n(q) = 2*q**3 + 24*q**2 + 38*q - 15. Let w be n(-10). Solve 3*r - 3*d = 2*d - 13, 4*r + w*d - 41 = 0 for r. 4 Let s = 18 - 14. Suppose -s*j = -j - 6. Solve 2*g - 1 = -b, -3*g - 2 = j*b + 3*b for g. 1 Let y be 6 - (28/5 - 6)*-5. Solve -4*u + 18 = -3*j, 5*u - 5 = -3*j + y for j. -2 Let n(r) be the first derivative of -r**3/3 - 7*r**2/2 + 3*r + 2. Let p be n(-7). Let f = p - -2. Solve -3*s - 2*s + 15 = f*b, 4*b - s = -8 for b. -1 Let m = -6 - -4. Let g(l) be the first derivative of l**3/3 + l**2/2 - 2*l - 20. Let c be g(m). Solve 3*f - 13 = -0*f + 2*o, c = f + o - 1 for f. 3 Suppose 0 = 6*g - 11*g + 10. Suppose g*r + 3*w - 23 = 0, -r + 3*w = 2 + 9. Solve r*p + 5 = 2*p + n, 4*n + 12 = 0 for p. -4 Let k be (0*(-1)/2)/1. Let s(z) = -70*z - 1327. Let a be s(-19). Solve k = 5*w - 10, -c + a*w = w + 6 for c. -2 Let c(y) = 5*y. Let g be 3*(10/(-3) + 3). Let n be c(g). Let x be (-2 - n) + -1 + 2. Solve -4*p = -3*u - x, -3*u + 0 + 1 = p for p. 1 Suppose 3*o = g + 37, g - 15 = -2*g. Solve -5*k - u + 2 + o = 0, 0 = -5*k - 3*u + 18 for k. 3 Suppose -r + 67 = 5*z, 7*z + 2*r + 34 = 9*z. Solve -2*h - 2*w - 4 = w, z = 4*h - 5*w for h. 1 Let b = -285 + 288. Solve -5*n + b*j - 5 = 0, -3*j - 7 - 24 = 4*n for n. -4 Suppose 7*c = -0*c + 2*c. Solve c = -3*p + 3*f, f = -3*p + 2*f + 4 for p. 2 Suppose -20*i + 28 = -16*i. Suppose -o = -15 - i. Suppose 3*z - o = -7. Solve -2*j = -3*j + 2*v + 5, z*j + v = -30 for j. -5 Let j be 76 - (-2 - 4/2). Suppose j = 6*w - w. Solve 6*t - t = n - 21, 0 = n - 4*t - w for n. -4 Suppose -3*m = -65 - 4. Let n = 23 - m. Let a be 1/(n - (-1)/2). Solve -14 = 4*u - a*x, -8*u - 5*x = -3*u - 20 for u. -1 Let l(y) = 16*y + 6. Let x be l(4). Suppose -4*n = 17 + 3, n = -5*d + x. Solve 5*k + 0 - 6 = -3*u, -d = 5*u for k. 3 Let u be (-22)/(-5) + 60/100. Solve h = 2*o + u - 1, 0 = -2*h for o. -2 Suppose -3*f + 20 = -47*b + 46*b, 0 = -4*b + 4. Solve -2*d - 3*p - 7 = f, -4*d - p - 8 = 0 for d. -1 Suppose 389*x + 45 = 398*x. Solve -3*o - 16 = x*p, 2*o = -5*p + 2*p - 9 for p. -5 Suppose -y = 2*j - 12, 5*j - 24 = j + 4*y. Solve -5*k = 3*z + j, -3 = k + 4*z - 12 for k. -3 Let z be -1 + (-60)/((-16)/(-4)). Let b(j) = -j - 11. Let y be b(z). Solve 0*v - q = y*v - 18, 4*v = 4*q + 24 for v. 4 Let g be (-10)/30*0/2. Suppose -21 = -3*y - 5*z, y - 3*z = -g*y - 7. Solve -3*l - m + 4*m = 21, 4*m = -y*l + 4 for l. -4 Suppose 1 = -2*s - 5*n - 12, -49 = -4*s + 5*n. Suppose -f + 2*f - s = 0. Suppose 174*v - 151*v = 322. Solve 0 = 5*l - 2*d + 20, -2*l + f - v = -3*d for l. -4 Suppose 0 + 28 = 4*a. Suppose a*m = 19 + 2. Solve -h = m*g - 0*g - 10, h + 22 = 5*g for g. 4 Let o be (-64)/(-26) + (-120)/260. Solve i = 3*i, -o*i = 4*m + 4 for m. -1 Let n = 534 + -516. Suppose 3*s - 2*s = -4*u + 8, 4*u + 5*s = 8. Solve -28 = 5*x + 3*m, u*m + n = -4*x + 4*m for x. -5 Let v(t) = -4*t**3 - 2*t**2 - 4*t. Let b be v(-2). Suppose -n + b = -4*s, 5*n - 2*s = 41 + 29. Solve -n = -2*w + 3*c - c, 4*w = 3*c + 23 for w. 5 Let r = 1155 + -1151. Solve 29 = -5*t - r*c, -5*c - 5 = -0 for t. -5 Let j(z) = z**2 + 7*z - 3. Let c(b) = 3*b**2 + 21*b - 8. Let y(r) = -6*c(r) + 17*j(r). Let g be y(-6). Solve -9 = g*n - 2*s, n - 4*s - 6 = 1 for n. -5 Let r be 8 + -8 + 8/2. Solve q + 12 = -3*q, -5*q = -r*d - 5 for d. -5 Suppose 4*s - 2*s - 3*x + 2 = 0, -5*x + 10 = -2*s. Solve 35 = -s*u + 5*v, -2*u = u - 4*v + 24 for u. -4 Let u = 81 - 81. Suppose 6*m - 60 + 18 = u. Solve -m = -5*r + h, 0 = 3*r - 4*r + 4*h - 10 for r. 2 Let h(g) = -2*g**3 + 46*g**2 + 3. Let p be h(23). Let a(y) = -2*y - 9. Let v be a(-7). Solve -v*u + p*i = 14, 5*u = -2*i + 3*i - 8 for u. -1 Let f(x) = 2*x - 39. Let u be f(21). Solve u*c - 4*c + 4 = 5*k, -5*k = -c - 6 for k. 1 Let h be ((14 - 15)*(0 - 0))/(-2). Solve 0*q + 2 = q + j, h = 2*q - 5*j - 18 for q. 4 Let j(b) = -b**2 - 28*b - 11. Let n be j(-27). Solve 0 = -2*g - 2*a + 1 + 1, -4*g + n = -2*a for g. 3 Suppose -3*v - 4 = -5*h - 27, 4*v + h = 23. Let p be (4/v)/(6/(-45)). Let b = 8 + p. Solve -4*y - 4*n = -16, b*n - 11 = -3*y - n for y. 5 Let b(a) be the third derivative of a**5/60 - a**4/12 - 2*a**3 - 13*a**2. Let k be b(5). Solve k*f + 2*d + 1 = 0, -4*f = 5*d + 7 - 1 for f. 1 Suppose -2*l - 7*d = -2*d - 45, 0 = l + 2*d - 20. Suppose -5*f - l = 0, 3*f - f = -4*n - 4. Solve n = 3*o + 4*c + 3, -c = -2*o - 1 - 12 for o. -5 Let w(k) = -k**2 - 10. Let l be w(-3). Suppose -3*f - 54 = 4*h, 2*f - f = -2. Let b = h - l. Solve 3*r + 5*p = b, -4*r - 1 = 3*p - 3 for r. -1 Let q(g) = 54*g - 1. Let f be q(-2). Let t = f + 164. Let x = t - 18. Solve 0 = -c + 5*u - 8 - 14, 0 = -4*c - 5*u + x for c. 3 Let y(z) = 21*z - 523. Let s be y(25). Solve 2*v - 3*x - 12 = 5*v, -7 = -s*v + x for v. 1 Let j = -969 - -974. Solve -8*n + 41 = -4*n + 5*w, -j = -5*n + 3*w for n. 4 Let b(p) = 10*p + 144. Let h be b(-13). Solve -t + 6*t + 3*r = h, -3*t - 3*r + 6 = 0 for t. 4 Let h = -96 + 96. Let w be (6/28 - (-20)/70)*h. Solve -i + 2*k - 5 = w, -k + 2*k = i + 3 for i. -1 Let h = -78 + 45. Let v = h - -18. Let x be (-4 + 6)/((-6)/v). Solve -i - x = 4*i, 5*y + 24 = -4*i for y. -4 Suppose -t = -9 + 7. Suppose -w = 1, -5*p - w - t*w = -17. Suppose p*s = 5*j - 170, 2*j - 102 = -j + 3*s. Solve k + 7 = 4*v, 3*k + 2*k = -3*v + j for k. 5 Let v be 104/10 + 12/20. Let l = v + -8. Suppose -3 = -l*u + 3. Solve -4*y + 0*y - 3*h = 10, -4*y + 3*h = -u for y. -1 Let y = 207 - 207. Solve 2*s + j = -1, s = -y*j + j + 4 for s. 1 Suppose 5*m = o - 3, 5*m + 12 = 2*o + 2*o. Solve 3 = u + o*f + 5, -2*f = 4*u - 2 for u. 1 Suppose t - 114 = -2*h - 108, h + 3*t + 2 = 0. Solve 3*a + a - 5*q = -27, 0 = -5*a + h*q - 27 for a. -3 Suppose 4*t - 80 = 184. Suppose 3*d + 2*r = -66, -4*d + d - t = -5*r. Let i = d - -24. Solve -2*u - 2 = 2, 5*f + i*u + 29 = 0 for f. -5 Suppose 4*t - 4*j = 140, 3*t + 3*j - 87 = -0*j. Let y be 9*(15/(-3))/(-1). Let o = y - t. Solve -d = -2*q + o, 0*q + 4*d = -3*q + 3 for q. 5 Let z be 1*8/(-12)*-3. Let v = z - 6. Let u be v/10 - 2/(-5). Solve 5*r + 0*o + 3*o = 9, -3*r + 5*o + 19 = u for r. 3 Suppose 3*s + 0 = 12. Suppose -11 = -s*z + 1. Solve 5*b + 4*q - 4 = 0, z*b - b = q - 1 for b. 0 Let j be 24/20*20/6. Solve -32 = -4*a + 3*s + s, 36 = 5*a - j*s for a. 4 Suppose -u - 5 = -2*u. Suppose 0 = 2*t - u*t + 21. Suppose -2 = -3*r + t. Solve -3*v = b + b + 1, 0 = 3*v + 3*b + r for v. 1 Suppose 0 = 7*m - 9*m + 10. Solve 0 = -b + 2*o + 8, 0 = 4*b + o - m - 0 for b. 2 Suppose 4*i - 13 = p, 7*p = 4*i + 10*p - 25. Solve -5*j = -i*c + 19, -2*c = -2*j + 2*c - 10 for j. -3 Let q be (-3)/9 + 47/(-3). Let f = 25 + q. Let b be (2 + 12/9)*f. Solve -b = 5*h - r, 5*h - 3*r = -0*r - 40 for h. -5 Let
{ "pile_set_name": "DM Mathematics" }
Let y = -74 + 71. Put -2/29, 0.5, y, 0.1 in ascending order. y, -2/29, 0.1, 0.5 Let l be 2/(-7) + (-2)/(-7). Suppose 2*o + 35 = 41. Put o, -5/4, l in increasing order. -5/4, l, o Let m be 0 + 3/(6/10). Suppose -h = -3*s + 9, -h - 14 = -5*s + h. Suppose 0 = 4*k - u - 3*u + 24, 0 = u - s. Sort m, k, 1 in ascending order. k, 1, m Suppose -3*u - u - 3 = j, 3*j = -4*u - 1. Let d be 1/3 + -1*j. Sort d, 0.4, 0.5 in decreasing order. 0.5, 0.4, d Let w = -7.6 - -14.2. Let v = -7 + w. Sort v, 5, -3. -3, v, 5 Let f = -240 + 3122/13. Let o = 26 + -33.8. Let r = 8 + o. Sort r, 0.3, f. f, r, 0.3 Let g be -1 - -5*(-1 + 2). Let n = 6.46 + 0.34. Let z = n - 7. Sort z, 1/3, g. z, 1/3, g Suppose 3*y + 2*k = k - 17, -5*y + 5*k - 15 = 0. Put 0, 3, y in ascending order. y, 0, 3 Let l = -8 - -5. Let s be (1/l)/((-2)/18). Let f(x) = 2*x**3 - 6*x - 7. Let g be f(-1). Sort s, g, 0 in decreasing order. s, 0, g Let u(v) = 5*v - 1. Let h be u(1). Let k be 1*(-1 + (-4)/h). Sort -4, k, -1. -4, k, -1 Let c(x) = -8*x - 67. Let a be c(-9). Sort -16, a, -0.3. -16, -0.3, a Suppose p = 2*p + 4. Suppose -2*o = 5 - 1. Put p, -3, o in decreasing order. o, -3, p Let n = -1 + -1. Sort n, 4, 7. n, 4, 7 Suppose -5*i - 6 = -3*i. Sort 1/8, i, 3. i, 1/8, 3 Let b = 67.8 - 68. Put -1, -0.4, 3, b in ascending order. -1, -0.4, b, 3 Let i = 39.3 - 39. Sort i, -4, 0.5 in descending order. 0.5, i, -4 Let y(n) = n**2 - 10*n + 1. Let b be y(10). Suppose 3*g - g - 2*f - 2 = 0, 0 = -3*g - 3*f + 21. Sort -5, b, g. -5, b, g Let d = 0.13 - 6.63. Let j = -7 - d. Sort j, 0.4, -4 in descending order. 0.4, j, -4 Let i = -30.48 + 30. Put 2/9, -4, i in decreasing order. 2/9, i, -4 Suppose 4 = 2*p - 3*u - 19, 5*u + 45 = 5*p. Let r(n) = 28*n - 2. Let w be r(1). Suppose 0*g - 4 = 2*g, -3*g - w = 4*a. Put -2, p, a in descending order. p, -2, a Let w(z) = 8*z - 58. Let b be w(7). Sort -6, 0, 5, b. -6, b, 0, 5 Suppose 5*c + 17 - 2 = 0. Put 39, c, 0 in increasing order. c, 0, 39 Let z = 6 + -9. Let w be 21/(-14)*4/z. Put w, -4, -5 in decreasing order. w, -4, -5 Let z = -0.46 + 5.46. Sort z, -2, 2/13 in increasing order. -2, 2/13, z Let n be -2*(9/5 + (-4)/(-20)). Put 4, 3, -3, n in ascending order. n, -3, 3, 4 Suppose -11*x = -6*x + 2*l + 21, -4*l - 15 = x. Sort 0.5, -0.5, x, 4/3 in decreasing order. 4/3, 0.5, -0.5, x Suppose -8 + 0 = -2*x. Suppose 1 = 3*j - 4*y - 2, x*j + 5*y = 35. Suppose -12 = -2*s + j*o, -5 = s + 3*o - 0. Put -5/3, -1, s in decreasing order. s, -1, -5/3 Let u = 3.69055 - -0.05245. Let q = u - 0.043. Let t = 0.3 + q. Sort t, -0.5, -3 in increasing order. -3, -0.5, t Let j(w) = w**3 - 9*w**2 + 10*w - 11. Let m be j(8). Suppose 20 = 4*z + z. Sort -5, z, m in descending order. m, z, -5 Let s = 0 + 3. Suppose 4*r + 4*v + 20 = 0, 4*r + 2*v - 5 = 5*r. Let d = r - -3. Sort s, -1/3, d. d, -1/3, s Let b = 1 + 3. Let i = -10 - -7. Sort 1, b, i in decreasing order. b, 1, i Let y be (-26)/4 + 15/10. Sort -1, 2, y in descending order. 2, -1, y Suppose 0 = 3*n - 7*n + 12. Let v(c) = c**3 + 4*c**2 + c + 2. Let p be v(-4). Suppose -4*h - 39 + 3 = 4*q, q - 1 = h. Sort p, n, q in ascending order. q, p, n Let a be (-92)/9 - 4/(-18). Let c = 8 + a. Put c, 1, -3 in descending order. 1, c, -3 Let h(b) = -2*b**3 + 3*b**2. Let f be h(2). Let q be 2*(-3)/6 - -4. Suppose -d = d + 10. Put d, q, f in ascending order. d, f, q Let q(g) = g**3 + 7*g**2 + 9*g + 21. Let z be q(-6). Sort -1, -21, z in increasing order. -21, -1, z Suppose 0*q = 2*q. Let n = q + -1. Put n, 5, 4 in ascending order. n, 4, 5 Let h(w) = w**2 - 10*w - 8. Let t be h(10). Let g(s) = -s**3 - 9*s**2 - 8*s - 3. Let c be g(t). Put 1/4, c, -0.2 in descending order. 1/4, -0.2, c Let c(b) = -b**3 - 2*b**2 + 2*b - 7. Let z be c(-3). Put -1, z, -3 in increasing order. z, -3, -1 Let l = 10 + 4. Let f = l + -13.1. Let c = f + 0.1. Put 5, c, 2/3 in descending order. 5, c, 2/3 Suppose -12 = j + 3*j + 4*y, 3*j - 2*y + 9 = 0. Let a(h) = 2*h**2 + 5*h + 2. Let v be a(j). Sort 1, -5, v in increasing order. -5, 1, v Let w = 4.37 + -0.37. Sort 5/2, w, 5 in decreasing order. 5, w, 5/2 Let m = 8 + -4. Sort m, 1, -5. -5, 1, m Let i(r) = r**2 + 4*r + 3. Suppose 3*h + 11 = -1. Let k be i(h). Sort -2, k, 2. -2, 2, k Let c = 5 + 2. Let p = -5 + c. Sort p, 6, -0.4 in increasing order. -0.4, p, 6 Suppose -2*n - 27 = 5*l + 6, 11 = l - 4*n. Let s = 19 + -10. Let x be (-4)/(-18) + (-2)/s. Sort l, 5, x in decreasing order. 5, x, l Let w(j) = -4*j - 2. Let m be w(-3). Suppose 2*h = -3*h + m. Suppose 5*i = 4*f + 17, 8*f - 3*f = -2*i - 13. Put 3, h, i in increasing order. i, h, 3 Let f be (-2)/8 - (315/(-28))/9. Let i(l) = 3*l + 1. Let n be i(-2). Let j be 23/5 + (-2)/n. Put 2, f, j in decreasing order. j, 2, f Let x(v) = v**3 + 8*v**2 + 6*v - 4. Let h be x(-7). Let n be (-1 + 0)/((-1)/(-4)). Let t = n + h. Put t, -5, 1 in increasing order. -5, t, 1 Let y(j) = 3*j**2 - j**3 + 4*j**2 + 1 + j + j. Let z be y(7). Suppose -b - 4*b = -z. Put 2, -4, b in decreasing order. b, 2, -4 Let j be 196/(-310) + (-21)/(-35). Let g = 2517/8 + -233561/744. Let z = j + g. Sort z, 4, 0. 0, z, 4 Suppose -2*r = 14 - 6. Sort -3, 3, r in descending order. 3, -3, r Let y = -3 - -7. Let t = 2 - -7. Let c = t + -10. Sort c, -3, y in descending order. y, c, -3 Let x = 975930/7 - 139676. Let b = -257 - x. Put b, 3, 2/19 in ascending order. 2/19, b, 3 Let i = -44 - -47. Put 5, 2, -4, i in descending order. 5, i, 2, -4 Suppose 0*y - 4*y - 6 = -k, 0 = 3*k - 2*y + 2. Put -0.02, k, -1, -3/4 in decreasing order. -0.02, -3/4, -1, k Let r be (-7 - (-2)/1)*-1. Let t(n) = -8*n - 18. Let m be t(-2). Sort m, 2, r. m, 2, r Let b(k) = -k + 4. Let d be b(0). Let l = -94 - -94. Put d, l, -1 in descending order. d, l, -1 Suppose -3 = u - 1. Suppose 1 = -4*y + 5*j - 2, -3*y + 4*j - 1 = 0. Let b be -1*(3 - 1) - y. Put u, 0, b in ascending order. u, 0, b Let o = -22 - -24. Suppose 4*b = z - 3, 27 = 5*z - 4*b - 4. Suppose -5*n = z - 2. Put -2, n, o in descending order. o, n, -2 Let a be (-4)/(1 + 2/(-4)). Let s be ((-10)/8)/((-2)/a). Put 5, s, 2 in increasing order. s, 2, 5 Let i(d) = d**3 + 6*d**2 + 3*d - 5. Let q be i(-5). Suppose -w + 17 = 3*w + 5*f, 23 = -4*w + 3*f. Put w, -6, q in descending order. q, w, -6 Suppose 9*u - 11*u = 6. Let j(t) = -t**2 + 6*t + 6. Let x be j(7). Put 4, x, u in descending order. 4, x, u Let s be (-3 - 2/18) + 3. Put s, 5, 0 in descending order. 5, 0, s Let j = -6 - -10. Let l(p) = p**3 + 4*p**2 + p + 4. Let h be l(-4). Let k(s) = -s**2 - 7*s + 2. Let t be k(-7). Sort h, j, t. h, t, j Let i = 1.1 - -2.9. Let r = 16.5 - 12. Let g = i - r. Put g, 5/2, -1 in increasing order. -1, g, 5/2 Let k = -20 - -18. Let w = k - -4. Sort -4/9, w, -4 in ascending order. -4, -4/9, w Let k = 16 - 37. Let d = -20.8 - k. Put d, 1/4, 1 in increasing order. d, 1/4, 1 Let w = 0.3 - -12.7. Let x = 18 - w. Let c = 2 - 0. Put c, 3, x in ascending order. c, 3, x Let h = 21.1 + -21. Let f = 0.6 - 0. Let d = f + 3.4. Put 1/2, h, d in increasing order. h, 1/2, d Let r = -8 + 3. Let y = 10 + r. Put -3, -1/10, y in decreasing order. y, -1/10, -3 Let o = -18 - -23. Sort o, 1, 4 in descending order. o, 4, 1 Let g = -8383/33 + 254. Put g, 2/3, 4 in descending order. 4, 2/3, g Suppose 2*g + 8 = 4*q, -5*g = -q + 3*q + 20. Sort q, 4, 1. q, 1, 4 Suppose 0 = k - 5*k + 16. Let c be (-2)/6*-3*1. Suppose -3*x = -c - 8. Put 2, x, k in ascending order. 2, x, k Let x = 0.3 + -0.3. Let m = x + -0.3. Let u = m - -0.3. Sort u, -5, 0.3. -5, u, 0.3 Suppose -2*c - 37 = -5*y - c, -5*y - 4*c + 27 = 0. Suppose -2*d - y = 1. Suppose 0 = -5*w + 22 - 2, -w + 1 = -n. Sort d, -2/3, n. d, -2/3, n Let z = -8 + 11. Sort z, 1, -1 in ascending order. -1, 1, z Let l be (-1 - -2)/((-3)/(-1) - 2). Sort -6, 4, l in ascending order. -6, l, 4 Let t = 1 + -3. Let l be (-10)/(-6) + 1 + t. Sort -3/7, -0.2, l. -3/7, -0.2, l Let l = -38 - -33. Sort 3, l, 1. l, 1, 3 Suppose 2*c - 2 = 8. Let k be 94/(-18) + (-4)/(-18). Let p be 0 + -1*2/(-9). Put p, c, k in ascending order. k, p, c Let o = -17 - -20. Sort -4/7, 3/8, o in ascending order. -4/7, 3/8, o Let g(j) = j + 10. Let w be g(-5). Suppose 0 = -w*b + 27 + 8. Suppose 2*l = 3*a - b, 3*l - 2*a + 12 + 1 = 0. Put l, 3, -3 in descending order. 3, -3, l Let q = -2 + 2. Let o = q + 0. Let h = 41 - 325/8. Sort h, o, -4 in increasing or
{ "pile_set_name": "DM Mathematics" }
losest to 1 in 1/10, -0.11836, 1/5, 2/15? 1/5 Which is the closest to -2/7? (a) 125/6208 (b) 19 (c) -0.5 c Which is the closest to -29052? (a) 1/2 (b) 3/8 (c) 7 (d) -2/13 d Which is the closest to -1? (a) 16.23 (b) -4 (c) 195 (d) -6 b What is the closest to -1.7 in -0.3, 0.0834, -1, 0.4, -132? -1 Which is the closest to 5/13? (a) 7/2 (b) -4/7 (c) 1 (d) 101 (e) 36 c What is the closest to 610 in -0.9, 0.19, 1/2, -11/6? 1/2 Which is the nearest to -3? (a) -233 (b) 1/2 (c) -0.2 (d) -327 (e) -19 (f) -1 f What is the closest to 1/6 in 0.4, -3, 155, 2, 3? 0.4 What is the closest to 127/3 in -0.4, 1.7, -1, -3, -0.5? 1.7 Which is the nearest to -0.183? (a) -1/21 (b) 0.5 (c) -0.02 (d) 0.08 a What is the nearest to 0.1 in -0.015, -2, 63, -120? -0.015 Which is the nearest to 3? (a) 5 (b) -2/76949 (c) -2/7 (d) 3 (e) -4 (f) -4/3 d Which is the nearest to -31/3? (a) -17/785 (b) -0.1 (c) 5 b Which is the nearest to -1? (a) -1/4 (b) 7 (c) 21 (d) -61 a What is the nearest to 3444 in 8.6, -3, 3, 4? 8.6 Which is the nearest to -127? (a) 0 (b) 8 (c) 1 (d) 5 (e) 2/11 (f) -54 f Which is the nearest to 2/183? (a) 406 (b) 6 (c) 0.3 c Which is the closest to 64361? (a) 6 (b) -0.4 (c) -5 a Which is the nearest to -3? (a) -6/11 (b) 16 (c) -1/2 (d) 2/17 (e) 2/33 (f) -7 a Which is the nearest to -7.7? (a) -5/2 (b) -0.3 (c) -2215 a Which is the nearest to 7562? (a) 83 (b) 0.3 (c) -2/5 a Which is the closest to 3/2? (a) 0.2 (b) -0.4 (c) 6547 (d) -4 (e) 2 e What is the closest to 1 in -1/4, -14, 1/9, -144439? 1/9 Which is the closest to -4.37? (a) -0.2 (b) 34 (c) -0.11 (d) 5/3 a What is the closest to 8 in 5, 967, -4/5, 38? 5 Which is the closest to 1? (a) 13008 (b) -676 (c) -1/6 c What is the closest to 0.1 in 0.3, 7, -99, 1, 0.008, -1/9? 0.008 Which is the closest to 11? (a) 16/5 (b) -3/5 (c) -1 (d) 1084 (e) 0.4 (f) 7 f What is the closest to 0.0731 in -2/11, -4, 424? -2/11 Which is the nearest to 0.04? (a) -0.9 (b) -144/23 (c) 2/13 c What is the closest to -1/8 in 0.194, 1, -97/2, -3? 0.194 Which is the closest to 3/7? (a) -35 (b) -1/9 (c) 94/7 (d) -5 (e) 1 (f) -4 b What is the closest to 3 in 4, 136.6, -4606? 4 What is the nearest to 1/29 in 2, 2/21, 0.3, -4, 0.0376? 0.0376 What is the nearest to 0.91 in 0.5, 1/15, -2/3, 2/7, 2, -1? 0.5 Which is the closest to -0.02? (a) -0.2 (b) 0.5 (c) 1 (d) -3.31 (e) -0.0728 e What is the closest to 1/360 in -2, 4/5, -109/621, 5? -109/621 What is the closest to 0 in 2/105, -2.3, 17, 2/123, -6? 2/123 What is the closest to -1 in 3/4, 1.50816, -2/13, 6? -2/13 What is the closest to -0.7 in -5, -29, -1034, -0.1? -0.1 Which is the nearest to 20? (a) -14104/7 (b) 5 (c) -1 b Which is the closest to 5.163? (a) 4 (b) 0.1 (c) 6/5 a Which is the nearest to 20? (a) -2 (b) -3 (c) 11.7792 c Which is the closest to -8078? (a) 3 (b) 2/19 (c) -8 (d) -4 (e) 0 c What is the closest to 9/4 in -21, -13, -0.1, 0.2, -0.5? 0.2 What is the nearest to -61 in -102, 2, -18, 4, -1? -102 What is the nearest to -4 in -87578, 51, 0? 0 Which is the closest to -3? (a) -2 (b) 0.1 (c) 609/44 (d) 0 (e) 3 (f) 2 a Which is the closest to -2/3? (a) 0.2 (b) 16 (c) 7 (d) 1.9 a Which is the closest to 511/2? (a) -4 (b) -0.4 (c) -3/2 (d) -2/17 (e) 1/2 e What is the nearest to 2/3 in 0.16, 207, -4, -29/5, -7? 0.16 What is the closest to 2.73 in -112, -8, 4, -0.2, 4/5? 4 What is the nearest to 50 in -1/2944, -0.3, 0.3? 0.3 What is the nearest to -4/79 in -5, 2, 257, -39? 2 Which is the closest to 847? (a) 0 (b) -3/5 (c) -2 (d) 2/15 (e) -29 (f) 5 f What is the closest to -9527 in -3, 1/3, -1470, 5? -1470 Which is the nearest to -0.19? (a) 5/3 (b) 2/11 (c) 0.1 (d) 0.5 (e) 0.3 (f) -11/7 c Which is the closest to 3? (a) -31 (b) -1/3 (c) 1/13 c Which is the nearest to 28? (a) -0.1 (b) 1/10 (c) -1.62 (d) 17 d Which is the closest to 8? (a) -2 (b) -2/79 (c) -0.4 b What is the closest to 2/5 in 1/4, -0.2, 0.003, -1939, -1/3, -2/3? 1/4 Which is the closest to 1/4? (a) -6/7 (b) -90 (c) 25.9 a What is the nearest to -1/3 in -0.3, -20.03, 1, -298, -0.2, -1? -0.3 Which is the nearest to 0.1? (a) -0.1 (b) -6 (c) -117713 a What is the closest to 6/49 in 1/4, 2/7, -2/5, -0.1, 2? 1/4 Which is the nearest to 0.059? (a) 1 (b) -42/5 (c) -127.3 a Which is the closest to 52/5? (a) 5 (b) 2/375 (c) 0.31 (d) -3 a What is the closest to 0.1 in 71/5, 4, 18, 3.4588? 3.4588 What is the nearest to -2/13 in -1170785, 0.3, 8, 4? 0.3 What is the closest to 131/2 in -2/821, 3, 13? 13 Which is the nearest to -48163.03? (a) 0.1 (b) 0.07 (c) 4 b Which is the nearest to -36? (a) -1/6 (b) -2/3 (c) 4/7 (d) 0.2 (e) 1/4 b Which is the closest to 0.5? (a) 0.2 (b) -2146/7 (c) 31/152 c Which is the nearest to -2? (a) 0.2 (b) -0.5 (c) 131/6 (d) 1/2 (e) 2/301 b What is the closest to 0.1 in -5, -7284.68, 0.1, -2/7, 2? 0.1 What is the closest to -4/5 in 366.4, -0.5, 1/5, 166/5? -0.5 What is the closest to 0.86 in -1.9, -1, -11, 2, 5/2? 2 What is the nearest to -6/13 in -5, -0.0428, 1, 42? -0.0428 Which is the closest to -49? (a) 43 (b) -3 (c) 3/65 (d) -4 d Which is the closest to -2? (a) -112/11 (b) -10 (c) -5 (d) -0.1 (e) -9/8 e Which is the nearest to 4? (a) 3 (b) 0.1 (c) 9/31 (d) 1 a Which is the closest to -183? (a) 19 (b) 12 (c) -5 (d) 2/5 (e) 0 c What is the closest to -0.1 in 4.275, -0.2, 3735.5? -0.2 Which is the nearest to 0.2? (a) -0.42 (b) 0.101 (c) -2/361 (d) 0.1 (e) 5 b What is the nearest to 1294 in 9, -16, 1/10? 9 What is the closest to -1 in 1, -0.15, 4, 107? -0.15 What is the nearest to 2 in -3, 2, -9159/5, -4? 2 Which is the closest to -7? (a) -3.4 (b) 114 (c) 0 (d) 0.2 (e) -0.3 (f) -1.1 a What is the closest to 27 in -1/4, 75137, -14? -1/4 What is the closest to -1/6 in 1, 13060, -4, 69? 1 What is the nearest to 56 in 19, -1/3, 0.4, 1, 231? 19 Which is the nearest to 2/5? (a) -0.03 (b) -5.8 (c) 0 (d) 1464 c What is the closest to -2/7 in -1.02, 58, -0.3, 2, -0.34, -3? -0.3 What is the closest to -9 in 0, -4, -6, 3? -6 What is the nearest to -5/18 in -958, 0.206, -5? 0.206 Which is the nearest to 5? (a) 0.5 (b) -0.4 (c) -33/7 (d) 2/13 (e) -4.3 a Which is the closest to 0.1? (a) 53 (b) 2/3 (c) 2/7 (d) 0 (e) -43 (f) 0.82 d What is the nearest to -2/7 in -0.08, 34/9, -0.5, -12, 12? -0.08 Which is the closest to 0.8? (a) -5/6 (b) 1 (c) 7 (d) -5.2 (e) 1/4 b Which is the closest to -2? (a) -1 (b) 781613 (c) -10 a What is the nearest to 0 in -3/5, -0.0629, 2/3, -0.03? -0.03 Which is the closest to 4? (a) 0.6 (b) -13/4 (c) 7 (d) -10 (e) -5 c Which is the closest to 0? (a) -48 (b) 10 (c) 0.15 (d) -5 (e) 0.4 (f) -0.5 c What is the nearest to 1 in -3.686, 214, -6? -3.686 What is the nearest to 107 in 83, -2/5, 209? 83 What is the nearest to 351/271 in -5, 4/11, 0.1? 4/11 Which is the closest to 1008? (a) -2/209 (b) -57 (c) -4 a Which is the nearest to 136? (a) 1 (b) -5 (c) -193 (d) -56 a What is the nearest to -0.1 in 3/4, 44, -2/179? -2/179 Which is the nearest to 0.1? (a) -4 (b) -2 (c) -113 (d) -1 (e) 34 d Which is the closest to 0.1? (a) -0.3 (b) -88.1 (c) 2/49 (d) -2.3 (e) -5 c What is the nearest to 1 in -11, -16, -42/2677? -42/2677 Which is the nearest to -1/21? (a) -1/3 (b) 1/2 (c) 15 (d) -4 (e) 49 a Which is the closest to 17? (a) 765/206 (b) 2 (c) -1/3 (d) 3 a What is the nearest to 2 in 0.4, -3/1555, 507? 0.4 What is the nearest to -4.39 in 3, 2, 8.91? 2 Which is the nearest to 144? (a) 4/7 (b) 2/5 (c) 5 (d) 4 c What is the nearest to -2/5 in -25, 1/5, -27, -2/3? -2/3 Which is the nearest to -51? (a) 1 (b) 2/91 (c) -7/5 c What is the closest to -1 in -3/7, 4/35, -85/11, -4? -3/7 Which is the closest to -6? (a) 92 (b) -6.2 (c) -0.3 (d) 10.8 (e) -2 b What is the nearest to -0.2 in -6, 10, -0.2, -3, 17343, 1/16? -0.2 Which is the closest to -1? (a) 0.4 (b) 710 (c) -0.2 (d) -0.05 c What is the closest to -118 in 254, -0.03, -2/33, 3/2? -2/33 What is the nearest to 1/5 in 1/1858, -2/7, 1, 2/3, -0.4? 1/1858 Which is the closest to 38? (a) 0 (b) -0.3 (c) -5 (d) 4 (e) 17675.6 d Which is the closest to -0.22? (a) -647/9 (b) -1/7 (
{ "pile_set_name": "DM Mathematics" }
/3 in -0.4, n, m? -0.4 Let m be ((-4)/10)/((-11)/(-55)). Suppose 4*f = -f - 10. Let d be (f/12*2)/1. Which is the nearest to m? (a) d (b) 0.2 (c) 4 a Let s = -1449.2 - -1449. Which is the closest to -1/4? (a) 0.01 (b) 7 (c) s c Let c = 60.8 - 63. Let j = c + 1.9. What is the closest to -1 in j, -5, 1? j Let m = 6.44 + -6.84. What is the nearest to 1/2 in -1/4, m, -3? -1/4 Let h = -1915 - -1916. Which is the nearest to -1? (a) 1/10 (b) h (c) -0.1 (d) -98 c Let z = -0.6 + -2.4. Let v = 3.3 + z. Let n = -109/75 + 28/25. Which is the nearest to v? (a) 2/9 (b) n (c) 1 a Let a = -267 + 2139/8. Let g = 2 + -5. Let r be (-2 - -1)/(g/(-15)). What is the nearest to 0 in a, 2, r? a Let p = -14 + 15. Let l = -59 + 296/5. Let k be (-4)/6 - (-3 - 56/(-21)). What is the nearest to p in k, l, 3/2? 3/2 Let p = 908.1 + -948. Let z = p - -40. Let l = -0.63 - -0.13. Which is the closest to 0.2? (a) z (b) -1 (c) l a Let s be -2 + -2 - 3*(-234)/189. What is the nearest to 0 in -5, 0.5, -34, s? s Let i = 8 - 6. Let r = -4 + i. Let g be 8/5*21/(-84). What is the closest to r in -2, -4, g? -2 Let a = 7.9305 + 0.0695. What is the nearest to 0 in a, 1, -4, -2? 1 Let h = -255 - -254.4. What is the nearest to 1 in h, 4, 3/2? 3/2 Let m = -4.70884 + -0.29116. Let s = 5/8 - -7/40. Which is the closest to 0.2? (a) m (b) -0.2 (c) s b Let y = 3.2 + 0.8. Let z be (-50)/(-650) + (-33)/91. Which is the closest to y? (a) -3 (b) 2/11 (c) z b Let f = 172 + -24. Which is the nearest to -1? (a) 0.1 (b) -3 (c) f a Let f be (14/112*28)/(-10 - -17). Let c = 0 + -0.1. Let s = 0 - -0.01. What is the closest to -2/5 in s, c, f? c Suppose 5*s - 4*k + 47 - 141 = 0, 3*k + 57 = 3*s. Let r be 6/4*168/s. Let f = r - 13. Which is the nearest to f? (a) 2/7 (b) 4 (c) 0.2 a Let n = -393 - -390. Which is the closest to 1? (a) n (b) 2/11 (c) -56 b Let l = 634 - 634.1. Let w be (-1 + 2)*(-3 - -1). What is the nearest to w in -5, 2/7, l? l Let n = -3 - -3. Let u = -101 - -65. Let h be 2/6*u/(-48). What is the closest to n in 1, h, -4? h Let t = -0.337 + -2.663. Let w(p) = -2*p**3 + 9*p**2 - 6*p + 8. Let a be w(4). What is the nearest to t in -4, -0.5, a? -4 Let w = 3 + -2.6. Let r = 1458 + -1453. Which is the nearest to 2/3? (a) 4 (b) w (c) r b Let t = -156 - -87. Let g = t + 68.5. Let y = 16/9 - 91/36. What is the nearest to -0.1 in 1/4, y, g? 1/4 Let k = -2 - 3. Let y be 5 - 8/(320/170). What is the closest to -2 in y, -0.4, k? -0.4 Let n = 1 - -1. Suppose -11 - n = -3*h + 2*s, -3*s - 17 = -4*h. Suppose -3*w + 9 = 3*j, w - 7 = h*j - 28. Which is the closest to w? (a) 4 (b) -1/7 (c) -1 c Suppose -7 = 65*d - 58*d. Which is the closest to 0? (a) 0.5 (b) -0.04 (c) d b Let i(z) = z - 1. Let n be i(1). Let d(h) be the second derivative of h**3/6 + h**2/2 - 9*h. Let b be d(-5). What is the nearest to 4 in n, b, -1/10? n Let j = -17 - -18.26. Let k = -6.26 + j. Let w = 3.2 - 0.2. Which is the closest to 0.1? (a) w (b) k (c) 1 c Let p be (0 + 6/14)/((-56)/196). Let n = 5 + -4.8. Which is the closest to -0.1? (a) p (b) 1 (c) n c Let o = 0.8 + -0.3. Let y = -52.026 + 0.026. Let i = 54 + y. What is the nearest to 1/2 in i, o, -0.2? o Let i = -3.2 - 0.8. Let p = -0.488 + 1.488. Which is the nearest to p? (a) i (b) 8 (c) 2/13 c Suppose -1 + 6 = 5*z - 5*d, 11 = z + d. Let n be 1/(-3 + 16/z). Which is the closest to 0.4? (a) -2/9 (b) 2 (c) n a Let q = -4.38 - 0.02. Let y = q - -4. Which is the closest to -1? (a) y (b) 2/3 (c) 0 a Let y = -87 - -259/3. Which is the closest to y? (a) 2/9 (b) 3/7 (c) 6 a Suppose 0 = -17*f + 2451 + 762. Let v = 191 - f. Let u be (-38)/(-20) - (-4)/(-10). Which is the nearest to -1? (a) 4 (b) v (c) u c Let b = -9 + 5. Let r(c) be the first derivative of c**2/2 + c + 11. Let n be r(3). What is the nearest to n in 1/3, b, -0.5? 1/3 Let j be 2/5 - (-10)/(600/(-9)). Which is the nearest to -1? (a) j (b) -4/5 (c) 0 b Let g(c) = c**2 + 10*c - 22. Let d be g(-11). Let l = 1 - 2. What is the closest to 1/6 in d, -1/2, l? -1/2 Let m = -83 + 82.982. Let f = 0.182 - m. Which is the closest to -1/3? (a) 5 (b) -2/19 (c) f b Let y = 3 - 0. Suppose -y*z = -0*z + 120. Let f = 241/6 + z. Which is the closest to 2/3? (a) -1 (b) 0.3 (c) f b Suppose 0*f + 40 = 8*f. What is the nearest to 0 in f, 3, -4? 3 Let z = -2/739 + 1496/6651. Which is the nearest to -2? (a) 0.1 (b) z (c) -2/9 c Let z = -1377 + 1376. Which is the closest to -2/5? (a) z (b) 1/2 (c) -1/4 c Let b = -2.0256 + 0.0256. What is the nearest to 2/7 in -0.1, -3, 4, b? -0.1 Let s = -31 + 34. Suppose -4 = -5*d + 3*w - 1, -4*d = s*w + 3. Which is the closest to d? (a) 4/5 (b) -0.04 (c) 0.1 b Let f = -1526 + 1590. What is the closest to f in -2/9, -5, 1/2, 1? 1 Let f = 28 + -17. Let j = 15 - f. Let u = -11 + 11. Which is the nearest to -1/4? (a) u (b) j (c) -5 a Let t = 0.1 + -2.1. Let k = 22 + -17. Let u be 2/12 + 50/420. What is the closest to k in -0.2, t, u? u Suppose g = -4*g - 10. Let v = 266 - 265. What is the nearest to g in v, 4, 5? v Let k = 355 + -355.3. Which is the closest to -2/3? (a) -1/3 (b) k (c) 3 (d) 5 a Let f = -3.2134 + 0.2134. Which is the closest to f? (a) 0.1 (b) 0.2 (c) -3 (d) 4 c Let o = -540 + 543. Which is the nearest to 1/3? (a) -0.03 (b) -1/8 (c) o a Let o = -0.4 + 0.3. Let m = -0.21 - 1.19. Let k = 1.3 + m. What is the nearest to o in k, -1/6, 4? k Let k = 0.713 + -1.013. Which is the closest to 1? (a) -3 (b) k (c) -0.5 (d) 3/7 d Let u = -0.047 + -1.953. Suppose 0 = p - 1. Which is the nearest to u? (a) 5 (b) p (c) -3 c Let u = 0.03 - -2.77. Let b = -0.2 - u. What is the closest to 2 in b, 0.2, -0.5? 0.2 Let a = -26.9 - 3.1. Let v = 30.1 + a. What is the closest to -1/2 in 3, v, -3/5? -3/5 Let r = -0.04 - 1.96. Let v = -710 + 715. Which is the nearest to -2/5? (a) v (b) 13 (c) r c Let p = 9 + -12. Let z = 2210.9 - 2211. Let m be (8/(-54))/(6/9). What is the nearest to z in 1, p, m? m Let m = -5.92 - -6. Let q = 0.71 - 0.33. Let t = q - m. What is the nearest to t in -1/2, -2/7, 0.3? 0.3 Let t be 2*(-2)/(-84)*3. Let h = -12 - -5. Which is the nearest to 0.1? (a) 1 (b) h (c) t c Let t = 2651 + -2651. Which is the closest to t? (a) -1 (b) -25 (c) 5 a Let y = -5.3 - -5. Suppose -65 + 19 = 18*p - 28. What is the closest to p in y, -6, 3? y Let l = -325 - -324.99. What is the nearest to 2/7 in 3, l, -2/9? l Suppose 0*v + 6 = 4*n - v, 10 = 4*n - 3*v. Let r = -1781 - -1778. Which is the closest to n? (a) 4 (b) 6 (c) r a Let b = 200 - 200.3. Let m = -0.4 - 0. What is the closest to 2/7 in b, m, 0.5? 0.5 Let i = -0.672 + 0.572. Let f = 2.4 + -0.4. What is the nearest to i in 0, f, 0.3? 0 Let n = 4.951 - 0.051. Let r = -5 + n. What is the nearest to 0.2 in 0.4, r, 1/6? 1/6 Let f = 227 - 227.2. Which is the nearest to 0? (a) -1.5 (b) f (c) 4 b Let i = 7 + -6.5. Let q = 2361 + -11766/5. Let m = q - 283/35. What is the nearest to m in 1, i, -0.1? -0.1 Suppose -4*u - 6 = 2*u. Let o be (-210)/90 + (-2)/u. Which is the nearest to o? (a) -1 (b) -0.3 (c) -13 b Let l = 69.7 - 67. Let h = -1.7 + l. Let k be ((-3)/2)/(6/(-8)). What is the closest to 0.1 in k, -3/7, h? -3/7 Let j = 0.143 + -0.14. Let t = -24.003 + j. Let g = t - -26. What is the closest to 0.1 in 0, g, -5? 0 Let y = -1 + -1. Let t = -224 - -221. Suppose 4*x = 2*x. Which is the closest to x? (a) t (b) y (c) 3/4 c Let p = -208.1 - -222. Let t = p - -0.1. Let v = 13.6 - t. Which is the closest to -1/3? (a) -1 (b) 5 (c) v c Suppose -5 + 3 = -3*x + o, -8 = -4*x + 4*o. Let g(y) = -4*y**3. Let n be g(-1). Suppose -j - n*j + 15 = x. Which is the nearest to -2? (a) j (b) 0.2 (c) 2/19 c Suppose 14*f - 291 + 291 = 0. Let q(u) = -u**2 - u - 1. Let x be q(0). Let y be (1 - (4 + x)) + f. What is the closest to y in 4/3, -2/11, 0.3? -2/11 Let h = 2880/11 + -262. Let o = -85 + 97.6. Let w = o + -12.5. Which is the nearest to w? (a) -2/15 (b) h (c) -0.2 a Let i = 163.2 - 163.1. Let f = 1 + -1.2. Let b = -0.94 - 0.06. What is the closest to 0.4 in f, b, i? i Let p = 226 - 680/3. What is the nearest to -8 in 2, 0, p? p Let n = -102 + 101.92. What is the closest to -2 in n, 3, 0.4? n Let o be ((-21)/(-35))/(-1 - (-3)/30). What is the closest to -1 in 2/9, o, 4/5, 4
{ "pile_set_name": "DM Mathematics" }
2? 91*o**3 - o**2 - 11*o + 12 What is the i'th term of -915, -903, -877, -831, -759, -655? i**3 + i**2 + 2*i - 919 What is the l'th term of -48, -109, -182, -267, -364? -6*l**2 - 43*l + 1 What is the i'th term of 2, 33, 122, 299, 594, 1037? 5*i**3 - i**2 - i - 1 What is the b'th term of 41, 14, -15, -34, -31, 6, 89? 2*b**3 - 13*b**2 - 2*b + 54 What is the q'th term of -165, -180, -203, -234? -4*q**2 - 3*q - 158 What is the f'th term of 895, 891, 887, 883, 879? -4*f + 899 What is the z'th term of 14571, 14574, 14579, 14586? z**2 + 14570 What is the y'th term of 104, 99, 90, 77, 60, 39? -2*y**2 + y + 105 What is the z'th term of 83, 732, 2497, 5936, 11607, 20068? 93*z**3 - 2*z - 8 What is the p'th term of 1220, 1216, 1212, 1208? -4*p + 1224 What is the y'th term of -76, -306, -690, -1228? -77*y**2 + y What is the t'th term of -320, -588, -866, -1160, -1476, -1820, -2198? -t**3 + t**2 - 264*t - 56 What is the x'th term of 52, 44, 36, 28? -8*x + 60 What is the v'th term of -875, -1751, -2629, -3509? -v**2 - 873*v - 1 What is the f'th term of -1141, -2270, -3397, -4522, -5645? f**2 - 1132*f - 10 What is the t'th term of -31, -42, -47, -46? 3*t**2 - 20*t - 14 What is the a'th term of 69, 98, 43, -138, -487, -1046, -1857, -2962? -7*a**3 + 78*a - 2 What is the x'th term of -137, -137, -127, -101, -53, 23, 133? x**3 - x**2 - 4*x - 133 What is the x'th term of -358, -357, -356? x - 359 What is the w'th term of -4664, -4663, -4662, -4661? w - 4665 What is the v'th term of 56, 116, 178, 242, 308? v**2 + 57*v - 2 What is the d'th term of 14472, 14470, 14468, 14466, 14464, 14462? -2*d + 14474 What is the b'th term of 8, 37, 120, 287, 568, 993? 5*b**3 - 3*b**2 + 3*b + 3 What is the p'th term of 444, 654, 866, 1080, 1296? p**2 + 207*p + 236 What is the v'th term of 60333, 60334, 60335, 60336, 60337? v + 60332 What is the p'th term of 36, 39, 54, 87, 144, 231? p**3 - 4*p + 39 What is the h'th term of -3493, -6988, -10483? -3495*h + 2 What is the m'th term of 994, 988, 982, 976, 970? -6*m + 1000 What is the f'th term of -184, -180, -178, -178? -f**2 + 7*f - 190 What is the m'th term of -99, -109, -105, -81, -31, 51, 171, 335? m**3 + m**2 - 20*m - 81 What is the o'th term of 2891, 2892, 2893? o + 2890 What is the l'th term of -695, -1385, -2073, -2759, -3443? l**2 - 693*l - 3 What is the w'th term of -43, -120, -247, -424? -25*w**2 - 2*w - 16 What is the l'th term of -44, -52, -64, -80, -100? -2*l**2 - 2*l - 40 What is the l'th term of -40, -139, -304, -535, -832, -1195? -33*l**2 - 7 What is the u'th term of -118, -123, -128, -133, -138, -143? -5*u - 113 What is the g'th term of -230, -242, -244, -230, -194, -130, -32, 106? g**3 - g**2 - 16*g - 214 What is the a'th term of 0, -12, -16, -6, 24? a**3 - 2*a**2 - 13*a + 14 What is the c'th term of -72, -245, -518, -879, -1316, -1817, -2370? 2*c**3 - 62*c**2 - c - 11 What is the d'th term of 11, 12, 11, 14, 27, 56, 107? d**3 - 7*d**2 + 15*d + 2 What is the m'th term of -38, -33, -26, -17, -6? m**2 + 2*m - 41 What is the s'th term of -183, -749, -1693, -3015, -4715, -6793? -189*s**2 + s + 5 What is the x'th term of -2290, -2292, -2294, -2296, -2298, -2300? -2*x - 2288 What is the t'th term of 786, 787, 788, 789, 790? t + 785 What is the k'th term of -47, -186, -421, -758, -1203? -k**3 - 42*k**2 - 6*k + 2 What is the x'th term of -43, -49, -55, -61, -67, -73? -6*x - 37 What is the i'th term of -8, -6, -4, -2? 2*i - 10 What is the l'th term of -186, -179, -168, -153, -134, -111? 2*l**2 + l - 189 What is the i'th term of 29, 49, 69, 89, 109, 129? 20*i + 9 What is the g'th term of -5024, -10046, -15068, -20090? -5022*g - 2 What is the y'th term of -73, -149, -225, -301, -377? -76*y + 3 What is the l'th term of 4533, 4535, 4537? 2*l + 4531 What is the s'th term of 18, 109, 270, 507, 826, 1233, 1734? s**3 + 29*s**2 - 3*s - 9 What is the n'th term of -153, -163, -173, -183, -193, -203? -10*n - 143 What is the y'th term of -144, -145, -144, -141, -136, -129, -120? y**2 - 4*y - 141 What is the c'th term of -5458, -5465, -5474, -5485, -5498, -5513, -5530? -c**2 - 4*c - 5453 What is the u'th term of 1941, 1950, 1973, 2016, 2085, 2186, 2325? u**3 + u**2 - u + 1940 What is the a'th term of 50, 68, 94, 134, 194, 280, 398? a**3 - 2*a**2 + 17*a + 34 What is the h'th term of 79, 104, 129, 154? 25*h + 54 What is the x'th term of -24, -66, -134, -228, -348, -494, -666? -13*x**2 - 3*x - 8 What is the c'th term of -34, -63, -68, -37, 42, 181, 392? 2*c**3 - 43*c + 7 What is the v'th term of 590, 592, 592, 590, 586, 580, 572? -v**2 + 5*v + 586 What is the u'th term of 48, 50, 64, 96, 152, 238? u**3 - 5*u + 52 What is the y'th term of -132, -127, -112, -81, -28? y**3 - y**2 + y - 133 What is the b'th term of -22, -40, -60, -82, -106, -132? -b**2 - 15*b - 6 What is the w'th term of 248, 264, 296, 350, 432, 548? w**3 + 2*w**2 + 3*w + 242 What is the c'th term of 16, -1, -44, -125, -256, -449, -716, -1069? -2*c**3 - c**2 + 19 What is the c'th term of -44, -181, -408, -725, -1132, -1629? -45*c**2 - 2*c + 3 What is the o'th term of 1752, 1745, 1726, 1689, 1628, 1537, 1410? -o**3 + 1753 What is the z'th term of -71, -86, -105, -128, -155, -186? -2*z**2 - 9*z - 60 What is the u'th term of -188, -196, -208, -224? -2*u**2 - 2*u - 184 What is the h'th term of 239, 522, 819, 1136, 1479? h**3 + h**2 + 273*h - 36 What is the m'th term of 38192, 38193, 38194? m + 38191 What is the z'th term of -257, -540, -837, -1154, -1497, -1872, -2285, -2742? -z**3 - z**2 - 273*z + 18 What is the g'th term of 206, 201, 192, 179, 162, 141? -2*g**2 + g + 207 What is the p'th term of 50, 83, 116, 149, 182, 215? 33*p + 17 What is the u'th term of 7, -7, -39, -95, -181, -303? -u**3 - 3*u**2 + 2*u + 9 What is the y'th term of 467, 479, 491, 503? 12*y + 455 What is the g'th term of 10, 1, -34, -107, -230, -415, -674, -1019? -2*g**3 - g**2 + 8*g + 5 What is the t'th term of -25, -58, -99, -148, -205, -270, -343? -4*t**2 - 21*t What is the l'th term of -7, -13, -19, -25? -6*l - 1 What is the y'th term of 302, 296, 290, 284? -6*y + 308 What is the r'th term of 33, 126, 279, 492? 30*r**2 + 3*r What is the b'th term of 34, 68, 102, 136, 170? 34*b What is the g'th term of 1479, 1477, 1473, 1467, 1459? -g**2 + g + 1479 What is the h'th term of -9441, -18881, -28321, -37761, -47201? -9440*h - 1 What is the a'th term of -38, 102, 480, 1216, 2430? 20*a**3 - a**2 + 3*a - 60 What is the x'th term of 354, 708, 1062, 1416? 354*x What is the z'th term of -894, -890, -884, -876, -866? z**2 + z - 896 What is the k'th term of 1919, 3838, 5757, 7676, 9595, 11514? 1919*k What is the n'th term of 9, 58, 145, 270, 433, 634, 873? 19*n**2 - 8*n - 2 What is the d'th term of -18395, -18396, -18397, -18398, -18399, -18400? -d - 18394 What is the k'th term of -44, -87, -134, -185, -240? -2*k**2 - 37*k - 5 What is the q'th term of -14, 23, 72, 127, 182, 231, 268, 287? -q**3 + 12*q**2 + 8*q - 33 What is the k'th term of -1, 15, 49, 107, 195? k**3 + 3*k**2 - 5 What is the z'th term of -98, -114, -132, -152, -174, -198? -z**2 - 13*z - 84 What is the g'th term of 64, 263, 594, 1057? 66*g**2 + g - 3 What is the k'th term of 6, 10, 20, 36, 58? 3*k**2 - 5*k + 8 What is the r'th term of -37, -62, -87, -112, -137, -162? -25*r - 12 What is the n'th term of 159, 307, 455? 148*n + 11 What is the k'th term of 5, 51, 165, 377, 717, 1215? 5*k**3 + 4*k**2 - k - 3 What is the l'th term of 8084, 8073, 8048, 8003, 7932, 7829, 7688, 7503? -l**3 - l**2 - l + 8087 What is the w'th term of 46, 154, 328, 568, 874? 33*w**2 + 9*w + 4 What is the d'th term of -811, -807, -801, -793, -783, -771? d**2 + d - 813 What is the m'th term of 932, 1839, 2730, 3599, 4440? -m**3 - 2*m**2 + 920*m + 15 What is the n'th term of 566, 566, 564, 560? -n**2 + 3*n + 564 What is the r'th term of 125, 118, 99, 62, 1? -r**3 + 126 What is the v'th term of 160, 281, 390, 481, 548? -v**3 + 128*v + 33 What is the o'th term of -137, -229, -335, -461, -613, -797, -1019, -1285? -o**3 - o**2 - 82*o - 53 What is the s'th term of -155, -616, -1377, -2432, -3775? s**3 - 156*s**2 What is the i'th term of 1391, 1393, 1395, 1397? 2*i + 1389 What is the l'th term of -1107, -1100, -1089, -1074, -1055, -1032, -1005? 2*l**2 + l - 1110 What is the d'th term of -12,
{ "pile_set_name": "DM Mathematics" }
most 23.8? True Which is greater: -21 or 11? 11 Is 3 not equal to 22/7? True Is -1576 >= -1575? False Does -3534 = -3534? True Is -26 equal to -33? False Is -97 <= -98? False Which is smaller: 1005 or 1004? 1004 Is -0.1 != 1779? True Are 36/1739 and 1 unequal? True Is 3/733 less than or equal to -1/2? False Is 65 at most 8? False Which is smaller: -154 or -13/5? -154 Which is bigger: -2/1945 or 1? 1 Which is smaller: -70 or -2? -70 Are 13/183 and -1 unequal? True Which is greater: 16320 or 16319? 16320 Which is greater: 2084 or 2082? 2084 Is -3/199 greater than -1? True Is 0 less than or equal to 6/2443? True Are -32 and -32 equal? True Which is greater: -1574 or -1578? -1574 Does 300 = 316? False Which is smaller: -5/1669 or 1? -5/1669 Which is smaller: 88 or -12? -12 Which is bigger: 300 or 301? 301 Is -1 equal to -6/3719? False Which is smaller: -1042/9 or -117? -117 Is 36 greater than or equal to 40? False Is -47 > -46? False Which is greater: -553 or -557? -553 Is 44/3 <= 14? False Is -628 not equal to 1/2? True Which is bigger: -1 or 22160? 22160 Which is greater: 6318 or 6323? 6323 Does -1477 = -1477? True Is -185/3 less than or equal to -9/14? True Which is bigger: -2/7 or -737? -2/7 Is 1/2 > -122.04? True Which is smaller: 357 or 360? 357 Do -6 and 153 have different values? True Are 2/237 and 0.019 equal? False Is 5.5 less than or equal to 0? False Which is smaller: 35 or 37? 35 Which is bigger: -33/2027 or -1? -33/2027 Is 0 > -3/1007? True Which is smaller: 61 or 4/7? 4/7 Which is smaller: -774/7 or -111? -111 Do -1 and -2/15 have different values? True Which is bigger: -101 or -104? -101 Which is bigger: -25467 or -25468? -25467 Is -895/7 less than -129? False Which is greater: 2405 or 2406? 2406 Is -281 less than -281? False Which is smaller: 0.1 or 79? 0.1 Which is greater: 1862/9 or 207? 207 Are 56/23 and 3 nonequal? True Which is smaller: -0.1 or 270? -0.1 Which is smaller: 3369 or -2? -2 Which is smaller: -1918 or -8? -1918 Which is smaller: 1527/4 or 382? 1527/4 Which is greater: 3058 or 3057? 3058 Which is smaller: 97/6 or 17? 97/6 Which is smaller: 523 or 520? 520 Is 16/11 <= 0? False Which is smaller: 118 or 77? 77 Which is smaller: 3/19612 or 0? 0 Are 11578 and 11578 non-equal? False Which is smaller: -17 or -59? -59 Which is bigger: -1/27 or -1? -1/27 Is -2/59 equal to -0.082? False Is -2/13 at most as big as -9/233? True Which is smaller: -1 or 1047? -1 Which is greater: 1042 or 1039? 1042 Which is smaller: -40/29 or -1? -40/29 Is 114 at least 19? True Is 4/9 smaller than -1? False Are 0 and 3/976 equal? False Is 3 greater than -1/313? True Which is bigger: 13/18 or 0? 13/18 Is 1057 bigger than 1056? True Are 1955 and 1956 equal? False Is -3283 not equal to -3285? True Is -2/5 greater than or equal to 311? False Do -4 and -20/99 have different values? True Is 3097 bigger than 3094? True Is 0 <= 1/1162? True Which is smaller: 4732 or 4729? 4729 Do 748 and -1/2 have different values? True Which is smaller: -11 or -0.14? -11 Does -4 = 0? False Which is smaller: -9/4345 or -1? -1 Which is smaller: -164 or 0.2? -164 Which is smaller: -33 or -304/9? -304/9 Which is greater: 92 or 62? 92 Are 1 and -1/877 equal? False Do -2/1151 and 0 have the same value? False Which is greater: -352/3 or -17? -17 Do -127 and 132 have the same value? False Is 19/16 != 2? True Is 1 at least -4/5019? True Which is smaller: -612 or -616? -616 Which is bigger: -1 or -11/438? -11/438 Is 7 at most as big as 10/7? False Is 427 != 426? True Is -1 greater than or equal to 1/786? False Which is greater: -305 or -293? -293 Which is smaller: 1 or 3/575? 3/575 Is -0.1 at most 36? True Is 1 > -1/397? True Is 251 bigger than 251? False Which is bigger: -8 or -7? -7 Which is greater: -21 or -15? -15 Which is bigger: 76 or 85? 85 Do -4 and 1/3260 have the same value? False Is -29 < -25? True Which is bigger: -38 or -41? -38 Is 0 at least as big as -5046? True Which is smaller: 7 or -1? -1 Is -1.2 at least as big as -1616? True Do 8/13 and 2 have different values? True Is 379 bigger than 1888/5? True Which is smaller: 10 or -0.041? -0.041 Which is smaller: 2/19 or 0.126? 2/19 Which is greater: 3/611 or -1? 3/611 Which is smaller: 2151 or 2145? 2145 Does 5 = 5? True Which is smaller: -36206 or -36205? -36206 Do 0 and 1/14510 have different values? True Is -141 <= 4/5? True Which is smaller: 0 or -84/103? -84/103 Is 0.1 less than 277? True Is 7 >= 2? True Is -16/21 <= -2? False Is -10318 greater than or equal to -10319? True Which is smaller: -24 or -34? -34 Which is smaller: -31 or -165? -165 Is 0 less than or equal to -17/137? False Which is greater: -1210 or -1208? -1208 Is -18002 greater than or equal to -18002? True Is -45 greater than or equal to -44? False Is 485 less than or equal to 487? True Are 1/2 and -1184 equal? False Which is greater: 8/7445 or 0? 8/7445 Which is smaller: 13/89 or 1? 13/89 Which is greater: 0 or 2/2137? 2/2137 Which is smaller: 77 or 74? 74 Which is smaller: -2/35 or -2/11? -2/11 Is -13 equal to -33? False Which is greater: 4/6747 or 1? 1 Are -1664 and -1661 nonequal? True Which is greater: -5 or 410? 410 Which is bigger: -76 or -77? -76 Which is greater: -769 or -4613/6? -4613/6 Which is smaller: -368 or -737/2? -737/2 Is 6 less than or equal to 10? True Which is bigger: -9 or 1? 1 Is -0.1 less than or equal to -5645? False Which is smaller: -210 or -193? -210 Which is greater: 12839 or 12838? 12839 Which is greater: 370 or 372? 372 Which is greater: 0.349 or -2/3? 0.349 Do 658 and 657 have the same value? False Is -519 < -519? False Is 8/191 at most as big as -1? False Is -172 bigger than -144? False Which is smaller: -16 or -11/2? -16 Is -17340 <= -17340? True Which is smaller: 2.15 or -0.07? -0.07 Which is smaller: -4 or 14/177? -4 Is 26 bigger than -59? True Which is smaller: 16/53 or -1? -1 Which is smaller: -1 or 3/40? -1 Do 34 and 359/11 have the same value? False Which is bigger: 0 or 1/8682? 1/8682 Is 171/4 at least as big as 43? False Which is greater: -88 or -2027/23? -88 Which is smaller: 0.15 or -4? -4 Is 2676 != 5? True Is 255 at least -4? True Is -5/877 at most 1? True Is 6 not equal to 89/14? True Is 348 equal to 350? False Which is smaller: -0.04 or 13? -0.04 Which is smaller: 8/95 or 0? 0 Is 0 smaller than 2/293? True Which is smaller: 1 or -2/803? -2/803 Is -47 smaller than -44? True Which is greater: -4205 or -4203? -4203 Do -1787/7 and -255 have different values? True Does 3/109 = -25? False Are -6/47 and 0.3 unequal? True Does 3 = -5.6? False Is -1 smaller than -60/23? False Is -21/386 bigger than 1? False Which is smaller: -6960/7 or -993? -6960/7 Is -435 at most as big as -1307/3? False Which is greater: -467/27 or -18? -467/27 Which is greater: -118 or -145? -118 Are -97 and 1 unequal? True Is 0 greater than -1/442? True Is 1702 less than 0? False Which is bigger: -154/3 or -51? -51 Which is greater: -2/9 or -537? -2/9 Is -1 at most as big as 18/805? True Which is smaller: -1 or -2.24? -2.24 Which is smaller: 234/17 or 13? 13 Are 1 and -1/1128 equal? False Which is bigger: 0.028 or -10? 0.028 Are 5 and 151/36 non-equal? True Is -1 smaller than -260/109? False Which is smaller: -69 or 1? -69 Which is smaller: 33 or 289/9? 289/9 Which is smaller: 339 or 677/2? 677/2 Which is smaller: 43/82 or 1? 43/82 Are 1070 and 7480/7 unequal? True Is -1346/3 < -450? False Which is smaller: -1153 or -1151? -1153 Which is bigger: -2004 or -2005? -2004 Is 14 at least 7? True Do 2 and 1563 have different values? True Are 6/9889 and -1 unequal? True Is -480 <= -479? True Which is greater: 6 or 37/7? 6 Which is smaller: 4188 or 4187? 4187 Is -1/4 at least 80? False Are 34 and -0.6 non-equal? True Which is greater: 288 or 287? 288 Is -4 at most as big as 49? True Which is smaller: 1 or 2/177? 2/177 Which is smaller: -18 or -136/7? -136/7 Is 4/5649 less than or equal to -1? False Which is smaller: 4 or 1921? 4 Which is greater: -13 or -185? -13 Are -321 and -319 non-equal? True Which is greater: -284 or 51? 51 Which is greater: 179 or 186? 186 Which is bigger: -651 or -655? -651 Is 33 >= 39? False Which is greater: 0.097 or -338? 0.097 Which is smaller: 508 or 0.4? 0.4 Which is smaller: 1027 or 5138/5? 1027 Is -19/5 < -2/39
{ "pile_set_name": "DM Mathematics" }
15147621 In base 9, what is 7 - 118042151? -118042143 In base 9, what is -8243 + 780? -7353 In base 2, what is -10111100110100000101 + -10001? -10111100110100010110 In base 9, what is 5025648 - -23? 5025672 In base 14, what is 46b1095 - -12? 46b10a7 In base 3, what is -20202 + -212011220102? -212012011011 In base 16, what is -48 - -205c7? 2057f In base 13, what is 51553c + -51? 5154bb In base 13, what is 85782 + 4? 85786 In base 10, what is -2 + -2591436? -2591438 In base 2, what is 10 + -1110110110111011110001? -1110110110111011101111 In base 14, what is -48d4 - 160a? -6100 In base 6, what is 5 - 31245120? -31245111 In base 5, what is 3240 - 143220323? -143212033 In base 13, what is 1 + -10c5837? -10c5836 In base 15, what is -2c4058 - 0? -2c4058 In base 12, what is -43b29496 + -3? -43b29499 In base 9, what is -7 - 31715317? -31715325 In base 3, what is 211 + -210122211212? -210122211001 In base 4, what is 22 - -230021133112? 230021133200 In base 14, what is 15 + -331cb0? -331c99 In base 4, what is 1002120 - -3311032? 10313212 In base 8, what is -4755354310 + -1? -4755354311 In base 13, what is -4bb607b5 + 0? -4bb607b5 In base 13, what is -a0 - -13079? 12ca9 In base 12, what is -42011463 - 0? -42011463 In base 9, what is 7538 - -5388? 14037 In base 13, what is -3b56 + 12411? b588 In base 7, what is 6 + -114134064? -114134055 In base 2, what is 100 + 1101001111100111100001011? 1101001111100111100001111 In base 10, what is 381764 - -284? 382048 In base 13, what is 1411 - 3478? -2067 In base 6, what is 0 + 12554121305? 12554121305 In base 6, what is 1310452504 - 12? 1310452452 In base 12, what is 93 - -54566? 54639 In base 15, what is -21bdb - 8e? -21c7a In base 2, what is -1110000100110 + 10001001100? -1011111011010 In base 16, what is 20a4 + -38a6? -1802 In base 11, what is -37 + 31a7aaa? 31a7a73 In base 4, what is -10313310200 + -12? -10313310212 In base 5, what is -303343113 + -2? -303343120 In base 12, what is -3 - 35a3b79? -35a3b80 In base 12, what is 3 + -1315147? -1315144 In base 7, what is -4446 - -106324? 101545 In base 11, what is 3 + 819063? 819066 In base 11, what is -3 + 3897495? 3897492 In base 10, what is 213439 - -84? 213523 In base 12, what is 3466216 + 1? 3466217 In base 15, what is -379a4a + 37? -379a13 In base 5, what is -22240320 + -4012? -22244332 In base 8, what is -16006325 + 0? -16006325 In base 15, what is -5 + 1ba712? 1ba70c In base 7, what is 0 - -2606516230? 2606516230 In base 7, what is 152611 + -102154? 50424 In base 5, what is -104044 - 121214? -230313 In base 14, what is -4 - -ca7c301? ca7c2db In base 16, what is bf4b78 + 5? bf4b7d In base 10, what is -97575116 + -1? -97575117 In base 3, what is 10022200021001 - 110100? 10022122210201 In base 11, what is 0 - -85673? 85673 In base 4, what is 222023 - -213302? 1101331 In base 3, what is -11210022212 - 2012210? -11212112122 In base 4, what is 1 + -21332232100? -21332232033 In base 14, what is 8 - 4785c87? -4785c7d In base 8, what is 1166 - -65063? 66251 In base 4, what is -233 - -1132223? 1131330 In base 10, what is 1117 - -8002? 9119 In base 16, what is -138 - -2eaf1? 2e9b9 In base 3, what is -12102210112 - 10? -12102210122 In base 11, what is -1567396 + -aa? -1567495 In base 11, what is -3 + -416231a? -4162322 In base 14, what is 0 - -1a3ab37? 1a3ab37 In base 10, what is -318 - -80490? 80172 In base 16, what is 14 + 8944a? 8945e In base 10, what is 13 - 2238804? -2238791 In base 7, what is -1133 + 665616? 664453 In base 6, what is -1 + 300405113? 300405112 In base 12, what is 8979 - 3a23? 4b56 In base 5, what is -3244014 + 313? -3243201 In base 6, what is 255111124 + -5? 255111115 In base 16, what is -4 - -668c4e? 668c4a In base 3, what is -100211001 - -112120100? 11202022 In base 16, what is abb + -cd6? -21b In base 3, what is 1000122011 - 10010? 1000112001 In base 6, what is 45313112 - -3? 45313115 In base 3, what is -1102101000201 + 1120? -1102100222011 In base 12, what is 4b + -80136? -800a7 In base 11, what is 1355048 - -11? 1355059 In base 13, what is 1b33a25 + -1? 1b33a24 In base 9, what is 3 + 10653684? 10653687 In base 12, what is 1 - 29b14b8? -29b14b7 In base 4, what is 220 + -20201310210? -20201303330 In base 12, what is -11b2 + 14124? 12b32 In base 3, what is -1110 - -101010001120012? 101010001111202 In base 16, what is 65f71 + 5e? 65fcf In base 5, what is -12 + 32433012? 32433000 In base 14, what is -10434a - -1a? -104330 In base 3, what is 22100202112220120 + 2? 22100202112220122 In base 5, what is 40 - -4401230? 4401320 In base 10, what is -203679107 + -4? -203679111 In base 9, what is -124 + 140680? 140555 In base 2, what is 10 - 1111010111001110101000? -1111010111001110100110 In base 5, what is -10103 - 413042? -423200 In base 14, what is 4c70bca - -2? 4c70bcc In base 3, what is 12001102 + -122011010111? -121222002002 In base 9, what is -5 + -120326604? -120326610 In base 12, what is 1724 - 1903? -19b In base 16, what is -637 + -12a9? -18e0 In base 10, what is 32 + 2204188? 2204220 In base 5, what is -32 - 22020201? -22020233 In base 3, what is 12111 - -1022012221000? 1022020010111 In base 5, what is 0 - 202043002? -202043002 In base 7, what is 33106542 - -5? 33106550 In base 15, what is 380806 - 29? 3807cc In base 9, what is 338 - 61788? -61450 In base 13, what is 4 - 1ab526a? -1ab5266 In base 4, what is -1 - 221301222203? -221301222210 In base 9, what is -5 + -3420130? -3420135 In base 4, what is 33120132322103 + -11? 33120132322032 In base 10, what is 92766 + 182? 92948 In base 15, what is dd5 + 225cc? 234b2 In base 12, what is -4 + 608a3b54? 608a3b50 In base 8, what is -552 + 47134? 46362 In base 7, what is 1141 + 131544? 133015 In base 9, what is 140655044 + 1? 140655045 In base 10, what is -953231 - 5? -953236 In base 14, what is -1a84c94 - -3? -1a84c91 In base 6, what is 5315 + 522022? 531341 In base 14, what is 17 - -4d5b45? 4d5b5c In base 13, what is -5c - 61084? -61113 In base 7, what is -2 - 63536443? -63536445 In base 8, what is -2720 - 56573? -61513 In base 5, what is -244022234044 + 1? -244022234043 In base 9, what is -2 - -43673446? 43673444 In base 14, what is 1 - -253a66? 253a67 In base 10, what is 1424 + -360702? -359278 In base 12, what is -127356 + 5? -127351 In base 3, what is 101112211212 + -1012? 101112210200 In base 5, what is -3422340221 + 0? -3422340221 In base 3, what is 2210122011110020 - -10? 2210122011110100 In base 3, what is -1200022100221 - 22? -1200022101020 In base 14, what is -cb10 - 577? -d287 In base 10, what is 293 - -1883? 2176 In base 12, what is -9a + -74572? -74650 In base 15, what is -eb20 + -394? -eeb4 In base 12, what is -157 + -187711? -187868 In base 12, what is 950 + 4598a? 4671a In base 7, what is 326 + -324103? -323444 In base 10, what is -407 - -770563? 770156 In base 8, what is -130 + 24353415? 24353265 In base 3, what is 11 - -21201202100120000? 21201202100120011 In base 7, what is 221166 - 3562? 214304 In base 2, what is -1011100010010010010100100 - -10? -1011100010010010010100010 In base 7, what is -36003 - -1321622? 1252616 In base 6, what is -54 - 302453155? -302453253 In base 15, what is 0 + -3304d7? -3304d7 In base 2, what is -10111100001110101000001011001 + 1? -10111100001110101000001011000 In base 10, what is 3 - -9868210? 9868213 In base 7, what is -22 + 406444? 406422 In base 7, what is -204132 + 556? -203243 In base 5, what is -104333014400 + 100? -104333014300 In base 3, what is -1101122201 - -11202200? -1012220001 In base 5, what is -1 - -103420130? 103420124 In base 9, what is -27220104 - -10? -27220084 In base 10, what is 32143 + -295? 31848 In base 2, what is -100000100111101 + -10000111010? -100010101110111 In base 15, what is 7db6a - 7? 7db63 In base 2, what is 10101101111010 - 1010111? 10101100100011 In base 13, what is -5a2 + 205535? 204c63 In base 13, what is -a48b0b7 - 13? -a48b0ca In base 6, what is -51425103241 + -2? -51425103243 In base 15, what is 15 - -13d0931? 13d0946 In base 16, what is 39 - df3? -dba In base 14, what is 3c592 + -a7? 3c4c9 In base 9, what is -1 - 442322021? -442322022 In base 14, what is 76b + -b725? -ad98 In base 5, what is -4 + 1300204143? 1300204134 In base 14, what is -4 - -3225c7? 3225c3 In base 2, what is 1010101001 + 101100010000010111?
{ "pile_set_name": "DM Mathematics" }
8, to the nearest integer? 15 What is the third root of 1195471573 to the nearest integer? 1061 What is 38578334 to the power of 1/8, to the nearest integer? 9 What is the square root of 1484423526 to the nearest integer? 38528 What is 207509088 to the power of 1/9, to the nearest integer? 8 What is 151147253 to the power of 1/2, to the nearest integer? 12294 What is 2117235729 to the power of 1/6, to the nearest integer? 36 What is the fifth root of 275701302 to the nearest integer? 49 What is the ninth root of 2297518842 to the nearest integer? 11 What is the square root of 632531478 to the nearest integer? 25150 What is the square root of 1934343762 to the nearest integer? 43981 What is the third root of 1497091215 to the nearest integer? 1144 What is the third root of 404004080 to the nearest integer? 739 What is the third root of 59142096 to the nearest integer? 390 What is the cube root of 390461115 to the nearest integer? 731 What is the cube root of 21742752 to the nearest integer? 279 What is the fifth root of 76153342 to the nearest integer? 38 What is 213388284 to the power of 1/3, to the nearest integer? 598 What is 105901521 to the power of 1/7, to the nearest integer? 14 What is the fourth root of 1615617397 to the nearest integer? 200 What is 1773988 to the power of 1/3, to the nearest integer? 121 What is 172368947 to the power of 1/2, to the nearest integer? 13129 What is the ninth root of 320545869 to the nearest integer? 9 What is 266001067 to the power of 1/4, to the nearest integer? 128 What is the cube root of 515762682 to the nearest integer? 802 What is the tenth root of 5971360182 to the nearest integer? 9 What is the square root of 109994353 to the nearest integer? 10488 What is the square root of 467590784 to the nearest integer? 21624 What is the sixth root of 202064721 to the nearest integer? 24 What is the square root of 25489107 to the nearest integer? 5049 What is the cube root of 21115463 to the nearest integer? 276 What is the square root of 451509081 to the nearest integer? 21249 What is 60832073 to the power of 1/3, to the nearest integer? 393 What is 88403238 to the power of 1/6, to the nearest integer? 21 What is 71969741 to the power of 1/2, to the nearest integer? 8483 What is the third root of 1483532 to the nearest integer? 114 What is 642535294 to the power of 1/2, to the nearest integer? 25348 What is 62405164 to the power of 1/10, to the nearest integer? 6 What is the third root of 775855188 to the nearest integer? 919 What is 352761731 to the power of 1/2, to the nearest integer? 18782 What is 5463235128 to the power of 1/3, to the nearest integer? 1761 What is 85987269 to the power of 1/2, to the nearest integer? 9273 What is 6756021855 to the power of 1/2, to the nearest integer? 82195 What is the square root of 412339521 to the nearest integer? 20306 What is 12336900 to the power of 1/3, to the nearest integer? 231 What is the third root of 128429115 to the nearest integer? 505 What is 694423053 to the power of 1/2, to the nearest integer? 26352 What is 749345702 to the power of 1/2, to the nearest integer? 27374 What is 91998307 to the power of 1/5, to the nearest integer? 39 What is 185871382 to the power of 1/3, to the nearest integer? 571 What is the cube root of 16584424 to the nearest integer? 255 What is the sixth root of 876607871 to the nearest integer? 31 What is 537754644 to the power of 1/3, to the nearest integer? 813 What is 3825910 to the power of 1/6, to the nearest integer? 13 What is the cube root of 406518155 to the nearest integer? 741 What is the tenth root of 669203068 to the nearest integer? 8 What is 331922208 to the power of 1/2, to the nearest integer? 18219 What is 491229749 to the power of 1/2, to the nearest integer? 22164 What is the eighth root of 2571959392 to the nearest integer? 15 What is the square root of 135994724 to the nearest integer? 11662 What is the square root of 115627 to the nearest integer? 340 What is 15125983 to the power of 1/5, to the nearest integer? 27 What is 2300801063 to the power of 1/3, to the nearest integer? 1320 What is the square root of 44235431 to the nearest integer? 6651 What is 15701774 to the power of 1/5, to the nearest integer? 27 What is the square root of 47528478 to the nearest integer? 6894 What is 1684349355 to the power of 1/4, to the nearest integer? 203 What is 80464731 to the power of 1/6, to the nearest integer? 21 What is 822492397 to the power of 1/3, to the nearest integer? 937 What is 2447514 to the power of 1/3, to the nearest integer? 135 What is 129476172 to the power of 1/3, to the nearest integer? 506 What is 341098451 to the power of 1/10, to the nearest integer? 7 What is 43770259 to the power of 1/2, to the nearest integer? 6616 What is the seventh root of 9666580 to the nearest integer? 10 What is the fifth root of 114448339 to the nearest integer? 41 What is the cube root of 596529242 to the nearest integer? 842 What is the third root of 399077259 to the nearest integer? 736 What is 38054937 to the power of 1/2, to the nearest integer? 6169 What is the ninth root of 7422354734 to the nearest integer? 12 What is the third root of 414560394 to the nearest integer? 746 What is the third root of 2886763931 to the nearest integer? 1424 What is the cube root of 166629962 to the nearest integer? 550 What is 34358747 to the power of 1/10, to the nearest integer? 6 What is 27339722 to the power of 1/4, to the nearest integer? 72 What is 407236989 to the power of 1/3, to the nearest integer? 741 What is the square root of 373928979 to the nearest integer? 19337 What is 1215317117 to the power of 1/2, to the nearest integer? 34861 What is 602869626 to the power of 1/3, to the nearest integer? 845 What is 1148250298 to the power of 1/2, to the nearest integer? 33886 What is the seventh root of 24640393 to the nearest integer? 11 What is the square root of 127911615 to the nearest integer? 11310 What is 4190169025 to the power of 1/7, to the nearest integer? 24 What is the square root of 191148974 to the nearest integer? 13826 What is 2560046800 to the power of 1/2, to the nearest integer? 50597 What is the seventh root of 3334438712 to the nearest integer? 23 What is 3216810482 to the power of 1/7, to the nearest integer? 23 What is the square root of 3987744 to the nearest integer? 1997 What is the eighth root of 10942234 to the nearest integer? 8 What is 4857643375 to the power of 1/5, to the nearest integer? 87 What is 192312460 to the power of 1/9, to the nearest integer? 8 What is 17618935 to the power of 1/3, to the nearest integer? 260 What is the fifth root of 1811945274 to the nearest integer? 71 What is the seventh root of 4093854229 to the nearest integer? 24 What is the third root of 1081487689 to the nearest integer? 1026 What is the seventh root of 4111453501 to the nearest integer? 24 What is the square root of 104651485 to the nearest integer? 10230 What is 4443966693 to the power of 1/6, to the nearest integer? 41 What is 543144963 to the power of 1/2, to the nearest integer? 23305 What is the square root of 433504854 to the nearest integer? 20821 What is 32084460 to the power of 1/8, to the nearest integer? 9 What is 160710274 to the power of 1/7, to the nearest integer? 15 What is the cube root of 1269747821 to the nearest integer? 1083 What is 318897633 to the power of 1/3, to the nearest integer? 683 What is 279298250 to the power of 1/2, to the nearest integer? 16712 What is 430382971 to the power of 1/2, to the nearest integer? 20746 What is 197992423 to the power of 1/3, to the nearest integer? 583 What is 27781053 to the power of 1/3, to the nearest integer? 303 What is 2781021 to the power of 1/3, to the nearest integer? 141 What is the third root of 251048736 to the nearest integer? 631 What is the eighth root of 36832612 to the nearest integer? 9 What is 1678821962 to the power of 1/3, to the nearest integer? 1189 What is the cube root of 153258889 to the nearest integer? 535 What is the square root of 38492861 to the nearest integer? 6204 What is the square root of 245063442 to the nearest integer? 15655 What is 151296585 to the power of 1/9, to the nearest integer? 8 What is the
{ "pile_set_name": "DM Mathematics" }
+ 19, -2*s + 0*y = 2*y - 2. Let j be s + -2 + (0 - -2). Solve -j*a + 12 = 4*p, -4*p - a + 12 = -3*a for p. 3 Let g(d) = -3*d - 7*d + 18 + 8*d + 3*d. Let j be g(-6). Solve 3*w - j = -3*l, 3*l - 4 = 2*l + w for l. 4 Let n be -10 + 344/28 + (-4)/14. Solve -13 = n*o - 4*b - 3, 5*o + 2*b - 11 = 0 for o. 1 Let s(u) = -u**2 + u + 7. Let b be s(2). Solve k = -b*h - 24, -2*h + 0*h = 8 for k. -4 Let l be (6/10)/((-624)/320 + 2). Solve 4 = 4*y - 2*c, -3*y = 13*c - l*c + 2 for y. 0 Let z = 931 + -931. Solve z = -3*j - 3*w, 4*w + 8 = j + 18 for j. -2 Suppose -2*i - 42 = -4*i. Suppose 2*r - r - 4 = 0, -o + 2*r = 4. Solve -3*t + i = 5*b - 14, -24 = -o*t - b for t. 5 Let g(k) = -k - 1. Let o be g(-3). Suppose 4 = i + i. Let b be ((-40)/(-36)*-3 - -2)*(-30)/40. Solve 4*t - o*u - b = 19, 2*t - 14 = i*u for t. 3 Suppose -134 = -n - 4*f - 15, -n + 133 = -3*f. Suppose -n = 2*b - 133. Solve -h + 8 = p, -b*h = 3*p - h - 20 for p. 4 Let v(o) be the first derivative of o**4/4 + 4*o**3/3 + 2*o - 9. Let j be v(-4). Solve 0 = x + 3*d + d - 9, 0 = 5*x + j*d - 27 for x. 5 Let y(i) = -2*i + 16. Let c = 11 - 4. Let l be y(c). Suppose -b - 3 = -l*b. Solve -d - d - b*u - 17 = 0, -d = u + 6 for d. -1 Let u be (20/6)/(28/126). Let m = 0 + 2. Solve u = l - 5*n, 0 = -2*l - 3*n + 6*n + m for l. -5 Let d(h) = h**2 - 2*h + 6. Let p(f) = 2*f - 5. Let z(a) = 4*d(a) + 5*p(a). Let y be z(-1). Solve y = -b + l - 1, 0 = 3*b + 4*l - 29 for b. 3 Let m(v) = 11*v + 9. Let a be m(5). Let i = -61 + a. Solve 0 = -3*h + 2*r, -r = i*r for h. 0 Let v(n) be the first derivative of n**4/4 - 2*n**3 + 11*n**2/2 - 3*n + 3. Let k be v(3). Solve -1 = -l + 5*i, 0*l - 3*l = i - k for l. 1 Let c be 1/3 + 352/132. Solve -c*l - 4*y + 7*y + 15 = 0, -5*y - 25 = 0 for l. 0 Suppose 13*k = 299 - 234. Solve p - 4*y - 8 - 8 = 0, 3*p = k*y + 27 for p. 4 Let z(l) = -l**3 + 9*l**2 + 38*l - 19. Let r be z(12). Solve r*s = 2*t - 12, s - 3*t + 1 = 9 for s. -4 Let z = -6 - 13. Let r = z + 24. Suppose 4*v - 13 = -r*n, 3*n - 6 = -6*v + 3*v. Solve -2*p + h - 4 = -n*p, 4*p - 2 = 2*h for p. 1 Let r(m) = m + 3. Let w be r(0). Suppose 3 = -k, -j - k = j - w. Suppose -j*s = -0*s - 15. Solve s = -3*u + 2*q + 2, 2*q = 0 for u. -1 Let v = 1168 + -1166. Solve -4*o + 5*x = 30, -3*x = -v*o - 0*x - 16 for o. -5 Let t(a) = -a**3 + 23*a**2 - a + 23. Let s be t(23). Solve s = -2*c + q + 9, -4*c + 0*q = -3*q - 19 for c. 4 Let o = 863 + -856. Solve 0 = 2*l - o*l + c - 6, -2*c = -2*l + 4 for l. -2 Let r be (-652)/(-16) + 2/8. Suppose -101 + r = -12*q. Solve 0 = -2*p + 2*b - 14, 0*p = q*p + 5*b + 15 for p. -5 Let h be (20/(-25))/((-4)/10). Let z(j) = -j**3 - 2*j**2 + 8*j + 17. Let w be z(-3). Solve -2*v + 5 = -3*d + 3, w = -d + h*v for d. 0 Suppose 3*y + 2*y = 0. Let f = 167 - 163. Suppose y*u = f*u - 4. Solve -u = -w - 3*l - 2, -w + 4*l - 8 = 0 for w. -4 Suppose -2*w + 10 = -0*w. Suppose -w*l = -29 - 11. Solve -h - 2*o - l = -0, 2*o = -3*h - 4 for h. 2 Let z be (1 - -22) + (-71 - -60). Solve 5*y + 4*s - 1 = -z, 5*y = -s - 14 for y. -3 Suppose 6 = c - 2*c. Let i be (-34)/(-6) - 2/c. Suppose j = 2*w, -j = -7*w + 9*w - 8. Solve -5*a = -3*m + 13, -3*a = -8*a - j*m - i for a. -2 Let r be ((-6)/(-4))/(4/8). Let n be 4/4 - (-1 + -10). Solve m + 3*m + 14 = -r*p, 4*m + 4*p = -n for m. -5 Let n = 43 + -23. Let w be 1/(-2 - n/(-8)). Suppose w*x + 30 = 8*x. Solve -2*d + 0*d - x*a - 11 = 0, 5*d + 12 = 3*a for d. -3 Suppose 0 = 2*l + g + 21, 36 = -2*l - 0*g - 4*g. Let p be 6/1 - l/8. Solve -6*t - 2*u - p = -3*t, -11 = 3*t + 4*u for t. -1 Let y be 0 + 4 + -8 - 27. Let b = -21 - y. Solve 0 = -5*p - l + 3, 4*p + 0*l - 3*l - b = 0 for p. 1 Suppose 2*f + 4*c = 3*f + 36, -2*f - 5*c - 33 = 0. Let v = f - -26. Solve -4*b = v*q + 14, 0 = -3*q + 4*b - 0 + 9 for q. -1 Suppose 12*x - 32 = 4*x. Solve 0 = 3*o - 5*h + 7, 14 = -3*o + 2*h - x*h for o. -4 Suppose -1091 = 5*u - 1111. Solve 3*f + 6 = 3*o, 4*f - o + u*o - 20 = 0 for f. 2 Let w(i) be the third derivative of i**5/60 - i**4/12 - 5*i**3/6 - 7*i**2. Let u be w(4). Solve -2*p - 10 = -2*y + y, u*y - 26 = 5*p for y. 2 Let v be ((-19)/6)/(-19) + 232/48. Solve -l + v = -2*s, 0 = -4*s - 3*l + 7*l for s. -5 Suppose 3*d - n - 59 - 14 = 0, 5*n = -5. Let u = -23 + d. Solve 3*p = -m - u, 14 = -3*m + 5*p - 3*p for m. -4 Let p(r) = r**3 - 19*r**2 + 7. Let b be p(19). Suppose -11*v = -b*v - 64. Solve y = 0, -4*s = -y + 5*y + v for s. -4 Let j(u) = u + 1. Let i(d) = -2*d - 9. Let o be i(-5). Let t be j(o). Solve -4 = -t*s, 6*l - 5*s + 19 = 3*l for l. -3 Suppose -c - 3 = 4. Let b(q) = -q**3 - 7*q**2 + 2. Let o be b(c). Let r be ((-6)/(-4))/(54/360). Solve 4 = f - o*w, r*w + 12 = 3*f + 5*w for f. 4 Let q(p) = p**3 + 7*p**2 + 6*p + 5. Let u be q(-6). Suppose 10 = u*n - 0*n. Suppose m - n = -0*m. Solve 2*a = 4*l + 24, 0 = -m*l - 6 - 2 for a. 4 Suppose 9 + 3 = 2*t - p, 2*t - 20 = 3*p. Solve 17 = -5*f - 2*w, -5*w = f + t*f + 5 for f. -5 Let m = -5 - -20. Let a = m - 10. Solve -5*c - 2*h = 1, -4*c + 3*h = -a*c - 8 for c. 1 Suppose 0 = 4*n - 2*z - 32, 8*n - z - 46 = 3*n. Let i = -146 + 254. Let f = -104 + i. Solve 3*s - 2*s + n = -5*w, f*w - 1 = s for w. -1 Let u be (-1)/3 + 7/3. Let r be u*(2/(-1) + 9). Solve 0 = 2*b + 2*a - r, -3*b + 8 = b - a for b. 3 Let y = 570 + -558. Solve 0 = -2*l - 4*d + 28 - y, 4*l - 23 = -5*d for l. 2 Suppose 583 = 47*l + 160. Solve 0 = -4*y - 0*i + 2*i, -3*i = 3*y - l for y. 1 Let l(s) = -s**2 - 5*s - 4. Let v be l(-5). Let t(w) = -6*w + 263. Let y be t(43). Let f be (v/y)/((-2)/5). Solve 5*x = -2*c - 23, -f*c + 4 = -x - 3*c for x. -5 Let r be 0/((-3)/9*3). Let v be (-1)/7 - (-1545)/35. Let h = v - 24. Solve -5*a + h = -i - 0*i, r = -a + 4*i - 15 for a. 5 Let y be (6/(-5))/((-14)/315). Suppose 0 = -4*q - 5*h + y, q + 0*h - 9 = -2*h. Suppose -7*k = -q*k - 72. Solve 2*t + 2*t + n = k, -3*t + 5*n = -2 for t. 4 Let r be (-36 - 0)*34/(-51). Solve 9 = b - 4*l, 4*b - l + r = -5*l for b. -3 Let o be 5 + (-63 - 3/1). Let a = o + 74. Solve -5 = 3*g + h, 2 = 3*g + 4*h + a for g. -1 Let k be (-299)/(-91) + 15/21. Solve 0 = 2*j + 2*c + k, 0 = -4*c + 6 + 6 for j. -5 Suppose 2*l + 120 = -y - 3*y, 0 = 2*y - 5*l + 60. Let z = -12 - 14. Let u = z - y. Solve 0 = 2*n + 8, -4*j + 0*j + 4*n + u = 0 for j. -3 Suppose 35 = 116*q - 111*q. Solve -3*b - n = -q*b + 10, 2*n + 5 = 3*b for b. 3 Suppose 3*m = 5*m - 4. Solve -3*s - m*r = s - 10, -s + 5*r = 14 for s. 1 Let i(r) = -9*r + 128. Let d be i(14). Solve 4*h = d*w - 26, 0*h = -w + h + 9 for w. 5 Let p be 1 + 16 - 66/(-22). Suppose 23*k - 3 = p*k. Solve 5*q + 4*i + 10 = -1, -3*q = i + k for q. 1 Suppose 0 = -b - 0*b - 4. Let q(i) = -i**3 + 3*i**2 + 3*i - 4. Let w be q(b). Suppose -4*n = -8*n + w. Solve 5*o + m + 6 = 0, 5*m = n - 4 for o. -2 Let a be (-6)/(-1 + -1) - 1. Let k = -34 - -37. Solve 0 = -a*j + k*q - 4, 5*j + 10 = -q - q for j. -2 Suppose 4 - 2 = 2*p + 3*l, 10 = 4*p + 3*l. Let u be (16/20)/(p/30). Let s(n) = -n**2 + 7*n - 3. Let h be s(u). Solve -3*m - 4 = -3*t - 1, -9 = -3*m - h*t for m. 1 Let h = 441 + -439. Solve -3*k = h*k + 3*s + 11, 0 = 2*k - 3*s + 17 for k. -4 Let w be (-322)/(-4) + (-6)/(-12). Let o(c) = -3*c + 3. Let h be o(-4). Let l be w/h - (-4)/(-10). Solve -5 = -2*x - l*b, -3*x + 2 = -b + 3 for x. 0 Suppose -87 = -3*x - 75. Suppose -j + x*j = 33. Solve -4*q + 26 = 3*k, 4*k - 5*q + 6 = -j for k. 2 Suppose 56*f - 274 = -50. Suppose n = 2*b - 4, 5*n = 2*n + 2*b. Suppose -n*a + 0 = -4. Solve -a*m = f*x + 10, x - 1 = m + 1 for x. -1 Let h = 6 + -3. Let a(j) = -4*j**2 + 11*j + 25. Let p be a(4). Solve -p*m + f - h = -0*f, 5*f = 4*m + 15 for m. 0 Let s(t) = -t**3 + 11*t**2 + 42*t - 187. Let v be s(13). Solve -5*y = -2*o + v, -20 = 4*o + o + 2*y for o. -2 Let b(y) = y**3 + 5*y**2 + 8. Let s(v) = -2*v - 20. Let h be s(-8). Let z be b(h). Solve -4*w + 5*l - z = 0, w + l = 6*w + 9 for w. -1 Suppose -3 = 53*y - 3. Solve 2*k - 2*z + 6 = -y*z, 0 = -z for k. -3 Let w(d) = -d**2 - 14*d - 9. Suppose 0*o - 78 = 6*o. Let y be w(o). Solve -p + 2 = -4*s, -y*s = -3*p - p - 4 for s. -1 Suppose -2*i - 8*i = -240. Let n be i/10 + (24/(-20))/3. Solve 0 = 2*l + n*z + 2, -2*l = 5*z + 3 + 5 for l. 1 Let r(l) = -l**2 - 8*l + 5. Let n = 11 + -17. Let i be r(n). Suppose -15*k - 10 = -i*k. Solve 3*t + 0*t - 28 = 5*m, 20 = -5*t - k*m for t. 1 Let x(k) = k**3 - 7*k**2 - 8*k + 2. Suppose 2*c -
{ "pile_set_name": "DM Mathematics" }
-0.2, -5/6, -0.4, 0.5? -0.4 What is the fourth biggest value in -0.4, -0.03, -6, 2/11? -6 What is the fourth biggest value in -40, -1, 3, -1/4? -40 Which is the smallest value? (a) -0.02 (b) 5 (c) 1 (d) -1/88 (e) -0.3 e What is the biggest value in -5/4, -2/3, 2/3, -227? 2/3 What is the fifth biggest value in -3, 0.3, 0.0032, -0.1, -1? -3 What is the fourth smallest value in 1/3, 3, -439/7, -5? 3 What is the smallest value in 28, 0.2, -1.2? -1.2 What is the second smallest value in -1, -0.3, -0.1, -0.8? -0.8 Which is the biggest value? (a) -5/2 (b) -2 (c) 1/4 (d) 10.21 d Which is the third smallest value? (a) 5 (b) 0 (c) 47/4 c Which is the second smallest value? (a) 0.2 (b) -15 (c) 0 (d) -1 d What is the fourth smallest value in -2/9, -3.1, 1, -30? 1 What is the second smallest value in 0.01, 2, 4.2? 2 Which is the second smallest value? (a) 2/17 (b) 5/2 (c) 2 (d) 3/5 d Which is the fourth biggest value? (a) -6/11 (b) -7 (c) -1/2 (d) -3/4 b What is the fourth smallest value in 4, -0.4, 2/9, 3, 2/91? 3 What is the second biggest value in -1/3, -30, -2, 1? -1/3 What is the second biggest value in -2, -5, -0.3, -3? -2 Which is the second biggest value? (a) -2/7 (b) -7 (c) 4/9 (d) 15 c What is the third biggest value in -5, -1/7, -14? -14 Which is the second biggest value? (a) -4 (b) 2 (c) -0.03 (d) -0.4 c Which is the third biggest value? (a) -13/18 (b) -0.1 (c) -1 (d) -4 c What is the third smallest value in -0.01, 5/12, 1/3? 5/12 Which is the biggest value? (a) -0.1 (b) -4 (c) -0.4 (d) -6/13 a What is the biggest value in -296, -4/3, -2/7, -0.5? -2/7 What is the second biggest value in -39, 3/5, -1? -1 What is the smallest value in 4, 2/19, -0.3, 5, -423? -423 Which is the fourth smallest value? (a) -3 (b) 3/8 (c) -3/2 (d) -1/17 b What is the smallest value in -0.2, 84, 16? -0.2 What is the second biggest value in 1/3, -3, -0.8, -1/6, 3? 1/3 What is the third biggest value in -0.2, -23, -3, 5? -3 What is the third smallest value in 1, -1/5, -3/7? 1 Which is the third biggest value? (a) 3 (b) 3/2 (c) -0.5 c Which is the third smallest value? (a) -3/10 (b) 318 (c) 3/2 b Which is the biggest value? (a) -28 (b) 3 (c) 1/5 (d) -0.4 b Which is the second smallest value? (a) 1/121 (b) -1 (c) -4 b Which is the smallest value? (a) -33 (b) -2 (c) -4/9 (d) 1/5 (e) -0.26 a Which is the third biggest value? (a) -1/2 (b) -5/4 (c) -3 (d) -2 d What is the third smallest value in -5, 0.8, -3, -1/2? -1/2 Which is the third smallest value? (a) 22 (b) -35/6 (c) -0.3 (d) -6/7 c What is the third smallest value in -14/5, -217, 1, -1? -1 What is the third biggest value in 62, 1, 0.17? 0.17 Which is the second biggest value? (a) -2/15 (b) 2/11 (c) 1 (d) 0 b What is the second smallest value in -5, -1, 1/4, 122? -1 What is the third biggest value in -2, 0.4, -13, 6? -2 Which is the second smallest value? (a) -3/7 (b) 4 (c) -140/177 a What is the biggest value in 211, -1/4, 1/2, -1? 211 What is the third biggest value in 1, 4, -7/5? -7/5 Which is the third smallest value? (a) -1/20 (b) 29 (c) -4 b What is the second biggest value in 0.5, -10/13, -0.5, -4? -0.5 Which is the smallest value? (a) -5/2 (b) 4 (c) -5 (d) -2/371 c What is the third smallest value in 6, -6, 0.1? 6 What is the fourth biggest value in -5, -4/25, -0.6, 5, -2? -2 What is the third biggest value in -13, -0.3, -8/9? -13 Which is the fourth biggest value? (a) -1 (b) -2 (c) -0.5 (d) 3 b What is the second smallest value in -2/3, 0.1, 1, -1.3? -2/3 Which is the fifth biggest value? (a) -5 (b) -14 (c) -0.3 (d) -4 (e) -10 b What is the biggest value in 7, -13, 2, 0? 7 What is the fourth biggest value in -7, 9, -5/6, -3, 4? -3 What is the second smallest value in 0, -25, -0.5, 0.2, 2? -0.5 Which is the second smallest value? (a) -3/25 (b) 0 (c) 1/15 b What is the second biggest value in -1/2, 2/11, -0.03, 0.1? 0.1 Which is the biggest value? (a) 2/21 (b) -89 (c) 4 (d) -3/4 c Which is the second smallest value? (a) -144/5 (b) -0.1 (c) -31/4 c What is the smallest value in -3, -0.1, -0.069, -5? -5 Which is the third biggest value? (a) 2/3 (b) 1.8 (c) -0.3 (d) 5/4 (e) -2 a Which is the third smallest value? (a) 0 (b) 2/13 (c) 3/8 c Which is the fourth smallest value? (a) 0.4 (b) 0.04 (c) 0 (d) 0.03 a Which is the smallest value? (a) 5/4 (b) 5 (c) 455 (d) -2/9 d What is the second biggest value in 16, -4, 5, -3? 5 Which is the third biggest value? (a) -0.2 (b) 3/31 (c) 3/4 (d) 5 b What is the third biggest value in -0.2, -5, 12, 0.4? -0.2 Which is the fourth biggest value? (a) 0.2 (b) 6 (c) 1/4 (d) -12/5 d What is the fourth smallest value in -2/31, 5, 0.06, 0? 5 What is the second biggest value in -115, 0, -1/3? -1/3 Which is the biggest value? (a) 3 (b) -648 (c) 4 c What is the fourth smallest value in -2/3, 0.2, 1/6, 1, 2/15? 0.2 What is the smallest value in 0, 8, 0.4, -3, 4? -3 Which is the second smallest value? (a) -0.3 (b) 2 (c) 359 b Which is the second smallest value? (a) 6 (b) 40 (c) -4 (d) 0 (e) 0.4 d What is the second biggest value in 2, 0.4, -4/11, 0.5, 0.14? 0.5 What is the second smallest value in -4, 1/3, -181/5, -3? -4 What is the third smallest value in -2, -6/7, -6/11? -6/11 Which is the fourth smallest value? (a) 4/7 (b) 0.3 (c) -0.173 (d) 5 d Which is the biggest value? (a) 0.2 (b) -3/2 (c) -1400 (d) -5 a What is the fourth smallest value in 5, 31, -0.3, -2? 31 Which is the fourth smallest value? (a) -2/11 (b) 2 (c) -30 (d) -1/2 b Which is the fourth smallest value? (a) 1/6 (b) -5 (c) -120.5 (d) 5 d What is the third smallest value in 0, -283, 3/11? 3/11 Which is the biggest value? (a) 1 (b) 1/2 (c) -0.3 a What is the second smallest value in -1, -3, 1.1, 3/2? -1 Which is the biggest value? (a) 3 (b) -6.9 (c) -3/2 (d) -0.2 a What is the smallest value in -11, 7, 0.5? -11 Which is the third biggest value? (a) -4/11 (b) 3 (c) -1 c Which is the second biggest value? (a) -0.2 (b) -0.48 (c) -1/2 (d) 8 (e) 5/3 e Which is the third smallest value? (a) 0.2 (b) 13 (c) -5/4 (d) 5 d Which is the fourth smallest value? (a) 2.4 (b) 0 (c) -3 (d) -0.3 (e) 2 e What is the biggest value in -19, 5, 0, -0.1? 5 What is the second biggest value in 0.4, -2/5, 2/3, -1/8? 0.4 What is the fourth smallest value in 2/157, 1, -3, -1? 1 Which is the third smallest value? (a) 3/2 (b) 0 (c) -4166 a What is the fourth smallest value in -0.4, 33, -2/19, -0.1, -0.05? -0.05 What is the biggest value in 4, 6, 1, -1, 7/6? 6 Which is the biggest value? (a) 2/11 (b) 0.08 (c) -0.5 (d) 3 d What is the third biggest value in -9, 5, -3/8? -9 What is the third smallest value in 1/2, 0.3, -1/4, 4? 1/2 What is the fourth smallest value in 20, 0.1, 3/2, -8? 20 Which is the second smallest value? (a) 5 (b) 4/13 (c) 1 (d) -3/8 b Which is the fourth smallest value? (a) 1/3 (b) 0.2 (c) -102 (d) -0.06 a What is the second smallest value in 5, 0.3, -0.1, 269/5, 0.5? 0.3 What is the third biggest value in -1, -2, -0.3, 5? -1 What is the second biggest value in -4, 0.05, -0.1, 4, -0.2? 0.05 What is the second biggest value in 0.1, -14/267, -0.3? -14/267 Which is the smallest value? (a) -2 (b) 4 (c) -0.02 (d) 3 a What is the second smallest value in -1, 1/8, -18? -1 What is the second smallest value in 0.16, 4, 14? 4 What is the third smallest value in 1120, -9, -0.2? 1120 What is the second smallest value in 5, -1/4, -2/19? -2/19 Which is the fourth biggest value? (a) -0.5 (b) -2.9 (c) 0.3 (d) -8 d What is the fifth biggest value in 0.4, 17, -0.2, 0.2, -1/4? -1/4 What is the biggest value in -1/20, 3, 24, 13? 24 Which is the third biggest value? (a) 1.4 (b) 2 (c) -2 c Which is the fourth biggest value? (a) -1 (b) 12.05 (c) 3 (d) -2 d What is the smallest value in 0.4, -6/79, 5, -2/3? -2/3 Which is the third smallest value? (a) -1/4 (b) 2 (c) 0.7 (d) -2/19 c Which is the fourth biggest value? (a) -1 (b) 4 (c) -4 (d) 8/11 c Which is the third smallest value? (a) -0.1 (b) -2/9 (c) -2/15 (d) -3/46 a What is the second biggest value in 2/7, -3/4, 0? 0 Which is the second smallest value? (a) 5 (b) 6/11 (c) 0.7 (d) -2 b What
{ "pile_set_name": "DM Mathematics" }
te? True Let l be 25/(-1 - (-4)/2). Suppose -l = -3*k - 2*k. Let u(d) = -d**3 + 5*d**2 + 2*d + 5. Is u(k) a composite number? True Let s = -36299 - -53392. Is s a prime number? True Suppose -3*p - 6*p - 144 = 0. Let f(t) = -6*t - 70. Is f(p) a composite number? True Let a be 1/(2 + 13/(-7)) - 2. Is 1/(-10)*-2 - (-1504)/a prime? False Let s be -1*(2 - (546 + -2)). Let o = 199 - 225. Is (-4)/o + s/26 prime? False Suppose 1730 = 4*n - 746. Is n a composite number? False Is (87844/(-18))/((-144)/648) prime? True Is (-3)/12*(-35063 + -53) composite? False Let j(r) = r**3 + 7*r**2 - r - 2. Let i be j(-7). Is 1222*i/(-40)*-4 composite? True Suppose -3*l + 5*l = 32. Let w = 18 - l. Suppose 0*p + w*p - 55 = 5*k, 5*k = 4*p - 105. Is p prime? False Suppose -44*o + 48*o + 168 = 0. Let d = 137 - o. Is d prime? True Is 2056 + (0 - 0) - (-60)/(-20) prime? True Let h be 5/(-25) - (-4)/(-5). Let z be -1*(h - (-1 + 1)). Is (-668)/(-10) + z/5 composite? False Let m(y) = -y + 11. Let s be m(0). Let o = 12 - s. Is (-3)/(o*9/(-291)) prime? True Let x = 349249 + -202238. Is x composite? False Suppose -3*w - 659 = 49. Let l = -107 - w. Is l - (-8)/(-3 - -5) prime? False Let b(n) = -n**3 + 7*n**2 + 9*n + 2. Let g be b(8). Let i = g - 13. Let p = 161 + i. Is p a prime number? False Suppose w + 4 = -0. Is (-12)/(0 + w) + 874 a composite number? False Let r(t) = -122*t + 11. Is r(-13) composite? False Let p = -4 + 6. Let x = 8 - p. Suppose -5*a = -x*a + 79. Is a prime? True Suppose 988 = x + 4*k, 0 = 3*k - 7*k - 16. Suppose 3*d = -d. Suppose 0*n + 4*n - x = d. Is n prime? True Let r(v) = -v**2 - 6*v + 3. Suppose 3*m - 9 = -27. Let n be r(m). Let o(u) = 99*u - 4. Is o(n) prime? True Let k = -13 + 2. Is 1426/22 - 2/k composite? True Let c(w) = 957*w + 271. Is c(14) a prime number? True Let d(z) = z**3 - z**2 + 2*z + 191. Is d(0) composite? False Suppose 6 = -5*c - c. Is 1/(((-11)/(-3883))/(c + 2)) a composite number? False Suppose 4*s - 1434 = -5*o, -5*s = -7*s + 5*o + 732. Suppose -4*p + 1777 - 4775 = -3*l, 5*p = -3*l + 3016. Let w = l - s. Is w a composite number? False Suppose -5*i + 541 = 4*v, -v - i = -68 - 68. Let b = -7 - 5. Let c = b + v. Is c a composite number? False Let b(k) = k**3 + 11*k**2 - 10*k - 5. Suppose 15 = 2*o + o. Suppose -c - o - 4 = 0. Is b(c) prime? False Suppose 0 = -4*s + s + 15. Suppose -15 = s*g, 7*g - 2*g + 323 = u. Is (-5)/((-20)/u) - -2 prime? True Let v = 26985 - -21296. Is v prime? True Let s be -4 + (10 - 2) - -44. Let q be 122/(-8) - (-12)/s. Is 8/10 + (-2073)/q prime? True Let u(o) = 110*o**2 - o. Let f be u(-2). Suppose -2*x + 74 = w - f, w = x - 255. Is x prime? True Let z(h) = h**3 - 15*h**2 + 21*h + 39. Is z(20) a composite number? False Suppose 8 + 2 = -3*c + 2*u, 4*u = 2*c + 20. Suppose 8*l - 4*l = 5*g - 5767, -3*l - 9 = c. Is g composite? False Let p = 64 - 41. Let u = p - 20. Suppose 283 = 3*w - 4*o, -2*w + 279 = w - u*o. Is w a prime number? True Let q be (124/12 - 3)*3. Let s = 22 - q. Suppose -i + 43 = -s*i. Is i a prime number? True Suppose 24602 + 128 = 10*n. Is n composite? False Suppose 4*z = 259 + 105. Suppose t + 0*g - z = 3*g, 0 = 4*g - 16. Is t prime? True Suppose -8*y - 1960 = -3*y. Let x = -98 - 133. Let p = x - y. Is p a prime number? False Let n = 13 - -7. Suppose m - 5*y = -m + 101, -4*y = -n. Let b = -16 + m. Is b a prime number? True Let g(s) = -3*s**3 - 4*s**2 + 55*s - 47. Is g(-15) prime? True Let g be -10 + -1*9/3. Let j = -8 - g. Suppose -j*k = -572 + 187. Is k a composite number? True Is 1018/(-6)*(-108)/(-48)*-4 composite? True Let f(g) = g**2 - 10*g - 9. Suppose -2*s + 3*s - 12 = 2*j, -24 = 4*j - 4*s. Is f(j) a prime number? False Let d(p) = 10*p**2 + 6*p + 1. Let c(y) = 9*y**2 + 5*y + 1. Let x(r) = -7*c(r) + 6*d(r). Let q be x(-2). Is (-3)/(-2)*(-3370)/q a prime number? True Suppose -g = 4, a - 5272 = -3*a - g. Is a a prime number? True Suppose 41917 = -6*o + 114235. Is o composite? True Suppose -18*b + 14*b + 4 = 0. Is 694/((1 - 0)*b/1) prime? False Let y = 13222 + -6765. Is y a prime number? False Let v(o) = 18*o - 11. Let n be (-5)/((-4)/20 - (-8)/(-10)). Is v(n) composite? False Let w(p) = -118*p - 27. Is w(-8) prime? False Let q(k) = 511*k + 2. Let a be q(1). Let o = -262 + a. Is o a prime number? True Let a(i) = i**3 + 15*i**2 + 6*i + 20. Let w be a(-8). Suppose 0 = 3*n - w - 15. Is n prime? False Suppose -134 = -8*o - 46. Suppose 6*x = o*x - 2935. Is x composite? False Let j = 3 + 2. Suppose j*i - 216 = 2*i. Is ((-3048)/i)/(1/(-3)) prime? True Suppose 0 = 3*t - 19346 - 3817. Suppose 5*i - 7876 = -4*z, -i - t - 155 = -4*z. Is z composite? True Suppose 5*w - 9 - 36 = 0. Suppose 0*x - 5 = 3*n - x, -5*x = 2*n + w. Is 88 - n - (3 - 4) a composite number? True Suppose 3*g - 91 - 28 = -4*c, -5*c = g - 25. Let u = g - -118. Is u a prime number? True Suppose -3084513 = -66*a - 1085439. Is a a prime number? False Suppose 612 = 6*o - 906. Is o prime? False Suppose 2*f + 53091 = 5*z - 3762, -3*z + 34115 = -2*f. Is z a composite number? False Let f = 2783 - -4496. Is f a prime number? False Let t(d) = -35*d + 26. Let n(o) = o**2 + 12*o - 3. Let g be n(-12). Is t(g) a composite number? False Suppose 2*g - 566 = -4*k, -k - 258 = -g + 2*k. Suppose 0 = -0*y - 2*y + 5*l - g, 3*y - 4*l = -392. Let r = 3 - y. Is r a composite number? False Let v(y) = -y**3 - 10*y**2 + 11*y + 15. Suppose 7 + 23 = -g - 4*z, -3*g - 3*z - 45 = 0. Let b be v(g). Let j = 282 + b. Is j prime? False Let l(j) = -486*j - 5. Let q = -4 + 2. Is l(q) composite? False Let l(s) = 5*s**3 - 2*s**2 + 2*s - 1. Let k be l(1). Suppose 2*y + k = 0, -o - 42 = 3*o + 5*y. Let w = o + 11. Is w composite? False Let j be (-4)/(96/4) + 33575/(-6). Is ((-25)/50)/(((-6)/j)/(-3)) a composite number? False Let h(q) be the third derivative of 41*q**4/8 - 11*q**3/6 + 2*q**2. Is h(4) prime? False Let v(g) = -252*g + 25. Is v(-6) a composite number? True Suppose -i + 109 = 16. Suppose 2*d = 3*m - 8*m + i, 2*d = -m + 73. Suppose -3*s = d - 133. Is s prime? False Let f = -6424 + 12773. Is f composite? True Suppose -3*r + 2*u = -627, 0 = -r - 5*u + 108 + 118. Is r composite? False Let h(l) = l + 8. Let g = -7 + 3. Let a be h(g). Suppose a*r = -4*n + 160, -2*r = 5*n + 2*r - 195. Is n a prime number? False Let o = 3790 + -2120. Let t = o - 927. Is t a composite number? False Let x = 691 + 34. Suppose 0 = 3*n - 6, 5*p + 5*n = 970 + x. Is p a composite number? False Suppose 4*s + 622 - 2710 = 0. Suppose 2*x + 5*p = 1046, 0*x + x + 3*p = s. Suppose 4*v = 2*g - 366, v = -3*g - 0*v + x. Is g composite? True Suppose -5*j - 2*h = -3*h - 3537, -j + 697 = 5*h. Let o = 1193 - j. Suppose -3*d = 3*v - 474, v + o = d + 2*d. Is d prime? False Let w be (-2 - (-8)/6)/(5/27165). Let b = -1791 - w. Is b prime? True Let y = -17 + 17. Suppose y = -t + 76 + 37. Is t prime? True Let u = 2971 - 4467. Is 87/4*u/(-66) composite? True Let c(n) = -361*n + 20. Is c(-27) a composite number? False Let w = 3821 - 2562. Is w composite? False Suppose 3*r - 4*h - 9 = 0, 4*r - 4*h - 15 = -r. Suppose -4*z - 2*p = -2*z - 1818, r*z = 4*p + 2720. Suppose -6*a + z = -238. Is a a composite number? False Let x = 5 + 106. Suppose -23*b = -20*b - x. Is b prime? True Let g be (-86 - 1)/1*(-2 + 5). Let n = 536 - g. Is n prime? True Let t(h) = -11*h**3 - h**2 - h - 1. Let c be (2/3)/((-5)/(-15)). Let n(o) = -o**3 - 1. Let g(v) = c*n(v) - t(v). Is g(1) a composite number? True Let j(i) = i**2 + 3*i - 9. Let y be j(10). Let p = -31 - y. Let h = p + 279. Is h a composite number? False Suppose 8 = 4*t - 4*s, 3*s = -6*t + t + 18. Suppose 0*y = 3*y - w - 937, -921 = -3*y - t*w. Suppose 2*p - 262 = 5*j + 399, -p - 4*j = -y. Is p a prime number? False Is 28452/32 - (-3)/(-24) composite? True Let t(y) = -12*y**3 - 13*y**2 - 21*y - 22. Let z be t(-10). Suppose z = 9*b - b. Is b composite? False Suppose 0 = -a + 5*o + 6492, -5*a - 4*o + 32433 = -2*o. Is a composite? True Let t be (-16)/(-6)*(-12)/56*-7. Suppose 0 = 2*u - 2*k - 694, u - k = -t*u + 1735. Is u composite? False Suppose 5*s - 2164 = 2271. Is s prime? True Suppose -3*l - 5*q = -154888, 4*q + 206528 = 5*l - l. Is l composite? False Let u = 1950 - 1155. Suppose 2*s = 4*d + 554, 2*d + u = 3*s + 5*d. Suppose -l = -4*t + 257, -7*t - 3*l = -3*t - s. Is t a composite numb
{ "pile_set_name": "DM Mathematics" }
t x = 11.6 - 12. Sort x, -1, 3 in descending order. 3, x, -1 Let r = -2.5 - -0.5. Let s = -0.39 + 7.39. Put r, 0, s in increasing order. r, 0, s Let w = -11 + 16. Let j = -4.7 + w. Let v = j - 0.2. Put 4, 2, v in ascending order. v, 2, 4 Let z(h) = -2*h**2 + 13*h. Let x(r) = -r**2 + 12*r - 1. Let i(l) = -3*x(l) + 2*z(l). Let o be i(-10). Put -2, -3, o in ascending order. -3, -2, o Let h be (2/(-3))/((-4)/6). Let p = 22 + -23. Sort 5, h, p. p, h, 5 Let r = -0.2 - -0.2. Let g = -1 + r. Let w = 99 - 99.1. Sort -2, w, g in ascending order. -2, g, w Let g = -10 - -6. Let t be -3 + (3 + 27)/2. Suppose 0 = -3*r - r - t. Put r, g, 3 in decreasing order. 3, r, g Let p be -1 - (2 + 1 - -1). Let m = -30 - -34. Sort m, -3, p. p, -3, m Let o = 22 - 7. Let t be 12/o + (-3)/(-15). Let m be (-1 - -3)*4/(-2). Put m, t, -5 in descending order. t, m, -5 Let q = -6 + 0. Let k = 10 + q. Let m be (1 - 0) + 2*2. Sort k, 1, m in decreasing order. m, k, 1 Let m be 20/15*(-6)/(-4). Suppose -3*v = g - 16, -g + m*v = 7*v - 26. Put -2, g, 2 in ascending order. -2, g, 2 Let j be (-4)/(8/((-8)/(-2))). Sort j, 3, 0. j, 0, 3 Let y = 13/3 - 4. Let d = 0.9 - 0.5. Put d, y, -2 in descending order. d, y, -2 Let g(c) = c**2 + 7*c + 2. Let b be g(-7). Suppose 0 = -b*x + 2 + 8. Sort x, 4, 1 in descending order. x, 4, 1 Suppose -3*z = -6*z - 2*g - 3, 0 = -z + 4*g - 1. Suppose -3*j + 12 = -7*j. Put z, 4, j in decreasing order. 4, z, j Let d(i) = -2*i - 3. Let k be d(-2). Let x be (3/3)/((-7)/21). Let l be 3 + -2 - 4 - x. Sort 3, k, l. l, k, 3 Let m = 17 + -18. Put m, -3, 0 in descending order. 0, m, -3 Suppose -5*v + 20 = 5. Sort 4, -2, v in decreasing order. 4, v, -2 Let x(a) = -a**2 + 4*a - 5. Let i be x(4). Let n = i + 9. Let d be (-1 + 0 - -4)*-1. Sort n, d, 2. d, 2, n Let p = 37/93 + -2/31. Sort -2/11, 1, 4, p in increasing order. -2/11, p, 1, 4 Let h(y) = -y**3 + 4*y**2 - 2*y. Let q be h(3). Put -8, 0, q in decreasing order. q, 0, -8 Suppose -5*x - 105 + 15 = 0. Sort 1, 0, x in ascending order. x, 0, 1 Let g(i) = -i + 3. Let k(z) = z**2 - z + 4. Let p be k(0). Let f be g(p). Let x(v) = -v**3 + 4*v**2 - 2*v + 5. Let u be x(4). Put u, f, -5 in increasing order. -5, u, f Let k = -0.2 + 1.2. Let g = 0 - k. Let w = g + 0.7. Sort -5, w, 0.5 in increasing order. -5, w, 0.5 Suppose -s - 8 = 3*s, 0 = 3*w - 3*s - 9. Put w, 0, 4, -1 in descending order. 4, w, 0, -1 Suppose 1 - 5 = -4*i - 2*q, -i = -q - 4. Suppose b - 4*u - 9 = 0, 5*b + 3*u + 18 = 2*b. Sort -1, b, i in decreasing order. i, -1, b Let o = -0.2 + -2.8. Let v = -5/98 - -61/98. Sort o, -0.8, v in decreasing order. v, -0.8, o Suppose c + 4*n = -2*c - 26, -3*c - n - 11 = 0. Let x = -6 - -3. Put 5, c, x in decreasing order. 5, c, x Let q = -0.06 + 0.46. Let r = 6.6 - 6. Let v = 0.1 - r. Sort q, v, -3 in increasing order. -3, v, q Let h be 3 + 1 + -3 + 3. Suppose -5*t - 5 = 0, -h*u - t = -2*u - 3. Put u, 3, -2/7 in descending order. 3, u, -2/7 Let z(y) = y + 2. Let m be z(10). Suppose 18 + m = 2*s. Let f be (-2)/4*(-10)/s. Sort f, -1/4, 3 in decreasing order. 3, f, -1/4 Suppose 5*c = -p + 10, -4*c = -2*p + 3*p - 9. Sort 0, -4, c in decreasing order. c, 0, -4 Let c = -2.4 + -0.6. Let x = -2 + c. Sort -0.1, x, 0.5 in increasing order. x, -0.1, 0.5 Let f(t) = -t**2 + t + 2. Suppose 3*u - 4*u = 0. Let z be f(u). Sort z, -4, 0. -4, 0, z Let t = -0.6 + 0.3. Let y be 5/3*40/100. Put t, -0.5, y in increasing order. -0.5, t, y Suppose -8 = -5*p - 48. Let o = -4 - p. Sort -5, o, 5. -5, o, 5 Suppose -3*y = y + 3*m - 14, 3*y - m - 4 = 0. Let q be ((-4)/30)/(y/6). Let d be 1 + 1 - (-2)/(-1). Put q, 2/5, d in decreasing order. 2/5, d, q Let r be (0/(-2))/(-3) + -4. Sort -2/9, 2/3, r in decreasing order. 2/3, -2/9, r Suppose 3*r = -4*f + 35, 9 = 3*r + 3*f - 21. Suppose 0*k - 15 = r*k, -m = k + 6. Suppose 4*s + 1 - 13 = 0. Put s, m, 5 in increasing order. m, s, 5 Suppose -2*p + 4*f = p + 35, 5*f = -5*p. Sort 10, p, -4 in decreasing order. 10, -4, p Let a be 81/(-24) + (-9)/(-24). Let k = -3 + 6. Put -4, k, a in decreasing order. k, a, -4 Let h = 0.98 - -0.02. Let x = h + 0. Sort x, 0.1, 0.3 in ascending order. 0.1, 0.3, x Let f be 6/9*6/(-5). Let p be -1*(-48)/(-45)*3. Let a = p - -47/10. Sort f, a, 1/4. f, 1/4, a Let m = 0.24 - 2.24. Put -2/3, -3, m in descending order. -2/3, m, -3 Let t be (12/(-70))/((-3)/5). Put t, -4, -1/6 in descending order. t, -1/6, -4 Let f be (-22)/5 + (-6)/(-15). Let o be (f + 6 + -2)/2. Put -2, o, -2/5 in decreasing order. o, -2/5, -2 Let x = -2.6 + 2.1. Put 0, 5, x in descending order. 5, 0, x Let h(v) = v**3 - 10*v**2 + v - 12. Let r be h(10). Suppose -2*o = -5*y, -2*y = o - 3 - 6. Suppose -2*g = 3*g + o. Put g, 1, r in decreasing order. 1, g, r Let k = 24 + -28. Put -5, k, -1, -3 in increasing order. -5, k, -3, -1 Suppose v - 18 = 4*c + 3, -5*c - v = 24. Let u(d) = d**3 - 5*d**2 - 6*d + 5. Let m be u(6). Sort -3, c, m in ascending order. c, -3, m Suppose 4*y + 2*x + 3*x = -10, -2*y + 4 = -2*x. Suppose 0 = 2*c - c - 2. Sort y, c, 5 in ascending order. y, c, 5 Let w be 4/(-6) - (-2)/(-6). Suppose 0 = -4*o - 12, -5*o - 6 + 3 = 2*c. Put -5, c, w in decreasing order. c, w, -5 Let n = -11 - -8. Sort n, 10, -0.4. n, -0.4, 10 Let c = -6.2 + 6. Sort -0.1, c, -5. -5, c, -0.1 Suppose -7*y = -3*y + 56. Let k be y/(-35) - 26/(-10). Let t be (-3)/(-2 + 3) + k. Put t, -5, 1 in decreasing order. 1, t, -5 Let r be (4/5)/(((-36)/15)/4). Sort 0.1, r, -12, 0.4. -12, r, 0.1, 0.4 Let v = -5.71 - -6. Let l = 0.01 + v. Sort -5, l, -0.5 in increasing order. -5, -0.5, l Suppose -2*s = s - 12. Let h be -1 - 1 - 8/s. Suppose 6 = -3*w - 0, 0 = 2*a - 5*w - 8. Put -2, a, h in decreasing order. a, -2, h Suppose -30*r = -27*r - 15. Suppose -8 = -0*s - 4*s. Sort r, s, 0 in descending order. r, s, 0 Suppose y = -4*f - 4*y + 20, -3*y + 12 = 5*f. Suppose 3*h - 12 = f, -5*r - 4*h + 15 = -9*h. Put r, 2, 3 in decreasing order. r, 3, 2 Let u(j) be the third derivative of j**4/24 - j**3/3 - 3*j**2. Let s be u(5). Suppose 0 = -3*o + 12 - s. Put 4, o, -1 in increasing order. -1, o, 4 Let v = 156 - 159. Sort v, 1/15, -5/3 in decreasing order. 1/15, -5/3, v Let a = 172 + -167. Sort 2/13, a, 3/2 in decreasing order. a, 3/2, 2/13 Suppose -3*s + 33 = -6*s. Let b = 13 + s. Put b, 4, 1 in decreasing order. 4, b, 1 Suppose 0 = 4*o - 2*m + 9 + 1, 5*m - 25 = 0. Let q = 8 + -5. Put o, -4, q in ascending order. -4, o, q Let f = -4 - -22/5. Sort 1/2, f, -5 in decreasing order. 1/2, f, -5 Let g(k) = k**2 - 1. Let a be g(1). Sort a, -1/4, 3/2, 5 in ascending order. -1/4, a, 3/2, 5 Let p = -0.6 + -12.4. Let g = p - -10. Put g, -6/5, -2/11 in descending order. -2/11, -6/5, g Let y(a) = -2*a + 12. Let d be y(5). Suppose 3*t = -7 - 5. Let z(m) = m**2 - 5*m - 6. Let r be z(6). Sort d, t, r in ascending order. t, r, d Let h(c) = -c. Let o be h(-6). Suppose -n + o = 2*n. Sort -2/7, n, 1/5 in decreasing order. n, 1/5, -2/7 Let y(x) = -4*x - 4. Let q be y(-6). Suppose -q = -m + 5*a, 5*m - a - 1 = 3. Put 0.3, m, 3/7 in decreasing order. 3/7, 0.3, m Suppose -4*c + 10 + 10 = 0. Let t = -4.9 + -0.1. Put c, 3, t in ascending order. t, 3, c Let v = -2 + 4. Let l = v - 4. Let g be 0/(2 - -1) + 2. Put g, 1, l in ascending order. l, 1, g Let j = -43.6 - -44. Sort 0.3, j, -1.4 in ascending order. -1.4, 0.3, j Suppose o - 2*o + 1 = 0. Suppose 0 = 4*r - 4*w - 56, 2*w + 2*w = -20. Suppose 0 = 6*h - h + 2*i + 21, -2*h - r = i. Sort h, o, 2 in decreasing order. 2, o, h Let y(z) = -3*z - 3. Let r be y(-3). Let f = -8 + r. Suppose -4*b - 4*s = -16, b = 4*s + 8 + 1. Sort f, -3, b in ascending order. -3, f, b Let o be 9/(-4) - 23/(-92). Sort o, -28, 5, 2 in descending order. 5, 2, o, -28 Let y = 5 - 21. Let s = y + 12. Sort -3, s, 5 in descending order. 5, -3, s Suppose 3*h = 5*l - 0*l, 4*l - 5*h = 0. Suppose l = 2*y - 3*r + 6 + 9, -y + 3 = 2*r. Let c = 3 + -2. Sort y, -1, c in decreasing order. c, -1, y Suppose -9*z - 8 = -5*z. Sort z, -4, 2 in decreasing order. 2, z, -4 Let l(p) = -p**2 + 6*p - 4. Let m be l(4). Sort 5, m, -3 in increasing order. -3, m, 5 Let p(d) = -d + 11. Let y be p(8). Suppose -y*x - 8 = -x. Suppose 0 = 2*g - 5*g. Sort x, 2, g in decreasing order. 2, g, x Let z = -32 + 16. Let j = 15 + z. Sort -0.5, j, 1/3 in increasing order. j, -0.5, 1/3 Let h be (-3 - -2)*1*0. Suppose -1
{ "pile_set_name": "DM Mathematics" }
b of sequence izj when three letters picked without replacement from zzijijjbij? 1/30 What is prob of sequence cf when two letters picked without replacement from {c: 5, f: 3}? 15/56 Four letters picked without replacement from uzzguzlzbkkl. What is prob of sequence ukgb? 1/2970 What is prob of sequence npp when three letters picked without replacement from {n: 5, p: 5}? 5/36 Two letters picked without replacement from nddnnndddddmddddndn. Give prob of sequence mn. 1/57 Calculate prob of sequence jji when three letters picked without replacement from {t: 9, h: 2, j: 2, i: 1}. 1/1092 What is prob of sequence koko when four letters picked without replacement from oksssoksokssosss? 3/1820 Three letters picked without replacement from {m: 4, h: 4, n: 2}. What is prob of sequence hhm? 1/15 What is prob of sequence cuz when three letters picked without replacement from ccmummcmczzmmmmucc? 1/204 Two letters picked without replacement from {r: 2, m: 1, s: 1, n: 1, h: 3, u: 4}. Give prob of sequence hs. 1/44 What is prob of sequence bxq when three letters picked without replacement from xxxbqyquxxq? 1/66 Calculate prob of sequence herr when four letters picked without replacement from erlhre. 1/90 What is prob of sequence txjx when four letters picked without replacement from {x: 2, t: 1, r: 1, f: 2, j: 1, g: 1}? 1/840 Two letters picked without replacement from {u: 3, t: 2, v: 5, r: 7, k: 2, p: 1}. What is prob of sequence vv? 1/19 Two letters picked without replacement from bpkybffffzfbb. What is prob of sequence zf? 5/156 Calculate prob of sequence izv when three letters picked without replacement from {g: 1, i: 1, k: 1, z: 1, v: 1}. 1/60 Four letters picked without replacement from {s: 2, h: 3, y: 3, b: 1, z: 1, f: 2}. What is prob of sequence fzfh? 1/1980 What is prob of sequence nfn when three letters picked without replacement from {f: 5, n: 9}? 15/91 Two letters picked without replacement from {m: 3}. What is prob of sequence mm? 1 Two letters picked without replacement from jui. Give prob of sequence iu. 1/6 Two letters picked without replacement from fffwnwfflz. What is prob of sequence wl? 1/45 What is prob of sequence gb when two letters picked without replacement from {v: 3, g: 4, b: 2, z: 9}? 4/153 Two letters picked without replacement from amaamugvaa. What is prob of sequence ug? 1/90 Four letters picked without replacement from {i: 1, x: 1, z: 11}. Give prob of sequence zzzx. 3/52 What is prob of sequence rqo when three letters picked without replacement from {q: 1, o: 1, r: 2}? 1/12 Four letters picked without replacement from {z: 2, v: 6, b: 4}. What is prob of sequence bzvz? 2/495 Two letters picked without replacement from {n: 1, g: 3, t: 4}. Give prob of sequence gt. 3/14 Three letters picked without replacement from {n: 1, v: 2}. Give prob of sequence vvn. 1/3 Four letters picked without replacement from tbttbtttttbbbbtb. Give prob of sequence tbbt. 9/130 What is prob of sequence dj when two letters picked without replacement from {d: 1, b: 1, u: 3, j: 1, g: 1}? 1/42 What is prob of sequence ww when two letters picked without replacement from {w: 2, y: 1, m: 1, u: 1}? 1/10 Calculate prob of sequence gg when two letters picked without replacement from dggrrwrdld. 1/45 Calculate prob of sequence kg when two letters picked without replacement from mnkcggx. 1/21 Calculate prob of sequence yjjo when four letters picked without replacement from yjjyjjoyjjyo. 2/99 What is prob of sequence rrs when three letters picked without replacement from {c: 6, r: 10, s: 1}? 3/136 Four letters picked without replacement from {p: 6, f: 4, i: 1, g: 3, x: 1}. Give prob of sequence ixgf. 1/2730 Calculate prob of sequence knk when three letters picked without replacement from ffffnnffkfffknfff. 1/680 Calculate prob of sequence dlf when three letters picked without replacement from nddnxfnedennl. 1/572 Three letters picked without replacement from {w: 8, s: 2, g: 2, p: 3, b: 5}. What is prob of sequence bpg? 1/228 What is prob of sequence iwz when three letters picked without replacement from {i: 3, w: 1, z: 6, b: 3, e: 2}? 3/455 Two letters picked without replacement from jpdldjjpj. Give prob of sequence pl. 1/36 Three letters picked without replacement from {x: 2, z: 2, s: 2, g: 3}. Give prob of sequence sxs. 1/126 What is prob of sequence gpqp when four letters picked without replacement from {p: 4, g: 2, q: 7}? 7/715 What is prob of sequence cjj when three letters picked without replacement from jjcjcjjccjcjjcccjjc? 45/323 Calculate prob of sequence ggs when three letters picked without replacement from vvvvvvvgfsvvgfgv. 1/560 Two letters picked without replacement from {x: 4, e: 1, r: 3}. What is prob of sequence er? 3/56 What is prob of sequence kbwk when four letters picked without replacement from whkkwhkwwhhhwhhbkhhh? 1/1938 What is prob of sequence plll when four letters picked without replacement from {p: 3, l: 7}? 1/8 Three letters picked without replacement from {v: 4, t: 8, z: 5, y: 2}. What is prob of sequence yvy? 4/2907 Calculate prob of sequence rpr when three letters picked without replacement from ppzpppppipprz. 0 Calculate prob of sequence tt when two letters picked without replacement from ttttt. 1 Two letters picked without replacement from {s: 5, r: 6, x: 1, a: 4, v: 1, n: 3}. Give prob of sequence sx. 1/76 Calculate prob of sequence swz when three letters picked without replacement from wzzrzrwsswwzzzzzrzz. 40/2907 Two letters picked without replacement from {j: 7, w: 4}. What is prob of sequence ww? 6/55 What is prob of sequence am when two letters picked without replacement from {y: 4, p: 2, a: 2, u: 1, r: 9, m: 2}? 1/95 Calculate prob of sequence qqa when three letters picked without replacement from {u: 4, a: 7, q: 4}. 2/65 Two letters picked without replacement from ngycwgd. Give prob of sequence gc. 1/21 What is prob of sequence ur when two letters picked without replacement from bpbmbrbbbubbmpbbmrp? 1/171 Two letters picked without replacement from {j: 1, f: 1, h: 3, e: 2, g: 3, v: 1}. What is prob of sequence fh? 3/110 Calculate prob of sequence cagm when four letters picked without replacement from {g: 1, a: 1, m: 2, c: 2, b: 1, y: 2}. 1/756 What is prob of sequence pup when three letters picked without replacement from {u: 3, p: 11}? 55/364 Four letters picked without replacement from ooooooooo. What is prob of sequence oooo? 1 What is prob of sequence eey when three letters picked without replacement from {e: 4, y: 2, l: 1, n: 1, i: 1}? 1/21 Calculate prob of sequence zz when two letters picked without replacement from {z: 5}. 1 What is prob of sequence gs when two letters picked without replacement from {s: 8, g: 4, l: 8}? 8/95 Calculate prob of sequence bhja when four letters picked without replacement from ahahhjjaajhbaajjhh. 1/408 What is prob of sequence nnn when three letters picked without replacement from ununrnhzn? 1/21 What is prob of sequence sh when two letters picked without replacement from oohdvvwwhoso? 1/66 Four letters picked without replacement from ccbebbecb. Give prob of sequence becb. 1/42 What is prob of sequence pqff when four letters picked without replacement from {a: 1, w: 6, f: 5, y: 6, p: 1, q: 1}? 1/5814 Two letters picked without replacement from kkljkkkklkljl. What is prob of sequence kj? 7/78 What is prob of sequence ltt when three letters picked without replacement from tltltllltlltll? 15/182 Two letters picked without replacement from {t: 5, v: 5}. Give prob of sequence tv. 5/18 Two letters picked without replacement from {n: 2, a: 1, w: 1, d: 3}. Give prob of sequence nw. 1/21 Calculate prob of sequence fzs when three letters picked without replacement from {q: 4, s: 6, g: 2, z: 4, f: 2, v: 2}. 2/285 Calculate prob of sequence nj when two letters picked without replacement from jmnmjmmjijnnj. 5/52 What is prob of sequence hgg when three letters picked without replacement from hggjhsg? 2/35 Four letters picked without replacement from {z: 12, s: 3}. Give prob of sequence sszz. 11/455 Three letters picked without replacement from {q: 1, f: 5, z: 3, p: 3, n: 4, y: 1}. Give prob of sequence yfn. 1/204 Three letters picked without replacement from {f: 1, i: 6, z: 8}. What is prob of s
{ "pile_set_name": "DM Mathematics" }
2 - 8*j - 6. Give -6*a(z) + 17*d(z). -z**2 + z + 2 Let o(h) be the first derivative of -4*h**3/3 - 2*h + 462. Let d(p) = p**2 - 4. Let n be d(3). Suppose 4*l + n = 1. Let m(s) = -s**2. Give l*o(b) + 3*m(b). b**2 + 2 Let w(u) = 22*u**2 - 6*u + 10. Let d = -28 - -32. Suppose 5 = m + d*n, 0*m + 5 = m + 2*n. Let f(k) = -7*k**2 + 2*k - 3. What is m*w(t) + 16*f(t)? -2*t**2 + 2*t + 2 Let b(j) = 4. Let v(y) = 3. Let c(w) = 5*b(w) - 6*v(w). Let q(h) be the first derivative of 0*h - 1/2*h**2 - 8. What is -c(s) + q(s)? -s - 2 Suppose 34 - 14 = 5*x, 0 = 3*u + 5*x - 23. Let t(s) = s**3 + s**2. Let a(v) = -v**3 + v**2. Calculate u*a(j) - t(j). -2*j**3 Let l(n) = n**2 - n - 3. Let m(k) = -2*k**2 + 5*k - 5. Calculate -3*l(b) - m(b). -b**2 - 2*b + 14 Let a be ((-30)/4)/((-2)/4). Let n(w) = 20*w. Let c(f) = -5*f - 2. Let s(q) = -12*q - 5. Let x(y) = 5*c(y) - 2*s(y). Calculate a*x(l) + n(l). 5*l Let o(y) = y**3 - 13*y**2 + 3*y - 38. Let x be o(13). Let l(w) = w**2 - w. Let f = -8 + 11. Let q(n) = n**f + n + 3*n - 3*n**2 - n**2. What is x*q(t) + 4*l(t)? t**3 Suppose -9*t - 23 = -77. Let c(o) = -7*o + 5. Let h(s) = -15*s + 10. What is t*h(v) - 13*c(v)? v - 5 Let i = -3 + 4. Let r(c) = -i - 5*c**2 + 5 + c + 4*c**2 - 3. Let a(f) = -f**2 + 13*f + 1. Let q be a(13). Let g(y) = -y**2 - y - 1. Determine q*r(k) + g(k). -2*k**2 Let p(s) = 2*s**2 + 7. Let d be 192/(-528) - 96/(-22). Let g(v) = -7*v**2 - 8. Let h(x) = x**2. Let t(a) = g(a) + 4*h(a). Give d*t(o) + 5*p(o). -2*o**2 + 3 Let g(b) = -274*b - 64. Let c(q) = -55*q - 12. Give 11*c(t) - 2*g(t). -57*t - 4 Let h(u) = 3*u**2 - 2*u + 2. Let o(r) = -r + 4. Let y be o(6). Suppose 4*p - 14 = -3*p. Let d(c) = -c + 7*c**2 + 0 + 7 - p - 4*c. What is y*d(f) + 5*h(f)? f**2 Let f(r) = 2*r**3 + 3*r**2 - r - 1. Let v(d) be the second derivative of -d**5/20 + d**4/12 + d**3/6 + d**2/2 - 313*d. What is f(t) + v(t)? t**3 + 4*t**2 Let t(c) = -66*c + 26. Let w(k) = 32*k - 14. Give -3*t(g) - 5*w(g). 38*g - 8 Let w be 7 - (1 - (2 - 3)). Let y(p) = 2*p + 5. Let j(h) = 2*h + 4. Suppose -4*q + 30 = v, 4*v - 1 = -4*q + 35. Suppose q*g = 6*g - 4. Give g*y(o) + w*j(o). 2*o Let z(k) = -6*k**3 + 12*k**2 + 2*k. Let h(l) = 29*l**3 - 61*l**2 - 10*l. Determine -2*h(r) - 11*z(r). 8*r**3 - 10*r**2 - 2*r Let i(r) = -13*r**3 - 9*r**2 - 9*r - 9. Let m = 2 - -7. Let l(p) = 3*p**3 + 2*p**2 + 2*p + 2. Let b be 2 + 0 + 1 - 1. Calculate b*i(a) + m*l(a). a**3 Let h be 198/(-528) - (-58)/(-16). Let d(x) = -x. Let w(y) = -7*y + 1. Determine h*d(u) + w(u). -3*u + 1 Suppose d = -5*a + 12, -4*d + 5*a + 0 = 2. Let p(f) = -39 + 18 + f + 20. Let k(t) = t + 1. Give d*p(h) - k(h). h - 3 Let p(r) = -14*r - 2. Let a(v) = 16*v + 3. Calculate 3*a(h) + 4*p(h). -8*h + 1 Let x(y) = 5*y**2 - 6*y - 17. Let h(c) = 2*c**3 - 34*c**2 + c - 23. Let u be h(17). Let n(l) = 6*l**2 - 7*l - 18. What is u*n(m) + 7*x(m)? -m**2 - 11 Let a(b) = -6 - 12 + 9*b + 7. Let s be a(0). Let g(y) = 9*y + 7. Let r(c) = -5*c - 4. Determine s*r(q) - 6*g(q). q + 2 Let g(s) = -4*s**3 - s - 1. Let z(f) be the first derivative of 7*f**4/4 + f**2 + 3*f + 327. Give -5*g(j) - 3*z(j). -j**3 - j - 4 Suppose -3*g = 2*g - 15. Let t(c) = -4 + 1 - c**g + 2. Let h(s) = s**3 - 13*s**2 - 48*s - 2. Let w be h(16). Let z(r) = r + 1. Calculate w*z(y) - 2*t(y). 2*y**3 - 2*y Let a(y) = -4*y**3 + y**2 - 5. Let i(w) = 5*w**3 - 2*w**2 - w + 6. What is -3*a(k) - 2*i(k)? 2*k**3 + k**2 + 2*k + 3 Let k(v) be the second derivative of v**3/3 - 9*v**2/2 - 2*v. Let r(x) = x - 4. Let c be -5 - -1*(0 + -2 + 2). Calculate c*r(m) + 2*k(m). -m + 2 Let s(v) = 563*v + 20. Let c(i) = 281*i + 8. What is 5*c(a) - 2*s(a)? 279*a Let k(j) = -j. Suppose -5*p + 2*p + 13 = 4*g, -27 = -g + 4*p. Let f(n) = -2*n**2 - 2*n**3 + 9*n - 20*n + g*n + 8*n. Calculate -f(c) - 5*k(c). 2*c**3 + 2*c**2 + c Let i(l) = -7*l**2 - 3. Let x(z) = 8*z**2 + 2. Suppose 16*t + 3 = -29. Give t*i(f) - 3*x(f). -10*f**2 Let b(x) = -11*x**3 + 4*x**2 + 7*x - 1. Let i(z) = 10*z**3 - 3*z**2 - 6*z. Give -3*b(w) - 4*i(w). -7*w**3 + 3*w + 3 Let c(n) = -9*n**3 + 15*n - 15. Suppose 3*k - 5*w = -18, 5*k - 3*w + 15 - 1 = 0. Let m(y) = -y**3 + y - 1. Give k*c(h) + 15*m(h). -6*h**3 Let h(m) = 5*m - 3*m + 3*m + m - 1 - 5*m. Let z(w) = 5*w - 8. Give 6*h(g) - z(g). g + 2 Let t(s) = -1425*s**3 + 23*s**2 - 17*s - 17. Let b(r) = -474*r**3 + 8*r**2 - 6*r - 6. What is 17*b(o) - 6*t(o)? 492*o**3 - 2*o**2 Let f(b) = 232*b - 2 - 670*b + 224*b + 223*b. Let c(s) = -9*s + 1. Give -4*c(r) - 3*f(r). 9*r + 2 Let m(h) = 3*h + 2. Let i(v) = -v + 36. Let y(w) = 6. Let l(r) = i(r) - 6*y(r). What is -2*l(x) + m(x)? 5*x + 2 Let f(t) = -2*t - 1. Let i(o) = 7*o - 4. What is 2*f(x) + i(x)? 3*x - 6 Let n(p) = -p**3 - p**2 - p + 1. Let m = 41 + -39. Let d(h) = -10*h**3 + 81 + 4*h**m - 8*h - 73 - 12*h**2. Calculate d(y) - 8*n(y). -2*y**3 Let a(o) be the third derivative of -7*o**5/30 - o**4/24 - 11*o**3/6 + 2*o**2 - 1637*o. Let q(n) = -3 + 1 + 5*n**2 + 6. Calculate 4*a(t) + 11*q(t). -t**2 - 4*t Let i(y) = 3*y**2 - 7*y. Suppose -5*p + 27 = 2. Let b(a) = 2*a**2 - 6*a. Let g be (-1)/(-5) - 899/145. Calculate g*b(j) + p*i(j). 3*j**2 + j Let i(b) = -b - 45. Let o(x) = -44. Give -2*i(q) + 3*o(q). 2*q - 42 Let v(y) = -35*y - 19. Let w(l) = -17*l - 8. Give 2*v(i) - 5*w(i). 15*i + 2 Let o(j) = 4*j**3 - 29*j + 12. Let x(p) = -8*p**3 + 59*p - 26. What is -13*o(w) - 6*x(w)? -4*w**3 + 23*w Let l(r) = -423*r + 24. Let w(g) = 141*g - 9. What is -3*l(o) - 8*w(o)? 141*o Let r(c) = 5*c**3 - 8*c**2 + 14*c - 2. Let x(h) = h**3 + h**2 + h. Let o(v) = -r(v) + x(v). Let a(b) = -2*b**3 + 4*b**2 - 6*b + 1. Determine 9*a(w) - 4*o(w). -2*w**3 - 2*w + 1 Let c(n) = -n**2 + 3*n - 5. Let b(h) be the second derivative of -h**3/3 + 2*h**2 - h. Let m be (-43)/(-15) + 76/570. Determine m*b(x) + 2*c(x). -2*x**2 + 2 Let m(g) = -g**3 + 2. Let p(k) = -k**3 - 17*k**2 + 4. Determine -3*m(l) + p(l). 2*l**3 - 17*l**2 - 2 Let x(j) = 8*j**2 - 6*j - 1. Let u(i) = 3*i**2 - 2*i - 1. What is -5*u(y) + 2*x(y)? y**2 - 2*y + 3 Let i(b) = -3*b**2 - 128*b + 2. Let p(t) = -4*t**2 - 130*t + 3. Calculate 3*i(a) - 2*p(a). -a**2 - 124*a Let m(i) = -3*i + 23. Let d be m(7). Let a(t) = -3*t**2 + d*t + 1 + 11*t**3 + 14*t**3 - 29*t**3. Let x(l) = 5*l**3 + 4*l**2 - 2*l - 2. Give 4*a(j) + 3*x(j). -j**3 + 2*j - 2 Let l(q) = -10*q**3 - 7*q**2 - 5*q. Suppose 0 = -k + 2*c - 4 + 1, 3*k + 14 = c. Let n(b) = 5*b**3 + 3*b**2 + 2*b. What is k*n(j) - 2*l(j)? -5*j**3 - j**2 Let s(d) = 4*d**3 - 2*d**2 - 2*d - 5. Let c(y) = -12*y**3 + 6*y**2 + 5*y + 15. Calculate 4*c(o) + 11*s(o). -4*o**3 + 2*o**2 - 2*o + 5 Let a(q) = -30*q**2 - 18*q - 15. Let c(i) = i**2 + i + 1. Determine -a(f) - 18*c(f). 12*f**2 - 3 Let n = -73 - -78. Let f(l) = -5*l + 4. Let w(v) = -v. Let x(s) = -f(s) + 4*w(s). Let q(o) = -2*o + 7. Determine n*x(h) + 3*q(h). -h + 1 Let n(p) = -9*p + 1. Suppose 4*a - 4*c - 40 = 0, 0 = -3*a - c + 2*c + 20. Suppose -47 + 132 = a*s. Let f(z) = 26*z - 3. Calculate s*n(v) + 6*f(v). 3*v - 1 Let k be (-4)/(308/(-968) - (-4)/(-22)). Let m(o) = o**3 - 8*o**2 - 8. Let s(t) = 3 + 2*t**2 + t**2 + 0. Calculate k*s(j) + 3*m(j). 3*j**3 Let d(m) = -4*m - 5. Let h(f) = 11*f + 14. Suppose 0 = 5*x - 28 + 58. Give x*h(k) - 17*d(k). 2*k + 1 Let k be (12*(-10)/(-120))/((-2)/14). Let j(s) = 5*s**3 + 6*s. Let m(l) = -5*l**3 - 7*l. Determine k*j(h) - 6*m(h). -5*h**3 Let n(h) be the first derivative of h**3/3 - 276. Let f(o) = -o**2. What is 4*f(r) + n(r)? -3*r**2 Let a(j) = -j - 1. Let m = -75 + 80. Let o(d) = 0 - m + d**2 + 56*d - 58*d. Calculate -3*a(w) + o(w). w**2 + w - 2 Let n = -18 + 12. Let c(f) = 2*f + 4. Let y(m) = -53 - 10*m + 55 + 11*m. Calculate n*c(b) + 13*y(b). b + 2 Let x(t) = -t + 1. Let h(g) = 259*g + 2. Determine h(q) - 4*x(q). 263*q - 2 Let t(y) = -y - 1. Let u(s) = -12*s - 16. Let i(a) = -16*t(a) + u(a). Let d(o) = 11*o - 1. Let m(c) = 11*c - 3. Let l be m(1). Determine l*i(j) - 3*d(j). -j + 3 Let i(s) = -3*s**2 - 2. Let b(a) be the second derivative of -5*a**4/6 - 7*a**2/2 - 43*a + 1. Let u(x) = -x - 2. Let r be u(-9). Calculate r*i(h) - 2*b(h). -h**2 Let c(l) = -42*l**3 + 12*l**2 - 8*l + 36. Let z(x) = 14*x**3 - 4*x**2 + 3*x - 13. What is 4*c(t) + 11*z(t)? -14*t**3 + 4*t**2 + t + 1 Let f(j) = 5*j**3 - 3*j**2 - 24*j + 11. Let p(b) = -9*b**3 + 5*b**2 + 47*b - 18. Give 5*f(z) + 3*p(z). -2*z**3 +
{ "pile_set_name": "DM Mathematics" }
What is -20021032 (base 4) in base 16? -824e -490 (base 15) to base 16 -40b Convert 110211 (base 3) to base 14. 1aa Convert 11a1a (base 14) to base 9. 65157 What is 179a5 (base 14) in base 4? 32202031 What is -11846 (base 13) in base 3? -1122010102 Convert 11100110110 (base 2) to base 10. 1846 What is 101210 (base 3) in base 14? 16b 28a (base 11) to base 8 524 Convert -45066 (base 7) to base 6. -124343 What is 54 (base 6) in base 9? 37 -13416 (base 10) to base 13 -6150 11098 (base 12) to base 7 122555 Convert 17435 (base 10) to base 8. 42033 4681 (base 15) to base 11 10280 Convert -100121 (base 4) to base 13. -629 Convert b1 (base 14) to base 9. 182 Convert 20223200 (base 4) to base 5. 2114202 Convert 2c7 (base 13) to base 6. 2153 Convert 10111100110100 (base 2) to base 16. 2f34 -106324 (base 7) to base 10 -19030 -430340 (base 5) to base 16 -3886 Convert 101012102 (base 3) to base 8. 16414 What is -18d7 (base 14) in base 4? -1012111 What is 2880 (base 10) in base 14? 109a What is 1cc1 (base 15) in base 16? 1870 Convert 10a5 (base 11) to base 10. 1446 What is -17651 (base 8) in base 6? -101305 What is 20000101 (base 3) in base 14? 1852 -22836 (base 9) to base 13 -6c3c Convert 142133 (base 5) to base 3. 22010012 Convert -25139 (base 10) to base 2. -110001000110011 What is 216 (base 12) in base 10? 306 Convert 101011 (base 3) to base 16. 112 cb8 (base 13) to base 8 4203 What is -2486 (base 10) in base 8? -4666 164 (base 7) to base 5 340 What is -10117 (base 8) in base 9? -5648 What is 10011101101 (base 2) in base 14? 661 What is -13330301 (base 4) in base 10? -32561 1110010012 (base 3) to base 12 14605 What is -393b (base 14) in base 13? -4760 -13215 (base 6) to base 2 -11111101011 -3436 (base 13) to base 6 -53504 -6077 (base 9) to base 15 -14b4 What is -1c (base 15) in base 12? -23 What is -1110222 (base 3) in base 2? -10000110111 What is 1001001001011 (base 2) in base 5? 122213 What is 27d (base 15) in base 3? 210001 What is -2122100 (base 4) in base 10? -9872 Convert 101022011 (base 3) to base 7. 30616 What is -3225 (base 8) in base 14? -885 What is -244 (base 5) in base 10? -74 474 (base 16) to base 12 7b0 -441 (base 15) to base 13 -58c -314232 (base 6) to base 8 -61754 7959 (base 12) to base 16 3495 What is -1412 (base 8) in base 14? -3d8 -1c59 (base 14) to base 13 -2481 Convert -141 (base 7) to base 5. -303 What is -19 (base 10) in base 13? -16 13151 (base 12) to base 16 660d Convert 11441 (base 5) to base 11. 722 110010100001 (base 2) to base 10 3233 -d725 (base 14) to base 8 -110325 What is 223 (base 11) in base 5? 2032 2151 (base 7) to base 8 1403 What is 1125 (base 6) in base 2? 100001101 ac67 (base 14) to base 13 107a9 280 (base 10) to base 5 2110 -20025 (base 6) to base 8 -5061 -131145 (base 8) to base 14 -12901 Convert 540544 (base 6) to base 15. d1b7 -222664 (base 7) to base 6 -502334 Convert 2221210 (base 3) to base 9. 2853 -34342 (base 5) to base 3 -10101120 353465 (base 7) to base 14 192dc Convert -26464 (base 7) to base 15. -2187 -3113321 (base 4) to base 3 -200221202 -2220 (base 3) to base 12 -66 What is 3111 (base 4) in base 16? d5 25 (base 7) to base 15 14 Convert 221011102 (base 3) to base 15. 567e 1312445 (base 6) to base 3 10122121102 Convert 13444 (base 8) to base 6. 43232 -1040 (base 5) to base 6 -401 What is -1885 (base 9) in base 3? -1222212 -7b0 (base 12) to base 2 -10001110100 What is -332 (base 10) in base 11? -282 What is -20303 (base 4) in base 7? -1433 1313 (base 5) to base 9 251 What is -2721 (base 11) in base 12? -2064 Convert 15a (base 16) to base 5. 2341 -1603 (base 13) to base 6 -22514 -303 (base 10) to base 15 -153 115c (base 13) to base 5 34233 Convert 3114 (base 5) to base 8. 631 Convert -25a (base 16) to base 8. -1132 What is -74da (base 14) in base 10? -20184 Convert -1212 (base 5) to base 16. -b6 What is -21210 (base 3) in base 11? -181 39b7 (base 12) to base 4 1213123 Convert -20020201 (base 3) to base 12. -2777 Convert 6184 (base 10) to base 2. 1100000101000 -101010101111 (base 2) to base 6 -20355 What is 4467 (base 13) in base 10? 9549 Convert -688 (base 9) to base 2. -1000110110 1410 (base 7) to base 8 1042 Convert 11213 (base 5) to base 7. 2233 Convert 1b3 (base 15) to base 8. 611 Convert -197b8 (base 14) to base 2. -1111110010000110 Convert -1443 (base 6) to base 11. -322 What is -676 (base 10) in base 11? -565 What is 1040 (base 7) in base 11? 308 Convert d32 (base 16) to base 8. 6462 9a32 (base 14) to base 10 26700 What is -1244122 (base 5) in base 8? -60520 194d (base 15) to base 16 1561 Convert 18374 (base 9) to base 12. 7427 Convert 101010100011 (base 2) to base 11. 2056 What is 140434 (base 8) in base 15? e9ab Convert 34225 (base 7) to base 16. 21f4 What is 427 (base 12) in base 8? 1137 Convert -3439 (base 16) to base 7. -53656 What is -10101111010101 (base 2) in base 13? -5152 -23211020 (base 4) to base 10 -47432 Convert -1202111 (base 3) to base 10. -1282 Convert 1286 (base 10) to base 12. 8b2 -1002121 (base 3) to base 2 -1100011111 Convert 42340 (base 6) to base 13. 2802 Convert -4424 (base 5) to base 4. -21212 Convert 1021012211 (base 3) to base 16. 616f What is 12314 (base 12) in base 6? 310024 What is 10000011011010 (base 2) in base 9? 12474 What is -2215 (base 13) in base 16? -128e Convert -1677 (base 12) to base 2. -101001111011 1210100 (base 3) to base 5 20210 Convert -1652 (base 10) to base 8. -3164 852 (base 10) to base 2 1101010100 What is 36928 (base 11) in base 2? 1100111100100100 Convert 12ad (base 16) to base 13. 223a Convert -136 (base 15) to base 16. -114 634 (base 7) to base 12 227 -256 (base 14) to base 7 -1236 What is -7889 (base 13) in base 8? -40714 What is -1380d (base 14) in base 16? -bc65 What is 33 (base 14) in base 3? 1200 What is -6223 (base 10) in base 6? -44451 What is -4441 (base 16) in base 5? -1024343 -100110101110101 (base 2) to base 13 -9044 Convert 20210012 (base 4) to base 9. 53105 What is 518 (base 10) in base 16? 206 -13a7 (base 14) to base 3 -11202212 What is 1022101120 (base 3) in base 6? 315240 Convert -7c04 (base 15) to base 3. -1100010011 b24 (base 16) to base 15 ca2 What is -2044111 (base 5) in base 6? -422413 -256 (base 9) to base 12 -159 -2aeb (base 16) to base 6 -122511 What is -110000010010 (base 2) in base 15? -db0 -1a6a (base 11) to base 5 -40432 1101010111 (base 2) to base 8 1527 What is -856 (base 9) in base 10? -699 11010112 (base 3) to base 10 3011 Convert 2375 (base 12) to base 16. f89 -1111101110111 (base 2) to base 14 -2d15 What is 77b (base 13) in base 15? 5aa What is -784 (base 14) in base 6? -10520 Convert -1007 (base 14) to base 12. -1713 1011111011 (base 2) to base 3 1001021 Convert 101313 (base 5) to base 11. 2560 What is -2b6f (base 16) in base 4? -2231233 Convert 11101101101010 (base 2) to base 9. 22770 Convert -111001000101100 (base 2) to base 4. -13020230 402 (base 7) to base 4 3012 What is 1258 (base 9) in base 10? 944 Convert -301303 (base 5) to base 3. -111010202 Convert 102020 (base 3) to base 13. 1a4 Convert -1352 (base 7) to base 8. -1017 What is -98b (base 13) in base 15? -741 What is -1b8a (base 13) in base 6? -31150 Convert 153 (base 13) to base 15. 10c What is -d77 (base 16) in base 10? -3447 3511 (base 7) to base 4 110002 -220220 (base 3) to base 12 -480 What is 180 (base 16) in base 10? 384 Convert 24445 (base 8) to base 13. 4a43 -2a9b (base 12) to base 16 -1397 What is 1624 (base 9) in base 7? 3415 -d25d (base 15) to base 14 -12285 1992 (base 15) to base 2 1010110100001 What is 3270 (base 9) in base 5? 34122 11534 (base 7) to base 13 14ab Convert -979 (base 14) to base 15. -84b 28120 (base 9) to base 4 10221231 -1284 (base 12) to base 7 -6112 Convert 1b9 (base 15) to base 10. 399 Convert 10021 (base 3) to base 10. 88 -606 (base 11) to base 12 -510 What is 776 (base 13) in base 6? 5532 -412 (base 7) to base 11 -177 -487 (base 9) to base 13 -250 Convert 21a (base 12) to base 2. 100110110 What is -21 (base 11) in base 5? -43 What is 3131 (base 6) in base 4? 22333 Convert -237 (base 10) to base 4. -3231 Convert 21113300 (base 4) to base 8. 112760 554 (base 13) to base 4 32102 605 (base 7) to base 16 12b Convert 10022202 (base 3) to base 15. ab8 32520 (base 6) to base 16 11a0 -110450 (base 6) to base 13 -4293
{ "pile_set_name": "DM Mathematics" }
(a) = -a - 3. Let l be s(-5). Suppose -2 - 10 = l*b. What is the common denominator of 128/b - 2/(-1) and 38/11? 33 Let f(d) = d**3 - 11*d**2 - 11*d - 8. Let q be f(12). Suppose 4*z - 4 = w, -z + 20 = q*z. What is the smallest common multiple of w and 12? 12 Let c be (3*-1)/(-3) + 2. Suppose 3*g = 5*a - g - 30, -3*a = c*g - 18. Calculate the least common multiple of (-32)/a*-1*3 and 12. 48 Suppose 3*r + 9 = 2*g, -4*r + 44 = 2*g - 0*g. Let s = 12 + 0. What is the least common multiple of s and g? 12 What is the common denominator of 8/((-240)/(-81)) + -3 and -25/18? 90 What is the common denominator of (-23)/24*(-56)/(-42) and (-1)/(-5) + (-38)/(-4)? 90 Let n be (-4)/((-3)/(3/2)). Suppose 0*o = -5*x + 2*o + 12, -5*o + 12 = -n*x. Let w = x + -2. Calculate the smallest common multiple of 20 and w. 20 Suppose o - 3*o = -22. What is the least common multiple of o and 4/2 + (-1 - -6)? 77 Let v = -13 - -19. Let z be (1 + -1)*(-4)/8. What is the lowest common multiple of (z - 0) + (-1 - -11) and v? 30 Suppose 0*s + 5*s = 40. Calculate the lowest common multiple of 14 and s. 56 Suppose 5 + 1 = 2*r. Calculate the lowest common multiple of 5 and r. 15 Let a = -3246 + 12911/4. What is the common denominator of a and 31/2? 4 Let a be 3/(-12) + 84/16. Suppose -2*t - 1 = -2*b + 1, -a*b + 25 = 5*t. Calculate the lowest common multiple of b and 4. 12 Let d = 1/5928 - 120047/29640. Let g = d - 431/180. Let y = -30 - -56. Calculate the common denominator of y and g. 9 Let z(k) = -3*k + 19. Let h(y) = -4*y + 20. Let n(u) = -4*h(u) + 5*z(u). What is the least common multiple of 4 and n(-11)? 4 Suppose 4*a - 12 = 4. Suppose -5*v = 5*u - a*u - 16, 0 = 5*u + 3*v - 80. What is the smallest common multiple of u and 12? 48 Let k be (-5 + 6)*(1 + 85). What is the common denominator of k/(-4)*(-7)/77 and (-30)/(-28)*52/(-12)? 154 Let c be (-88)/14 - (-6)/21. Let d(t) = t**2 + 5*t - 8. Let k be d(c). Find the common denominator of -81/22 and k/(44/(-213)*-3). 22 Let k = -13373/10 + 1348. Calculate the common denominator of 22 and k. 10 Suppose 5 + 1 = 3*b. Let p be 9*(b + (-178)/(-20)). Let s = p + -97. Find the common denominator of s and -101/14. 70 Let v = -49/12 - -175/36. What is the common denominator of 3 + (-3 - 52/5) and v? 45 Suppose -i = 1 - 9. What is the least common multiple of 2 and i? 8 Let g = 13507884 + -189243591/14. Let d = g + 9520. Calculate the common denominator of 1/(-3) - (-61)/6 and d. 42 Let y be (1 - 0) + (-3154)/34. Let x = y - -14822/153. Let n = 2/457 + 26957/1371. Find the common denominator of n and x. 9 Suppose 3*h = 8 - 2. Suppose -h*g - 16 = -w, w + g = 6*g + 25. What is the smallest common multiple of w and 8/48 - (-83)/6? 70 Let l be 4 - (3 - 2/2). Let r = 22343/8290 - -4/829. Calculate the common denominator of 1/l + 1048/48 and r. 30 Let c = 2 - -6. Let v(z) = 12*z**2 + z + 1. Calculate the lowest common multiple of v(-1) and c. 24 Let f = -2482/3 + 820. Suppose 3*p + 0*z = z - 17, 0 = -4*z - 4. Calculate the common denominator of p/8 - (-71)/20 and f. 15 Suppose 0*l + 4*l = 0. Suppose l = i - 0*i - 6. What is the lowest common multiple of 10 and i? 30 Let b be -33*((-8)/(-12) + 0). Let k = b + 24. What is the smallest common multiple of 22 and k? 22 Let p = -418/5 - -3399/40. Let j = -115 - -1885/16. Calculate the common denominator of j and p. 16 Let w = 278788679/70620 - 988/3531. Suppose -2*m + 1952 = -5948. Let b = w - m. Calculate the common denominator of b and -125/12. 60 Suppose 0 = 4*u - 5*j + 33, 17 = -3*u + u + 3*j. Let b = -283 - 783. What is the common denominator of 3/14 and b/56 - 2/u? 28 Calculate the common denominator of (160/(-12))/((-2)/6) and 889/42 + 2/3. 6 Suppose -16*o + 22 = -15*o. Suppose 2*b + 2*b = 8. Calculate the smallest common multiple of o and b. 22 Let l = 2395561/463 - 5174. Let o = -3245/1852 - l. What is the common denominator of o and 511/80 - 8/40? 16 What is the least common multiple of 66*(0 - (12/8 + -2)) and 33? 33 Let u = -8 + 11. Suppose u*d - 8*d - 4*r + 57 = 0, -r - 6 = -d. What is the least common multiple of d and 2? 18 Let j = 1814/5 - 49103/135. Find the common denominator of j and -34/33. 297 Let c = 3 - 1. Let a = 4 - c. What is the least common multiple of 10 and a? 10 Let h = -4/59 - 987/236. Calculate the common denominator of h and 28. 4 Suppose 2*j = -2*j + 56. Let z = 56 - 17. Let s = -21 + z. What is the smallest common multiple of j and s? 126 Let j(p) = p**3 - 8*p**2 - p + 4. Let b be j(8). Let d = 1079/66 - 103/6. Calculate the common denominator of d and (1 + b)/((-42)/8). 77 Suppose 0 = -3*o + 5*s - 2*s + 27, 8 = -4*s. Let j(m) = -10*m**2 + m. Let v be j(1). Let i = -5 - v. What is the smallest common multiple of i and o? 28 Let f(y) = y + 7. What is the smallest common multiple of f(0) and 20? 140 Let z be (5 - -2)*6/7. Let t(l) = 4 + z*l**2 + l**3 + 1 + 7*l + 1. What is the lowest common multiple of 10 and t(-4)? 10 Let h = 7 - 5. Suppose h*s + 50 = -60. Find the common denominator of 47/4 and (-20)/s + -1 + 1. 44 Let y = 3 + -6. Let i(b) = b**2 - 1. Let w(g) = 13*g**2 + g. Calculate the least common multiple of w(1) and i(y). 56 Let g = -1407/5 - -284. What is the common denominator of 17/9 and g? 45 Let g = -6977/10 - -699. Calculate the common denominator of (-3)/12 - (-229)/44 and g. 110 Let o = -21/167 + 8456/2171. Find the common denominator of o and -7/3. 39 Let v(q) = -q**3 + 8*q**2 + 10*q - 1. Calculate the lowest common multiple of 5 and v(9). 40 Let n = -19 + 26. What is the least common multiple of n and 9? 63 Let i = 0 + 2. Let m(x) be the second derivative of x**3/6 + 7*x**2/2 - 5*x. What is the smallest common multiple of m(-4) and i? 6 Let x(h) = -h**3 + 23*h**2 - 22*h + 18. What is the smallest common multiple of x(22) and 30? 90 Suppose 28 = 4*x - 44. Let k = -14 - -20. Calculate the smallest common multiple of k and x*(-2)/(-12)*3. 18 Let b = -4152 + 41561/10. Let z(p) = 5*p + 1. Let u be z(1). Calculate the common denominator of b and 125/33 + 4/u. 110 Let n = 18679/966 + -1/322. Find the common denominator of n and -125/6. 6 Find the common denominator of 453/6*2/(-6) and 73/6. 6 Let m be -2 + 0 - 17421/198. Let j = m - -1252/11. What is the common denominator of j and (-143)/(-15)*(-15)/(-6)? 6 Let m = 106973/24 + -4459. Find the common denominator of -59/20 and m. 120 Let s = 1477/5 + -17129/60. Let z = 25211/4336 + -1/542. Calculate the common denominator of z and s. 48 Let p be 2/(264/6326 + 0). Let y = 269/6 - p. Calculate the common denominator of y and 2/(-3)*(1 + 116/16). 22 What is the smallest common multiple of 5 and (16/4 - 8)/(-2)? 10 Let m = 45157/9 - 5025. Suppose 2*q + 4*c = 52 + 8, 0 = -2*c. Find the common denominator of m and (-556)/q - (-3)/15. 9 Let m = 66 - 50. Calculate the smallest common multiple of 4 and m. 16 Let w(n) = n**3 - 4*n**2 - 4*n - 3. Let g = 3 + 7. Calculate the lowest common multiple of w(5) and g. 10 Let k(m) = -16*m - 12. Calculate the smallest common multiple of k(-1) and (-2)/(-8) - 129/(-12). 44 Suppose -3*u + 44 = u. Let x = -7 - -11. Suppose x = 2*c - l, 2*l + 0*l = 0. Calculate the least common multiple of u and c. 22 Let p(b) be the third derivative of -5/6*b**3 + 1/3*b**4 + 0*b - 1/60*b**5 + 0 + 2*b**2. Calculate the least common multiple of 8 and p(6). 56 Let i(o) = 9*o**3 + o. What is the lowest common multiple of i(1) and ((-10)/3)/(5/(-6)) + -2? 10 Let u(b) be the first derivative of -b**4/4 + 8*b**3/3 + b**2/2 + 7*b + 2. Let z be u(7). Calculate the common denominator of (-9)/z*1*-31 and 51/5. 35 Suppose -5 = -5*i - 0, -2*z + 5*i = 13. Let t(m) = -m - 9. Let g be t(z). Let v = g + 11. Calculate the lowest common multiple of v and 7. 42 Let i = 6105979/688 - 8875. Let q be 62097/22704 - (-1)/4. Let t = q + i. Find the common denominator of t and 111/20. 220 Let u be -2 + (-10)/(-2) + -1. Suppose -6*l = -u*l - 8. Let h = -6 - -24. What is the least common multiple of h and l? 18 Let i be (-2)/2*-1*5. Let u(v) = v**3 - 5*v**2 + 4*v + 2. Calculate the least common multiple of u(i) and 18. 198 Calculate the common denominator of 95/4 and 0 + (-12)/88 - -4. 44 Let j = -418/15 - -86/3. What is the common denominator of (-104)/(-792) + (-2)/9 and j? 55 Let y = 55 + -39. Suppose -3*c + 0*c = -2*z
{ "pile_set_name": "DM Mathematics" }
*3 - q. Give p(1). -7 Let k(r) = 16*r**2 + 2*r - 10. Give k(2). 58 Let q(l) = -l**2 - 4*l - 2. What is q(-1)? 1 Let k(l) = -2*l - 73. Determine k(-14). -45 Let h(p) = 4*p + 31. What is h(-7)? 3 Let g(r) = 2*r - 75. Determine g(43). 11 Let f(p) = -6*p**2 - 8*p - 3. What is f(4)? -131 Let f(w) = 86*w + 349. Give f(-4). 5 Let v(f) = -f**2 + 38*f + 1315. Determine v(-22). -5 Let o(l) = -l**2 + 13*l - 6. What is o(13)? -6 Let t(p) = -p**3 + p - 2. What is t(1)? -2 Let f(q) = -q**3 - 15*q**2 + 16*q + 7. Determine f(-16). 7 Let y(h) = 7*h**2 + 3*h - 3. Determine y(1). 7 Let b(i) = i**3 - 9*i**2 - 27*i - 12. Calculate b(12). 96 Let f(k) = -2*k**2 - 15*k + 1. Calculate f(-4). 29 Let t(o) = -o**2 - 21*o - 91. What is t(-7)? 7 Let p(v) = -v + 20. What is p(15)? 5 Let f(n) = 4*n + 22. Determine f(-13). -30 Let l(y) = -2*y**3 - 11*y**2 - 7*y - 12. Give l(-5). -2 Let t(n) = n - 13. Determine t(-24). -37 Let o(l) = -2*l**3 + 12*l**2 - 11*l - 1. Determine o(5). -6 Let m(p) = p**2 + 3*p - 13. Determine m(-6). 5 Let g(b) = 8*b + 215. Determine g(-26). 7 Let v(s) = -s**3 + 5*s**2 + 2*s - 4. Give v(5). 6 Let j(i) = -5*i - 150. Determine j(-31). 5 Let i(y) = 9*y**3 + y**2 + 4*y + 4. What is i(-1)? -8 Let d(g) = 3*g. What is d(1)? 3 Let h(v) = v - 31. Determine h(9). -22 Let i(b) = -b**3 - b**2 - b - 7. What is i(0)? -7 Let p(n) = -n**2 + 22*n - 105. Give p(19). -48 Let i(l) = l**3 + 8*l**2 - l - 7. Give i(-8). 1 Let n(g) = -3*g**2 + 22*g + 9. Determine n(6). 33 Let l(z) = -z**3 - 8*z**2 - 4*z - 9. Calculate l(-8). 23 Let p(n) = -18*n - 96. Determine p(-5). -6 Let k(r) = r - 2. Calculate k(6). 4 Let m(j) = j**3 - 29*j**2 + 29*j + 6. What is m(28)? 34 Let v(l) = 2*l + 69. Determine v(-32). 5 Let m(y) = -y**3 + 8*y**2 + 6*y - 8. Give m(10). -148 Let x(l) = 6*l + 3. Calculate x(-5). -27 Let d(g) = 26*g - 127. Calculate d(5). 3 Let g(c) = -c**2 - 17*c - 11. What is g(-17)? -11 Let x(t) = t**2 + 19*t - 23. Calculate x(-20). -3 Let y(q) = -q**3 + 9*q**2 - 23*q + 6. Determine y(8). -114 Let p(b) = -b**2 + 5*b + 2. What is p(3)? 8 Let c(z) = -10*z. Give c(-1). 10 Let w(k) = -k**3 + 4*k**2 + 2*k - 5. Give w(4). 3 Let l(y) = -14*y + 60. Give l(5). -10 Let w(k) = k**2 + 3*k - 3. What is w(-5)? 7 Let g(z) = -48*z**3 + z**2 + z - 2. What is g(1)? -48 Let o(f) = f**3 + 10*f**2 - 9*f + 16. Determine o(-11). -6 Let w(z) = 17*z**3 - z - 2. Give w(-1). -18 Let j(r) = r**3 + 5*r**2 + 5*r + 3. What is j(-4)? -1 Let w(m) = -5*m**3 - 34*m**2 + 8*m - 7. What is w(-7)? -14 Let k(r) = -6*r - 55. Calculate k(-9). -1 Let q(u) = -20*u**2 - 401*u - 15. Calculate q(-20). 5 Let q(w) = -4*w + 46. What is q(11)? 2 Let z(y) = 2*y**3 + 33*y**2 - 18*y - 9. Give z(-17). 8 Let y(x) = -5*x. Calculate y(-1). 5 Let g(b) = -5*b**2 - 29*b - 5. Calculate g(-4). 31 Let r(v) = v**2 - 37*v - 309. Give r(44). -1 Let n(y) = 3*y**3 + 4*y**2 + 5*y - 3. Determine n(-3). -63 Let z(u) = -7*u**3 - 2*u**2 - 2*u + 1. Determine z(-2). 53 Let p(h) = -6*h**3 - h**2 - 2*h + 2. Determine p(1). -7 Let h(f) = -f - 83. Give h(-22). -61 Let g(v) = v**3 - 6*v**2 - 10*v - 8. What is g(9)? 145 Let x(j) = 3*j**2 + 4*j + 4. Calculate x(-3). 19 Let a(n) = -n**2 + 2*n + 1. What is a(5)? -14 Let c(j) = 2*j**2 + 54*j + 215. Calculate c(-22). -5 Let u(y) = -y**3 - 4*y**2 + 4*y. Calculate u(3). -51 Let g(j) = j**3 + 9*j**2 + 9*j + 6. Determine g(-7). 41 Let u(c) = 2*c + 4. Determine u(-7). -10 Let b(t) = -11*t. Give b(1). -11 Let x(o) = -5*o - 12. What is x(5)? -37 Let v(y) = -y**3 - 3*y**2 - 2. Give v(-2). -6 Let o(p) = -3*p**3 + 13*p**2 - 6*p + 6. What is o(4)? -2 Let o(x) = x**2 - 10*x - 4. Determine o(7). -25 Let b(n) = -3*n**3 + 2*n**2 + 5. Calculate b(2). -11 Let h(a) = 7*a**2 - 37*a + 4. Calculate h(5). -6 Let o(x) = 4*x + 4. What is o(6)? 28 Let a(o) = -o**3 + 7*o**2 - 6*o + 4. Calculate a(6). 4 Let b(g) = g**3 + 8*g**2 + 5*g - 4. Calculate b(-7). 10 Let k(q) = -q**3 + 13*q**2 - 12*q - 4. What is k(12)? -4 Let l(h) = -h**2 - 26*h + 224. Calculate l(7). -7 Let d(p) = p**3 - 15*p**2 + 10*p + 41. Determine d(14). -15 Let c(g) = 7*g + 18. Determine c(-3). -3 Let y(b) = b**2 + 9*b - 9. What is y(-7)? -23 Let t(l) = -l**3 + 11*l**2 - 5*l + 11. Give t(10). 61 Let m(h) = -h**2 + 2*h - 3. Give m(1). -2 Let g(i) = i**3 - 7*i**2 + 22*i - 109. Calculate g(6). -13 Let b(s) = s**2 + 13*s + 15. Give b(-9). -21 Let w(h) = -h + 6. Give w(13). -7 Let y(a) = 8*a**2 - 83*a + 8. Give y(10). -22 Let l(z) = -12*z - 2. Determine l(-1). 10 Let w(z) = z**2 - 12*z - 2. Determine w(12). -2 Let i(w) = -w**2 - 34*w + 117. What is i(-37)? 6 Let o(t) = 6*t**2 - 3. Determine o(2). 21 Let y(s) = -s - 19. Calculate y(-6). -13 Let l(a) = -2*a + 9. Calculate l(-6). 21 Let s(y) = -y**3 + 2*y + 3. Calculate s(3). -18 Let q(s) = 4*s**2 + 5*s + 4. What is q(-3)? 25 Let a(o) = -4*o - 12. Give a(-4). 4 Let q(b) = -b**3 - 5*b**2 + 6*b - 4. Determine q(-6). -4 Let u(g) = g**2 - 10*g - 29. What is u(-4)? 27 Let u(m) = m**3 + 14*m**2 - 12*m - 18. Give u(-15). -63 Let y(h) = h**3 + 6*h**2 + 5*h + 5. Determine y(-5). 5 Let y(t) = 2*t**2 + 13*t + 17. Give y(-6). 11 Let s(x) = -2*x - 14. Calculate s(6). -26 Let x(j) = -j**3 - 6*j**2 - j - 8. Determine x(-6). -2 Let v(n) = n**2 + 18*n - 65. Give v(-22). 23 Let y(v) = v**2 - 8*v - 9. Calculate y(10). 11 Let i(q) = q + 6. What is i(12)? 18 Let x(l) = -l**2 + 5*l + 13. Determine x(7). -1 Let t(g) = -g + 14. Give t(14). 0 Let z(y) = y**2 + 16*y - 13. Give z(-18). 23 Let z(k) = -86*k. Calculate z(1). -86 Let w(y) = y**3 - 14*y**2 - 22*y + 36. Determine w(15). -69 Let n(f) = 11*f + 2. Give n(-6). -64 Let f(r) = -15*r**2 - 13*r + 15. Calculate f(1). -13 Let r(p) = 2*p**2 - 87*p + 122. Calculate r(42). -4 Let w(r) = -r**2 - 14*r - 38. What is w(-7)? 11 Let c(o) = o**3 + 13*o**2 - 14*o + 20. Give c(-14). 20 Let s(t) = t**3 - 24*t**2 - 25*t - 3. Determine s(25). -3 Let s(h) = h**3 + 10*h**2 - 10*h - 33. Calculate s(-6). 171 Let o(w) = 7*w**2 + 7*w + 7. Calculate o(-2). 21 Let x(g) = g**2 - 18*g - 19. Give x(19). 0 Let u(z) = -z**3 - 14*z**2 + 121*z + 26. Calculate u(-20). 6 Let t(r) = -7*r**2 - r + 2. Give t(2). -28 Let m(u) = u**3 + 4*u**2 - 3*u. Determine m(-4). 12 Let g(w) = w**2 + 8*w + 1. What is g(-8)? 1 Let a(h) = 2*h - 14. Determine a(9). 4 Let v(s) = -s**3 - 10*s**2 + s + 13. Give v(-10). 3 Let c(h) = h**3 + 32*h**2 - 37*h - 133. Calculate c(-33). -1 Let x(k) = -k**2 + 7*k - 5. What is x(3)? 7 Let n(f) = f**3 - 17*f**2 + 15*f + 16. Give n(16). 0 Let x(h) = h**2 - 12*h + 2. Calculate x(12). 2 Let j(x) = -x**3 + 64*x**2 + x - 62. What is j(64)? 2 Let l(z) = -5*z. Give l(2). -10 Let j(y) = -y**2 - y + 17. Determine j(4). -3 Let d(m) = -19*m**3 - m**2 + m. Give d(1). -19 Let g(i) = 70*i + 10. Determine g(1). 80 Let x(g) = -g**2 + 4*g - 10. Give x(5). -15 Let v(o) = 2*o**3 - 2*o**2 - 4*o + 1. What is v(-2)? -15 Let k(m) = 10*m + 1. Give k(1). 11 Let o(q) = -35*q + 1. Calculate o(-1). 36 Let p(z) = -z**3 - 2. What is p(-2)? 6 Let b(w) = 26*w + 681. Give b(-26). 5 Let b(h) = -h + 38. Calculate b(17). 21 Let c(q) = -q - 16. Give c(-9). -7 Let s(j) = -j - 1. Determine s(-14). 13 Let l(i) = 12*i - 9. Calculate l(-1). -21 Let c(u) = -u - 6. Calculate c(-10). 4 Let a(m) = 6*m**2 + 1. What is a(2)? 25 Let y(p) = -p**3 - 7*p**2 - 4*p + 5. Determine y(-6). -7 Let s(q) = 2*q + 10. Give s(-7). -4 Let x(s) = -s**3 - 5*s**2 + 6*s + 9. Give x(-6). 9 Let c(q) = -2*q - 62. Determine c(-27). -8 Let r(i) = i**3 - i**2 + 3*i + 3. Determine r(-2). -15 Let g(z) = z**3 + 17*z**2 + z + 10. What is g(-17)? -7 Let n(b) = -b**3 - 20*b**2 + 20*b - 35. Give n(-21). -14 Let l(d) = d**2 - 14*d + 32. Calculate l(15). 47 Let b(m) = -m**3 + m**2 + 2*m - 28. Determine b(0). -28 Let x(j) = j**3 - 32*j**2 + 29*j + 63. Determine x(31). 1 Let g(z) = -2*z**3 - 3*z**2 + 5*z + 3. What is g(-3)? 15 Let x(y) = -y**2 + y - 27. Determine x(0). -27 Let r(q) = -q**2 - 9*q + 10. Give r(-11). -12 Let l(o) = 2*o + 4. What is l(-3)? -2 Let j(l) = -l**2 + 6*l - 1. Determine j(7). -8 Let c(s) = -6*s**2 + 3*s - 2. Calculate c(1). -5 Let k(v) = -v**3 + 8*v**2 - 5*v + 6. Determine k(6). 48 Let w(o) = -o**2 - 5*o - 8. What is w(0)? -8 Let j(s) = -3*s**2 + 13*s - 4. What is j(9)? -130 Let o(w) = -11*w - 190. What is o(-15)? -25 Let f(p) = -7*p + 39. Give f(9). -24 Let o(n) = -n**2 + 8*n + 9.
{ "pile_set_name": "DM Mathematics" }
e nearest integer? 5 What is the cube root of 998 to the nearest integer? 10 What is the tenth root of 421 to the nearest integer? 2 What is the square root of 990 to the nearest integer? 31 What is 19591 to the power of 1/8, to the nearest integer? 3 What is 119878 to the power of 1/2, to the nearest integer? 346 What is 1336 to the power of 1/2, to the nearest integer? 37 What is the square root of 936 to the nearest integer? 31 What is 5637 to the power of 1/7, to the nearest integer? 3 What is 5630 to the power of 1/2, to the nearest integer? 75 What is 24224 to the power of 1/9, to the nearest integer? 3 What is 13626 to the power of 1/2, to the nearest integer? 117 What is the cube root of 3528 to the nearest integer? 15 What is the third root of 118414 to the nearest integer? 49 What is the cube root of 66537 to the nearest integer? 41 What is 3800 to the power of 1/2, to the nearest integer? 62 What is the square root of 575 to the nearest integer? 24 What is 197 to the power of 1/6, to the nearest integer? 2 What is the fourth root of 10527 to the nearest integer? 10 What is the fourth root of 637 to the nearest integer? 5 What is the ninth root of 52817 to the nearest integer? 3 What is the square root of 3431 to the nearest integer? 59 What is the sixth root of 18808 to the nearest integer? 5 What is the sixth root of 18227 to the nearest integer? 5 What is 919 to the power of 1/3, to the nearest integer? 10 What is the square root of 127 to the nearest integer? 11 What is 14089 to the power of 1/9, to the nearest integer? 3 What is 559 to the power of 1/3, to the nearest integer? 8 What is the third root of 20022 to the nearest integer? 27 What is 119 to the power of 1/2, to the nearest integer? 11 What is the square root of 1002 to the nearest integer? 32 What is the square root of 4222 to the nearest integer? 65 What is the cube root of 985 to the nearest integer? 10 What is 13153 to the power of 1/4, to the nearest integer? 11 What is 847 to the power of 1/3, to the nearest integer? 9 What is the cube root of 37713 to the nearest integer? 34 What is 37143 to the power of 1/9, to the nearest integer? 3 What is the square root of 2193 to the nearest integer? 47 What is 13806 to the power of 1/3, to the nearest integer? 24 What is the ninth root of 48926 to the nearest integer? 3 What is the cube root of 508 to the nearest integer? 8 What is the ninth root of 8965 to the nearest integer? 3 What is 474 to the power of 1/2, to the nearest integer? 22 What is 33291 to the power of 1/3, to the nearest integer? 32 What is the square root of 537 to the nearest integer? 23 What is 118243 to the power of 1/8, to the nearest integer? 4 What is 12059 to the power of 1/6, to the nearest integer? 5 What is the eighth root of 5159 to the nearest integer? 3 What is the cube root of 21892 to the nearest integer? 28 What is 165832 to the power of 1/3, to the nearest integer? 55 What is 3624 to the power of 1/6, to the nearest integer? 4 What is 3303 to the power of 1/2, to the nearest integer? 57 What is 53883 to the power of 1/3, to the nearest integer? 38 What is the seventh root of 2317 to the nearest integer? 3 What is the seventh root of 1460 to the nearest integer? 3 What is 10067 to the power of 1/9, to the nearest integer? 3 What is 3023 to the power of 1/3, to the nearest integer? 14 What is 2478 to the power of 1/3, to the nearest integer? 14 What is 1303 to the power of 1/2, to the nearest integer? 36 What is 1932 to the power of 1/8, to the nearest integer? 3 What is the cube root of 29955 to the nearest integer? 31 What is the fifth root of 666 to the nearest integer? 4 What is the cube root of 268 to the nearest integer? 6 What is 1280 to the power of 1/3, to the nearest integer? 11 What is the eighth root of 5270 to the nearest integer? 3 What is 4222 to the power of 1/2, to the nearest integer? 65 What is 2135 to the power of 1/6, to the nearest integer? 4 What is the cube root of 13267 to the nearest integer? 24 What is the cube root of 1262 to the nearest integer? 11 What is the third root of 2567 to the nearest integer? 14 What is the cube root of 2695 to the nearest integer? 14 What is 30497 to the power of 1/9, to the nearest integer? 3 What is the cube root of 56 to the nearest integer? 4 What is 1364 to the power of 1/2, to the nearest integer? 37 What is 26584 to the power of 1/3, to the nearest integer? 30 What is the square root of 91531 to the nearest integer? 303 What is the tenth root of 8784 to the nearest integer? 2 What is 12731 to the power of 1/2, to the nearest integer? 113 What is 43833 to the power of 1/2, to the nearest integer? 209 What is 483 to the power of 1/8, to the nearest integer? 2 What is the cube root of 5976 to the nearest integer? 18 What is the cube root of 33346 to the nearest integer? 32 What is the square root of 1947 to the nearest integer? 44 What is 64 to the power of 1/2, to the nearest integer? 8 What is the third root of 797 to the nearest integer? 9 What is the square root of 20821 to the nearest integer? 144 What is 705 to the power of 1/5, to the nearest integer? 4 What is 12466 to the power of 1/2, to the nearest integer? 112 What is 95814 to the power of 1/2, to the nearest integer? 310 What is 7195 to the power of 1/2, to the nearest integer? 85 What is 50 to the power of 1/3, to the nearest integer? 4 What is the square root of 2897 to the nearest integer? 54 What is 3434 to the power of 1/6, to the nearest integer? 4 What is the square root of 14683 to the nearest integer? 121 What is the seventh root of 30735 to the nearest integer? 4 What is the eighth root of 97784 to the nearest integer? 4 What is the ninth root of 1155 to the nearest integer? 2 What is 4300 to the power of 1/4, to the nearest integer? 8 What is the cube root of 75102 to the nearest integer? 42 What is the square root of 19054 to the nearest integer? 138 What is 5920 to the power of 1/8, to the nearest integer? 3 What is the square root of 1490 to the nearest integer? 39 What is the square root of 157723 to the nearest integer? 397 What is the third root of 6325 to the nearest integer? 18 What is 17945 to the power of 1/7, to the nearest integer? 4 What is 38797 to the power of 1/2, to the nearest integer? 197 What is the third root of 1185 to the nearest integer? 11 What is 6741 to the power of 1/6, to the nearest integer? 4 What is the tenth root of 2816 to the nearest integer? 2 What is the cube root of 8790 to the nearest integer? 21 What is the sixth root of 123 to the nearest integer? 2 What is the fifth root of 511 to the nearest integer? 3 What is 35703 to the power of 1/6, to the nearest integer? 6 What is 5611 to the power of 1/2, to the nearest integer? 75 What is 768 to the power of 1/2, to the nearest integer? 28 What is 105931 to the power of 1/2, to the nearest integer? 325 What is the square root of 95265 to the nearest integer? 309 What is 1218 to the power of 1/4, to the nearest integer? 6 What is the third root of 11180 to the nearest integer? 22 What is the third root of 941 to the nearest integer? 10 What is 46607 to the power of 1/3, to the nearest integer? 36 What is the square root of 387 to the nearest integer? 20 What is the cube root of 68061 to the nearest integer? 41 What is 1624 to the power of 1/2, to the nearest integer? 40 What is the tenth root of 78 to the nearest integer? 2 What is the cube root of 2557 to the nearest integer? 14 What is the third root of 16057 to the nearest integer? 25 What is the eighth root of 1391 to the nearest integer? 2 What is the square root of 1932 to the nearest integer? 44 What is 1230 to the power of 1/3, to the nearest integer? 11 What is 6965 to the power of 1/3, to the nearest integer? 19 What is 1410 to the power of 1/3, to the nearest integer? 11 What is the third root of 5550 to the nearest integer? 18 What is 56554 to the power of 1/2, to the nearest integer? 238 What is 1690 to the power of 1/3, to the nearest integer? 12 What is 2900 to the power of 1/7, to the nearest integer? 3 What is 68646 to the power of 1/9, to the nearest integer? 3 What is 99802 to the power of 1/2, to the nearest integer? 316 What is the fifth root of 58
{ "pile_set_name": "DM Mathematics" }
17*a**4/2 + 39*a**3/2 - 17*a**2/2 - 19*a = 0. Calculate a. -2, -1, 0, 1, 19 Let n**5 - 810*n**4 + 7206*n**3 + 2432*n**2 - 23247*n + 14418 = 0. What is n? -2, 1, 9, 801 What is v in -2*v**5 + 4660*v**4 - 41832*v**3 + 125388*v**2 - 125334*v = 0? 0, 3, 2321 Suppose 350*a**2 - 4036*a/3 - 720 = 0. What is a? -10/21, 108/25 Factor -n**5/4 + 133*n**4/2 + 1692*n**3 + 13792*n**2 + 37120*n. -n*(n - 290)*(n + 8)**3/4 Determine b, given that 2*b**2/5 + 1900272*b/5 + 451379209248/5 = 0. -475068 Factor t**2 - 38222*t - 76448. (t - 38224)*(t + 2) Factor -2*t**3/7 + 1016*t**2/7 - 55304*t/7. -2*t*(t - 446)*(t - 62)/7 Let 61*k**3/2 + 253*k**2/2 + 53*k - 156 = 0. Calculate k. -3, -2, 52/61 Solve g**2/9 + 31172*g/3 + 242923396 = 0. -46758 Factor c**3/2 + 121*c**2/2 + 361*c - 16016. (c - 13)*(c + 22)*(c + 112)/2 Find i, given that -5*i**3 - 730*i**2 + 37620*i + 78120 = 0. -186, -2, 42 Factor 2*r**2 - 8706288*r + 9474931342368. 2*(r - 2176572)**2 Factor -4*i**2/3 + 1564*i/3 - 48552. -4*(i - 238)*(i - 153)/3 Factor 4*v**4 - 2608*v**3 + 589056*v**2 - 50532352*v + 1007878144. 4*(v - 208)**3*(v - 28) Solve -2*g**4 + 2002*g**3 - 677082*g**2 + 80314822*g - 997116092 = 0 for g. 14, 329 Let -2*g**2/9 - 1108*g/9 - 54890/9 = 0. Calculate g. -499, -55 Solve -4*v**4/7 + 4*v**3 + 452*v**2/7 + 60*v = 0. -7, -1, 0, 15 Determine v, given that v**4/9 - 2348*v**3/9 + 478399*v**2/3 - 7358962*v + 14082144 = 0. 2, 48, 1149 Factor -2*r**3 - 254*r**2 - 3664*r + 8360. -2*(r - 2)*(r + 19)*(r + 110) Factor 5*i**3 + 80655*i**2 + 325301775*i + 325221125. 5*(i + 1)*(i + 8065)**2 Let 5*m**4 + 3125*m**3 + 483570*m**2 - 1472660*m + 985960 = 0. Calculate m. -314, 1, 2 Determine h so that -2*h**4 - 88668*h**3 + 266022*h**2 = 0. -44337, 0, 3 Factor 2*n**2 + 36*n + 34. 2*(n + 1)*(n + 17) Suppose -2*l**4/11 + 33444*l**3/11 + 130984*l**2 + 16194108*l/11 + 14786730/11 = 0. Calculate l. -21, -1, 16765 Find c such that -77*c**3 + 24489*c**2 + 48350*c - 9600 = 0. -15/7, 2/11, 320 Suppose -4*h**4 + 3232*h**3 - 626496*h**2 - 10652672*h - 43454464 = 0. Calculate h. -8, 412 Suppose 3*k**3 - 89461*k**2 + 298173*k - 89451 = 0. What is k? 1/3, 3, 29817 Factor -2*w**2 - 61098*w + 794612. -2*(w - 13)*(w + 30562) Determine b so that 3*b**4 + 1992*b**3 - 18102*b**2 + 46392*b - 30285 = 0. -673, 1, 3, 5 Determine c, given that -5*c**4 - 820*c**3 - 4740*c**2 = 0. -158, -6, 0 Factor -k**2 + 125*k + 786. -(k - 131)*(k + 6) Find x such that -4*x**2/7 + 1604*x/7 - 45880/7 = 0. 31, 370 Determine c, given that 4*c**4 - 628*c**3 + 3056*c**2 - 2432*c = 0. 0, 1, 4, 152 Factor -4*j**2/5 - 9496*j. -4*j*(j + 11870)/5 Solve 3*o**5 + 129*o**4 - 37122*o**3 - 1975326*o**2 + 22463535*o - 58384275 = 0 for o. -83, 5, 113 Solve -2*c**5/3 + 122*c**4/3 - 1454*c**3/3 + 6766*c**2/3 - 13360*c/3 + 9400/3 = 0 for c. 2, 5, 47 Factor v**2/4 + 3481*v + 12117361. (v + 6962)**2/4 Determine g, given that -g**5/5 + g**4 + 76*g**3/5 + 112*g**2/5 - 192*g/5 = 0. -4, 0, 1, 12 Find c such that -c**5 + 527*c**4 - 2610*c**3 = 0. 0, 5, 522 Suppose w**2/2 - 102269*w/2 = 0. Calculate w. 0, 102269 Solve u**2/9 - 9365*u/9 + 177574/9 = 0. 19, 9346 Suppose -2*s**4/5 + 15*s**3 - 108*s**2/5 = 0. What is s? 0, 3/2, 36 Find b such that 4*b**2/5 + 3768*b/5 + 3748 = 0. -937, -5 What is t in 45*t**4 + 5133030*t**3 + 1710980*t**2 - 2851670*t + 570335 = 0? -114067, -1, 1/3 Let -722*g**3/5 - 9899*g**2/5 - 6264*g + 3645 = 0. Calculate g. -135/19, 1/2 Determine r so that -2*r**3/7 - 5806*r**2/7 - 591456*r + 107164800/7 = 0. -1464, 25 Factor -o**2/3 - 203*o - 14600/3. -(o + 25)*(o + 584)/3 Solve -2*a**3/5 + 1568*a**2/5 + 11074*a/5 = 0. -7, 0, 791 Determine l so that 3*l**4/5 - 1704*l**3/5 + 3336*l**2/5 + 33888*l/5 + 40752/5 = 0. -2, 6, 566 Let -2*x**4 - 182*x**3 - 3796*x**2 + 2912*x + 61248 = 0. What is x? -58, -33, -4, 4 Suppose 2*o**3/5 - 436*o**2/5 - 902*o - 2280 = 0. Calculate o. -5, 228 Factor -5*i**2 - 40790*i. -5*i*(i + 8158) Determine l, given that l**3 + 364*l**2 + 37632*l + 790272 = 0. -168, -28 Solve 2*a**4/5 - 156*a**3 + 6858*a**2/5 = 0 for a. 0, 9, 381 Determine o so that -15*o**5 + 4330*o**4/3 + 12055*o**3 + 8170*o**2 - 7280*o/3 = 0. -7, -1, 0, 2/9, 104 Find o such that -3*o**2/7 + 20451*o/7 + 40914/7 = 0. -2, 6819 Determine z so that 2*z**2/15 - 218*z/15 + 1876/5 = 0. 42, 67 Factor -s**3/2 - 8010*s**2 + 32043*s/2 - 8011. -(s - 1)**2*(s + 16022)/2 Let -4*d**3/9 - 40*d**2/9 + 212*d/9 - 56/3 = 0. Calculate d. -14, 1, 3 Find t such that 31*t**2/4 + 623*t/4 - 327/2 = 0. -654/31, 1 What is v in 2*v**2 + 376*v + 374 = 0? -187, -1 Find q such that -5*q**5 - 80*q**4 + 37000*q**3 - 951520*q**2 - 4252240*q - 4401280 = 0. -104, -2, 46 Determine r, given that -48*r**2 + 2337*r + 735 = 0. -5/16, 49 Find i, given that 4*i**5 + 1076*i**4 - 5444*i**3 + 9836*i**2 - 7664*i + 2192 = 0. -274, 1, 2 Factor -74*v**3 + 1186*v**2 + 5888*v - 160. -2*(v - 20)*(v + 4)*(37*v - 1) Find n, given that -n**4 + 962*n**3 + 49928*n**2 + 678912*n + 1165824 = 0. -24, -2, 1012 Suppose -5*f**2/6 - 172500*f - 1034995/6 = 0. What is f? -206999, -1 Factor p**4 + 46*p**3 + 89*p**2 + 44*p. p*(p + 1)**2*(p + 44) Suppose 2*j**3/7 - 208*j**2/7 + 1930*j/7 - 4700/7 = 0. What is j? 5, 94 Let 3*h**2 - 85659*h - 85662 = 0. What is h? -1, 28554 Factor -p**3/2 - 396*p**2 + 3991*p/2 + 2391. -(p - 6)*(p + 1)*(p + 797)/2 Let 109*w**2 + 5732*w + 3328 = 0. What is w? -52, -64/109 Factor -n**2/8 - 93603*n/4 - 8761521609/8. -(n + 93603)**2/8 Solve 2*p**5/5 + 362*p**4/5 - 2624*p**3/5 + 1528*p**2/5 + 4512*p/5 = 0 for p. -188, -1, 0, 2, 6 Let -3*a**3 - 11013*a**2 - 11010*a = 0. Calculate a. -3670, -1, 0 Let -j**3/6 - 1814*j**2/3 + 6053*j/2 - 3633 = 0. What is j? -3633, 2, 3 Suppose c**2 - 3813*c - 165808 = 0. What is c? -43, 3856 Let 2*b**3 + 361694*b**2 + 16352999550*b + 16352637858 = 0. Calculate b. -90423, -1 Factor d**3/2 + 545*d**2 + 6486*d + 19404. (d + 6)**2*(d + 1078)/2 What is q in q**2/5 + 137*q/5 - 456 = 0? -152, 15 Factor 3*t**3/4 - 93*t**2/4 - 711*t/2 + 378. 3*(t - 42)*(t - 1)*(t + 12)/4 Factor 2*z**4 + 84*z**3 - 10126*z**2 - 231168*z + 15147008. 2*(z - 43)**2*(z + 64)**2 Let -2*n**5/15 - 1108*n**4/15 - 33178*n**3/3 - 224720*n**2 = 0. Calculate n. -265, -24, 0 Suppose -2*l**3/3 - 480*l**2 - 32062*l/3 = 0. Calculate l. -697, -23, 0 Factor f**3 + 15112*f**2 + 30221*f + 15110. (f + 1)**2*(f + 15110) What is k in k**4/5 - 2862*k**3/5 + 20977*k**2 - 1017324*k/5 + 183060 = 0? 1, 18, 2825 Solve 5*m**2 + 1554995*m - 1555000 = 0. -311000, 1 Determine v, given that 3*v**2 - 8661*v + 34596 = 0. 4, 2883 Factor 4*w**3 - 150380*w**2 + 1414511200*w - 21183846000. 4*(w - 18790)**2*(w - 15) Let b**3/5 - 373*b**2/5 - 2648*b/5 - 912 = 0. Calculate b. -4, -3, 380 Factor i**4/3 - 17*i**3/3 + 22*i**2 + 32*i/3 - 352/3. (i - 11)*(i - 4)**2*(i + 2)/3 Let -5*p**2 + 14460*p - 14455 = 0. What is p? 1, 2891 What is t in -t**3/6 - 863*t**2/3 - 82123*t/6 + 13975 = 0? -1677, -50, 1 Let -4*d**4 - 1376*d**3 - 98196*d**2 + 3642280*d + 7666400 = 0. Calculate d. -185, -2, 28 Suppose -m**2/3 + 2279*m/3 + 2282 = 0. What is m? -3, 2282 Factor -5*q**2/3 + 11335*q/3 + 91000/3. -5*(q - 2275)*(q + 8)/3 Factor 4*u**2 - 17672*u + 52980. 4*(u - 4415)*(u - 3) Factor 2*c**4 + 24*c**3 - 534*c**2 + 988*c - 480. 2*(c - 10)*(c - 1)**2*(c + 24) Factor -5*y**2 + 2006380*y - 201278035220. -5*(y - 200638)**2 Factor 4*o**3 - 1952*o**2 + 3892*o - 1944. 4*(o - 486)*(o - 1)**2 Factor 2*b**3/9 - 934*b**2/3 + 8392*b/9 - 1864/3. 2*(b - 1398)*(b - 2)*(b - 1)/9 Suppose -2*n**4/3 - 578820*n**3 - 125637222150*n**2 = 0. What is n? -434115, 0 Let -5*w**3 + 3125*w**2 + 22090*w + 18960 = 0. Calculate w. -6, -1, 632 Factor -3*r**3/2 - 9933*r**2/2 - 19857*r/2 - 9927/2. -3*(r + 1)**2*(r + 3309)/2 Determine p so that 3*p**3 - 1728*p**2 + 3435*p + 5166 = 0. -1, 3, 574 Solve 2*a**5/15 + 1256*a**4/15 - 2106*a**3/5 + 7604*a**2/15 + 5048*a/15 - 3376/5 = 0. -633, -1, 2 Factor -3*o**2 + 1674*o + 1677. -3*(o - 559)*(o + 1) Factor -101*p**2/2 - 1213*p/2 - 6. -(p + 12)*(101*p + 1)/2 Solve 4*t**5/3 - 2216*t**4/3 + 100060*t**3 + 1870400*t**2/3 + 1568000*t/3 = 0. -5, -1, 0, 280 Suppose c**4/3 - 17*c**3 - 132*c**2 - 580*c/3 = 0. What is c? -5, -2, 0, 58 Factor 5*m**3 + 195*m**2 + 1660*m + 3360. 5*(m + 3)*(m + 8)*(m + 28) Factor -3561680*q**4 - 14238280*q**3 - 14212965*q**2 + 33740*q - 20. -5*(q + 2)*
{ "pile_set_name": "DM Mathematics" }
sqrt(63))/sqrt(9) + (sqrt(49) - sqrt(147)/sqrt(3))/sqrt(7). 2 + sqrt(7) Simplify (6*sqrt(396)*2)**2 + 4. 57028 Simplify (sqrt(13) + -2)*-3*-4. -24 + 12*sqrt(13) Simplify 6*-1*(sqrt(700) + 1)*-5. 30 + 300*sqrt(7) Simplify 2 + ((0 + sqrt(2057))*-1)**2. 2059 Simplify sqrt(66)/(sqrt(18)/sqrt(3)) + (sqrt(891) + -2)**2 + -4. -35*sqrt(11) + 891 Simplify (-2*sqrt(500))/(sqrt(20)/sqrt(5)*3). -10*sqrt(5)/3 Simplify (-3 + 2*(sqrt(567) + 0 + sqrt(567)*1))**2. -216*sqrt(7) + 9081 Simplify ((-3*sqrt(180))/sqrt(6))/sqrt(6). -3*sqrt(5) Simplify sqrt(28)/(sqrt(8)/(sqrt(16)/sqrt(8))). sqrt(7) Simplify (sqrt(5) + (sqrt(5) - (sqrt(15)/(sqrt(3)*-3))**2) - sqrt(5))*6. -10/3 + 6*sqrt(5) Simplify (sqrt(11) + sqrt(99) + -2)*-5. -20*sqrt(11) + 10 Simplify -2 + sqrt(55)/sqrt(5)*1. -2 + sqrt(11) Simplify 4 + sqrt(405) - sqrt(405)*-6. 4 + 63*sqrt(5) Simplify 4 + sqrt(189)/sqrt(3)*1. 4 + 3*sqrt(7) Simplify (sqrt(300)/sqrt(5))/sqrt(12) - (-1 + sqrt(5) + -2). 3 Simplify 6*(2 + sqrt(8)/(sqrt(4) + -2*sqrt(4)) + -2). -6*sqrt(2) Simplify ((sqrt(10) + sqrt(20)/sqrt(18))/sqrt(5))**2. 32/9 Simplify ((sqrt(104) + (sqrt(104) - ((-3*sqrt(104) - sqrt(104))*2 - sqrt(104))))/((sqrt(968) - (sqrt(968) + -1*sqrt(968))) + sqrt(968) - sqrt(8)))**2. 1573/441 Simplify sqrt(15)/(sqrt(15)/sqrt(3)) + sqrt(27)/sqrt(324). 7*sqrt(3)/6 Simplify 5*sqrt(76)/sqrt(4)*2. 10*sqrt(19) Simplify (sqrt(16)*1)/sqrt(2). 2*sqrt(2) Simplify (4*(sqrt(2057) + 1))**2 - (sqrt(2448) - -5*(0 + sqrt(2448))). 280*sqrt(17) + 32928 Simplify 3*2*sqrt(13) + (1 + sqrt(325) - sqrt(325)). 1 + 6*sqrt(13) Simplify -4 + 2*sqrt(1700) + 1. -3 + 20*sqrt(17) Simplify 0 + sqrt(170)/sqrt(40). sqrt(17)/2 Simplify sqrt(44)/sqrt(4) + -4 - 2*(sqrt(11) + -1 + sqrt(11)). -3*sqrt(11) - 2 Simplify sqrt(20)/(sqrt(4) + sqrt(8)/sqrt(2)) - (1 + sqrt(20)). -3*sqrt(5)/2 - 1 Simplify 5*-3*(sqrt(2) + 1)**2. -45 - 30*sqrt(2) Simplify (sqrt(40)/(sqrt(2) - sqrt(18)) + sqrt(20))/sqrt(4). sqrt(5)/2 Simplify (0 + sqrt(153) + sqrt(153) + 2 - (-2*sqrt(153)*-2 + sqrt(153) - sqrt(153)))**2. -24*sqrt(17) + 616 Simplify (4 + sqrt(99) + 4 + (sqrt(110)*1 + sqrt(110))/sqrt(10))**2. 80*sqrt(11) + 339 Simplify (-1*sqrt(57)/sqrt(3)*6 + -3)**2 + -1. 36*sqrt(19) + 692 Simplify 6*(1*sqrt(1210))/(sqrt(98) + sqrt(98) + (sqrt(98) - sqrt(98)*-1) + sqrt(98)). 66*sqrt(5)/35 Simplify (sqrt(156)/sqrt(3))**2 + -5 + sqrt(364)/sqrt(7)*1. 2*sqrt(13) + 47 Simplify ((sqrt(275) - (-2*sqrt(275) - sqrt(275)))*-2)**2. 17600 Simplify (sqrt(104)/(4*sqrt(128)))**2. 13/256 Simplify sqrt(25)/sqrt(80) + 0 + 4. sqrt(5)/4 + 4 Simplify 3 + ((1 + sqrt(300))*4)**2 + 5. 320*sqrt(3) + 4824 Simplify (-5 + sqrt(500) + (sqrt(20) - sqrt(320)*4))**2. 200*sqrt(5) + 2025 Simplify (sqrt(104) + sqrt(104)*-1*2 + sqrt(104))/((sqrt(24) + sqrt(96) + sqrt(24))/sqrt(3)). 0 Simplify (sqrt(28)/sqrt(4)*3 - sqrt(28)*2)*4. -4*sqrt(7) Simplify -3 + (sqrt(175) + -3 + 4 - sqrt(175)). -2 Simplify (sqrt(300) + (sqrt(300) - (sqrt(300) + 2)) + 4 + 1)**2. 60*sqrt(3) + 309 Simplify ((sqrt(110)*-2)/sqrt(10))**2 - (sqrt(11) + -2*sqrt(176)). 7*sqrt(11) + 44 Simplify (1*sqrt(66)/sqrt(2))/(-5*(sqrt(11) - sqrt(22)/sqrt(2) - sqrt(11))). sqrt(3)/5 Simplify (sqrt(150)/sqrt(160))/(sqrt(3)*-1*-1). sqrt(5)/4 Simplify (5*sqrt(6)/sqrt(3))**2 - ((sqrt(352) + sqrt(22))/sqrt(11) + sqrt(2)) - ((sqrt(162))**2 + sqrt(2))*-4. -2*sqrt(2) + 698 Simplify (sqrt(91)/(sqrt(28)/sqrt(4)))**2 - ((sqrt(52)/sqrt(4))**2 + 5). -5 Simplify sqrt(95)/((sqrt(60)/sqrt(3))/sqrt(4)). sqrt(19) Simplify ((sqrt(3) - sqrt(9)/sqrt(12)) + (sqrt(3) + sqrt(15)/sqrt(5))**2 + 3)*5. 5*sqrt(3)/2 + 75 Simplify -2 + 5*(sqrt(3) + 1)**2. 10*sqrt(3) + 18 Simplify ((-3*sqrt(2)*-1 + sqrt(2))*4)**2. 512 Simplify -6*sqrt(325) + (sqrt(325) - (sqrt(325) + 1)). -30*sqrt(13) - 1 Simplify (5 + sqrt(208)/sqrt(4) - (-1 + sqrt(5200)))**2. -216*sqrt(13) + 4248 Simplify (sqrt(960) + -2*sqrt(960))/(sqrt(36)/sqrt(3)*-5 + sqrt(12)). sqrt(5) Simplify (4*(sqrt(15) - -1*sqrt(15)) - sqrt(15) - sqrt(15))/sqrt(3). 6*sqrt(5) Simplify ((-2*(sqrt(49) + sqrt(196)))/(sqrt(49)/(sqrt(28)/sqrt(4))))**2. 252 Simplify (2 + sqrt(4500))**2. 120*sqrt(5) + 4504 Simplify 5 + 2*sqrt(432)*3. 5 + 72*sqrt(3) Simplify (-1*sqrt(612))**2 + (2*(4 + sqrt(17)))**2. 32*sqrt(17) + 744 Simplify (sqrt(19) - ((sqrt(76) + sqrt(19))**2 + 2 - sqrt(19)))*5*3. -2595 + 30*sqrt(19) Simplify (3*sqrt(1053)*-2)**2. 37908 Simplify (sqrt(60)/sqrt(12))/((sqrt(44)*1)/sqrt(11)). sqrt(5)/2 Simplify (-1 + sqrt(17))*1*-5. -5*sqrt(17) + 5 Simplify ((sqrt(95) + -1*sqrt(95) + sqrt(95) + sqrt(95))*2)/(sqrt(405)*-2). -2*sqrt(19)/9 Simplify (-3 + sqrt(252)*-3 + 4)**2. -36*sqrt(7) + 2269 Simplify (sqrt(396)*-1*3 + -2)**2. 72*sqrt(11) + 3568 Simplify ((sqrt(34) + (sqrt(34) - (sqrt(102)/sqrt(3) - sqrt(34)))*5)/sqrt(2))**2. 612 Simplify (sqrt(19) - (sqrt(57)/sqrt(48))**2 - (0 + sqrt(19))*1) + -5. -99/16 Simplify 3*(-2*(sqrt(272) + 1) - sqrt(272))**2. 144*sqrt(17) + 7356 Simplify (sqrt(1872)*-2 - sqrt(1872)) + -4. -36*sqrt(13) - 4 Simplify (sqrt(144)/sqrt(4))/sqrt(12) + -2 + -2 + sqrt(3). -4 + 2*sqrt(3) Simplify -2*(sqrt(5) + sqrt(5) + 1) + sqrt(5) + (-2*sqrt(50))/sqrt(10) + -3. -5*sqrt(5) - 5 Simplify (sqrt(2) + -2)*2 + sqrt(128)/sqrt(4) + sqrt(32). -4 + 10*sqrt(2) Simplify 6*((sqrt(3) - (sqrt(3) + sqrt(21)/sqrt(7) + sqrt(3))) + -5)**2. 120*sqrt(3) + 222 Simplify (sqrt(5)*1 - sqrt(5))**2*-5 - (-1*sqrt(320) - sqrt(320)). 16*sqrt(5) Simplify -2 + (sqrt(152) + (sqrt(152) - (sqrt(152) + (sqrt(152) - sqrt(152)*2) + sqrt(152) - sqrt(152))) + sqrt(152))/sqrt(8) + 2. 3*sqrt(19) Simplify (((sqrt(448)*-2 - sqrt(448)) + sqrt(448))*4 - sqrt(448))**2. 36288 Simplify (sqrt(450)*6)/(sqrt(10) + 1*sqrt(10)*2). 6*sqrt(5) Simplify sqrt(88)/(sqrt(8)*-2) + -3. -3 - sqrt(11)/2 Simplify 5 + 1*(4 + (sqrt(5) - ((sqrt(45))**2 + sqrt(5)))). -36 Simplify sqrt(33)/(sqrt(30)/sqrt(40) + sqrt(3)) + -2. -2 + 2*sqrt(11)/3 Simplify (-4 + sqrt(468)*1 + sqrt(468))**2. -96*sqrt(13) + 1888 Simplify 1 + ((sqrt(114)/sqrt(3))/sqrt(2) - (((sqrt(171) + (sqrt(171) - -1*sqrt(171)) + sqrt(171) + sqrt(171))/sqrt(9))**2 - sqrt(19))). -474 + 2*sqrt(19) Simplify (sqrt(833) - (sqrt(833) + sqrt(833) + 4*(sqrt(833) + (sqrt(833) - (sqrt(833) - (0 + sqrt(833)))))) - (5 + -1 + sqrt(833)))**2. 560*sqrt(17) + 83316 Simplify ((sqrt(33) + (2*sqrt(33) - sqrt(33)))*5)/((sqrt(84)/sqrt(4))/sqrt(7)). 10*sqrt(11) Simplify (sqrt(1584) + 0 - sqrt(11))**2 + sqrt(11) + sqrt(44)/(sqrt(64) - sqrt(4)). 4*sqrt(11)/3 + 1331 Simplify (-2*sqrt(363) - sqrt(363)) + (sqrt(12)*-2)/sqrt(4). -35*sqrt(3) Simplify (sqrt(96)*-2)/(-2*sqrt(432)). sqrt(2)/3 Simplify 3 + (sqrt(132) - 2*sqrt(132))/sqrt(12) + (sqrt(11) + -1)**2*-4. -45 + 7*sqrt(11) Simplify (sqrt(22)*1 - sqrt(22))/sqrt(11)*-5 + 3. 3 Simplify (sqrt(912) + -1*sqrt(912))/sqrt(3). 0 Simplify -4*((sqrt(108) + -2 - sqrt(108)) + sqrt(108))*1. -24*sqrt(3) + 8 Simplify (-1*1*sqrt(24))/((sqrt(96)*-2)/sqrt(8)). sqrt(2)/2 Simplify (((6*sqrt(99) + sqrt(99))*-6 - sqrt(99)) + sqrt(99))**2. 174636 Simplify (sqrt(363) - (-2 + sqrt(363)*-2))**2. 132*sqrt(3) + 3271 Simplify (sqrt(1088) - (-5 + (sqrt(1088) - (0 + sqrt(1088)))))**2 - (1*sqrt(1088) + 2). 72*sqrt(17) + 1111 Simplify (sqrt(704) + 0 + -1 + sqrt(704))**2. -32*sqrt(11) + 2817 Simplify sqrt(114)/(sqrt(6) - -5*-2*sqrt(6)). -sqrt(19)/9 Simplify 3*(-3 + sqrt(125)) - (5 + -3*sqrt(125)). -14 + 30*sqrt(5) Simplify 6*sqrt(51)/((sqrt(108) - (sqrt(108) + sqrt(108)*1 + sqrt(108))) + sqrt(108) - sqrt(108)). -sqrt(17)/2 Simplify ((sqrt(132)/sqrt(4)*-2)/(sqrt(300)*-2))**2. 11/100 Simplify (4 + sqrt(1100) + 2*(sqrt(1100) + 3 + sqrt(1100)))**2. 1000*sqrt(11) + 27600 Simplify ((sqrt(156) - sqrt(156)*2*5)/(sqrt(1452)*-2))**2. 1053/484 Simplify (-5 + sqrt(605))*1. -5 + 11*sqrt(5) Simplify sqrt(11) + (-2*sqrt(11) + 3)**2 + sqrt(11) + sqrt(11) + 5 + (sqrt(77)/sqrt(7))**2. -9*sqrt(11) + 69 Simplify (sqrt(14)/(sqrt(7)*2) - (1*sqrt(2)*-3)**2) + 5 + sqrt(2) + sqrt(242) + 1*sqrt(242). -13 + 47*sqrt(2)/2 Simplify (-4 + sqrt(500)*-1 + sqrt(500))**2. 16 Simplify 4*(-5 + (sqrt(209)*-2 + sqrt(209))/sqrt(11) + (sqrt(171) + sqrt(19))*-3 + sqrt(19)). -48*sqrt(19) - 20 Simplify ((sqrt(132)*2)/sqrt(11))/((2*sqrt(66))/sqrt(11)). sqrt(2) Simplify (sqrt(2448) + 2)**2*5. 240*sqrt(17) + 12260 Simplify (sqrt(2160) + sqrt(2160)*-1)/sqrt(5). 0 Simplify (sqrt(50) - ((sqrt(100) - sqrt(100)*2 -
{ "pile_set_name": "DM Mathematics" }
- 2)*(11 + 13). Solve 26*m = 29*m + g for m. -3 Suppose 0 = 4*v + 28. Let s be -1 - (-145)/7 - 2/v. Let f(n) = n**3 - 21*n**2 + 20*n + 10. Let q be f(s). Solve -m = m + q for m. -5 Let q = -5330 + 5366. Solve -322*x + 331*x = q for x. 4 Suppose -b + 6 = 2*t, 2*b = -3*b + 10. Let f(n) = -n**3 + 18*n**2 + 43*n - 47. Let x be f(20). Suppose x*r = -5*r + 6*r. Solve -g - 6 + t = r for g. -4 Let d(k) = -k**2 + 30*k - 208. Let y be d(16). Solve y*p - 10*p = 11*p for p. 0 Suppose 0 = 5705*a - 5715*a + 11180. Solve -1127*w - 45 = -a*w for w. -5 Suppose -326*t = -33043 + 10875. Solve 16*n - t = -n for n. 4 Let z = -408 - -439. Solve -z*y - 35 = -159 for y. 4 Let s(x) = -76*x**3 - x**2 + 1. Let r be s(-1). Suppose 8*o = r - 4. Solve 10*v - 13*v - o = 0 for v. -3 Let q = -2 - -3. Let t = -7768 + 7769. Solve -t - q = -v for v. 2 Suppose -5*y + 34 = 19, 4*y - 12 = -5*s. Solve s = -12*q - 40 + 28 for q. -1 Let o = 1125 + -448. Suppose h + o - 687 = 0. Solve 0 = -3*t - 2 - h for t. -4 Let t(u) = -4*u + 8. Let h(x) = x**2 - 6*x + 6. Let r be h(4). Let i be -6*((-3)/(-45) + r/5). Let q be t(i). Solve q = g + 4*g for g. 0 Let m be (16 - 15)/(2/8). Let f be (7 - 4) + m/2. Suppose o + 12 = f*i, -3*o = -6*o + 3*i. Solve 6 - 3 = o*g for g. 1 Suppose u + 11 = -j, -3*j + 2*u = -0*j + 38. Let c be 4 - (j/3 - -5). Suppose l + c*l = 0. Solve -9 = 3*n - l for n. -3 Let p = -6982 + 6985. Suppose -10 = -4*x - 2. Solve -s - x = -p*s for s. 1 Let z = -3 - -9. Let u be (0 + 2)*(0 + (-114)/(-76)). Solve -u*c = z + 3 for c. -3 Suppose -2*t - 3*w + 15 = 0, -3*w + 12 = -t + 6. Let x be (0 - (-10 + t)) + 1. Solve 21*k - 19*k - x = 0 for k. 4 Let w(a) be the first derivative of a**3/3 - 2*a**2 - 16*a + 14. Let u be w(6). Let k be ((-220)/33)/(u/6). Solve -j + k = j for j. 5 Let p be (-231)/(-308) + 970/8. Suppose -78 - p = -25*q. Solve -q + 1 = -7*z for z. 1 Let q(z) = 2*z**2 + 0*z**2 - 47 + 16 - 14*z. Let k be q(9). Solve k*r = -2*r - 21 for r. -3 Suppose -43 = -l + 46. Let c = l - 81. Suppose c*m = 10*m - 4. Solve -m = -x - 7 for x. -5 Let q(x) = 6*x**2 - x - 7. Let a(j) = -5*j**2 + 7. Let u(k) = 4*a(k) + 3*q(k). Let n be u(0). Solve 9 + n = 4*h for h. 4 Suppose l = -2*w - 24, 4*l - w = -3*w - 66. Let u = -2 - l. Solve -4*g = -u - 0 for g. 3 Suppose -9*f + 75 + 42 = 0. Let s(m) = -11*m + 147. Let p be s(f). Solve 0 = -a - 0*a + p for a. 4 Suppose w - 53 = -49. Suppose 0 = -5*s + 5*f - 9 - 1, -4*s + f = -w. Let v(y) = -y**2 - 13*y + 5. Let t be v(-13). Solve -23 = t*o + s for o. -5 Let n = -309 - -319. Let k be (3 - (-7 + 10)) + n. Solve -3*v = -v - k for v. 5 Let r(q) = 10*q**2 + 6*q - 12. Let l be r(3). Let x be (-4)/(-7) - l/(-28). Solve -x*a = -7*a for a. 0 Suppose -27 = -w - 2. Suppose w = 7*k - 10. Suppose -2*g - 6 = -5*r + 9, -2*g - 3*r = -25. Solve k*h - g = 5 for h. 2 Suppose -1994 = -5*p + 336. Let i = 469 - p. Suppose 17 = 5*c - 3*j + 1, -2 = -3*c - 2*j. Solve -i*y - 15 = c*y for y. -3 Suppose -x + 91 = 5*t, 4*x = -39*t + 44*t + 439. Solve -84 = -11*h - x for h. -2 Suppose -210*l = -240*l + 510. Solve 13*j + 16 = l*j for j. 4 Let c be 2 - (-1 - -8) - -105. Let w = -87 + c. Solve -w = -4*a - 5 for a. 2 Let i be 9/((189/(-14))/(-9)). Suppose -16 = -10*g + i*g. Solve 0 = -4*u - g*u for u. 0 Let i be 2/24*3*8. Suppose -3*v - 55 = i*v. Let q be 60/33 + (-2)/v. Solve -q + 4 = -2*n for n. -1 Let c be 6/(-9) + ((-16310)/(-21))/10. Suppose 18*m - c = 31. Solve 0 + m = 3*g for g. 2 Let i = 510 - 270. Suppose 0 = -i*t + 248*t - 40. Solve t*o = 8*o - 12 for o. 4 Suppose -2*r = -5*a + 30, -66 = -5*a - 3*r - 11. Let d be 28/a*(-72)/(-21). Let b be (-6)/d*(1 + -11). Solve -1 = -4*t - b for t. -1 Let s be (-8 - -1 - 0) + 6. Let b be (-10 + (-590)/(-60))*(1 + s). Solve b*d = 3*d + 6 for d. -2 Suppose 64*y - 372 - 1036 = 0. Solve y*w - 13*w = 0 for w. 0 Let g = -97 + 83. Let b = g - -16. Let v be 2 - 2 - -15*1. Solve -b*x = x - v for x. 5 Suppose 2*a - 6 - 4 = 0. Let z = -45 - -50. Suppose z*k + 17 = -4*h + 5*h, -4*k - 2 = 5*h. Solve -a*x = -h*x for x. 0 Let h = 2868 - 2829. Let r = 17 - 12. Suppose -2 = 4*b + 2, b = -r*x + h. Solve -3*f - x = 7 for f. -5 Let d be 8 + -1 - 0*1/6. Suppose d*p - 9 = 40. Solve 0 = -p*s + 4*s for s. 0 Let c(d) = -d**3 - 30*d**2 + 4*d + 122. Let j be c(-30). Let g be (-3)/j*(-1984)/186. Solve g*s - 18*s - 2 = 0 for s. -1 Let r be 5*(3 + (-8)/5). Suppose r*h = 3*h + 44. Suppose -s - h = -2*s. Solve 5*w + s = 1 for w. -2 Let c(q) = q**2 + 8*q + 11. Let k be c(-1). Let v be -10*(9/6)/(-3). Suppose 0 = -2*o + 11 + v. Solve -s - k + o = 0 for s. 4 Let q(u) = -u**3 - 8*u**2 + 30*u - 30. Let a be q(-11). Solve a = -3*t - 12 for t. -5 Suppose i - 5*y + 23 = 11, 3*i + 3*y + 18 = 0. Let h(w) = 2*w**2 + 18*w + 59. Let m be h(i). Solve m*g = 29*g - 4 for g. -2 Suppose 1373*n - 441 = 1364*n. Solve 15 = n*l - 54*l for l. -3 Let s = -9603 + 9667. Solve s*q - 51*q - 104 = 0 for q. 8 Suppose -49*b + 10 = 38*b + 10. Solve b = 91*p - 108*p for p. 0 Let u be (264/(-10))/((-45)/150). Suppose 90*y = u*y. Solve y*b = 2*b for b. 0 Let c(h) = 18 - 29 - h - 7*h. Suppose -5*n - 5*b - 2 = -3*b, 0 = 4*n - 3*b + 20. Let s be c(n). Solve 0*l - 20 = -s*l for l. 4 Let v = 22 + 5. Let x = v - 25. Let l be x/(-3) + (-11)/(-3). Solve -r = 2 - l for r. 1 Let w(j) = -j**3 + 5*j**2 - 5*j + 5. Suppose 56 + 42 = -2*k. Let x = 52 + k. Let g be w(x). Solve -h + g = h for h. 4 Let b(h) be the second derivative of -h**4/12 + 7*h**3/3 - 41*h**2/2 + 15*h. Let j be b(7). Solve 2*n - j = -18 for n. -5 Suppose 5*j = -15*j - 7540. Let t = j - -377. Solve t = 3*n + 6 - 18 for n. 4 Suppose -16*v + 709 = 2037. Suppose -5*r = 2*u + 171 - 3, 83 = -u - 2*r. Let j = u - v. Solve j = -4*w - 16 for w. -5 Let z be ((-182)/91)/((-144)/(-29) + -3 + -2). Solve 0 = 16*v + 26 - z for v. 2 Let o = -1179 - -1288. Solve -o*c - 57 = -90*c for c. -3 Suppose 17*h = 4*c + 19*h - 10, -4*h = 4. Let i = -34 - -34. Solve i = -z - c for z. -3 Suppose -z - 3*z = 0. Let q = 523 + -516. Suppose u - 10 + q = z. Solve u = -3*d - 6 for d. -3 Let r(o) = -10*o**2 - 36*o - 36. Let h be r(-1). Let m = 0 + 10. Let p = h + m. Solve p = 4*x - x - 9 for x. 3 Let l be (-365)/4 - (-4)/(-48)*-3. Let i = -8 - -124. Let a = l + i. Solve a = 4*p + p for p. 5 Let s = -3682 - -3702. Solve 14*f - s*f = 24 for f. -4 Let g(y) = -y**2 + 3*y + 4. Let z be g(4). Suppose -3*a + 39 = 3*v, -2*a - 3*v + 14 + 9 = 0. Let u be a + 1 + 1 + -4 + 0. Solve z = 5*p + 1 + u for p. -3 Let x = 30 - 29. Suppose -3*i + 0*i + x = -b, b - 2*i = 0. Suppose p = -0*p + 2*g, -4*g = -3*p + b. Solve 0*u - 10 = p*u for u. -5 Let n(w) = 27*w - 343. Let i be n(13). Suppose c - 16 = 5*l, 15*c - 5*l = 18*c - i. Suppose 20 = 3*x + 2*b + 2*b, 0 = b - 2. Solve x*q + c = -10 for q. -4 Let r(j) = -4*j - 13. Let o be r(-23). Suppose 29*c - o = 37. Solve 0 = 6*f - c*f for f. 0 Let d(j) = -9*j**2 + 7*j + 50. Let w be d(-5). Let i be (-8)/(-7)*w/(-60). Solve -i*f = -2*f - 6 for f. 3 Let q(b) = -3*b**3. Let i be q(-1). Suppose -29 + 59 = 5*d. Let s be (-42 + 45)*14/d. Solve i = -2*l - s for l. -5 Suppose 31*l + 700 = 37*l + 64*l. Solve 164 = -l*u + 174 for u. 1 Let w(x) = -x**2 + 8*x - 3. Let d be w(7). Suppose -d*q + 0*q - 16 = 0. Let m be q + 5 - (0 + -3). Solve 2*p - m = 2 for p. 3 Suppose -3*d + 4*b = -40, 4*d - 3*d - b = 15. Suppose 0 = -69*h + 65*h + 4. Let f be h/(-6) + (-3)/((-54)/75). Solve -8*t + d = -f*t for t. 5 Let n = -377 + 387. Solve -20*r + 30 = -n*r for r. 3 Suppose -4*v + 3*c + 452 = -42, 0 = 3*v - c - 378. Solve -68 + v = -12*b for b. -5 Suppose 1269*v - 1270*v + 2*t = -12, -v + 30 = -5*t. Solve v = 16*w - 12*w + 28 for w. -7 Let s be -6 + (-13 - -26 - 4). Solve -344 = s*v - 359 for v. 5 Let n be 0 - (2 + 0 - 4). Let h be ((n - 2)*-1)/(-1). Let y(t) = -t**2 - 19*t + 99. Let v be y(4). Solve h = -v*l + 3*l for l. 0 Let x be -33 + 48 + 0 + -1. Let n be 98/7*4/x + -1. Solve -n = -p - 0 for p. 3 Suppose -5*b + 2*i = -1789 + 5021, 2*b + 5*i + 1316 = 0. Let a = b - -663. Solve -3*y - a = -30 for y. 5 Let b(x) = 3*x**2 + 11. Let l be b(0). Suppose -22*z + l*z = -66. Solve 25*d + z = 23*d for d. -3 Suppose -2*u + 3*u - 7 = 0. Suppose 0 = -2*h - u + 23. Let a(r) = 14*r - 14. Let g be a(1). Solve g*w - 2*w + h = 0 for w. 4 Let i be ((-56)/8)/(-3 - -2). Suppose 15*l + 300*l = 17*l. Solve
{ "pile_set_name": "DM Mathematics" }
nominator of 43/12 and 52/153? 612 Calculate the common denominator of -97/324 and 109/24. 648 Calculate the lowest common multiple of 1334 and 4. 2668 Calculate the least common multiple of 112 and 126. 1008 Calculate the smallest common multiple of 34 and 68. 68 Calculate the least common multiple of 26 and 88. 1144 Calculate the common denominator of -58/33 and -7/87. 957 What is the common denominator of 37/60 and -35/582? 5820 What is the lowest common multiple of 6 and 111? 222 What is the common denominator of -41/10 and -137/378? 1890 Calculate the smallest common multiple of 24 and 8880. 8880 Find the common denominator of 3/4 and 21/226. 452 Find the common denominator of 8/35 and 1/80. 560 Calculate the common denominator of -85/176 and 13/198. 1584 Calculate the common denominator of 49/36 and 67/96. 288 Find the common denominator of -35/23 and 36/253. 253 Find the common denominator of -17/32 and -161/4440. 17760 What is the common denominator of -65/1611 and 13/1969? 17721 Find the common denominator of -49/249 and -25/18. 1494 Calculate the smallest common multiple of 76 and 16. 304 What is the least common multiple of 5016 and 5016? 5016 What is the smallest common multiple of 861 and 63? 2583 Find the common denominator of 41/11 and -37/1709. 18799 What is the lowest common multiple of 130 and 30? 390 What is the common denominator of -55/6 and 7/5? 30 Calculate the lowest common multiple of 2412 and 2680. 24120 What is the smallest common multiple of 72 and 380? 6840 Calculate the least common multiple of 4 and 38. 76 What is the least common multiple of 1531 and 8? 12248 What is the least common multiple of 96 and 15? 480 Find the common denominator of 79/630 and -11/840. 2520 Calculate the common denominator of 16/35 and -163/12030. 84210 Find the common denominator of 63/130 and -45/637. 6370 Calculate the least common multiple of 60 and 120. 120 Find the common denominator of 11/10 and 25/3468. 17340 Calculate the least common multiple of 416 and 1352. 5408 Find the common denominator of 29/12 and -115/20304. 20304 Calculate the common denominator of 50/13623 and -1/5. 68115 What is the lowest common multiple of 456 and 855? 6840 Calculate the lowest common multiple of 40 and 64. 320 Calculate the lowest common multiple of 20 and 32. 160 Find the common denominator of -79/310 and -32/217. 2170 Find the common denominator of 89/4 and -51/32. 32 What is the common denominator of 113/18 and -52/33? 198 What is the common denominator of 93/10 and 87/3640? 3640 What is the common denominator of -99/14 and 61/238? 238 What is the least common multiple of 80 and 88? 880 Calculate the least common multiple of 210 and 174. 6090 Calculate the lowest common multiple of 1656 and 36. 1656 What is the lowest common multiple of 77 and 77? 77 Calculate the common denominator of 79/2 and -97/650. 650 What is the common denominator of -19/16 and -117/20? 80 What is the lowest common multiple of 736 and 736? 736 Find the common denominator of -107/2686 and -65/4. 5372 Find the common denominator of -3/8 and -99/4166. 16664 What is the smallest common multiple of 18 and 144? 144 Calculate the common denominator of 7/580 and 53/10. 580 Find the common denominator of 59/57 and -101/38. 114 What is the lowest common multiple of 152 and 32? 608 Calculate the common denominator of -11 and 37/87. 87 What is the common denominator of 27/416 and -17/32? 416 Calculate the smallest common multiple of 500 and 1200. 6000 Calculate the least common multiple of 64 and 1416. 11328 Calculate the smallest common multiple of 1142 and 11. 12562 What is the least common multiple of 12 and 3842? 23052 What is the common denominator of -43/76 and 43? 76 Calculate the lowest common multiple of 60 and 220. 660 Calculate the common denominator of 44/9 and 48/47. 423 Calculate the lowest common multiple of 2400 and 1200. 2400 Calculate the common denominator of -41/1380 and 89/36. 4140 What is the least common multiple of 32646 and 7? 228522 Calculate the common denominator of 83/96 and 57/16. 96 Calculate the least common multiple of 68 and 1173. 4692 Calculate the lowest common multiple of 4 and 18. 36 Find the common denominator of -103/198 and -123/20. 1980 What is the least common multiple of 110 and 979? 9790 What is the common denominator of 53/28 and 47/8? 56 What is the common denominator of -77/1070 and 79/3424? 17120 Calculate the least common multiple of 9502 and 10. 47510 What is the common denominator of -47/53 and -61/86? 4558 Calculate the common denominator of 5/4518 and -119/120. 90360 Calculate the least common multiple of 25 and 6. 150 What is the smallest common multiple of 456 and 2774? 33288 Calculate the common denominator of -101/6 and 47/1048. 3144 What is the smallest common multiple of 2349 and 7? 16443 What is the common denominator of 25/361 and 23/2? 722 Calculate the least common multiple of 318 and 9. 954 What is the common denominator of -101/66 and 117/220? 660 Find the common denominator of -61/9 and -43/2687. 24183 Calculate the lowest common multiple of 20 and 52. 260 Find the common denominator of -50/171 and 113/48. 2736 Calculate the smallest common multiple of 90 and 300. 900 What is the least common multiple of 392 and 1274? 5096 Find the common denominator of 163/2016 and -29/36. 2016 What is the smallest common multiple of 52 and 92? 1196 Calculate the least common multiple of 50 and 430. 2150 What is the common denominator of 53/55 and 83/90? 990 What is the common denominator of -109/56 and 85/32? 224 Calculate the smallest common multiple of 32 and 32. 32 Calculate the common denominator of -109/168 and 111/112. 336 Calculate the least common multiple of 42 and 22. 462 Find the common denominator of -103/124 and 73/6. 372 Find the common denominator of 21/404 and 77/303. 1212 Calculate the smallest common multiple of 9 and 96. 288 What is the lowest common multiple of 1260 and 180? 1260 What is the least common multiple of 913 and 1245? 13695 What is the smallest common multiple of 33 and 18524? 55572 What is the common denominator of 11/32 and -35/24? 96 Calculate the common denominator of 31/14 and -95/231. 462 Calculate the common denominator of 95/262 and 43/9. 2358 What is the least common multiple of 45 and 85? 765 What is the common denominator of 11/357 and -24/35? 1785 Calculate the least common multiple of 320 and 2. 320 Calculate the common denominator of 71/22 and 43/242. 242 What is the common denominator of 1/66 and 39/847? 5082 Calculate the least common multiple of 952 and 392. 6664 Calculate the smallest common multiple of 164 and 32. 1312 What is the least common multiple of 2 and 7226? 7226 What is the common denominator of -127/90 and -127/90? 90 What is the lowest common multiple of 204 and 1932? 32844 What is the lowest common multiple of 99 and 39? 1287 What is the common denominator of -155/84 and -59/21? 84 Find the common denominator of 103/1620 and 77/12. 1620 What is the common denominator of -63/10354 and 79/4? 20708 What is the common denominator of -25/22 and -23/548? 6028 Calculate the common denominator of 73/360 and -173/90. 360 Calculate the smallest common multiple of 9 and 687. 2061 Calculate the common denominator of -13/1399 and 15/4. 5596 What is the common denominator of -85/26 and 5/3? 78 Find the common denominator of -95/56 and 67/16. 112 What is the lowest common multiple of 4004 and 624? 48048 Calculate the common denominator of 83/1980 and -187/360. 3960 What is the least common multiple of 40 and 4610? 18440 What is the smallest common multiple of 83 and 21? 1743 Calculate the lowest common multiple of 130 and 741. 7410 Calculate the common denominator of 149/570 and 49/60. 1140 What is the common denominator of 29/6 and 3/280? 840 What is the smallest common multiple of 31 and 1302? 1302 Find the common denominator of -43/72 and 37/81. 648 Calculate the common denominator of -113/10 and -97/980. 980 What is the common denominator of 49/25630 and -13/2? 25630 Calculate the common denominator of -17/60 and 43/282. 2820 Calculate the common denominator of 109/44 and 139/708. 7788 Calculate the least common multiple of 70 and 77. 770 Calculate the lowest common multiple
{ "pile_set_name": "DM Mathematics" }
n three letters picked without replacement from oyyyooiyoyio. 5/132 What is prob of sequence lt when two letters picked without replacement from {l: 1, f: 1, a: 2, d: 5, t: 7, v: 1}? 7/272 Calculate prob of sequence sss when three letters picked without replacement from {p: 2, s: 3}. 1/10 Two letters picked without replacement from {e: 5, p: 1, q: 2, l: 1}. What is prob of sequence qq? 1/36 Two letters picked without replacement from bbbbbbuubbbbbuuuubu. Give prob of sequence ub. 14/57 Two letters picked without replacement from zrrzuxxzcz. Give prob of sequence zc. 2/45 What is prob of sequence vlvn when four letters picked without replacement from unvlluvllullmm? 1/2002 Four letters picked without replacement from swsslwzzzwwzlzbsb. What is prob of sequence wwss? 3/1190 Calculate prob of sequence kfc when three letters picked without replacement from hvvkhfkcmkcv. 1/220 What is prob of sequence hv when two letters picked without replacement from hvghnn? 1/15 Two letters picked without replacement from mvtmvvtvv. What is prob of sequence vm? 5/36 Two letters picked without replacement from gggpgppppppg. Give prob of sequence gp. 35/132 Three letters picked without replacement from {z: 4, g: 4, q: 1, u: 1, r: 3}. Give prob of sequence ugg. 1/143 Four letters picked without replacement from fafffa. What is prob of sequence faaf? 1/15 What is prob of sequence jj when two letters picked without replacement from jjjq? 1/2 Four letters picked without replacement from ebbndnql. What is prob of sequence blbd? 1/840 Two letters picked without replacement from cttccc. What is prob of sequence tt? 1/15 Two letters picked without replacement from ddzgzsszszd. What is prob of sequence dz? 6/55 What is prob of sequence bg when two letters picked without replacement from bdggb? 1/5 What is prob of sequence qi when two letters picked without replacement from {u: 1, n: 1, q: 1, r: 2, i: 1, f: 1}? 1/42 What is prob of sequence vvn when three letters picked without replacement from {d: 1, p: 3, q: 3, n: 1, v: 2, y: 2}? 1/660 Two letters picked without replacement from aamaamaaa. What is prob of sequence aa? 7/12 What is prob of sequence uf when two letters picked without replacement from zfhhhhzhgfufh? 1/52 What is prob of sequence coao when four letters picked without replacement from acaooacaaoaocaoc? 1/78 Calculate prob of sequence pl when two letters picked without replacement from ylapaplyaylylll. 2/35 What is prob of sequence xii when three letters picked without replacement from xxxosdyoyiiy? 1/220 Three letters picked without replacement from aooaaavavazoooae. Give prob of sequence eza. 1/480 Calculate prob of sequence cs when two letters picked without replacement from csyzaccyzyaacccacy. 7/306 Calculate prob of sequence buu when three letters picked without replacement from bbbbbbbuubbbubbbbb. 5/272 Calculate prob of sequence eef when three letters picked without replacement from {w: 1, e: 2, n: 1, g: 1, f: 2, v: 2}. 1/126 Calculate prob of sequence jp when two letters picked without replacement from jjjpjjjjjjjjjjj. 1/15 Four letters picked without replacement from {u: 2, h: 10}. Give prob of sequence hhuu. 1/66 What is prob of sequence ke when two letters picked without replacement from {e: 1, k: 1, b: 1, g: 1, r: 1}? 1/20 What is prob of sequence vvv when three letters picked without replacement from vccvvccvvc? 1/12 What is prob of sequence dlls when four letters picked without replacement from wwwiwswddlwdwlwd? 1/5460 Three letters picked without replacement from mmmhmmmhmm. What is prob of sequence hmm? 7/45 What is prob of sequence uv when two letters picked without replacement from {e: 2, v: 1, u: 1, l: 5, d: 1}? 1/90 Calculate prob of sequence yy when two letters picked without replacement from iyyiiyyiyyy. 21/55 Calculate prob of sequence mu when two letters picked without replacement from ukskmskukukkm. 1/26 Calculate prob of sequence ua when two letters picked without replacement from aaauuauuuauau. 7/26 Four letters picked without replacement from vcvccccvvc. What is prob of sequence cvvv? 1/35 Four letters picked without replacement from oooxxxxxoh. Give prob of sequence xxhx. 1/84 Calculate prob of sequence alza when four letters picked without replacement from {a: 3, l: 2, z: 3}. 3/140 Three letters picked without replacement from {w: 1, t: 1, m: 1, h: 2}. Give prob of sequence mhh. 1/30 Three letters picked without replacement from toohe. What is prob of sequence tho? 1/30 Two letters picked without replacement from rjjrjjjrrrrj. Give prob of sequence jj. 5/22 What is prob of sequence yuq when three letters picked without replacement from qyu? 1/6 Four letters picked without replacement from {x: 2, a: 3}. What is prob of sequence aaxa? 1/10 What is prob of sequence doo when three letters picked without replacement from duodouuuooduu? 3/143 Four letters picked without replacement from {g: 1, w: 13, d: 3}. Give prob of sequence dwdg. 13/9520 What is prob of sequence yj when two letters picked without replacement from hwlajyhhjwjjhlh? 2/105 Calculate prob of sequence jt when two letters picked without replacement from {n: 4, j: 1, t: 4, q: 2}. 2/55 Two letters picked without replacement from {k: 3, m: 1}. Give prob of sequence km. 1/4 What is prob of sequence ooll when four letters picked without replacement from olllllllloo? 7/165 Two letters picked without replacement from yyzuuzzyyyyzuyu. What is prob of sequence zu? 8/105 Calculate prob of sequence wu when two letters picked without replacement from sssiwuwwwuduwssws. 9/136 What is prob of sequence fxp when three letters picked without replacement from akfxbpk? 1/210 What is prob of sequence yxg when three letters picked without replacement from {w: 1, b: 1, g: 2, x: 2, n: 1, y: 1}? 1/84 Two letters picked without replacement from {h: 1, l: 2}. Give prob of sequence ll. 1/3 What is prob of sequence ndx when three letters picked without replacement from nddnxxxdnxxn? 1/22 What is prob of sequence ssw when three letters picked without replacement from sowscossssssss? 15/364 Two letters picked without replacement from {i: 3, p: 2, n: 1, e: 5, d: 1}. What is prob of sequence ne? 5/132 Three letters picked without replacement from rrxkfrkfjjfjjjrjxc. Give prob of sequence rcr. 1/408 Three letters picked without replacement from vlvlulvll. Give prob of sequence vlv. 5/84 What is prob of sequence jsjj when four letters picked without replacement from {l: 3, s: 2, j: 4, t: 4, i: 3}? 1/910 Calculate prob of sequence nnll when four letters picked without replacement from {n: 6, p: 4, l: 10}. 15/646 Calculate prob of sequence hhhh when four letters picked without replacement from {h: 10}. 1 Calculate prob of sequence vaf when three letters picked without replacement from qfsasdv. 1/210 Two letters picked without replacement from {w: 2, o: 2, h: 6, d: 3}. Give prob of sequence wd. 1/26 Calculate prob of sequence rus when three letters picked without replacement from urs. 1/6 What is prob of sequence dd when two letters picked without replacement from dzzd? 1/6 Three letters picked without replacement from bli. What is prob of sequence lib? 1/6 Two letters picked without replacement from fbbf. Give prob of sequence bb. 1/6 Calculate prob of sequence lw when two letters picked without replacement from wplpyaj. 1/42 What is prob of sequence vooo when four letters picked without replacement from ooovooovo? 5/36 What is prob of sequence dyh when three letters picked without replacement from {y: 1, d: 1, h: 1, x: 1, e: 1}? 1/60 What is prob of sequence vvl when three letters picked without replacement from lvllvvlllvl? 14/165 Calculate prob of sequence vj when two letters picked without replacement from {j: 5, k: 2, v: 4, o: 2, z: 1}. 10/91 Two letters picked without replacement from {x: 10, m: 10}. Give prob of sequence mm. 9/38 Three letters picked without replacement from {n: 1, h: 1, t: 3, y: 3, p: 6}. Give prob of sequence tpp. 15/364 Two letters picked without replacement from oaooobbbooobbbboobob. What is prob of sequence bb? 18/95 Two letters picked without replacement from {x: 3, r: 2, k: 2, i: 5}. What is prob of sequence xi? 5/44 Three letters picked without replacement from svvss. Giv
{ "pile_set_name": "DM Mathematics" }
. Which is smaller: a or -6? a Let t = 17 + -69/4. Let n = 1010 - 969. Is n equal to t? False Let u(a) = 6*a**2 + 32*a - 32. Let k be u(1). Let t be (64/(-960))/(((-4)/(-2))/k). Which is smaller: -21 or t? -21 Let z(i) = i**3 - 12*i**2 + 4*i - 7. Suppose -34*j - 69 + 477 = 0. Let d be z(j). Which is bigger: 40 or d? d Let b(u) = 5*u + 59. Suppose -35*d = -16*d. Let q be b(d). Is 57 at least q? False Suppose -n + 3 = 101*b - 99*b, 2*b - 2*n = -12. Suppose -3*v = -4*r - 1, -v = 2*r + 4 - 1. Does b = v? True Suppose 4954 - 4954 = -24*s. Which is bigger: s or -13/178? s Suppose -3*z + 248 = z. Suppose -8364 = -15*a - 7449. Is z equal to a? False Let a be ((-9605)/40)/(-1) + (-3)/24. Suppose 3*k + 5*l + 154 - 8 = 0, -5*l - a = 5*k. Which is smaller: -46 or k? k Let v = 0.9 - 1.9. Let t = 0.112 - 104.112. Let l = t + 103.84. Is l greater than v? True Let p be (1/2 - 0)*(26 - (15 + 11)). Which is smaller: -2/19269 or p? -2/19269 Let w = -9328 + 9382. Which is smaller: w or 277/5? w Let o = -5922 - -5923. Is o at least as big as -8/2397? True Suppose 2*i + 3 = -2*p + 19, -2*i + 4 = -p. Suppose -4*a = 14*f - 10*f - 8, 0 = -4*a - 4. Suppose 0 = 3*n - 5*w - 1 - f, 0 = -4*w + i. Which is bigger: 1 or n? n Suppose -3*q = t + 86, 404 = 166*t - 171*t - 2*q. Which is smaller: t or 19? t Suppose -552 = -4*g + 2*w, 3*g = -3*w + 492 - 60. Suppose -13*s = -3*s - g. Let y be 4/(-1*(s/(-4) + 3)). Which is bigger: y or 17/2? 17/2 Suppose -80*l - 151*l - 316 = 85*l. Which is smaller: l or 2/49949? l Suppose 0 = -q + 65 - 83. Which is bigger: q or -31? q Let u(v) = v**3 - 21*v - 17. Let b be u(-4). Let z be (-2)/(9 - -3)*b. Which is greater: 1/13 or z? 1/13 Let y be (28/(-232) - 0)/(0 + (-18 - 1)). Is y bigger than 0? True Let r = 16215 + -16213. Which is smaller: -36.42 or r? -36.42 Let w be (-1)/(14/24) - (-25)/((-100)/(-8)). Is 334.8 smaller than w? False Let g = -23703 - -23811. Which is bigger: g or 1198/11? 1198/11 Let n be (-557 + 555)*(2/5)/(4/5). Which is bigger: -6/1783 or n? -6/1783 Let u(b) = b**2 + 12*b + 37. Let r be u(-6). Let s(k) = 341*k**2 + 3*k. Let i be s(r). Suppose 5*a = a - i. Is a smaller than -86? False Let d(l) = 2*l**2 + 14*l + 26. Let v be d(-5). Suppose 2*z + v = 0, 174 = -5*n + 4*z + 1386. Suppose 9 = -3*p, -3*f - 5*p + 4*p = -n. Is 82 less than f? False Suppose -32*y + 28*y - 10640 = 0. Let i be 4/(-14) - 732/y. Is i bigger than -1? True Let g be 2*(-96)/(-9)*351/26. Is g at most 0.06? False Let i be (14/36)/(19/228)*5337/(-6). Is i less than -4152? False Let c be (3/6)/(146/(-44384)). Is c less than 16? True Let z = 8365 + -8343. Is z less than -197? False Let v = 0.87 - 0.97. Which is greater: -368.2 or v? v Let h = -69 - -88. Let r = h + -23. Which is bigger: r or -3? -3 Let q = -35017811191/44460 + 7088624/9. Let l = q + 9/52. Let b = -2 - -3. Which is bigger: l or b? b Let t = -4397 + 17577/4. Let g = -0.8 - -0.9. Is g at least t? True Suppose 0 = -5*c + 5*n - 80, 0 = -3*n + 10 + 2. Which is smaller: c or -171? -171 Let n = -179930 - -7737426/43. Is 10 at most n? True Let a(y) be the second derivative of -y**4/3 - 9*y**3/2 + 7*y**2/2 - 33*y. Let c be a(-7). Is -2/53 <= c? True Suppose -v - 12 = 2*v. Let g be ((-6)/(-4))/(-18 + (-7623)/(-420)). Let n(s) = s**2 - 23*s + 127. Let o be n(g). Is v <= o? True Let v = -485 - -420. Let f = v - -63. Is f at most as big as -37/12? False Let l = 8 + -7.3. Suppose 0 = -4*c - 18*c + 7326. Let f = 333 - c. Which is smaller: f or l? f Let w = -0.00456 + 0.10456. Let b = -307 - -213. Which is smaller: w or b? b Let b be 11/88*(77 - 8/8). Suppose r + 47 = 5*x, -2*x - x + 4*r = -35. Which is smaller: x or b? x Let u be 117216/(-414) + (-52)/(-13). Is -278 at least as big as u? True Suppose 0 = 22*s + 159*s - 1367 + 10417. Which is greater: -44 or s? -44 Let l = -255632/15 + 17036. Let u = 55/3 + l. Do 1/6 and u have different values? True Let l = 588 + -579. Let h(q) = -q**3 + 9*q**2 + q - 10. Let o be h(l). Which is smaller: 2/239 or o? o Let q = -93 + 73. Let m be (-131)/(-524) + 289*1/q. Is -13 greater than m? True Let w be (4/(-10))/((-1)/65). Let a be 0 - (1 - 30/w). Which is greater: 0.9 or a? 0.9 Suppose 6 = -37*u + 43*u. Let w be (-100)/14 + u*2/14. Let l(f) = f - 4. Let d be l(0). Is d >= w? True Let d = 0.113 + -96.013. Let m = d - -100. Let o = -30.1 + m. Which is smaller: o or 1? o Suppose -3*h = -4*u - 11, 2*h - 3*u = h + 7. Which is smaller: 1/212 or h? 1/212 Suppose -4348 = -13*s - 1423. Let b be ((-6)/s)/(4 + 26/(-6)). Do b and 1 have the same value? False Suppose -4*q + 0*q - 336 = 3*g, -5*q - 420 = 2*g. Let h be (2/8)/(9/q). Let a be 2/(-4)*(-4)/32*(-139 + 107). Is h smaller than a? True Let c(a) be the first derivative of 2 - 1/4*a**4 - 1/2*a**2 + 5*a**3 + 6*a. Let h be c(15). Which is smaller: -1/4 or h? h Let l = -1449621/209 - -6936. Let r be (-1)/(-3) - 56/42. Are l and r unequal? True Suppose -66*a + 2124 + 1176 = 0. Which is bigger: 2/13 or a? a Let f = -49 + 64. Suppose 16*k - 2 = f*k. Suppose -3*x + 4*a + 2 = -4, 0 = -k*x + a + 4. Which is greater: x or 7/12? x Let p = -275541/26 - -10596. Which is smaller: p or -2? -2 Suppose -15*i - 798 = -i. Let b = i - -56. Do b and -3/100 have the same value? False Let y(n) = -n**3 + 2*n**2 + 3. Let g be y(2). Suppose -p = -g*p - 0*p. Suppose -j = -3*c + 16, -2*c + 6 = -p*c. Which is bigger: -9 or j? j Let h be 51 + ((-1)/4)/((-88)/(-1056)). Which is smaller: h or 74? h Let g be (-343 + 344)*(-2)/(-2). Let t = -3/13459879 + 14321326787/69681793583. Let r = -2/167 + t. Are g and r nonequal? True Let j be 1689 + -1 - (-1 - -4). Suppose -j = 2*n + 865. Let o = -34429/27 - n. Is 0 less than or equal to o? False Suppose 0*k - 4*k = h - 14, 4*k - 20 = -4*h. Let p be h*(-9)/12*-4. Suppose -2*d + 55 = -5*b, d = -3*b + p*b + 32. Which is smaller: b or -63/8? b Let q(w) = 7 + 0 - 2*w + 2 - 1. Let j be q(3). Let k = -7.74 + 8.1. Which is bigger: k or j? j Let m(d) = -d**3 - 12*d**2 + 11*d - 13. Let y(v) = -v**2 + 19*v. Let x be y(19). Let n(l) = -l - 13. Let z be n(x). Let b be m(z). Which is smaller: 5 or b? 5 Let f be (-1)/(-3) + (-4 - 437/(-120)). Let z(x) = -x**2 - 10*x - 10. Suppose -17 = -4*p - u - 56, -5*u - 33 = 2*p. Let y be z(p). Is y bigger than f? False Let l be -6 - (6/213)/((-6)/1284). Suppose 24*d - 15*d = -18. Is d less than or equal to l? True Suppose 3*c + 5*z = -2310, -4*c - 2*z + 0*z = 3080. Let w(k) = 46*k - 171. Let h be w(-13). Is c < h? True Let n(t) = t**3 - 3*t**2 + t - 4. Let a be n(3). Let r be (a - (-3)/9)*-192. Suppose -5*h = -8 + r. Which is smaller: h or -23? h Let l = 3/14047 + -58758607/28094. Which is smaller: l or -2093? -2093 Let u be (-170)/376*192/(-80). Which is greater: -1 or u? u Let c be ((-3244)/(-780)*5)/(393/(-6)). Let q = c - -8/131. Is q < -1? False Let y be (-3731)/585*(-4)/14. Let k = y - -26/15. Which is smaller: k or 4? k Let v = -11684 + 11435. Which is greater: -3246/13 or v? v Let o(t) = -29*t**3 - 2*t**2 - 2*t - 1. Let g be o(-1). Let v be 3 + (-4)/(g/69). Let p = v - -830/119. Are p and 2 equal? False Let x = 864 - 619. Is x greater than or equal to -1/4? True Let u be (-1)/28*14/(-12). Suppose 2*c + 44 = 2*v, -2*v + 46 = -3*c - 4*v. Let z be 2 - 20/8 - (-3)/c. Which is greater: z or u? u Let y be (-56)/(-20) + -2*1. Let u(o) = -1980*o + 17835. Let s be u(9). Which is greater: s or y? s Let x(d) = 9*d + 147. Let w be x(-12). Suppose -5*k - w = -94. Which is bigger: k or -2.3? k Let v = -2 + 2.01. Let z = -43811.95 + 43812. Is z <= v? False Let n be (-873160)/654600 + (9 - 8 - (-1)/3). Which is smaller: n or -1? -1 Suppose -4*w - 3*b = -59, -5*b - 1557 + 1562 = 2*w. Which is smaller: 169/8 or w? w Let i = 1.3092 + -0.1092. Let x = -140 - -704/5. Which is greater: x or i? i Suppose -2*p = 5*a + 56, -64 = 3*p + 3458*a - 3453*a. Which is smaller: 8/465 or p? p Let z = -2646683.954 - -2644402. Let t = -2287 - z. Let g = t - -0.046. Is g smaller than -0.1? True Suppose -133*x + 315 = -88*x. Which is smaller: 302/51 or x? 302/51 Let w = 185 - 184. Let q be (w/((-10)/44))/((-8)/10). Which is smaller: 6 or q? q Suppose 0 = -h + 3*c + 174, 3*c - 146 = -h + 28. Suppose -m + 157 = h. Is m at most -19? False Let x(c) = -c**3 - c + 22. Let l be x(0). Let y be (3/l)/(6/8). Let s = 5740 - 5740. Which
{ "pile_set_name": "DM Mathematics" }
v, 2 a, and 1 j when four letters picked without replacement from ajjajjaayyjvjby? 12/455 Calculate prob of picking 3 v when three letters picked without replacement from vnvgnnvvvvgnv. 35/286 Three letters picked without replacement from flhfyhk. What is prob of picking 1 f, 1 h, and 1 y? 4/35 Three letters picked without replacement from tpfjq. What is prob of picking 1 t, 1 f, and 1 q? 1/10 Four letters picked without replacement from {w: 3, r: 3, c: 1, k: 1, p: 2}. What is prob of picking 1 p and 3 w? 1/105 Calculate prob of picking 2 m and 1 a when three letters picked without replacement from {w: 6, j: 2, m: 3, a: 5, i: 1}. 3/136 What is prob of picking 1 n and 1 d when two letters picked without replacement from {n: 2, w: 1, f: 1, d: 5}? 5/18 Two letters picked without replacement from {d: 2, t: 4, s: 7, o: 2, h: 3}. Give prob of picking 2 t. 2/51 Two letters picked without replacement from {c: 4, z: 3}. Give prob of picking 1 z and 1 c. 4/7 Three letters picked without replacement from {c: 2, r: 1, y: 1, v: 3, n: 4}. What is prob of picking 2 c and 1 n? 4/165 What is prob of picking 1 a and 1 w when two letters picked without replacement from aadoadawdo? 4/45 Three letters picked without replacement from uddpspspspxvuuvppdsd. What is prob of picking 1 d and 2 v? 1/285 Calculate prob of picking 2 o, 1 r, and 1 q when four letters picked without replacement from qccorooocoroocooorr. 15/323 Calculate prob of picking 1 i and 1 m when two letters picked without replacement from wpiiwbwppmbiom. 6/91 What is prob of picking 2 j when two letters picked without replacement from gjggjggj? 3/28 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, h: 16}. 1/153 Two letters picked without replacement from {v: 5, x: 1, e: 5, s: 2, p: 5}. What is prob of picking 1 v and 1 e? 25/153 Two letters picked without replacement from euuueueuueufu. Give prob of picking 1 e and 1 f. 2/39 Two letters picked without replacement from ioobooioii. Give prob of picking 2 i. 2/15 Two letters picked without replacement from {q: 12, f: 3}. Give prob of picking 2 f. 1/35 What is prob of picking 3 e when three letters picked without replacement from eccccecececce? 5/143 What is prob of picking 1 a and 1 c when two letters picked without replacement from waaaaccafaahaaahlc? 10/51 Two letters picked without replacement from wsuhukscc. Give prob of picking 1 u and 1 k. 1/18 Two letters picked without replacement from {i: 1, k: 2, c: 2, m: 2, p: 4, v: 1}. What is prob of picking 1 k and 1 m? 2/33 What is prob of picking 3 o when three letters picked without replacement from {z: 1, x: 1, o: 3, l: 5, g: 3, q: 2}? 1/455 Two letters picked without replacement from uirrrixiirprriipgx. What is prob of picking 1 p and 1 g? 2/153 What is prob of picking 1 u, 1 c, and 1 s when three letters picked without replacement from scascccuascasssaaaa? 10/323 Calculate prob of picking 2 o and 2 r when four letters picked without replacement from {r: 2, o: 10}. 1/11 Three letters picked without replacement from bewbweeeeevejde. Give prob of picking 1 w, 1 v, and 1 e. 16/455 Two letters picked without replacement from {x: 2, g: 1, c: 4, u: 7}. Give prob of picking 1 x and 1 u. 2/13 Three letters picked without replacement from tqqftftfffqfftfqt. Give prob of picking 3 q. 1/170 Three letters picked without replacement from {k: 4, c: 2, o: 2, t: 1}. Give prob of picking 2 o and 1 c. 1/42 Calculate prob of picking 2 e and 1 o when three letters picked without replacement from hwohhwehwohwh. 0 Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {x: 5, p: 2, i: 3, v: 5, y: 1}. 1/24 Calculate prob of picking 1 a, 1 w, and 1 x when three letters picked without replacement from wiaiikwkixiiiiii. 1/280 Two letters picked without replacement from {i: 1, d: 19}. Give prob of picking 2 d. 9/10 Three letters picked without replacement from {w: 3, o: 2}. What is prob of picking 2 w and 1 o? 3/5 What is prob of picking 4 o when four letters picked without replacement from {o: 4}? 1 Two letters picked without replacement from {o: 16, b: 4}. Give prob of picking 2 o. 12/19 Three letters picked without replacement from {b: 4, a: 7}. Give prob of picking 1 a and 2 b. 14/55 What is prob of picking 1 t and 2 z when three letters picked without replacement from {s: 2, t: 1, n: 3, z: 6, a: 2}? 15/364 Calculate prob of picking 3 i when three letters picked without replacement from jijiijiijj. 1/12 Calculate prob of picking 3 f when three letters picked without replacement from {e: 3, f: 15}. 455/816 Calculate prob of picking 4 m when four letters picked without replacement from ummmuuuuumum. 1/99 What is prob of picking 2 g and 2 e when four letters picked without replacement from {r: 1, t: 1, g: 2, e: 3}? 3/35 Two letters picked without replacement from {l: 6, v: 4}. What is prob of picking 2 v? 2/15 What is prob of picking 1 k and 1 j when two letters picked without replacement from {j: 7, k: 2}? 7/18 What is prob of picking 2 u when two letters picked without replacement from uymuuuuuu? 7/12 Three letters picked without replacement from ffffffffppfffpffpfff. What is prob of picking 3 p? 1/285 Two letters picked without replacement from {w: 1, x: 7, p: 2, q: 1, j: 8}. Give prob of picking 1 w and 1 p. 2/171 Two letters picked without replacement from {f: 17, j: 3}. Give prob of picking 2 j. 3/190 Four letters picked without replacement from {b: 7, l: 5}. Give prob of picking 2 b and 2 l. 14/33 Three letters picked without replacement from {q: 4, c: 8, x: 5, z: 2}. What is prob of picking 2 x and 1 z? 20/969 Two letters picked without replacement from sxsxssqqssxxx. Give prob of picking 2 q. 1/78 Calculate prob of picking 2 e when two letters picked without replacement from {c: 2, e: 5, q: 3}. 2/9 Calculate prob of picking 1 c, 1 v, and 1 j when three letters picked without replacement from {r: 1, c: 4, j: 4, h: 7, v: 1, b: 2}. 16/969 What is prob of picking 1 w and 1 o when two letters picked without replacement from {w: 5, o: 11}? 11/24 Two letters picked without replacement from eellelqqekqleel. What is prob of picking 1 e and 1 k? 2/35 Calculate prob of picking 1 o and 1 f when two letters picked without replacement from ofpddddfdpfdfd. 4/91 Calculate prob of picking 2 i when two letters picked without replacement from ebbebeebibbbebbbbib. 1/171 Calculate prob of picking 2 b when two letters picked without replacement from bvbbbbbbbbbbbbbbbb. 8/9 Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {u: 1, i: 3, t: 13}. 3/680 Three letters picked without replacement from jjjmmjjjjm. Give prob of picking 1 j and 2 m. 7/40 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from ititxviotoxxhxi. 4/105 Calculate prob of picking 1 b and 2 g when three letters picked without replacement from {g: 11, b: 1, w: 5}. 11/136 Two letters picked without replacement from {m: 7, r: 7}. What is prob of picking 2 m? 3/13 Three letters picked without replacement from {e: 2, v: 1, y: 1, k: 3}. Give prob of picking 1 v, 1 k, and 1 y. 3/35 Calculate prob of picking 1 k and 2 h when three letters picked without replacement from {h: 4, q: 1, k: 1, d: 1, j: 2}. 1/14 Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 1, c: 1, m: 2, k: 1}. 1/5 Three letters picked without replacement from eeeiffifffifi. Give prob of picking 1 e and 2 f. 45/286 Two letters picked without replacement from {y: 2, o: 1, x: 1, p: 1, l: 2, e: 1}. Give prob of picking 1 x and 1 y. 1/14 Four letters picked without replacement from {c: 1, p: 1, n: 3, d: 2}. Give prob of picking 1 d, 2 n, and 1 c. 6/35 Two letters picked without replacement from {z: 1, r: 1, x: 2}. Give prob of picking 1 x and 1 z. 1/3 Two letters picked without replacement from mmmmxmbbcmmrb. What is prob of picking 1 x and 1 b? 1/26 What is prob of picking 1 l, 1 x, and 1 o when three letters picked without replacement from lxoolooooox? 28/165 Two letters picked without replacement from bbbpppp. Give prob of picking 1 b and 1 p. 4/7 What is prob of picking 1 y and 1 w when two letters picked without replacement from ywmyw
{ "pile_set_name": "DM Mathematics" }
the remainder when 59305677 is divided by 5391423. 24 What is the remainder when 600253 is divided by 299807? 639 What is the remainder when 23357758 is divided by 3356? 3354 Calculate the remainder when 114548 is divided by 2664. 2660 Calculate the remainder when 949056 is divided by 4721. 135 Calculate the remainder when 17845498 is divided by 36. 10 What is the remainder when 1756892 is divided by 351341? 187 Calculate the remainder when 1901941 is divided by 288. 277 What is the remainder when 85050 is divided by 18951? 9246 Calculate the remainder when 75089 is divided by 1669. 1653 What is the remainder when 1179084 is divided by 34? 32 Calculate the remainder when 373994 is divided by 3388. 1314 What is the remainder when 153473 is divided by 105? 68 What is the remainder when 79159 is divided by 12637? 3337 Calculate the remainder when 1163375148 is divided by 98. 96 What is the remainder when 170390013 is divided by 1077? 1074 Calculate the remainder when 833050 is divided by 2844. 2602 What is the remainder when 2292671 is divided by 64? 63 What is the remainder when 396475 is divided by 69? 1 What is the remainder when 7683408 is divided by 1333? 1329 Calculate the remainder when 4500 is divided by 2820. 1680 Calculate the remainder when 208565 is divided by 208471. 94 Calculate the remainder when 10977733 is divided by 40. 13 Calculate the remainder when 36989807 is divided by 1894. 1881 Calculate the remainder when 130857 is divided by 32484. 921 Calculate the remainder when 1357673 is divided by 79. 58 Calculate the remainder when 207287 is divided by 41431. 132 Calculate the remainder when 6677248 is divided by 487. 478 What is the remainder when 150621 is divided by 9358? 893 What is the remainder when 1736776 is divided by 3042? 2836 What is the remainder when 1575425 is divided by 92535? 2330 Calculate the remainder when 183478 is divided by 13099. 92 Calculate the remainder when 8496311 is divided by 70. 61 What is the remainder when 72116 is divided by 947? 144 Calculate the remainder when 20804687 is divided by 167. 161 What is the remainder when 4021774 is divided by 17410? 64 What is the remainder when 3345000 is divided by 295? 290 What is the remainder when 59651 is divided by 2710? 31 What is the remainder when 63543 is divided by 202? 115 Calculate the remainder when 165385949 is divided by 72. 5 Calculate the remainder when 593459912 is divided by 6874. 6870 What is the remainder when 6229631 is divided by 94? 63 Calculate the remainder when 3314529 is divided by 159. 15 Calculate the remainder when 1025554 is divided by 587. 65 What is the remainder when 244017 is divided by 10592? 401 Calculate the remainder when 2051203 is divided by 293009. 140 What is the remainder when 59318754 is divided by 76? 70 Calculate the remainder when 76840 is divided by 2474. 146 Calculate the remainder when 23534906 is divided by 265. 256 Calculate the remainder when 15904 is divided by 13342. 2562 What is the remainder when 3240139 is divided by 21892? 123 What is the remainder when 18660 is divided by 8224? 2212 Calculate the remainder when 9232863 is divided by 3366. 3291 Calculate the remainder when 3006065 is divided by 2201. 1700 What is the remainder when 3652336 is divided by 2996? 212 Calculate the remainder when 15330640 is divided by 2814. 2782 Calculate the remainder when 29498360 is divided by 65. 60 Calculate the remainder when 7035649 is divided by 1172602. 37 Calculate the remainder when 74303 is divided by 8131. 1124 What is the remainder when 97463 is divided by 571? 393 What is the remainder when 12313975 is divided by 18? 13 What is the remainder when 1030152 is divided by 6819? 483 What is the remainder when 3022700 is divided by 88? 76 What is the remainder when 21966 is divided by 407? 395 Calculate the remainder when 14044559 is divided by 4681514. 17 Calculate the remainder when 4284889 is divided by 1036. 1029 Calculate the remainder when 7967 is divided by 1323. 29 Calculate the remainder when 408371 is divided by 2460. 11 Calculate the remainder when 380886 is divided by 598. 558 What is the remainder when 31731411 is divided by 64? 19 What is the remainder when 8721430 is divided by 324? 322 Calculate the remainder when 16373505 is divided by 29. 18 Calculate the remainder when 252130724 is divided by 343. 342 What is the remainder when 38750868 is divided by 33? 24 Calculate the remainder when 877490 is divided by 22. 20 What is the remainder when 812358 is divided by 406035? 288 What is the remainder when 3058 is divided by 2563? 495 Calculate the remainder when 121508 is divided by 30113. 1056 Calculate the remainder when 7343034 is divided by 97907. 9 What is the remainder when 608812481 is divided by 8533? 8530 What is the remainder when 121365 is divided by 140? 125 Calculate the remainder when 49466153 is divided by 5. 3 Calculate the remainder when 3028572 is divided by 1630. 32 What is the remainder when 3780936 is divided by 945234? 0 What is the remainder when 6373618 is divided by 10605? 13 Calculate the remainder when 466488 is divided by 412. 104 What is the remainder when 87489065 is divided by 7953550? 15 Calculate the remainder when 2399718 is divided by 1199852. 14 Calculate the remainder when 73991 is divided by 71508. 2483 Calculate the remainder when 159271068 is divided by 1474732. 12 What is the remainder when 14562 is divided by 7064? 434 Calculate the remainder when 17166593 is divided by 11. 4 Calculate the remainder when 148542 is divided by 5807. 3367 Calculate the remainder when 427635 is divided by 2047. 1859 What is the remainder when 2015794 is divided by 83990? 34 What is the remainder when 18241538 is divided by 4003? 3870 Calculate the remainder when 53910 is divided by 2. 0 Calculate the remainder when 38659947 is divided by 9. 6 What is the remainder when 253466 is divided by 2531? 366 What is the remainder when 5296395 is divided by 3557? 22 Calculate the remainder when 1213208 is divided by 154. 150 What is the remainder when 59056373 is divided by 2770? 2743 Calculate the remainder when 25519005 is divided by 130. 5 Calculate the remainder when 719243 is divided by 6850. 6843 Calculate the remainder when 30143781 is divided by 15071869. 43 Calculate the remainder when 1550214 is divided by 103335. 189 What is the remainder when 559879 is divided by 279917? 45 Calculate the remainder when 2034331 is divided by 286. 13 Calculate the remainder when 780915045 is divided by 7068. 7065 Calculate the remainder when 27544 is divided by 24679. 2865 Calculate the remainder when 78329 is divided by 3420. 3089 What is the remainder when 575697 is divided by 4265? 4187 What is the remainder when 2977138 is divided by 992367? 37 Calculate the remainder when 449576 is divided by 2680. 2016 Calculate the remainder when 143285 is divided by 1796. 1401 What is the remainder when 34551224 is divided by 17275604? 16 What is the remainder when 8019808 is divided by 90? 88 What is the remainder when 2827 is divided by 906? 109 Calculate the remainder when 3654379 is divided by 3654360. 19 What is the remainder when 18836 is divided by 1220? 536 Calculate the remainder when 816919 is divided by 4834. 4807 Calculate the remainder when 2516229 is divided by 13. 1 Calculate the remainder when 16979 is divided by 3313. 414 What is the remainder when 23808656 is divided by 60? 56 What is the remainder when 3327292 is divided by 194? 192 Calculate the remainder when 109751 is divided by 79. 20 What is the remainder when 380478 is divided by 78? 72 What is the remainder when 17402145 is divided by 13? 7 Calculate the remainder when 70262036 is divided by 826. 824 Calculate the remainder when 255939 is divided by 2939. 246 What is the remainder when 40237429 is divided by 27? 4 Calculate the remainder when 21647246 is divided by 2. 0 What is the remainder when 835813 is divided by 3941? 321 What is the remainder when 33636303 is divided by 356? 355 Calculate the remainder when 50785091 is divided by 9. 8 What is the remainder when 280254 is divided by 63? 30 Calculate the remainder when 9716049 is divided by 922. 13 What is the remainder when 253865 is divided by 3429? 119 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
es 6444? -24570972 Multiply -5.37 and -4240. 22768.8 What is -4.133 times 4496? -18581.968 Work out 0.3 * -0.022717038. -0.0068151114 142397*-1225 -174436325 -0.5*-116691678 58345839 0.8472978 times -7 -5.9310846 Work out 0.26682 * -62.66. -16.7189412 1623.5721 * -0.5 -811.78605 Product of 3409202 and 3. 10227606 0.9385 * 2.188 2.053438 What is -3616250 times 0.02? -72325 What is the product of 3 and 1416075.3? 4248225.9 -1381 * -2419 3340639 Product of -4.25 and -56.1845. 238.784125 What is the product of -0.4 and 279.8459? -111.93836 Calculate 145.386*-0.3. -43.6158 -96.28*-51.6 4968.048 Work out 14096191 * 1. 14096191 Work out 25347 * 38.48. 975352.56 What is the product of -24389132 and -0.3? 7316739.6 -1.2 times -20984.4 25181.28 Multiply 112.0145 and 3.8. 425.6551 Product of -101 and -393779. 39771679 Calculate -28*1730.215. -48446.02 2.8973304 times 0.2 0.57946608 Calculate 1311.8*-282. -369927.6 What is the product of 0.5 and -4988776? -2494388 What is the product of 271719 and -0.308? -83689.452 Calculate 7*-0.20206487. -1.41445409 Work out -0.0258 * 74.11. -1.912038 Multiply -3284 and 2198.9. -7221187.6 Multiply 4.6 and 16026.83. 73723.418 -0.0130284 times -633 8.2469772 What is 6.257 times 0.028? 0.175196 Work out -7 * -2603302. 18223114 Calculate 0.350498*0.18. 0.06308964 What is 0.2 times 1180770.56? 236154.112 Product of 54.115 and -0.051. -2.759865 What is 13842 times 123? 1702566 What is -0.2 times 340106.2? -68021.24 Work out 0.081 * -19.09712. -1.54686672 What is 14151684 times 21? 297185364 -87.48*-2.6 227.448 What is -0.4 times -16408743? 6563497.2 0.4 * 4505697 1802278.8 0.09807771 times 34 3.33464214 What is 5.1 times 846.86? 4318.986 -6264.2 * -224 1403180.8 Product of 1 and 11.084046. 11.084046 What is 0.04388 times 30365? 1332.4162 0.42594476 * 0.03 0.0127783428 Multiply 4 and -153108.51. -612434.04 -3.1*32985513 -102255090.3 Work out -0.2415351 * -0.06. 0.014492106 Product of 6760860 and -6. -40565160 21869 times 642 14039898 Calculate -1.77*-2538. 4492.26 Product of -78.1 and 31929. -2493654.9 Work out -892632 * -0.128. 114256.896 Product of -7.4 and 14290.38. -105748.812 Multiply 2668 and -70.02. -186813.36 What is the product of 3543 and 0.08509? 301.47387 -95860 * -0.05 4793 What is the product of 7538296 and 0.17? 1281510.32 What is -7452 times 4.5312? -33766.5024 What is the product of -0.056 and -1696783? 95019.848 What is the product of 0.23 and 2929.48? 673.7804 -960694874 times 0 0 -548 * 0.702 -384.696 Multiply -298 and -26579. 7920542 What is -119962.091 times 0.4? -47984.8364 Product of 719555 and -2. -1439110 Multiply -4 and 57.377546. -229.510184 Calculate -0.1*103353.83. -10335.383 2354176 times -9 -21187584 -0.86 times -1237.8294 1064.533284 -4151 * -21919 90985769 Work out -0.15 * 0.0724868. -0.01087302 Multiply 0.4 and 0.18538486. 0.074153944 What is the product of -220535.8 and -0.6? 132321.48 Product of -12731702 and 0.1. -1273170.2 1 times 0.5216671 0.5216671 What is the product of -1.26 and -0.978? 1.23228 What is -2 times 1379470? -2758940 8 times -565424 -4523392 -0.4*-58267.538 23307.0152 Work out 0.3 * 139617577. 41885273.1 What is 28 times 3661? 102508 -0.07 times -6991668 489416.76 40.67*-3094 -125832.98 386037 * 310 119671470 -198289.6 times -46 9121321.6 243560.4*0.018 4384.0872 Calculate -49923*4732. -236235636 872.4275 * -7 -6106.9925 Work out -365988 * -0.086. 31474.968 1 * 180861247 180861247 61 times 3652718 222815798 Product of -0.5 and 0.09932002. -0.04966001 What is 132.9 times -139.452? -18533.1708 What is -77 times -1268500? 97674500 Work out 5726 * 34.88. 199722.88 106.829*59 6302.911 2106043*-0.1 -210604.3 Calculate -11.86251*-0.47. 5.5753797 -259041282*3 -777123846 Multiply 4900 and -9491. -46505900 Product of -485 and -44.0612. 21369.682 -5061.92*-185 936455.2 0.3 * 34.42867 10.328601 Multiply -802299 and -1.23. 986827.77 Product of -32.53301 and -0.5. 16.266505 -1.747018 * 0.28 -0.48916504 Work out 9 * -32443417. -291990753 Work out 0.089 * 0.0904135. 0.0080468015 -3 * -27973326 83919978 -363.81 times 0.357 -129.88017 Calculate -16094*-0.053. 852.982 Multiply -10 and 3680.777. -36807.77 0.03 * 0.2792259 0.008376777 49683*-640 -31797120 Calculate 0.7*3968360. 2777852 Work out 12046693 * 1.2. 14456031.6 -127834 * 9640 -1232319760 Product of -0.162 and -155970. 25267.14 -124.2806 * -4 497.1224 Calculate 591081*-0.1. -59108.1 -88 times 0.0611078 -5.3774864 What is 376460 times -0.3? -112938 Calculate -1410*2.596. -3660.36 Multiply 0.5 and 776164. 388082 Product of 139 and 0.309019. 42.953641 0.02299 * 114 2.62086 Calculate -3562*-0.64163. 2285.48606 What is the product of -0.078 and -4589.5? 357.981 Work out 0.21 * -1038286. -218040.06 Calculate 0.09043036*0.1. 0.009043036 Calculate 38315*-1038. -39770970 Multiply -712870 and 3. -2138610 0.4*121720207 48688082.8 Product of -60339 and 126. -7602714 0.076 * 72541 5513.116 -0.2303 * -0.116481 0.0268255743 0.06 * -27219.82 -1633.1892 What is 733 times -7471.3? -5476462.9 What is 3.5754 times -251? -897.4254 0.0337923 times 178 6.0150294 Work out 108246702 * -0.1. -10824670.2 -62483*-269 16807927 Calculate 0.2*52707137. 10541427.4 -15.967912*-6 95.807472 253399828 times 4 1013599312 What is 195652 times 81? 15847812 Calculate 0.0468*125.434. 5.8703112 -3159346*-4 12637384 -0.48*-0.25972 0.1246656 -3299735*-3.5 11549072.5 What is the product of -717.6 and 3.0279? -2172.82104 Multiply 0.3443749 and 0.4. 0.13774996 Product of 1345394 and -0.04. -53815.76 What is the product of 2.4096 and 10? 24.096 Calculate -345.69805*-8. 2765.5844 Calculate 1093*-2994. -3272442 Multiply -5010.62 and 0.5. -2505.31 Product of -0.481 and 184.1. -88.5521 Multiply 1270 and 3.317. 4212.59 What is the product of -8 and -0.016761756? 0.134094048 Calculate -85628*58.2. -4983549.6 764479 times 139.4 106568372.6 Multiply -32 and -2.174105. 69.57136 -18501*-0.684 12654.684 161302.33 * 3 483906.99 -713 times 50939 -36319507 Work out 1192732 * 9. 10734588 What is the product of -3.2 and -2265516? 7249651.2 176688*13 2296944 Work out 997481 * -0.5. -498740.5 What is the product of 7.4 and -0.0505? -0.3737 Product of 6280.099 and -0.1. -628.0099 Work out -972654.3 * -4. 3890617.2 Product of 1944 and -1984. -3856896 Multiply -5.9 and 1.089413. -6.4275367 Product of 1156 and -3135.25. -3624349 Work out -24.5 * 36627. -897361.5 84460 * -2.05 -173143 What is the product of 740.2 and -6.267? -4638.8334 Work out -1599 * 9.02. -14422.98 -4 times 0.1595189 -0.6380756 What is -19.4 times 27283.5? -529299.9 What is the product of 0 and 12.400589? 0 159407.28*6 956443.68 Multiply -7 and 219689. -1537823 What is the product of -226 and -25.6725? 5801.985 Product of -0.072 and 4.98694. -0.35905968 -1387.303*-14 19422.242 Work out -5.3568 * 0.08. -0.428544 Calculate -3675.0208*5. -18375.104 -1.0433*-3860 4027.138 Calculate 0*4238.2658. 0 -100 times -156260 15626000 40978593 * 1.2 49174311.6 Multiply 143128.386 and 0.5. 71564.193 What is the product of -505.3256 and 0.4? -202.13024 -93 * -12458.73 1158661.89 3220391 times -5 -16101955 What is 0.1378 times 549676? 75745.3528 What is the product of -6204 and 19862? -123223848 -553 * 8638 -4776814 Calculate 6*-2437842. -14627052 0.14*5650 791 What is the product of 0.12668149 and -13? -1.64685937 -389.07 times -1.05 408.5235 26.0903*-27 -704.4381 Multiply -9 and -22589622. 203306598 Calculate -3259*-3892. 12684028 5.71874635*-0.4 -2.28749854 -5259347 times 5.8 -30504212.6 Product of 1984790 and -11. -21832690 What is 1.345 times -13142? -17675.99 -3 times 5.6088136 -16.8264408 Multiply 0.11 and 1575078. 173258.58 -0.317*-2907 921.519 Product of -0.2 and -104162518. 20832503.6 Work out 82117919 * -2. -164235838 Product of -21156119 and 0.4. -8462447.6 Calculate -100.96*-294. 29682.24 What is the product of 286263613 and -4? -1145054452 Work out -0.2 * -2302485.2. 460497.04 Calculate -0.5*13.5276219. -6.76381095 What is 81904 times -0.2035? -16667.464 What is the product of -22 and -9312179? 204867938 Work out -9 * -13605837. 122452533 Product of -338.759 and -165. 55895.235 Calculate 5.2215288*-0.1. -0.52215288 What is the product of 0.11 and 1522027? 167422.97 0.0063763*-0.5 -0.00318815 Calculate -0.066*-0.0812324. 0.0053613384
{ "pile_set_name": "DM Mathematics" }
}? 13/1224 Four letters picked without replacement from {r: 2, b: 3, m: 2, u: 5}. Give prob of sequence mbbm. 1/990 What is prob of sequence hw when two letters picked without replacement from {f: 4, e: 1, h: 1, j: 4, w: 9}? 1/38 Two letters picked without replacement from {b: 1, r: 2, y: 1}. Give prob of sequence rb. 1/6 Calculate prob of sequence bp when two letters picked without replacement from bnnnbnpbbnbnn. 5/156 Four letters picked without replacement from tjgjggjg. Give prob of sequence jjjt. 1/280 Three letters picked without replacement from xmxmmxxmmmmmxmmm. What is prob of sequence mmm? 33/112 Three letters picked without replacement from ftbfwnfbebft. Give prob of sequence fbf. 3/110 Calculate prob of sequence gb when two letters picked without replacement from bgzzbzzbzzbzbzbbzg. 7/153 What is prob of sequence pee when three letters picked without replacement from epeetpbee? 5/63 Two letters picked without replacement from duozdoudoofdouu. What is prob of sequence zu? 2/105 Four letters picked without replacement from {r: 1, a: 1, o: 3, k: 2}. What is prob of sequence kaok? 1/140 Four letters picked without replacement from vvzkkbzvbbjczbb. What is prob of sequence ckzj? 1/5460 Two letters picked without replacement from fiiffifffffiiiiififf. Give prob of sequence fi. 99/380 What is prob of sequence lx when two letters picked without replacement from yxxlixxxl? 5/36 What is prob of sequence eqyy when four letters picked without replacement from {g: 1, e: 2, q: 4, y: 6}? 2/143 Four letters picked without replacement from {k: 3, n: 3, p: 5, f: 1, v: 2, r: 6}. Give prob of sequence nnpf. 1/3876 Calculate prob of sequence kck when three letters picked without replacement from kkkkkcckkkk. 8/55 Four letters picked without replacement from {n: 1, z: 4, q: 2, k: 2}. What is prob of sequence znqz? 1/126 Calculate prob of sequence efe when three letters picked without replacement from eteeswf. 1/35 Three letters picked without replacement from tetttttsvshspvtte. What is prob of sequence hvs? 1/680 Three letters picked without replacement from {h: 3, v: 11}. What is prob of sequence vvv? 165/364 Calculate prob of sequence mo when two letters picked without replacement from wtmjjioo. 1/28 Calculate prob of sequence spm when three letters picked without replacement from {p: 1, s: 2, q: 1, f: 1, d: 1, m: 1}. 1/105 Calculate prob of sequence yx when two letters picked without replacement from {y: 1, s: 1, p: 1, x: 1, z: 1}. 1/20 Three letters picked without replacement from {x: 1, v: 3}. What is prob of sequence vvv? 1/4 Four letters picked without replacement from bfafybfypbua. Give prob of sequence yaab. 1/990 Calculate prob of sequence yyss when four letters picked without replacement from syysyssyss. 1/14 Calculate prob of sequence mm when two letters picked without replacement from {m: 4, i: 3, j: 1}. 3/14 Four letters picked without replacement from ussuoeosut. Give prob of sequence ssot. 1/420 Calculate prob of sequence lll when three letters picked without replacement from lrlllrrllrrlrrll. 3/20 Four letters picked without replacement from hdcgrhg. What is prob of sequence gghd? 1/210 Four letters picked without replacement from {j: 3, s: 2, c: 2, l: 3, m: 5}. What is prob of sequence mllj? 1/364 Four letters picked without replacement from {d: 2, b: 10, x: 6}. Give prob of sequence xdxd. 1/1224 Two letters picked without replacement from {o: 1, w: 1, h: 3, v: 3, q: 4, g: 5}. Give prob of sequence gh. 15/272 Three letters picked without replacement from {h: 3, c: 12}. Give prob of sequence chh. 12/455 Four letters picked without replacement from {g: 9, q: 4, c: 3}. What is prob of sequence ggcq? 9/455 Three letters picked without replacement from {e: 6, p: 8, a: 1}. What is prob of sequence aep? 8/455 What is prob of sequence dill when four letters picked without replacement from {i: 5, m: 5, d: 5, a: 1, l: 2}? 5/7344 Two letters picked without replacement from {d: 3, b: 2, q: 3, r: 4, p: 1, j: 3}. Give prob of sequence br. 1/30 Calculate prob of sequence vsvv when four letters picked without replacement from gvvttgsgvtttt. 1/2860 What is prob of sequence dii when three letters picked without replacement from idaiiddiiadadddid? 1/17 Calculate prob of sequence uuj when three letters picked without replacement from uuuuuljuuuuuu. 5/78 Calculate prob of sequence sfi when three letters picked without replacement from mqtqsqqiqsfqfsttffit. 1/285 What is prob of sequence jl when two letters picked without replacement from iljijdsljxlix? 3/52 Two letters picked without replacement from {j: 2, h: 4, k: 1}. Give prob of sequence jj. 1/21 What is prob of sequence ddv when three letters picked without replacement from drrddrrrvrrrwdrrr? 1/340 Four letters picked without replacement from jjjniwzjijwiijjjnzn. What is prob of sequence znin? 1/1938 Calculate prob of sequence lt when two letters picked without replacement from eldlllltl. 1/12 Calculate prob of sequence mlgo when four letters picked without replacement from {m: 2, z: 1, o: 1, g: 2, x: 1, l: 2}. 1/378 Two letters picked without replacement from qowiogfiooiiigfo. What is prob of sequence qf? 1/120 What is prob of sequence vpp when three letters picked without replacement from {v: 10, p: 10}? 5/38 Three letters picked without replacement from {d: 2, h: 3, p: 2, r: 3, y: 4, e: 2}. Give prob of sequence ryy. 3/280 Two letters picked without replacement from trrtttttttttt. What is prob of sequence rr? 1/78 What is prob of sequence jjy when three letters picked without replacement from {y: 1, f: 7, w: 1, h: 2, q: 2, j: 2}? 1/1365 Calculate prob of sequence wixa when four letters picked without replacement from {x: 5, a: 1, h: 4, i: 1, w: 3}. 5/8008 Four letters picked without replacement from innzyynnyznp. What is prob of sequence zzyi? 1/1980 Four letters picked without replacement from iaaaiiaaiaiai. What is prob of sequence iiii? 3/143 Three letters picked without replacement from kkkkkuufjujkusku. What is prob of sequence jjs? 1/1680 Four letters picked without replacement from {q: 14, p: 5}. Give prob of sequence pqpp. 35/3876 Three letters picked without replacement from {q: 2, o: 17}. What is prob of sequence qoq? 1/171 What is prob of sequence kzoz when four letters picked without replacement from {o: 2, z: 2, k: 2, b: 8, r: 1}? 1/4095 What is prob of sequence wojj when four letters picked without replacement from ojwqj? 1/60 Four letters picked without replacement from {o: 2, p: 2}. Give prob of sequence poop. 1/6 Two letters picked without replacement from {a: 1, q: 3, s: 1, o: 1, z: 14}. What is prob of sequence zz? 91/190 Four letters picked without replacement from vrrxxxrvrrxx. What is prob of sequence rrvv? 1/297 Four letters picked without replacement from {c: 2, e: 8}. Give prob of sequence ceee. 2/15 Calculate prob of sequence udd when three letters picked without replacement from duudududdd. 1/6 Four letters picked without replacement from isqqqriq. What is prob of sequence qsqr? 1/140 What is prob of sequence jj when two letters picked without replacement from jijeieeqejeeeiqzeqh? 1/57 Calculate prob of sequence ulkl when four letters picked without replacement from lulllufddlklllll. 3/728 Three letters picked without replacement from ppppppqqppppppppqp. What is prob of sequence ppq? 35/272 What is prob of sequence qqqq when four letters picked without replacement from qqqqqqqqqq? 1 Calculate prob of sequence jsss when four letters picked without replacement from {j: 1, s: 3}. 1/4 Four letters picked without replacement from {n: 3, y: 2}. Give prob of sequence ynny. 1/10 What is prob of sequence ttkg when four letters picked without replacement from {g: 5, y: 1, t: 5, b: 1, k: 7, o: 1}? 35/5814 Three letters picked without replacement from vvojojjj. What is prob of sequence joj? 1/14 Two letters picked without replacement from {r: 2, j: 6}. What is prob of sequence rj? 3/14 What is prob of sequence ce when two letters picked without replacement from {c: 1, e: 4, b: 2, x: 4, u: 5}? 1/60 Four letters picked without replacement from dqdhdsqshshddsdhdsh. What is prob of sequence shqs? 25/11628 Calculate prob of sequence qss when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
2*c + 3*l - 9. Suppose -c*y + 4 = 1. Sort y, -1, w in decreasing order. y, -1, w Let w = 0.5 + 0.5. Let b = w - 6. Sort -3, b, -4 in increasing order. b, -4, -3 Let b = 8 - 12. Let z be 4 + (1*-2 - 0). Suppose 0 = -0*g - z*g + 6. Sort b, -1, g. b, -1, g Let u be ((-4)/(-3))/(14/3). Put 3, u, 1 in increasing order. u, 1, 3 Let k = -0.1 + 0.4. Suppose -f = 5*j - 13, -5*f + 4*f + j - 5 = 0. Sort k, -0.2, f. f, -0.2, k Suppose 2*z + 2*h = 25 + 29, 5*h = -10. Let l = -14 + z. Suppose -2*p + 4*i + 2 = -6, 3*p + 3*i = -l. Sort p, 0, 2 in ascending order. p, 0, 2 Let x be 396/14 - (-2)/(-7). Suppose -y - 3 = -x. Suppose -4*z - 3*u = 32, 3*z + u + y - 6 = 0. Put 5, z, -2 in decreasing order. 5, -2, z Let n be 1*((-1 - 0) + 1). Suppose n*p = -4*k + p - 19, -29 = 5*k - 3*p. Sort -3, 5, k in ascending order. k, -3, 5 Let u be (0*4/8)/(-1). Put 4, -8, u in increasing order. -8, u, 4 Let x = -23 + 21. Sort -6, -1, x in descending order. -1, x, -6 Let a be 9/2*(-3492)/189. Let j = a - -83. Sort -4, j, -2/9 in decreasing order. j, -2/9, -4 Let r be (-7)/42*4/(-3). Put r, 2/5, -3 in decreasing order. 2/5, r, -3 Let m be (-2)/(-6)*3 - -3. Suppose m*f + 5 = -f. Sort f, 3, -5 in decreasing order. 3, f, -5 Let v = 11.4 - 10.4. Sort 2/11, 0.5, v, 1/7 in increasing order. 1/7, 2/11, 0.5, v Let l be 0 - (-3 - -2) - 2. Let s = -3 - l. Put -1, s, 5 in increasing order. s, -1, 5 Let w = -799/1386 - -1/198. Sort w, -2/5, -1/4 in descending order. -1/4, -2/5, w Let v(s) = -s. Suppose 5*d + 5 = -0. Let j be v(d). Put j, -3/4, 0.1 in ascending order. -3/4, 0.1, j Let k(w) = -w - 9. Let l be k(-8). Let r be (-4 + 1)/3 - -6. Let h(b) = -b**3 - 5*b**2 + 4. Let s be h(-5). Sort l, s, r in descending order. r, s, l Let p be (-21)/14*(-4)/(-42). Let x be 3/(-12) + 1322/1768. Let y = 8/13 - x. Sort p, y, -2/3 in descending order. y, p, -2/3 Let b = 21/100 - -1/25. Sort -5, -2, 4, b. -5, -2, b, 4 Let g = 97/4 + -187/4. Let d = g + 23. Sort 1, d, -0.4 in descending order. 1, d, -0.4 Suppose 7 - 22 = -3*v. Let p = v - 7. Let l = 2/57 + -181/285. Sort 0.4, p, l in decreasing order. 0.4, l, p Let k = -4 + 3.7. Sort k, -4, -0.4 in decreasing order. k, -0.4, -4 Let q = 3 + -1. Let h(g) = -g - 6. Let i be h(-7). Suppose i = w - 3. Put q, w, -3 in decreasing order. w, q, -3 Suppose 4*h = w + 15, 2 = -w - 5*h + 14. Suppose -3 = -3*g - 6, -4*v + 6 = 2*g. Put w, v, -5 in decreasing order. v, w, -5 Let j = -0.18 + 0.07. Sort -3, -1, j in ascending order. -3, -1, j Let q = -91 - -91.5. Put -5, -0.02, q in descending order. q, -0.02, -5 Suppose o + 24 = 7*o. Let d be 2/(-8) - 9/(-4). Put -5, o, d in descending order. o, d, -5 Let l be (-6)/(24/(-20)) + -3. Sort -1, l, 0.4. -1, 0.4, l Let c(z) = z**3 + 3*z**2 + 3*z + 1. Suppose -5*g + 5*i - 2*i = 13, 2*i = 4*g + 10. Let m be c(g). Sort m, 4, -2 in descending order. 4, m, -2 Let z(y) = -y**3 - 3*y**2 + 2*y - 11. Let p be z(-4). Let h = 2 - 2. Put p, h, -2 in increasing order. p, -2, h Let s be 36/21 - 4/(-14). Let z be 10/s - (8 + -8). Sort -1, 2, z in ascending order. -1, 2, z Let h = 1 - 4. Let p = -0.05 - 0.05. Sort 0.2, h, p. h, p, 0.2 Suppose 0 = -5*a + 4 + 6. Let z be a/5 + (-2)/5. Put z, -0.1, -4 in ascending order. -4, -0.1, z Let g = 2 + -2. Suppose -4*n + 4*c = -8, 5*c + 13 = -2. Let i = -11.3 + 11. Sort g, i, n in descending order. g, i, n Let p = -118361/5 - -23596. Let d = 76 + p. Sort 5/2, d, -2 in increasing order. -2, d, 5/2 Suppose o = 2*o + 5*j + 8, 0 = -3*o + 4*j - 5. Sort o, -4, -1, 0.06. -4, o, -1, 0.06 Suppose l + 233 = -i - 119, -4*i + 20 = 0. Let o be 144/l + 4/14. Sort -1/3, o, 2/9 in decreasing order. 2/9, o, -1/3 Let y(d) = d**3 - 4*d**2 - 6*d + 4. Let t be y(5). Suppose -3*f - 3 = 3. Sort f, 0, t in decreasing order. 0, t, f Let b = 0.9 - 0.7. Let s = -0.24 - -0.25. Sort s, -1/4, b in descending order. b, s, -1/4 Let o = -7.8 - -18.8. Put 0.1, o, -0.2 in ascending order. -0.2, 0.1, o Let j(b) = b**2 + 4*b + 6. Let p be j(-4). Suppose 9 + p = 5*w. Put -1, w, 4 in decreasing order. 4, w, -1 Suppose -3*d - 2*d = 0. Sort 1, 4, d. d, 1, 4 Suppose x = -5*p - 2, 5*p - 1 = -2*x - 0*p. Sort 4, -5, x in ascending order. -5, x, 4 Let t = 6 + -4. Suppose 7 - 3 = 4*m. Sort -1, m, t in descending order. t, m, -1 Let c = 382/5 - 76. Let m = -18 + 12. Let j be m/8 - (-5)/12. Put 0, j, c in decreasing order. c, 0, j Let m(l) = -l**3 - 4*l**2 - 2*l - 3. Let w be m(-4). Let p be (w/(15/6))/(-2). Put p, 4, 3 in decreasing order. 4, 3, p Let z be (4 - (-21)/(-5))*-1. Sort -2, 0, -12, z in descending order. z, 0, -2, -12 Suppose -9 = m + 2*g, -7*m - g = -2*m + 27. Sort 1, -8, m in decreasing order. 1, m, -8 Let c be (0 + -2)*3/3. Let x be (-39)/(-6) - 1/2. Sort x, 4, c. c, 4, x Suppose 0 = -2*b - 4, 2*b = -v - v - 10. Let d be 1 - 0 - (-2 - -1). Suppose -4*s = 3*p, -s + 7*p - 2*p = -23. Put v, s, d in increasing order. v, d, s Suppose -3*r + 8*r - 10 = 0. Suppose 0*m = -r*m + 8. Let t be (4 - 2) + 16/(-7). Put m, t, 2/5 in ascending order. t, 2/5, m Let d(y) = y**3 + 3*y**2 - 8*y - 5. Let q be d(-5). Sort q, -2, -5 in descending order. -2, -5, q Let c(o) = -4*o + 5. Let m be c(4). Let w = 10 + m. Put 4, w, -2 in ascending order. -2, w, 4 Suppose 4*h = -13 + 41. Suppose -3*k - 8 - h = 0. Let s(a) = -a**3 + 7*a**2 - 6*a + 2. Let m be s(6). Sort k, m, -1 in ascending order. k, -1, m Suppose 2*d = -3*r + 2 + 3, -3*r + 17 = 5*d. Suppose 0*k - 15 = -5*k. Suppose -k*f + 13 = v - 7, -5*f = 4*v - 45. Sort d, f, 2/13. 2/13, d, f Suppose -6 = -0*s - 3*s. Suppose -s*y + 15 = y. Suppose 1 = -y*q - 4. Sort q, -2, -4. -4, -2, q Let t = -27 - -29. Sort -2, t, 0, 3 in descending order. 3, t, 0, -2 Let s be 1 - (-3 - (-1)/1). Let w = 43 + -42. Sort s, 2, w in descending order. s, 2, w Let r(h) = -h**3 - h**2 - 2*h + 4. Let p be r(1). Sort 1, 3, p. p, 1, 3 Let d be (-2)/(-9) + 40/(-18). Sort 2/3, d, 3/5. d, 3/5, 2/3 Let l = -4 + -4. Let r = l + 6. Put r, -0.3, 5/4 in descending order. 5/4, -0.3, r Let c = 181.98 - 179. Let r = c - -0.02. Let h = -0.08 + 4.08. Put r, h, -3 in descending order. h, r, -3 Let z = -63 - -66. Suppose 2*a = 5*a - 3. Sort a, 2, z in descending order. z, 2, a Let o = -0.21 + 0.81. Let j = -0.6 + o. Sort -8/9, 2, j in increasing order. -8/9, j, 2 Let o = -3 - -2.5. Let t = 4 - 2. Put 5, o, t in decreasing order. 5, t, o Let v be (2/(-387))/(1285/(-57180)). Let g = v - -2/771. Let l = g + -104/817. Sort -2/17, l, -3 in descending order. l, -2/17, -3 Let a = 5 - 6. Let h = -41 - -44. Sort h, a, 5 in ascending order. a, h, 5 Suppose -3*c = -4*u - 14, 11 = 4*c - 3*u - 3. Put 1, c, -4 in ascending order. -4, 1, c Let v(i) = -i**3 + 5*i**2 - 4*i - 1. Let x be v(4). Let z = 0 + x. Suppose 3 = -5*u + 23. Sort z, u, -2. -2, z, u Let z = -10 - -13. Put 8, 0, z in descending order. 8, z, 0 Suppose -4*v + 0*v = -32. Let i be (-18)/(-63) - v/(-21). Let g(k) = k**3 + 6*k**2 + 5*k + 2. Let x be g(-5). Put x, 1, i in increasing order. i, 1, x Let w = 1.46 - 1.16. Let p = 0.3 - 0.2. Let o = p + 0. Sort o, w, 1 in ascending order. o, w, 1 Suppose -6*f + 5*z = -f - 30, 0 = -4*f - 4*z - 16. Put f, 0, 5, 3 in descending order. 5, 3, f, 0 Let m = -11.2 + 11. Put 1/14, m, 2/5 in ascending order. m, 1/14, 2/5 Let b be 3 + (1/(-2) - 2). Let h(c) = c**2 - 10*c + 1. Let r be h(7). Let t be ((-4)/(-130))/(4/r). Sort b, t, 0.3 in descending order. b, 0.3, t Let u = -9 - -6. Let c = -1 + u. Sort -0.2, c, 1/3 in descending order. 1/3, -0.2, c Suppose 4*r = -0*r. Suppose k + 8 = 2. Let g = k - -11. Put r, 4, g in descending order. g, 4, r Let h = 0.1 + 0. Let u = -1.95 - -2.35. Put 9, h, u in descending order. 9, u, h Suppose -m - 3 = -2*m. Suppose 0 = -2*q - 5*a - 2 - m, q + 3*a = -4. Sort -2, -4, q in descending order. q, -2, -4 Let s = 1.7 - 1.8. Let t = s - -0.3. Sort t, 5, 1 in ascending order. t, 1, 5 Let f(k) = -k**3 - k**2 - k. Let t be f(-2). Suppose 3*d - 4*j = t*d - 5, 2*d - 7 = j. Sort -3, 2, d. -3, 2, d Let q(a) = a**2 - 2*a - 27. Let n be q(6). Sort n, -4, -2, 2. -4, n, -2, 2 Let i(y) = -3*y - 17. Suppose 1 = 4*n + 29. Let v be i(n). Put 1, v, -3 in descending order. v, 1, -3 Suppose -3*f = -11 + 5. Put 1, -3, f in ascending order. -3, 1, f Let t be 1 + (-2)/(-1 + 2). Let u be 15/(-6)*132/110. Sort t, u, 2 in increasing order. u, t, 2 Let n be (3 -
{ "pile_set_name": "DM Mathematics" }
50280779 less than -250280779? False Which is greater: -2099276 or -2099273? -2099273 Is -39961526 > -39961527? True Are 2/83435835 and -1 equal? False Which is smaller: -1 or -37/19811817? -1 Do 90 and -756 have the same value? False Is -13504442 less than -13504439? True Is 1 > -615/15734? True Is 632081 < 2/19? False Which is greater: 54031 or 7618352/141? 54031 Which is smaller: 1140.97 or -0.9438? -0.9438 Is 165168 less than 165186? True Which is smaller: 20021876 or 20021869? 20021869 Which is bigger: 228/6793 or -2? 228/6793 Which is greater: -17115853 or -17115850? -17115850 Which is smaller: -0.02007757 or 59? -0.02007757 Is 64772336 at least 1? True Is -180736 not equal to -4879897/27? True Is 1396569 not equal to 1396576? True Is -17168115 less than -1? True Does 8712012 = 8711990? False Which is smaller: -87/1621 or 21? -87/1621 Which is greater: -0.926247 or 0.064? 0.064 Is -11697465 at least as big as -11697482? True Which is bigger: -1 or 717/9374? 717/9374 Which is greater: 1130446.4 or 0.8? 1130446.4 Which is smaller: -27184386 or -27184425? -27184425 Is -11394980 smaller than -11394981? False Is 1893311 greater than or equal to -11/8? True Which is smaller: 1 or -31/22649819? -31/22649819 Which is greater: 3 or 54195619? 54195619 Is 38846 <= -2777? False Is -1049 >= -17422? True Are 63565023 and 63565024 unequal? True Which is smaller: -32/3005163 or -1? -1 Which is smaller: -1798705 or -1798631? -1798705 Which is smaller: -646 or -68535? -68535 Does -254/1403 = -529? False Which is smaller: -3/1559759 or 0? -3/1559759 Is 12101 less than 12371? True Is -62543612 at least as big as -62543613? True Do -119201 and -5960023/50 have different values? True Which is greater: 1 or -2/5600432193? 1 Does -1 = -521/8431? False Do 1/2 and -0.862985567 have different values? True Is -2 at least -40662/20791? False Is 3/263572217 at least 0? True Which is smaller: 76603 or 78213? 76603 Which is smaller: 5246 or 8667? 5246 Is -68046 smaller than -2109464/31? False Which is smaller: 517 or -499/311? -499/311 Is -3/10833899 bigger than 0? False Is 0.1 at least as big as -13874224? True Is -177408 greater than -177268? False Is -367500 >= 83? False Is 164562543 != -2? True Is 8.2 at most -2/176563? False Which is bigger: 4666306 or 4666291? 4666306 Which is greater: 1 or -17/5534173? 1 Is -1 >= 244/305961? False Is 15386/118551 at most 1? True Is -101619 > -101436? False Which is smaller: 118/197 or 78.68? 118/197 Is 8779 at least as big as -9979? True Which is greater: -15946994 or -15946911? -15946911 Is -83408/5 equal to -2736? False Which is smaller: 1674 or -72/41? -72/41 Is -1666571 >= -1666572? True Which is smaller: 10037370 or 10037285? 10037285 Is -244398811 <= -244398809? True Which is greater: 1 or 121764562? 121764562 Which is bigger: -237/4 or 263676? 263676 Which is smaller: -36938825 or -36938852? -36938852 Which is bigger: 424379 or 424414? 424414 Is -10/227378641 != 0? True Do -528702/431 and -1228 have different values? True Which is bigger: 2225052 or -3/5? 2225052 Which is greater: -1436/20127 or 1? 1 Which is bigger: 2 or 238384.058? 238384.058 Are 98992241 and 98992240 non-equal? True Is -1 at least as big as -143338.0882? True Which is bigger: 2180429 or 2180427? 2180429 Is 400212/131 less than 3056? True Is 6347752 less than 6347768? True Is -850874 != -10210501/12? True Which is greater: -0.36 or 2277268? 2277268 Which is smaller: 14387 or -4166? -4166 Which is greater: 2 or -6316874? 2 Is 14312 less than -0.18467? False Are -1396 and 5/3159 equal? False Are 2/51 and -3.95375 equal? False Which is bigger: 3957916 or 3957915? 3957916 Which is smaller: -597784153 or -597784151? -597784153 Is 2/9 less than -1576925? False Does 61332 = 61330? False Which is smaller: -478495 or -6/7? -478495 Is 63 at most as big as -28734? False Is 35821 greater than 35102? True Do -581494 and -581479 have the same value? False Does -573503 = -108? False Which is bigger: -15917 or -15192? -15192 Is 0.0642639105 at least as big as -1/2? True Is 558305 smaller than 3349837/6? True Do -51538 and -3881 have different values? True Is 13027720 less than 13027719? False Is -202632/4357 at most as big as -46? True Is 26571755 smaller than 26571757? True Is -91587 bigger than -90310? False Is -1 at least 122/4148369? False Which is bigger: 1212 or 4528? 4528 Is 7465467 greater than 7465470? False Which is smaller: -135 or 4228? -135 Which is bigger: -1 or -10/145907? -10/145907 Which is smaller: -5/9131 or 3554? -5/9131 Is 19 bigger than -303/56024? True Which is smaller: -22 or -645545? -645545 Which is greater: 6130533/47 or 130436? 6130533/47 Which is smaller: -80951 or -80038? -80951 Which is bigger: 45.199 or -444? 45.199 Is 68 != -965/458? True Which is greater: 47693 or 810793/17? 810793/17 Does -51593.056 = 0? False Are 670379039 and -2/7 unequal? True Which is bigger: -2/5 or 477.956? 477.956 Which is smaller: 3219713 or 3219712? 3219712 Which is smaller: 1522157 or 1522081? 1522081 Which is bigger: -408018 or -408943? -408018 Which is greater: 2202390 or 2202387? 2202390 Which is smaller: 1437674 or 1437669? 1437669 Is 0 at least -241/73908? True Is 625913 > 625928? False Is -3.6 smaller than 308813? True Is 668257361/6 != 111376226? True Which is bigger: -829/21399 or 1? 1 Is -583185137 at least as big as -583185137? True Is 2772162 less than 2772160? False Which is smaller: 1 or -58264/4459? -58264/4459 Is 86787 != 86864? True Is -198189/113 at most -0.1? True Do -1653263/22 and -75148 have the same value? False Is -97573328 not equal to 2/5? True Which is smaller: -6953/110 or -62? -6953/110 Is -11365/53 at least -7/34? False Is 1 > 25507922? False Which is smaller: 0 or 58/3580281? 0 Is 1952042 at most as big as 1952035? False Is 0 < 50/692753? True Is 0 at most 64/755821? True Which is smaller: 8863472/3 or 2954492? 8863472/3 Which is smaller: -2557/17652 or 1? -2557/17652 Is 0 less than -750/190087? False Is -79235 at least -2218553/28? False Which is smaller: 1 or 5399/10467? 5399/10467 Is -1 equal to -465.6151? False Is 361396/667 at least 542? False Is 0.13 > -1.528765? True Which is smaller: 410 or 12884? 410 Do -21674/91121 and 1 have the same value? False Is -1 bigger than -735/2615891? False Which is bigger: -49.11162 or 11? 11 Is -5/6 less than or equal to 18067/9? True Which is smaller: 25 or 252705/10418? 252705/10418 Which is greater: 299.66 or -134.3? 299.66 Which is greater: -938 or 6472? 6472 Does -7/3777 = -6195? False Are -15821 and -15390 non-equal? True Is -0.403 less than or equal to 320125? True Is 0 equal to -8/16403811? False Which is smaller: -29428 or -1146? -29428 Which is greater: -45/698632 or -1? -45/698632 Which is smaller: -36613/3228 or -11? -36613/3228 Is 205533444 equal to 205533445? False Which is smaller: 17100032 or 17100031? 17100031 Which is bigger: 4/384705317 or 1? 1 Which is smaller: -84095 or -84965? -84965 Which is smaller: 426842/1861 or 230? 426842/1861 Which is smaller: -39 or 0.4306222? -39 Which is smaller: -63143 or -6756291/107? -63143 Is -1165412/27 != -43164? True Which is smaller: 0.1 or 0.030857096? 0.030857096 Is 14 >= -14171285? True Is -1 at most as big as -3229/4935? True Is -2252 < -23581? False Are -2924 and -134537/46 non-equal? True Is -1/2 <= -9.5151? False Which is greater: -239184 or -55? -55 Which is bigger: -27323935 or -245915416/9? -27323935 Which is smaller: 1698/1011667 or 0? 0 Is 7323903 at least as big as 65915132/9? False Is -137412/1273 less than -109? False Are 22431037 and -7 equal? False Which is bigger: 5/1932317 or 0? 5/1932317 Which is smaller: 20/136819249 or -1? -1 Is -335/133293 < 0? True Is 3/2104573 at most 1? True Is -25227 at most as big as -1412683/56? True Is 1 greater than or equal to -2/3372097401? True Which is smaller: 51670.9 or -54? -54 Which is greater: -55374692 or -55374693? -55374692 Is -55 bigger than -116647? True Are 77/276506 and 1 non-equal? True Is -2321/7626 bigger than 1? False Is -5540691 at most -27703459/5? False Which is greater: -5/348 or 717/4? 717/4 Is -8 at least as big as -261783/5? True Is 28654215 at least as big as -1/18? True Which is smaller: -2/111 or 1411? -2/111 Is -12249/2792 less than or equal to -4? Tr
{ "pile_set_name": "DM Mathematics" }
placement from {n: 8, q: 3, e: 2, a: 6}? 7/969 Four letters picked without replacement from {a: 4, b: 2, k: 5}. What is prob of sequence kaka? 1/33 What is prob of sequence sk when two letters picked without replacement from {h: 1, k: 1, j: 1, r: 2, s: 8, b: 7}? 2/95 Three letters picked without replacement from ttxxtoottttxoott. What is prob of sequence xot? 9/280 What is prob of sequence rvvv when four letters picked without replacement from grvvgmvrgmgggrkkmmrv? 4/4845 What is prob of sequence fmym when four letters picked without replacement from yyfyymmfyfmf? 1/99 What is prob of sequence cycy when four letters picked without replacement from {y: 2, c: 2}? 1/6 Three letters picked without replacement from lvlhdd. Give prob of sequence vhd. 1/60 Four letters picked without replacement from vvzbv. Give prob of sequence bvvz. 1/20 Two letters picked without replacement from zqeeezzqzez. What is prob of sequence zz? 2/11 Four letters picked without replacement from {f: 7, a: 4}. What is prob of sequence ffff? 7/66 Three letters picked without replacement from bebe. What is prob of sequence bee? 1/6 What is prob of sequence mhhm when four letters picked without replacement from {h: 17, m: 2}? 1/171 Two letters picked without replacement from ckkkkkkkkcckcvkkkc. Give prob of sequence vc. 5/306 Calculate prob of sequence il when two letters picked without replacement from {e: 2, b: 3, l: 4, g: 1, i: 1, j: 1}. 1/33 Four letters picked without replacement from {z: 2, y: 8, n: 2, x: 1}. Give prob of sequence yxnn. 2/2145 What is prob of sequence tbb when three letters picked without replacement from bmbjmmmhtmtmbbm? 4/455 What is prob of sequence jx when two letters picked without replacement from xffxj? 1/10 Three letters picked without replacement from tqittttcniiiiittittm. Give prob of sequence tci. 7/760 Four letters picked without replacement from zoozoozzoo. Give prob of sequence zzzz. 1/210 Two letters picked without replacement from {m: 3, x: 4, a: 11}. Give prob of sequence ax. 22/153 Calculate prob of sequence ffq when three letters picked without replacement from qfff. 1/4 Calculate prob of sequence yh when two letters picked without replacement from gghiiiihigghbyiii. 3/272 Calculate prob of sequence jjj when three letters picked without replacement from jjjyjjyyjjj. 56/165 Two letters picked without replacement from whwhhhhihhhhhh. What is prob of sequence iw? 1/91 Calculate prob of sequence ppd when three letters picked without replacement from cpsedpi. 1/105 Two letters picked without replacement from {d: 1, l: 1, c: 3, z: 3, t: 2}. Give prob of sequence zz. 1/15 Three letters picked without replacement from qymqmyqyyyqyyyq. Give prob of sequence yym. 8/195 Four letters picked without replacement from uuuiuiiuuiuuiu. Give prob of sequence uuiu. 15/143 What is prob of sequence znz when three letters picked without replacement from {t: 2, m: 2, n: 1, z: 4}? 1/42 What is prob of sequence wwsw when four letters picked without replacement from wuuwwuwwuwwuwwwwssww? 143/4845 Calculate prob of sequence jt when two letters picked without replacement from {c: 2, b: 4, j: 6, t: 1}. 1/26 Two letters picked without replacement from zzrtk. Give prob of sequence rt. 1/20 Calculate prob of sequence rotd when four letters picked without replacement from uodortr. 1/210 Three letters picked without replacement from xjdbdcv. Give prob of sequence dcb. 1/105 Three letters picked without replacement from eexeeexeeeeeexee. Give prob of sequence xxx. 1/560 Three letters picked without replacement from dhddddddddh. Give prob of sequence ddh. 8/55 Four letters picked without replacement from dnffbffnnffy. Give prob of sequence bnfd. 1/660 What is prob of sequence uuu when three letters picked without replacement from {u: 3}? 1 Calculate prob of sequence og when two letters picked without replacement from {c: 3, o: 2, g: 1, a: 1}. 1/21 What is prob of sequence ltlh when four letters picked without replacement from {t: 1, i: 6, h: 7, l: 4}? 7/6120 Calculate prob of sequence bxns when four letters picked without replacement from sbbxssnbbs. 1/315 Three letters picked without replacement from qcsqsscsc. Give prob of sequence csq. 1/21 Four letters picked without replacement from {y: 1, n: 11}. Give prob of sequence nnnn. 2/3 Four letters picked without replacement from {s: 1, x: 3, q: 2, z: 5, e: 1, l: 1}. Give prob of sequence sqzl. 1/1716 What is prob of sequence bvzu when four letters picked without replacement from {q: 2, b: 1, u: 6, z: 8, v: 1}? 1/1530 Two letters picked without replacement from fddddfddkfdr. Give prob of sequence rk. 1/132 What is prob of sequence vtn when three letters picked without replacement from vsvsvtssnssisssoss? 1/1632 Calculate prob of sequence fwxf when four letters picked without replacement from {x: 4, w: 4, f: 2}. 2/315 Calculate prob of sequence kksc when four letters picked without replacement from sslkkskkrlklscckr. 1/238 Two letters picked without replacement from dqpzqhdddiidihddpddd. Give prob of sequence qd. 1/19 Two letters picked without replacement from qqqqqxxqqqq. Give prob of sequence xq. 9/55 What is prob of sequence ftst when four letters picked without replacement from {g: 8, t: 4, f: 5, s: 1}? 1/1224 Two letters picked without replacement from {g: 3, y: 1, d: 1, f: 3, k: 2, b: 2}. Give prob of sequence yd. 1/132 Four letters picked without replacement from {r: 4, h: 2}. What is prob of sequence rhrh? 1/15 Calculate prob of sequence rrrv when four letters picked without replacement from vvvrvrrvvrv. 7/330 Three letters picked without replacement from eiieei. What is prob of sequence eei? 3/20 Three letters picked without replacement from ovoo. What is prob of sequence ooo? 1/4 Three letters picked without replacement from ddwwwwddddd. Give prob of sequence wdw. 14/165 Two letters picked without replacement from {o: 2, s: 10, f: 5, b: 3}. Give prob of sequence oo. 1/190 Two letters picked without replacement from {c: 2, l: 1, d: 1, o: 1, x: 2}. Give prob of sequence do. 1/42 Calculate prob of sequence dde when three letters picked without replacement from {o: 4, d: 3, e: 1, p: 1, q: 1, z: 6}. 1/560 Calculate prob of sequence ed when two letters picked without replacement from qqbqeqaqedeqeqbq. 1/60 What is prob of sequence zf when two letters picked without replacement from fkkfkfkzfkzkk? 2/39 Calculate prob of sequence uuxu when four letters picked without replacement from {b: 4, u: 3, x: 7, o: 4}. 7/12240 What is prob of sequence dwdb when four letters picked without replacement from igggiwdkdgwwbgi? 1/5460 Two letters picked without replacement from mfmiy. What is prob of sequence fm? 1/10 Two letters picked without replacement from {g: 6}. Give prob of sequence gg. 1 Calculate prob of sequence rrd when three letters picked without replacement from {x: 1, t: 1, a: 3, d: 2, r: 3, c: 2}. 1/110 What is prob of sequence jbj when three letters picked without replacement from {b: 1, s: 1, j: 12}? 11/182 Two letters picked without replacement from hfhhdddhchhhz. Give prob of sequence fd. 1/52 Calculate prob of sequence rrnt when four letters picked without replacement from trjjjnjrtjrjrt. 3/2002 Calculate prob of sequence lvvl when four letters picked without replacement from {l: 3, v: 5}. 1/14 Three letters picked without replacement from {e: 2, o: 2, c: 4, z: 1}. What is prob of sequence cec? 1/21 Calculate prob of sequence apz when three letters picked without replacement from japaapzzj. 1/42 Three letters picked without replacement from xhhhhxhhhhxhhhhhhxh. What is prob of sequence xhx? 10/323 Two letters picked without replacement from {f: 17, z: 2}. Give prob of sequence fz. 17/171 Calculate prob of sequence cco when three letters picked without replacement from wwcwwcowtnc. 1/165 Two letters picked without replacement from {f: 1, t: 2, z: 1}. What is prob of sequence zf? 1/12 Two letters picked without replacement from pdphhrrrrrrrrdrrrdrp. Give prob of sequence dd. 3/190 What is prob of sequence pp when two letters picked without replacement from ppeppppepeppeppppep? 91/171 Three letters picked without replacement from nynyynnynnnny. What is prob of sequence nyn? 70/429 Two letters picked without repla
{ "pile_set_name": "DM Mathematics" }
= -l. Let y(n) = -6*n**2 - 6*n. Let w(z) = s*i(z) + y(z). Let j(u) = -u. What is w(j(a))? -6*a**2 Let s(c) = 15*c - 12*c - c. Let i(k) = 33*k. Determine i(s(y)). 66*y Let d(r) = -156*r - 2. Let y(w) = -7*w + 3. Let g(t) = 10*t - 4. Let o(n) = -3*g(n) - 4*y(n). What is o(d(h))? 312*h + 4 Let s(q) = 2*q - 7. Let a(f) = -3 + 8*f - 6*f - f + 1. Let b(k) = 14*a(k) - 4*s(k). Let y(j) = -4*j**2. What is y(b(m))? -144*m**2 Let p(j) = -53*j**2 - 4*j. Let d(h) = -9*h**2. Determine p(d(n)). -4293*n**4 + 36*n**2 Let a(c) = 9*c**2. Suppose 2 = d + d. Let t(s) = -d - 3*s + 3 - 2. Calculate t(a(x)). -27*x**2 Let o(c) = 3*c**2. Let w(p) = 99*p**2 - 3. Give o(w(j)). 29403*j**4 - 1782*j**2 + 27 Let o(k) = 722*k**2. Let i(g) = 7*g**2. Calculate i(o(t)). 3648988*t**4 Let p(h) = 2*h**2 + 6*h + 6. Let u(b) = b**2 + 5*b + 5. Let o(m) = -5*p(m) + 6*u(m). Let s(x) = 8*x**2 + 2*x. Give o(s(q)). -256*q**4 - 128*q**3 - 16*q**2 Let u(b) = -30*b**2 - 2*b. Let m(a) be the second derivative of a**3 - 2*a - 72. Calculate u(m(q)). -1080*q**2 - 12*q Let g(l) = -103*l - 111*l + 219*l. Let c(z) = 71*z**2 + 2*z. Determine c(g(w)). 1775*w**2 + 10*w Let k(y) = 8*y. Let d(j) be the third derivative of -10*j**2 + 0*j**3 + 0 + 0*j + 1/24*j**4. Calculate k(d(z)). 8*z Let m(v) = 4*v**2 + 5*v + 5. Let z(j) = -4*j**2 - 6*j - 6. Let l(w) = -6*m(w) - 5*z(w). Let s(k) = -44*k + 24*k + 23*k. What is s(l(q))? -12*q**2 Let c(u) = -68*u**2. Let y(m) = -15160*m. Determine c(y(t)). -15628140800*t**2 Let h(d) = -2*d. Let v = 40 - 36. Let k(z) = -2*z. Let r(y) = v*h(y) - 2*k(y). Let u(b) = -b**2. Give u(r(m)). -16*m**2 Let v(h) = 11*h - 6. Let n(i) = -144*i + 80. Let b(g) = -3*n(g) - 40*v(g). Let k(d) = -5*d**2. Determine k(b(y)). -320*y**2 Let u(v) = -2*v. Let j(f) be the first derivative of f**4 + 8*f + 12. Let x(c) be the first derivative of j(c). Calculate u(x(r)). -24*r**2 Let q(n) = -n**2. Let y(s) = -3*s**2. Let c = 2 + 0. Let d(k) = -6*k**2 + k**c + 3*k**2. Let m(t) = 5*d(t) - 3*y(t). Determine q(m(u)). -u**4 Let h be (20/8)/(2/12). Let j(s) = -7*s + 16*s - h*s. Let g(r) = 2*r. Calculate g(j(a)). -12*a Let l(f) = 1086*f. Let h(g) = -432*g**2 - g. Calculate l(h(m)). -469152*m**2 - 1086*m Let s(g) = 30*g**2. Let u(p) = -21942*p. Give s(u(o)). 14443540920*o**2 Let l(p) = 5868*p + 5. Let z(h) = -3*h**2. Calculate l(z(b)). -17604*b**2 + 5 Suppose -4*y - y - 2*u + 17 = 0, -3*y + 10 = u. Let r(j) be the second derivative of 0*j**2 + 0 - j + 1/3*j**y. Let w(x) = -x**2. What is r(w(t))? -2*t**2 Let h(f) be the second derivative of 3*f**4/2 - 9*f. Let o(z) = 0*z + 3*z - 4*z - z. What is h(o(r))? 72*r**2 Let y be ((-20)/(-15))/(2/3). Let u(i) = 2*i - 45*i**2 - i + 44*i**2. Let s(p) = 2*p**2 - p. Let v(c) = y*s(c) + 2*u(c). Let x(m) = 8*m. Calculate x(v(k)). 16*k**2 Let r = 2 + 1. Let h(s) = -s - 3*s - r*s + 3*s. Let m(i) = 2*i - 3. Let p(v) = 11*v - 17. Let w(l) = 34*m(l) - 6*p(l). Calculate h(w(c)). -8*c Let z(u) = 9*u. Let g(l) be the first derivative of 5*l**2/2 + 1. Let h(a) = 11*g(a) - 6*z(a). Let o(k) = -100*k + 49*k - 3*k**2 + 51*k. Determine o(h(b)). -3*b**2 Suppose 4*j + 6 + 2 = 0. Let r(f) = f + 1. Let o(v) = -17 + 16 + 3. Let b(t) = j*r(t) + o(t). Let p(x) = -10*x**2. Determine b(p(y)). 20*y**2 Let f(m) = -81*m. Let p(v) = -2*v - 262. Give p(f(j)). 162*j - 262 Let q = -92 - -97. Let p(h) be the third derivative of q*h**2 + 0*h + 0 + 0*h**3 + 0*h**4 - 1/60*h**5. Let m(y) = -2*y**2. Calculate m(p(w)). -2*w**4 Suppose 3*y = -2*y + 15, -5*c + 91 = 2*y. Let t(x) = 62 - 62 - c*x + 18*x. Let g(u) = 21*u**2. Give g(t(w)). 21*w**2 Let m(f) = 4*f. Let y(g) = -2052*g. What is y(m(h))? -8208*h Let l(k) = -64*k. Let z(d) = 6782*d. Calculate l(z(u)). -434048*u Let p(u) = 27*u. Let s(x) = 426*x. Determine s(p(w)). 11502*w Let i(q) be the first derivative of 2*q**2 - 6*q - 38. Let r(g) = 3*g. Calculate r(i(u)). 12*u - 18 Let u(y) = -18*y**2. Let f(l) = -4683*l. Give u(f(i)). -394748802*i**2 Let y(d) be the second derivative of d - 1/4*d**4 + 0*d**2 + 0 + 0*d**3. Let l(p) = -6*p. What is l(y(g))? 18*g**2 Let t(o) be the second derivative of 0*o**2 - o + 0 - 1/6*o**4 + 0*o**3. Let m(y) be the first derivative of -4*y**2 - 527. What is t(m(l))? -128*l**2 Suppose 1 + 3 = 2*n. Let t(i) = n*i**2 + i**2 - 5*i**2. Let r(z) = 3*z**2 + 41*z - 41*z - z**2. Calculate r(t(u)). 8*u**4 Let x(a) = -81628*a. Let s(w) = 2*w**2. Determine x(s(f)). -163256*f**2 Let d(o) = -25*o**2. Let m(l) = l**3 + 6*l**2 - 12*l - 3. Let x be m(-7). Let v(y) = 35*y - x*y - 2 + 2. Determine d(v(t)). -225*t**2 Let k(h) = -335*h**2. Let x(t) = -51*t. What is x(k(n))? 17085*n**2 Let l = -45 - -46. Let m(g) = 2*g + 1. Let k(r) = r + 1. Let x(u) = l*m(u) - k(u). Let t(y) = 17*y**2. Give x(t(i)). 17*i**2 Let f(m) = -2*m. Let d(p) be the third derivative of 5*p**5/6 - 2*p**3/3 + p**2 - 69. Give f(d(q)). -100*q**2 + 8 Let r(s) be the second derivative of 9*s**4/2 + s**2 - 3*s + 40. Let k(i) = -i. What is k(r(v))? -54*v**2 - 2 Let y(v) = 15*v**2. Let j(n) = -244*n. Determine j(y(d)). -3660*d**2 Let i(t) = 35*t + 7. Let x(u) be the first derivative of 11*u**2/2 + 2*u + 50. Let q(f) = -2*i(f) + 7*x(f). Let j(y) = 6*y. Give j(q(d)). 42*d Let g be 6/8 + (-100)/(-16). Let d(r) = -2*r + g*r - 6*r. Let x(q) = -7*q. Give d(x(m)). 7*m Let j(v) = 14*v + 8. Let w(z) = -85*z - 50. Let l(n) = -25*j(n) - 4*w(n). Let k(y) = -26*y**2 + 3*y. What is l(k(m))? 260*m**2 - 30*m Let w(v) = 4*v. Let t(l) = 4*l. Let n(x) = 3*t(x) - 2*w(x). Let q(m) = 55*m**2. Give q(n(p)). 880*p**2 Let k(h) = -h**2. Let n(a) = -242917*a**2. What is n(k(y))? -242917*y**4 Let i(l) = 4*l. Let z(f) = -4*f + 3*f - 2*f + 2*f. Let a(j) = -6*j. Let c(w) = -a(w) + 5*z(w). Calculate c(i(r)). 4*r Let l(d) = -d. Let a(u) = -7653*u. Give a(l(j)). 7653*j Let c(s) = 53*s**2 + 0 - 48*s**2 + 3. Let o(v) = -v. Determine c(o(z)). 5*z**2 + 3 Let t(g) = -5*g. Let u(w) = 2 - 2 + 54*w - 55*w. Calculate t(u(z)). 5*z Let l(z) = -31*z**2 + 2*z. Let j(g) = -64*g + 5. Let c(s) = 90*s - 7. Let p(i) = 5*c(i) + 7*j(i). What is p(l(b))? -62*b**2 + 4*b Let r(g) = -g. Let w(k) = -32*k + 8. Let b(n) = -7*n + 7. Let t(h) = 8*h - 6. Let y(o) = -3*b(o) - 4*t(o). Let j(m) = -3*w(m) + 8*y(m). Give r(j(z)). -8*z Let d(h) = -4*h + 13*h - h - 6*h. Let l(y) = 2*y**2 + 13*y**2 + 2*y**2. What is l(d(s))? 68*s**2 Let l(h) = -h**2 + 30*h - 29. Let i be l(29). Let g(t) be the second derivative of 5*t + i + 0*t**2 - 1/6*t**3. Let a(r) = 2*r**2. What is g(a(o))? -2*o**2 Let p(q) = 4*q**2. Suppose -83*z = -80*z + 6. Let b(r) = -3*r**2 + 2*r. Let l(h) = -48*h**2 + 33*h. Let d(y) = z*l(y) + 33*b(y). What is d(p(n))? -48*n**4 Let s(t) = -3*t**2 - 8*t + 4. Let y(k) = 12*k**2 + 30*k - 15. Let g(r) = 15*s(r) + 4*y(r). Let n(f) = 15*f. Calculate g(n(c)). 675*c**2 Let i(a) = -24*a**2. Let p(c) = -7*c**2 + 5*c + 10. Let z(j) = 20*j**2 - 14*j - 28. Let y(t) = 14*p(t) + 5*z(t). Give y(i(m)). 1152*m**4 Let y(h) = -2*h. Let t(a) be the second derivative of 5*a**4/6 + 39*a**2/2 - 7*a. Let o(n) be the first derivative of t(n). What is o(y(x))? -40*x Let j(p) = -p. Suppose 19 - 16 = -3*b. Let u(o) = -o - 1. Let w(n) = 32*n**2 + 192*n + 192. Let f(d) = b*w(d) - 192*u(d). Give f(j(i)). -32*i**2 Let q(h) = 3*h. Let j(x) = 83860*x. Determine j(q(t)). 251580*t Let j(y) = 2*y**2. Let z(u) = 5*u - 355. Let f(i) = 16*i - 1069. Let o(q) = 4*f(q) - 13*z(q). Give o(j(l)). -2*l**2 + 339 Let h(q) = 3*q**3 - q. Let a be h(1). Let y(z) = -3*z + 0*z**2 + 3*z + z**a. Let j(f) = 5*f + 3*f + 5*f. Calculate y(j(i)). 169*i**2 Let s(n) = 551*n**2. Let x(z) = -155*z. Give s(x(t)). 13237775*t**2 Let f(x) = -2*x. Let v(c) = 424*c**2 + 2*c + 92. Calculate f(v(l)). -848*l**2 - 4*l - 184 Let o(v) = 5*v. Let m(c) = -11*c**2. Let i(x) = 2*x**2 + 2*x**2 - x**2 - 13*x**2. Suppose -5*k - 25 = 10. Let f(y) = k*i(y) + 6*m(y). What is o(f(n))? 20*n**2 Let y(m) = 20*m**2 + 22*m**2 - 41*m**2. Let g(b) = -145*b. Let r(w) = -8*w. Let t(u) = 6*g(u) - 110*r(u). Give t(y(q)). 10*q**2 Let u(g) be the second derivative of g**6/360 - 4*g**4/3 - 36*g. Let i(r) be the third derivative of u(r). Let h(b) = 3*b + 23. Determine h(i(w)). 6*w + 23 Let s(y) be the first derivative of y**2 + 37*y - 9. Let c(j) = -4*j**2. Give c(s(v)). -16*v**2 - 592*v - 5476 Let d(i) = -2*i. Let k be 1*((-22)/(-8) + 6/(-8)).
{ "pile_set_name": "DM Mathematics" }
h is the nearest to -2/7? (a) 0.5 (b) -0.5 (c) 1.7 (d) k b Let k be -11 - (2/15 - 13/(-15)). What is the nearest to -3 in 0.1, k, -0.3, 0? -0.3 Let r = -0.08 + -0.02. Let v = 3.2 + -3.6. Let t be (2/8)/((-45)/20). What is the nearest to r in t, 0.08, v? t Let n = -3.1 - -3. Suppose -4*f = f + r + 2098, 4*r = -2*f - 832. Let i be 200/f*-1*(-6)/5. What is the closest to n in i, -4, -2? i Let g = -36/175 - -813/1400. Which is the closest to 0.37? (a) -0.5 (b) g (c) -1/10 (d) 0.5 b Let l = 3.3 - 3.54. Let u = l + 0.34. Which is the closest to u? (a) 1/10 (b) 0 (c) 2 a Suppose 971*r + 65 = 958*r. What is the nearest to -1/3 in 0.43, -2, r? 0.43 Let c(t) = 46*t + 87. Let m be c(-2). What is the closest to 7 in m, 3, -0.2? 3 Let t = 79 - 74. Let x = 1 + -4. Let q = -0.12 - -0.32. Which is the nearest to q? (a) t (b) x (c) 1 c Let w = -13.94 - -12.3. Let i = w - -13.64. Let z = -3 - -2.6. Which is the closest to i? (a) -2 (b) z (c) -1 b Let i be (-1 - -5)/(39 + -1 + 0). Which is the nearest to 5? (a) i (b) -4 (c) -5 a Let u = -0.347 + 0.647. Let f = 7 + -5. Let p = 487/1729 + 1/247. Which is the closest to 0? (a) p (b) f (c) u a Let g = -0.7 + -0.3. Let z = 17555/42 - 418. Let i = 1/7 - z. What is the closest to g in 0.1, i, -1? -1 Let c be (18 - (-399)/(-18)) + (3 - -1). What is the closest to 2/5 in 2, 0.5, -64, c? 0.5 Let h(u) = 3*u. Let t be h(-2). Let i be (1 + t + 4)/(-4). Let v = -39 + 34. Which is the nearest to i? (a) -3 (b) 3 (c) v b Let i = 5.66 - 6. Let m = i + 0.34. What is the closest to -1/4 in 2/9, 3, m? m Let f = -0.03 - -5.03. Suppose 256 = 2*s + 14*s. Let o be 1*(0 + s/(-12)). Which is the nearest to -0.1? (a) f (b) o (c) -1/2 c Let t = 13 + -26. Let n(i) = -i**3 - 14*i**2 - 13*i + 3. Let h be n(t). Which is the closest to 0.3? (a) 5 (b) h (c) -3 b Let t = -51 - -52. Let r be ((-1)/2*t)/((-99)/(-22)). What is the nearest to -2/17 in r, 1, 4? r Suppose -2 + 21 = -5*k + 3*o, 3*o - 9 = 0. Let r = -221/1322 - -1/1983. What is the closest to r in k, 3, -2/11? -2/11 Let w = 0.2 + -1.4. Let s = -1410.3 + 1410.7. What is the nearest to 1 in -1/5, w, s? s Let s(p) = -p**3 + 14*p**2 + 39*p - 88. Let x be s(16). Which is the nearest to 2/7? (a) 2/7 (b) 1/3 (c) -1 (d) x a Let x = -320 - -320. What is the nearest to 0.05 in x, -3, -5? x Let t = 10.11 + -14.11. Which is the nearest to -48? (a) 0.1 (b) -1 (c) t c Let k = 35 + -25. Let i = k + -10.04. Let f = -0.06 + i. What is the nearest to 5/6 in f, 2, -0.5? f Let h = -0.01 - -0.11. Let u(i) = -i**3 + 3*i**2 + i - 6. Let x be u(3). What is the closest to h in x, -1, 0.3? 0.3 Suppose 24 = -19*i + 20 - 15. Let v = -0.2 + -0.3. Let d = -4.5 + v. What is the closest to i in d, -0.1, -0.06? -0.1 Let f = -3073 + 3069. Which is the nearest to -2? (a) -0.4 (b) 4/5 (c) f (d) -5 a Let b = -0.487 + 0.887. What is the nearest to 1 in 0.5, 17, b? 0.5 Let n be 17/3 + (-4)/(-12). Let v = n - 3. Let z = 59.5 - 60. What is the closest to 0 in z, v, 1? z Let q = -3036.8 - -3037. Let s(n) = -n**2 - 6*n + 9. Let k be s(-7). Let w be (-9)/21*k/(-3). Which is the closest to q? (a) 2 (b) w (c) 0.2 c Let o be -1*(-1 + 2 - (-9)/(-6)). Suppose -n - 3 = -2. Let j(l) = 2*l - 7. Let h be j(5). Which is the nearest to n? (a) 0 (b) h (c) o a Let f be 31/(-93)*4/(-2). Let z = -13 - -8. What is the nearest to -11 in z, -3/7, f? z Let i = 0.12 + -0.22. Let l be ((-9)/6)/((3/(-2))/(-3)). Which is the closest to i? (a) l (b) 5 (c) -3/7 c Let z(w) = -9*w**3 - 1 - w**2 - 3*w**3 + 3*w**2 - 8*w**3. Let o be z(-1). Let d = o + -64/3. What is the closest to d in -2/13, -2, 2? -2/13 Let d = 2 + -1.8. Let w = -3706/3 + 1235. Which is the closest to w? (a) 0.9 (b) -2/7 (c) d b Let m be 1*(-6 + (46/7)/1). Let i = -0.7 + 0.3. Which is the closest to 0.1? (a) m (b) i (c) -4 a Let y be 27/(-6)*1/(-6). Let p be 2/(-8) - (-39)/12. Let j be (13 - 6) + (-6 - -2) - 7. What is the closest to y in -1, j, p? -1 Suppose 5*t = -3 + 28. Suppose 7 = 2*k - t. Let z = k + -19/3. Which is the closest to 2/9? (a) 0.3 (b) z (c) -4 a Let g = -269/3 - -89. Let j = -3 + 2.6. Which is the nearest to g? (a) 0.4 (b) -3 (c) j c Let w = 296 - 295.7. Which is the closest to 0.1? (a) w (b) 2/13 (c) 4 (d) 1 b Let u = 65 - 57. Let p(q) = q**3 - 8*q**2 - q + 3. Let j be p(u). Which is the nearest to j? (a) 0.2 (b) 0.3 (c) -2 c Let g = -5.1 - -4.1. Let j(k) = k + 9. Let x be j(-9). Let t = x + -3. What is the nearest to -1 in t, 3, g? g Let s = 149 - 147. Which is the nearest to 12? (a) -0.2 (b) 3/4 (c) s c Let k = 0.07 - -0.03. Let t be (-28)/(-238) + (525/(-408))/(-5). What is the closest to 2/5 in 2, k, t? t Let s be ((-7)/(-35))/(-3 + 2). Let m = -65 + 781/12. What is the nearest to m in 0.2, s, -2/9? 0.2 Suppose x = -3*w - 0*w - 7, -5*x + 13 = -w. Let q(y) = 20*y + 2. Let h be q(9). Let f = -1640/9 + h. What is the nearest to w in 1/6, f, 2/5? f Let n = 0.569 - 2.879. Let d = 2.3 + n. Let w = 6.2 - 1.2. Which is the nearest to d? (a) 0.3 (b) w (c) -3 a Let n be (-157)/(-471) + (-8)/(-6) + -1. What is the nearest to -0.1 in 16, n, 0.5, 4? 0.5 Let y = 458 + -460. What is the closest to 0 in -0.3, -8, -5, y? -0.3 Let u = -0.0459 - -0.1459. What is the closest to -1/3 in u, 0.6, -1/4? -1/4 Let d = 34 - 30.6. Let n = d + -3.4. Which is the nearest to -0.1? (a) n (b) 0.5 (c) 2/5 a Let n = 2187.5 - 2187. What is the closest to 1/4 in -1/4, n, 1/4, 0.7? 1/4 Let t = -0.049 - -1.049. Let c be 12/(-3) - (-50)/14. Let f be -2 - ((-16)/3)/4. What is the closest to t in c, f, -1? c Let b = 28.974 + -29. Let n = 0.374 - b. What is the closest to 0 in 0.1, n, -8? 0.1 Let h be (0 + (-1 - -3))/4. Let w be (-7)/(21/6) + (-22)/(-14). Let x = 3018/13 + -232. Which is the closest to h? (a) 2/17 (b) x (c) w b Let h = 1417.1 - 1417. What is the closest to -1 in -2, 4, -16, h? -2 Let l(u) = -u**2 + 7*u + 259. Let j be l(20). Let t = -449 + 8533/19. Which is the nearest to j? (a) t (b) -3 (c) 5 a Let q = -0.51 + 0.467. Let y = q + -0.457. Let m = 4 - 7. Which is the nearest to 2/21? (a) m (b) 3 (c) y c Let s be 31/93 - (24/(-9) - -4). What is the nearest to 0 in s, 1/5, 0, 2/3? 0 Let u = 3/724 + 1409/9412. What is the closest to -1/11 in -0.5, 3/2, u, 1/2? u Let d = -78.7 + 79.7. What is the nearest to 10 in -0.3, d, 2/7, -0.1? d Let p(y) = -y**3 + 9*y**2 - 2. Let i be p(9). Let m be ((-10)/15)/(-4 - i). What is the nearest to 0.2 in -5, -0.3, m? m Let k = -12 + 11.93. Let f = k - -2.07. Let z = -1 + f. Which is the nearest to 1? (a) z (b) -1/9 (c) -2/19 a Let h = -0.366 + 1.366. What is the nearest to 14/9 in h, -0.3, -4? h Let r = 0.139 + -0.139. Which is the closest to r? (a) 2/11 (b) -1/6 (c) -5/6 b Let i = -19.1 + 19. Let j = -7.6 + 15.6. What is the nearest to i in -5, -4, j? -4 Let n be (-4)/((-2)/(5 - 4)). Suppose -8*g + n*g = 0. Let o = 4.92 + 0.08. What is the closest to -1 in g, o, 4? g Let y = -0.033 + 0.063. Let r = 0.01 - 1.01. Which is the closest to 0? (a) r (b) -2/15 (c) y c Let l = 248 + -248.505. Let j = -0.005 - l. Let y = -3 - -2. Which is the nearest to y? (a) -2 (b) j (c) -2/7 c Let h be 4/(-10)*(-10)/128*-4. Let n = 53 + -58. What is the closest to -3 in n, 1/15, h? n Suppose 8*q - 90 = -74. Let n = -11.4 - -11. Which is the nearest to q? (a) -0.02 (b) n (c) -1/2 a Let z(v) = v**2 - 9*v + 6. Let p be z(12). Let d be ((-1)/(-7))/(p/(-49)). What is the nearest to 0.3 in 1/2, d, -4? 1/2 Let k = 31/45 + 10/9. What is the nearest to 1 in k, 0.3, -0.2? 0.3 Let x be 16/6 - 2/3. Let t be -4 + x - 1 - 2. What is the closest to 2 in -5/4, 0.3, t? 0.3 Let m = -2562 + 2686.07. Let z = -120 + m. Let j = z + -0.07. Which is the nearest to -1? (a) 0.1 (b) j (c) -6/11 c Let x be (-16)/(-3)*184/16. Let z = x + -62. Which is the nearest to z? (a) 1 (b) 0.2 (c) 1/2 b Let y = 0 - 0. Let x = -0.97 - 0.03. Let i = -112 + 112.2. Which is the closest to i? (a) -3/5 (b) x (c) y c Let k = 0.08 + 0.32. Let z = 275 - 272.3. Which is the closest to z? (a) 1/4 (b) k (c) 3/4 c Let x = 15 + -21. Let j = x - -4. Let t = j + 1.5. Which is the closest to 0? (a) t (b) 1 (c) -3 a Let t = 2063 + -2064. Let m = 0.5 + -2.5. What is the nearest to t in -6/5, m, -5? -6/5 Let s = -154 + 154.
{ "pile_set_name": "DM Mathematics" }
for g. -1 Let u be (4 - 4)/(4/2). Suppose -147 = -3*h - u*h. Let d be 61/7 - (-14)/h. Solve -2*i = -d - 1 for i. 5 Suppose 98*t = 99*t - 4. Solve 3*p + 4 = t for p. 0 Suppose 3*v = -3*y, -17 = -2*v + 4*y + 13. Solve 0 = 22*r - 17*r - v for r. 1 Let q(v) = v**2 + 3*v - 1. Let u be q(-5). Suppose 0 = -12*w + 341 - 305. Solve 0*d + u = -w*d for d. -3 Let j be 18/4 + 6/(-4). Suppose -j*q - 13 = -73. Let g = -14 + q. Solve -g*d = -d + 5 for d. -1 Let v be (-272)/(-32) - (-1)/2. Suppose 2*a - 3 = v. Solve -a*z - 25 = -z for z. -5 Let g be 2/(1/2*(6 + -5)). Solve 3*f = -f + g for f. 1 Suppose 0 = -4*y - y + 170. Let a = -33 + y. Solve -x = -a + 4 for x. -3 Let z(f) = f - 2*f + f**3 + 3*f - 15 - 11*f**2. Let n be z(11). Suppose 5*x - 13 - n = 0. Solve -1 = -x*p + 7 for p. 2 Suppose -1 = 3*p - i - 0, 5*p - 2*i + 2 = 0. Solve t + 3*t - 4 = p for t. 1 Let q be ((-5)/10)/((-2)/24). Suppose 0 = -5*h + o + q, 4*h - 4 = 3*o + 3. Let m(p) = 7*p - 1. Let r be m(h). Solve 2*c + 16 = r*c for c. 4 Let h be 0*((2 - 12/8) + 0). Let s be (0 + h)*3/3. Solve s = -0*a - a - 1 for a. -1 Let c be 0*((-3)/(-10) - (-5)/150). Solve c = -9*h - 4*h + 26 for h. 2 Let y be (60/(-21))/((-6)/21). Suppose 1 = -3*m + y. Let f be -2*-2*(m - -2). Solve -r = -5*r + f for r. 5 Let j = -91 + 93. Solve 4*v = -10 - j for v. -3 Suppose -3*t + 3*n = -66, 4*n - 80 = -4*t + 32. Solve -t = -8*g - 9 for g. 2 Let x be 1356/113 - (-1 - 2). Solve 0*h - 60 = -x*h for h. 4 Let t = -814 - -815. Solve -t = 7*l - 8 for l. 1 Suppose 3*s = 2*n - 2 - 12, 5*s + 10 = 0. Suppose n*y + 84 = -2*b - y, 3*b = -y - 100. Let r be ((-8)/(-6))/(b/(-72)). Solve -r*f + 0 = 3 for f. -1 Suppose -2*b + 34 = 4*d, 2*d - d + 4*b = 12. Suppose 6*c + 24 = d*c. Suppose 4*x = 2*x. Solve -y + 5*y - c = x for y. 3 Let v = 28 + -26. Suppose -s - x = v*s + 2, s = 2*x + 4. Solve s*h = 2*h for h. 0 Let w(l) = -l**3 - 7*l**2 - 7*l - 31. Let v be w(-7). Solve -26 = -4*m - v for m. 2 Let z = 114 + -111. Solve 2*t + z - 9 = 0 for t. 3 Let y(g) = -4*g**3 - 2*g**2 + 3*g + 6. Let i be y(-2). Suppose -i*j + 29*j = 60. Solve -j = -5*w - 2 for w. 2 Let q(d) = d**3 + 3*d**2 + 2*d + 1. Let a be q(-2). Solve -j = a - 5 for j. 4 Let f(c) = c + 9. Let h be f(-8). Let b = 3 + h. Suppose b*v = 5 + 3. Solve 6 + 0 = -v*n for n. -3 Let t be ((-23)/(805/110))/((-2)/14). Solve t = 11*g - 0*g for g. 2 Let d = -103 + 29. Let z be d/(-5) - (-18)/90. Solve 4*x = x + z for x. 5 Let d be (12/(-8))/((-7)/14). Suppose 11 - 41 = -d*p. Solve 5*c + 0*c - p = 0 for c. 2 Let n(d) = d**3 - 4*d**2 - 4*d + 20. Let o be n(4). Solve 6*a - o = 10*a for a. -1 Suppose 10*c - 20 = -0. Let w(t) = 6*t**2 - 8*t - 3. Let a be w(c). Solve -2*d + 7*d = a for d. 1 Let k(z) = z**2 - 11*z - 23. Let d be 19 + -16 - (1 - 6)*2. Let h be k(d). Solve 2 = s - h for s. 5 Let l(m) = m**2 + 5*m. Let d be l(-5). Let z be (10 + 0 + 0)/((-2)/(-4)). Suppose 5*b - z = -d*b. Solve -b*o = 11 + 5 for o. -4 Suppose 0*v = 4*v + 3*u + 102, 3*v - 3*u = -87. Let c = v + 31. Solve -c*q + 1 = -11 for q. 3 Suppose 0 = -3*c - 6, -3*c - 2*c - 115 = -3*u. Let l = 38 - u. Solve 4*n - l*n = 1 for n. 1 Suppose -6*m - 6 = -8*m. Suppose m*b + 6 = 4*b. Solve -4*y = -2*y + b for y. -3 Suppose -39*h + 41*h - 2 = 2*s, 5*s + 3*h - 19 = 0. Solve s*y + y = 0 for y. 0 Let x(q) = 5*q + 37. Suppose 3*w - 3*n + 16 = 2*n, -4*w - 25 = -3*n. Let o be x(w). Solve 0*a = -2*a + o for a. 1 Let t(o) be the second derivative of o**4/12 - 4*o**3/3 + 11*o**2/2 - 22*o. Let v be t(7). Solve 0 + v = -m for m. -4 Suppose 2*b + s = -4 - 0, 2*b - 12 = 3*s. Suppose 0 = 2*g - 4*z - 4, 6 = -g - b*g + 4*z. Solve 5*m - 3*m = -g for m. -5 Let i(n) = -n**3 - 8*n**2 - 7*n + 5. Let b be i(-7). Suppose -b*l = -l. Solve l*z + z = 1 for z. 1 Let a be ((-64)/12)/8*-3. Solve 3*n + 15 = -a*n for n. -3 Suppose -5*s = 5*i - 25, s = 6*s - 3*i - 17. Solve -29 = 5*u - s for u. -5 Let t(m) = 17*m**3 + 1. Let w be t(1). Let r = 19 - w. Solve o + 0 = r for o. 1 Let x(g) = -g**3 - 8*g**2 - 7*g. Let o be x(-7). Suppose d = -o*d. Suppose d = -m + 3*m - 2. Solve y + m = -1 for y. -2 Suppose -3*u + 4*y + 11 = 0, -4*u - 5*y - 11 = -36. Let x = -262 - -264. Solve u*r + 13 = -x for r. -3 Let w = 21 - 13. Suppose 2*l + 2 = w. Suppose 2*v - 5*c - 10 = 0, 64*c - 65*c - 2 = 0. Solve v = l*m - 6*m for m. 0 Suppose -6 = 2*i - 0. Let b be (i/(-4))/(8/(-96)). Let c be ((-30)/b)/2*12. Solve 6*k - c = k for k. 4 Let g = 5 - 2. Let n be (-14)/(-3) + (-106)/159. Solve r + g*r - n = 0 for r. 1 Suppose k = 2*k - 3. Suppose -3*h + 2 = 2*y - 7, -5*y + 5 = 4*h. Suppose h*j - j = 0. Solve j = k*r + 4 + 2 for r. -2 Let d(v) = -v**2 + 1. Let q be 5 - (-1 - 2 - -5). Suppose 2 = q*x - x. Let j be d(x). Solve 3*m + m + 12 = j for m. -3 Suppose 4 = 2*v - 0*v. Let g = v - -3. Suppose 3*y + g*l - 7 = -4, y + l = 3. Solve 6*m - y = 4*m for m. 3 Suppose 362 = 4*z + 3*k + 334, -3*z = 2*k - 21. Solve z*x = -33 + 40 for x. 1 Let z be ((-6)/(-4))/((-24)/32). Let s be 7*-1 + 2 + z. Let p be (-10)/(-35)*(0 - s). Solve -q + p = 1 for q. 1 Let w = -25 + 14. Let p = -1 - w. Suppose 3*j - p = 5. Solve 2*y = j*y - 12 for y. 4 Let m(x) = x**3 - 10*x**2 - 40*x + 24. Let b be m(13). Solve b*t - 14*t = 15 for t. -5 Let y = 11 - 8. Let x = 5 + -1. Solve y*s = s + x for s. 2 Let r(h) = -h**3 + 7*h**2 + 3*h - 3. Let y be r(7). Suppose -23*w = -y*w - 20. Solve 0 = 3*j - 2*j + w for j. -4 Let d(i) = 2*i**2 + 2*i. Let p be d(-1). Solve p = 5*c - 2*c - 12 for c. 4 Let m = -91 - -64. Let x = 37 + m. Solve 3*g + x = 8*g for g. 2 Let v be 2/(2*4/24). Let s(p) be the third derivative of p**5/60 - p**4/8 - 2*p**3 - 22*p**2. Let t be s(v). Solve t*m - m = -10 for m. -2 Let j(p) = -5*p + 137. Let r be j(27). Solve o + r = -o for o. -1 Let q(s) = -5*s + 114. Let w be q(19). Solve w*x + 4 = 15*x for x. -1 Suppose 5*w = -4*l + 32, l + 2*w - 3*w = -1. Let n(o) = -o**3 + 5*o**2 + 3*o - 25. Let c be n(3). Solve -1 - l = -c*k for k. 2 Suppose -3*g + 45 = -5*p + 9, 9 = -3*p. Solve 1 = -4*w - g for w. -2 Suppose -24*r - 27 = -25*r. Solve -4*s - r + 27 = 0 for s. 0 Let k(x) = x - 8. Suppose s - r = -3*s + 29, 2*s = -r + 19. Let z be k(s). Solve 5*j + 8 + 2 = z for j. -2 Let c(y) = 4*y**2 + 1. Let r be c(1). Suppose 0 = 3*a - 8*a + 80. Let d be a/4*(-2 - (-26)/8). Solve -4*q = -d*q + r for q. 5 Let a be (0 + 0)*2/4. Suppose -4*m + 102 = -2*r, 0*m + 4*r - 12 = -m. Suppose -4*q = -48 + m. Solve a = 4*g - 2 + q for g. -1 Let o(s) = s**3 - 9*s**2 - 93*s - 4. Let a be o(-6). Solve a*j - 24 = 6*j for j. 3 Let y be (2 + -1)/((-12)/(-588)). Suppose -2*b - y = -2*i + i, 12 = 4*i. Let s = b + 27. Solve s*z = -z for z. 0 Let n = 2128 - 2124. Let u(z) = -2*z**2 - 7*z - 5. Let h be u(-4). Let g be (-6)/h - n/6. Solve 0*o - o + 5 = g for o. 5 Suppose 0 = -b + a + 2, -14 = -2*b - 3*a. Suppose 0 = -b*y - 5*r + 80, -5*y + r = -r - 67. Suppose -2*k = -5*k + y. Solve -k*f = -0*f for f. 0 Let q(r) be the third derivative of -r**6/120 - r**5/20 - r**4/6 - r**3/3 - 7*r**2. Let x be q(-2). Solve x*l + 2 = l for l. -2 Let p(h) = h**3 - 4*h**2 - h + 8. Let t be p(4). Suppose 4*i = -t*v, -4*i - 3*v + 6 = -2*v. Solve 3*z - i*z = 4 for z. 4 Let b = 20 + -18. Let l = 23 + -16. Solve -5 = b*i - l*i for i. 1 Let n be 26/12 - (-7)/(-42). Let l(q) = 3*q**2 + 8 - 3*q + n*q**2 - 6*q**2 - 15*q. Let b be l(-18). Solve -4*m + 0*m - b = 0 for m. -2 Suppose 0*n - n + 14 = 2*u, -3*u - 5*n + 14 = 0. Let f = u + 5. Let b = 17 - f. Solve -2 - 6 = -b*q for q. 2 Let y = 57 - 34. Suppose -4*j = -37 - y. Solve 4*s = -s + j for s. 3 Let k = 7 - 4. Let c be (-11)/(385/90)*-21. Let d be (-3)/(c/(-15) + 3). Solve -d = -2*s + k for s. 4 Suppose 92*z = 88*z + 32. Solve -z*w - 21 = -w for w. -3 Suppose 3*t = -5*i - 8, 4*i + i + 32 = 3*t. Let o be (i - -3) + (2 - -3) + -3. Solve -c = o - 2 for c. 1 Suppose -2*a - 13 = 5*j, -10*a = -11*a + 4*j + 26. Solve -a*c + 19 = -11 for c. 5 Let c = -6 - -6. Suppose -3*r - r + 8 = c. Solve 3*l - 20 = -r*l for l. 4 Let m be (12 - 5) + -13 - -9. Solve -v + m = 8 for v. -5 Let d(v) = -9*v + 36. Let m be d(4). Solve m = -5*l - 25 + 5 for l. -4 Suppose -2*y = -4*y + 24. Suppose u = 4*j + y, j + 3 = -5*u - 0. Solve u*c - c = 5 for c. -5 Let i = 394 - 382. Solve -9*a = -i*a - 12 for a. -4 Let o(v) = v**3 - 3*v**2 + 2*v + 3. Let j be o(3). Suppose 40*s = 37*s +
{ "pile_set_name": "DM Mathematics" }
/2 + 36*z**2 - 18*z = 0. 0, 6/11, 6 Factor -2*u**2/9 + 20*u/9 + 2128/9. -2*(u - 38)*(u + 28)/9 Factor b**3/9 + b**2 - b/9 - 1. (b - 1)*(b + 1)*(b + 9)/9 Factor q**4 + 20*q**3 + 81*q**2 + 90*q. q*(q + 2)*(q + 3)*(q + 15) Factor 3*w**3 - 171*w**2 + 150*w + 1008. 3*(w - 56)*(w - 3)*(w + 2) Let -3*w**3/7 - 33*w**2/7 + 555*w/7 - 225 = 0. What is w? -21, 5 Suppose 4*s**2 - 2500*s - 2504 = 0. Calculate s. -1, 626 Factor -2*n**4/3 - 76*n**3/3 - 850*n**2/3 - 2312*n/3. -2*n*(n + 4)*(n + 17)**2/3 Factor 2*j**3 + 86*j**2 + 320*j + 312. 2*(j + 2)**2*(j + 39) Factor v**3/3 - 19*v**2/3 - 42*v + 48. (v - 24)*(v - 1)*(v + 6)/3 Factor -2*t**3 + 48*t**2 - 288*t. -2*t*(t - 12)**2 Factor 2*p**2/5 - 4*p/5 - 96/5. 2*(p - 8)*(p + 6)/5 Let -2*y**2 - 216*y - 5832 = 0. Calculate y. -54 Let -5*n**3 - 25*n**2 + 40*n + 60 = 0. Calculate n. -6, -1, 2 Solve 3*k**4/4 + 3*k**3/2 - 45*k**2/4 - 27*k = 0 for k. -3, 0, 4 Let -3*y**4/2 + 4766*y**3 - 5048253*y**2 + 1783154790*y - 1187648379/2 = 0. Calculate y. 1/3, 1059 Factor 5*v**2/3 + 585*v - 3530/3. 5*(v - 2)*(v + 353)/3 Factor -6*g**5/7 + 72*g**4/7 + 162*g**3/7 + 12*g**2. -6*g**2*(g - 14)*(g + 1)**2/7 Factor -q**3 + 1213*q**2 + 1214*q. -q*(q - 1214)*(q + 1) Determine o so that -5*o**2 - 810*o - 805 = 0. -161, -1 Factor -2*d**4/7 + 4*d**3/7 + 72*d**2/7 - 324*d/7 + 54. -2*(d - 3)**3*(d + 7)/7 Let -5*a**2 - 30*a + 360 = 0. What is a? -12, 6 Let 20*v**2 + 2476*v - 496 = 0. What is v? -124, 1/5 Determine t, given that -t**3/4 + 336*t**2 - 150528*t + 22478848 = 0. 448 Factor -g**4/8 - 7*g**3/4 + 15*g**2/8 + 125*g/2 - 125/2. -(g - 5)*(g - 1)*(g + 10)**2/8 Determine i so that -3*i**5/8 + 15*i**4/8 + 12*i**3 + 27*i**2/2 = 0. -2, 0, 9 Determine i, given that -2*i**4/7 - 1210*i**3/7 - 3618*i**2/7 - 3614*i/7 - 172 = 0. -602, -1 Factor p**3/3 - 16*p**2 + 92*p/3. p*(p - 46)*(p - 2)/3 Find n, given that 3*n**2 - 93*n + 450 = 0. 6, 25 Factor x**3 - 663*x**2 + 146523*x - 10793861. (x - 221)**3 Factor 2*o**3/9 - 52*o**2/9 + 46*o/9 + 100/9. 2*(o - 25)*(o - 2)*(o + 1)/9 Solve -2*o**3/7 + 74*o**2/7 + 498*o/7 + 774/7 = 0 for o. -3, 43 Let 2*s**3/3 - 112*s**2/3 + 110*s/3 = 0. Calculate s. 0, 1, 55 Solve -2*k**2 + 6*k + 36 = 0 for k. -3, 6 Suppose -u**5 + 339*u**4 - 28559*u**3 - 29239*u**2 + 28560*u + 28900 = 0. What is u? -1, 1, 170 Find p, given that -2*p**2 - 24*p - 22 = 0. -11, -1 Solve 3*y**5/5 + 87*y**4/5 + 84*y**3/5 = 0 for y. -28, -1, 0 Factor -5*y**4 + 40*y**3 + 20*y**2 - 160*y. -5*y*(y - 8)*(y - 2)*(y + 2) Factor 18*w**4/5 - 24*w**3 + 74*w**2/5 - 12*w/5. 2*w*(w - 6)*(3*w - 1)**2/5 Factor -2*a**4 + 186*a**3 - 720*a**2 + 712*a. -2*a*(a - 89)*(a - 2)**2 Find s such that s**4 + 75*s**3 + 1021*s**2 + 4641*s + 5782 = 0. -59, -7, -2 Solve 4*q**2/5 - 176*q - 5424/5 = 0. -6, 226 Factor -2*o**2/17 - 480*o/17 + 968/17. -2*(o - 2)*(o + 242)/17 Factor 63*b**4 - 32*b**3 + 4*b**2. b**2*(7*b - 2)*(9*b - 2) Let -6*w**4/5 - 66*w**3/5 + 528*w**2/5 + 96*w - 4608/5 = 0. What is w? -16, -3, 4 Solve 14*q**5 + 122*q**4 - 554*q**3 + 22*q**2 + 540*q - 144 = 0 for q. -12, -1, 2/7, 1, 3 Factor f**2/5 + 412*f + 212180. (f + 1030)**2/5 Find w such that 5*w**3 + 227*w**2 + 451*w/5 + 9 = 0. -45, -1/5 Suppose 2*i**2/5 - 14*i/5 - 12 = 0. What is i? -3, 10 Factor b**2/3 + 11*b/3 + 10. (b + 5)*(b + 6)/3 Factor -z**5/4 + 5*z**4/4 + 13*z**3/4 + 7*z**2/4. -z**2*(z - 7)*(z + 1)**2/4 Determine b so that -2*b**5/3 - 10*b**4 - 76*b**3/3 - 16*b**2 = 0. -12, -2, -1, 0 Solve 3*x**3/8 - 51*x**2/8 + 15*x + 225/2 = 0 for x. -3, 10 What is r in 2*r**3 + 366*r**2 - 2252*r + 3024 = 0? -189, 2, 4 Let -3*u**4 + 9*u**3 + 3*u**2 - 9*u = 0. What is u? -1, 0, 1, 3 Factor -2*m**2/7 - 1982*m/21 - 220/7. -2*(m + 330)*(3*m + 1)/21 Factor h**4/3 - h**3/3 - 3*h**2 + 3*h. h*(h - 3)*(h - 1)*(h + 3)/3 Factor -2*z**2 + 240*z - 7200. -2*(z - 60)**2 Suppose 2*l**2 - 18 = 0. What is l? -3, 3 Factor 2*h**2 + 118*h + 900. 2*(h + 9)*(h + 50) Find m, given that -9*m**5 - 93*m**4 - 327*m**3 - 459*m**2 - 264*m - 48 = 0. -4, -1, -1/3 Factor -3*v**4 - 78*v**3 - 213*v**2 - 138*v. -3*v*(v + 1)*(v + 2)*(v + 23) Solve 3*j**2/5 + 33*j/5 - 78/5 = 0. -13, 2 Let -4*q**4 - 280*q**3 - 268*q**2 + 552*q = 0. What is q? -69, -2, 0, 1 Suppose -o**5/8 + 3*o**4/4 + 5*o**3/4 - 5*o**2/2 - 9*o/8 + 7/4 = 0. What is o? -2, -1, 1, 7 Find n, given that -2*n**4 + 1106*n**3 + 3330*n**2 + 3334*n + 1112 = 0. -1, 556 Determine g, given that 18*g**4 + 542*g**3 + 42*g**2 - 542*g - 60 = 0. -30, -1, -1/9, 1 Factor -5*r**4 - 320*r**3 - 7320*r**2 - 70400*r - 242000. -5*(r + 10)**2*(r + 22)**2 What is v in 2*v**4/3 - 62*v**3 + 184*v**2/3 = 0? 0, 1, 92 Factor -5*h**4/2 - 6*h**3 - 9*h**2/2 - h. -h*(h + 1)**2*(5*h + 2)/2 Determine z, given that 15*z**4 + 830*z**3 + 1075*z**2 - 280*z - 540 = 0. -54, -1, 2/3 Let 2*a**5/25 + 2*a**4/25 - 36*a**3/25 - 4*a**2 - 94*a/25 - 6/5 = 0. What is a? -3, -1, 5 Find a such that 2*a**3 - 28*a**2 - 2*a + 28 = 0. -1, 1, 14 Let 5*v**5 + 40*v**4 + 120*v**3 + 170*v**2 + 115*v + 30 = 0. What is v? -3, -2, -1 Suppose 2*w**4 - 54*w**3 - 122*w**2 + 174*w = 0. Calculate w. -3, 0, 1, 29 Determine r, given that r**5/6 - r**4/2 - 95*r**3/6 - 67*r**2/2 + 245*r/3 + 100 = 0. -5, -1, 2, 12 Factor -10*w**4 + 1135*w**3 - 3375*w**2/2 + 3365*w/4 - 140. -5*(w - 112)*(2*w - 1)**3/4 Find n, given that 7*n**5/2 - 64*n**4 + 186*n**3 - 209*n**2 + 197*n/2 - 15 = 0. 2/7, 1, 15 Factor c**2 + 8*c + 7. (c + 1)*(c + 7) Solve -u**3 + 18*u**2 - 33*u + 16 = 0 for u. 1, 16 Solve -7*o**4/4 - 81*o**3/2 + 127*o**2 - 78*o = 0 for o. -26, 0, 6/7, 2 Suppose -h**2/6 + 5*h/3 - 4 = 0. Calculate h. 4, 6 Determine r so that -324*r**5 - 2124*r**4 - 304*r**3 + 4352*r**2 - 1792*r + 192 = 0. -6, -2, 2/9, 1 What is j in -675*j**4 - 2520*j**3 + 8808*j**2 - 2208*j + 144 = 0? -6, 2/15, 2 Factor 3*b**2 - 57*b + 144. 3*(b - 16)*(b - 3) Factor 2*q**2/13 - 142*q/13. 2*q*(q - 71)/13 Factor b**2 - 139*b/3 - 94/3. (b - 47)*(3*b + 2)/3 Factor 3*l**3/2 + 3*l**2 - 33*l/2 - 18. 3*(l - 3)*(l + 1)*(l + 4)/2 What is d in 4*d**3/9 + 184*d**2/9 = 0? -46, 0 Factor 6*l**3 - 69*l**2 + 120*l - 57. 3*(l - 1)**2*(2*l - 19) Find m such that -2*m**3 - 2148*m**2 - 2146*m = 0. -1073, -1, 0 Factor 2*d**2 - 1351*d/3 + 75. (d - 225)*(6*d - 1)/3 Find o such that 904*o**2 - 234*o + 2 = 0. 1/113, 1/4 Factor 2*x**3/3 + 118*x**2/3 + 1798*x/3 + 1682/3. 2*(x + 1)*(x + 29)**2/3 Find y, given that 44*y**2 + 272*y + 48 = 0. -6, -2/11 Factor -l**2 - 1034*l + 1035. -(l - 1)*(l + 1035) Suppose -1875*i**3 - 286575*i**2 + 45888*i - 1836 = 0. Calculate i. -153, 2/25 What is v in v**4/10 + 7*v**3/10 - 11*v**2/2 - 127*v/10 - 33/5 = 0? -11, -1, 6 Determine n so that -3*n**4/7 + 9*n**3/7 + 6*n**2/7 - 36*n/7 + 24/7 = 0. -2, 1, 2 Find a, given that -a**4/4 - 233*a**3/2 - 1389*a**2/4 + a + 463 = 0. -463, -2, 1 Factor 15*l**4 + 111*l**3 + 207*l**2 + 141*l + 30. 3*(l + 1)**2*(l + 5)*(5*l + 2) Find u such that -3*u**2/4 + 129*u/4 - 63/2 = 0. 1, 42 Solve n**4/6 + n**3/2 - n**2/6 - n/2 = 0 for n. -3, -1, 0, 1 Determine f, given that f**3 - 810*f**2 - 1624*f = 0. -2, 0, 812 Determine n, given that -2*n**3/5 + 24*n**2/5 - 42*n/5 + 4 = 0. 1, 10 Factor 2*d**3/5 + 8*d**2/5 - 2*d/5 - 8/5. 2*(d - 1)*(d + 1)*(d + 4)/5 Factor k**2/6 + 38*k/3 - 77/6. (k - 1)*(k + 77)/6 What is u in 4*u**2 - 48*u - 112 = 0? -2, 14 What is l in -4*l**5 - 92*l**4 - 476*l**3 + 668*l**2 + 480*l - 576 = 0? -12, -1, 1 Find p, given that -5*p**4 - 295*p**3 + 310*p**2 + 600*p = 0. -60, -1, 0, 2 Factor 4*t**3/3 - 56*t**2/3 + 100*t/3 - 16. 4*(t - 12)*(t - 1)**2/3 Factor 5*b**3 - 45*b. 5*b*(b - 3)*(b + 3) Determine y, given that 3*y**4 - 30*y**3 + 24*y**2 + 30*y - 27 = 0. -1, 1, 9 Factor -a**4/2 + 9*a**3/2 - 3*a**2/2 - 37*a/2 - 12. -(a - 8)*(a - 3)*(a + 1)**2/2 Factor -3*g**3 + 231*g**2 - 1278*g. -3*g*(g - 71)*(g - 6) Factor -7*c**4 - 16*c**3 + 52*c**2 + 16*c. -c*(c - 2)*(c + 4)*(7*c + 2) What is o in -5*o**4 - 950*o**3 + 955*o**2 = 0? -191, 0, 1 Let 15*v**4 - 84*v**3 + 129*v**2 - 24*v - 36 = 0. Calculate v. -2/5, 1, 2, 3 Factor 2*q**2 - 2. 2*(q - 1)*(q + 1) Let 4*u**4/7 + 2*u**3/7 - 10*u**2/7 - 2*u/7 + 6/7 = 0. What is u? -3/2, -1, 1 Solve -10*v**2 - 192*v + 1768 = 0 for v. -26, 34/5 Suppose -5*b**5 + 40*b**4 - 115*b**3 + 140*b**2 - 60*b = 0. Calculate b. 0, 1, 2, 3 Factor 2*b**3/11 - 18*b**2/11 - 96*b/11 - 104/11. 2*(b - 13)*(b + 2)**2/11 Factor w**3 - 16*w**2 + 52*
{ "pile_set_name": "DM Mathematics" }
git of 20651? 0 What is the hundreds digit of 54055? 0 What is the hundreds digit of 664? 6 What is the units digit of 582? 2 What is the units digit of 17873? 3 What is the tens digit of 901? 0 What is the tens digit of 1624? 2 What is the units digit of 40214? 4 What is the ten thousands digit of 18143? 1 What is the hundreds digit of 11353? 3 What is the tens digit of 33023? 2 What is the units digit of 635? 5 What is the hundreds digit of 1514? 5 What is the tens digit of 33144? 4 What is the units digit of 12019? 9 What is the tens digit of 667? 6 What is the tens digit of 623? 2 What is the tens digit of 44755? 5 What is the thousands digit of 25810? 5 What is the hundreds digit of 2044? 0 What is the thousands digit of 63446? 3 What is the tens digit of 2160? 6 What is the hundreds digit of 15546? 5 What is the tens digit of 13169? 6 What is the thousands digit of 3231? 3 What is the hundreds digit of 4904? 9 What is the tens digit of 2510? 1 What is the tens digit of 7765? 6 What is the tens digit of 22174? 7 What is the thousands digit of 21256? 1 What is the tens digit of 767? 6 What is the hundreds digit of 56731? 7 What is the hundred thousands digit of 113354? 1 What is the units digit of 13109? 9 What is the units digit of 572? 2 What is the tens digit of 1589? 8 What is the hundreds digit of 7636? 6 What is the units digit of 542? 2 What is the hundreds digit of 471? 4 What is the tens digit of 10565? 6 What is the hundreds digit of 7473? 4 What is the thousands digit of 1981? 1 What is the hundreds digit of 11034? 0 What is the tens digit of 51143? 4 What is the tens digit of 3178? 7 What is the thousands digit of 1007? 1 What is the units digit of 645? 5 What is the hundreds digit of 72376? 3 What is the tens digit of 3241? 4 What is the hundreds digit of 10649? 6 What is the hundreds digit of 3176? 1 What is the units digit of 266? 6 What is the hundreds digit of 61222? 2 What is the thousands digit of 1853? 1 What is the units digit of 68383? 3 What is the units digit of 10? 0 What is the tens digit of 29739? 3 What is the tens digit of 37293? 9 What is the thousands digit of 1635? 1 What is the units digit of 19251? 1 What is the hundreds digit of 816? 8 What is the tens digit of 20531? 3 What is the ten thousands digit of 17819? 1 What is the units digit of 15004? 4 What is the tens digit of 7792? 9 What is the units digit of 1357? 7 What is the units digit of 502? 2 What is the units digit of 4554? 4 What is the thousands digit of 1604? 1 What is the ten thousands digit of 20914? 2 What is the hundreds digit of 1032? 0 What is the ten thousands digit of 84761? 8 What is the units digit of 17197? 7 What is the hundreds digit of 1894? 8 What is the units digit of 3577? 7 What is the thousands digit of 2577? 2 What is the units digit of 9525? 5 What is the hundreds digit of 13773? 7 What is the hundreds digit of 11350? 3 What is the ten thousands digit of 29208? 2 What is the tens digit of 4866? 6 What is the units digit of 42492? 2 What is the hundreds digit of 701? 7 What is the tens digit of 304? 0 What is the hundreds digit of 26054? 0 What is the tens digit of 5193? 9 What is the hundreds digit of 13807? 8 What is the hundreds digit of 1605? 6 What is the tens digit of 665? 6 What is the hundreds digit of 7200? 2 What is the tens digit of 1033? 3 What is the units digit of 448? 8 What is the units digit of 2104? 4 What is the thousands digit of 7260? 7 What is the tens digit of 65999? 9 What is the units digit of 2053? 3 What is the tens digit of 41191? 9 What is the tens digit of 19565? 6 What is the thousands digit of 67843? 7 What is the tens digit of 49831? 3 What is the hundreds digit of 3257? 2 What is the units digit of 858? 8 What is the hundreds digit of 1167? 1 What is the hundreds digit of 1258? 2 What is the units digit of 210? 0 What is the ten thousands digit of 32806? 3 What is the units digit of 2536? 6 What is the hundreds digit of 157820? 8 What is the thousands digit of 19267? 9 What is the thousands digit of 16091? 6 What is the hundred thousands digit of 177514? 1 What is the tens digit of 25489? 8 What is the thousands digit of 3658? 3 What is the hundreds digit of 9948? 9 What is the hundreds digit of 8116? 1 What is the ten thousands digit of 16875? 1 What is the ten thousands digit of 15415? 1 What is the hundreds digit of 1840? 8 What is the units digit of 838? 8 What is the hundreds digit of 4304? 3 What is the hundreds digit of 87093? 0 What is the tens digit of 2720? 2 What is the hundreds digit of 7229? 2 What is the hundreds digit of 6803? 8 What is the tens digit of 7939? 3 What is the tens digit of 7968? 6 What is the thousands digit of 3577? 3 What is the units digit of 767? 7 What is the thousands digit of 9720? 9 What is the hundreds digit of 49188? 1 What is the thousands digit of 67964? 7 What is the tens digit of 2754? 5 What is the hundreds digit of 860? 8 What is the tens digit of 3816? 1 What is the hundreds digit of 915? 9 What is the hundreds digit of 867? 8 What is the thousands digit of 1549? 1 What is the ten thousands digit of 22613? 2 What is the thousands digit of 6684? 6 What is the hundreds digit of 29217? 2 What is the thousands digit of 1841? 1 What is the tens digit of 4641? 4 What is the tens digit of 4754? 5 What is the units digit of 56155? 5 What is the units digit of 29024? 4 What is the ten thousands digit of 26826? 2 What is the tens digit of 969? 6 What is the hundreds digit of 2696? 6 What is the ten thousands digit of 24876? 2 What is the hundreds digit of 458? 4 What is the units digit of 11708? 8 What is the units digit of 739? 9 What is the hundreds digit of 1273? 2 What is the tens digit of 2814? 1 What is the tens digit of 15027? 2 What is the hundreds digit of 21130? 1 What is the units digit of 81239? 9 What is the tens digit of 16148? 4 What is the tens digit of 45? 4 What is the units digit of 47769? 9 What is the units digit of 1854? 4 What is the hundreds digit of 12860? 8 What is the units digit of 24937? 7 What is the tens digit of 580? 8 What is the ten thousands digit of 27844? 2 What is the thousands digit of 7083? 7 What is the thousands digit of 36225? 6 What is the thousands digit of 2442? 2 What is the tens digit of 6325? 2 What is the thousands digit of 7159? 7 What is the tens digit of 18439? 3 What is the hundreds digit of 440? 4 What is the tens digit of 672? 7 What is the tens digit of 1002? 0 What is the hundreds digit of 1602? 6 What is the ten thousands digit of 162648? 6 What is the units digit of 288? 8 What is the thousands digit of 9163? 9 What is the units digit of 219? 9 What is the ten thousands digit of 12211? 1 What is the hundreds digit of 47587? 5 What is the units digit of 805? 5 What is the hundreds digit of 1060? 0 What is the tens digit of 17163? 6 What is the tens digit of 1076? 7 What is the tens digit of 8580? 8 What is the ten thousands digit of 32086? 3 What is the units digit of 25668? 8 What is the hundreds digit of 946? 9 What is the thousands digit of 1840? 1 What is the hundreds digit of 6262? 2 What is the units digit of 1006? 6 What is the hundreds digit of 670? 6 What is the tens digit of 2261? 6 What is the thousands digit of 17457? 7 What is the hundreds digit of 236? 2 What is the tens digit of 31684? 8 What is the hundreds digit of 6817? 8 What is the ten thousands digit of 46918? 4 What is the tens digit of 86? 8 What is the hundreds digit of 11431? 4 What is the hundreds digit of 23692? 6 What is the thousands digit of 81388? 1 What is the units digit of 26361? 1 What is the hundreds digit of 158023? 0 What is the thousands digit of 2224? 2 What is the hundreds digit of 15071? 0 What is the tens digit of 6426? 2 What is the tens digit of 2903? 0 What is the units digit of 3895? 5 What is the units digit of 41088? 8 What is the hundreds digit of 365? 3 What is the units digit of 687? 7 What is the thousands digit of 43987? 3 What is the ten thousands digit of 12474? 1 What is the hundreds digit of 7076? 0 What is the units digit of 44003? 3 What is the units digit of 110? 0 What is the tens digit of 773? 7 What is the units digit of 15644? 4 What is the thousands digit of 45293? 5 What is th
{ "pile_set_name": "DM Mathematics" }
, 6470? 10972 What is the next term in 2088, 4156, 6222, 8286, 10348, 12408? 14466 What is next in -80091, -80047, -80003, -79959? -79915 What is the next term in -75580, -75647, -75760, -75919, -76124, -76375, -76672? -77015 What is next in 14, 99, 178, 251, 318, 379? 434 What comes next: -14738, -59045, -132890, -236273, -369194, -531653, -723650? -945185 What is the next term in 1604, 3165, 4726, 6287, 7848? 9409 What comes next: 3316, 6625, 9932, 13237? 16540 What comes next: -34, -73, -158, -313, -562, -929? -1438 What comes next: -971, -909, -819, -695, -531, -321? -59 What is next in -118944, -237892, -356844, -475800, -594760, -713724? -832692 What is the next term in -1264, -1227, -1188, -1147, -1104? -1059 What comes next: 7698, 15818, 23936, 32052, 40166? 48278 What is next in 336711, 673423, 1010135, 1346847, 1683559? 2020271 What is the next term in -2, -52, -134, -260, -442, -692, -1022? -1444 What is the next term in -3027, -3144, -3261, -3378, -3495? -3612 What is the next term in -317, -642, -973, -1310, -1653? -2002 What is next in -1045, -2126, -3209, -4294, -5381? -6470 What is next in -211, -390, -581, -790, -1023, -1286? -1585 What comes next: 108297, 108272, 108225, 108150, 108041, 107892? 107697 What is next in 40, 248, 628, 1186, 1928, 2860, 3988? 5318 What is the next term in -30845, -61689, -92533, -123377, -154221, -185065? -215909 What is next in -159350, -318710, -478070? -637430 What comes next: -10454, -20897, -31340? -41783 What is next in -20017, -80067, -180151, -320269, -500421, -720607? -980827 What is next in -11220, -11214, -11210, -11208, -11208, -11210? -11214 What is the next term in -24818, -24823, -24828, -24833, -24838? -24843 What comes next: -9792, -11598, -13390, -15162, -16908, -18622, -20298, -21930? -23512 What is the next term in 683, 949, 1215, 1481, 1747, 2013? 2279 What is next in 1484, 1272, 690, -448, -2328, -5136, -9058? -14280 What is next in 24813, 198114, 668501, 1584516, 3094701, 5347598, 8491749? 12675696 What is the next term in -625, -1183, -1671, -2089, -2437? -2715 What is the next term in 95, 150, 197, 230, 243, 230? 185 What is next in 127742, 127744, 127746, 127748, 127750, 127752? 127754 What is the next term in 529, 292, -61, -524, -1091? -1756 What comes next: -172, -814, -1886, -3388, -5320, -7682, -10474? -13696 What comes next: -630, -785, -1196, -1989, -3290? -5225 What comes next: -29461, -117833, -265119, -471319? -736433 What is the next term in 24, -238, -1284, -3612, -7720, -14106, -23268? -35704 What is next in 3977, 15846, 35611, 63272, 98829? 142282 What is the next term in 56837, 113664, 170493, 227324, 284157, 340992, 397829? 454668 What is the next term in 16102, 16105, 16106, 16105? 16102 What comes next: -409, -760, -1227, -1870, -2749, -3924, -5455, -7402? -9825 What is the next term in -68, 806, 3178, 7798, 15416, 26782, 42646, 63758? 90868 What is the next term in 5698, 5766, 5880, 6040, 6246? 6498 What is the next term in 204, 275, 350, 429, 512? 599 What is next in -585, -570, -549, -522, -489, -450? -405 What comes next: -922, -924, -924, -916, -894, -852, -784? -684 What is the next term in 472, 945, 1418, 1891? 2364 What comes next: -65029, -130044, -195057, -260068, -325077, -390084? -455089 What is the next term in -1114, -2219, -3320, -4417, -5510? -6599 What is the next term in 32768, 32750, 32714, 32654, 32564, 32438? 32270 What is next in 3937, 3869, 3803, 3739, 3677, 3617, 3559? 3503 What is next in -4176, -8434, -12770, -17184, -21676? -26246 What is next in -44361, -88749, -133137? -177525 What is the next term in 27061, 27070, 27089, 27124, 27181, 27266, 27385? 27544 What is next in 624827, 624837, 624869, 624935, 625047, 625217? 625457 What is next in -297880, -595834, -893798, -1191778, -1489780, -1787810, -2085874? -2383978 What comes next: -133297, -133295, -133293, -133291, -133289? -133287 What is the next term in 198, 464, 706, 912, 1070? 1168 What is next in -115407, -115405, -115403? -115401 What is next in -144160, -288324, -432488, -576652, -720816? -864980 What is next in -9613, -19224, -28835, -38446, -48057? -57668 What is next in 10549, 84230, 284223, 673684, 1315769, 2273634, 3610435? 5389328 What is the next term in 392, 265, 142, 23, -92, -203, -310? -413 What comes next: 5, 30, 55, 68, 57, 10, -85, -240? -467 What is next in 3274, 6542, 9820, 13114, 16430, 19774? 23152 What comes next: -1945, -1947, -1953, -1963? -1977 What is the next term in -29, -52, -99, -176, -289, -444, -647? -904 What comes next: -501, -477, -447, -411? -369 What comes next: -83, -616, -2071, -4910, -9595, -16588, -26351? -39346 What is next in 18545, 18564, 18597, 18644? 18705 What is the next term in -817, -3254, -7313, -12988, -20273? -29162 What is next in 145900, 146158, 146426, 146710, 147016? 147350 What is next in -8, -75, -180, -323, -504? -723 What is next in 3615, 7235, 10861, 14493, 18131, 21775, 25425? 29081 What comes next: 1032, 1012, 992, 972? 952 What is next in -42516, -170062, -382640, -680250, -1062892? -1530566 What is the next term in -5433, -5415, -5385, -5343, -5289, -5223, -5145? -5055 What comes next: 278, 248, 212, 170, 122, 68? 8 What comes next: 3, -22, -99, -258, -529? -942 What is the next term in 369631, 739270, 1108923, 1478596, 1848295, 2218026, 2587795? 2957608 What comes next: -7794, -7808, -7820, -7830? -7838 What comes next: 61, -55, -299, -671? -1171 What is the next term in -416316, -832632, -1248948, -1665264? -2081580 What comes next: -537, -3828, -12579, -29520, -57381, -98892, -156783? -233784 What is next in 854, 1696, 2538? 3380 What comes next: -66, -226, -490, -864, -1354, -1966, -2706? -3580 What comes next: -7800, -15600, -23406, -31218, -39036, -46860, -54690? -62526 What comes next: -12230, -24463, -36684, -48887, -61066? -73215 What comes next: 6114, 6156, 6200, 6252, 6318, 6404, 6516? 6660 What comes next: -25028, -24721, -24412, -24101? -23788 What is the next term in -48, -73, -120, -195, -304? -453 What is next in 6362, 12730, 19098, 25466, 31834, 38202? 44570 What is next in -213, 2107, 5973, 11385? 18343 What is the next term in -6739, -6750, -6761? -6772 What is the next term in 1240, 1251, 1262, 1273, 1284? 1295 What comes next: -301, -1237, -2795, -4975, -7777, -11201, -15247? -19915 What comes next: 194, 372, 558, 758, 978, 1224? 1502 What is the next term in -444, -900, -1376, -1872, -2388, -2924, -3480? -4056 What is the next term in -237, -234, -223, -198, -153, -82, 21? 162 What is next in 144, 262, 456, 726, 1072, 1494, 1992? 2566 What is the next term in 270, 296, 368, 510, 746, 1100? 1596 What comes next: 262597, 262599, 262611, 262639, 262689, 262767? 262879 What is the next term in -139, -1239, -4207, -9973, -19467, -33619? -53359 What comes next: 11814, 11818, 11824, 11832, 11842, 11854, 11868? 11884 What comes next: 392, 1530, 3424, 6074, 9480, 13642? 18560 What is next in -345, -200, -55, 90, 235? 380 What comes next: -16461, -16533, -16651, -16815, -17025? -17281 What is next in -374, -657, -946, -1241, -1542, -1849? -2162 What is next in -21, -86, -173, -276, -389, -506, -621, -728? -821 What is next in -60962, -60963, -60958, -60941, -60906, -60847, -60758? -60633 What is next in -26, -80, -204, -434, -806, -1356, -2120, -3134? -4434 What is the next term in -7376, -14741, -22098, -29447, -36788, -44121, -51446? -58763 What is the next term in -5431, -21875, -49259, -87565, -136775, -196871, -267835, -349649? -442295 What comes next: 829, 2185, 3529, 4855, 6157, 7429? 8665 What is the next term in 1121, 2150, 2987, 3536, 3701, 3386, 2495? 932 What comes next: 3154, 6316, 9488, 12676, 15886? 19124 What is next in 2, -71, -206, -415, -710? -1103 What is next in -33468, -33465, -33462, -33459, -33456, -33453? -33450 What comes next: 1593, 3176, 4735, 6258, 7733, 9148? 10491 What is the next term in -116, -217, -284, -299, -244, -101, 148? 521 What is next in -60, 17, 94? 171 What comes next: -23, -32, -47, -68? -95 What is the next term in -410, 960, 4682, 11932, 23886? 41720 What comes next: 68201, 136426, 204639, 272834, 341005, 409146? 477251 What is the next term in 196, 740, 1632, 2860, 4412, 6276, 8440? 10892 What comes next: 31581, 63166, 94753, 126342, 157933
{ "pile_set_name": "DM Mathematics" }
2*g**2 + 9*g + 18. What is x(13)? -34 Let c(p) = -2*p**3 - 14*p**2 + 27*p + 9. Give c(2). -9 Let s(r) = -r + 54. Calculate s(4). 50 Let f(r) = r - 26. Calculate f(-9). -35 Let y(r) = -r**2 + r - 3. Give y(-2). -9 Let v(p) = p**3 - p**2 - 18*p + 1. Determine v(5). 11 Let u(j) = j**2 + 14*j - 11. Give u(-14). -11 Let h(f) = -2*f - 1. Calculate h(-3). 5 Let d(u) = -23*u + 16. Calculate d(4). -76 Let d(z) = z + 10. What is d(7)? 17 Let r(a) = -a**3 + 25*a**2 + 26*a - 3. Determine r(26). -3 Let n(q) = q**3 - 13*q**2 - 30*q + 9. Determine n(15). 9 Let a(v) = 6*v - 15. Give a(7). 27 Let a(j) = j**3 - 8*j**2 - 8*j - 5. Calculate a(9). 4 Let v(u) = -3*u**2 - 2*u + 9. Determine v(3). -24 Let s(a) = -a**3 + 3*a**2 + 2*a + 17. What is s(4)? 9 Let f(l) = -l**3 + 3*l**2 + 7*l + 8. Determine f(-3). 41 Let i(m) = 14*m - 1. Calculate i(5). 69 Let f(i) = 2*i - 37. Calculate f(21). 5 Let k(p) = -p**3 - 5*p**2 + 5*p - 8. What is k(-6)? -2 Let x(v) = -9*v + 60. Give x(10). -30 Let r(w) = w**3 + 35*w**2 - 75*w - 43. Determine r(-37). -6 Let s(y) = -5*y + 79. Calculate s(0). 79 Let d(a) = -5*a - 27. Give d(-7). 8 Let j(i) = 5*i - 20. Determine j(3). -5 Let o(h) = -51*h + 151. What is o(3)? -2 Let q(j) = j**3 + j - 86. Give q(0). -86 Let s(m) = -5*m - 9. What is s(-11)? 46 Let f(l) = l**3 + 10*l**2 + 5*l - 32. Give f(-9). 4 Let l(m) = m**3 + 14*m**2 + 12*m - 13. What is l(-13)? 0 Let i(g) = -3*g - 11. Calculate i(-3). -2 Let p(i) = i - 13. Determine p(-5). -18 Let f(j) = -j**3 - 19*j**2 + 21*j + 3. Give f(-20). -17 Let p(c) = -2*c - 11. Calculate p(0). -11 Let k(a) = 2*a**3 + 2*a + 2. What is k(3)? 62 Let x(a) = -3*a + 4. Determine x(-4). 16 Let n(j) = j**3 - 10*j**2 - 11*j + 4. Determine n(11). 4 Let s(d) = 2*d**3 + 10*d**2 + 4*d + 6. What is s(-4)? 22 Let y(a) = -2*a**2 - a + 3. Calculate y(1). 0 Let q(y) = y**2 + 3*y - 9. Determine q(-8). 31 Let w(s) = -s**2 - s. What is w(4)? -20 Let b(r) = -2*r**3 + 3*r**2 + 4*r + 3. Calculate b(4). -61 Let q(z) = -7*z**3 - 2*z**2 + z + 2. Calculate q(-1). 6 Let b(z) = z**3 - 11*z**2 + 23*z - 8. Calculate b(9). 37 Let x(b) = -3*b + 46. Give x(23). -23 Let t(i) = i**2 + 5*i - 46. Give t(9). 80 Let v(b) = 6*b - 54. Calculate v(26). 102 Let c(v) = -v**3 + 19*v**2 + 20*v - 2. Determine c(20). -2 Let y(a) = 30*a**2 - 2*a + 3. Give y(1). 31 Let k(z) = -z**2 - 10*z + 2. What is k(-11)? -9 Let w(g) = g**2 - 13*g - 18. Calculate w(14). -4 Let s(t) = 2*t + 10. Determine s(5). 20 Let t(j) = 3*j - 43. Calculate t(11). -10 Let c(u) = 14*u - 32. Calculate c(-4). -88 Let o(r) = -r**2 - 7*r + 13. Calculate o(-8). 5 Let u(z) = z**3 + 11*z**2 + 15*z - 16. Give u(-9). 11 Let s(n) = -2*n**3 + n**2 + 3*n. Calculate s(-2). 14 Let k(s) = 3*s**3 - 14*s**2 - 22*s - 8. Give k(6). 4 Let z(p) = 3*p**3 - 3*p**2 + p - 3. What is z(3)? 54 Let f(n) = 3*n + 23. What is f(-4)? 11 Let j(o) = -10*o + 38. Calculate j(4). -2 Let f(i) = 2*i**2 - 25*i + 33. Give f(16). 145 Let y(u) = 6*u**3. Give y(-1). -6 Let p(i) = -3*i + 31. Give p(14). -11 Let k(a) = -9*a**3. Calculate k(-1). 9 Let z(g) = g**3 + 14*g**2 + 23*g - 12. Determine z(-12). 0 Let o(m) = m**2 - 12*m - 17. What is o(13)? -4 Let w(p) = -p - 3. Give w(-1). -2 Let i(q) = -4*q**3 - q**2 + 4*q + 3. Determine i(-3). 90 Let l(z) = -z. Determine l(22). -22 Let k(u) = 58*u - 464. What is k(8)? 0 Let b(v) = -2*v**2 - 12*v + 13. Determine b(-9). -41 Let s(h) = 3*h**3 + 4*h**2 - h - 3. Determine s(-3). -45 Let h(m) = 2*m + 49. Give h(4). 57 Let f(l) = -7*l - 36. Determine f(-11). 41 Let j(w) = w**2 + 27*w - 24. What is j(-29)? 34 Let z(x) = -7*x**2 + 4. What is z(-2)? -24 Let w(v) = 3*v**3 + 4*v - 2. What is w(2)? 30 Let x(l) = -l**3 + 35*l**2 - 69*l + 90. Calculate x(33). -9 Let l(x) = -2*x**2 - 11*x + 27. Determine l(-8). -13 Let n(i) = i**3 + i**2 - 3*i - 4. What is n(-1)? -1 Let i(r) = -r**2 + 6*r - 2. Determine i(6). -2 Let m(o) = -17*o - 4. Calculate m(-4). 64 Let r(l) = -39*l**3 - l. Calculate r(-1). 40 Let i(o) = 23*o + 394. Give i(-17). 3 Let s(d) = 6*d**2 - 23*d - 4. What is s(-3)? 119 Let l(w) = w**2 - 7. What is l(-3)? 2 Let b(y) = -8*y + 35. What is b(4)? 3 Let u(f) = 2*f**2 - f - 1. Determine u(-2). 9 Let z(k) = -19*k**2 + k - 1. Determine z(1). -19 Let q(t) = 5*t**2 - 4*t - 10. Determine q(-2). 18 Let n(m) = m**3 - 7*m**2 - 3*m - 11. Calculate n(8). 29 Let b(a) = -9*a + 5. Calculate b(-7). 68 Let g(d) = -50*d + 857. Calculate g(17). 7 Let c(v) = -2*v**2 - 9*v + 19. What is c(-6)? 1 Let a(q) = q**3 + 6*q**2 + 4*q + 3. Calculate a(-2). 11 Let u(r) = -r - 6. What is u(-6)? 0 Let x(f) = -10*f + 58. What is x(6)? -2 Let s(x) = x**2 - 5*x + 10. Determine s(4). 6 Let i(z) = -z**3 + 9*z**2 - 9*z - 9. Determine i(7). 26 Let f(q) = 8*q**3 - 2*q**2 + q - 1. Give f(2). 57 Let b(c) = -5*c**2 + 1. Calculate b(-1). -4 Let a(s) = s**3 - 13*s**2 - 30*s - 4. Give a(15). -4 Let k(o) = o**3 - 7*o**2 - 28*o + 15. What is k(10)? 35 Let g(x) = 2*x - 5. Calculate g(-1). -7 Let u(c) = -8*c**3 - 2*c**2 - 3*c - 2. Calculate u(-1). 7 Let b(c) = -5*c**2 - 8*c - 8. What is b(-4)? -56 Let b(z) = -z**3 - 4*z**2 - 7*z - 6. What is b(-5)? 54 Let o(f) = 10*f**2 - 4*f + 4. Give o(-3). 106 Let l(j) = -j**2 - j + 19. Determine l(5). -11 Let t(d) = -3*d**2 - 3*d + 1. Calculate t(-3). -17 Let k(u) = 6*u + 60. Determine k(-10). 0 Let r(k) = -11*k + 47. Determine r(4). 3 Let v(n) = -n**3 - 6*n**2 + 7*n - 7. Calculate v(-7). -7 Let y(c) = -c**3 - 5*c**2 + 23*c - 7. Determine y(3). -10 Let c(y) = -y**2 - 10*y + 22. Calculate c(-7). 43 Let m(l) = l**3 - 5*l**2 - 7. Calculate m(5). -7 Let d(i) = i - 2. Give d(2). 0 Let d(y) = -4*y**2 - 19*y - 29. Determine d(-4). -17 Let s(m) = -45*m - 3. Calculate s(-1). 42 Let n(m) = m**2 - 15*m - 53. What is n(18)? 1 Let k(b) = b**3 - 3*b**2 + 3*b + 5. Determine k(4). 33 Let c(q) = -3*q + 57. What is c(16)? 9 Let l(t) = t**3 + 23*t**2 + 2*t + 34. Calculate l(-23). -12 Let j(v) = -2*v**3 + 20*v**2 - 18*v + 9. Give j(9). 9 Let u(l) = 2*l**2 - 11*l - 13. Calculate u(6). -7 Let f(x) = -x**3 - 5*x**2 + 14*x + 11. Calculate f(-7). 11 Let t(f) = 5*f**2 - 47*f + 37. Determine t(9). 19 Let p(k) = -3*k**2 + 8*k - 13. Determine p(2). -9 Let r(v) = 3*v + 11. Calculate r(-4). -1 Let z(g) = -2*g - 30. Determine z(0). -30 Let b(z) = 33*z - 15. Calculate b(-7). -246 Let p(j) = -j**3 - 3*j**2 + 6*j + 7. Calculate p(-4). -1 Let m(v) = v - 14. What is m(11)? -3 Let x(v) = v**3 + 3*v**2 - 5*v - 6. Determine x(-3). 9 Let n(y) = 78*y + 307. Determine n(-4). -5 Let c(d) = d**2 + 57*d + 2. Calculate c(0). 2 Let n(s) = 20*s**2 - s + 1. Give n(1). 20 Let k(r) = -8*r + 31. Give k(4). -1 Let x(t) = -8*t - 28. Calculate x(-4). 4 Let h(p) = -p + 1. What is h(6)? -5 Let v(z) = 3*z**3 + 3*z**2 + z + 2. Determine v(-2). -12 Let j(z) = -z**2 + 18*z + 2. Give j(4). 58 Let o(l) = 19*l + 191. Calculate o(-10). 1 Let s(u) = u**3 - 44*u**2 + 197*u - 78. Give s(39). 0 Let u(g) = 2*g**3 - 2*g**2 - g + 3. Give u(2). 9 Let a(m) = m - 7. Give a(0). -7 Let r(f) = f**2 + 4*f + 1. Determine r(-6). 13 Let d(z) = z**3 - 9*z**2 + 11. Calculate d(9). 11 Let z(n) = 12*n**3 + 3*n**2 + n - 1. Determine z(-1). -11 Let h(a) = a**3 + 3*a**2 - 13*a - 12. Calculate h(-5). 3 Let i(a) = -a**3 + 7*a**2 + a + 4. Calculate i(7). 11 Let p(k) = -2*k**2 - 3*k + 29. What is p(4)? -15 Let h(j) = -7*j + 1. Give h(1). -6 Let i(v) = -v**3 + 55*v**2 + 118*v - 231. Determine i(57). -3 Let b(f) = -5*f**2 - f + 5. Determine b(-2). -13 Let f(j) = -j**3 + 8*j**2 + 9*j - 21. Calculate f(9). -21 Let o(x) = x**2 + 17*x - 175. What is o(7)? -7 Let n(a) = -5*a**2 + 7*a + 1. Determine n(3). -23 Let h(q) = 2*q**2 - 2*q - 7. Calculate h(-3). 17 Let n(a) = -2*a + 45. Give n(29). -13 Let t(q) = -17*q - 128. Give t(-5). -43 Let i(k) = 9*k - 1. Give i(2). 17 Let u(q) = q**3 - 9*q**2 + 19*q + 2. Calculate u(6). 8 Let s(d) = 3*d**2 - 27*d - 200. Determine s(14). 10 Let b(a) = -a**3 - 7*a**2 - 2*a - 8. Determine b(-7). 6 Let g(c) = -22*c - 27. Calculate g(-8). 149 Let a(w) = -22*w**2 - w - 1. Determine a(-1). -22 Let x(v) = -61*v**3 + 2*v**2 - 1. Calculate x(-1). 62 Let z(p) = 31*p + 25. Calculate z(0). 25 Let c(z) = -2*z + 4. Give c(7). -10 Let l(o) = o**3 + 4*o**2 + 3*o + 6. Give l(-4). -6 Let t(i) = -6*i - 14. Give t(14). -98 Let d(g) = -5*g**2 + 2*g - 1. What is d(-2)? -25 Let p(g) = -g**2 - 7*
{ "pile_set_name": "DM Mathematics" }
+ -101111101101? -101111101110 In base 12, what is -8 + 3a? 32 In base 6, what is -3 - 13234? -13241 In base 16, what is 5 - cd8? -cd3 In base 5, what is -10 + -234? -244 In base 8, what is 2 - -112? 114 In base 16, what is 17 + -f? 8 In base 8, what is -7 + -15? -24 In base 4, what is 22 + -2210? -2122 In base 11, what is -2 + 48? 46 In base 13, what is 4 - -560? 564 In base 12, what is 90 + 5? 95 In base 6, what is -3 + -35532? -35535 In base 9, what is -3 + -41? -44 In base 14, what is -8 - 14? -1c In base 13, what is -27c + 7? -275 In base 5, what is 2241 + -11? 2230 In base 6, what is 4 - -312? 320 In base 12, what is -8 - -11? 5 In base 10, what is 2 + 18? 20 In base 5, what is -2304 - 2? -2311 In base 7, what is -246 + 3? -243 In base 14, what is 207 - 4? 203 In base 10, what is -4583 - -7? -4576 In base 9, what is 5 - 367? -362 In base 6, what is 351 + -11? 340 In base 15, what is ab3 - 5? aad In base 6, what is 10 - -1145? 1155 In base 5, what is -431343 - -10? -431333 In base 9, what is -3 + -81? -84 In base 6, what is -20 + 102? 42 In base 6, what is 3203 + 5? 3212 In base 6, what is -3 - -12? 5 In base 15, what is 24 + 1? 25 In base 7, what is -1543 - -3? -1540 In base 15, what is -4 - b1? -b5 In base 9, what is 4 + 1484? 1488 In base 6, what is 11111 + -5? 11102 In base 14, what is 9b65 - -5? 9b6a In base 13, what is -43 - 11? -54 In base 7, what is -10 - -200? 160 In base 4, what is -10 - -233? 223 In base 8, what is 1 + 343? 344 In base 14, what is 253 + 3? 256 In base 5, what is 3 - 344? -341 In base 7, what is 350 + 4? 354 In base 3, what is -12102110 + 2? -12102101 In base 11, what is 8 + -86? -79 In base 4, what is 20 + 2? 22 In base 16, what is 0 + -aa4? -aa4 In base 12, what is -596 - -2? -594 In base 3, what is 121120 + 11? 121201 In base 8, what is 7 - -36? 45 In base 13, what is b4 - 2? b2 In base 4, what is -301 - -33? -202 In base 6, what is 3 - -5032? 5035 In base 16, what is -63b - 4? -63f In base 6, what is 1344 - 1? 1343 In base 9, what is -11 - -211? 200 In base 4, what is -1 - -203? 202 In base 13, what is -c + -38? -47 In base 9, what is -153 + 3? -150 In base 9, what is -24 - -17? -6 In base 9, what is 4702 - 1? 4701 In base 14, what is -6 + -14? -1a In base 5, what is 43311 + -4? 43302 In base 8, what is 1 - 3122? -3121 In base 3, what is -21102 - 12? -21121 In base 6, what is -350 + 2? -344 In base 4, what is -13101 - -1? -13100 In base 4, what is 233 + 311? 1210 In base 14, what is -3 - -65? 62 In base 14, what is -13 - 21? -34 In base 7, what is 0 - -214? 214 In base 3, what is 1102 + 20? 1122 In base 4, what is -2 - -11010? 11002 In base 16, what is -1f51 - 1? -1f52 In base 7, what is -25 + 1653? 1625 In base 6, what is -1204 + 15? -1145 In base 12, what is 4 - a1? -99 In base 3, what is 10102011 + 0? 10102011 In base 8, what is 5 - -1101? 1106 In base 4, what is 2311310 - 1? 2311303 In base 4, what is -1 + 20122? 20121 In base 14, what is 19 + -46? -2b In base 4, what is 10101 - 1? 10100 In base 5, what is -4 + 12? 3 In base 9, what is 388 - -1? 400 In base 13, what is 82c6 - 5? 82c1 In base 5, what is 124 + -123? 1 In base 7, what is -245 + -10? -255 In base 13, what is 4 + 24? 28 In base 14, what is 6 + -9? -3 In base 15, what is 1 + 1457? 1458 In base 3, what is -12200101 + 0? -12200101 In base 8, what is -1056 - -5? -1051 In base 9, what is 5 - 286? -281 In base 3, what is -10 + -2201010? -2201020 In base 15, what is -b - 187? -193 In base 11, what is -115 - 108? -222 In base 16, what is -3a56 - -3? -3a53 In base 4, what is -21300 - 13? -21313 In base 10, what is 17 - 7? 10 In base 16, what is -4 + 1b7? 1b3 In base 3, what is 12 + -12221? -12202 In base 8, what is -3 + -10? -13 In base 11, what is 5 + -43? -39 In base 8, what is -23565 + 0? -23565 In base 14, what is 2 - 1115? -1113 In base 2, what is -1111010 - 100011? -10011101 In base 5, what is 3 + 414? 422 In base 5, what is 30 + -21? 4 In base 7, what is -324 + -2? -326 In base 7, what is 466 + 0? 466 In base 2, what is 110000 + 11001? 1001001 In base 10, what is -14 - -39? 25 In base 7, what is 2 + -350? -345 In base 4, what is -2002 + 3? -1333 In base 11, what is 1 + a1? a2 In base 7, what is 104542 - 4? 104535 In base 3, what is -11100122 - -2? -11100120 In base 9, what is -10 - 4? -14 In base 11, what is -13 - 577? -58a In base 7, what is -20606 + 4? -20602 In base 7, what is 40 + -6? 31 In base 14, what is 3 + -47? -44 In base 6, what is -21 - 4? -25 In base 5, what is 20 - 133? -113 In base 9, what is 4880 - 5? 4874 In base 7, what is -16 - 306? -325 In base 5, what is 10 - 21033? -21023 In base 6, what is -10 + 4425? 4415 In base 8, what is 205 - -2? 207 In base 9, what is -5 - 54? -60 In base 13, what is -20 - -1c4? 1a4 In base 11, what is 1 - -1786? 1787 In base 14, what is 29c9 - 0? 29c9 In base 14, what is -4 + 1a2? 19c In base 14, what is -21c - c? -22a In base 4, what is 1110 - 1203? -33 In base 15, what is 3 - 584? -581 In base 6, what is 0 - 204? -204 In base 13, what is 8a + -2? 88 In base 8, what is -5 + -567? -574 In base 15, what is 12e + 4? 133 In base 7, what is -46 - 146? -225 In base 16, what is 23 - -14? 37 In base 15, what is 3c - 6? 36 In base 6, what is 4 + 43031? 43035 In base 9, what is -14 + 357? 343 In base 16, what is -207 + 3? -204 In base 12, what is 13 + -27? -14 In base 15, what is -2 + -86e? -871 In base 10, what is 0 - -155? 155 In base 12, what is 4 + -19? -15 In base 11, what is 84 - 5a? 25 In base 11, what is -3 + 3350? 3348 In base 13, what is 3 + -5b5? -5b2 In base 8, what is 352 - -5? 357 In base 3, what is 20 - 11101? -11011 In base 14, what is -237c + 2? -237a In base 10, what is -33 + 3? -30 In base 11, what is 2 + 61? 63 In base 8, what is -32 + -12? -44 In base 5, what is 314 - -144? 1013 In base 9, what is 4 + 680? 684 In base 4, what is -20012 + -300? -20312 In base 9, what is -138 + 2? -136 In base 9, what is 27 - -1? 28 In base 4, what is 0 - -132? 132 In base 4, what is -1321 + 11? -1310 In base 13, what is 3bb5 - -3? 3bb8 In base 5, what is 4 + 302? 311 In base 15, what is -6175 - -2? -6173 In base 10, what is -5189 - 0? -5189 In base 3, what is 22 - -202? 1001 In base 13, what is -1 + -17? -18 In base 7, what is -30 + -1525? -1555 In base 5, what is 1 + 241? 242 In base 13, what is 8 - -165? 170 In base 13, what is 612 - 5? 60a In base 4, what is -330 + -10? -1000 In base 11, what is 2193 - -4? 2197 In base 3, what is 12 + -100212? -100200 In base 11, what is -35 + -2? -37 In base 8, what is 64 + -15? 47 In base 12, what is 8a - -a? 98 In base 4, what is 31233 + -2? 31231 In base 15, what is -5 + -12b? -131 In base 15, what is -9 + -2ab? -2b5 In base 14, what is -8a - -16? -74 In base 12, what is -259 - -1? -258 In base 8, what is 30 + 10? 40 In base 7, what is 26 + -10? 16 In base 3, what is -102101 - -12? -102012 In base 11, what is -43 + -331? -374 In base 7, what is -413 + -24? -440 In base 5, what is 1104 - -32? 1141 In base 15, what is -2 + -24? -26 In base 4, what is 103031 + 10? 103101 In base 6, what is -4 - 35? -43 In base 16, what is -c5 - f? -d4 In base 3, what is 22 + -22001? -21202 In base 14, what is 158 - -3? 15b In base 9, what is 1337 + 2? 1340 In base 2, what is 101000 + -11001? 1111 In base 5, what is -14314 + 24? -14240 In base 8, what is -1546 - 3? -1551 In base 3, what is 2 + -2? 0 In base 2, what is 10001010011 - -1? 10001010100 In base 15, what is d07 - 2? d05 In base 10, what is 4 - -152? 156 In base 12, what is -7a - 30? -aa In base 9, what is 76 + -157? -71 In base 2, what is -101001101110 - 10? -101001110000 In base 9, what is 251 + 63? 324 In base 11, what is -469 + -3? -471 In base 11, what is 1004 + -7? aa8 In base 2, what is -111101 - 110? -1000011 In base 3, what is -11 + 21211? 21200 In base 2, what is -10 + -11000100? -11000110 In base 14, what is -78 - d6? -170 In base 4, what is 3 + 2023? 2032 In base 11, what is 4a01 - 5? 49a7 In base 11, what is 1a - 368? -349 In base 4, what is -2 - 1203? -1211 In base 11, what is -4 + 114? 110 In base 5, what is -2 + -22? -24 In base 3, what is 2022 - 100? 1222 In base 9, what is -5 - -1757? 1752 In base 8, what is -4 - -45? 41 In base 5, what is 23104 - 11? 23043 In base 2, what is 1100010111011110 - 1? 11000
{ "pile_set_name": "DM Mathematics" }
25)/((-14)/(-21)). 6/5 (352/56)/(66/231) + 1 + -9 14 What is ((-33)/(-21) - 2) + 1320/(-154)? -9 What is the value of 29*(20208/696 - 28)? 30 What is (-18)/14*(1/(-11))/((-81)/(-297))? 3/7 Evaluate (-38)/(-216) - 1347/5388. -2/27 What is (-20)/(-32) + ((-90)/(-240) - (-2)/(-8))? 3/4 6/2*(1 + 2 - (-2104)/(-696)) -2/29 Evaluate 112*(-23)/1472*2/42. -1/12 Calculate 93*200/1000*(1 + 16/(-6)). -31 What is the value of 40/(-6 - -16) - -3? 7 Calculate 6*18/(-27) + (-34)/(-9). -2/9 (-147)/(-42)*(-70)/49*(-1)/(-7) -5/7 What is the value of 10/385*-35*(2 + -13)? 10 Calculate 14/35 - ((-480)/50 + 6). 4 What is -9 + (8/2 - (-224)/40)? 3/5 -4 + -1 - (18/5)/((-44)/220) 13 What is (27/24)/(5/60*-9)*-14? 21 Calculate ((-2)/12)/1 + (-16302)/(-396) + -35. 6 Evaluate 282/69 - (1 + 16 - (-1729)/(-133)). 2/23 40/15*(-63)/28 -6 Calculate 4 + (15 + -14)/(-4)*(-104)/(-6). -1/3 What is (4 + -14)/5 + (-3 - (-150)/36)? -5/6 What is the value of (-6)/(-5)*(-1530)/(-5967)? 4/13 40 + (62 - 39) + -57 6 What is (50 - 95)*5/15? -15 (-98)/12 - ((-4)/(-3) - (-364)/(-39)) -1/6 (-604)/28 - 50/(-595)*-17 -23 What is the value of -2*(-255)/160 + 3/(-12) - 3? -1/16 What is the value of ((-4)/3)/(((-22)/(-396))/(1/4))? -6 45 + -42 - (3*(-1 + -6) + 0) 24 What is the value of (-50)/2*((-1700)/(-125) - (13 + 1))? 10 Calculate -1 - 171/(-33) - (-41 + (-2205)/(-49)). 2/11 Evaluate (140/(-300))/((693/18)/(-11)). 2/15 52/((-8)/(-2)) - (57 + -63) 19 What is the value of 8/36 - (-260)/(-360)? -1/2 Calculate 40 - 16/((-512)/(-352)). 29 (16 + 4386/(-153))*(1 - 4) 38 (660/40)/(-11)*4/(-66) 1/11 (3 - (-16 - -25)) + -3 -9 What is the value of 1 + -21 + 26 + 0? 6 ((-5)/110)/((-2)/44)*-15 -15 Evaluate (133/(-190))/(14/(-12)). 3/5 12/228 + (-336)/(-114) 3 What is the value of (-450)/70 + 21/(-2)*6/(-9)? 4/7 What is (3 - -2) + 50 + -22? 33 22790/530 + (-96)/4 19 Calculate (1628/(-66))/(-37) - (1 + (-68)/6). 11 Evaluate 10137/13020 - (-7)/(-245). 3/4 879/30 - (3/25)/((-40)/(-100)) 29 (-6)/15*((-13)/(-2) + 75 + -73) -17/5 What is the value of -1*(12 - -2 - 3)? -11 What is the value of (-8)/10 + 11590/665*2/40? 1/14 What is 56*((-6327)/(-888) + -1*7)? 7 Evaluate (-66)/9*(-30)/20*1/2. 11/2 Calculate (4/(-6)*45/(-10))/(39/(-130)). -10 Calculate ((-1780)/(-4450))/(2*(-3)/(-120)). 8 What is the value of (2/(-3))/(-2 - (-1120)/570)? 19 What is the value of 114 + -112 + (-5)/(20/52)? -11 ((-45)/(-21))/((-65)/((-2730)/54)) 5/3 Calculate (-4641)/(-238)*(-2)/8 + 2/(-16). -5 (-5)/25*((-5 - -68)/(-9) - -6) 1/5 What is the value of ((-3)/2)/((-510)/204)? 3/5 What is 25/(-15) - (5 - (-340)/30)? -18 (13 - 39) + 22 + -2 -6 Calculate 9/((-2)/2)*(-13 + (-4665)/(-360)). 3/8 What is the value of -10*7/56*(-4 + 2)? 5/2 What is the value of 81/108*14/(-3)*(9 + -5)? -14 What is (-47)/(-4) + 8 + 213/(-12) + 10? 12 What is (-2)/((-520)/34) - 20/(-200)? 3/13 What is (-2)/(-25) - (324/(-270) - 614/(-50))? -11 Evaluate ((6/40)/1)/(1232/(-40) + 32). 1/8 What is the value of (-3280)/(-2280) - (-2)/(-19)? 4/3 Evaluate 2/3*(-141 - -126). -10 190/(-42) + (-655)/(-393) -20/7 What is the value of -35 - 2140/240*-4? 2/3 Calculate (178/(-32040))/((-3)/24). 2/45 What is the value of (-31)/(-4) - (13/12 - (-236)/(-177))? 8 Calculate ((-9)/(-21))/((-225)/150). -2/7 What is the value of 7*(-60)/20 + 40? 19 (-132)/63 + (14 - (-72)/(-6)) -2/21 Calculate (0 + 3)*323/285*-5. -17 Evaluate (-9)/(810/(-12)) + (-6656)/(-480). 14 1*(-1)/2*1/((-1)/8) 4 What is ((-121)/(-22) + -1)*((-16)/72 + 0)? -1 Evaluate -8 + (18/4 - 2*(-16)/16). -3/2 What is 274756/(-12447) - (-22 - 0)? -2/27 Evaluate (116/104 + -4)/(42/112) - -8. 4/13 What is ((-640)/(-48))/(-20)*(-3)/4? 1/2 Evaluate 10 - 21/(-24)*-10. 5/4 0 + ((-1829)/(-93) - ((-8)/(-3) - 3)) 20 (-2 + 65)*((-3706)/(-102) - 36) 21 ((-3)/17)/(15*(-12)/4590) 9/2 What is (-32)/8 + -23 + 22? -5 What is ((-1)/6 + 476/168)*(-75)/(-12700)? 2/127 What is the value of (-30)/1040*(-16 - 0)? 6/13 Evaluate 18/6*-5*(-3)/(-6)*-2. 15 Evaluate ((-3562)/273 - -13)*18. -6/7 What is the value of 261/51 + -5 + 308/561? 2/3 Evaluate 231/(-245) + (-30)/525 - -7 - 14. -8 What is ((-5)/(75/5))/(-4 - 321/(-81))? 9 Evaluate (-1704)/(-70) + 354/413 + (-1)/5. 25 What is 8/(-10) + 2/(-10) - 594/(-432)? 3/8 (10/6)/((-530)/636) -2 What is the value of ((-38)/(-285)*6/16)/((-3)/24)? -2/5 Evaluate (-3 - (7 + -7))/(-3). 1 Evaluate (6/4)/(17/(-476)*21). -2 -3 - -18 - (41 + -42) 16 (-1 + 2 + 0)*11/(11/29) 29 What is the value of 5 + -2 - (-594)/(-176)? -3/8 Evaluate (-1 + (-2 - 1 - 0))*14/(-4). 14 Evaluate (-43)/(8600/80)*(-1 - -2). -2/5 -2*(-61 + 36 + 9/(27/24)) 34 ((-42)/28*1)/(54/8) -2/9 Evaluate 255/(-25) + 9/(-5). -12 What is 6/4 - (-4020)/(-120)*-1? 35 What is the value of 906/1208*(-1 + 26/(-6))? -4 Evaluate 22/4*648/(-1188). -3 Evaluate (11/((-528)/32))/(0 + (-66)/(-27)). -3/11 What is the value of 0 - -25 - (66 - 56)? 15 10/(-50) - (-92)/(-115) -1 Calculate (-5 - -29)*((-79)/(-1106))/(3/(-2)). -8/7 Calculate (-10)/(-16) - 29866/(-15344). 18/7 What is the value of (484 - 475) + (0 - (-482)/(-54))? 2/27 Calculate (2/(-10))/((-222)/185). 1/6 What is ((-32)/10 - 4/(-20)) + (-33)/(-3)? 8 Evaluate (-8)/(-52)*(-52)/(-16). 1/2 Calculate ((-12)/(-26) + 0)*226/678. 2/13 (1 - (-9)/4)/(12/(-48)) -13 Calculate (-23 - 1350/(-60))/((1/(-2))/1). 1 What is (25/2)/(-6 + 87/12)? 10 Evaluate 162/270 - (2 + 81/(-15)). 4 Evaluate (12/10)/(-3) + (-4922)/(-230) + -4. 17 What is (-5 + 527/62)*44/7? 22 Calculate (-33)/6*(167 + -165). -11 Evaluate (-20)/2 - (-10126)/976. 3/8 Calculate (75/30)/(10/20). 5 Evaluate (6/(-4))/((-6)/(-28)*(-1568)/(-3360)). -15 (-30)/25*(-260)/(-156) -2 (10 - (-339)/(-15)) + 12 -3/5 What is (-16 - (-5 + -12)) + 10*4/48? 11/6 Calculate (3 - (-57)/(-3)) + (184 - 141). 27 What is the value of 876/(-72) - 12/(-1)? -1/6 Evaluate (-3)/5*(-27 + (-552)/(-36)). 7 -2 - (-11649)/(-330) - -37 -3/10 What is the value of 372/1581*(-1)/(-2)? 2/17 What is (-1)/7*(-51786)/(-2466)? -3 What is ((-36)/6)/(-67 - -22)? 2/15 (-2 - -6) + 12261/(-3216) 3/16 What is 118/16 - 1405/(-2248)? 8 What is the value of (-455)/(-1700) - (-6)/(-51)? 3/20 What is the value of (11 - -31) + -43 + -1 + (-12)/(-2)? 4 Evaluate -1 + -5 - (-15)/((-11)/(33/9)). -11 Evaluate ((-392)/168)/((2 - 0)/6). -7 (-572)/22 + (-129)/(-5) -1/5 13 + 0 + (-570)/42 -4/7 What is the value of (-5)/(-35)*50 - -8*5/(-5)? -6/7 ((-102)/(-17))/((-3 + 1)/((-8)/(-32))) -3/4 What is the value of 455/(-70) - 87/(-6)? 8 What is (108/7 - (-228)/(-532) - 10) + -34? -29 What is (-39 - -23)/(24/(-18))? 12 (-576)/(-52) + 36/(-130) + 7/35 11 What is the value of 2*((-3)/(-9))/(-13*140/(-4680))? 12/7 What is 99/8910*60/9? 2/27 What is the value of (-2)/(3/(-216)*7 - (-71)/(-568))? 9 Evaluate ((-44)/8 - -5)*(-1 + (12 - 17)). 3 What is the value of ((-18)/4)/((-854)/56 + 13)? 2 Calculate 8196/4781*7*(-3)/(-6). 6 Calculate (39/(-63) + (-4)/(-14))/(40631/5946). -2/41 Calculate (50/420)/(30/744) + -3. -1/21 Calculate (26/208)/((-27)/(-576)). 8/3 (-16 - (-12)/(-44)) + 17 8/11 (-36)/(-63)*13356/1696 9/2 What is (-40 - -31) + (-9 - -11)/((-2)/(-18))? 9 Evaluate (-165)/(-252) - (-64)/(-112). 1/12 What is 24/(-240) + (-1534)/260? -6 (11/(-8) + 1)*36504/(-205335) 1/15 What is the value of (-4)/45 - (-122)/(-915)? -2/9 What is the value of ((-6859)/1083)/(4/12)? -19 Evaluate 25/15*(-18)/6*1. -5 Evaluate (1 + (-238)/255)/((-1)/(-21)). 7/5 What is (-345)/(-9 - 6) + (-1 + 0)*7? 16 Evaluate ((-35)/(-5) - 2*(7 + -8)) + -27. -18 (-240)/36*15/40 -5/2 Evaluate 25 + -7 + 20/(80/(-12)). 15 Calculate ((13 + (-872)/64)*1/5)/2. -1/16 5324/(-968)*4/(-99) 2/9 Calculate (-1 - -1) + 7 - -8*13/(-15). 1/15 (8/84 + (-60)/140)*10/8 -5/12 Calculate ((-155)/(-84))/(-5) - (1080/(-105) - -10). -1/12 Calculate -15*(-14 - 1072/(-80)). 9 What is (-154)/12 + ((55/6)/11 - 0)? -12 (405/(-729))/(-4 + (-68)/8) 2/45 Calculate -3 + -5 + (756/12)/7. 1 (30/(-1530))/(10/(-425)) 5/6 Evaluate (144/112 + -1)*2. 4/7 What is -31 + (864/408 - 10/85)? -29 Evaluate (-528)/2376*6/(-28). 1/21 What is (-150)/200*(240/54 + 0)? -10/3 What is 11 + -14 - ((-45)/72)/(2/12)? 3/4 What is ((675/30)/45)/(11/(-2))? -1/11 Calculate 1*-6 + -1 + -2*45/18. -12 What is (-4*(-72)/(-160))/((-12)/(-180))? -27 What is the value of ((15 - 21) + -4)/1? -10 What is 13/(-312)*-8*(-14 - -1)*-6? 26
{ "pile_set_name": "DM Mathematics" }
28*d**2 Let i(k) be the third derivative of 2*k**4/3 + 3*k**2. Let x(q) be the first derivative of 0*q + 1/3*q**3 + 0*q**2 + 4. What is i(x(v))? 16*v**2 Let i(t) = 15*t**2. Let q(c) = -503*c + 4. Give i(q(y)). 3795135*y**2 - 60360*y + 240 Let o(b) be the first derivative of -4*b**3/3 + 58. Let w(z) = -3*z**2 + 69. What is o(w(y))? -36*y**4 + 1656*y**2 - 19044 Let t(r) = 3*r. Let o(x) = 14*x**2 - 2*x + 2. Let y(l) = 30*l**2 - 5*l + 5. Let m(g) = -5*o(g) + 2*y(g). Give m(t(s)). -90*s**2 Let n(r) = -3*r + 9. Let o be n(7). Let d(y) = -y**2. Let i(b) = 5*b**2. Let g(l) = o*d(l) - 3*i(l). Let z(j) = -j. Determine z(g(t)). 3*t**2 Let j(c) = 4*c**2. Let d(z) = 2*z. Let q = 214 + -120. Let x(p) = q - 94 + 3*p. Let v(r) = -8*d(r) + 5*x(r). Determine j(v(m)). 4*m**2 Let b(k) = 10*k + 2*k + 6*k - 23*k + 6*k. Let s(o) = 6*o. Determine s(b(g)). 6*g Let c = -204 + 305. Let d(k) = 101 - c - 4*k. Let j(q) = -q**2. Give j(d(h)). -16*h**2 Let j(d) = -d. Let b = -27 + 29. Let a(w) = -16*w**b + 15*w**2 - 12*w**2 - 59*w**2. Calculate j(a(l)). 72*l**2 Let w(v) be the second derivative of 7*v**3/6 + 17*v**2/2 - 4*v - 13. Let a(o) = -o. What is a(w(q))? -7*q - 17 Let r(a) = -2*a. Let n be 1/(3 - (-77)/(-26)). Let t(y) = -2 - 1 + 3 - n*y. Calculate r(t(f)). 52*f Let n(s) = s - 3. Let i be n(5). Suppose -3*g - 4*l + 2 = 8, -3*l - 19 = -5*g. Let d(b) = b**i - 2*b**g + 0*b + 0*b. Let o(q) = -5*q. Give d(o(r)). -25*r**2 Let b(c) = 24*c. Let u(v) = -317*v - 11. Give u(b(n)). -7608*n - 11 Let z(w) = 2*w**2. Suppose 5*s - 11*s = 0. Let p(o) be the third derivative of -1/24*o**4 + 0*o + s + 2*o**2 + 0*o**3. Give z(p(v)). 2*v**2 Let r(w) = -5*w - 2. Let f be r(-3). Let z = 13 - f. Let i(v) = v + z*v + 2*v - v. Let j(u) = -2*u. Give i(j(c)). -4*c Let x(p) = -2325*p**2. Let n(d) = 19*d - 2. Determine x(n(z)). -839325*z**2 + 176700*z - 9300 Let h(n) = -n. Suppose -72 = -10*z - 2*z. Suppose 0 = -u - 4*u - 2*c + 32, 2 = 2*c. Let s(l) = z - u + 5*l. What is h(s(t))? -5*t Let u(x) = -17*x - 3. Let i(l) = 4062*l. Give u(i(h)). -69054*h - 3 Let s(d) = -9*d**2. Let x(b) be the first derivative of 13*b**2/2 - 219. Determine x(s(l)). -117*l**2 Let y(h) = 2*h. Let f(q) = -3220752*q. Give f(y(j)). -6441504*j Let c(y) = -5*y**2 + 817*y - 8. Let l(q) = -5*q**2. Give c(l(o)). -125*o**4 - 4085*o**2 - 8 Let z = 128 + -133. Let c(k) = 41*k**2 - 5*k + 5. Let d(r) = r**2 + r - 1. Let y(j) = z*d(j) - c(j). Let a(h) = -h. What is a(y(w))? 46*w**2 Let v(a) = 64*a. Let s(k) = -59*k**2 - 3. Determine s(v(o)). -241664*o**2 - 3 Let z(d) = -d**2. Let f be (7 + -2)*(-1 + 2). Let v = f - 5. Let u(i) = 45 - 45 + 4*i + v*i. Calculate u(z(o)). -4*o**2 Suppose 3 = i + 1. Suppose -i*b = b - 33. Let f(p) = -19 - p**2 + b + 8. Let a(l) = -5*l. What is f(a(x))? -25*x**2 Let a(r) = -2*r**2. Let u(l) = 15 - 7 + 269*l - 8. Calculate a(u(j)). -144722*j**2 Let b(c) be the first derivative of -5/2*c**2 + 4 + 0*c**4 + 0*c**3 + 0*c + 1/6*c**5. Let n(a) be the second derivative of b(a). Let z(l) = l. Give z(n(g)). 10*g**2 Let y be 25 - (-4*2)/(-2). Let g(v) = -y - 6*v + 21 + 2*v. Let p(d) = d**2 + 3 - 3. Calculate p(g(k)). 16*k**2 Let j(f) = 29*f**2 - 21*f. Let b(l) = -5*l. Give j(b(k)). 725*k**2 + 105*k Let o(r) = -23072 + 4*r - 2*r + 23072. Let p(w) = 5*w**2 + 14. Calculate o(p(g)). 10*g**2 + 28 Let t(n) = 18231*n. Let w(v) = -2*v**2. Calculate w(t(c)). -664738722*c**2 Let q(w) be the first derivative of 2 + 14/3*w**3 + 0*w + 0*w**2. Let y(o) = -3*o**2. Calculate q(y(d)). 126*d**4 Let t(g) = -4*g**2. Let f(s) = 78*s + 485. What is f(t(i))? -312*i**2 + 485 Let z(v) = -2*v - 11581. Let c(q) = 25*q**2. Give z(c(w)). -50*w**2 - 11581 Let h(l) = 6*l. Let a = 32/51 - 5/17. Let q(u) be the second derivative of 7*u + a*u**3 + 0 + 0*u**2. Calculate q(h(j)). 12*j Let p(h) = h. Let c(y) be the third derivative of -3/20*y**5 + 0 + 17*y**2 + 0*y**4 + 0*y**3 + 0*y. Calculate c(p(m)). -9*m**2 Let h(b) = 369707*b**2. Let d(x) = x**2. What is h(d(g))? 369707*g**4 Let m(v) = 9*v. Let i(n) = -n**2 - 66126*n. What is m(i(k))? -9*k**2 - 595134*k Let b(r) be the third derivative of 0*r**3 + 0*r + 1/8*r**4 - 2*r**2 + 0. Let n(t) = -2*t. What is n(b(s))? -6*s Let f(a) = 0*a - 31 + 0*a + 31 + a**2. Let k(r) = -12*r - 2. What is k(f(h))? -12*h**2 - 2 Let u(r) = -12*r**2 - r - 7641. Let j(a) = 2*a. Give u(j(f)). -48*f**2 - 2*f - 7641 Let r(z) = 26*z**2. Let j(u) = -5601*u**2. Calculate r(j(b)). 815651226*b**4 Let l(o) = -2*o**2 - 24103*o - 2. Let s(p) = 5*p. Calculate l(s(n)). -50*n**2 - 120515*n - 2 Let k = -1 - -3. Let g(t) = 24 - 24 - t**k. Let y(a) be the second derivative of -5*a**4/12 - a. What is y(g(o))? -5*o**4 Let w(x) be the second derivative of -x**4 + 3*x. Let i(l) = 17*l - l**2 - 12*l - 5*l. What is w(i(f))? -12*f**4 Let t(u) = -59299*u. Let g(z) = 2*z**2. What is g(t(c))? 7032742802*c**2 Let a(g) = 3363*g**2. Let y(c) = 579*c**2. What is a(y(w))? 1127415483*w**4 Let d(m) = m. Let p(t) be the first derivative of 0*t**4 + 0*t**3 + 4*t**2 - 8/15*t**5 + 0*t - 4. Let h(b) be the second derivative of p(b). Give d(h(i)). -32*i**2 Let y(f) be the second derivative of -3*f**4/4 + 184*f. Let l(v) be the third derivative of -v**4/12 + 2*v**2. Give l(y(a)). 18*a**2 Let k(g) = 3 - 3 + 89*g + 42*g + 1 - 181*g. Let f(q) = 3*q**2. Determine k(f(w)). -150*w**2 + 1 Let c(s) = 163269*s. Let x(f) = -f**2. Calculate c(x(u)). -163269*u**2 Let a(l) = -1 - 9*l**2 + 1. Let r(c) = -103*c**2 - 35*c + 45*c**2 + 55*c**2 + 35*c. Calculate r(a(h)). -243*h**4 Let i be (-16)/(-9) - 4/(-18). Let y(x) = -2*x**2 + 2*x - i*x. Let d(j) = 7*j**2 - 2*j. Let c(l) = 36*l**2 - 11*l. Let q(f) = 2*c(f) - 11*d(f). What is q(y(g))? -20*g**4 Let c(q) = -143*q**2. Let j(y) = -2*y**2 - 33*y**2 + 34*y**2. Calculate j(c(l)). -20449*l**4 Let t(n) = -359*n + 12*n**2 + 3*n**2 + 359*n - 3*n**2. Let x(y) = -7*y. What is x(t(d))? -84*d**2 Let y(w) = -3*w + 9*w - 3*w - 5*w. Let g(f) = -f + 23. Determine y(g(b)). 2*b - 46 Let b(l) = 30*l + 6. Let g(q) = 8*q. Give b(g(s)). 240*s + 6 Let m(n) = -n**2. Let d(u) = -18511*u**2 + 1070*u. Let l(b) = 104*b**2 - 6*b. Let v(h) = -6*d(h) - 1070*l(h). Determine v(m(t)). -214*t**4 Suppose 4*o - 783 - 45 = 0. Let v(r) = 207*r + r**2 - o*r. Let h(q) be the first derivative of 5*q**2/2 + 5. What is h(v(u))? 5*u**2 Let f(x) = 9*x + 6. Let t(s) = -2*s - 58. Give t(f(l)). -18*l - 70 Let n(t) = -3*t. Let z be ((-1)/2 - 147/42) + 4. Let p(k) be the third derivative of 0*k**3 + 0*k + 1/8*k**4 + z + 2*k**2. What is p(n(v))? -9*v Let g(s) = -151604 + s**2 + 151604. Let x(d) = -6*d - 16. Let h(z) = 2*z + 5. Let y(k) = 16*h(k) + 5*x(k). Give g(y(n)). 4*n**2 Let i(y) = 4*y**2 + 707. Let u(q) = 4*q. What is u(i(o))? 16*o**2 + 2828 Let q(y) = -46*y + 29*y + 13*y. Let z(x) = -22*x + 2. Give q(z(k)). 88*k - 8 Let i(b) = -b**2 - 13*b + 12. Let t be i(-13). Let a be 40/(-15)*(-27)/t. Let r(f) = a*f + f**2 - 6*f. Let j(k) = -4*k**2. Calculate j(r(c)). -4*c**4 Let c(b) = 7*b**2 + 11*b**2 - 2*b**2 - 12*b**2. Let s(a) = -35*a**2. Determine c(s(i)). 4900*i**4 Let g(x) = 44*x**2. Let k(w) = 7*w**2 - 153*w. Calculate k(g(r)). 13552*r**4 - 6732*r**2 Let u(x) = -484609*x. Let r(c) = 7*c. Determine u(r(o)). -3392263*o Let m(i) = -2*i**2. Let o be 4/(-18) + (-40)/(-18). Let p(q) = q + 2. Let b(v) = -9 - 6 + 4 + 95*v - 99*v. Let w(s) = o*b(s) + 11*p(s). Give w(m(r)). -6*r**2 Let h(a) = -1185*a**3 + 3*a**2 + 2*a + 1. Let z be h(-2). Let b(f) = -z - 2*f + 9489. Let k(g) = -34*g**2 + 2. Give b(k(m)). 68*m**2 - 4 Let u(d) = -3*d**2 - 6*d**2 + 3*d**2. Let n(i) = 66*i - 18*i - 20*i - 12*i - 18*i. Determine u(n(p)). -24*p**2 Let u(c) be the first derivative of -c**3/3 - 3594. Let y(h) = -2*h + 2*h - 43*h**2. Determine u(y(a)). -1849*a**4 Let o(q) = -4*q**2 + 6*q**2 - 3*q**2. Let t(u) = 4*u - 10. Let w be t(3). Let r(c) = -3 - w*c + 2 + 1. Give o(r(k)). -4*k**2 Let o(c) = 4*c**2 - 1. Let g(l) = -10*l - 53. What is g(o(x))? -40*x**2 - 43 Let y(f) = f. Let k(m) be the first derivative of 26 + 0*m**2 + 0*m - 1/3*m**3. Give k(y(c)). -c**2 Let a(x) be the first derivative of 8*x**3/3 - 1. Let p(g) be the second derivative of g**4/12 - 26*g + 1. What is p(a(j))? 64*j**4 Let c = 5 - 3. Suppose c*l = 2*a + 8, 5*l + a - 36 = 2*a. Let q(x) = -l*x - 6*x + 11*x. Let v(d) = -4*d. Calculate q(v(m)). 12*m
{ "pile_set_name": "DM Mathematics" }
f q? 2, 3, 11 Let u = 2188 - 909. What are the prime factors of u? 1279 Suppose -2*j - 5*g - 28 = -3*j, 0 = j + 2*g + 7. Suppose -5*l - b = -39 - 3, -j*b = 3*l - 18. What are the prime factors of l? 3 Suppose 0 = -3*r - h + 3069, 4*h + 1040 + 1006 = 2*r. Suppose 0 = -4*w - 3*q + r, 741 = -8*w + 11*w - 3*q. What are the prime factors of w? 2, 3, 7 Let a(v) = 35*v**2 + 19*v + 85. What are the prime factors of a(-12)? 59, 83 Let v be (9/(-6))/((-6)/(-32)). List the prime factors of 7 + 4/8*v + 254. 257 List the prime factors of -1 + (-4)/(-6) + (-9709)/(-21). 2, 3, 7, 11 Suppose 2*w + 5*o = 11 - 10, -4*w = 4*o + 28. Let k = 87 - w. What are the prime factors of k? 3, 11 Let u(p) = 51*p + 20. Let k be u(-4). Let t = 317 + k. What are the prime factors of t? 7, 19 What are the prime factors of 3/(-21) - (-158652)/126? 1259 Let x(f) = -f**3 + 7*f**2 + 5*f - 1. Let r be x(6). Suppose 5*a = 5*v - 20, 8*a + 4*v + r = 3*a. Let q = 20 + a. List the prime factors of q. 11 Suppose -2*v = -0*v - 10. Suppose -3*p - 354 = -v*b, -b + 26 = 5*p - 28. What are the prime factors of b? 3, 23 What are the prime factors of 16/(-168) + (-5928)/(-63)? 2, 47 Let v = 19 + -19. Suppose -4*r - r + 945 = v. List the prime factors of r. 3, 7 Let l(u) = 3*u - 3. Let x be l(2). Let t be 5/3 - x/(-9). Suppose -5*f = -15, 5*f - 11 = g + t. What are the prime factors of g? 2 Let b(p) = p + 16. Let i be b(-13). Let r be 11/i + (-2)/3. What are the prime factors of ((-18)/21)/(r/(-21))? 2, 3 Let y = 37 - 35. Suppose -5*t = -4*t - y. What are the prime factors of t? 2 List the prime factors of (-176)/(-33)*(1164/8 - 3). 2, 5, 19 Let a(z) = 541*z + 8. List the prime factors of a(6). 2, 1627 Suppose 3*q + 0*w = -2*w + 22, 3*q - 2*w - 2 = 0. What are the prime factors of (-150)/q*18/(-15)? 3, 5 Let w = 46 + 38. Suppose 10*r - 14*r + w = 0. What are the prime factors of r? 3, 7 Suppose -12*b = -8*b. What are the prime factors of 14 + (-4 - (b + 0))? 2, 5 Let w(h) = h**3 - 3*h**2 + 2*h. Let n(v) = 4*v - 17. Let f be n(5). Let o be w(f). What are the prime factors of (9 - o)/(2/26)? 3, 13 Suppose 0 = w - r + 6*r - 12, 4*w - 3*r = 2. Suppose -w*c = 3 - 23. List the prime factors of c. 2, 5 Suppose -s - 5*t - 391 = -1012, 3*s + 2*t - 1902 = 0. What are the prime factors of s? 2, 3, 53 Let b = 73 + -11. Suppose 5*i = -b + 372. List the prime factors of i. 2, 31 Let q(w) = -w**2 - 1. Let z(j) = 9*j**2 - 11*j + 13. Let u(i) = 3*q(i) + z(i). List the prime factors of u(5). 3, 5, 7 Let b(v) = -8*v - 22. Suppose -4*f - 11 = 29. List the prime factors of b(f). 2, 29 Let l(z) = -27*z + 19. Let o be l(5). Let m = -55 - o. List the prime factors of m. 61 Suppose -2 = -3*s + s. Let c = -13 - -4. List the prime factors of (-3 - c) + s*3. 3 Suppose -s + 74 = 4*n - 2*n, 2*n + 3*s = 74. Suppose -35*d = -n*d + 204. List the prime factors of d. 2, 3, 17 Suppose -x + 468 = w + 3*x, 5*w - 4*x - 2268 = 0. Suppose 2*m + d = -2*d + w, -2*d = 5*m - 1118. List the prime factors of m. 2, 3, 37 Let q(i) = -2*i - 4. Let v be q(-4). Suppose -v*l + 430 = l. Suppose -3*u + l = 23. What are the prime factors of u? 3, 7 Suppose -5*k + 212 = -k. Let d = -47 + k. List the prime factors of d. 2, 3 Suppose 2*b - 16 = b - 2*w, 5*b - 5*w - 110 = 0. Let f = -17 + b. Let a(v) = 2*v**2 - 2. What are the prime factors of a(f)? 2 List the prime factors of 22/154 + (-9783)/(-21). 2, 233 Let g(o) = 7*o**2 + 7*o - 5. Let c be g(10). Suppose 0 = 5*w - 4*a + 1078, -3*w = 2*a + c - 127. List the prime factors of w/(-10) - (-6)/(-15). 3, 7 Let l(k) = k**3 - 12*k**2 - 11*k + 13. Let v be l(6). Let t = v + 156. List the prime factors of t/(-4) - 1/4. 2, 7 Suppose -2*h - 10 = -2, 5*a + 14 = -h. What are the prime factors of -48*6*a/4? 2, 3 Suppose 10*i = -2001 + 15711. List the prime factors of i. 3, 457 Let j = 0 + -2. Let b(l) = 30*l**2 + l + 4. What are the prime factors of b(j)? 2, 61 Suppose k = -2*k + 417. Let c = -94 + k. List the prime factors of c. 3, 5 Suppose 0 = 2*o - 1 - 1. Let w = -46 - o. Let l = -24 - w. What are the prime factors of l? 23 Let i(h) = 76*h - 113. List the prime factors of i(4). 191 Let j be 8/(-16) - ((-7)/2 - 1). Suppose 5*d - j*g - 655 = 0, -25 = -g - 4*g. What are the prime factors of d? 3, 5 Suppose -2*t - 18 = -5*i - 54, t - 12 = i. What are the prime factors of (378/t)/(-9)*-56? 2, 3, 7 Let x(l) = l**2 - 5*l + 22. Suppose -f = -4*s - 23, f - s - 20 = 2*s. What are the prime factors of x(f)? 2, 11 Let s = -440 + 201. Let p = -171 - s. List the prime factors of p. 2, 17 Let v = -1314 - -2301. List the prime factors of v. 3, 7, 47 Suppose -i + 2*i + 4 = 0. Let u(n) = -n**2 - 9*n + 2. What are the prime factors of u(i)? 2, 11 Suppose 0 = -4*z - 0*i - 2*i + 4, 0 = z + i - 2. Let s = -52 - -43. Let h = z - s. What are the prime factors of h? 3 Let x(c) = -2*c - 1. Let v be x(-3). Suppose -3*f - 2*f + 45 = 5*h, -4*f = -2*h + 12. Suppose b + v - h = 0. List the prime factors of b. 3 Let r(v) = -v**2 + 5*v - 2. Let a(y) = y**2 - y. Let n be a(3). Suppose -5*g + j = -22, -g + n*g - 10 = -5*j. What are the prime factors of r(g)? 2 List the prime factors of (-9)/(-27) - 508/(-6). 5, 17 List the prime factors of (-12)/(4232/1060 - 4). 2, 3, 5, 53 Suppose -3*z - 7 = -43. Let s = z + 63. What are the prime factors of s? 3, 5 Let u be (5 - 2)/(2/2). Let m(h) = -3 - 2*h**2 + 2*h - h - u*h + h**3. List the prime factors of m(4). 3, 7 Suppose -2444*f = -2452*f + 13496. What are the prime factors of f? 7, 241 What are the prime factors of 2/4 - (-174048)/64? 2, 5, 17 Suppose 0 = -100*w + 20*w + 77120. What are the prime factors of w? 2, 241 Let y(h) = 4*h + 3. Let f(x) = 32*x + 23. Let w(p) = 6*f(p) - 51*y(p). List the prime factors of w(-3). 3, 7 Let x be -332 + -2 - 2 - 0. What are the prime factors of x/(-3) + -2*(2 - 1)? 2, 5, 11 Let w(s) = 23*s**2 + 5*s + 5. Let b be ((-8)/10 - 0)/((-2)/(-5)). What are the prime factors of w(b)? 3, 29 What are the prime factors of (-4092)/(-20) + 1/(5/2)? 5, 41 Let r = 1314 - -1140. List the prime factors of r. 2, 3, 409 Suppose 4*f - f = -18. Let y = f + 8. Suppose 0 = 4*c + x - 205, 2*c - 190 = -2*c + y*x. What are the prime factors of c? 2, 5 Suppose 0 = 5*a + 3*f - 10, -3*a + 6 = -0*f - 3*f. Suppose 5*s = a*s - 15. Let y(l) = -l**3 - 2*l**2 + 8*l + 6. What are the prime factors of y(s)? 41 Let r(g) = -9*g - 6. Let y be r(-2). Let n = 8 - y. List the prime factors of (-148)/(-4) + n + 0. 3, 11 Let c(u) = 14*u + 9. Let g(a) = -29*a - 18. Let v(r) = 7*c(r) + 3*g(r). List the prime factors of v(7). 2, 43 List the prime factors of 57929/159 - (-2)/(-6). 2, 7, 13 Let f be (-7239)/(-6) + 6/(-12). Suppose f = -0*v + 4*v - 3*p, -2*v - 5*p + 616 = 0. What are the prime factors of v? 3, 101 Suppose -4*v - 4 = 4*w, 2*v + 29 = 3*w - 3*v. Suppose -5*x - 3*o + 195 = 2*o, 0 = w*o. Suppose -2*g = -x - 35. List the prime factors of g. 37 Suppose -b + 4*d + 720 = 0, -3*b + d = -2605 + 467. List the prime factors of b. 2, 89 Let h be (45/(-2))/(9/(-90)). Let u = -141 + h. What are the prime factors of u? 2, 3, 7 Let f be (-2)/(-1 + 0/2) + -2. List the prime factors of 104 - (-2 + f)/2. 3, 5, 7 Let z = 30 - 27. Suppose -4*f = x - 34 - 45, z*f = x + 61. What are the prime factors of f? 2, 5 Suppose -d + 4*z = -1061, -4*d + 0*d + 4339 = 3*z. List the prime factors of d. 23, 47 Let h(s) = s + 7. Let t = -13 - -10. Let c be h(t). Suppose -y = 2, -3*y + c*y = -4*n + 54. List the prime factors of n. 2, 7 Let z(t) = -12*t**3 - 8*t**2 - 15*t - 7. What are the prime factors of z(-4)? 3, 7, 11 Suppose 4464*c + 1975 = 4465*c. List the prime factors of c. 5, 79 Suppose -2*y - 250 = -694. Suppose -2*b + h = -247, -3*h + 7*h - y = -2*b. List the prime factors of b. 11 Suppose 4*t + 23 = -13. Let m be t/1 - (-22)/11. List the prime factors of 2*m/(-2) + 1. 2 Let r(v) = 62*v - 12. Let g be r(5). Let w = -162 + g. Suppose 3*q - 4*l - 133 = 0, 4*q + 3*l + 2*l - w = 0. List the prime factors of q. 3, 13 Let x = 269 - -69. Let y = -318 + 294. List the prime factors of (-16)/y - x/(-6). 3, 19 Suppose y - 7 = -1. Suppose -24 = 2*x - y*x. Suppose -x*o + o = -200. What are the prime factors of o? 2, 5 Suppose -4*a - a = -20. Suppose -a*d - d + 155 = 0. What are the prime factors of d? 31 Let h(l) be the second derivative
{ "pile_set_name": "DM Mathematics" }
ermine z(p(d)). -3*d**2 Let o(d) = 11*d**2 + 6*d. Let x(j) = -100*j**2 - 55*j. Let i(z) = -55*o(z) - 6*x(z). Let m(q) = -3*q**2. What is i(m(r))? -45*r**4 Let l(x) be the second derivative of -5*x**3/6 - 5*x. Let y(w) = -w**3 + 9*w**2 - w + 11. Let g be y(9). Let p(b) = 2 + 11*b**2 - 2 - 13*b**g. What is l(p(k))? 10*k**2 Let g(n) = -6*n + 12. Let o(j) = -j. What is o(g(p))? 6*p - 12 Let i(z) = -2*z**2 - 89*z + 89*z. Let s(c) = -c. Calculate s(i(q)). 2*q**2 Let u(p) = -p**2 - 2*p + 4. Suppose 14 = -5*q - 1. Let b be u(q). Let v(x) = -b + x + 1. Let a(f) = f**2. Calculate a(v(y)). y**2 Let l(s) = s. Let r(d) = -d + 5. Let j be r(0). Suppose -j*q - 1 = 3*z, 5*z - 2*q = 8 + 11. Let f(y) = 3*y**2 + 3*y - z*y. Calculate f(l(c)). 3*c**2 Let k(y) be the third derivative of -y**4/4 + 2*y**2. Let s(b) = 3*b**2. Calculate s(k(g)). 108*g**2 Let y be 1 + -3 - (-11 + 7). Let v(f) = -2*f**2 + 2*f**y - 3*f**2 + 2*f**2. Let n(u) = u**2. What is v(n(a))? -a**4 Let b(a) = 5*a. Let t(d) = d. Let h(c) = -c**2 + c + 2. Let m(y) = -3*y**2 + y + 5. Let r(z) = 5*h(z) - 2*m(z). Let w(l) = r(l) - 3*t(l). What is w(b(i))? 25*i**2 Let b(u) = -15*u**2. Let c(p) be the third derivative of p**4/12 + 3*p**2. What is c(b(z))? -30*z**2 Let o(j) = -j. Let r(h) be the second derivative of h**4/4 - 11*h. Determine o(r(u)). -3*u**2 Let u(m) = m**2. Let f(c) = 12*c**2 + 3*c. Let s(k) = -13*k**2 - 2*k. Let t(o) = 2*f(o) + 3*s(o). Give t(u(i)). -15*i**4 Let r(n) = -62*n + 7. Let m(s) = s. Calculate m(r(x)). -62*x + 7 Let t(q) = 2*q**2. Suppose -3*x - k - 5 = -5*x, 2*k - 2 = 0. Suppose 4*z + 5*m - 33 = 0, -3*z + 7 = -2*z + m. Let c(w) = -w**2 + x*w**2 - w**z. Give c(t(r)). 4*r**4 Let u(z) = -z. Let f(b) = 2*b + 3*b**2 + b - 3*b. Give f(u(v)). 3*v**2 Let n(c) = 3*c**2 - 4*c + 2. Let m be n(2). Let r(j) = 5 - 4 - 1 - m*j. Let d(v) = -2*v. What is r(d(z))? 12*z Let x(u) be the third derivative of u**4/8 - 7*u**2. Let s(m) = -m - m + 4*m. What is x(s(z))? 6*z Let k(d) = -9*d. Suppose 2*i + i - 15 = 0. Let h(r) = 14*r. Let y(f) = i*h(f) + 8*k(f). Let b(a) = -2*a**2. Calculate y(b(p)). 4*p**2 Let f(s) = -s**3 + 4. Let d be f(0). Let i(c) = -4*c**2 + d*c**2 - c**2. Let u(j) = 17*j. Calculate i(u(x)). -289*x**2 Let p(q) = 17*q**2 - 24. Let v(c) = 2*c. Calculate v(p(t)). 34*t**2 - 48 Let s(m) = -6*m**2 - 4*m. Let r(a) = 11*a**2. What is r(s(l))? 396*l**4 + 528*l**3 + 176*l**2 Let b(o) = -2*o + 10. Let m(g) = -1. Let q(z) = b(z) + 10*m(z). Let w(y) = -13*y - 13*y + 25*y. Calculate q(w(r)). 2*r Let s(w) = w**2. Let q(g) = 4*g**2 + 8*g. Calculate q(s(d)). 4*d**4 + 8*d**2 Let y(z) = 138*z. Let o(k) = -18*k**2. Determine y(o(u)). -2484*u**2 Let s(o) be the first derivative of -10*o**3/3 - 3. Let h(x) = x**2. What is h(s(a))? 100*a**4 Let i(x) = x**3 + x**2 + 2*x - 2. Let s be i(1). Let p(l) = -4*l**s + 5*l**2 - 5*l**2. Let y(d) = 5*d**2. Give y(p(f)). 80*f**4 Let u(q) = -2*q. Let x(b) = -6*b. Let n(o) = -5*o. Let a(d) = -7*n(d) + 6*x(d). What is u(a(z))? 2*z Let g(q) = 2*q + 9. Let a(z) = -21*z**2. What is a(g(m))? -84*m**2 - 756*m - 1701 Let w(i) = -3*i**2. Let x(a) = -6214*a**2. Give x(w(m)). -55926*m**4 Let r(b) = -5*b. Let z(i) = -85*i. Let p(o) = 35*r(o) - 2*z(o). Let j(q) = -q + 1. Let w(t) = -7*t + 6. Let n(x) = -6*j(x) + w(x). Give n(p(a)). 5*a Let z(t) = -2*t. Let b(j) = 3*j**2. Let x(g) = 2*g**2. Let f(o) = 4*b(o) - 5*x(o). Give z(f(k)). -4*k**2 Let u(q) = -4*q + 4*q - 2*q. Let f(g) be the second derivative of -g**6/360 - g**4/12 + g. Let d(k) be the third derivative of f(k). What is u(d(v))? 4*v Let y(k) = k. Let a(f) = 8*f - 24*f + 20*f. Give a(y(q)). 4*q Let w(q) = -27*q. Let y(d) = -5*d**2 + 3*d + 3. Let p(a) = -4*a**2 + 2*a + 2. Let m(o) = -3*p(o) + 2*y(o). Give w(m(r)). -54*r**2 Let l(j) = 15*j + 11. Let u(r) = 2*r + 0 - 2 - 6*r + r. Let b(h) = 2*l(h) + 11*u(h). Let a(t) = -2*t**2. Calculate b(a(g)). 6*g**2 Let z be ((-6)/21)/((-7)/49). Let c(b) = 2*b - z + 2. Let w(j) = 13*j. What is c(w(v))? 26*v Let t(g) = -12*g**2 - 3*g. Let x(f) = -2*f**2. Calculate x(t(r)). -288*r**4 - 144*r**3 - 18*r**2 Let a(u) = -11645 + 11645 + u. Let f(j) = 0 - j**2 + 0. Give f(a(s)). -s**2 Let m(a) = 2*a - 2. Let c(z) = -171*z**2. Give m(c(w)). -342*w**2 - 2 Let h(u) = -5*u. Suppose -6*w + 4*w + 4*r + 2 = 0, 4*r - 19 = -5*w. Let s(l) = w*l - 3*l + l. Give s(h(b)). -5*b Let a(h) be the first derivative of 2*h**3/3 - 2. Let z(r) = r. What is a(z(y))? 2*y**2 Let w(z) = -8*z - z + 11*z. Let x(r) = -2*r**2. Give w(x(k)). -4*k**2 Let w(x) = 5*x**2. Let r(z) be the first derivative of -2*z**3/3 + 7. What is r(w(s))? -50*s**4 Suppose d + 4*d = 10. Let k(n) = n**2 + d*n**2 - n**2. Let l(h) be the third derivative of -5*h**4/24 - 23*h**2. Calculate k(l(s)). 50*s**2 Let w(a) = 13*a. Let l(x) = -2*x**2 + 122. What is w(l(t))? -26*t**2 + 1586 Suppose -2*m = -4*m. Suppose m*s - 15 = -3*s. Let l(h) = -s - 4*h + 0 + 5. Let n(c) = 2*c. Determine n(l(w)). -8*w Let p(g) = -5*g. Let c(q) = 15*q. Let u(o) = 5*o. Let s(j) = 6*c(j) - 17*u(j). Let i(y) = 5*p(y) + 6*s(y). Let h(v) = 2*v. Determine i(h(f)). 10*f Let d(b) = -6*b + 2. Let v(c) = -c + 1. Let o = 5 - 7. Let p(z) = o*v(z) + d(z). Let q(a) = 3*a. Give p(q(u)). -12*u Let w(r) = 2*r**2. Let f be 14/(-35) - (-17)/5. Let y(q) = 0 - 2 + 2 - f*q**2. Determine y(w(v)). -12*v**4 Let w(n) = -n. Let z(d) = 2*d + 28. Calculate w(z(a)). -2*a - 28 Let d(o) = -2*o**2. Suppose -1 = -2*w + 3. Let q(p) = w*p**2 + 2 - 2. Give q(d(m)). 8*m**4 Let k(j) = -12*j. Let w(h) be the third derivative of -h**5/30 + 9*h**2. Give k(w(y)). 24*y**2 Let n(g) = 46*g. Let x(o) = -9*o**2 - 2. Determine n(x(y)). -414*y**2 - 92 Let d(f) = 15*f**2. Let n(t) = -t + 1. Let l(p) = 8*p - 6. Let c(z) = -l(z) - 6*n(z). Determine d(c(k)). 60*k**2 Let s(g) = 2*g**2. Let n(c) = -2*c**2 - 41*c. What is s(n(r))? 8*r**4 + 328*r**3 + 3362*r**2 Let c(a) be the second derivative of a**4/6 + 17*a. Let o(r) = -r. Calculate c(o(l)). 2*l**2 Let k(l) = 2*l. Let s(f) = -2*f + 3950. Give k(s(j)). -4*j + 7900 Let f(p) = 4*p**2. Let c be -4*1/(-8)*2. Let k(y) = y**2 + 4 - c - 3. Give f(k(z)). 4*z**4 Let y be (14/(-84) - 14/(-12))*0. Let q(s) be the second derivative of y - 1/2*s**3 + 3*s + 0*s**2. Let h(x) = -x. Calculate h(q(u)). 3*u Let v(t) = 2*t**2. Suppose -7*y + 20 = -2*y. Let z(w) = -y*w - 2*w**2 + 10*w**2 + 4*w. Give v(z(n)). 128*n**4 Let s(a) be the first derivative of -2*a**3/3 - 1. Let j(x) be the second derivative of 1/3*x**3 + 3*x + 0*x**2 + 0. Determine s(j(y)). -8*y**2 Suppose -4*s = -8, 2*p - 2*s = -4*s + 4. Suppose -2*x + 34 = -p*x - l, -4*x = 5*l - 40. Let i(u) = -3*u - 15 + x. Let h(q) = -2*q**2. Give i(h(o)). 6*o**2 Let p(y) = 5*y**2 - 5. Let v(w) = 3*w**2. What is v(p(k))? 75*k**4 - 150*k**2 + 75 Suppose -4*w + 6 + 42 = 0. Let i = -7 + w. Let p(b) = -i*b**2 + 3*b**2 + 0*b**2 + 0*b**2. Let a(f) = 3*f. What is a(p(y))? -6*y**2 Let y(i) = -2*i - 273. Let g(a) = -12*a. What is g(y(v))? 24*v + 3276 Let n(y) = y**2 + 7*y. Let a be n(-7). Let q(x) = x + a*x + x + 0*x. Let l(d) = d. Give l(q(z)). 2*z Let g(o) = 182*o. Let b(k) = -23*k. What is b(g(c))? -4186*c Let u(a) = -22*a**2. Let p(j) = -27*j**2. What is p(u(y))? -13068*y**4 Let i(q) be the first derivative of -q**3/3 + 14. Let m(f) = -47*f**2. What is m(i(g))? -47*g**4 Let c(l) = -2*l + 21 - 42 + 21. Let p(u) be the first derivative of -u**2/2 - 1. What is p(c(j))? 2*j Let a(l) = -795*l**2. Let p(j) = -2*j. What is a(p(u))? -3180*u**2 Let m(v) = -3*v + 6*v - 3*v - v. Let j(t) = -5*t**2. What is j(m(y))? -5*y**2 Let v(d) = 358*d. Let r(o) = 4*o**2. What is v(r(j))? 1432*j**2 Let g(p) = -p. Let a(b) = -453*b**2. Determine a(g(m)). -453*m**2 Let y(r) = r. Let n(m) = 2*m**2 - m**2 - 3*m**2. Determine n(y(t)). -2*t**2 Let m(v) = -v**2. Let a(t) = 27*t + 10. Determine m(a(n)). -729*n**2 - 540*n - 100 Let k(w) = -14*w - 17. Let s(t) = 5*t. Let z(o) = 10*o + 1. Let g(a) = -11*s(a) + 6*z(a). Let d(n) = -17*g(n) - 6*k(n). Let h(y) = 3*y**2. What is d(h(u))? -3*u**2 Let y be -1*(0 + 1 + -1). Suppose y = h - 2*h. Let z(l) = h*l + 0*l + 2*l. Let k(s) = -s**2. Calculate k(z(i)). -4*i**2 Let s(l) = -19*l**2 + 6*l. Let z(c) = 37*c**2 - 11*c. Let y(t) = -11*s(t) - 6*z(t). Let m(v) = -v. Let f(q) = -q. Let w(d) = -6*f(d) + 7*m(d). What is y(w(n))? -13*n**2 Let q(k) = 5*k**2.
{ "pile_set_name": "DM Mathematics" }
ecimal places? 0.000004 Let o(q) = -7625*q**2 + 1. Let u be o(-3). Let p be (4 - -24)/((-2)/(-116)). Let m = u + p. What is m rounded to the nearest ten thousand? -70000 Let m = -0.006 + 30.006. Let k = m + 48. Let z = -77.906 + k. What is z rounded to 2 decimal places? 0.09 Let t(a) = 162846*a. Suppose 10 = -w - w. Let n be t(w). Let x = -274230 - n. Round x to the nearest 100000. 500000 Suppose 0 = 8*z - 7*z + 430000. What is z rounded to the nearest 100000? -400000 Let x = 0.04 - 0.13. Let j = x - -0.09000014. What is j rounded to 7 decimal places? 0.0000001 Suppose 5*s - 1430 = 3*o, 8 = 4*s - 8. What is o rounded to the nearest 100? -500 Let z(c) = 6*c**3 - 9*c**2 + 16*c - 48. Let b be z(-14). Round b to the nearest 1000. -19000 Let v = 1.11 + -1.11053. Round v to four decimal places. -0.0005 Let c = 172 + -75. Let h = 0.149 - 87.449. Let n = c + h. What is n rounded to the nearest integer? 10 Let k = 32.4 - -242.6. Let v = k + -275.4005. Let i = v + 0.4. What is i rounded to three dps? -0.001 Let z = 207.9863 - 208. What is z rounded to 3 dps? -0.014 Let o = 3694977 + -3695669.97985. Let h = 693 + o. Let g = -0.02 + h. Round g to 4 decimal places. 0.0002 Let k = 39 + -51.5. Round k to the nearest integer. -13 Let c = 62 - 44. Let n = c + -18.00000028. What is n rounded to 7 decimal places? -0.0000003 Let c = 79.933 - -0.067. Let s = 80.0094 - c. Round s to 3 dps. 0.009 Let j = -14.00003 + 14. What is j rounded to 5 dps? -0.00003 Let a = 223.0000093 - 223. Round a to 6 dps. 0.000009 Let j(d) = -1094*d + 2. Let w be j(-4). Let b = 255378 - w. What is b rounded to the nearest 10000? 250000 Suppose 5*v - 41635 = 41365. Round v to the nearest 1000. 17000 Let x = -51.3 + 46. Let b = 101259.90029 - 101265.2. Let z = x - b. What is z rounded to 4 decimal places? -0.0003 Let a = -7.617 + 7.2251. Let p = 6.6 + -6.21. Let u = a + p. Round u to three decimal places. -0.002 Let c = -373712.99998 + 373707. Let z = -0.4 - -6.4. Let i = c + z. What is i rounded to four dps? 0 Let j = 4611.381 - 4604. Let u = j + -7.3. Let h = u - -0.579. What is h rounded to one dp? 0.7 Let d = -3.1 + 3. Let k = d - -1.1. Let g = k - 0.7. Round g to the nearest integer. 0 Let r(g) = 2*g**3 - 5*g**2 - g - 14. Let p be r(-6). What is p rounded to the nearest one thousand? -1000 Let i be (-4 + 1)/(15/(-25)). Suppose 3*w = i*u - 11, 5*w = -5*u + 34 + 1. Let h be w - (8100001 - (-2 + 0)). What is h rounded to the nearest one million? -8000000 Let t = -61 - -61.0194. What is t rounded to three dps? 0.019 Let r be -6*((-18)/(-2))/(-3). What is r rounded to the nearest ten? 20 Let r = 94 + -94.00304. What is r rounded to 4 decimal places? -0.003 Let y = -0.1161 - 84.1839. What is y rounded to the nearest integer? -84 Let k = -442530709 - -237314911. Let r = k + 205215758.99999885. Let b = r - -39. Round b to 7 dps. -0.0000012 Let x = 81.1 + -89.84. Let n = x - -9. What is n rounded to 1 decimal place? 0.3 Let o = 23.999988 - 24. Round o to 6 dps. -0.000012 Let o(g) = -44235*g**3 + 2*g + 1. Let l be o(-1). Suppose -s = 111753 + 714013. Let c = l - s. What is c rounded to the nearest 100000? 900000 Let k = 0.33 + 19.67. Let r = k + -12. Let y = r + -7.952. What is y rounded to 2 decimal places? 0.05 Suppose -4 = p - 0*p. Let t(j) = 79*j**3 + 4*j**2 + j - 4. Let k be t(p). What is k rounded to the nearest 10000? -10000 Let n = -1097.882102 + 1098.792. Let u = n + -0.91. What is u rounded to five dps? -0.0001 Suppose 3*n + 1996590 = -3*r, n + 2*n - 4*r = -1996590. Let f = 2265530 + n. Round f to the nearest one million. 2000000 Let f(c) = -3*c**2 + 1. Let o(p) = p - 3. Let t(s) = -3*s + 10. Let m(j) = -11*o(j) - 4*t(j). Let y be m(4). Let i be f(y). Round i to the nearest 10. -30 Let x = 18.1544 + -16.95. Let q = -6.2 - -5. Let h = q + x. What is h rounded to 3 decimal places? 0.004 Let o = -66127 - -21418. Let f be (o + 0 - -2)/(-1). Suppose -3293 = -3*v + f. What is v rounded to the nearest 10000? 20000 Let u(j) = -3*j**2 - 2*j + 2. Let f be u(4). Round f to the nearest ten. -50 Suppose 3*d - 3*u = -0*u + 162, -2*u - 165 = -3*d. Let k = -4 + d. What is k rounded to the nearest ten? 50 Let d = -82570.5 - -82607.5079. Let p = -37 + d. Round p to three dps. 0.008 Let n(x) = -344*x**2 - 15*x - 9. Let z(l) = -172*l**2 - 7*l - 4. Let y(o) = 6*n(o) - 13*z(o). Let i be y(1). Round i to the nearest 10. 170 Let b = -201.8630685 - -20.8629375. Let r = 181 + b. Round r to 5 decimal places. -0.00013 Let g = -441.18 + 3.18. Let b = g + 384.6. Let u = b + 47. Round u to zero decimal places. -6 Let a = 5571868.4 + -5571861.3999858. Let c = a + -7. What is c rounded to 6 decimal places? 0.000014 Let t be (-2)/(-12) + (-6349)/42. What is t rounded to the nearest ten? -150 Let b(z) = -3*z**3 - 2*z + 1. Let p be b(-2). Suppose 0 = 2*q - p - 3771. Round q to the nearest 1000. 2000 Let s = -0.6 - -4.6. Let p = 4.00012 - s. What is p rounded to five dps? 0.00012 Let s = 123 - 172. What is s rounded to the nearest 10? -50 Let n = -0.3699997 + 0.37. What is n rounded to 6 dps? 0 Let m = -143 + 142.999535. What is m rounded to 5 decimal places? -0.00047 Let w = 1319 + -1330.01. Let b = w + 0.01. Let j = -10.968 - b. Round j to two decimal places. 0.03 Let w = 10.3487 - -0.0013. Let h = -10.81 + -0.19. Let y = h + w. Round y to 1 decimal place. -0.7 Suppose -w - z - 5 = 1, 0 = -5*w - z - 14. Let q be ((-8)/w - 3)*3. Suppose 0 = q*j - 5*j - 600000. Round j to the nearest one hundred thousand. -300000 Let w(i) = 128*i**2 - i. Let j be w(-1). Suppose j = 2*f - k, 3*f - 2*f - 5*k - 69 = 0. Round f to the nearest 10. 60 Let m be -1 - -79 - (-6 - -2). Round m to the nearest ten. 80 Suppose -2*b + 32200 = 5*b. What is b rounded to the nearest one hundred? 4600 Let i = 308 - 308.00123. What is i rounded to 4 dps? -0.0012 Let y be (-2)/(-2 + (-148370592)/(-74185298)). Suppose 0 = -2*a - f + 14837059, -4*f + 2*f + y = 5*a. Let w = 2718531 - a. Round w to the nearest 1000000. -5000000 Let i = 3566 - 3556.945. Let p = i - 9. Let b = p + 0.048. What is b rounded to 2 decimal places? 0.1 Let k = 0.799 + -1.492. What is k rounded to one dp? -0.7 Let g = -2.176 - -1.8. What is g rounded to one dp? -0.4 Let x be (-6)/(-39) + 271702/(-13). What is x rounded to the nearest 1000? -21000 Suppose s + 1930060 + 1369940 = 0. Round s to the nearest one million. -3000000 Let z = 29 - 32.2. Let v = 2431031 - 2431027.799962. Let u = z + v. Round u to 5 decimal places. 0.00004 Let a = 2214286 + -2214286.3299934. Let q = -61 + 60.67. Let t = a - q. What is t rounded to six dps? 0.000007 Let z = 9.1 + -9. Let i = -2.95 - -3. Let s = i - z. Round s to 2 dps. -0.05 Let i = -4.6 - -5. Let l = -82.05817 + 82.458. Let q = i - l. What is q rounded to 4 decimal places? 0.0002 Let y = 38.08 + -18.8. Let d = y - 21.5. Let l = d - -1.5. Round l to one dp. -0.7 Let l = 20.407 - 20.6. Let a = l - -0.027. Let c = a + 0.25. What is c rounded to 2 decimal places? 0.08 Let h = 64 - 44. Let d be h/(-5) - 1*299996. Round d to the nearest one million. 0 Let l = -4.05 + 0.05. Let i = l - -4.75. Round i to 1 decimal place. 0.8 Let q be (370/8)/(2/583784). Suppose -4*l = l - 5*n - q, 0 = -4*l + 3*n + 10800003. Round l to the nearest one million. 3000000 Let r = 2997.2603007 + -2995.7603. Let f = -2.5 + 1. Let g = r + f. What is g rounded to 7 dps? 0.0000007 Let u = 233 - 233.0213. What is u rounded to three decimal places? -0.021 Let h be (-38100002)/(-3) + 2/(-3). Round h to the nearest one million. 13000000 Let u = -57.17 - -59.8. What is u rounded to one dp? 2.6 Let q = -122.47 + 124. Round q to one dp. 1.5 Let s be (-17)/(-4) - 4/16. Suppose -5*n + 190 = -3*t, -s*t - 221 - 4 = -n. Round t to the nearest ten. -60 Suppose -2*m = -5*x + 8, -2*x + 0*x + 8 = 4*m. Let j = -5 - -10. Suppose j*q = s + q + 7392, -4 = x*q. What is s rounded to the nearest 1000? -7000 Let p(s) = -2*s**3 - 3*s**2 - 3*s - 4. Let j be p(-2). Round j to the nearest ten. 10 Let g = -12 - -11.99999968. What is g rounded to seven dps? -0.0000003 Let a = 379451910.90000017 + -379451907. Let o = 3.9 - a. What is o rounded to seven decimal places? -0.0000002 Let w = 0.068 - -61.932. Let k = 62.0054 - w. What is k rounded to 3 decimal places? 0.005 Let n(k) = 11999*k**2 + k. Let l be n(1)
{ "pile_set_name": "DM Mathematics" }
16)/sqrt(4) + (1*sqrt(294) - sqrt(6)))/((sqrt(33) - sqrt(528))/sqrt(11)*3). 4*sqrt(2) Simplify (6*-5*(sqrt(396) + ((-1*sqrt(396) + sqrt(396))*5 - sqrt(396)) + sqrt(396) + sqrt(396))/((2*sqrt(576) - sqrt(576))*3 + sqrt(576))*3)**2. 22275/16 Simplify (-6*(5 + (3*(sqrt(162) + 1) - (-1 + sqrt(162))*1))*1 + 3)**2. 11016*sqrt(2) + 25929 Simplify (2*sqrt(156)*-5 + (sqrt(156) + (sqrt(156) - 1*(sqrt(156) + sqrt(156)*-2)) + sqrt(156) - sqrt(156)))/((sqrt(192)*-6 - (sqrt(192)*1 + sqrt(192)))*2). 7*sqrt(13)/64 Simplify (5*((sqrt(539)*2 + -1 - (sqrt(539) + sqrt(539) + 2 + 2 - sqrt(539))) + (0 + 3*sqrt(539) - sqrt(539)) + sqrt(539) + 5)*-3)**2. 1940400 Simplify ((-5 + -3*sqrt(1331)*-1 + sqrt(1331) + -3 + sqrt(1331) + 1 + -3)*1)**2 + 2. -1100*sqrt(11) + 33377 Simplify (4 + (2 + (3 + sqrt(108)*-2 - ((sqrt(108) + -2 - sqrt(108)) + -1)))**2)*2. -384*sqrt(3) + 1000 Simplify 1 + ((-1*sqrt(4752)*3)/(sqrt(55)/((sqrt(5)*-1*-4 - sqrt(5)) + sqrt(5))))**2. 62209 Simplify ((-4*sqrt(567))**2 - sqrt(28)*3) + sqrt(700)*4 + -2 + sqrt(35)/sqrt(5). 35*sqrt(7) + 9070 Simplify (-1*1*sqrt(132) + sqrt(132)*-1*1)/(((sqrt(108) - (sqrt(108) - ((sqrt(108) - sqrt(108)*5)*-4 - sqrt(108)))) + sqrt(108))/sqrt(9)). -sqrt(11)/8 Simplify ((1*-2*sqrt(2100) - sqrt(2100)) + 5*sqrt(2100)*-2)/((sqrt(7) - 4*(sqrt(7) - (sqrt(7) + -3*sqrt(7) - sqrt(7))) - (sqrt(847) + sqrt(847)*3))*6). 65*sqrt(3)/177 Simplify (-5 + 4*((sqrt(76) + sqrt(76) + 1 + 5 - (-5 + sqrt(76)*1)) + -4) + -3)**2. 320*sqrt(19) + 1616 Simplify -3 + sqrt(2548) + 5 + (6*-2*sqrt(143))/(sqrt(121)/(-1*sqrt(11))). 2 + 26*sqrt(13) Simplify 4 + sqrt(76)*-2 + 1 + 2*sqrt(76) + ((sqrt(76) + 5 + sqrt(76) + sqrt(76) + 0 + sqrt(76))*4)**2*5. 6400*sqrt(19) + 99285 Simplify ((sqrt(125) - 2*(sqrt(125) + -3 + sqrt(125) - sqrt(125)))*-5*-1 - (4 + (0 + sqrt(125) + 4 - (1 + sqrt(125) + -2))))**2. -1050*sqrt(5) + 3566 Simplify ((0 + sqrt(1377) - sqrt(1377))*-4 + sqrt(1377) + (sqrt(1377) + 3)*1 + sqrt(1377) + 5*(5 + (sqrt(1700) - (sqrt(1700) + -1)) + -5))**2. 432*sqrt(17) + 12457 Simplify 3 + (sqrt(84)/(sqrt(12) - sqrt(108)/sqrt(81)))**2 - (1 + 5*sqrt(252)). -30*sqrt(7) + 71/4 Simplify -2*(sqrt(19) + (sqrt(684) - (0 + sqrt(684)))**2) - (sqrt(95)/sqrt(80) + 4) - (5*(sqrt(171) + sqrt(171)*-3) - sqrt(171))/(sqrt(441)*-2). -85*sqrt(19)/28 - 4 Simplify (-6*((sqrt(112) - sqrt(112)*2) + sqrt(112) + 4) + (sqrt(42)/(sqrt(6)*3) - (sqrt(7) + 4*sqrt(252) + sqrt(252))))**2. 1472*sqrt(7) + 64432/9 Simplify (sqrt(252)*2*-4*-4*-6)**2 + (sqrt(847)*-1 - sqrt(847))**2 + -4 + (sqrt(7) - (sqrt(21)/sqrt(3) + 1) - (0 + sqrt(847))**2). 9292264 Simplify (((sqrt(68) - sqrt(17) - sqrt(17))**2 + 2 - (sqrt(17)*1 + -2)**2 - sqrt(187)/(3*sqrt(275))) + 0)*-1. -59*sqrt(17)/15 + 19 Simplify (sqrt(144) - (sqrt(63)/(sqrt(7)*-1) + sqrt(9)))/(sqrt(33)/(sqrt(11) + (sqrt(11) - sqrt(33)/sqrt(3))) - sqrt(3) - (5*sqrt(12)/sqrt(4) + sqrt(3))) + -1. -2*sqrt(3)/3 - 1 Simplify (2*((sqrt(891) + 2)*-1 + sqrt(891))*-3)**2 + (((-2*sqrt(660))/sqrt(12))/(sqrt(80)*2))**2*1. 2315/16 Simplify (-1 + -4*(-5 + sqrt(539) + (sqrt(539) - (-1 + sqrt(539) - sqrt(539))))*-3*-2 + -5)**2. -60480*sqrt(11) + 1249956 Simplify 5 + (sqrt(19) - ((sqrt(1216)*2 + sqrt(1216))**2 - sqrt(19))) - sqrt(209)/(sqrt(11) + (3*sqrt(22)/sqrt(2) - sqrt(11))) - 3*2*(1 + sqrt(76))*1. -10945 - 31*sqrt(19)/3 Simplify ((sqrt(108) - (sqrt(108) - 2*sqrt(108))*3)/sqrt(384))/((sqrt(108)/sqrt(2))/sqrt(9) + (sqrt(486) + (sqrt(486) - 3*sqrt(486)) - sqrt(6))). -sqrt(3)/18 Simplify ((sqrt(3300) - (3*sqrt(3300) + sqrt(3300) - sqrt(3300)))*4*6)/((sqrt(264)/(sqrt(8) + sqrt(200)))/(sqrt(12)/sqrt(4)*-2 - sqrt(3))). 8640*sqrt(3) Simplify ((3*2*sqrt(114) - 6*-2*sqrt(114))*5)/(-6*sqrt(42)/(sqrt(63)*-3)). 135*sqrt(19) Simplify 3*(1*(sqrt(34) - (sqrt(544) + sqrt(34)) - sqrt(34)))/sqrt(2) + -3 + (-2 + sqrt(612) + (sqrt(612)*-2*-5)**2)*3. 3*sqrt(17) + 183591 Simplify ((sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 5)) - sqrt(1872))*1)**2 + sqrt(1872) + -2 + (sqrt(1872) + -1)*3 + sqrt(1872) + -4. 16 + 60*sqrt(13) Simplify (-6*sqrt(880))/((sqrt(132) - sqrt(132)*3)/sqrt(12)) + -3 + (-4*sqrt(20)/(sqrt(4) + sqrt(36)))**2 + -4. -2 + 12*sqrt(5) Simplify ((4 + (-2*sqrt(252))**2 - 2*(sqrt(252) + 1)**2) + ((sqrt(252) - ((sqrt(252)*-4 - sqrt(252))*-4 + sqrt(252) + sqrt(252))) + 3)**2)*1. -780*sqrt(7) + 111647 Simplify (2*-4*(3*sqrt(360) + sqrt(360) - sqrt(360)))/((sqrt(8) - ((sqrt(968) - -2*sqrt(968)) + sqrt(968)) - sqrt(8)) + sqrt(8) + sqrt(8) + sqrt(512)*-2). 36*sqrt(5)/29 Simplify (3*(-1 + sqrt(243) + -5 - (3*sqrt(648) - sqrt(648))/sqrt(6)))**2*4. 1296*sqrt(3) + 2268 Simplify (4 + 3*sqrt(833) + -3)**2 - ((sqrt(833) - (-1*2*sqrt(833))**2) + 1 + (sqrt(833) + (sqrt(833) - (sqrt(833) + 0)))**2). 35*sqrt(17) + 9996 Simplify (sqrt(162) - sqrt(162)*1*-5) + sqrt(162) + sqrt(162) + -1 + -2 - (5*-1*sqrt(162) + (-1 + sqrt(162)*-1)**2). -166 + 99*sqrt(2) Simplify (sqrt(1700) + 1*(sqrt(1700) + -3) + sqrt(1700) + 2 + (2 + sqrt(1700)*-1 - sqrt(1700)) + 1 + sqrt(1700) + -5 + 1)**2. -80*sqrt(17) + 6804 Simplify ((1*sqrt(98) + 0 + -3 + 1)*1 + 4 + 2*sqrt(98) + -1 + (sqrt(98) - (sqrt(98) - 2*(sqrt(98) + sqrt(98) + -1)) - 1*(0 + sqrt(98) + sqrt(98))))**2. -70*sqrt(2) + 2451 Simplify (0 + ((2*(sqrt(195)*1 - sqrt(195)))/(-1*sqrt(20)/sqrt(4)))/(1*sqrt(480)/(sqrt(10)*-2)))**2. 0 Simplify ((sqrt(275) + 1*sqrt(275)*-3 + -1)*1)**2 - (-1*-3*(-1 + sqrt(275) - sqrt(275))**2 + 4). 20*sqrt(11) + 1094 Simplify (-6*-2*sqrt(539)*5)**2 - (sqrt(275) - (sqrt(275) - (sqrt(275)*4 - sqrt(275)))**2 - sqrt(55)/(sqrt(5) + sqrt(5)*-3 + sqrt(5))). -6*sqrt(11) + 1941500 Simplify 3 + ((1*(sqrt(252) - ((-1*sqrt(252) - sqrt(252)) + 4 - sqrt(252))))**2 - (0 + -1*(sqrt(1008)*-2 + sqrt(1008)))) + -4. -204*sqrt(7) + 4047 Simplify 5*(((1*sqrt(405))/sqrt(9)*1)/(4*sqrt(36)*6) + -3). -15 + 5*sqrt(5)/48 Simplify (((sqrt(81) - sqrt(9))/sqrt(3) + ((sqrt(48) - sqrt(3)) + sqrt(3))*5)**2 - ((sqrt(147) - (sqrt(147) - (3 + 1 + sqrt(147)))) + 4)**2) + -3. -112*sqrt(3) + 1238 Simplify -3 + (sqrt(1377) + 1 + 2 - (6*(sqrt(1377) + 2)**2 - sqrt(1377) - sqrt(1377))) + 4 + (sqrt(425) - (sqrt(425) + (sqrt(425)*1)**2 - sqrt(425))*2). -9132 - 184*sqrt(17) Simplify 3*((sqrt(24)/(sqrt(4)*2))/(sqrt(48)*-5) + (1*sqrt(14)/(6*-1*sqrt(7)))**2). -3*sqrt(2)/40 + 1/6 Simplify (1*(sqrt(468) + 2) + 0 - (-4 + (sqrt(1573)*-1 + sqrt(13) - (sqrt(325) - sqrt(325)*1))))**2. 192*sqrt(13) + 3364 Simplify (-3*((1*sqrt(1200) + -1*sqrt(1728))/((sqrt(726) + sqrt(726) + sqrt(726)*2)*3 - sqrt(726)) + -1))**2. 36*sqrt(2)/121 + 131841/14641 Simplify 4*(((sqrt(135)/sqrt(3))/sqrt(3) + (sqrt(15) - (-1*sqrt(75))/sqrt(5)))/(1*sqrt(80)*6) + 5). sqrt(3)/2 + 20 Simplify (-2 + -6*(-1 + (sqrt(6)/sqrt(8) - (sqrt(3) - (sqrt(3) + sqrt(3)*1)*5)))**2*5)*-3. -1710*sqrt(3) + 48927/2 Simplify (sqrt(78) + -3*sqrt(78) + sqrt(78))/sqrt(6) + (sqrt(117)/(-5*sqrt(9)))**2 + sqrt(13) - (sqrt(1872) + 4 + (sqrt(130)/(sqrt(60)/sqrt(6)) - sqrt(13))). -12*sqrt(13) - 87/25 Simplify (sqrt(504) + sqrt(504) + -2*sqrt(504) + sqrt(504) + sqrt(504))/(sqrt(28)/sqrt(4)*3) + (sqrt(2) - (sqrt(162) + 1 - sqrt(2))) + sqrt(2) + 4 + -4. -2*sqrt(2) - 1 Simplify 3*((6*-2*(sqrt(77) + 4*(sqrt(77) - 1*sqrt(77))))/((-2*sqrt(448) - sqrt(448)) + sqrt(7) + sqrt(21)/sqrt(3)*1))**2. 108/11 Simplify (0 + 0 + 5 + (sqrt(112) + sqrt(112) + (-2 + sqrt(112) - sqrt(112)) + sqrt(112) + 1 + 5)*-4 + -5)**2. 1536*sqrt(7) + 16384 Simplify (3*(-1 + (sqrt(500))**2) + ((sqrt(35) - sqrt(1260)*-2)/(-1*sqrt(175) - sqrt(7)))**2 + 0)*3. 54737/12 Simplify -2 + (1*(1 + sqrt(2299))*-4)**2*-6 + (-5*(sqrt(2299) + 1 - sqrt(2299))*2)**2 + 2. -220700 - 2112*sqrt(19) Simplify (-1*(2*sqrt(567))/sqrt(3))/(sqrt(144)/sqrt(3)*4*3). -sqrt(7)/8 Simplify -4*6*((sqrt(176) - (-2*sqrt(176) + -1) - sqrt(176)) + 4*sqrt(176)*1 - -1*(1 + sqrt(176))*-4)**2. -17112 + 1152*sqrt(11) Simplify (((-1 + sqrt(700))**2 - 4*(sqrt(7) + 0))*2 - (0 + sqrt(84)/(sqrt(12)*-2) + 1*sqrt(7) + -5)**2) + 1. -43*sqrt(7) + 5505/4 Simplify -2 + 3*((3*sqrt(70)*2)/sqrt(10) - (-5 + (sqrt(21)/sqrt(3))**2 - sqrt(28)/(3*sqrt(4)))). -8 + 19*sqrt(7) Simplify (-6*3*sqrt(704)*-1 - -5*sqrt(33)/(sqrt(24)/(sqrt(8)*1)))**2*2. 488422 Simplify ((sqrt(352)*-5)/sqrt(8) - sqrt(396)/sqrt(9)*6)/(sqrt(4000)/sqrt(10) + (sqrt(4) - sqrt(32)/sqrt(648)) + sqrt(4)). -99*sqrt(11)/107 Simplify (2*sqrt(1274)*1 + -1*sqrt(1274)*1)/
{ "pile_set_name": "DM Mathematics" }
31946 Product of -0.7 and -13867.357. 9707.1499 Calculate 0.57905008*3. 1.73715024 Product of 2 and -131151577. -262303154 What is -9.26 times -179.039? 1657.90114 What is -83 times -178716.2? 14833444.6 What is the product of -104324234 and -0.3? 31297270.2 -1.2*0.040519 -0.0486228 Work out -5 * -0.15889089. 0.79445445 6 * -0.673634 -4.041804 22016188*-0.3 -6604856.4 0.03915 times 70887 2775.22605 -45308.5*372 -16854762 Work out 0 * -2483.181. 0 Multiply -4176 and 0.2796. -1167.6096 What is 0.06511 times -0.705? -0.04590255 What is the product of -502 and -0.023552? 11.823104 8136034 times -5 -40680170 What is 264 times -368362? -97247568 174296.61 times 0.2 34859.322 Calculate 48170975*7. 337196825 Calculate 85729*34. 2914786 Product of 0 and 11673472. 0 Work out 0.2 * 1.400007. 0.2800014 What is the product of 127196 and -198? -25184808 Work out 61 * 16430. 1002230 Work out -3981242.61 * 0.4. -1592497.044 Multiply 0.07623645 and 2.9. 0.221085705 What is 138350 times 6? 830100 Multiply -2186 and 5663. -12379318 Product of 27 and -43461.9. -1173471.3 Multiply 638 and 154234. 98401292 1869779 times 0.077 143972.983 -0.000671 times 25 -0.016775 0.2 times 0.4112108 0.08224216 Product of -2 and 1544713. -3089426 What is -35 times -3010950? 105383250 Work out 775 * 5863.7. 4544367.5 Multiply -2 and 72820223. -145640446 -0.12 * -15511031 1861323.72 What is 693450 times 28? 19416600 -0.09 times -20168293 1815146.37 -51512.5451 times 0.4 -20605.01804 18.13 times -4465 -80950.45 0.09 times -822087 -73987.83 Multiply -1026736 and -148. 151956928 -8584335 * 0.18 -1545180.3 Work out 441351.8 * 1. 441351.8 1247 * -241 -300527 Calculate -45196065*-0.3. 13558819.5 What is -0.05625365 times -4.4? 0.24751606 Calculate 1*-51517228. -51517228 Product of -1331106 and -0.08. 106488.48 Product of -1323325 and 0.01. -13233.25 What is 544 times 2998.53? 1631200.32 Multiply 0.06411 and -994.6. -63.763806 Product of 15502 and 0.1794. 2781.0588 Work out 29001.52 * -4.6. -133406.992 What is the product of 449.0592 and -20? -8981.184 Calculate -65.472*9.5. -621.984 0.03 times -2503778 -75113.34 20972 times 0.0688 1442.8736 5 times 455487.5 2277437.5 Calculate -0.5320929*0.3. -0.15962787 What is 0.5212 times -6965.7? -3630.52284 What is -0.0055842 times 483? -2.6971686 Calculate 1333.2212*-7. -9332.5484 Work out 70 * -7219955. -505396850 What is 0.19761 times -6660? -1316.0826 -40.9 * -90163 3687666.7 Product of -8289.1 and 13.3. -110245.03 Multiply -185905 and 877. -163038685 What is 3.0015 times 68? 204.102 Multiply 31927 and 0.1232. 3933.4064 Calculate 0.0103*547.9. 5.64337 997.7 * -22963 -22910185.1 Multiply -100234 and 36. -3608424 What is 0.4 times -206310321? -82524128.4 240 times 493.9 118536 What is the product of -0.3 and -0.110838774? 0.0332516322 -3881245 times -0.05 194062.25 -0.1*30.891549 -3.0891549 Product of 294280.5 and -0.4. -117712.2 Work out 0.3 * -11351848. -3405554.4 Calculate -0.3043198*100. -30.43198 -23 * -26924.002 619252.046 Work out -2 * 46145916. -92291832 What is the product of -3.4 and 1287991? -4379169.4 -1392006*-0.3 417601.8 Work out -0.011 * 0.09331083. -0.00102641913 What is 10.5 times 13239.73? 139017.165 Multiply -0.01 and -4394174. 43941.74 Work out -26382 * 2.09. -55138.38 Product of 10 and 341271. 3412710 Work out 8892766 * -5. -44463830 What is 0.209 times 0.01138? 0.00237842 What is 0.119252585 times 0? 0 -239843288 * 9 -2158589592 Multiply -3 and -3726.469. 11179.407 What is the product of -0.059 and -0.83414? 0.04921426 Work out 0.4715243 * -5. -2.3576215 -357922.22*0.14 -50109.1108 Calculate 28.1*11528. 323936.8 What is -17.084 times -375.3? 6411.6252 3.81*0.17492 0.6664452 Product of -800017 and -42. 33600714 -473029 * -3 1419087 Work out 130 * -866239. -112611070 Calculate 0.9*-17517490. -15765741 What is 2330 times 0.3762? 876.546 What is 196740 times 792? 155818080 What is the product of 0.0524755 and 9? 0.4722795 Product of -17927 and 0.07. -1254.89 Multiply 0.0875 and 8909. 779.5375 -191*32.745 -6254.295 What is the product of -1.174208 and 313? -367.527104 0.081233*17.18 1.39558294 Calculate 2938917*0.5. 1469458.5 Work out 1.54 * 103777. 159816.58 -0.2 * -3862263.5 772452.7 13693.74 * -0.1 -1369.374 Calculate 1842.5314*-0.5. -921.2657 Calculate 0.668*-1.29976. -0.86823968 Calculate -0.1235203*0.5. -0.06176015 -0.058161*-61 3.547821 0.02 times -22984847 -459696.94 2 * 11700324 23400648 Multiply 0.112 and -114309. -12802.608 Work out 0.9 * -0.47414682. -0.426732138 -24740304 * -6 148441824 Product of -5273 and 76.8. -404966.4 Multiply 4093654 and -0.12. -491238.48 -569199 * 18.42 -10484645.58 Work out 0.7 * -0.404736. -0.2833152 Calculate 1.582*6901. 10917.382 0.05986956 times 0.5 0.02993478 What is -0.0982258 times -0.1209? 0.01187549922 Work out 2771 * -1127.2. -3123471.2 Work out 340436 * 511. 173962796 What is 98 times 173650? 17017700 -569.6*-170 96832 -0.2 * -319.38875 63.87775 Product of 0.9 and 265974. 239376.6 What is -6.184809 times 0.4? -2.4739236 1994.5 * -151 -301169.5 Calculate -0.5*-90062059. 45031029.5 Product of 15 and -310.38. -4655.7 Product of 74 and -1819471. -134640854 Calculate -2*-3395106. 6790212 Work out -24.6 * -0.3198. 7.86708 Work out 6 * -205096760. -1230580560 Calculate 27.5*-2.8997. -79.74175 -5.3*5721982 -30326504.6 Calculate -0.66976*-904. 605.46304 -10.3289 times -37 382.1693 Multiply -0.2 and -11428.64. 2285.728 -11401.316 * -2 22802.632 Product of -0.59 and 2092. -1234.28 -8.1 * 262934 -2129765.4 What is 0.3829 times -1.493? -0.5716697 Product of -26419 and -1772. 46814468 What is the product of -9803401 and 0.6? -5882040.6 Work out -16 * 443900. -7102400 Calculate 7.742623*55. 425.844265 -0.1 * 22504646 -2250464.6 Work out -13 * -2084445. 27097785 What is the product of 2.18525 and -22.32? -48.77478 What is 682000 times -47? -32054000 -269.14 * 271 -72936.94 1884.8 times -397 -748265.6 Work out 43310 * 36. 1559160 -748*3251 -2431748 -20669 times 5.72 -118226.68 -0.09 * -118069 10626.21 -13.145256*5 -65.72628 2*28089664 56179328 Multiply 3.7685868 and 1. 3.7685868 Multiply -0.0325 and -11498.2. 373.6915 Calculate 5*-810723. -4053615 Work out -967622 * 0.1. -96762.2 Multiply -0.54772807 and -6. 3.28636842 Calculate -9310910*-17. 158285470 Product of -0.3 and 989528. -296858.4 3 times -80353858 -241061574 Work out 729.26 * -0.029. -21.14854 What is -1 times -1076.9998? 1076.9998 What is 0.6178 times 18856? 11649.2368 What is the product of -0.063921 and -0.18? 0.01150578 0.05 * -1.48307 -0.0741535 -51064.51 * 0.1 -5106.451 What is 389.2 times 22.2523? 8660.59516 Multiply -50 and 20.1315. -1006.575 0.3126425032 * -0.2 -0.06252850064 Multiply -1393 and -58481. 81464033 What is -0.0778 times 1456559? -113320.2902 0 times 4221081 0 What is the product of 11.27 and -1329.88? -14987.7476 Product of 0.0974 and -76028.5. -7405.1759 What is -1.7 times 688.7711? -1170.91087 Product of 120 and 0.1103178. 13.238136 What is the product of -0.163446 and 3? -0.490338 What is the product of 56 and -1969796? -110308576 Calculate 25264825*-0.1. -2526482.5 -8*617374.17 -4938993.36 Work out 1 * -3478500. -3478500 -16.2583*-2025 32923.0575 Calculate 6*0.0839088. 0.5034528 Multiply -16218840 and -0.3. 4865652 -0.076*25216.2 -1916.4312 Work out 5.56 * -10506. -58413.36 What is 0.37143359 times 19? 7.05723821 What is 0.445189 times -0.41? -0.18252749 Work out 0.16 * 3702.588. 592.41408 Work out -0.6674 * 975. -650.715 Product of -182 and -6283. 1143506 What is the product of 33.493538 and 2? 66.987076 Product of 42.6 and 4692.8. 199913.28 0 * -75.2877 0 45713.4 times 84 3839925.6 Calculate -15.5244999*1. -15.5244999 Work out 178 * -84377. -15019106 Calculate 0.0523*0.26306. 0.013758038 What is the product of -122.33163 and 5? -611.65815 Product of 0 and 597284. 0 What is -97.5 times -14350? 1399125 -1990*-30.7 61093 10 * 48.1061 481.061 What is -164728 times 8.6? -1416660.8 0.4 * 92980.1 37192.04 Work out -0.02525317 * -21. 0.53031657 Work out -0.003 * 1491957. -4475.871 Calculate -23.6585*-41. 969.9985 What is -0.3 times -6412565? 1923769.5 Multiply 1.1 and -40.0006. -44.00066 Calculate 39*0.245053. 9.557067 9106 * -106.363 -968541.478 What is the product of -1 and 22625.717? -22625.717 5.56 times 1875 1
{ "pile_set_name": "DM Mathematics" }
949819 a multiple of 160? False Is 5070623 a multiple of 304? False Is 57 a factor of 236223? False Is 587 a factor of 8203148? False Is 236 a factor of 8674580? False Is 2905184 a multiple of 11? False Is 1875786 a multiple of 22? True Does 3 divide 537753? True Is 2654400 a multiple of 790? True Does 897 divide 9350328? True Does 430 divide 474290? True Does 5 divide 44106? False Is 99101 a multiple of 13? False Is 406 a factor of 552566? True Does 13 divide 4983940? True Is 198 a factor of 72864? True Is 90 a factor of 325191? False Is 525834 a multiple of 572? False Does 105 divide 168420? True Is 1287936 a multiple of 48? True Does 15 divide 8749035? True Is 1953324 a multiple of 12? True Is 3809682 a multiple of 18? True Is 336 a factor of 2629872? True Is 14 a factor of 7482790? True Does 21 divide 123898? False Does 2 divide 22684? True Is 162316 a multiple of 476? True Does 89 divide 24466100? True Is 110 a factor of 2368202? False Is 347 a factor of 672482? 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False Is 778 a factor of 2765217? False Is 539 a factor of 1130822? True Is 96 a factor of 137760? True Does 293 divide 589783? False Is 15 a factor of 9731? False Is 73109 a multiple of 78? False Is 71 a factor of 183606? True Is 173128 a multiple of 67? True Does 254 divide 386753? False Is 115731 a multiple of 11? True Is 2642102 a multiple of 38? True Is 533925 a multiple of 225? True Is 11868 a multiple of 69? True Is 2853734 a multiple of 227? False Is 968748 a multiple of 33? True Does 528 divide 1286208? True Is 31950 a multiple of 213? True Is 4765 a multiple of 68? False Is 454864 a multiple of 16? True Is 7 a factor of 3547964? True Is 38 a factor of 61978? True Does 175 divide 5265225? True Is 12231010 a multiple of 73? False Is 14 a factor of 517468? True Does 7 divide 5802993? True Is 414392 a multiple of 96? False Does 66 divide 5782411? False Is 68836 a multiple of 25? False Does 16 divide 57008? True Does 56 divide 7341456? False Is 152 a factor of 145008? True Does 33 divide 26169? True Does 84 divide 10501596? True Is 57 a factor of 1305684? False Does 11 divide 2069793? True Does 14 divide 266648? False Is 6 a factor of 2741232? True Is 4 a factor of 1045394? False Is 997750 a multiple of 26? True Is 62 a factor of 483460? False Does 7 divide 21892? False Does 331 divide 179402? True Does 21 divide 373900? False Is 501 a factor of 441688? False Does 19 divide 117211? True Is 825 a factor of 8740125? False Does 33 divide 173125? False Is 288006 a multiple of 46? True Does 695 divide 3790530? True Is 8 a factor of 309212? False Does 165 divide 86460? True Does 10 divide 4715317? False Does 77 divide 481913? False Is 89 a factor of 5420597? False Is 428142 a multiple of 13? True Is 4855768 a multiple of 433? False Is 32 a factor of 33408? True Does 325 divide 1360974? False Is 176 a factor of 64768? True Is 69134 a multiple of 13? True Does 56 divide 41006? False Is 825 a factor of 604533? False Is 14 a factor of 213150? True Is 80055 a multiple of 45? True Is 665 a factor of 81795? True Does 42 divide 16631316? False Is 36 a factor of 12600? True Does 194 divide 4143064? True Is 4217 a multiple of 6? False Does 29 divide 142379? False Does 63 divide 301140? True Is 454 a factor of 177514? True Does 25 divide 325150? True Is 3837200 a multiple of 200? True Does 23 divide 3368239? False Is 89443 a multiple of 15? False Is 62809 a multiple of 92? False Is 4569249 a multiple of 26? False Is 22897 even? False Is 1070221 a multiple of 43? False Is 6546348 a multiple of 155? False Is 14350 a multiple of 7? True Is 127 a factor of 38354? True Is 54 a factor of 149418? True Is 22 a factor of 184875? False Is 5272544 a multiple of 32? True Is 760879 a multiple of 18? False Is 147 a factor of 747486? False Does 8 divide 387144? True Is 4152460 a multiple of 26? True Is 571439 a multiple of 47? False Is 8 a factor of 111688? True Is 16 a factor of 308804? False Does 21 divide 567612? False Is 206 a factor of 48072? False Is 410020 a multiple of 52? True Is 5388082 a multiple of 119? True Is 80 a factor of 2003380? False Is 22097 a multiple of 135? False Is 283619 a multiple of 41? False Is 49 a factor of 118267? False Is 101 a factor of 25101934? True Is 4600339 a multiple of 25? False Does 182 divide 2595502? True Is 1793080 a multiple of 10? True Does 571 divide 628671? True Does 64 divide 365078? False Does 99 divide 70488? True Is 987 a factor of 4639887? True Does 32 divide 652845? False Does 22 divide 189611? False Is 56816 a multiple of 55? False Does 22 divide 4843705? False Does 19 divide 1363446? False Does 12 divide 580656? True Is 2699384 a multiple of 49? False Does 9 divide 40086? True Is 24971 a multiple of 123? False Is 20459511 a multiple of 2886? False Is 414 a factor of 4052646? True Is 1124704 a multiple of 16? True Does 10 divide 4228684? False Is 493788 a multiple of 6? True Does 15 divide 2605815? True Does 206 divide 438162? True Is 134 a factor of 86162? True Is 56210 a multiple of 365? True Is 1361734 a multiple of 53? False Is 134 a factor of 8788390? True Is 224 a factor of 1988560? False Is 4538240 a multiple of 28? True Is 20884 a multiple of 6? False Is 543 a factor of 8241111? True Is 309 a factor of 259652? False Is 571584 a multiple of 192? True Is 571974 even? True Is 3060502 a multiple of 4? False Is 225928 a multiple of 23? False Does 15 divide 1969050? True Is 89325 a multiple of 9? True Is 2777759 a multiple of 8? False Is 523 a factor of 334197? True Is 21 a factor of 3846906? True Is 2164848 a multiple of 14? True Is 207 a multiple of 207? True Is 95 a factor of 13668193? False Is 7 a factor of 172186? True Does 27 divide 1591137? True Is 9 a factor of 522676? False Is 8 a factor of 3559575? False Is 187 a factor of 1636281? False Does 2 divide 79737? False Is 4 a factor of 45625? False Is 20 a factor of 122639? False Does 990 divide 27362471? False Does 18 divide 247734? True Does 22 divide 55393? False Is 115 a factor of 240925? True Does 29 divide 260920? False Is 1627 a factor of 12466074? True Does 8 divide 3958406? False Does 196 divide 28527? False Is 34 a factor of 693158? True Is 3223 a multiple of 11? True Is 111 a factor of 10511288? False Does 20 divide 2157011? False Does 153 divide 700400? False Does 189 divide 140632? False Is 6 a factor of 123167? False Does 170 divide 15810? True Is 1616887 a multiple of 2? False Is 16080336 a multiple of 432? True Is 334880 a multiple of 8? True Is 11495074 a multiple of 13? False Is 47 a factor of 13296582? True Does 7 divide 165543? True Does 65 divide 236610? False Is 28464 a multiple of 10? False Is 2295360 a multiple of 576? True Is 11 a factor of 344344? True Is 1163675 a multiple of 5? True Is 919355 a multiple of 19? False Is 1908555 a multiple of 43? True Is 59 a factor of 806884? True Is 215702 a multiple of 323? False Is 28241 a multiple of 4? False Does 154 divide 159885? False Is 151 a factor of 14512365? False Is 263296 a multiple of 17? True Does 19 divide 14787434? True Is 727852 a multiple of 628? True Does 28 divide 680430? False Is 888688 a multiple of 14? False Does 313 divide 1044884? False Is 4173093 a multiple of 252? False Does 18 divide 4623469? False Is 594 a factor of 2252502? False Is 661375 a mul
{ "pile_set_name": "DM Mathematics" }
5*c - 40*c + 8*c**2 - 35*c. Let x(h) = -7 + 7 - 2*h. Determine q(x(p)). 32*p**2 Let t(s) = -2*s**2. Let b(o) = 4*o**2 - 2*o**2 - 7*o**2 + 2*o**2. Let x(i) = -3*i**2. Let y(a) = 2*b(a) - 3*x(a). What is y(t(z))? 12*z**4 Let w(b) be the second derivative of b**4/3 - b. Let l(i) = -46*i + 0 - 32*i + 0 + 72*i. Calculate l(w(q)). -24*q**2 Let j(k) = 164*k. Let d(u) = -331*u. Determine d(j(t)). -54284*t Let a(q) = 14*q**2 + 5*q - 5. Let d(k) = -10*k. Determine d(a(l)). -140*l**2 - 50*l + 50 Let o(h) = -31*h**2. Let m(j) = -j + 9. Let z(q) = 2*q - 108. Let x(w) = 12*m(w) + z(w). Calculate x(o(r)). 310*r**2 Let y(o) = -o**2. Let q(l) = 4398763*l. Determine q(y(a)). -4398763*a**2 Let o(v) = 21359*v**2. Let q(a) = 334*a. What is q(o(y))? 7133906*y**2 Let s(h) = -6*h. Let u(f) = 320*f**2 + 168*f. Let d(a) = 29*a**2 + 15*a. Let t(k) = 56*d(k) - 5*u(k). Give t(s(w)). 864*w**2 Let c(m) = -4*m - m + 6*m. Suppose 0 = -10*i + 13*i - 24. Let w(k) = 17*k**2 - 9*k**2 - i*k**2 + k**2. Calculate c(w(f)). f**2 Let q(h) = 19*h**2. Let j(t) = 3275*t. What is j(q(u))? 62225*u**2 Let x(f) = -f - 2. Suppose -6*c + 41 = -3*c - 5*z, 5*c - 91 = -3*z. Let r(q) = 8*q + 7*q + q - c*q. Give x(r(g)). g - 2 Let f(q) be the second derivative of 0 + 0*q**3 + 1/24*q**4 - 2*q - 3/2*q**2. Let y(k) be the first derivative of f(k). Let i(j) = -9*j. Calculate i(y(b)). -9*b Let f(p) = 4*p**2 + 2*p**2 + 3*p**2 - 6*p**2. Let u(c) = c**2 - c + 1. Let k(r) = -20*r**2 + 16*r - 16. Let j(v) = k(v) + 16*u(v). Give f(j(l)). 48*l**4 Suppose 5*j = -2*z + 3*z - 15, 2*z + 9 = -3*j. Let s(l) = -l - l + l + z. Let w(i) = 39*i. What is s(w(v))? -39*v Let a(n) = 3167*n + 57*n**2 - 16*n**2 - 3168*n. Let g(f) = -2*f. Give g(a(c)). -82*c**2 + 2*c Let f(z) = -12*z**2 - 33. Let i(p) = 5*p**2. Calculate i(f(k)). 720*k**4 + 3960*k**2 + 5445 Let p(r) = -407*r**2. Let k(i) = -14*i. Give p(k(j)). -79772*j**2 Let l(n) be the second derivative of -1/2*n**3 + 9 + n + 0*n**2 - 1/12*n**4. Let h(r) = -r**2. Calculate h(l(q)). -q**4 - 6*q**3 - 9*q**2 Let c(n) = -13*n**2. Let y(k) = 7*k + 1061 - 2121 + 1060. Calculate y(c(x)). -91*x**2 Let m(l) be the third derivative of 73*l**4/12 - 65*l**2. Let x(d) = -2*d**2. What is m(x(y))? -292*y**2 Suppose 2*g - 19 + 15 = 0. Let i(p) = -g*p + p - 2*p + 6*p. Let q(y) = 13*y. Let h(r) = 18*i(r) - 4*q(r). Let a(z) = -6*z**2. Give a(h(k)). -24*k**2 Suppose -t = 4*t - 100. Let y(r) = -20*r + 50*r - t*r. Let d(j) = 5*j. What is d(y(u))? 50*u Let p(d) = 18*d**2 + 5. Let q(k) = -7*k**2 - 78. Let h(o) = 6*o**2 + 65. Let x(f) = 6*h(f) + 5*q(f). What is x(p(u))? 324*u**4 + 180*u**2 + 25 Let y(r) = -r**3 - 8*r**2 + 4*r. Let t be y(-8). Let b = 23 + t. Let u(j) = 5*j. Let i(s) = -s. Let v(f) = b*i(f) - 2*u(f). Let n(w) = -2*w. Give v(n(o)). 2*o Let f(k) = 9*k + 7. Let m(x) be the first derivative of 3*x**2 + 5*x - 13. Let t(c) = -5*f(c) + 7*m(c). Let l(n) = -10*n - 4 + 4. Determine l(t(a)). 30*a Let z(b) = 18*b**2 + b. Let m(w) = -74*w - 70*w + 142*w. What is z(m(c))? 72*c**2 - 2*c Let u(g) = -g. Let k(h) = -80*h**2 - 20*h - 1. Calculate u(k(a)). 80*a**2 + 20*a + 1 Let x(n) = -2*n. Let f(i) = 55*i - 6. Let u(w) = 166*w - 17. Let j = -29 - -23. Let r(c) = j*u(c) + 17*f(c). Calculate r(x(l)). 122*l Let s(c) = 3*c**2. Let o(w) = -62454*w. Calculate s(o(h)). 11701506348*h**2 Let u(h) = -5 + 5*h**2 + 5. Suppose 0 = n - 3*n + 3*g + 9, 0 = -4*n - 4*g + 68. Let s(b) = -2*b + n - 24 + 12. What is u(s(j))? 20*j**2 Let x(k) = -k**2. Let g = -46 + 41. Let p(y) = 852*y - 71. Let i(s) = -61*s + 5. Let m(q) = g*p(q) - 71*i(q). What is x(m(r))? -5041*r**2 Let t(q) = 2. Let h(f) = -f - 5. Let l(u) = 2*h(u) + 5*t(u). Let k(a) = 11051*a - 5522*a - 5529*a + 9*a**2. What is k(l(c))? 36*c**2 Let b be (6/(-4))/(7/(-14)). Let c(k) = b + k**2 + 0 - 3. Let p(v) = 14*v + 0 - 29*v + 0. Determine p(c(s)). -15*s**2 Let k(m) = 197*m. Let p(n) = 4*n**2 - 5*n - 35. Let c(r) = r**2 - r - 7. Let l(w) = 5*c(w) - p(w). Determine k(l(j)). 197*j**2 Let u(l) = -5*l - 4. Let d(f) = -2*f + 53. What is u(d(v))? 10*v - 269 Let j(h) = 2*h. Let g(d) = -259*d - 162. What is g(j(k))? -518*k - 162 Let u(l) = -2*l**2. Let v(x) = -x**2 + 13*x - 10. Let y be v(12). Let d(t) = -t**2 + t. Let n(b) = -12*b**2 - b. Let w(g) = y*n(g) + 2*d(g). Determine w(u(a)). -104*a**4 Let g(v) = 58*v. Let j(p) = p + 1. Let a(u) = -3*u - 1. Let y(f) = -3*a(f) - 3*j(f). Give g(y(w)). 348*w Let d(n) = 8*n - 1. Let v(g) be the first derivative of -g**2/2 - 88. What is d(v(r))? -8*r - 1 Let q(j) = 2*j**2. Let u(l) = -34970*l. What is u(q(z))? -69940*z**2 Let j(l) = -7*l. Let r(q) = q**2 - 41*q + 7. Determine j(r(x)). -7*x**2 + 287*x - 49 Let b(f) = -26771*f. Let s(n) = -3*n. Determine b(s(c)). 80313*c Let b(r) = 92*r. Let x(c) be the first derivative of -c**2/2 - 44. Give b(x(a)). -92*a Let d(z) = -19562*z. Let a(i) = -3*i**2. Calculate d(a(h)). 58686*h**2 Let f(a) = 1 - 1 - 4*a**2. Let m be (-4)/(-6) - 4/(-12). Let x(c) = -m + 13*c - 15*c + 1. Determine f(x(q)). -16*q**2 Let s(n) be the first derivative of n**3/3 - 431. Let j(b) = -b**2 - 2*b**2 + 5*b**2. What is s(j(a))? 4*a**4 Let i(c) = -92712*c. Let p(y) = 29*y**2. What is p(i(k))? 249269933376*k**2 Let x(a) = -97*a**2. Let p(y) = -9*y**2. Determine x(p(r)). -7857*r**4 Let r(c) = -12*c + 1. Let q(u) = -23*u + 30. Let j(t) = q(t) - 2*r(t). Let y(h) = -3*h**2. Give j(y(v)). -3*v**2 + 28 Let v(j) = j**2 - 692*j + 17. Let a(p) = 4*p. Calculate v(a(f)). 16*f**2 - 2768*f + 17 Let m(i) = -3*i. Let h(a) = 23512*a**2 + 2*a. What is h(m(c))? 211608*c**2 - 6*c Let o(x) = -11*x + 191 + x + 3*x + 5*x. Let y(l) = -2*l. Calculate o(y(m)). 4*m + 191 Let h(o) be the first derivative of 9*o**2/2 - 6. Let m(j) = 0 - 2*j**2 + 0. Determine m(h(u)). -162*u**2 Let h(r) be the second derivative of -r**4/6 - 12*r**2 + 10*r. Let d(c) = c**2. Determine h(d(u)). -2*u**4 - 24 Let a(w) = -w**2. Let m(h) = -5851*h + 2. What is a(m(s))? -34234201*s**2 + 23404*s - 4 Let a(q) = q - 69. Let m(b) = -5*b**2 - 11*b - 6. Give a(m(n)). -5*n**2 - 11*n - 75 Let w(o) = 2*o**2. Let c(a) = 2*a - 370. Give w(c(l)). 8*l**2 - 2960*l + 273800 Let a(f) = -9*f. Let d(o) = 4*o. Let u(j) = -j**3 - 6*j**2 + 8*j + 2. Let m be u(-7). Let t(x) = m*d(x) - 2*a(x). Let v(l) = 2 - 16*l - 2. Calculate t(v(p)). 32*p Let r(d) = -2*d - 4*d - 8*d. Let q(i) = -7*i. What is q(r(v))? 98*v Let a(l) = l. Suppose 4*m - 5 = 11. Let d = 1 + 3. Let f(h) = -h + m - d. Give a(f(u)). -u Let c(p) = 14*p. Let b(t) = -1. Let q(i) = -4*i**2 - 1. Let v(k) = b(k) - q(k). Let r(d) = -7*d**2. Let y(n) = -3*r(n) - 5*v(n). Calculate y(c(o)). 196*o**2 Let x(c) = -c**2. Let j(r) = 22849*r. Determine j(x(q)). -22849*q**2 Let m(j) be the second derivative of j**3/3 - 2*j. Let s = 95 + 13. Let l(t) = s - 108 - 5*t. Give m(l(r)). -10*r Let s(z) = 5*z - z + 2*z + 9*z - 17*z. Let j(q) = 107*q. Give s(j(r)). -214*r Suppose 4*k + y - 7 = 0, -12*y + 2 = 4*k - 10*y. Let u(w) be the second derivative of 0 + 5/3*w**k - 6*w + 0*w**2. Let j(i) = -2*i. Determine u(j(f)). -20*f Let x(g) = 34170*g**2. Let w(t) = -13*t**2. Calculate x(w(b)). 5774730*b**4 Let p(k) = 1277*k**2. Let j(r) = 40*r. Give j(p(d)). 51080*d**2 Let r(n) be the third derivative of -53*n**4/24 - 77*n**2. Let l(i) = -2*i. Give r(l(q)). 106*q Let o(h) = -26*h**2. Let m(q) be the third derivative of q**4/12 - 208*q**2. Give m(o(s)). -52*s**2 Let c(z) be the second derivative of -11*z**4/6 + 220*z. Let t(w) = 2*w**2. What is t(c(y))? 968*y**4 Let g(t) = 295*t**2 + t. Let u(d) = -5205*d. What is g(u(k))? 7992147375*k**2 - 5205*k Let w(l) = -l**2. Let h(n) be the first derivative of -2*n**2 + 11*n + 190. Calculate h(w(a)). 4*a**2 + 11 Let y(u) = -15*u + 2. Let v(x) = 5*x - 1. Let j(t) = 5*v(t) + y(t). Let g(s) = -s**2. Calculate g(j(k)). -100*k**2 + 60*k - 9 Let s(k) be the third derivative of -k**5/120 + 7*k**3/6 + 21*k**2. Let a(b) be the first derivative of s(b). Let d(m) = -9*m**2. Calculate a(d(z)). 9*z**2 Let u(o) = -9*o - 3*o + 2*o + 5*o + 3*o. Let f(k) = 2*k - 2*k + 4*k. What is f(u(a))? -8*a Let o(v) = -4*v**2. Let t be -9*4/(-48) - (-3)/(-4). Let j(n) be the third derivative of -7*n**2 + 0*n**3 + 1/12*n**4 + t*n + 0. Determine o(j(a)). -16*a**2 Let x(s) = 6*s. Let v(m) be the second derivative of 7*m**4/12 - 16*m + 2. What is x(v(i))? 42*i
{ "pile_set_name": "DM Mathematics" }
763*s - 6754*s + 0 + 7). -27*s**5 - 21*s**4 Expand (-1 + 3*y + 1)*(y - 4*y + 5*y + 1 - 1 + 3*y + 2*y - 1 + 1 + y + y - 4*y + (-y - 4*y + 4*y)*(3 - 4 + 3) - 3*y + y + 0*y - 2*y - y + 5*y). 9*y**2 Expand 3*o**2 - 2*o**2 + 0*o**2 + (4*o - 3*o + 9*o)*(5*o + o - 5*o) + 2*o**2 - 5*o**2 + 4*o**2. 12*o**2 Expand (-s**3 + s**4 + s**3)*(5 - 2*s - 5) + 3*s**5 - 4*s**5 + 2*s**5 - 180*s**5 - 6223*s**2 + 6223*s**2 - 25*s**2 + 6*s**5 + 25*s**2. -175*s**5 Expand (-3*r + 5*r - 4*r)*(0*r**2 + r**3 + 0*r**2 + (229*r**2 - 13*r**3 - 229*r**2)*(-2 + 2 + 2) + 8 - 8 - 4*r**3). 58*r**4 Expand (0*s**3 + s**3 - 3*s**3)*(-2916 + 57*s + 5842 - 2922). -114*s**4 - 8*s**3 Expand (83 - 155 - 89)*(3*z**5 + 2*z**5 - 4*z**5). -161*z**5 Expand (l + 0*l + 5*l)*(8*l - 15*l - 13*l). -120*l**2 Expand 2*k**5 + k - k + (3*k**3 + k**2 - k**2)*(-3 - 4 + 4)*(5*k + 3*k - 3*k)*(0 + 0 - 4*k). 182*k**5 Expand (0 - 1 + 3)*(1046*d**4 - 1745*d**4 + 1058*d**4). 718*d**4 Expand (-798 + 27 + 198 - 848 + 21)*(3 - 3 - v). 1400*v Expand (2*b + 394*b**2 - 2*b - 71*b**2)*(-3*b**2 + 5*b**2 + 0*b**2). 646*b**4 Expand (0*i + 0*i + 2*i)*(-2 + 2 + 2) + 2*i + 0*i + 0*i + (0 + i + 0)*(-2 - 4 + 3). 3*i Expand (2*d - d - 2*d)*(-2 - 30*d - 5*d**2 + 30*d) - 5*d**3 - 2*d**3 - 3*d**3 + (4 - 4 + 2*d**2)*(0*d + d + d) - 1 - d**3 + 1 - 2*d**2 + 2*d**2 - 2*d**3. -4*d**3 + 2*d Expand (265 - 61*c + 31*c + 38*c)*(-1 + 2 - 2)*(2*c**2 + c - c). -16*c**3 - 530*c**2 Expand (4*q - 3*q - 3*q)*(-3 - 1 + 6) - 42*q - 35*q + 2 + 100*q. 19*q + 2 Expand 4*o**2 - 4*o**2 - 2*o**5 + (-3*o + 4*o - 4*o)*(2*o**4 + 2*o**4 - 2*o**4) + (2 + 0 - 1)*(1 + o**4 - 1)*(3*o + 4*o - 8*o). -9*o**5 Expand (-1 + 3 - 1)*(r**2 - 2*r**2 + 0*r**2) + 5*r**2 + 3 - 3 + r**2 - 5*r**2 - r**2 - 3 + r + 3 - r**2. -2*r**2 + r Expand (-71 - 182 - 75 + 74)*(0*i**2 - 5*i**4 + 0*i**2). 1270*i**4 Expand (16*t - 16*t + 9*t**2 + 1)*(-144 + 61*t + 144). 549*t**3 + 61*t Expand (9 + 0 + 0)*(-3*v - 2*v + 2*v)*(2 - 1 + 0). -27*v Expand (-5*p**2 + 3*p**2 + 0*p**2)*(-1 - 1 + 1)*(122 - 54*p**3 - 122). -108*p**5 Expand (-20 + 24 - 69)*(h - 1 + 1)*(1 - 2*h - 1). 130*h**2 Expand (0*f**2 + 0*f**2 + 2*f**2)*(48*f + 17*f + 48*f + 17*f). 260*f**3 Expand a - a - 2*a**5 + (-6*a + 6*a - 3*a**3)*(-24*a**2 - 43 + 43). 70*a**5 Expand (6 - 23 - 10*h + 14)*(29*h - h + 2*h). -300*h**2 - 90*h Expand (-2*x + 9*x - x)*((10*x**2 - x**2 - x**2)*(5 - 5 - 2*x) - 5*x**3 + 2*x**3 + x**3). -108*x**4 Expand (-2*l**2 - 4*l**2 + 4*l**2)*(-l + l + 2*l**2) - 20197*l - 183*l**4 + 20197*l. -187*l**4 Expand (-35 + 37 + 112 + 2*a)*(1 - 1 - a**4). -2*a**5 - 114*a**4 Expand (q**2 - q**2 - 4*q**2)*((4 + 2*q - 4)*(-6 + 8 + 12) + (2 - 2 - 2)*(-2*q + 0 + 0)). -128*q**3 Expand (-1 - 1 + 3)*(-g + g - 4*g)*(6*g + 0*g - g)*(-2*g**2 + 0*g**2 + 0*g**2). 40*g**4 Expand (0 - c + 0)*(-264 + 196 - 733). 801*c Expand ((-3 + 1 + 0)*(-o - 3*o + 5*o) + 1 - 1 + o + 2*o - o + o)*(-15 - 8 + 2). -21*o Expand (-52 - 120*p**2 - 30 + 121*p**2)*(-1 + 2*p + 0*p + 7*p). 9*p**3 - p**2 - 738*p + 82 Expand 5*l - 2*l - 2*l - l - 3 + 3 + (3*l + l - 6*l)*(-265 + 114 + 107) + 2*l - 2*l + l. 89*l Expand 12*a**2 - 7*a**2 + 5*a**2 + 4*a**2 - 1 + 1 + (-1 - 4 + 4)*(-2*a**2 + a**2 + 3*a**2) + 7*a**2 + 2*a**2 - 4*a**2 + (3 - 5 + 3)*(-2*a**2 + 3 - 3). 15*a**2 Expand (0 + a**2 + 0)*(-1 + 3*a + 1) - 1528 + 1528 - 164*a**3. -161*a**3 Expand (-w**2 + 2*w**2 + 0*w**2)*(3143*w - 3143*w + 52*w**2). 52*w**4 Expand (-4 + 6 - 25)*(r**3 - r**3 + r**4 + (1 - 1 - 2*r**2)*(-5*r**2 + 3*r**2 + 0*r**2) - 4*r**4 + 5*r**4 + 0*r**4 + 2*r**4 - 2 + 2 - 3*r**4 + 5*r**4 - r**4). -207*r**4 Expand 7200 + u + 257*u**3 - 7200 + (2*u**2 - 2*u**2 - 2*u**2)*(u - 2*u + 2*u). 255*u**3 + u Expand -s**3 + 0*s**3 - s**3 + (-2 - 1 + 0)*(1 - 2*s - 1)*(4*s**2 - 2*s**2 - s**2). 4*s**3 Expand (-4 + 5 - 3)*(0*s**2 + 0*s**2 + 2*s**5) - 364 + 364 - 128*s**5. -132*s**5 Expand (2*u + 4*u - 2*u)*(6 + 3 - 4)*(-6*u**3 - 6*u**4 + 6*u**3). -120*u**5 Expand (-4*o - 7*o + 5*o)*(10*o**2 - 9*o**3 - 10*o**2)*(3*o + 3*o - 4*o). 108*o**5 Expand (-7 - 16 + 79)*(-6*i - 4*i + 4*i + (3 - 3 - 2)*(i - 2 + 2)). -448*i Expand (3 + 1 - 3)*((-4*s + 3*s + 3*s)*(-9 + 3 + 48) - 5*s + s + 2*s). 82*s Expand (-17*m**4 + 10*m**4 + 15*m**4)*(-m + 0*m + 0*m) + 18 - 18 - 24*m**5. -32*m**5 Expand (-x**3 - 2*x**3 + 5*x**3)*(4*x + 0*x - 2*x)*(-265 - 330 + 68). -2108*x**4 Expand 4*p**5 + 3*p**5 - 2*p**5 + (1 + 3*p - 1)*(p**4 + 0*p**2 + 0*p**2). 8*p**5 Expand (4 + 2*c - 4)*(-3*c**3 - c**4 + 3*c**3) + 3 + 92*c**5 - 60*c**5 - 71*c**5. -41*c**5 + 3 Expand 2*y**5 + 5*y**5 - 5*y**5 + (107*y**3 - 19*y**5 - 107*y**3)*(1 + 0 - 2) - 4*y**5 + 5*y**5 + 0*y**5. 22*y**5 Expand (5*f - 2*f - 2*f)*(44 + 12 + 19)*(10*f**2 - 6 + 6). 750*f**3 Expand 3*m - 4*m + 4*m + (3 - 2 + 1)*(10*m - m + 0*m). 21*m Expand -n**5 - 3*n**2 + 3545*n**3 - 3545*n**3 - 7 + 2*n**5 + n - n + (-n + 0*n - n)*(5*n**3 - 5*n**3 + n**4) - n - 2*n**5 + n. -3*n**5 - 3*n**2 - 7 Expand (15 + 5 - 34)*(-5*j**3 - 2*j**3 + 2*j**3). 70*j**3 Expand (2 + 2*i**2 - 2)*(-287*i**2 - 3 + 138*i**2 + 141*i**2). -16*i**4 - 6*i**2 Expand 3*n**3 + n - n + (1 + 1 - 1)*(3*n**3 - 7*n**2 + 7*n**2) - 2*n**3 + 5*n**3 - 2*n**3. 7*n**3 Expand -5*t**2 - 2*t**2 + 15*t**2 + ((-32 + 2*t + 3*t - 4*t)*(1 + 3 - 2) + 3*t - 5*t + 3*t)*(1 - 1 - 2*t). 2*t**2 + 128*t Expand (11 + 3*y - 11 + (-3*y + 3*y + y)*(-2 + 3 + 1))*(y - 4*y - 2*y). -25*y**2 Expand (-3 - 1 + 6)*(0 + 3 - 1)*(-2*h**2 - 6*h**2 - 4*h**2). -48*h**2 Expand (-4*c**2 + 0*c**2 + 2*c**2)*(-260*c**3 + 526*c**3 - 268*c**3 - 457). 4*c**5 + 914*c**2 Expand (-7 + 6 - 6)*(2*r + 5*r - 3*r)*(-1 + 1 + 1). -28*r Expand (m**2 - m**2 + m**2)*(-4*m**2 + 0*m**2 + 5*m**2) + (-324 - 13*m**3 + 324)*(5*m + 11*m - 5*m). -142*m**4 Expand (4*n**2 + n**2 + 6*n**2)*((-3*n + n**2 + 3*n)*(2*n + n - n) - n**3 - 2*n**3 + 4*n**3 + 7*n**3 + 11 - 11 + n**3 - n**3 + n**3). 121*n**5 Expand (0*f**2 - 2*f**3 + 0*f**2)*(3 - 3 + f)*(-3 + 3 - 2*f)*(29 - 14 + 94). 436*f**5 Expand (-3 + 4 - 2)*(20 - 20 + 47*c) - 8 + 8 + 4*c. -43*c Expand (-56*z**3 + 56*z**3 + 11*z**4)*(4 - 2 - 1)*(6 - 17 - 2). -143*z**4 Expand (-a + a + 2*a)*(a + 4*a - 3*a) - a**2 - a**2 + 3*a**2 + (3*a - 3*a + 3*a)*(0 - 3 + 1)*(a + 6*a - 2*a). -25*a**2 Expand 712*l**2 + 21*l**4 - 712*l**2 + (3 - 1 - 5)*(-l**4 + 2*l**4 + 0*l**4). 18*l**4 Expand (0*t**5 - t**5 + 2*t**5)*(5 + 2 - 3) - 29 - 30 - 9*t**5 + 53. -5*t**5 - 6 Expand (2 + 5 - 5)*(-3 + 0 + 2)*(-16*r - 17*r + 11*r). 44*r Expand (-2 + 2 + n**3)*((0 + 1 + 0)*(0 + 0 + 2*n**2) - 35*n**2 - 131605 + 13*n + 131605). -33*n**5 + 13*n**4 Expand (-45 - 56 + 28)*(6*l**2 + 11*l**3 - 6*l**2 + (2*l + 4 - 4)*(-3 + 3 - l**2)). -657*l**3 Expand -13*a + 36 - 29 - 6 + (-2*a + 2*a + 2*a)*(-2 + 2 - 1). -15*a + 1 Expand 3*h**2 - 5*h**2 + h**2 + 0*h + 0*h - 2*h**2 + (-2*h - 1 + 1)*(2*h + h + 5*h) - 2*h**2 + 5*h**2 + h**2. -15*h**2 Expand (4*g**2 + g**2 - 3*g**2)*(-g + 3*g + 5*g)*(5 + 2 - 6). 14*g**3 Expand -33*l + 174*l**3 + 35*l - 54*l**3 + 0*l**3 - 5*l**3 + 3*l**3 + (-3*l**2 + 5*l**2 + 0*l**2)*(0*l + l + l). 122*l**3 + 2*l Expand (-2*g**2 + 130*g - 65*g - 61*g)*(-2*g + 0*g + g)*(-2*g - 4 + 4). -4*g**4 + 8*g**3 Expand 0*f + 0*f + f**4 + (0 + 2*f**2 + 0)*(f**2 + 3 - 3) + 0*f**4 - f**4 + 2*f**4 + f**4 + 2*f - 2*f - f**4 + 11*f**4 + 0*f**4 + 2*f**4 - 11*f - f - 5*f. 17*f**4 - 17*f Expand (2*h**4 - h + h)*(-6*h + 3 - 3) + (-3*h**3 + 2*h**3 + 2*h**3)*(34*h**2 - 28*h**2 + 26*h**2). 20*h**5 Expand (17 - 46*d**2 - 16 + 9*d**2)*(-2 + 2 + 1). -37*d**2 + 1 Expand (-6*v + 0*v + 5*v)*(-3 + 0 + 2)*((2 + 4 - 5)*(6 - 2 - 2) - 3 - 2 + 2 - 2 - 4 - 1). -8*v Expand 11*i**4 + 20*i**4 + 11*i**4 + 0*i**4 - 4*i**4 + 3*i**4 + (6*i**2 - 2*i**2 - 2*i**2)*(1 - 2*i**2 - 1) + i - i + 3*i**4. 40*i**4 Expand (-2 + 2 + 2)*(-347*z**2 + 396*z**2 + 555*z**2). 1208*z**2 Expand (-2 + 3 - 3)*(-182*i + 68*i - 255*i)*(-3 + 3 - i). -738*i**2 Expand (0 + 0 + 2 + (4 - 3 + 1)*(-2 + 3 - 2) + 1 - 3 + 3)*(4 - 4*r - 4). -4*r Expand 3*d**3 - 3*d**3 - d**5 + (63 - 131 + 66 + 78*d**2)*(-1 - 2*d**3 + 1). -157*d**5 + 4*d**3 Expand (-6194*b - 5919*b + 15227*b)*(2*b - 6*b + 3*b). -3114*b**2 Expand (m + 0 - 2*m - 15)*(-31*m**3 + 34*m**2 - 34*m**2). 31*m**4 + 465*m**3 Expand (1 + 3 - 2)*(58 + 61 - 42)*(-3*q - 2*q + 7*q). 308*q Expand (2 - 1 - 3 - 4 + 1 + 2 + 2 + 2 - 3 + (-2 - 2 + 3)*(0 - 3 + 1) - 4 + 4 - 1)*(-53*z - 64*z - 18*z). 135*z Expand (-k**2 - 61*k
{ "pile_set_name": "DM Mathematics" }
. 2/15 What is 14/(-6) + 2968/1344? -1/8 What is the value of ((-14)/105)/(2/(-10))? 2/3 What is (-39)/(-27) + -1 + (-5)/15? 1/9 (3 - (4 + 0))*0/2 0 What is the value of ((-102)/(-18) + -4)/((-5)/(-6))? 2 Calculate -4 + 0 + (-2 - 2). -8 (0*((-20)/(-16))/5)/1 0 Evaluate (-1)/7 - (-2816)/896. 3 What is 0 + (-75)/15 + 1/1? -4 What is ((-3)/(-30))/((-4)/8)? -1/5 Evaluate (20/6 - 3) + 7/(-3). -2 Calculate ((-9)/(-30))/(9/(-4)). -2/15 -5*((-4)/3)/((-550)/(-45)) 6/11 What is 1700/8976 + 6/(-22)? -1/12 Calculate 110/70 + -5 + 6/14. -3 ((-2)/5)/(21/15) -2/7 1002/(-180) - -4 - 70/(-50) -1/6 Evaluate (-15)/10*(-40)/(-12). -5 What is (-14)/18*(-20 + 576/28)? -4/9 What is 2 + (-7)/(84/16)? 2/3 What is (4/(-10))/(-3 + 1)? 1/5 Evaluate 1/(-9)*((-4 - -11) + -4). -1/3 What is the value of (2/(-10))/((-132)/(-660))? -1 What is the value of (-1)/(156/16 - 8/32)? -2/19 What is (-56 - -52) + (1 - -4)? 1 (-24)/35 + ((-66)/55)/(-3) -2/7 Calculate (-14)/10 - 66/110. -2 Calculate ((-24)/(-40))/(4/10). 3/2 What is the value of -1 + 1 + (-27)/((-1296)/(-64))? -4/3 What is 4 + -10 + 9 + 2? 5 Evaluate (788/(-220) - 6/(-33)) + 3. -2/5 What is -1 + -6 - ((-455)/40 - -4)? 3/8 What is the value of 3366/2035 - 20/370? 8/5 (-5 - (0 + -22)) + -10 7 What is the value of 2/84*62 - (-1)/(-7)? 4/3 What is the value of (-70)/276 + (-36)/(-414)? -1/6 Evaluate (-3*3/(-9))/((-6)/(-18)). 3 0 + (-3)/(63/28) -4/3 Calculate ((42/156)/(-7))/((-9)/36). 2/13 What is the value of -13 - -10 - 3/3? -4 What is the value of (20/24)/(20/36)*-2? -3 Evaluate (4 + 183/(-48))*4. 3/4 (-1*(-2)/6)/((-29)/(-29)) 1/3 Calculate 32/(-48) - 8/(-48). -1/2 Calculate (-132)/378 - 74/333. -4/7 Evaluate 165/(-45)*2/(-4)*6. 11 (-10)/2 + 23 + -25 + 1 -6 Evaluate 52/(-16) + (-3 - -10) + -4. -1/4 Calculate (41/10 - 4)/((-2)/(-16)). 4/5 What is the value of (42/(-119))/3 + 242/34? 7 Evaluate (4/25)/((-2)/5). -2/5 What is the value of 3*(-14)/441 + 2/3? 4/7 ((-2)/(-14) + 0)*(-14)/12 -1/6 (9 + -1)*(1022/56 + -19) -6 What is 8/(-7) - 1485/385? -5 What is -36 - -32 - (-4)/(-8)*-2? -3 What is 1/(6/54*3)? 3 ((-98)/22 - -5)/(8/44) 3 What is the value of 1/3*60/(-10)*1? -2 Calculate 18/8*(-8)/(-12). 3/2 Calculate (-42)/11 + 4 - (-16)/33. 2/3 What is (-3)/(-2) - -1 - (-6)/(-4)? 1 What is the value of (-26)/114 + 28/(-266)? -1/3 What is 24/(-14)*(-17)/(-51)? -4/7 What is 6/28 - ((-78)/(-12) + -6)? -2/7 100/(-40) + 3/2 -1 What is (-18)/(-8) - (76/(-16) + 4)? 3 Evaluate (1512/18)/14 - (1 + -4). 9 Evaluate (81/18 + 0)*2. 9 (-56)/84 + (400/102)/5 2/17 Evaluate (120/(-25) - -5) + 0. 1/5 What is the value of ((-92)/966)/(-1 + 2/3)? 2/7 What is the value of ((-204)/(-24) + -9)*1? -1/2 -3 + 1 - 4/(-2 - 2) -1 What is the value of -2 - (-5 + 9 + -7)? 1 -1 + 18/8 + 33/(-44) 1/2 What is the value of (-51)/(-21) + 10 - 13? -4/7 What is (-1*6/4)/(54/(-144))? 4 Evaluate 8/(-20)*(-15)/(-12). -1/2 Evaluate 4/14 - (-6)/(-35)*4. -2/5 2 - (2 + (-10)/4)*-4 0 What is the value of (-60)/(-50)*((-35)/2)/7? -3 What is the value of -10 - -12 - 1*4? -2 Calculate -2 - (168/(-165) - 14/77). -4/5 -12 + 6 + 36/3 6 What is (-19)/(-40) - (-45)/(-75)? -1/8 What is (-1 - -4)*2/(-3)? -2 Evaluate (-1)/(-5) + (-26)/5 + 1. -4 Calculate ((-5)/((-75)/10))/((-7)/3). -2/7 3 + -2 + (21 - 16) 6 What is 4/99 - (-2 - 20/(-9))? -2/11 (148/(-222))/((-10)/6) 2/5 Calculate 2*12*12/(-96). -3 (-4)/36*(-3 + 0)*-5 -5/3 Calculate (128/(-28) - -4)/((-6)/(-7)). -2/3 What is the value of (-46 + 48)/(4/(-6))? -3 What is the value of 9 + -23 + (17 - 7)? -4 ((-6)/4)/(-16 + 1268/80) 10 Evaluate -6 + (56/24 - (-4)/6). -3 What is the value of 33/24 - 2 - (-9)/(-24)? -1 Evaluate 2/14*(-294)/(-84). 1/2 What is the value of 4 + -3 + -3 - 0/2? -2 What is 0 - (-17)/6 - 1/(-6)? 3 Evaluate 1*5 + -1*(13 - 8). 0 Calculate -14*4/126 - 98/(-18). 5 Evaluate 14/(70/28 + (-1)/2). 7 What is the value of 1/(-3) - ((-19)/6 + 3)? -1/6 What is the value of ((-80)/(-60))/(4/(-6))? -2 What is -2*(168/32)/7? -3/2 Calculate 42/(-10) + 53/((-4770)/(-108)). -3 (3/(-9))/((-10)/(-60)) -2 Calculate (-12)/(-40) + 10/(-60). 2/15 Calculate (-6)/(-34)*22/33. 2/17 Calculate -2 + (20/(-150))/(3/(-40)). -2/9 What is the value of (3 + 7/(-2))*(-2 + 3)? -1/2 What is the value of (-1)/(-5) - 252/210? -1 Evaluate (-5 + 2)*20/24. -5/2 Calculate ((-1)/(-9))/(-5*1/(-10)). 2/9 Evaluate 14/(-3) + (-8)/14*-7. -2/3 Evaluate (((-99)/22)/(-3))/((-15)/(-100)). 10 What is the value of ((-3)/2)/((-72)/(-32))? -2/3 What is the value of (33 - 34) + (1 - -1)? 1 Calculate ((-576)/(-240))/(-2*1/5). -6 Calculate ((-6)/4)/((-60)/120). 3 What is the value of (13 - 13)/(-11) + -5 + 0? -5 Evaluate -5 - (-5 - (-9)/(-12)). 3/4 What is (5 - 75/6)*(-3)/18? 5/4 2/5 + 333/(-45) + 5 -2 Evaluate (-11)/(33/10) + 2. -4/3 8 - 2/(-5)*-10 4 (-1)/4 + ((-325)/60 - -5) -2/3 What is 1*3 + (-7)/(84/(-36))? 6 What is 3 + 5 - 3/1? 5 Evaluate 2/(-3)*24/(-104). 2/13 Evaluate 141/15 - (5 - (-207)/(-45)). 9 Evaluate (6/(-45) - (-3)/(-45))/(-2). 1/10 What is the value of (8 + (-125)/15)*-12? 4 6*(-5 + (-88)/(-24)) + 8 0 3 + 4/16*-6 3/2 (8 + -18)/20*6 -3 Calculate (-14)/(-8)*((-120)/(-42))/2. 5/2 (-330)/(-75) - (1 + 3) 2/5 Calculate 4/22 + 40/(-99). -2/9 Calculate (-20)/70 - ((-75)/(-35) + -2). -3/7 Calculate (-4 - -6)*-3 - 180/(-35). -6/7 Evaluate (-4*16/32)/((-2)/8). 8 What is ((-19)/76)/((-18)/16)? 2/9 Calculate (2 - 24/9)*(-6)/(-22). -2/11 What is the value of ((-10)/(-15))/((-20)/(-150))? 5 What is the value of (-1 - -3)/((-258)/43)? -1/3 Calculate (1/(-15))/((-8)/40). 1/3 Evaluate (-2)/(-3)*36/(-42). -4/7 What is (-6)/(-33) - (5 + -5)? 2/11 What is ((-20)/60)/(3/(-2))? 2/9 What is the value of (-111)/(-108) - 40/32? -2/9 1 + -3 - 92/(-69) -2/3 (4*2/(-40))/((-12)/(-10)) -1/6 Calculate (-3)/(45/8)*(-187)/(-748). -2/15 What is the value of 2/1*(-243)/(-162)? 3 Calculate (23 + 25/(-5))/(-2). -9 What is 161/(-35) + 24/40? -4 What is (0 + 1 + -2)*2? -2 What is 4/(-15) + (6 - (-57)/(-9))? -3/5 (-2)/36*3*2 -1/3 What is the value of (-6)/(-26) + 282/(-546)? -2/7 What is the value of (-4)/(52/13) - 8? -9 (-10 + 13)*1/9 1/3 Calculate (6 + 88/(-16))/((-4)/48). -6 What is (-3)/4 - (-341)/(-372)? -5/3 (-5)/5 - 4 - -1 -4 What is (-2)/(-2 + (-68)/(-12) + -3)? -3 Evaluate ((-12)/14)/(114/(-532)). 4 What is (-12)/260 - 2/(-10)? 2/13 What is (-3 + 228/78)*2? -2/13 2/60*-11 - 80/600 -1/2 (-1 + -1)*((-195)/(-30) + -7) 1 Evaluate 38/266 - (-4)/(-420). 2/15 Calculate (4 + -5)/1*-1 - 1. 0 What is the value of (15/(-9))/((-35)/42)? 2 What is the value of 2/(-3)*6/(5 - 3)? -2 What is (5 + -1)/4*(-2)/6? -1/3 Evaluate 1 + 5 + 185/(-40) + -1. 3/8 What is the value of 9/21 - (-153)/(-63)? -2 (8/40)/((-2)/(-10)) 1 What is 791/565*((-10)/7 - -1)? -3/5 (-1)/18 - 9*(-6)/243 1/6 What is the value of -2*(-1 + 20/8)? -3 What is (-81)/(-216)*1/(-9)*4? -1/6 Calculate 16/96 + (-69)/(-18). 4 ((-15)/70*-7)/6 1/4 Calculate (-5)/(-5)*(-4 - -5). 1 Calculate ((-2)/24*-3)/(3/12). 1 What is the value of 55/44 + (-219)/156? -2/13 Calculate (-6)/11 + (-1804)/242. -8 (-169)/260 + (-1)/(-4) -2/5 Evaluate (-174)/203 + 2 + 12/(-14). 2/7 Calculate (-3 - (-132)/45) + (-4)/(-10). 1/3 Evaluate ((-6)/3)/1*2. -4 Evaluate (-6)/((-36)/8 + 6). -4 Evaluate 2/(-2)*(-5 - -6)/1. -1 Evaluate 363/77 + 2/7. 5 Evaluate 0 - (-6)/(-15) - 8/(-10). 2/5 Calculate -2*5/(630/(-27)). 3/7 Calculate -1 + 8/10 - 1540/(-700). 2 ((-2)/(-78) - 0)/((-267)/1602) -2/13 What is 33/(-9) - 10/(-15)? -3 Calculate (-90)/135*(-2)/16. 1/12 (-45)/(-135) - ((-14)/(-6) - 0) -2 What is 4 - (0 + (-1 - -1))? 4 What is the value of 3/(3/(-13)) + (-732)/(-122)? -7 Evaluate (-2)/2 - ((-11)/8)/1. 3/8 What is (-28)/(-35)*3/(108/30)? 2/3 What is (-8)/(-10) + 96/(-160)? 1/5 Evaluate (-8 - -7)*10 - -6. -4 What is the value of 0/((-1 - -2) + (-11 - -9))? 0 What is -1*5/(-15) + -1? -2/3 Calculate 82/56 + -2 + 6/21. -1/4 What is 5670/(-19404) + (-1)/14? -4/11 10/(-45)*(2 - (12 - 4)) 4/3 Calculate 2 + (-18)/8 + 3906/3528. 6/7 5*-1*2/(-2) 5 What is the value of ((-5)/(-10))/((-5)/60)? -6 What is (-60)/9*36/(-48)? 5 What is 3*(3/(-9) + -1)? -4 What is 220/(-70)*(-21)/6? 11 -6 - (3 + (-117)/18) -5/2 Calculate (45 - 33)/(-14 - 0). -6/7 What is the value of 133/(-56) - 9/(-24)? -2 Calculate (477/(-54) - -11) + (-2)/3. 3/2 What is the value of 3/((-3)/(-7)) - -3? 10 Evaluate (10 - 12)/
{ "pile_set_name": "DM Mathematics" }
of t**4/8 - t**3 + 9*t**2/4 - 2*t - 3. Solve j(v) = 0. 1, 4 Let h be (2 - (3 - -1)) + 9. Determine k so that 5*k**4 + 9*k**5 + 3*k**4 - 3*k**3 + 9*k**3 + h*k**4 = 0. -1, -2/3, 0 Let u(c) = 5*c - 12. Let o(z) = z. Let b(i) = 6*o(i) - u(i). Let t be b(-10). Factor 1/5*v**t + 1/5 + 2/5*v. (v + 1)**2/5 Let u(a) be the second derivative of -a**7/2520 + a**4/4 - a. Let q(p) be the third derivative of u(p). Determine c so that q(c) = 0. 0 What is b in -4*b**3 - 8*b**2 - 34*b**4 - 4*b**3 - 24*b**3 - 10*b**5 = 0? -2, -1, -2/5, 0 Let c(x) = 8*x**2 + 7*x + 7. Let l(n) = n**2 + n + 1. Let v(d) = -2*c(d) + 14*l(d). Factor v(g). -2*g**2 Let n(h) be the third derivative of 0*h**3 + 0 + 1/112*h**8 + 1/70*h**7 - 1/40*h**6 + 0*h + 0*h**4 - 1/20*h**5 + 8*h**2. Factor n(y). 3*y**2*(y - 1)*(y + 1)**2 Suppose 2/7 + 2/7*p**2 - 4/7*p = 0. What is p? 1 Factor -110 + 110 - 2*w**2. -2*w**2 Let o(y) be the second derivative of 6*y**7/7 - 26*y**6/5 + 67*y**5/5 - 19*y**4 + 16*y**3 - 8*y**2 - y. Suppose o(h) = 0. Calculate h. 2/3, 1 Suppose -4*p + 7*p + 12 = 0. Let u be 2 - 1/(-2)*p. Factor -2/7*l**4 + u*l - 4/7*l**3 + 0 - 2/7*l**2. -2*l**2*(l + 1)**2/7 Let c = 3 - 2. Let r be (c/(-3))/(2/(-18)). Find a such that -3*a**r - 2*a**2 - 1 + 2*a**3 + a + 3*a**2 = 0. -1, 1 Let g(p) be the first derivative of -1/18*p**4 - 8/9*p**2 - 3 + 10/27*p**3 + 8/9*p. Suppose g(f) = 0. Calculate f. 1, 2 Suppose -4*w - v = 4*v - 38, 5*v - 50 = -5*w. Suppose 2*l + 5*g + w = 0, 2*l - 20 = 5*g + 8. Solve 6*r - 3*r**4 + 12*r**3 + 4 - l - 15*r**2 = 0 for r. 0, 1, 2 Suppose 3*j - 2*r - 8 = 0, 5*j + 0*j = -5*r - 20. Factor 0*o + 1/3*o**5 - 4/3*o**3 + 1/3*o**4 - 4/3*o**2 + j. o**2*(o - 2)*(o + 1)*(o + 2)/3 Let g be (-352)/(-330) + 2/(-5). Solve -g*d**2 - 4/3*d + 2 = 0. -3, 1 Let 0 - 48*b + 3 + 0 + 144*b**2 + 1 = 0. Calculate b. 1/6 Let d(p) be the second derivative of p**6/300 - p**4/20 + 2*p**3/15 - p**2 - 2*p. Let i(m) be the first derivative of d(m). Factor i(y). 2*(y - 1)**2*(y + 2)/5 Let h(s) be the second derivative of s**6/225 - s**5/75 - s**4/30 + 4*s**3/45 + 4*s**2/15 + 8*s. Factor h(i). 2*(i - 2)**2*(i + 1)**2/15 Let s(u) be the first derivative of -3*u**2 + 2 + 4*u + 2/3*u**3. Determine x so that s(x) = 0. 1, 2 Suppose 18*z - 21*z + 9 = 0. Let -12*g**2 + 9/2*g + 0 - 9/2*g**z = 0. Calculate g. -3, 0, 1/3 Let y be (-24)/(-10) + (-4)/10. Factor 0*l + 2*l**2 + y*l - 2*l + 2*l. 2*l*(l + 1) Let x(h) be the third derivative of -4*h**2 - 2/27*h**3 + 1/540*h**6 + 0 - 1/108*h**4 + 0*h + 1/135*h**5. Solve x(r) = 0 for r. -2, -1, 1 Let x(n) be the first derivative of 1/18*n**4 + 4/9*n - 1/3*n**2 + 0*n**3 - 8. Factor x(p). 2*(p - 1)**2*(p + 2)/9 Let y(j) = j - 14. Let a be y(14). Determine c so that 2/7*c**2 - 2/7*c + a = 0. 0, 1 Let t(g) be the second derivative of 2*g**6/15 + 2*g**5/5 - 4*g**4/3 - 16*g**3/3 + 28*g. Factor t(y). 4*y*(y - 2)*(y + 2)**2 Suppose 0*u + g + 1 = -u, -3*g = -4*u - 4. Let c = 4 + u. Factor 2 + 1/4*a**3 + 3/2*a**2 + c*a. (a + 2)**3/4 Let h be (6/(-18))/((-1)/2). Let -h + 2/3*w**2 + 2/3*w - 2/3*w**3 = 0. What is w? -1, 1 Let c(y) be the second derivative of y**5/4 - 5*y**4/4 + 5*y**3/2 - 5*y**2/2 - 20*y. Let c(w) = 0. What is w? 1 Suppose -43*i = -45*i. Let t(z) be the third derivative of 0 + i*z**3 + 0*z**4 + 3*z**2 - 1/30*z**5 + 0*z. Factor t(s). -2*s**2 Let r(q) be the third derivative of -q**9/120960 - q**8/13440 - q**7/5040 + q**5/30 + 3*q**2. Let g(h) be the third derivative of r(h). Factor g(w). -w*(w + 1)*(w + 2)/2 Let i(z) be the third derivative of z**6/40 + 3*z**5/10 + 9*z**4/8 + 2*z**2. Let i(q) = 0. Calculate q. -3, 0 Suppose 0 + 4/5*c - 2/5*c**2 = 0. What is c? 0, 2 Let s(r) be the second derivative of r**6/80 + 3*r**5/80 - r**3/8 - 3*r**2/16 + 27*r. Find i such that s(i) = 0. -1, 1 Find u such that 0 - 2/5*u**2 + 0*u = 0. 0 Let l be (9/(-6))/((-2)/4). Let n(x) be the first derivative of -2/9*x**3 + 1/6*x**4 - l + 2/3*x - 1/3*x**2. Determine y, given that n(y) = 0. -1, 1 Let a = 20 - 13. Suppose -a = 5*i + 3. Let b(y) = -2*y**2 - 2*y - 2. Let n(f) = 10*f**2 + 10*f + 11. Let j(l) = i*n(l) - 11*b(l). Factor j(k). 2*k*(k + 1) Let v(o) = 4*o**2 + o + 2. Suppose 4*p - 15 = 21. Let g(n) = 16*n**2 + 4*n + 9. Let w(y) = p*v(y) - 2*g(y). What is m in w(m) = 0? -1/4, 0 Let f be 2/(-20) + (-2)/(-4). Let p(m) be the first derivative of 8/15*m**3 - 2 + f*m + m**2. Factor p(k). 2*(k + 1)*(4*k + 1)/5 Suppose -20 = -7*d + 5*d. Let c be 6/10 - (-24)/d. Factor 0 - 1/3*u**4 - 1/3*u + 1/3*u**c + 1/3*u**2. -u*(u - 1)**2*(u + 1)/3 What is w in -2*w**2 - 4*w**2 + 2 - 4*w**3 + 0 = 0? -1, 1/2 Let n(s) = s**2 - 7*s + 8. Let t be n(6). Determine g, given that 2*g**2 + 0*g**t + g + g - 4*g = 0. 0, 1 Let p(m) be the first derivative of m**6/360 + m**5/60 + m**4/24 - 2*m**3/3 + 3. Let o(l) be the third derivative of p(l). Factor o(u). (u + 1)**2 Let z = 122/465 + 11/155. Factor -z*p**3 - 1/3*p**2 + 1/3 + 1/3*p. -(p - 1)*(p + 1)**2/3 Let s(w) be the first derivative of -w**7/21 + w**6/15 + w**5/10 - w**4/6 + w - 3. Let z(o) be the first derivative of s(o). Factor z(p). -2*p**2*(p - 1)**2*(p + 1) Let d(y) = 5*y**5 - 11*y**4 - 4*y**3 + 10*y**2 - y - 11. Let f(v) = 30*v**5 - 65*v**4 - 25*v**3 + 60*v**2 - 5*v - 65. Let o(w) = 35*d(w) - 6*f(w). Factor o(z). -5*(z - 1)**3*(z + 1)**2 Let p be -2 - (-3 + -6) - 3. Let r(i) be the second derivative of -3*i + 1/54*i**p + 0 + 0*i**3 + 0*i**2. Factor r(v). 2*v**2/9 Let v(t) be the first derivative of t**4/12 - t**2/2 + 2*t/3 - 13. Factor v(c). (c - 1)**2*(c + 2)/3 Let z(a) be the second derivative of a**6/120 - a**5/80 - a**4/48 + a**3/24 + 7*a. Determine u so that z(u) = 0. -1, 0, 1 Let u(h) be the first derivative of -h**4/16 + h**3/6 - h**2/8 + 1. Factor u(t). -t*(t - 1)**2/4 Determine v, given that 0*v**3 + 4*v**3 - 18*v**2 - 2*v**3 + 36*v + v**3 - 24 = 0. 2 Solve -1/6*g - 1/6 + 1/6*g**3 + 1/6*g**2 = 0 for g. -1, 1 Let n(s) be the first derivative of -1/6*s**3 + 2 - 1/2*s + 1/2*s**2. Factor n(u). -(u - 1)**2/2 Let p = 18 - 14. Suppose p*f - 18 = -2*g, 10 = 2*g - 0. Factor -8/7 - 6*z**f + 14*z**3 - 48/7*z. 2*(z - 1)*(7*z + 2)**2/7 Let p be -6*(-2)/12*4. Factor -j**3 + 5*j**3 + 0*j**4 - j**p - 2*j**2 - 2*j**2. -j**2*(j - 2)**2 Factor 0 - 1/7*x**2 + 1/7*x**4 + 0*x + 0*x**3. x**2*(x - 1)*(x + 1)/7 Let v(a) = 4*a**3. Let h(w) = 12*w**3 - w**2 - w + 1. Let p(c) = -4*h(c) + 11*v(c). Factor p(j). -4*(j - 1)**2*(j + 1) Let a(g) = -g**2 - 5*g - 1. Suppose -14 - 2 = -4*i, 3*i + 8 = -5*j. Let m be a(j). Determine z so that 1/3*z**m - 1/3*z + 1/3 - 1/3*z**2 = 0. -1, 1 Let d(i) = 40*i**5 + 44*i**4 - 24*i**3 - 64*i**2 - 16*i + 20. Let t(h) = h**5 - h**3 - h**2 + 1. Let o(j) = d(j) - 16*t(j). Find w, given that o(w) = 0. -1, 1/6, 1 Let p = -2/321 - -668/4173. Let w = 17/26 - p. What is f in 1/4*f**4 - w*f**3 + 0 + 0*f + 1/4*f**2 = 0? 0, 1 Solve -4/9*v**2 - 2/9*v**3 + 4/9 + 2/9*v = 0. -2, -1, 1 Suppose 2*u - 6*u = 0. Suppose -2*i + 0*i = u. Solve i*t + 4/9*t**2 + 0 - 2/3*t**3 + 2/9*t**4 = 0 for t. 0, 1, 2 Let s = -35 - -35. Let z(u) be the first derivative of -4/9*u**3 - 2 + 1/3*u**2 + s*u + 1/6*u**4. Factor z(q). 2*q*(q - 1)**2/3 Let o(s) be the second derivative of -1/30*s**4 + 1/105*s**7 + 0 + 0*s**3 - 4*s + 3/50*s**5 - 1/25*s**6 + 0*s**2. Factor o(k). 2*k**2*(k - 1)**3/5 Suppose 4*c - b - 11 = -c, 4*c + 5*b - 32 = 0. Suppose -x**c - 13 + 13 - 3*x**2 - 2*x = 0. What is x? -2, -1, 0 Factor w**5 - 37*w**4 + 38*w**4 - 5*w**2 - 2*w + 0*w**3 - 3*w**3. w*(w - 2)*(w + 1)**3 Let q(h) = 5*h**2 - 7*h + 6. Let y(n) = 4*n**2 - 6*n + 5. Let z(o) = 5*q(o) - 6*y(o). Solve z(w) = 0. -1, 0 Let v = -2 - -7. Suppose -v*b + 0*b + 10 = 0. Solve -3*r + r - r**2 + b*r = 0. 0 Suppose -5*z + 62 = 187. Let g = z - -79/3. Factor -2/3*d**2 + g + 2/3*d. -2*(d - 2)*(d + 1)/3 Suppose 40*y - 2 = 39*y. Let r(u) be the first derivative of 0*u**3 - 2 - 1/18*u**4 + 4/9*u + 1/3*u**y. Suppose r(a) = 0. Calculate a. -1, 2 Let w(r) = -r**2 - 6*r + 7. Let z be w(-7). Let v = -628/7 - -90. Solve -2/7*q**5 + v*q**3 + 0*q**4 + 0 + 0*q**2 + z*q = 0 for q. -1, 0, 1 Let n(m) be the first derivative of m**4/6 - 32*m**3/9 - 14. Factor n(y). 2*y**2*(y - 16)/3 Let v(g) be the third derivative of 2*g**7/21 + 5*g**6/24 + g**5/12 + 7*g**2. Suppose v(z) = 0. Calculate z. -1, -1/4, 0 Let v(d) be the second derivative o
{ "pile_set_name": "DM Mathematics" }
48 + 0.048. Sort 1/9, 4/7, -0.1, s in descending order. 4/7, 1/9, -0.1, s Let q = 0 + -6. Let o be (-22)/q + 4/(-6). Put -5, o, 0 in ascending order. -5, 0, o Let d be (14/(-16))/(258/8). Let c = 6/43 - d. Sort c, -2/7, -3/4 in decreasing order. c, -2/7, -3/4 Suppose 2*s - 19 = 29. Suppose 0 = 2*v + 6 - s. Let g be 1/2 - v/12. Put g, -0.5, 0.4 in decreasing order. 0.4, g, -0.5 Suppose w - 1 = 0, 0*w + w - 16 = -5*v. Suppose 3 = -3*p + 6*p. Let s(j) = j**3 + 10*j**2 + 9*j + 2. Let i be s(-9). Sort v, p, i in descending order. v, i, p Let i = 11 - 6. Let t(h) = -6 + 14 + 13 + h - 8. Let x be t(-11). Put i, x, -5 in decreasing order. i, x, -5 Let x = 7 + -6. Let r = x - 1.4. Sort r, -0.2, -1/3 in decreasing order. -0.2, -1/3, r Let a(z) = z - 5. Let w be a(5). Let k(o) = o + 13. Let q be k(-11). Suppose -v + q = -w*v. Sort -2, v, 4. -2, v, 4 Suppose 3*c - 5*l - 15 = 2*c, -3*c - 20 = -2*l. Let y = c - -7. Put y, -4, 5 in increasing order. -4, y, 5 Let g = -15 - -15. Suppose 0 = 2*x - 2*y + 2, -3*y + g = -x - 5. Suppose 2*p - 4*u + 10 = 0, 2*p + 3*u - 9 = 16. Sort x, 4, p in decreasing order. p, 4, x Let u = -4 + 2. Let t(n) = -n**3 - 6*n**2 - 7*n - 7. Suppose 5*l = l - 20. Let q be t(l). Sort q, u, -5 in ascending order. -5, u, q Let h(i) = i**2 - 7*i - 6. Let d be h(8). Sort -5, -4, 0, d. -5, -4, 0, d Let r = 8.5 - -4.7. Let i = r - 13. Sort -4, i, -1/5. -4, -1/5, i Let j(z) = z**3 - 6*z**2 + 6*z + 4. Let i be j(3). Let x = 0.08 - -4.92. Sort i, 1/2, x. i, 1/2, x Let t = -4.56 + -0.44. Let c = 3 + -2.8. Put 3, t, c in descending order. 3, c, t Suppose 4*i - 2*i + 14 = -4*q, 4*q = 0. Sort i, -5, 2. i, -5, 2 Suppose -5*h + 4*h = 0. Let y(t) = -3*t + 1. Let w be y(-3). Suppose -p + w = p. Sort p, h, -5 in increasing order. -5, h, p Let m = -2660/22321 - -2/1313. Put m, -3, 2/3 in ascending order. -3, m, 2/3 Let o(z) = -z**3 + 8*z**2 + 9*z - 1. Let l be o(9). Let c = 0 + l. Put c, 3, -3 in decreasing order. 3, c, -3 Suppose -q - 15 = 5*m, 0*m = 5*q - 4*m - 41. Sort -5, -2, q in increasing order. -5, -2, q Let p = -119 - -111. Sort -3, p, 1, -4 in increasing order. p, -4, -3, 1 Let m = -2.03 - -2. Let a = -0.03 - m. Let i be -2 - (38/(-9) + 2). Sort i, -2, a in increasing order. -2, a, i Let f(x) = -x**3 + 5*x**2 - 5*x - 1. Let j be f(4). Put -4, -1, j, 4 in descending order. 4, -1, -4, j Let f = -3 + 1. Suppose -n + 45 = 4*n. Let k be -1*((-24)/n - -2). Sort 0, k, f in descending order. k, 0, f Let s = 11.2 - 10.2. Sort 2, -0.1, -6/5, s in increasing order. -6/5, -0.1, s, 2 Suppose -6*y + 3 = -9*y. Let d = -102/763 - 1/109. Put y, -5, d in decreasing order. d, y, -5 Suppose 80 = -2*g - 2*g. Let l be g/(-75) + 2/6. Sort 5, 0, l in descending order. 5, l, 0 Let r(g) = g + 1. Let v be r(3). Suppose 5*z - 2*p = -31, -3 + 6 = -3*z - 4*p. Let f = 117 + -116. Sort f, z, v. z, f, v Let g be 22/5 - (-2)/(-5). Suppose 8 = 3*a + t, 4*t = -2*a + g*a + 4. Let l be 0 - ((-46)/(-22) - a). Sort 0, -3/7, l. -3/7, l, 0 Let z(h) = h**2 - 6*h + 6. Let q(c) = c**2 - 5*c + 5. Let v(y) = -6*q(y) + 5*z(y). Let f be v(1). Let u = -8 - -11. Sort u, f, 0 in increasing order. f, 0, u Let y = 2 - 6. Let a(m) = -3*m**3 + 16*m**2 - 3*m - 13. Let r be a(5). Put 1, r, y in descending order. 1, r, y Let s be -6 - ((-2 - -1) + 0). Let p = 5 - 5. Let w = 0 - p. Put 2/5, s, w in decreasing order. 2/5, w, s Let n = -1 + 1. Let r(x) = x**3 + x**2 - x + 1. Let b be r(n). Put -5, b, 4 in descending order. 4, b, -5 Let m = -102 + 93. Put m, 1, -1 in ascending order. m, -1, 1 Let v = 15 - 15.13. Let i = -0.07 + v. Sort i, -2/13, -1/2. -1/2, i, -2/13 Suppose -3*s = 2*g - 1, -g + 4 = 3*g + 4*s. Suppose 0 = 4*k - 4*b, -4*k = 3*b + 5 + 16. Put 3, k, g in decreasing order. 3, g, k Let t = -0.13 - 0.07. Let p = -0.02 + -0.28. Let b = p - 0. Put b, -5, t in decreasing order. t, b, -5 Let f = -0.23 + 0.33. Sort 0.3, 0.25, 0.4, f in increasing order. f, 0.25, 0.3, 0.4 Let g be ((-8)/(-48)*-3)/(1/10). Put -1, g, 11, 3 in increasing order. g, -1, 3, 11 Let l(j) = j**3 + 22*j**2 + 21*j + 5. Let w be l(-21). Let s(b) = b + 3. Let r be s(-5). Sort r, 3, w in ascending order. r, 3, w Let h = -9 - -9. Put h, 5/9, 5 in ascending order. h, 5/9, 5 Let z = -1.31 - 5.69. Sort -5, -1/2, 4, z in descending order. 4, -1/2, -5, z Suppose -a - 17 = -0*u + 5*u, 2*a + u - 2 = 0. Put a, 5, 2 in ascending order. 2, a, 5 Let f = -59 - -54. Put f, 0.2, 1.4, -4 in ascending order. f, -4, 0.2, 1.4 Suppose 14 = 3*l + 4*o, -4*o = -0*l - l - 22. Put l, 5, 0.5, 0.1 in descending order. 5, 0.5, 0.1, l Let w(h) = -h**3 + 2*h - 3. Let q be w(2). Let j = 179/350 - -3/50. Put j, -5, q in decreasing order. j, -5, q Suppose -2*c = -4*p + 16, c + 3*p - 6 = 6. Sort c, 3, 4. c, 3, 4 Let s = -14.6 - -16. Let n = 0.6 + s. Put 3/5, 0.2, n in decreasing order. n, 3/5, 0.2 Let k = 0.5 - 7.5. Let h = -7.3 - k. Sort 2/15, h, 0.2. h, 2/15, 0.2 Let z = 0.5 - 1.1. Let q = z + 3.6. Put q, -0.3, -2/11 in descending order. q, -2/11, -0.3 Let i = 0.4 - 0.7. Put -2/7, -3, i in descending order. -2/7, i, -3 Let x(a) = -a**3 + 16*a**2 - 14*a - 18. Let m be x(15). Sort 1, m, 2. m, 1, 2 Suppose -3*n = -2 - 1, -u = 5*n. Let d be u/(-25) + 26/(-5). Put d, 1, -1/6 in increasing order. d, -1/6, 1 Suppose c = -2*a + 4, 0*c - 3*c = -5*a + 10. Let w = 175/4 - 44. Sort 1/3, a, w. w, 1/3, a Suppose 3*o + 15 = 3*n - n, -4*n - 10 = 2*o. Let u be (-4)/(-8) + (-21)/(-6). Suppose 2*m - 7*m + 6 = 3*j, j = 5*m + 2. Put u, j, o in descending order. u, j, o Let y = 18 + -14. Suppose v = 4*v + 12. Put y, 0, v in descending order. y, 0, v Let h be -16*(3/2 + -2). Let r(z) = -z**2 + 7*z + 11. Let i be r(h). Suppose 4*q + 0*q + 4*k = -16, 5*q + i*k + 14 = 0. Sort 0.3, -4, q. -4, q, 0.3 Let a be 2 - (-3 + 4 + 0). Sort -3, 5, a, 4. -3, a, 4, 5 Let z be (-1)/4 - 333/(-36). Let u be (z/18)/((-1)/(-4)). Sort u, -2, 1/3 in decreasing order. u, 1/3, -2 Let h = 8.03 - 0.03. Let i = h - 5. Let g = i - 2.9. Sort 5, 1/2, g in increasing order. g, 1/2, 5 Let o(p) be the second derivative of 3/2*p**2 + 0 + 1/6*p**3 - 2*p. Let h be o(-5). Sort -5, h, -3 in increasing order. -5, -3, h Let n(d) = 3*d + 1. Let s be n(4). Suppose 2*a + s = 3. Put 4, a, 2 in ascending order. a, 2, 4 Suppose 0 = -x + 3*x + 10. Let o = x - -6. Sort 3, o, 5 in descending order. 5, 3, o Let o(s) be the first derivative of -s**2 - 3*s - 1. Let w be o(-4). Suppose 3*h + w = 20. Put h, 3, -3 in decreasing order. h, 3, -3 Let t = -12.8 + 17. Let u = t + -4. Let h = u + -0.2. Put h, -0.4, 1 in ascending order. -0.4, h, 1 Let j be 41/13 + (1 - 4). Let h = -12 + 15. Sort 1, j, h. j, 1, h Let b = 0 - -5. Let k(r) = -2*r + 1. Let f be 18/4 - 3/6. Let s be k(f). Put -1, s, b in decreasing order. b, -1, s Let j = 126 + -126. Put -4, -5, j in descending order. j, -4, -5 Let k = 61/46 + 4/23. Put 5, 4, k in decreasing order. 5, 4, k Let j = -1 - 1. Let u = -95 + 79.6. Let x = -15 - u. Sort 0, j, x in decreasing order. x, 0, j Let m = -5 + 6. Sort 4, m, 3, 25 in decreasing order. 25, 4, 3, m Suppose -18 = -t + 5*v + 4, -t - 4*v = 14. Put t, -2/3, -2 in decreasing order. t, -2/3, -2 Let a be 0 + 1 + 4/1. Sort -1, 2, a in decreasing order. a, 2, -1 Suppose k - 3 = -2*k. Let r be 1*(-3)/(-1 + 2). Let f(z) = z**2 + 5*z - 3. Let b be f(-6). Sort k, b, r in descending order. b, k, r Let q be 2*-1 - 0/1. Let i be -3*((-28)/12 + (1 - 0)). Sort 2, q, i in descending order. i, 2, q Suppose -s + 2*s + 5*f + 58 = 0, s - f + 46 = 0. Let h = -145/3 - s. Put -2/21, -3/2, h in descending order. -2/21, h, -3/2 Let r(u) = 5*u**3 - u**2 - u. Let v be r(-1). Suppose -23*f + 24*f + 4 = 0. Put f, 11, v in increasing order. v, f, 11 Suppose -2*z + 10 = -14. Let t be (-45)/z + 2*2. Sort -4, 5, t. -4, t, 5 Let j = -1 + -3. Let o = -0.5 + 0.48. Sort o, 4, j in increasing order. j, o, 4 Suppose -4 = -2*h + 3*h + 2*r, -3*h - 3*r - 6 = 0. Suppose -5*o - 2*a = -4, -2*a = -0 - 4. Suppose -q = -o*q - 2. Sort q, h, 1 in decreasing order. q, 1, h Let o be -7 - ((-5)/25 - 42/15). Sort o, 2, 5 in decreasing order. 5, 2, o Let a(l) = -l**2 - 3*l + 10. Let c be a(2). Sort -3, -4, c, 3 in descending order. 3, c, -3, -4 Let w = 33.5 + -33. Put -5, -12, 4, w in decreasing order. 4, w, -5, -12 Let k(x) = x**2 + 9*x + 22. Let m be k(-6). Put 10, m, 3 in increasing order
{ "pile_set_name": "DM Mathematics" }
*j/((j*j**5)/j))/(j*j**5*j*j*j**(1/11)*j)*((j**(-1/5))**(-43))**(-2/9) assuming j is positive. j**(-10396/495) Simplify ((y*y**(-2)*y**(2/49))/(((y*(y*y**(-6/13)*y)/y*y)/y*y)/(y*y*(((y**(-1/15)*y)/y)/y)/y*y*y)))**(-7) assuming y is positive. y**(14947/1365) Simplify (y/(y**22*y)*y*y)/(y**35/y)*(y**(-25))**17 assuming y is positive. y**(-479) Simplify ((j**5/(j/j**(-2/9)))/((j/(j/(j/j**(2/5))*j))/j*j/j**(-2)))/((j**(-2/7)*j)**(-1/4))**(-11) assuming j is positive. j**(269/1260) Simplify ((h/(h/(h/h**0)))/h*h**4)/(h**(-8)*h/(h**(4/7)*h))*((h*h**(1/5))**(-6/13))**(2/133) assuming h is positive. h**(108608/8645) Simplify (a*a**(-2/23)/a*((a*a/(a*a**1)*a*a)/a)/a*(a*a/a**3)**(13/4))**(-2) assuming a is positive. a**(307/46) Simplify ((i*i**5*i*i**(-2/9)*i*i*i)/(((i**(-8)*i)/i)/i**(2/29)))/(i**(-1/16)/(i*i/((i/i**8)/i)))**(-4) assuming i is positive. i**(-23389/1044) Simplify (c/(c**(-1)/c)*c)**47*c**3*c**(2/7)/c*(c**(-3/7)/c)/c*c*c/((c**(-1/4)/c)/c)*c**(-6)*c*c/(c/(c**7/c))*c*c assuming c is positive. c**(5463/28) Simplify ((m/((m*(m**(-9)*m)/m)/m)*m*((m/m**(1/19))/m)/m)/(m*m/((m**(1/3)*m*m)/m)*m)**(-4/17))**(13/7) assuming m is positive. m**(130247/6783) Simplify ((g*g**(-1)*g)/(g/g**(2/13)))**(-1/20)/((g/(g**(-2/3)*g*g))**(4/17))**(-18) assuming g is positive. g**(-3137/2210) Simplify (t/(t/t**5*t)*(t*t/t**(1/4)*t)/t)/(t/(t**(2/7)*t))**(-28/3)*(((t**(-1/2)/t)/t)/((t*(t/(t*t**(1/4)*t))/t*t)/t))**(4/11) assuming t is positive. t**(347/132) Simplify (((j*j**(-2/39))/j*(j**(3/19)/j*j)/j)/(j**(-24)*j**2*j))**(-4/5) assuming j is positive. j**(-59596/3705) Simplify ((v*(v/((v*v*v/(v*v*v**3))/v))/v)/v**8*((v*v/v**(1/13)*v)/v)/(v/(v*v**(-13))*v))**28 assuming v is positive. v**(-5852/13) Simplify (((i**1)**(3/7)*(i**(-2/3))**(2/75))**(-1/4))**(3/26) assuming i is positive. i**(-647/54600) Simplify ((d**(-7)*d/(d/(d*d**(1/2)*d)*d*d)*d*d)/(d/d**5*d**(1/23)*d))**47 assuming d is positive. d**(-3337/46) Simplify q*q**(-25)*q**(-30)*q**9/q**(-39) assuming q is positive. q**(-6) Simplify ((k**(2/7)/k**24)/((k/(k/(k*k**27*k)))/k*k*k*k*(k**(-6/7)/k)/k*k*k))**(-1/46) assuming k is positive. k**(377/322) Simplify (k**(-2/5)*k/(k*k/k**0))**(1/9)/(k/k**(-1)*k*k**(-4))**(-14) assuming k is positive. k**(-637/45) Simplify (m*m**(-3/7)*(m/(m*m**(2/17)))/m*m)**(-16)/(m**(-1/5)*m**(-3/4)/m*m*m**2*m**(-1)) assuming m is positive. m**(-17399/2380) Simplify ((r**(-2/5))**10)**(1/2)/((((r/r**(-2/15))/r)/r)/(r/r**(1/4))*(r**(-1/3))**0) assuming r is positive. r**(-23/60) Simplify ((x*x*x*(x/(x*x**(-2)*x))/x)/(x*x**(-3)))**(1/6)/((x**(2/21)/(x**(-6)/x))/(((x*(x/(x*((x*x**(-2/5))/x)/x))/x)/x)/x)**(-6/13)) assuming x is positive. x**(-16339/2730) Simplify (s*s/s**(-23)*s*((s/(s*s/(s*s*s*s**(-3/22)*s*s*s)))/s)/s*(s/(s*s*((s*s**(-29)*s*s)/s)/s))/(s/s**(-32)))**16 assuming s is positive. s**(4024/11) Simplify (((g/g**1*g)/g*g**(-29)/g)**(-10/7))**(3/17) assuming g is positive. g**(900/119) Simplify (k**(-1)/(k/k**6))**(9/5)/(k**3/k*k*k**(-5))**(12/7) assuming k is positive. k**(372/35) Simplify (k/k**6*k**(-1)*k*k/(k/(k*(k*k**(-3))/k))*k*k**(-6))/((k**(1/3)/(k/(k*k*k**(1/4))))/(k**0)**(-6/7)) assuming k is positive. k**(-163/12) Simplify (f**(-1))**(-19)/((f**1/f)/(f*((f*f**(2/5)*f*f)/f)/f))*(f**(2/5))**(12/7)/((f/(f**(-6)*f))/f**5) assuming f is positive. f**(738/35) Simplify (((a*a**15)/(a**2/a))/(a**(1/10)*a/a**(4/11)))**(5/3) assuming a is positive. a**(523/22) Simplify ((d*d/(d/d**(3/4))*d*d*d**(-2/7))/(d**1)**(5/8))/(d**(-3)/(d**(-4)*d))**(2/57) assuming d is positive. d**(159/56) Simplify (h**(-2/13)/((h*h**5*h)/h))**(-1)*(h*h**(2/3))**(2/47)*(h*h/(h*h*h**(-2)))**(2/37) assuming h is positive. h**(429502/67821) Simplify (((a*a/(a/(a**(-3)*a))*a)/a**5)/((a*a**2)/a**4))/((a/a**(9/5))/(a/(a*a**(-4/5))))**(1/23) assuming a is positive. a**(-452/115) Simplify (o*o*o/o**(-10)*o*o/(o**10*o))**(-35)/(((o**10*o)/o)/o**(-11))**(-24/5) assuming o is positive. o**(-196/5) Simplify (o/o**(-1/3)*o*o**6*(o*o/o**(-2/3))**43)/((o/(o/(o**1*o*o)*o)*o*o**4)/(o/(o**(-1/2)/o*o)*o*o/((o**(2/7)*o*o)/o*o))) assuming o is positive. o**(1641/14) Simplify ((s/s**(-6))/(s**(1/5)*s)*(s/s**1)/s**3)/(((s*s/(s**(2/9)/s))/s)**8/(s/(s/s**(-1/4)))**(-9/7)) assuming s is positive. s**(-13987/1260) Simplify ((g*g*g**(-2/11)/g)/g*g**(-1)*g)**33*(g**9*g*g**(1/6)*g)**40 assuming g is positive. g**(1322/3) Simplify ((l**2)**(-44/3))**18*(l**5*l**4)/(l/l**(-2/3))**(-23) assuming l is positive. l**(-1442/3) Simplify ((b**(2/11))**(-20)*b**(-10)*(b*b**(18/11))/b)**43 assuming b is positive. b**(-516) Simplify (((l/(l/(l/(l/(l/(l*(l*((l**(1/3)*l)/l)/l*l*l)/l*l)))))*l**(-1/4))**(4/11))**48)**(-4/25) assuming l is positive. l**(1984/275) Simplify ((d*d**0)**9/(d*d**1)**(-44))/(((d/d**(-7/4))/d)/(d/((d*d**(1/9))/d)))**(-1/9) assuming d is positive. d**(31459/324) Simplify (((t**(1/4)/t)**48*((((t/(t*t/(t**4*t)*t))/t*t)/t)/t*t)/((t*t/t**(-5)*t)/t*t*t))**50)**(-24) assuming t is positive. t**51600 Simplify (o**1*o**2)**0/((o/(o*o**(-1)))**(1/43))**(3/8) assuming o is positive. o**(-3/344) Simplify (((u**(1/3)*u*u**9)/(u**(-11)*u*u**0))**(-8/7))**(-24) assuming u is positive. u**(3904/7) Simplify ((p**2/p)/p)/(p/p**0)*(p*p*(p**(-5)/p)/p*p)/p**(-3/4)*(p**(-2/5)/p**4)/((p**(1/5)/p)/p**(-5)) assuming p is positive. p**(-257/20) Simplify ((m**(-2/5))**1)**(-43)/((m/m**(-2/7))**(-1/25)/(m/m**(-6)*m/(m*m**0/m))) assuming m is positive. m**(4419/175) Simplify (((s*s**(-2/3))/s)**(-16/7))**(-38)/(s*s**(-4)*s**(-4)*s**2/(s**(1/7)*s)) assuming s is positive. s**(-1087/21) Simplify ((q**(1/2)*q)**(-27))**(-8/7)*((q**(-2))**(2/29))**8 assuming q is positive. q**(9172/203) Simplify ((q**(-3/2))**36/(q**(-1/4))**(-23))**(1/4) assuming q is positive. q**(-239/16) Simplify ((a**(-2/13)*a)/a**(-2/5))/(a**1*a**(-4/9))*((a*((a/((a/a**5)/a*a))/a)/a*a)/(a*a**(-2)))**(-2/11) assuming a is positive. a**(-2576/6435) Simplify (i**(2/9)/i**8*i**(3/2)*i**(-1/12))/((i**(-2/5)/i)**(1/21)/(((i/(i*i*i/(i**(-4)/i)))/i*i)/(i**(2/3)*i))) assuming i is positive. i**(-2693/180) Simplify ((o/(o/(o**14*o*o))*o**(-21))/(o/(o*o**(-3/7)))**43)**16 assuming o is positive. o**(-2624/7) Simplify ((n**(1/4))**3)**(-1/32)*((((n*(n/(n/((n**(3/7)/n)/n)))/n)/n)/n)/(n*(n**(-4)*n)/n))/(n*(n/(n*n/(n**1/n))*n)/n*n*n**(2/11)*n) assuming n is positive. n**(-27367/9856) Simplify ((l**0)**(-25))**37*((l*l*l**0*l)/l*l)**(5/9)*l**(-3/7)*l/(l*l**(3/4)) assuming l is positive. l**(41/84) Simplify ((t**4)**45/((t/t**(-3))/t)**35)**(-5/11) assuming t is positive. t**(-375/11) Simplify ((r*r**(-4/5)*r*r*r*r**(4/3)*r)/(r**(3/8)/(r*r*r*r**4*r*r*r)))/((r**(-4)/(r**(2/9)*r))/(r**(-7)*r*r/(r**(-7)/r))) assuming r is positive. r**(8417/360) Simplify ((u*u*u**(1/2)*u)/u**(-2/15)*((u/u**3)/u)/((u/u**(3/10))/u*u))/((u/u**(-1/3))**6)**(-2/127) assuming u is positive. u**(113/1905) Simplify (((o**(-4)/o*o)/o)/(o/(o*o**(1/3)))*(o/o**(5/6))/o**(-7))/(((o*o**(-2/3))/o)**(4/15)*o**0*o*o**(-3)) assuming o is positive. o**(421/90) Simplify ((x**(-3/2)*x)/x*x)/x**(-7)*(x**(-2/3)*x)**(13/2)*(x**(-1))**(6/5)/((x**(-1/6)*x)/x*x*x*(x/x**7)/x) assuming x is positive. x**(379/30) Simplify (k*k*k**23*k*k*k*k**(-26))/(k**(-4/7))**11 assuming k is positive. k**(58/7) Simplify ((y*y/(y*y**(-6)*y))**(-26)/(y**3)**(1/11))**(-43) assuming y is positive. y**(73917/11) Simplify ((z/((z/(z**24*z))/z)*z)/z**(-21))/((z/((z/(z*z**(1/53))*z)/z)*z)/z**39) assuming z is positive. z**(4504/53) Simplify ((v*v/(v**8/v*v))/(v/v**(-1/8)))/(v**(-1/11)*v**0)*(v**1/v)**(-7/8)*(((v*v/(v*v**6*v))/v)/v)/v*v*v/v**5 assuming v is positive. v**(-1675/88) Simplify (p**(-1/4))**(-2/25)*(p*p*p*(p*p/p**6)/p)/((p/(p**(-1/3)*p))/p)*(p**(1/3)/p*p*p**4)**9 assuming p is positive. p**(5653/150) Simplify (x*x**(-2/5))**(-46)/((x*x**(5/3)*x)/(x**2*x*x))*(x**(-10)*x/x**7)**(21/2) assuming x is positive. x**(-2929/15) Simplify (x/(x/(x*(x/x**11)/x))*x*x**5*((x**(-3)/x)/x)**9)**41 assuming x is positive. x**(-2009) Simplify z**(-6/7)*z**(-1/2)*z**(-9)*z*z/z**(4/11)*z*z*z**5*z*z*z*z**(2/3)*z*(z*z*z*z**(-2/5)/z)/(z/z**(1/10)) assuming z is positive. z**(4211/1155) Simplify (f**(-2/7)/(f*f**(3/7)/f*f*f))/(f**(4/9)*f*f**(-4))*((f*f**(1/9))/f**(1/4))**(-28/5) assuming f is positive. f**(-523/105) Simplify ((((r*r**4)/r*r)/r)/r)/r**(-4/25)*(r*r/(r*r/r**(-1/
{ "pile_set_name": "DM Mathematics" }
r? True Is 20206478951 a prime number? False Is 45936654997 prime? True Is 230551679 composite? True Is 3982714727 a prime number? True Is 21096968369 a composite number? True Is 9842101 a prime number? True Is 29145720139 prime? True Is 272441753 prime? True Is 140567169241 a composite number? False Is 11158809847 a prime number? True Is 177735749027 a prime number? True Is 2741581681 prime? False Is 2222527829 composite? False Is 1175172721 a composite number? True Is 28868502713 prime? False Is 6493712873 a prime number? True Is 923484307 prime? False Is 409439183 composite? False Is 34821267821 composite? False Is 82638416837 a prime number? True Is 64879363 a composite number? False Is 1653604283 prime? True Is 15197436431 a prime number? True Is 1649252369 composite? True Is 5086462999 a composite number? True Is 491201521 prime? True Is 2590619777 prime? True Is 3126085997 a composite number? False Is 19747316519 prime? False Is 83262402473 prime? True Is 6571532537 prime? True Is 19346841937 a prime number? False Is 618687829 prime? False Is 18881678909 a prime number? False Is 2415757199 a prime number? False Is 2619873929 composite? True Is 3715347803 composite? True Is 131130437 a composite number? False Is 370881607 a prime number? False Is 608704763 composite? False Is 36036944011 composite? False Is 525486721 prime? True Is 170381137 a prime number? True Is 3566791463 composite? False Is 31780293535 composite? True Is 2128515359 a composite number? False Is 20474350939 a prime number? False Is 1568327389 prime? False Is 1414386877 prime? True Is 383131327 a prime number? False Is 2724155107 composite? True Is 74354663 prime? True Is 37133027677 a prime number? True Is 59321521 a composite number? True Is 6348775427 composite? False Is 24715067899 composite? False Is 105874734869 a composite number? False Is 22441909643 composite? False Is 3852686539 prime? False Is 67658377 a composite number? False Is 844208867 a composite number? False Is 149893123 a prime number? True Is 3225382229 a composite number? False Is 1448411 a prime number? True Is 127724556431 composite? False Is 8747847713 a composite number? True Is 18655443541 composite? True Is 47017085923 a prime number? True Is 702139141 a prime number? False Is 2645534303 prime? True Is 11600433721 prime? False Is 14005851355 a composite number? True Is 1271065161 composite? True Is 4985794309 composite? True Is 276691665577 a composite number? True Is 157989362 a prime number? False Is 22775106203 composite? False Is 37875545531 prime? False Is 2278316603 a composite number? False Is 19027011221 prime? False Is 2398471154 a prime number? False Is 103078273829 prime? True Is 1705275245 prime? False Is 58340373199 composite? True Is 46619363093 a composite number? True Is 1387753297 prime? False Is 39699795313 a prime number? True Is 17007324221 a prime number? False Is 291403249 prime? True Is 141949572685 a composite number? True Is 673739917 prime? True Is 7378040549 composite? True Is 8434172411 a composite number? True Is 8530155467 prime? False Is 79492842589 a composite number? False Is 1534917877 a prime number? True Is 1860954859 prime? True Is 12554039923 a composite number? False Is 83174401 a composite number? False Is 11034170033 a prime number? False Is 1455850459 a composite number? True Is 1201097327 composite? True Is 5545412063 prime? True Is 2127459821 a prime number? True Is 16093721879 a composite number? False Is 53425424427 composite? True Is 891043441 composite? False Is 2465219767 prime? False Is 436720253 composite? True Is 83073568339 a prime number? False Is 351170987 composite? False Is 29390685931 a composite number? True Is 6191358721 a composite number? False Is 112126547 composite? True Is 151245202198 a prime number? False Is 2592832937 composite? False Is 108545069363 a composite number? False Is 34941888337 a composite number? False Is 285836191 a composite number? False Is 53300989471 a prime number? False Is 2443954069 a composite number? False Is 4954776521 prime? True Is 10205622131 composite? True Is 5378215313 composite? False Is 2343001301 a prime number? False Is 3128061611 prime? True Is 2677497631 a prime number? True Is 62324842339 a prime number? True Is 1796270027 a composite number? False Is 10541884919 a composite number? False Is 330797913 composite? True Is 2269220717 a composite number? False Is 24715026841 a composite number? True Is 1573171349 composite? False Is 4533010171 a prime number? False Is 726254057 prime? True Is 3776630633 prime? True Is 4701337673 a prime number? False Is 394049969 composite? False Is 6373281679 composite? True Is 598238197 prime? True Is 9804810023 prime? True Is 347838067 a composite number? True Is 4878719477 a prime number? True Is 2222904193 prime? True Is 87541796873 prime? False Is 106131628343 composite? True Is 4726776641 prime? True Is 2784633971 composite? True Is 1984100477 prime? False Is 280202114077 a composite number? True Is 9019158419 prime? False Is 605426891 composite? True Is 660566237 a prime number? True Is 2753440999 prime? True Is 2354527111 composite? False Is 5085769853 composite? True Is 843994751 prime? True Is 4719955061 a prime number? False Is 187023706 composite? True Is 146703212893 a composite number? True Is 79900879 a prime number? True Is 19840708091 prime? False Is 612762197 a prime number? True Is 2584434773 a prime number? True Is 4095410063 a composite number? False Is 215646361 prime? False Is 16517588707 a prime number? False Is 92071871 composite? False Is 36902623633 composite? True Is 4599529001 a composite number? False Is 17113322441 a composite number? True Is 2785684051 composite? True Is 11823879241 prime? True Is 11351450861 a composite number? True Is 37117649189 prime? True Is 9126475343 prime? True Is 2062437605 composite? True Is 905559547 composite? False Is 17326803997 prime? True Is 6648444191 prime? True Is 728049713 a composite number? True Is 114314831 a composite number? False Is 303522013 composite? False Is 35312935733 prime? True Is 26491643533 a composite number? False Is 71701933453 composite? False Is 79830347 a prime number? True Is 5556619 a composite number? False Is 2089511461 composite? True Is 50571746497 composite? False Is 47853200657 composite? True Is 14686025041 a composite number? False Is 792792479 prime? False Is 11633634098 prime? False Is 20469005602 a prime number? False Is 1315193963 prime? True Is 1387945799 a composite number? True Is 9530090951 prime? True Is 5544810709 a prime number? False Is 651542231 a prime number? True Is 11425818181 composite? False Is 352986331 composite? True Is 806597677 a composite number? True Is 36997171385 a composite number? True Is 68161134703 a composite number? False Is 1528903967 prime? True Is 266605277 composite? False Is 44352097705 a prime number? False Is 4843470037 composite? True Is 662170279 a prime number? True Is 2132687 a composite number? True Is 8082488797 a prime number? True Is 8550342785 prime? False Is 187991539 prime? True Is 2302413187 composite? False Is 273005311 a prime number? False Is 14653745081 a prime number? True Is 8989582229 prime? False Is 855169709 prime? False Is 149776214433 composite? True Is 448271381 a composite number? False Is 4644359 composite? True Is 104565423451 a composite number? True Is 790850287 a prime number? False Is 10646063471 a prime number? False Is 3262638391 prime? True Is 2971226383 prime? False Is 3853559299 composite? False Is 7227401855 composite? True Is 298426717 a prime number? False Is 1196383171 composite? False Is 22462221437 prime? True Is 54667537961 a composite number? False Is 2550747841 a prime number? True Is 64808387 prime? False Is 1326971251 a composite number? False Is 1227784277 a prime number? False Is 48866839639 prime? True Is 171622633337 composite? False Is 23182019513 composite? True Is 545894017 prime? False Is 479060609 composite? False Is 6395273903 a prime number? False Is 49306487639 a prime number? False Is 40363900079 prime? True Is 296228819 a prime number? False Is 2221724243 a composite number? False Is 21727409227 prime? False Is 19513334063 a composite number? False Is 7
{ "pile_set_name": "DM Mathematics" }
2}. Give prob of sequence ww. 1/120 What is prob of sequence kkcc when four letters picked without replacement from kmkmkikcmmc? 1/330 What is prob of sequence ddd when three letters picked without replacement from {d: 7}? 1 Four letters picked without replacement from {k: 4, a: 2}. Give prob of sequence kakk. 2/15 Calculate prob of sequence vov when three letters picked without replacement from {v: 4, o: 2}. 1/5 What is prob of sequence mee when three letters picked without replacement from {l: 3, e: 6, r: 1, m: 2}? 1/22 Calculate prob of sequence jv when two letters picked without replacement from {e: 13, v: 3, j: 4}. 3/95 What is prob of sequence ukuk when four letters picked without replacement from ucscfufuffffckk? 1/2730 Four letters picked without replacement from wwwbbwbwbbbwbwbbbww. Give prob of sequence wwww. 21/646 Four letters picked without replacement from cqdvdzzccdfvfz. Give prob of sequence qvzd. 3/4004 Two letters picked without replacement from {l: 5, b: 3, i: 3}. Give prob of sequence bi. 9/110 Two letters picked without replacement from spssp. What is prob of sequence sp? 3/10 What is prob of sequence mad when three letters picked without replacement from {p: 1, c: 4, w: 1, d: 5, a: 7, m: 1}? 35/5814 Three letters picked without replacement from {d: 3, w: 8, l: 2, r: 2}. Give prob of sequence lld. 1/455 Two letters picked without replacement from {h: 4, e: 1, n: 4, t: 1, f: 3}. Give prob of sequence ft. 1/52 Calculate prob of sequence bbxx when four letters picked without replacement from {b: 10, x: 9}. 45/646 Three letters picked without replacement from cxfxcfffffccffc. Give prob of sequence fcx. 8/273 What is prob of sequence mre when three letters picked without replacement from femfreeemmua? 1/110 Two letters picked without replacement from {i: 1, s: 2, m: 1, y: 2}. Give prob of sequence ym. 1/15 Two letters picked without replacement from wwzduhq. Give prob of sequence hw. 1/21 Two letters picked without replacement from ttttttytbyttg. Give prob of sequence yb. 1/78 Calculate prob of sequence pl when two letters picked without replacement from lplppppplppppppp. 13/80 Calculate prob of sequence tqu when three letters picked without replacement from {u: 3, t: 1, c: 1, e: 4, i: 1, q: 2}. 1/220 Calculate prob of sequence nn when two letters picked without replacement from {n: 2, q: 1}. 1/3 What is prob of sequence zcpf when four letters picked without replacement from cbcbcbccbfffcpzc? 1/2080 What is prob of sequence obb when three letters picked without replacement from {s: 1, p: 4, b: 2, y: 2, o: 3}? 1/220 Calculate prob of sequence vf when two letters picked without replacement from {f: 12, x: 1, v: 5}. 10/51 Calculate prob of sequence ehj when three letters picked without replacement from weeeeeehhjjj. 3/110 Four letters picked without replacement from nnwwbwlbsnbjwwnnnsws. What is prob of sequence nbbj? 1/3230 What is prob of sequence rrv when three letters picked without replacement from {v: 2, r: 17}? 16/171 What is prob of sequence mcm when three letters picked without replacement from mcm? 1/3 Two letters picked without replacement from fffafaawfffwffffaffw. What is prob of sequence fa? 13/95 Two letters picked without replacement from rror. What is prob of sequence rr? 1/2 Three letters picked without replacement from {y: 3, i: 1, d: 5, m: 7}. What is prob of sequence iyy? 1/560 What is prob of sequence wv when two letters picked without replacement from vwwa? 1/6 Two letters picked without replacement from zzbbmbmbbbbbzbxbezbz. What is prob of sequence bx? 11/380 What is prob of sequence jjvp when four letters picked without replacement from {v: 2, j: 4, w: 1, p: 4}? 2/165 Four letters picked without replacement from {u: 1, z: 1, l: 3, m: 2}. What is prob of sequence zull? 1/140 What is prob of sequence ppa when three letters picked without replacement from {p: 3, h: 2, i: 3, a: 8}? 1/70 Two letters picked without replacement from gmmmimngma. Give prob of sequence in. 1/90 Three letters picked without replacement from {f: 6, n: 1, i: 6, e: 4}. Give prob of sequence ein. 1/170 What is prob of sequence lvr when three letters picked without replacement from {m: 3, c: 1, v: 6, l: 1, r: 1}? 1/220 Two letters picked without replacement from jjqiqdjiihdqcqqdi. Give prob of sequence ih. 1/68 What is prob of sequence wo when two letters picked without replacement from gogzgwogzozxggzo? 1/60 Four letters picked without replacement from iiiiiiiiii. What is prob of sequence iiii? 1 Two letters picked without replacement from {z: 4, w: 1, e: 5, h: 3}. Give prob of sequence zh. 1/13 Four letters picked without replacement from aaaaxaaaaaxaaxaaxxaa. Give prob of sequence axxa. 35/969 What is prob of sequence gqf when three letters picked without replacement from {f: 2, g: 4, q: 3}? 1/21 Four letters picked without replacement from tirriikkirkrkrw. What is prob of sequence rwir? 2/819 Calculate prob of sequence jrk when three letters picked without replacement from {r: 1, k: 2, u: 1, q: 2, d: 1, j: 2}. 1/126 What is prob of sequence hh when two letters picked without replacement from {g: 1, p: 1, t: 1, b: 1, w: 1, h: 2}? 1/21 Calculate prob of sequence uuu when three letters picked without replacement from {u: 7}. 1 Calculate prob of sequence oyyo when four letters picked without replacement from {o: 2, f: 1, y: 4, q: 1}. 1/70 Two letters picked without replacement from {f: 2, w: 2, l: 8, v: 3}. What is prob of sequence lw? 8/105 Three letters picked without replacement from {t: 5, o: 1, e: 1, q: 3, a: 2}. What is prob of sequence qte? 1/88 Calculate prob of sequence zvz when three letters picked without replacement from {v: 1, p: 1, s: 1, o: 1, z: 1}. 0 Two letters picked without replacement from rccccrryqwr. Give prob of sequence cw. 2/55 Four letters picked without replacement from zozzbozzbzbbebbezzz. What is prob of sequence zoez? 1/323 Two letters picked without replacement from aaasaasaaaaa. Give prob of sequence as. 5/33 Calculate prob of sequence oomo when four letters picked without replacement from {m: 2, h: 2, o: 9}. 42/715 Three letters picked without replacement from mjmmmmjmjmm. What is prob of sequence jjm? 8/165 Calculate prob of sequence hz when two letters picked without replacement from zzhzazrldaallzz. 1/35 Two letters picked without replacement from {b: 1, x: 7}. What is prob of sequence xb? 1/8 What is prob of sequence pkk when three letters picked without replacement from kkkkkkkkkkkkpkk? 1/15 Two letters picked without replacement from {k: 5, r: 2, s: 9, g: 2, n: 2}. Give prob of sequence rg. 1/95 Two letters picked without replacement from wwdwwydwwytwrdtte. Give prob of sequence ww. 21/136 Three letters picked without replacement from lxxlllxlzxf. Give prob of sequence xfz. 2/495 Calculate prob of sequence mpnm when four letters picked without replacement from kmmnpmmmm. 5/504 Four letters picked without replacement from {q: 4, n: 2, p: 10, x: 3}. Give prob of sequence xqnx. 1/1938 Four letters picked without replacement from kkkkhh. Give prob of sequence kkkk. 1/15 Two letters picked without replacement from xfffgfxfgxxfffxf. Give prob of sequence xx. 1/12 Two letters picked without replacement from {t: 5}. Give prob of sequence tt. 1 Three letters picked without replacement from ovoov. What is prob of sequence ovo? 1/5 Four letters picked without replacement from qqsssssssqs. What is prob of sequence qqsq? 1/165 Four letters picked without replacement from {b: 5}. Give prob of sequence bbbb. 1 What is prob of sequence ajaa when four letters picked without replacement from {a: 11, s: 4, j: 3}? 11/272 What is prob of sequence aaca when four letters picked without replacement from cccacaiaaaa? 2/33 Calculate prob of sequence aa when two letters picked without replacement from {s: 4, a: 4, m: 2}. 2/15 Three letters picked without replacement from yoyoyhyyhyoy. What is prob of sequence yyo? 21/220 What is prob of sequence aaay when four letters picked without replacement from aaaaaayaaaaa? 1/12 Two letters picked without replacement from idiipdyddpyd. What is prob of sequence yi? 1/22 Calculate prob of sequence iihp when four letters picked without replacement from iiitiihatlpptaiaalp. 5/5168 Calc
{ "pile_set_name": "DM Mathematics" }
(-6)*3/10. Let s = m - -21. Sort 1/2, s, 0.3 in ascending order. s, 0.3, 1/2 Suppose 0 = 4*c - 3*d + 24, 4*d + 2 = 18. Sort 1, c, -2, -7 in descending order. 1, -2, c, -7 Let m = 0.25 + -0.47. Let g = -0.55 - m. Put g, 4, -0.5 in descending order. 4, g, -0.5 Let j be (-6)/8*-2*4. Let l = 125.5 - 129. Let b = -0.5 - l. Sort j, b, 2/7 in decreasing order. j, b, 2/7 Suppose -5*d + 0*u = -u + 21, 4*d = u - 16. Let c be (d + 6)*(-2)/(-4). Put -1, -0.5, c in ascending order. -1, -0.5, c Let x = 1580 - 1575. Sort -1, -141, x in decreasing order. x, -1, -141 Let w be (-3)/((-27)/(-2)) - (-160)/(-900). Sort w, -1, -40 in descending order. w, -1, -40 Suppose 5*r = -12 - 3. Suppose 0 = 2*c - 8 + 2. Sort c, -4, -12, r. -12, -4, r, c Let a = 73.922 + -74. Let h = -0.078 - a. Sort h, 7, 2/3, -0.2 in decreasing order. 7, 2/3, h, -0.2 Let w be 1 + (10/2 - 2). Suppose -4*p - 39 = -47. Let i be 12/(-1 - -3) - (3 - p). Sort w, i, -3 in ascending order. -3, w, i Let x be (-4)/((-2)/(-14) - (-48)/(-42)). Put -7, 2, x in descending order. x, 2, -7 Let k(y) = 5*y**2 - y. Let d be k(-1). Suppose 2*x - c = x - d, -3*x = -2*c + 21. Sort 1, x, -5, -1 in increasing order. x, -5, -1, 1 Let d(n) = 2*n**2 + 2*n. Let v(i) = 5*i**2 + 6*i + 1. Let y(s) = -8*d(s) + 3*v(s). Let w be y(3). Suppose 18 = -3*f + 12. Sort f, -5/2, w. -5/2, f, w Suppose -4*t + 13 = 2*g - 5, -5*g = 2*t - 5. Suppose 7*r = 19 - t. Put 1, r, 0 in decreasing order. r, 1, 0 Suppose 4*s + 5*d + 0*d = -5, d + 25 = 4*s. Let f(h) = -h**3 + 6*h**2 - 3*h - 2. Let l be f(s). Sort -5, -3, 2, l in decreasing order. l, 2, -3, -5 Let i(j) = -j + 8. Let h be i(6). Let s(a) = -a + 11. Let k be s(7). Suppose -2*p - k = -2*r, -6*p = -3*p + 3. Put 5, h, r in ascending order. r, h, 5 Let o(m) = m**3 - m**2 - 9*m. Let l be o(0). Sort 4, 2, -1, l in decreasing order. 4, 2, l, -1 Let y be 6/(-24)*-4 + 3/3. Put y, -2, 1 in ascending order. -2, 1, y Let b be (0 - 0)*(-12)/(-24). Let c(k) = -k**2 - k - 2. Let t be c(b). Put 5, 0, t in ascending order. t, 0, 5 Let f be (16/168*7)/1. Put -31, 2, f in decreasing order. 2, f, -31 Let n = -72 + 82. Sort n, -3, -2/7 in ascending order. -3, -2/7, n Let s be -2 + 8/5 + (-2)/(-5). Suppose 2*n + s*j - 7 = j, -5*n = -j - 10. Put -17, -1, n in descending order. n, -1, -17 Let d = 600 + -599.9. Sort 2, 4, d, -6. -6, d, 2, 4 Let s = -61.9 + 62. Let j = 0.4 + s. Sort j, -2, 0.3, 0.1 in decreasing order. j, 0.3, 0.1, -2 Let w = -4.5 + 4.1. Let h = -5.8 - -6. Let a = 20/3 - 61/9. Put w, h, a in ascending order. w, a, h Suppose -4*q + 10 = -14. Let p be (-1 - 10/(-8))*q. Sort 3/8, p, 0.3 in descending order. p, 3/8, 0.3 Let w = 8 + -6. Let k = -62 - -63. Put w, 0.1, 4/3, k in increasing order. 0.1, k, 4/3, w Let a = -0.7 + 0.8. Let n = 76/185 - 2/185. Sort -0.1, n, -0.3, a. -0.3, -0.1, a, n Let j = -86 + 81. Put 3, -3, 3/5, j in increasing order. j, -3, 3/5, 3 Let y = -791 - -761. Sort y, -1, 0. y, -1, 0 Let j(l) = -2*l + 8. Let w(k) = -8*k + 32. Let t(b) = -9*j(b) + 2*w(b). Let h be t(5). Sort 3, -5, h in decreasing order. 3, h, -5 Let w be (1*-1)/(14 + 451/(-33)). Sort w, 92, 5. w, 5, 92 Let m = 62/13 + -64/13. Sort m, -2, -4, -2/15. -4, -2, m, -2/15 Let c(a) = -a**3 - 5*a**2 + 5*a - 2. Let d be c(-6). Put -2, -8, -5, d in decreasing order. d, -2, -5, -8 Let h be -4*(-2 + (-18)/(-12)). Sort h, -2, 3, -7 in increasing order. -7, -2, h, 3 Let t = -59 - -65.8. Let o = 6.4 - t. Let m = 2 + 2. Sort m, o, 1/2. o, 1/2, m Let y(h) = h**2 - 13*h + 4. Let u be y(13). Let k = -1 - -1. Suppose k*b = 2*b. Put -1, b, u in increasing order. -1, b, u Let q(i) = -i. Let f(g) = g + 32. Let t(l) = f(l) - q(l). Let p be t(-14). Let z be p*(-3)/(-4) + -6. Put -0.3, z, 7 in descending order. 7, -0.3, z Let o = -2384 - -2384.5. Let s be (-6)/(-5)*3/(-9). Let a(q) = -q**2 + 3*q + 2. Let p be a(4). Sort o, p, s in decreasing order. o, s, p Let d = 77 - 77.7. Let k = -0.3 + d. Put 1.6, k, 0.4, -3 in descending order. 1.6, 0.4, k, -3 Suppose -q = -3*f + 51, -q + 0*q = f + 31. Let d = q + 58. Let a be 4/(-42) + d/33. Put 2/7, a, -2 in increasing order. -2, 2/7, a Let x(b) be the second derivative of b**5/20 + 4*b**4/3 - 3*b**3 - 12*b**2 + 6*b. Let g be x(-17). Suppose -5*c - 1 = -16. Sort g, c, -1 in descending order. c, -1, g Suppose 0*h + 3*r + 2 = 2*h, 4 = 2*r. Suppose 177*y + 665 = 142*y. Put -0.5, h, y, -4 in ascending order. y, -4, -0.5, h Let m = 87 - 133. Let s = m - -46.5. Put -1/2, 4, s in increasing order. -1/2, s, 4 Suppose 0 = 5*p - 70 + 85. Sort -2, p, -48, -1. -48, p, -2, -1 Let o be (2 + 2 - (0 - -2))/2. Sort -5, o, -2, 20. -5, -2, o, 20 Let z = -556.3 - -556. Let q = 3.6 - 4. Let s be 6/(-9)*18/(-28). Sort q, z, s in decreasing order. s, z, q Let c = 969 - 972. Put 47, -4, c, 1 in descending order. 47, 1, c, -4 Let c(y) = -2*y + 8. Let x be c(6). Let r(h) = 126*h + 1884. Let z be r(-15). Sort -1, x, z in decreasing order. -1, x, z Suppose w = 3*h - 3, -4 + 8 = -4*h + 4*w. Let z be (20/(-12))/(h/6). Let j = -12 + 11.5. Put -3, j, z in descending order. j, -3, z Let h = 439 - 460. Sort 5, 4, h in decreasing order. 5, 4, h Suppose 25*g + 27685 = -24*g. Sort -5, g, 4 in increasing order. g, -5, 4 Let g be (-3 - 1) + (-1674)/(-405). Let l = 0.08 - 0.08. Sort l, -17, g in ascending order. -17, l, g Let u = -0.55 - 0.95. Let v = u + 2. Sort v, 6, -3. -3, v, 6 Let t be (0/(-2))/(4 - (-9 - -15)). Put t, 8, -5, 5 in decreasing order. 8, 5, t, -5 Let u = 732 + -2197/3. Sort u, 2/9, -13.5 in ascending order. -13.5, u, 2/9 Let q = 16 - 39. Let k = q - -25. Sort k, -1, 1/4 in ascending order. -1, 1/4, k Suppose 0 = 30*i - 29*i - 3. Let n = -1 + -4. Suppose -6*c + 3*c = -3. Sort i, n, c in descending order. i, c, n Let u = 113/371 - 1/53. Put -2/3, 0.4, u, -3/8 in ascending order. -2/3, -3/8, u, 0.4 Let s be 3/(30/(-25))*6. Let d = 17 + s. Put -3, d, 4 in decreasing order. 4, d, -3 Let j be (-242 - -10 - 4/1)/(-2). Put j, 3, -5, -4 in descending order. j, 3, -4, -5 Let b = -21 + 24. Suppose 5*x + 16 = c - b, -5*c + 2*x = -26. Sort -5, c, 1, 0 in increasing order. -5, 0, 1, c Let x(u) = -2*u**2 + 7*u + 1. Let p be x(4). Sort 3, -4, p, 15 in decreasing order. 15, 3, p, -4 Let s be (104/(-78))/(2/9). Let q(u) = -u**2 + 7*u - 3. Let c be q(7). Sort 0, c, s. s, c, 0 Let v = -53 - -49. Let x(o) = -o - 1. Let m be x(-7). Suppose -4*c = -3*p - 1, 2*p - 5*c + m - 3 = 0. Sort p, 2, v in ascending order. v, p, 2 Let g = -1258 + 1258.2. Put -5, g, 0.024 in ascending order. -5, 0.024, g Let v = -573 - -12035/21. Let n = 779/5 + -157. Let q = -2/15 + n. Sort 1/5, q, v in increasing order. q, v, 1/5 Let w(f) = f**2 - 7*f + 5. Let q(j) = j**2 - 5*j + 3. Let o(n) = -8*q(n) + 5*w(n). Let c be o(2). Sort -3/5, 4, c, 0.3 in decreasing order. 4, 0.3, -3/5, c Let k(r) = -35*r - 1. Let w be k(1). Let o(v) = 4*v**2 - 10*v + 7. Let s be o(4). Let c = w + s. Put c, 0, 5 in descending order. 5, 0, c Let y be 88/18 + 5/45. Let h = -10 + 16. Sort 2, y, h in decreasing order. h, y, 2 Let y be ((-4)/10)/((-18)/(-20)). Let g = -0.645 - -0.245. Sort y, g, 6/7. y, g, 6/7 Let h(q) = -2*q**3 + 2*q**2 - 2*q - 2. Let c be h(-2). Let l be c/10 - 2 - 0. Sort 1, -1/7, -1/11, l. -1/7, -1/11, l, 1 Let t = 4.019 - 4.019. Let b be (-2)/(-6) + 22/6. Sort t, -0.2, b in increasing order. -0.2, t, b Let i be 20/(-228)*(-2)/5. Let o be 5*10/(-700)*-4. Put -0.4, o, i in decreasing order. o, i, -0.4 Let a = 1819.94 + -1820. Put 2/3, -8, a in ascending order. -8, a, 2/3 Let p = -2.837 + 3.91. Let t = 0.073 - p. Put 0.5, -2/9, -2/7, t in descending order. 0.5, -2/9, -2/7, t Let v be (195/(-55))/3 - (-2 - -1). Let x = -0.4 + 0.46. Let t = x - -2.94. Sort v, -12, t. -12, v, t Let b = -112 - -114. Let r = 15.9 + -16. Sort 0.1, b, r in ascending order. r, 0.1, b Let z = -152 + 154. Suppose 2*v + 13 = 3*c + v, 0 = c + z*v + 5. Sort 2, -13, c in increasing order. -13, 2, c Let p(n) be the first derivative of 235*n - 2*n**2 - 1 - 225*n + 4. Let u be p(4). Sort 1, 5, u in decreasing order. 5, 1, u Suppose 0 = 20*g + 44 + 216. Sort 4, -5, g in ascending order. g, -5, 4 Suppose -72*u + 15*u = 114. Sort u, -141, 1, 4 in increasing order. -141, u, 1, 4 Let q(n) = 3*n + 30. Let x be q(-9). Suppose -4*l - 18 = -2*a, 0*l - x = l. Sort a, 0, 5 in decreasing order. 5, a, 0 Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
eger? 4 What is 3599539 to the power of 1/3, to the nearest integer? 153 What is 7709417 to the power of 1/7, to the nearest integer? 10 What is the fourth root of 9792293 to the nearest integer? 56 What is the square root of 237754 to the nearest integer? 488 What is 265932 to the power of 1/2, to the nearest integer? 516 What is 534914 to the power of 1/6, to the nearest integer? 9 What is the square root of 275618 to the nearest integer? 525 What is the seventh root of 1025802 to the nearest integer? 7 What is 264320 to the power of 1/2, to the nearest integer? 514 What is 3202215 to the power of 1/6, to the nearest integer? 12 What is 83275 to the power of 1/5, to the nearest integer? 10 What is the ninth root of 17802727 to the nearest integer? 6 What is 174321 to the power of 1/3, to the nearest integer? 56 What is 62045 to the power of 1/2, to the nearest integer? 249 What is the third root of 642085 to the nearest integer? 86 What is 28733 to the power of 1/5, to the nearest integer? 8 What is the fifth root of 6534779 to the nearest integer? 23 What is 337546 to the power of 1/7, to the nearest integer? 6 What is the square root of 9439 to the nearest integer? 97 What is 3697406 to the power of 1/2, to the nearest integer? 1923 What is the square root of 756980 to the nearest integer? 870 What is the fifth root of 1468312 to the nearest integer? 17 What is the cube root of 677863 to the nearest integer? 88 What is the ninth root of 311945 to the nearest integer? 4 What is 11325570 to the power of 1/4, to the nearest integer? 58 What is 1052980 to the power of 1/2, to the nearest integer? 1026 What is 321734 to the power of 1/6, to the nearest integer? 8 What is 10445198 to the power of 1/9, to the nearest integer? 6 What is the cube root of 5692196 to the nearest integer? 179 What is the square root of 2888650 to the nearest integer? 1700 What is the sixth root of 2057468 to the nearest integer? 11 What is 73886 to the power of 1/2, to the nearest integer? 272 What is the fifth root of 15913566 to the nearest integer? 28 What is 178764 to the power of 1/2, to the nearest integer? 423 What is the third root of 289687 to the nearest integer? 66 What is 462129 to the power of 1/2, to the nearest integer? 680 What is 7893433 to the power of 1/2, to the nearest integer? 2810 What is 14983845 to the power of 1/2, to the nearest integer? 3871 What is the square root of 8352554 to the nearest integer? 2890 What is 455652 to the power of 1/8, to the nearest integer? 5 What is 148990 to the power of 1/2, to the nearest integer? 386 What is 35563 to the power of 1/2, to the nearest integer? 189 What is 574590 to the power of 1/2, to the nearest integer? 758 What is the third root of 9833622 to the nearest integer? 214 What is the third root of 107775 to the nearest integer? 48 What is 1248596 to the power of 1/2, to the nearest integer? 1117 What is the square root of 425339 to the nearest integer? 652 What is the square root of 1042987 to the nearest integer? 1021 What is the sixth root of 1729434 to the nearest integer? 11 What is 557581 to the power of 1/4, to the nearest integer? 27 What is the cube root of 18832003 to the nearest integer? 266 What is the third root of 168279 to the nearest integer? 55 What is the square root of 14455605 to the nearest integer? 3802 What is 6796296 to the power of 1/2, to the nearest integer? 2607 What is 773620 to the power of 1/5, to the nearest integer? 15 What is the cube root of 1075798 to the nearest integer? 102 What is the square root of 69318 to the nearest integer? 263 What is the square root of 1491343 to the nearest integer? 1221 What is the fifth root of 15324153 to the nearest integer? 27 What is the ninth root of 32167639 to the nearest integer? 7 What is the cube root of 5959563 to the nearest integer? 181 What is 3578428 to the power of 1/2, to the nearest integer? 1892 What is the third root of 3242404 to the nearest integer? 148 What is the square root of 190839 to the nearest integer? 437 What is the eighth root of 6170284 to the nearest integer? 7 What is the tenth root of 206615 to the nearest integer? 3 What is the square root of 74533 to the nearest integer? 273 What is 22487960 to the power of 1/8, to the nearest integer? 8 What is 13507665 to the power of 1/6, to the nearest integer? 15 What is the sixth root of 88426 to the nearest integer? 7 What is the square root of 1808417 to the nearest integer? 1345 What is the third root of 18495237 to the nearest integer? 264 What is the square root of 200112 to the nearest integer? 447 What is 16128119 to the power of 1/6, to the nearest integer? 16 What is 5860023 to the power of 1/2, to the nearest integer? 2421 What is the cube root of 264626 to the nearest integer? 64 What is the cube root of 19316206 to the nearest integer? 268 What is 14940480 to the power of 1/2, to the nearest integer? 3865 What is the square root of 1186736 to the nearest integer? 1089 What is the square root of 12066507 to the nearest integer? 3474 What is the square root of 7904851 to the nearest integer? 2812 What is the ninth root of 5271043 to the nearest integer? 6 What is the cube root of 6925183 to the nearest integer? 191 What is the square root of 713008 to the nearest integer? 844 What is 4617094 to the power of 1/5, to the nearest integer? 22 What is 601738 to the power of 1/4, to the nearest integer? 28 What is 2558 to the power of 1/3, to the nearest integer? 14 What is 101829 to the power of 1/10, to the nearest integer? 3 What is the tenth root of 4679526 to the nearest integer? 5 What is the third root of 433134 to the nearest integer? 76 What is 2240069 to the power of 1/10, to the nearest integer? 4 What is the third root of 6157830 to the nearest integer? 183 What is 7900708 to the power of 1/2, to the nearest integer? 2811 What is the tenth root of 1062253 to the nearest integer? 4 What is the square root of 1687507 to the nearest integer? 1299 What is the third root of 2875489 to the nearest integer? 142 What is 379055 to the power of 1/4, to the nearest integer? 25 What is 9976001 to the power of 1/3, to the nearest integer? 215 What is the cube root of 158356 to the nearest integer? 54 What is 933516 to the power of 1/5, to the nearest integer? 16 What is 8166977 to the power of 1/2, to the nearest integer? 2858 What is the third root of 256438 to the nearest integer? 64 What is 5442219 to the power of 1/3, to the nearest integer? 176 What is 173621 to the power of 1/2, to the nearest integer? 417 What is the tenth root of 6255443 to the nearest integer? 5 What is 327475 to the power of 1/3, to the nearest integer? 69 What is the tenth root of 704544 to the nearest integer? 4 What is the fifth root of 3063 to the nearest integer? 5 What is 6978010 to the power of 1/3, to the nearest integer? 191 What is 5047730 to the power of 1/6, to the nearest integer? 13 What is the cube root of 31553525 to the nearest integer? 316 What is 806453 to the power of 1/4, to the nearest integer? 30 What is the cube root of 2944042 to the nearest integer? 143 What is 498121 to the power of 1/3, to the nearest integer? 79 What is the square root of 205972 to the nearest integer? 454 What is the ninth root of 17737031 to the nearest integer? 6 What is the square root of 13929134 to the nearest integer? 3732 What is the third root of 26530 to the nearest integer? 30 What is 397403 to the power of 1/2, to the nearest integer? 630 What is the tenth root of 28875295 to the nearest integer? 6 What is 5241052 to the power of 1/3, to the nearest integer? 174 What is the square root of 3066142 to the nearest integer? 1751 What is the sixth root of 8637071 to the nearest integer? 14 What is 988789 to the power of 1/2, to the nearest integer? 994 What is 1814785 to the power of 1/2, to the nearest integer? 1347 What is 871145 to the power of 1/9, to the nearest integer? 5 What is the square root of 271609 to the nearest integer? 521 What is 6784146 to the power of 1/2, to the nearest integer? 2605 What is the third root of 744409 to the nearest integer? 91 What is 5668374 to the power of 1/4, to the nearest integer? 49 What is the fourth root of 279280 to the neares
{ "pile_set_name": "DM Mathematics" }
3, m in descending order. m, -3, s Let b = -35914/5 - -2765018/385. Let k be 2 - (-8)/(704/(-296)). Let n = k - b. Put n, -0.3, -1 in increasing order. -1, n, -0.3 Suppose 10 = 5*x - 5*q + 10*q, -4*q = -3*x - 22. Suppose -2*m = c - m + 3, 1 = c + 5*m. Sort -23, x, c in descending order. x, c, -23 Let q = 0.341 - -0.059. Let r = -3.4 - -0.4. Sort r, q, 1/4 in increasing order. r, 1/4, q Suppose -5*o - 5 = 0, -o - 17 = -11*h + 7*h. Sort -4, -3, h, -12 in ascending order. -12, -4, -3, h Let g(r) = -r + 4. Let n be g(8). Let k = 95 + -93. Suppose -k*o - 2*v - 8 = 3*o, -15 = 5*o - 5*v. Sort o, n, 4. n, o, 4 Let k(z) = z**3 + 4*z**2 + 3*z + 3. Let j be k(-2). Let l be 205/2 + -3 + (-45)/(-10). Let i = l - 109. Put 2, j, i in decreasing order. j, 2, i Let j = -102.5 + 99.5. Let b be (1/3)/(2/30). Sort -5, j, 2/13, b in descending order. b, 2/13, j, -5 Suppose -64*x - 36 = -73*x. Sort 2, -8, x in decreasing order. x, 2, -8 Let r = -101 - -118. Suppose 0 = -4*z + 8 + 12, -2*s - r = -3*z. Let w be 1 + -9 + 0 - 0. Put s, w, 3 in ascending order. w, s, 3 Suppose 9*w = 14*w - 2*i - 50, 20 = 2*w - i. Suppose -4*a + 9 = -a. Suppose 8*j - w = a*j. Sort j, -2, 1. -2, 1, j Let f = -6 - -9. Let z(r) = r**2 + r + 1. Let w(j) = 5*j**2 + 4. Let b(k) = -w(k) + 6*z(k). Let d be b(0). Put d, 0, f in ascending order. 0, d, f Let b be 4134/(-4680) + (-3)/(-4). Put 17, b, -5, 5 in descending order. 17, 5, b, -5 Let f be (1 - 3 - -2) + 3. Let q be -2 + f*(-2)/(-18). Put q, -7, -4 in increasing order. -7, -4, q Let n be (-1)/(-3)*(-1)/(-3). Let o = -0.11 - 173.89. Let j = 179 + o. Put j, n, -2/9 in decreasing order. j, n, -2/9 Let n = -5.5 - -5.83. Let k = n + -0.63. Sort k, -2/7, 0.09 in decreasing order. 0.09, -2/7, k Let o = -357 - -217. Let r be 2/8 + (-441)/o + -3. Sort -1/3, r, -2 in increasing order. -2, -1/3, r Let t(y) = 2*y + 1. Let v be t(0). Suppose i + p + v = -1, 2*i + 3*p + 4 = 0. Sort 1, 11, i in increasing order. i, 1, 11 Let v = -253 - -253. Sort -4, -2, v in decreasing order. v, -2, -4 Let i be (-7)/4 + (-21)/84. Sort -0.5, -4, i in decreasing order. -0.5, i, -4 Let c = 1.207 + -0.707. Sort 14, c, -0.5. -0.5, c, 14 Suppose -3*q + 40 + 26 = 0. Suppose 10 + 10 = 5*x - l, 2*l = 4*x - q. Let k be (-2)/x*(-6)/(-20). Put -1/3, k, -1/2 in decreasing order. k, -1/3, -1/2 Let a = -2.7 - 1.3. Let t = -1.8 + 0.9. Let s = -0.9 - t. Sort s, a, -5 in decreasing order. s, a, -5 Let y(h) = -h**2 - 12*h - 20. Let j be y(-2). Put 4, 20, j in descending order. 20, 4, j Let i be (-105)/54*-1 + 9/(-6). Sort -2/9, i, -4 in decreasing order. i, -2/9, -4 Suppose -2*o = -o - 7. Suppose 0 = o*v - 8*v + 34. Let z = v - 31. Sort 0, 6, z in ascending order. 0, z, 6 Suppose -o + 5*t = o + 10, o + t - 2 = 0. Suppose o = -2*f + 5 + 3. Sort 2/21, 5, f in increasing order. 2/21, f, 5 Let f be (-4 - -6)/(-4) - (-9)/2. Sort 5, 2, f, 23 in ascending order. 2, f, 5, 23 Let r(k) = k**2 + 11*k. Let q be r(-12). Let v be -10*(-3 + 39/q)*2. Put v, -0.2, 2/3, 0 in increasing order. v, -0.2, 0, 2/3 Let k = -905/44 - -240/11. Sort k, -19, -0.1, -4 in increasing order. -19, -4, -0.1, k Let f = -217.4 + 245. Let y = 0.68 - 28.68. Let v = y + f. Sort -1/5, 0, v in decreasing order. 0, -1/5, v Let d = -332 + 333. Put -0.5, 0.16, d in ascending order. -0.5, 0.16, d Let l(w) = -70*w - 1 - w**2 + 64*w + 8. Let g be l(-7). Suppose g*b = -5*b + 10. Put b, -6/11, 2/9 in increasing order. -6/11, 2/9, b Let t = -87 - -80. Let p = 0 + 1. Sort t, p, -0.4 in decreasing order. p, -0.4, t Let y(q) be the first derivative of -3*q**2/2 - 12*q - 6. Let i be y(-5). Suppose -3*s + 0*s = 0. Sort s, 2, i in decreasing order. i, 2, s Let t = -0.2535 + 1.2535. Sort -0.1, t, -35 in decreasing order. t, -0.1, -35 Suppose 0 = -3*b + t - 29, -b + 5*t - 18 = 3*t. Let v(g) = 9*g - 82. Let q be v(9). Sort b, 0, q in decreasing order. 0, q, b Let n = 2.53 + -6.53. Put 14, n, 6 in decreasing order. 14, 6, n Let w = 0.319 - 0.238. Sort 1, w, 5 in ascending order. w, 1, 5 Suppose 4*c - 124 = -40. Put 1, -2, c in decreasing order. c, 1, -2 Let v = 1.278 - 1.078. Put -3, v, 4, 2/7 in decreasing order. 4, 2/7, v, -3 Let z = 91 - 88. Put -4, z, -12 in increasing order. -12, -4, z Suppose 3*w + 4*l - 48 = -0*w, -w = 5*l - 27. Suppose -18*c = -24*c - w. Sort -5, c, 5, 1 in descending order. 5, 1, c, -5 Suppose t = -t + 186. Let w = -57 + t. Let c be -4 + 0 + 152/w. Put c, 1, -4 in descending order. 1, c, -4 Suppose -k - 12 = -5*c, -4*k - 3*c - 3 = -1. Let f be (4 + 0 - 9)/1. Put k, f, 5, 0 in ascending order. f, k, 0, 5 Let g = -54.21 - -54. Let h = 0.021 + -0.211. Let m = h + g. Sort 0, -1, m in increasing order. -1, m, 0 Let v = 1016 - 1015.5. Let b = 1129/3 + -361. Let y = -15 + b. Sort v, y, -5 in descending order. v, y, -5 Let g = 80.6 + -107.6. Put 1, 0.5, g, 2 in decreasing order. 2, 1, 0.5, g Suppose 2 = 4*i - 10. Let g be 2 + (-1 - 1) - i. Suppose -6*a = -9*a + 12. Put g, 13, a in ascending order. g, a, 13 Let m be 4/(-3) + (-34)/51. Put m, -4, -3/8, -3 in increasing order. -4, -3, m, -3/8 Let x(g) = -g**3 - 6*g**2 - 4. Let i be x(-6). Put i, 0, -1, 4 in decreasing order. 4, 0, -1, i Let d(h) = h**3 + 4*h**2 - 7*h - 7. Let s be d(-5). Suppose 2*o = 5*o + 5*k - s, -o + k + 1 = 0. Put 0, 3, o, -4 in decreasing order. 3, o, 0, -4 Let l = 40 - 44. Suppose 0 = 5*v + 2*i + 2*i + 8, -v + 8 = 4*i. Let t = 2 + v. Sort t, l, 1 in descending order. 1, t, l Let c = 196 + -201. Put c, -0.4, 1, -2/9 in increasing order. c, -0.4, -2/9, 1 Let x = -21 + 27. Put 4, 0, x, 3 in decreasing order. x, 4, 3, 0 Let i(x) = -4*x + 31. Let j be i(9). Let r = 10 - 7. Sort r, j, 5 in decreasing order. 5, r, j Let p be 666/185 - (4 - 0). Sort -0.78, 1, p in decreasing order. 1, p, -0.78 Let g = 1918 + -1916.6. Sort 0.1, -4, g, -1/12 in descending order. g, 0.1, -1/12, -4 Let z = -714 - -753. Put z, -2, 4, 5 in decreasing order. z, 5, 4, -2 Let a be 29/3 + 8/24. Let h be (a/6 - 1)*1. Let n = -0.07 - 0.23. Put h, n, -0.4 in decreasing order. h, n, -0.4 Let s = -24.3 + 24.7. Put -4, s, -2/5 in decreasing order. s, -2/5, -4 Let z be -9 - -1 - (-4 + -1). Suppose -3*y + 5 = 4*v, 2*v = y + 3*v - 1. Sort y, z, -2, -4 in decreasing order. y, -2, z, -4 Suppose 0 = 6*d - 483 + 207. Put d, -5, 5, 2 in decreasing order. d, 5, 2, -5 Let j = -1.2 - -3.2. Let d = -0.3 + 1.3. Let y = j - d. Put -5, -0.5, y in ascending order. -5, -0.5, y Let n = -6 + 8. Suppose 14*v - 9*v - 25 = 0. Sort -1, v, n, -2 in ascending order. -2, -1, n, v Let g(h) = -h - 59. Let f be g(-52). Sort f, -2, 26 in ascending order. f, -2, 26 Suppose -3*b + 27 = -6*a + 3*a, 2*a + 60 = 5*b. Put b, 1, 4 in decreasing order. b, 4, 1 Suppose 2*h + 4*t - 68 = 0, 3*h - 7*h + 112 = 2*t. Sort -3, h, 1 in descending order. h, 1, -3 Let q be -10*1*(-1 + 3)/2. Sort -1, q, 0. q, -1, 0 Let b(z) = 4*z - 3. Let d be b(2). Let j be (108 - 105)/(2/8 - 7/4). Sort j, 61, d in descending order. 61, d, j Let n be ((-1)/3)/((-2)/6). Suppose -4*f - 16 = 5*u, 4*u = u. Sort 4, -3, n, f in decreasing order. 4, n, -3, f Let n = 20.4 + -21.8. Sort n, 1/2, -2/5, 0.4. n, -2/5, 0.4, 1/2 Let a be -2*-1*(-2)/4. Let y(j) = -j**3 + 2*j + 1. Let o be y(a). Suppose 0 = x - o + 4. Put 1, 4, x in increasing order. x, 1, 4 Let f = -0.52 + -5.08. Let g = f - -6. Let w be 6*(-1)/(-10)*-1. Sort w, g, 0.1 in descending order. g, 0.1, w Let z = 0 - -1. Let r be 5 - z*(-3 - (-2 - 3)). Sort 4, 2, r. 2, r, 4 Let b = 9 + -12. Let z = b + 5. Let j be (-2 - 18/(-14)) + 1. Sort z, j, 0. 0, j, z Suppose -5*h - 4 = -h. Suppose 0*m = -m + 2. Sort m, -5, h in descending order. m, h, -5 Let d = -7 - 1. Let l = d + 6. Suppose 1241*u = 1246*u. Sort u, 3, l in descending order. 3, u, l Let n be 3 + 0 + (-2 - 0). Let k = -392 + 276. Let x = k + 121. Put x, 8, n in increasing order. n, x, 8 Let m = -4 - -6. Let j = m - 7. Let a = 65 - 133/2. Sort a, j, 0 in decreasing order. 0, a, j Let i = 9/5 + -17/15. Let n = -0.1 - -4.1. Sort -1, i, n in descending order. n, i, -1 Suppose 4*k - 2*k - 6 = 0. Let d be 1 + (3 - (k + -3)). Let x be -2 + (-1 - (-1 - 0)). Sort 5, x, d. x, d, 5 Suppose 31*a = 25*a + 12. Sort 9, a, -2. -2, a, 9 Let c = 5 + -3. Let q(j) = -3*j**3 - 6*j**2 + 25*j + 47. Let i be q(-3). Sort i, c, 6 in ascending order. i, c, 6 Suppose -5*u - 10 = 5*y, 4*u
{ "pile_set_name": "DM Mathematics" }
replacement from ssq. 1/3 Three letters picked without replacement from {t: 1, h: 2, l: 6, j: 2, v: 3}. Give prob of sequence jlt. 1/182 What is prob of sequence xx when two letters picked without replacement from {x: 8, d: 1, g: 1, j: 6}? 7/30 What is prob of sequence kjk when three letters picked without replacement from ktbbkbtkbjj? 2/165 Calculate prob of sequence nxvp when four letters picked without replacement from pvnuxuh. 1/840 What is prob of sequence qqv when three letters picked without replacement from ziwwqvzwwiwqwzwww? 1/2040 Calculate prob of sequence nr when two letters picked without replacement from nnnnrnnnrnn. 9/55 Calculate prob of sequence tw when two letters picked without replacement from {t: 4, w: 16}. 16/95 Three letters picked without replacement from tttttnntnntnee. Give prob of sequence nnn. 5/182 Four letters picked without replacement from wwkwwkkkkwkk. Give prob of sequence kkwk. 35/396 Calculate prob of sequence ba when two letters picked without replacement from {b: 2, r: 3, a: 1, w: 2, x: 6}. 1/91 What is prob of sequence gw when two letters picked without replacement from {n: 1, p: 2, w: 2, g: 1, f: 2}? 1/28 What is prob of sequence gt when two letters picked without replacement from ttgggtgtgtgtgggggg? 4/17 What is prob of sequence kc when two letters picked without replacement from {q: 1, c: 1, p: 1, k: 1, f: 2, s: 1}? 1/42 Four letters picked without replacement from {x: 9, y: 5, l: 2}. Give prob of sequence xyyl. 3/364 Calculate prob of sequence tqyw when four letters picked without replacement from {d: 2, z: 1, w: 1, q: 1, y: 2, t: 2}. 1/756 Two letters picked without replacement from flyfllfzppuz. Give prob of sequence lf. 3/44 What is prob of sequence lm when two letters picked without replacement from {m: 2, l: 10}? 5/33 Four letters picked without replacement from xexexel. Give prob of sequence xeel. 3/140 Three letters picked without replacement from {p: 5, l: 4, v: 3}. Give prob of sequence vvl. 1/55 Calculate prob of sequence mx when two letters picked without replacement from {m: 5, j: 8, x: 2}. 1/21 What is prob of sequence bwoo when four letters picked without replacement from {b: 1, u: 3, o: 2, w: 1}? 1/420 Four letters picked without replacement from lgguvllll. What is prob of sequence gull? 5/378 Calculate prob of sequence fhf when three letters picked without replacement from hhhhhhfhphphhfff. 1/28 Three letters picked without replacement from ewftjejetttetttettft. What is prob of sequence fjt? 1/171 Three letters picked without replacement from dvdsjvggdgd. What is prob of sequence dvs? 4/495 What is prob of sequence ff when two letters picked without replacement from {o: 5, f: 2}? 1/21 Four letters picked without replacement from ppppp. What is prob of sequence pppp? 1 Two letters picked without replacement from iieiiieeieime. Give prob of sequence mi. 7/156 Two letters picked without replacement from {s: 5, g: 1, b: 3, p: 2, y: 1}. Give prob of sequence bg. 1/44 Calculate prob of sequence dd when two letters picked without replacement from {d: 5, g: 3}. 5/14 Four letters picked without replacement from {x: 2, i: 2, v: 6, t: 5, k: 1}. Give prob of sequence tvvx. 5/728 Four letters picked without replacement from {e: 7, m: 4}. Give prob of sequence mmem. 7/330 Calculate prob of sequence xg when two letters picked without replacement from {s: 15, x: 2, g: 3}. 3/190 Calculate prob of sequence cc when two letters picked without replacement from ccclccccclcclccc. 13/20 Two letters picked without replacement from gxdgddssdgggdddgggdd. What is prob of sequence gs? 4/95 What is prob of sequence tgy when three letters picked without replacement from ytggdggt? 1/42 What is prob of sequence pp when two letters picked without replacement from {t: 2, p: 2, u: 2, c: 8, f: 2, j: 1}? 1/136 Two letters picked without replacement from cmvvs. What is prob of sequence vm? 1/10 Calculate prob of sequence cn when two letters picked without replacement from nsssssdssnssmdcyys. 1/153 Two letters picked without replacement from cddddcdcdjjcjjjd. What is prob of sequence dd? 7/40 Two letters picked without replacement from vpqqr. What is prob of sequence qv? 1/10 Two letters picked without replacement from {t: 4, b: 2, q: 3}. Give prob of sequence bq. 1/12 Calculate prob of sequence jp when two letters picked without replacement from jrprpg. 1/15 Two letters picked without replacement from fthhhfhhf. What is prob of sequence hf? 5/24 Calculate prob of sequence ccv when three letters picked without replacement from cccccvcccvvvcc. 15/91 Three letters picked without replacement from {u: 3, e: 1, n: 1, c: 2, y: 8, d: 2}. Give prob of sequence udn. 1/680 What is prob of sequence tll when three letters picked without replacement from tllllllt? 5/28 Calculate prob of sequence jk when two letters picked without replacement from jvkvjk. 2/15 What is prob of sequence re when two letters picked without replacement from vwwrwxewwr? 1/45 What is prob of sequence kkb when three letters picked without replacement from {t: 1, b: 1, k: 2}? 1/12 Calculate prob of sequence fc when two letters picked without replacement from {p: 1, u: 1, f: 1, c: 1, t: 1}. 1/20 Calculate prob of sequence dgv when three letters picked without replacement from mmvmgdvvgdmdm. 3/286 What is prob of sequence ss when two letters picked without replacement from zzhjzzjrszjsszjr? 1/40 Calculate prob of sequence cq when two letters picked without replacement from lmcvcqvwcmv. 3/110 Two letters picked without replacement from {l: 12, n: 2, i: 1, m: 1, j: 2}. What is prob of sequence ji? 1/153 Four letters picked without replacement from {a: 4, k: 3}. What is prob of sequence aaaa? 1/35 What is prob of sequence wwu when three letters picked without replacement from wwfwoluwfnoo? 1/110 What is prob of sequence uuuu when four letters picked without replacement from {u: 10}? 1 Four letters picked without replacement from fcfccmfeemfbfflfflce. Give prob of sequence eeff. 14/4845 Three letters picked without replacement from wgggutwtggtggtg. Give prob of sequence twu. 4/1365 Four letters picked without replacement from {t: 3, b: 2}. What is prob of sequence tbtt? 1/10 Calculate prob of sequence zza when three letters picked without replacement from yxdzzyfayza. 2/165 What is prob of sequence li when two letters picked without replacement from loiuouq? 1/42 Four letters picked without replacement from afkffffffffka. Give prob of sequence faak. 3/1430 What is prob of sequence knn when three letters picked without replacement from knnqqnnqqlqn? 1/66 Calculate prob of sequence wh when two letters picked without replacement from {h: 2, w: 4, y: 8}. 4/91 What is prob of sequence qcjl when four letters picked without replacement from ajleccq? 1/420 Three letters picked without replacement from bbisvsmhh. Give prob of sequence sbi. 1/126 Calculate prob of sequence uv when two letters picked without replacement from {u: 1, x: 1, r: 3, v: 2}. 1/21 Three letters picked without replacement from wwwwwiwwwwiww. What is prob of sequence wii? 1/78 Calculate prob of sequence ohw when three letters picked without replacement from hwo. 1/6 Two letters picked without replacement from xxdrxbxh. What is prob of sequence db? 1/56 Two letters picked without replacement from ncnbnennnnneiaiecn. What is prob of sequence an? 1/34 Calculate prob of sequence slk when three letters picked without replacement from {i: 4, k: 1, m: 2, s: 3, w: 4, l: 3}. 3/1360 Four letters picked without replacement from {h: 3, t: 3, l: 7, c: 2}. What is prob of sequence lccl? 1/390 What is prob of sequence ud when two letters picked without replacement from kkxxkddduxkkxdxdkk? 5/306 What is prob of sequence pmm when three letters picked without replacement from ppmppppmmppppppp? 13/560 Two letters picked without replacement from {f: 1, a: 1, u: 4, b: 1, t: 1, l: 5}. Give prob of sequence ub. 1/39 Four letters picked without replacement from whwzzzwzhzzhwz. Give prob of sequence zwhw. 3/286 Four letters picked without replacement from {v: 1, h: 1, s: 1, d: 4, q: 1}. Give prob of sequence ddvs. 1/140 Calculate prob of sequence ij when two letters picked without replacement from tjtgtjigi. 1/18 What is prob
{ "pile_set_name": "DM Mathematics" }
replacement from {g: 5, v: 7, l: 8}. What is prob of picking 1 g and 2 l? 7/57 What is prob of picking 1 q and 1 o when two letters picked without replacement from ejjqqoeeeoeeeeooo? 5/68 Two letters picked without replacement from {i: 1, b: 1, r: 1, o: 2, e: 2}. Give prob of picking 1 i and 1 r. 1/21 Three letters picked without replacement from cqqpcccccspclcsqsc. Give prob of picking 2 s and 1 q. 3/272 What is prob of picking 3 b and 1 o when four letters picked without replacement from oobobboboooooboooooo? 10/323 Four letters picked without replacement from okfqkookyqokkffqoo. Give prob of picking 2 f, 1 y, and 1 k. 1/204 Calculate prob of picking 1 c and 2 e when three letters picked without replacement from {e: 4, o: 8, c: 8}. 4/95 Two letters picked without replacement from {y: 2, u: 2, g: 1}. Give prob of picking 1 y and 1 u. 2/5 Calculate prob of picking 3 m when three letters picked without replacement from mhmmmmmmmhmmm. 15/26 What is prob of picking 1 c and 1 e when two letters picked without replacement from {c: 1, y: 2, v: 1, z: 1, e: 1, k: 1}? 1/21 Two letters picked without replacement from uuvvtjuzju. Give prob of picking 2 u. 2/15 Calculate prob of picking 2 j and 1 z when three letters picked without replacement from {z: 1, i: 1, j: 2, d: 1, w: 2}. 1/35 What is prob of picking 1 a and 2 g when three letters picked without replacement from {g: 3, t: 6, a: 6}? 18/455 Calculate prob of picking 1 u and 2 g when three letters picked without replacement from {g: 1, u: 2}. 0 What is prob of picking 1 n, 1 j, and 2 w when four letters picked without replacement from {j: 2, h: 3, w: 5, n: 1, a: 6}? 1/119 Two letters picked without replacement from soso. What is prob of picking 1 s and 1 o? 2/3 What is prob of picking 2 o and 1 m when three letters picked without replacement from {o: 2, m: 1, k: 4}? 1/35 Two letters picked without replacement from {g: 9, i: 5, h: 2}. Give prob of picking 1 g and 1 i. 3/8 What is prob of picking 2 f when two letters picked without replacement from ffff? 1 What is prob of picking 1 q and 2 x when three letters picked without replacement from bsxxuqnn? 1/56 Three letters picked without replacement from {r: 2, f: 1, h: 2, i: 1, s: 1}. Give prob of picking 1 i, 1 r, and 1 s. 2/35 What is prob of picking 2 a when two letters picked without replacement from {v: 2, c: 1, a: 3, p: 4}? 1/15 Two letters picked without replacement from {m: 1, a: 2, y: 2, z: 5, x: 10}. Give prob of picking 2 a. 1/190 Four letters picked without replacement from {p: 5, h: 2, o: 4}. Give prob of picking 2 o and 2 p. 2/11 What is prob of picking 1 v and 1 x when two letters picked without replacement from xvvvxvvvvvv? 18/55 Four letters picked without replacement from kdqlkkqfdqdkdkfkqk. What is prob of picking 1 q, 2 d, and 1 l? 2/255 Calculate prob of picking 1 r, 1 z, and 1 y when three letters picked without replacement from {r: 1, v: 1, b: 1, y: 1, z: 1}. 1/10 Four letters picked without replacement from rkar. What is prob of picking 2 a and 2 r? 0 Four letters picked without replacement from immmimimii. What is prob of picking 1 i and 3 m? 5/21 Four letters picked without replacement from {v: 2, m: 7, h: 2, f: 1, y: 4}. What is prob of picking 2 v, 1 m, and 1 y? 1/65 Calculate prob of picking 3 z when three letters picked without replacement from qjzkqqw. 0 Two letters picked without replacement from xxxxcccwbbccwwbxxcxc. What is prob of picking 1 c and 1 b? 21/190 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from llpmlmlqy. 1/36 Calculate prob of picking 1 w, 1 b, and 1 h when three letters picked without replacement from whhbibzc. 1/14 Two letters picked without replacement from duubuuluidub. What is prob of picking 2 d? 1/66 Calculate prob of picking 1 a and 2 s when three letters picked without replacement from sspaasaasaappapsap. 5/51 Three letters picked without replacement from ooobhhnhibznn. What is prob of picking 2 b and 1 z? 1/286 Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {d: 4, i: 1, c: 1, n: 1, p: 2, k: 6}. 8/35 Two letters picked without replacement from aaaapppjjpfapataa. Give prob of picking 1 t and 1 f. 1/136 Four letters picked without replacement from {k: 1, o: 1, m: 1, s: 2, b: 2, j: 2}. Give prob of picking 1 k, 1 s, and 2 b. 1/63 Four letters picked without replacement from {z: 8, y: 5}. What is prob of picking 2 z and 2 y? 56/143 What is prob of picking 2 m when two letters picked without replacement from {u: 2, m: 8}? 28/45 Three letters picked without replacement from eeojoomoewee. What is prob of picking 1 j, 1 o, and 1 m? 1/55 What is prob of picking 1 j and 1 p when two letters picked without replacement from {h: 11, p: 1, j: 2}? 2/91 Calculate prob of picking 1 z, 1 u, 1 e, and 1 x when four letters picked without replacement from {z: 3, e: 3, m: 2, x: 3, t: 1, u: 1}. 27/715 What is prob of picking 3 h and 1 u when four letters picked without replacement from uuhuhhuuhuu? 14/165 Four letters picked without replacement from {q: 2, k: 2, m: 2, e: 1, f: 5, h: 1}. Give prob of picking 4 f. 1/143 Three letters picked without replacement from {b: 1, z: 2, d: 1, h: 2}. What is prob of picking 2 h and 1 z? 1/10 Calculate prob of picking 1 v, 1 q, and 1 i when three letters picked without replacement from {q: 2, i: 2, t: 2, v: 4}. 2/15 Three letters picked without replacement from {a: 3, m: 2, s: 1, u: 5, l: 1}. Give prob of picking 1 l, 1 u, and 1 s. 1/44 Calculate prob of picking 1 k and 3 a when four letters picked without replacement from kksuaauuaus. 1/165 What is prob of picking 1 s and 1 u when two letters picked without replacement from {u: 6, s: 12}? 8/17 Four letters picked without replacement from uxxuuuuxuxuxxxxuux. What is prob of picking 2 x and 2 u? 36/85 What is prob of picking 2 e when two letters picked without replacement from wyywmwywwyeyywyweywy? 1/190 Two letters picked without replacement from dbdy. Give prob of picking 1 b and 1 y. 1/6 Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {m: 2, d: 2}. 2/3 Calculate prob of picking 2 z and 1 k when three letters picked without replacement from {k: 6, z: 2}. 3/28 Two letters picked without replacement from {w: 8, j: 2, f: 4, h: 1}. Give prob of picking 1 w and 1 h. 8/105 What is prob of picking 1 y and 1 o when two letters picked without replacement from oogy? 1/3 Two letters picked without replacement from {n: 3, o: 5}. What is prob of picking 2 o? 5/14 Three letters picked without replacement from jveeidiw. Give prob of picking 1 i, 1 w, and 1 j. 1/28 What is prob of picking 3 g when three letters picked without replacement from {c: 4, g: 6}? 1/6 Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {i: 1, y: 1, q: 1, v: 1, r: 1}. 1/10 Two letters picked without replacement from {x: 1, c: 3, w: 10, o: 1}. Give prob of picking 1 w and 1 x. 2/21 What is prob of picking 1 b and 1 e when two letters picked without replacement from {e: 1, r: 3, b: 8, j: 1, m: 2, d: 1}? 1/15 What is prob of picking 4 n when four letters picked without replacement from {n: 7, x: 1}? 1/2 What is prob of picking 1 n and 3 i when four letters picked without replacement from bnibiiibinb? 2/33 Four letters picked without replacement from tctcccccctcccctt. What is prob of picking 4 t? 1/364 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from atosnnooannzzs. 8/91 What is prob of picking 1 v and 2 w when three letters picked without replacement from vvnvwvwvwwnnvwnwvwvn? 14/95 Calculate prob of picking 1 f and 2 b when three letters picked without replacement from {d: 3, b: 2, f: 4}. 1/21 What is prob of picking 1 u, 1 m, and 1 i when three letters picked without replacement from {x: 3, e: 4, m: 1, i: 4, u: 1}? 2/143 Two letters picked without replacement from {j: 1, s: 1, e: 1, g: 1, o: 2, u: 2}. Give prob of picking 1 s and 1 j. 1/28 Calculate prob of picking 2 h and 2 y when four letters picked without replacement from hyyyyhyyyyhyhhyyhy. 11/34 Four letters picked without replacement from {c: 2, w: 9}. Give prob of picking 3 w and 1 c. 28/55 Two letters picked without replace
{ "pile_set_name": "DM Mathematics" }
2:04 AM What is 371 minutes before 4:24 AM? 10:13 PM What is 453 minutes after 10:24 PM? 5:57 AM What is 344 minutes after 2:22 PM? 8:06 PM What is 71 minutes before 8:57 AM? 7:46 AM What is 321 minutes after 2:49 AM? 8:10 AM What is 323 minutes after 6:51 PM? 12:14 AM What is 135 minutes before 1:33 AM? 11:18 PM What is 376 minutes after 11:19 PM? 5:35 AM What is 321 minutes before 11:00 AM? 5:39 AM What is 236 minutes after 6:28 AM? 10:24 AM How many minutes are there between 1:43 AM and 4:07 AM? 144 What is 321 minutes after 1:30 AM? 6:51 AM How many minutes are there between 4:21 PM and 8:18 PM? 237 What is 660 minutes after 7:01 PM? 6:01 AM How many minutes are there between 10:33 AM and 10:45 AM? 12 What is 236 minutes after 12:43 AM? 4:39 AM What is 337 minutes before 7:58 PM? 2:21 PM How many minutes are there between 3:13 PM and 1:12 AM? 599 How many minutes are there between 2:02 PM and 8:58 PM? 416 What is 456 minutes before 11:56 AM? 4:20 AM What is 38 minutes before 10:36 PM? 9:58 PM What is 2 minutes before 1:50 PM? 1:48 PM What is 123 minutes after 4:54 AM? 6:57 AM What is 428 minutes before 2:50 AM? 7:42 PM How many minutes are there between 10:45 AM and 8:21 PM? 576 How many minutes are there between 11:58 AM and 7:24 PM? 446 What is 597 minutes after 10:05 AM? 8:02 PM How many minutes are there between 5:35 PM and 1:03 AM? 448 How many minutes are there between 1:23 AM and 9:44 AM? 501 How many minutes are there between 7:58 PM and 7:05 AM? 667 How many minutes are there between 1:24 AM and 9:18 AM? 474 How many minutes are there between 1:26 AM and 2:42 AM? 76 How many minutes are there between 9:46 AM and 11:47 AM? 121 What is 481 minutes before 6:50 AM? 10:49 PM What is 235 minutes after 7:27 PM? 11:22 PM What is 670 minutes after 11:34 PM? 10:44 AM What is 376 minutes after 2:36 AM? 8:52 AM What is 302 minutes after 5:27 AM? 10:29 AM What is 120 minutes after 11:08 PM? 1:08 AM How many minutes are there between 7:26 PM and 3:47 AM? 501 How many minutes are there between 6:56 PM and 11:21 PM? 265 What is 591 minutes after 8:32 AM? 6:23 PM How many minutes are there between 6:02 AM and 5:21 PM? 679 What is 520 minutes before 8:51 AM? 12:11 AM How many minutes are there between 5:09 PM and 1:34 AM? 505 How many minutes are there between 6:24 AM and 5:21 PM? 657 What is 152 minutes after 1:06 PM? 3:38 PM How many minutes are there between 7:11 PM and 7:38 PM? 27 What is 153 minutes before 9:36 AM? 7:03 AM What is 599 minutes before 7:07 PM? 9:08 AM What is 321 minutes before 7:02 AM? 1:41 AM What is 20 minutes after 5:13 PM? 5:33 PM How many minutes are there between 10:01 AM and 3:01 PM? 300 What is 627 minutes before 9:25 AM? 10:58 PM What is 128 minutes before 2:12 PM? 12:04 PM What is 69 minutes before 8:27 PM? 7:18 PM How many minutes are there between 2:55 PM and 2:26 AM? 691 What is 142 minutes after 9:26 AM? 11:48 AM What is 165 minutes after 9:03 AM? 11:48 AM What is 624 minutes before 8:49 AM? 10:25 PM How many minutes are there between 2:46 AM and 8:03 AM? 317 What is 387 minutes after 12:03 PM? 6:30 PM What is 443 minutes after 7:06 PM? 2:29 AM How many minutes are there between 4:01 PM and 4:50 PM? 49 What is 691 minutes after 10:53 AM? 10:24 PM What is 223 minutes after 4:16 PM? 7:59 PM How many minutes are there between 4:00 PM and 3:29 AM? 689 How many minutes are there between 9:00 AM and 12:05 PM? 185 How many minutes are there between 4:31 PM and 9:14 PM? 283 What is 502 minutes before 3:11 PM? 6:49 AM What is 639 minutes after 9:08 AM? 7:47 PM What is 572 minutes before 11:55 PM? 2:23 PM How many minutes are there between 4:29 PM and 2:21 AM? 592 What is 443 minutes after 10:00 AM? 5:23 PM What is 491 minutes after 7:32 AM? 3:43 PM What is 327 minutes before 6:15 AM? 12:48 AM What is 588 minutes before 3:45 PM? 5:57 AM How many minutes are there between 4:09 PM and 5:05 PM? 56 What is 217 minutes after 5:35 PM? 9:12 PM How many minutes are there between 11:55 PM and 12:36 AM? 41 How many minutes are there between 8:51 PM and 3:36 AM? 405 What is 48 minutes before 3:11 AM? 2:23 AM What is 197 minutes before 7:48 PM? 4:31 PM What is 56 minutes after 6:18 AM? 7:14 AM How many minutes are there between 12:56 AM and 8:04 AM? 428 How many minutes are there between 5:09 PM and 2:26 AM? 557 What is 44 minutes after 4:22 AM? 5:06 AM What is 387 minutes before 1:17 PM? 6:50 AM How many minutes are there between 9:43 PM and 4:22 AM? 399 How many minutes are there between 9:03 AM and 1:52 PM? 289 How many minutes are there between 12:57 AM and 4:55 AM? 238 How many minutes are there between 6:06 PM and 4:18 AM? 612 How many minutes are there between 2:49 PM and 6:26 PM? 217 What is 610 minutes after 12:21 PM? 10:31 PM What is 687 minutes before 3:28 AM? 4:01 PM How many minutes are there between 11:52 PM and 9:34 AM? 582 How many minutes are there between 2:00 PM and 2:04 PM? 4 How many minutes are there between 9:06 AM and 4:58 PM? 472 How many minutes are there between 5:12 PM and 6:56 PM? 104 What is 618 minutes before 11:17 AM? 12:59 AM What is 260 minutes before 12:02 AM? 7:42 PM What is 176 minutes before 10:49 PM? 7:53 PM How many minutes are there between 10:13 AM and 6:40 PM? 507 What is 661 minutes after 6:12 AM? 5:13 PM How many minutes are there between 8:15 AM and 8:26 AM? 11 What is 697 minutes before 12:41 PM? 1:04 AM How many minutes are there between 7:34 PM and 5:16 AM? 582 What is 558 minutes after 6:25 AM? 3:43 PM What is 51 minutes after 5:38 PM? 6:29 PM What is 50 minutes after 6:51 PM? 7:41 PM What is 89 minutes before 8:54 PM? 7:25 PM How many minutes are there between 2:07 PM and 5:12 PM? 185 What is 144 minutes before 9:05 AM? 6:41 AM How many minutes are there between 1:18 AM and 8:55 AM? 457 What is 246 minutes before 8:28 AM? 4:22 AM How many minutes are there between 3:11 AM and 7:21 AM? 250 What is 341 minutes after 10:15 AM? 3:56 PM How many minutes are there between 11:43 AM and 1:25 PM? 102 How many minutes are there between 10:12 AM and 4:11 PM? 359 How many minutes are there between 6:46 PM and 2:40 AM? 474 What is 211 minutes after 3:43 AM? 7:14 AM How many minutes are there between 6:55 AM and 6:13 PM? 678 What is 408 minutes after 10:33 AM? 5:21 PM How many minutes are there between 10:33 AM and 9:52 PM? 679 What is 670 minutes before 1:41 AM? 2:31 PM How many minutes are there between 7:35 PM and 5:32 AM? 597 What is 89 minutes before 1:28 AM? 11:59 PM What is 366 minutes before 1:39 PM? 7:33 AM What is 88 minutes after 6:27 PM? 7:55 PM How many minutes are there between 5:04 AM and 2:34 PM? 570 What is 374 minutes before 6:06 PM? 11:52 AM What is 144 minutes before 2:18 AM? 11:54 PM How many minutes are there between 5:07 PM and 7:19 PM? 132 What is 101 minutes after 11:41 AM? 1:22 PM What is 444 minutes after 8:30 PM? 3:54 AM How many minutes are there between 7:45 PM and 8:23 PM? 38 How many minutes are there between 7:30 PM and 12:21 AM? 291 What is 374 minutes after 11:56 AM? 6:10 PM What is 488 minutes after 9:28 PM? 5:36 AM How many minutes are there between 7:40 PM and 6:32 AM? 652 How many minutes are there between 12:27 PM and 10:45 PM? 618 How many minutes are there between 5:34 AM and 5:14 PM? 700 What is 504 minutes after 2:27 AM? 10:51 AM How many minutes are there between 1:11 PM and 4:34 PM? 203 How many minutes are there between 12:53 AM and 5:46 AM? 293 How many minutes are there between 11:22 PM and 6:50 AM? 448 How many minutes are there between 11:10 PM and 9:44 AM? 634 What is 581 minutes after 10:45 AM? 8:26 PM What is 252 minutes after 7:28 AM? 11:40 AM How many minutes are there between 8:40 AM and 3:38 PM? 418 What is 543 minutes after 5:34 AM? 2:37 PM What is 573 minutes after 11:16 PM? 8:49 AM What is 71 minutes before 3:26 AM? 2:15 AM What is 535 minutes after 4:01 PM? 12:56 AM How many minutes are there between 12:11 AM and 1:05 AM? 54 What is 325 minutes before 8:46 PM? 3:21 PM How many minutes are there between 9:45 AM and 2:15 PM? 270 How many minutes are there between 9:42 PM and 11:52 PM? 130 What is 115 minutes before 9:17 PM? 7:22 PM What is 581 minutes after 3:14 AM? 12:55 PM What is 264 minutes before 4:20 AM? 11:56 PM How many minute
{ "pile_set_name": "DM Mathematics" }
: 2, u: 1}. 1/168 Two letters picked without replacement from {q: 2, w: 1, t: 4, h: 4, m: 7}. What is prob of sequence wh? 2/153 Calculate prob of sequence wwjw when four letters picked without replacement from wwwwwwwwwwjwwwjjwwjw. 112/969 Three letters picked without replacement from btjtbjbhjbjjbnhnwntj. What is prob of sequence jth? 1/190 Two letters picked without replacement from puupphhwipiwh. What is prob of sequence hi? 1/26 Three letters picked without replacement from ofwfozifozfzo. What is prob of sequence fff? 2/143 Four letters picked without replacement from kydjnnkxy. Give prob of sequence kxdk. 1/1512 Three letters picked without replacement from {x: 2, k: 5, j: 3, h: 5}. Give prob of sequence hxj. 1/91 What is prob of sequence od when two letters picked without replacement from ddooodddoodogdddoood? 9/38 What is prob of sequence cica when four letters picked without replacement from {m: 1, c: 2, i: 10, a: 1, h: 4}? 1/3672 Three letters picked without replacement from {i: 3, z: 1, j: 1}. Give prob of sequence iiz. 1/10 Two letters picked without replacement from sggggdggsggwggdg. Give prob of sequence sw. 1/120 What is prob of sequence ff when two letters picked without replacement from {f: 2, c: 5}? 1/21 Calculate prob of sequence ybdl when four letters picked without replacement from gdbylml. 1/420 Calculate prob of sequence pppp when four letters picked without replacement from {p: 7}. 1 Calculate prob of sequence gfy when three letters picked without replacement from ayyqqaaqfnnnagqaaqna. 1/3420 What is prob of sequence ww when two letters picked without replacement from {w: 3, e: 12}? 1/35 What is prob of sequence wg when two letters picked without replacement from {w: 7, g: 2}? 7/36 Calculate prob of sequence wa when two letters picked without replacement from {a: 3, w: 1}. 1/4 Four letters picked without replacement from {y: 3, c: 11}. Give prob of sequence cccc. 30/91 Calculate prob of sequence hvhr when four letters picked without replacement from ovgoohgrvhrgvhvv. 1/728 What is prob of sequence onn when three letters picked without replacement from {n: 2, o: 3}? 1/10 Calculate prob of sequence ai when two letters picked without replacement from {a: 2, i: 14, d: 2, e: 1, m: 1}. 7/95 Calculate prob of sequence sfq when three letters picked without replacement from {t: 3, f: 2, s: 2, q: 2}. 1/63 Three letters picked without replacement from rbbvgeog. What is prob of sequence bbe? 1/168 Two letters picked without replacement from hhjhhhhjhhghhhhhhhhj. Give prob of sequence hj. 12/95 Calculate prob of sequence vvv when three letters picked without replacement from {r: 1, v: 9, u: 1}. 28/55 What is prob of sequence lqj when three letters picked without replacement from {q: 6, j: 1, l: 7}? 1/52 Three letters picked without replacement from {u: 1, a: 1, n: 1, g: 1, p: 3}. Give prob of sequence pnu. 1/70 What is prob of sequence rby when three letters picked without replacement from {r: 3, y: 2, b: 8, z: 2, u: 4, o: 1}? 2/285 Four letters picked without replacement from {h: 3, u: 7, k: 1, x: 3, m: 2, a: 3}. Give prob of sequence kxhm. 1/5168 Three letters picked without replacement from {h: 5, u: 5}. Give prob of sequence uhh. 5/36 Three letters picked without replacement from pekkkppkpekke. What is prob of sequence pek? 6/143 Four letters picked without replacement from evmwevevwwhvwve. What is prob of sequence whmw? 1/2730 Two letters picked without replacement from yrrreyyyolloryy. Give prob of sequence lo. 2/105 Two letters picked without replacement from {w: 3, g: 7}. What is prob of sequence ww? 1/15 Calculate prob of sequence add when three letters picked without replacement from {e: 1, d: 8, a: 6}. 8/65 Two letters picked without replacement from alla. Give prob of sequence ll. 1/6 Three letters picked without replacement from {a: 4, u: 1, l: 4, f: 3, s: 6, d: 1}. What is prob of sequence ffu? 1/969 What is prob of sequence ssb when three letters picked without replacement from sbsb? 1/6 Calculate prob of sequence kf when two letters picked without replacement from qfufkwunnkqffunku. 3/68 Four letters picked without replacement from odlollloyvlyyhyyyooh. What is prob of sequence yhhy? 1/1938 Two letters picked without replacement from bqfefbeqqqqqbqeeqbf. What is prob of sequence ee? 2/57 Calculate prob of sequence bbcz when four letters picked without replacement from bzbc. 1/12 Calculate prob of sequence jjw when three letters picked without replacement from jjwj. 1/4 Two letters picked without replacement from paagabpaa. What is prob of sequence pg? 1/36 Calculate prob of sequence yxi when three letters picked without replacement from {y: 1, i: 2, x: 1}. 1/12 Calculate prob of sequence ooh when three letters picked without replacement from ohoh. 1/6 Two letters picked without replacement from {d: 1, z: 1, k: 1, c: 1, u: 1}. Give prob of sequence kz. 1/20 Calculate prob of sequence vll when three letters picked without replacement from iiivillllibivbibi. 1/170 Three letters picked without replacement from pnkggag. What is prob of sequence anp? 1/210 Two letters picked without replacement from {z: 1, u: 2, o: 8, q: 1, f: 2, p: 1}. What is prob of sequence zo? 4/105 Calculate prob of sequence utc when three letters picked without replacement from jucyjtf. 1/210 What is prob of sequence jkm when three letters picked without replacement from xmjjmxxvbjxvxxxjk? 1/510 Two letters picked without replacement from {o: 9, r: 1, l: 1, e: 2}. What is prob of sequence le? 1/78 What is prob of sequence ys when two letters picked without replacement from yysys? 3/10 Two letters picked without replacement from {c: 2, t: 4, i: 2, b: 1}. Give prob of sequence bt. 1/18 Calculate prob of sequence pp when two letters picked without replacement from pjzpzzpzzjzzzjzzzzpz. 3/95 Calculate prob of sequence nd when two letters picked without replacement from {c: 2, f: 1, d: 1, h: 3, n: 3}. 1/30 What is prob of sequence wh when two letters picked without replacement from {h: 3, w: 1, o: 5}? 1/24 Four letters picked without replacement from ccccaccccccaccccccc. What is prob of sequence cacc? 5/57 Calculate prob of sequence mq when two letters picked without replacement from qaxjxxmx. 1/56 Four letters picked without replacement from vvvvvvvvvcvvvwv. What is prob of sequence cwvv? 1/210 What is prob of sequence nqq when three letters picked without replacement from {f: 2, q: 4, k: 2, v: 2, n: 2}? 1/55 Two letters picked without replacement from wltagattgwwwlwgwwl. Give prob of sequence ag. 1/51 Two letters picked without replacement from {k: 3, u: 5}. What is prob of sequence uu? 5/14 What is prob of sequence dw when two letters picked without replacement from {w: 1, b: 2, d: 5, v: 6, h: 2}? 1/48 Two letters picked without replacement from rlozizz. Give prob of sequence rl. 1/42 Four letters picked without replacement from qyypypppyyppypqqypyq. Give prob of sequence qyyp. 224/14535 Two letters picked without replacement from {a: 1, m: 5, q: 2, n: 1}. What is prob of sequence qq? 1/36 Four letters picked without replacement from {d: 6, n: 2}. Give prob of sequence nddd. 1/7 Calculate prob of sequence bps when three letters picked without replacement from {o: 3, s: 2, p: 4, b: 2, u: 1}. 2/165 Calculate prob of sequence jj when two letters picked without replacement from {d: 1, w: 6, c: 3, j: 4, x: 1}. 2/35 Three letters picked without replacement from {t: 8, q: 6, z: 3}. What is prob of sequence qqt? 1/17 Three letters picked without replacement from pheueeiuiifiifffufhi. What is prob of sequence hhi? 1/570 Calculate prob of sequence qjll when four letters picked without replacement from {l: 3, j: 2, v: 1, m: 6, q: 3}. 1/910 Calculate prob of sequence qlel when four letters picked without replacement from lqrlelrlellrerqrl. 3/680 Calculate prob of sequence zj when two letters picked without replacement from gbzbzzttzjzygbz. 1/35 Two letters picked without replacement from {t: 1, r: 2, p: 1, u: 1, g: 2, j: 1}. Give prob of sequence rj. 1/28 Three letters picked without replacement from mzzzzzzzmmzzmzzmzm. What is prob of sequence zzm? 11/68 What is prob of sequence qz when two letters picked without replacement from {b: 2, k: 1, x: 1, m: 1, z:
{ "pile_set_name": "DM Mathematics" }
f be o(2). What is the nearest to 0.3 in 2/3, f, w? 2/3 Let v(y) = y**3 - y**2 - 17*y + 18. Let i be v(4). Which is the nearest to 7? (a) i (b) 0 (c) -1 b Let z be ((-5)/35)/(130/182). Which is the closest to 0.1? (a) z (b) -67 (c) 1/3 c Let g = 2 - 2.3. Let p = 0 + g. Let h = 2.1 - 3.1. What is the nearest to h in -2, 0.5, p? p Let p = -2.64 + 2.7. Which is the closest to -0.2? (a) -2 (b) p (c) -4 b Let v = -11 + 13.5. Let k = 117.9 - 115. Let x = v - k. What is the nearest to x in 3/4, 0.5, -2/9? -2/9 Let f = -19.67 + 19.97. Which is the closest to f? (a) -2 (b) -95 (c) 1 c Let l = -917 + 914. Which is the closest to -1/2? (a) l (b) 1/10 (c) 5/2 (d) 2/9 b Let l = -4/3 + 46/39. Let m = 93.4 + -93. Which is the closest to 1/2? (a) 3/2 (b) m (c) l b Suppose 3*l - 3 = -k - 22, 0 = -k - 5*l - 29. Let m = k + 21/5. Let y = 34.7 + -35.1. What is the nearest to -0.8 in y, m, -1? -1 Let n be ((-63)/9 - 412/(-60))*1. What is the nearest to 1/3 in 9, -0.1, n? -0.1 Let d be (1 + 5)*(-8)/12. Suppose 2*w = 13 - 3. Suppose 5*k - 4*o = 3*k + 4, 3*o + 16 = -w*k. What is the closest to k in d, -0.2, 3? -0.2 Let y = -133/15 - -9. Which is the closest to 0? (a) 4 (b) -0.1 (c) y b Let u = -0.045 - -3.045. Let r = -0.4258 - -0.0258. Let t = -41/3 - -13. What is the closest to t in 3/7, u, r? r Suppose -6*r + 0 = -0. Which is the closest to r? (a) -2 (b) 2/11 (c) -0.3 (d) 0.05 d Let x = 4496455/13 + -345610. Let g = x + -271. What is the nearest to g in 1/5, -5, -0.4? 1/5 Let q be (7 + 48/(-6))/((-2)/(-134)). Let i = q - -62. Let a = 0.1 + -0.1. What is the nearest to a in i, 2, 0.2? 0.2 Let j be 20/15*9/(-2). Let i(s) = -s**3 - 6*s**2 - 2*s - 9. Let h be i(j). Let v = -0.4 + 0.4. Which is the nearest to 0? (a) h (b) v (c) 0.5 b Let b = 0.11 - -3.89. Let n = -507 - -507.2. What is the nearest to b in 3, -2/15, n? 3 Let k = -0.36 - -3.56. Let z = -5 + 3.8. Let r = k + z. Which is the closest to -2/3? (a) 0 (b) 1 (c) r a Let l = -423 - -423.1. What is the nearest to -1 in 2/1621, 2/7, l? 2/1621 Let g = -448/535 - -4/107. Let r(f) = 3*f**2 + f - 13. Let s be r(0). Which is the closest to s? (a) g (b) 4 (c) 0.4 a Let k = 8 - 6. Let y be (-10)/30 + 10/18. Which is the nearest to k? (a) 2/3 (b) y (c) 2/5 a Let d = 0 + 0.1. Let c = 4.07 - 3.97. What is the closest to d in c, 2/7, 0.04? c Let b = 106/13 - 755/91. What is the closest to 2 in -1/3, -1.9, b? b Let k be ((-50)/(-15))/(8/(-12)). Let i = -14 + 10. Let p = -5 + 5.2. Which is the closest to 0? (a) p (b) i (c) k a Let u be 289/408 + (-6)/16. Let d = -0.1 - -5.1. Which is the nearest to u? (a) -11 (b) 3/4 (c) d b Let l = 104 + -98. Suppose -5*i = 11 - 61. Let c be -2 - 5/(i/l). What is the closest to -1 in -3/8, -2/3, c? -2/3 Let j = 0.11 - 0.097. Let x = -1.013 + j. What is the closest to -0.2 in 0, x, 7? 0 Suppose 3*n - x = 361 + 240, 4*x + 796 = 4*n. Let f = n + -1404/7. Let q = 24.4 + -24. Which is the nearest to -1? (a) q (b) f (c) 1/3 c Let h = 3 - 2.87. Let i = 0.13 - h. Let y = -7 + 3. Which is the nearest to i? (a) -5 (b) -0.1 (c) y b Let m = 50 + -49. Let i be (m - 22)*4/(-6). Let z = -0.3 + 0.4. Which is the nearest to 1/2? (a) i (b) z (c) 0.4 c Let q = -4/193 + 305/5404. Let r = q - -11/84. Let m be 50/(-250)*((-11)/(-6) + -1). What is the nearest to m in r, -5, -1/5? -1/5 Let f = 241 + -240.9. What is the nearest to -0.12 in 5, f, -1? f Let p be (3 + -2 + 2)*(-16)/96. What is the nearest to p in 0.3, -1/6, -0.3, 11? -0.3 Let z = -20 + 19.88. Let d = -9.88 + z. Let l = -9.7 - d. Which is the nearest to 1? (a) l (b) 1 (c) 0.1 b Let o = 139.2 + -136.2. Which is the closest to 0? (a) -1/2 (b) 6 (c) o a Let d = -1045 - -1045. Which is the closest to 2/5? (a) -0.3 (b) 0.027 (c) d b Let v = 13 - -4. Let p = v - 11. Let g = p + -6.1. Which is the closest to g? (a) 0 (b) 1 (c) -1 a Let i = 11.3 - 11. Let l = 171 - 167. Which is the nearest to -0.1? (a) i (b) l (c) 5 a Suppose 27*h - 6 = 21*h. Let m = -7 - -7.1. Let v be 2/7 + 46/(-14). Which is the closest to v? (a) -1 (b) h (c) m a Let i be ((-5)/3)/(-5) - -1. Let m = 11 - 12. Which is the closest to m? (a) -2 (b) i (c) 8/3 a Suppose 2*l + 12 = 4*l. Suppose -4*v = -l + 2. Let b be (-9)/15*-1 - v. What is the closest to -0.3 in 1/8, b, -3/8? -3/8 Let u be (-20)/5 + (1 - -3). Which is the nearest to -2? (a) 1/3 (b) -8 (c) u c Let x = 656 - 655. Suppose 4*l - 468 = 324. Let y = 1388/7 - l. Which is the nearest to 1/5? (a) y (b) 0.5 (c) x a Let h = 17/6 - 13/3. Which is the closest to 1? (a) 1/3 (b) 4 (c) h a Suppose 8*h - 9 = -25. Let t be 5 - (2 + -6)/(-2). Suppose 2*o + 4 = t*o. Which is the closest to -2? (a) o (b) h (c) 0.4 b Let x = -101 + 101.1. Let t = 0.47 + -0.25. Let p = t + 0.08. Which is the nearest to x? (a) 2/5 (b) p (c) 1/5 c Let g be 0 + (-2 - (-22)/10). Let u = 59 - 54. Suppose -5*s = -10*s + u. What is the closest to s in 0.4, g, -0.5? 0.4 Let s be 0/1 + 76/(6/3). Let g be s/(-60) + 44/330. Which is the nearest to 1/4? (a) 0 (b) 3 (c) g a Let f be (-2)/(-20)*(-1 - -5). Let b be 1 + 0 + (-3)/(-3). Suppose -2*t = b*i - 5*i + 6, -5*i = 0. What is the closest to f in -8/3, t, 1/2? 1/2 Let i = -0.02 + -0.28. Let h = -1.77 + -0.23. What is the nearest to 4 in 0.5, i, h? 0.5 Let z = -2 - -1. Let i be -8*(-5)/120 + 26/(-114). What is the nearest to z in -0.1, -0.2, i? -0.2 Let d = -51/7 + 7. Let w be 10/60 + 10/(-12) + 0. Which is the nearest to -2? (a) d (b) -1 (c) w b Let w = 2.76 - 2.6. Let l = -0.04 - w. Let c be ((-3)/(-36))/((-2)/4). What is the closest to 1 in l, 1, c? 1 Let q = -6 + 5.7. Let d = 1594.951 - 1594. Let l = d + 0.049. Which is the closest to -2/7? (a) q (b) 0.1 (c) l a Let r = -7 + 3. Let o = -4.2 - r. Let z = 89.6 + -90. Which is the closest to -2? (a) z (b) 2 (c) o a Let t = -26 - -26. Let p be 4 - (4 - t/2). Let y = 5.12 - 0.12. What is the closest to p in y, -2, -3? -2 Suppose -3*q = -2*q - 7*q. Which is the closest to q? (a) 0.5 (b) 3/7 (c) -3 b Let d = 4338/5 + -25703/30. Let n = d + -64/3. Let p = 43/4 + n. Which is the nearest to -0.08? (a) 3 (b) p (c) -5 b Let r = 24.8 + -25. Let o = 7.6 - 7. Let b = -0.7 + o. What is the nearest to b in 4, 4/9, r? r Let c be (-1)/((-15)/(-1)) + (-1)/(-5). What is the nearest to 0 in c, 11, -3? c Let s = 178.5 + -178. What is the nearest to 11 in s, -1, -5, 1? 1 Let t = 5.28 - 6.28. Which is the nearest to -13? (a) t (b) -0.2 (c) 4 (d) 2 a Let o = -843.1 + 843. Suppose -3*x - 2*x = -155. Let z = x + -92/3. What is the nearest to o in z, -2/13, -4? -2/13 Let q = 8/147 + 30/49. Which is the closest to 1? (a) 3/2 (b) 4 (c) q c Suppose 3*u - 3*m = 18, 5*u - 8*m - 28 = -4*m. What is the closest to -0.1 in 10/3, u, -4? 10/3 Let q = 3.5 - 3. Let k be 6004/456 + (-1)/6. Which is the nearest to -2/7? (a) k (b) 4 (c) q c Let g = 12.24 + -14.24. What is the closest to g in -0.1, -3, 5, -0.7? -3 Let s = -69/2 - -34. Suppose -8*n + 4*n = -20. Let d = -24 - -95/4. What is the nearest to 2/7 in n, d, s? d Let v = 29 + -30.7. Let l = 2.5 - 4. Let t = v - l. Which is the closest to 3? (a) t (b) -0.3 (c) -1 a Let y(v) = 6*v**2 + 2*v - 2. Let b be y(2). Suppose 5*x + b = h, 2*h + 3*x = h + 18. Let l = 65/3 - h. What is the nearest to 0.4 in -0.3, l, 3/2? l Let u = 28.7 + -28.5. What is the nearest to -2/7 in 1/2, -4, u? u Let z be (-4)/(-10) + (-99)/135. Let d = -82 - -79. What is the nearest to d in 1, -4, z? -4 Let z = 228 + -1594/7. What is the closest to -2/5 in 1/3, 1/8, z, -1/5? -1/5 Let g = 3.2 + -3. Let r be ((-39)/54 + (-15)/(-90))*(-4)/10. What is the nearest to g in -0.3, r, 3? r Let x = 2891/6 + -482. Which is the closest to -14? (a) -5 (b) x (c) 5 a Let a = 630 + -628. What is the closest to 0 in 4/3, 5, a? 4/3 Let o = -352 - -1413/4. Which is the nearest to 0.1? (a) -2/17 (b) o (c) -1/2 (d) 5 a Let g = -2789 - -2788.7. What is the nearest to -1 in -5, -8, 0.1, g? g Let v be (-1)/1*1*12/(-4). Let i = -140 - -139. Which is the nearest to 1/2? (a) v (b) i (c) 0.03 c Suppose -48 = 3*k - 2*m - 0*m, 5*k + 2*m = -80. Let d be 1/((-4)/(k/20)). Let u = -23/144 + -1/16. Which is the nearest to d? (a) u (b) -0.5 (c) -3 a Let s = 47.5 + -47. What is the closest to -0.1 in
{ "pile_set_name": "DM Mathematics" }
0*z**3 + 0 + 1/20*z**5. Let w(m) = 3*m. What is o(w(a))? 27*a**2 Let q(a) = -7*a**2 + 6*a**2 - 2*a**2. Let n(y) = -y. Calculate n(q(s)). 3*s**2 Suppose -2*g - 58 + 64 = 0. Let w(p) be the second derivative of 1/6*p**g + 0 + 0*p**2 - 3*p. Let k(n) = -3*n. Determine k(w(b)). -3*b Let r(g) = g. Let l(h) be the second derivative of h**4/12 - 4*h. Calculate l(r(n)). n**2 Let p(h) = h**3 - 9*h**2. Let q be p(9). Suppose 5*v + 25 - 70 = q. Let u(t) = -9 + v - 2*t. Let d(n) = n. Give u(d(k)). -2*k Let q(r) = -2*r. Let g(i) be the second derivative of 0 + 0*i**3 + 1/6*i**4 + 0*i**2 + 2*i. What is q(g(y))? -4*y**2 Let s(g) = -5*g. Let z(b) = 23*b. Give s(z(p)). -115*p Let l be (-6)/4*(-2 + -4). Suppose -5*i - l = 6, 2*i = -3*f. Let u(y) = y**2 - 5 + 5 - 3*y**f. Let k(d) = -2*d**2. Give u(k(p)). -8*p**4 Let d(v) = 46*v. Let a(j) = 10*j. Calculate d(a(r)). 460*r Let c(h) = -807*h**2. Let z(k) = -k**2. What is z(c(g))? -651249*g**4 Let k(r) = -7*r**2 + 2*r. Let u(m) be the first derivative of m**2 + 25. Determine u(k(s)). -14*s**2 + 4*s Let i(x) = 29*x. Let j(u) = -14*u**2. Give i(j(q)). -406*q**2 Let m(d) = 2*d. Let t(n) = -5*n**2 + 3*n - 3. Let h(r) = -5*r**2 + 2*r - 2. Let g(f) = -3*h(f) + 2*t(f). Calculate g(m(v)). 20*v**2 Let f(i) = -26*i**2 + 4. Let d(p) = -2*p. What is f(d(k))? -104*k**2 + 4 Let f(d) = 13 - 3*d**2 + 2*d**2 - 13. Let l(t) = -2*t. What is f(l(c))? -4*c**2 Let x(n) be the third derivative of 11*n**4/24 - 13*n**3/6 - 5*n**2. Let d(i) = -5*i + 6. Let h(t) = -13*d(t) - 6*x(t). Let z(g) = 3*g**2. Calculate z(h(r)). 3*r**2 Let p(s) = s. Let z(c) = 25*c**2 - 20*c**2 - 19*c**2. Calculate z(p(i)). -14*i**2 Let t(q) = 10*q. Let m(x) = -8*x**2. What is m(t(r))? -800*r**2 Let z(j) be the third derivative of j**4/12 + 7*j**2. Let b(h) = -16*h. Calculate b(z(g)). -32*g Let c(r) = 2*r**2 + 3. Let d(t) be the first derivative of -4*t**3/3 - 7*t + 2. Let g(u) = 7*c(u) + 3*d(u). Let h(z) = 3*z**2. Give g(h(l)). 18*l**4 Let q(d) be the third derivative of d**5/30 - d**2. Let p(g) be the second derivative of -g**3/3 - 38*g. Calculate q(p(u)). 8*u**2 Let t = 18 + -14. Let k(c) = -c**2 - 3*c + 3. Let q(h) = -2*h**2 - 4*h + 4. Let x(r) = t*k(r) - 3*q(r). Let d(w) = -4*w. Determine x(d(g)). 32*g**2 Let c(v) = 3*v. Let q(h) be the first derivative of -41*h**2/2 + 14. What is c(q(o))? -123*o Let y(u) = 4*u. Let j(z) = 1613*z. Give y(j(x)). 6452*x Let k(t) = 22*t**2. Let y(v) = 30 + 4*v - 30. Give y(k(c)). 88*c**2 Let k(n) = -15*n. Let r(z) = 10*z**2. Calculate r(k(q)). 2250*q**2 Let m(i) be the first derivative of -i**2/2 - 2. Let c(a) = -4*a**2 - 5*a + 5. Let w(y) = 2*y**2 + 2*y - 2. Let v(l) = -2*c(l) - 5*w(l). What is m(v(s))? 2*s**2 Let j(c) = -c. Let w(h) = -942*h - 2. What is w(j(a))? 942*a - 2 Let x(f) = -f - 135. Let v(g) = 67*g. Determine v(x(u)). -67*u - 9045 Let l(i) = 2*i - 10. Let b be l(7). Let w = -2 + b. Let d(r) = -r + r + w*r. Let g(s) = s**2. Give g(d(k)). 4*k**2 Let u(z) = z + z**2 - z. Let s(h) = 2*h**2 - h**2 - 2*h**2. Give u(s(l)). l**4 Let j(d) = 2*d**2. Let p(f) = -24*f**2. Calculate j(p(k)). 1152*k**4 Let x(t) = 629*t + 221. Let r(l) = 17*l + 6. Let h(v) = 221*r(v) - 6*x(v). Let i(a) = 2*a. Give h(i(d)). -34*d Let s(i) = 128*i. Let v(k) = 2*k**2. Determine v(s(x)). 32768*x**2 Let p(c) = -12*c**2. Let j(b) = 4*b - 2*b + 0*b. Give p(j(l)). -48*l**2 Let s(b) = 5*b. Let n(v) = 65*v**2 + 2*v. Calculate n(s(x)). 1625*x**2 + 10*x Let k(x) be the first derivative of -2*x**3/3 + 4*x + 7. Let j(f) = 2*f**2 - 5. Let h(i) = -4*j(i) - 5*k(i). Let p(z) = -5*z**2. Calculate p(h(g)). -20*g**4 Let f(d) = 2*d**2. Let a(y) = 2*y - 6*y - 4*y. Give a(f(p)). -16*p**2 Let b = 6 - 4. Let z(j) = j**2 - 2*j + b*j. Let p(k) = -2*k. What is z(p(r))? 4*r**2 Let i(o) = -o**2. Let p = 11 + -9. Let u(c) = -c - p*c + 5*c + 3*c. What is u(i(l))? -5*l**2 Let n(v) = 3*v**2. Let m be ((-24)/10 + 2)*-5. Suppose g = -m*g. Let a(q) = 0 + q + g. Determine a(n(z)). 3*z**2 Let h(t) = 2*t**2 + 12*t - 12*t. Let f(x) = -2 + 2*x + 1 + 1. Determine f(h(z)). 4*z**2 Let i(n) = 1 - 1 + 3*n**2. Let v be (4 + -3)/(2/4). Let q(k) = 4*k**2 + 6*k**2 - 11*k**v. Determine q(i(w)). -9*w**4 Let u(i) = 75*i**2 + i. Let d(j) = -j**2. Determine d(u(g)). -5625*g**4 - 150*g**3 - g**2 Let b(f) be the first derivative of f**2 - 9. Let g(p) = -23*p. Give b(g(z)). -46*z Let s(c) = -6*c**2. Let b(w) = -103*w + 2. Give b(s(z)). 618*z**2 + 2 Let y(f) = -2*f**2. Let q(s) = -s + 2. Let u be q(-9). Let a(v) = -4*v + 5*v + u*v. Determine y(a(h)). -288*h**2 Let y(p) = -20*p**2 + 2*p. Let c(b) be the first derivative of b**3/3 - 3. Calculate y(c(n)). -20*n**4 + 2*n**2 Let m = -5 + 11. Let a(i) = 2*i - 2*i - 6 - i**2. Let q(d) = -d**2 - 7. Let z(u) = m*q(u) - 7*a(u). Let o(w) = -4*w. What is z(o(b))? 16*b**2 Let g(q) = q + 9. Let x be g(-7). Let c(z) = -7*z + x*z + 4*z. Let r(m) = -3*m. Calculate r(c(o)). 3*o Let u(k) = -14*k**2. Let q(d) = -3*d**2 + 4*d**2 + 0*d**2. Let l(c) = 2*c**2. Let j(a) = 2*l(a) - 3*q(a). Calculate u(j(v)). -14*v**4 Let b(x) = 60*x - 122*x + 62*x - 20*x**2. Let u(g) = -g**2. What is u(b(o))? -400*o**4 Let v(d) = -2*d. Let f(w) be the first derivative of -w**4/4 + 4*w**3/3 + 7*w**2/2 - 2*w + 2. Let s be f(5). Let u(k) = -s*k - k**2 + 8*k. Give v(u(y)). 2*y**2 Let m(a) = -4*a**2 - 2. Let r(l) = -4*l. Determine m(r(z)). -64*z**2 - 2 Let p(r) = -20*r**2. Let l(i) be the first derivative of 2*i**3/3 + 19. Calculate p(l(m)). -80*m**4 Let u(a) = 4*a**2. Let c(i) be the first derivative of -5/3*i**3 + 0*i + 6 + 0*i**2. Give c(u(x)). -80*x**4 Let r(m) = 2*m**2. Let u = -2 - 1. Let d = 3 + u. Let z(c) = 5 + d*c - 5 + 2*c. Determine z(r(f)). 4*f**2 Let f(h) = 9*h**2. Let g(l) = -l - 633. Calculate g(f(t)). -9*t**2 - 633 Let q(z) = -15*z. Let p(c) = -c. Let a = -12 - 43. Let i(k) = a*p(k) + 4*q(k). Let l(h) be the third derivative of -h**4/24 - 3*h**2. Give i(l(s)). 5*s Let h(n) = n. Let f(l) = -4*l + 7. Let w(v) = -2*v + 3. Let r(o) = 3*f(o) - 7*w(o). Give h(r(z)). 2*z Let n(l) be the second derivative of -l**4/6 - 16*l. Let a(g) = 15*g. Give n(a(t)). -450*t**2 Let v(k) = k. Let d(f) = 94*f**2. Determine d(v(l)). 94*l**2 Let z(v) = 910*v**2 - 6. Let m(s) = 2*s. What is m(z(l))? 1820*l**2 - 12 Let b(m) = 2*m. Let h(t) = -53 - 12*t**2 + 53. Calculate b(h(q)). -24*q**2 Let f(a) = 9*a**2 + 1. Let u(p) = -3*p - 4. Let s(l) = -l - 1. Let v(o) = -4*s(o) + u(o). What is v(f(g))? 9*g**2 + 1 Let l(n) = -57*n**2 - 1. Let z(j) = 8*j**2. Calculate l(z(p)). -3648*p**4 - 1 Let c(g) be the first derivative of g**4/6 + 11*g**2/2 + 1. Let s(m) be the second derivative of c(m). Let j(t) = -3*t**2. Calculate j(s(y)). -48*y**2 Let o(k) be the third derivative of k**4/24 - 15*k**2 + k. Let t(b) be the third derivative of 0*b + 0 - 5/24*b**4 - b**2 + 0*b**3. Determine o(t(y)). -5*y Let q(c) be the first derivative of 2*c**2 + 14. Let r(l) = 14*l. Calculate q(r(t)). 56*t Let i(g) be the first derivative of g**2 + 12. Let o be (-3 + 4)/(1/2). Let d(z) = o*z - 1 + 1. Give i(d(p)). 4*p Let t(g) = -31*g**2. Let a(p) = -2*p. Determine a(t(u)). 62*u**2 Let y(c) = -c**2 + 6*c - 3. Let d be y(5). Let p(u) = 2 - d + u. Let z(g) = -11*g - 7*g + 15*g. Calculate z(p(o)). -3*o Let g(u) = -2*u. Let r(h) = -10*h + 7. Calculate g(r(w)). 20*w - 14 Let h(i) = -i**2. Let n(w) be the third derivative of -3*w**4/4 + 5*w**3/2 - w**2. Let z(b) = b - 1. Let d(k) = -n(k) - 15*z(k). Give h(d(a)). -9*a**2 Let y be (-6)/(-5)*30/9. Let z(l) = l + 4*l - y*l. Let j(f) = 4*f**2 - 7*f - 7. Let u(r) = r**2 - 2*r - 2. Let g(o) = 6*j(o) - 21*u(o). Give g(z(a)). 3*a**2 Let n(z) = -z. Let b(g) = 37801*g**2 + 721*g + 721. Let r(m) = -105*m**2 - 2*m - 2. Let h(u) = -2*b(u) - 721*r(u). Give n(h(i)). -103*i**2 Let k(c) be the first derivative of 5*c**2 + 3. Let n(x) be the second derivative of -x**4/6 + 13*x. What is n(k(w))? -200*w**2 Let i(k) = -19*k. Let l(j) be the second derivative of j**4/6 + 15*j. Give l(i(w)). 722*w**2 Let i(z) = z**2. Let n(h) = h**2 - 19. Give i(n(j)). j**4 - 38*j**2 + 361 Let h(o) = -2*o. Let w(m) be the second derivative of -1/6*m**3 + 0*m**2 + 0 - 4*m. Determine w(h(r)). 2*r Let t(o) = 6*o**2. Let c(u) = -16*u**2 + 6. Let l(x) = -95*x**2 + 35. Let v(b) = -35*c(b) + 6*l(b). Give t(v(a)). 600*a**4 Let n(u) be the second derivative
{ "pile_set_name": "DM Mathematics" }
64). 2 Let i(k) = -2*k + 3. Calculate i(-7). 17 Let x(t) = 8*t + 16. Calculate x(-7). -40 Let o(g) = -g**2 - 13*g - 10. Calculate o(-8). 30 Let d(u) = -u**2 + 6*u + 9. What is d(8)? -7 Let y(l) = l**3 - 13*l**2 + 14*l - 3. Calculate y(12). 21 Let v(p) = -p + 10. Determine v(14). -4 Let b(r) = -r**2 + 5*r + 23. Give b(-4). -13 Let a(b) = b - 2. Give a(8). 6 Let r(v) = 10*v - 1. Calculate r(2). 19 Let z(p) = -p - 8. Give z(-6). -2 Let l(c) = c**3 + c**2 - 2*c + 4. What is l(2)? 12 Let h(t) = -5*t - 44. Determine h(6). -74 Let g(b) = -b**3 + 6*b**2 - 2*b - 20. Give g(4). 4 Let l(s) = -5*s + 20. Calculate l(9). -25 Let q(z) = -z**2 - 6*z - 12. Give q(-9). -39 Let u(i) = i**3 + 8*i**2 - 14*i - 8. What is u(-9)? 37 Let n(r) = -3*r**3 - 3*r**2 - 2*r - 1. Calculate n(-2). 15 Let z(x) = -15*x**3 - x**2 - 4*x - 4. Determine z(-1). 14 Let c(p) = -p**2 - 11. What is c(3)? -20 Let i(c) = -68*c**3 + 2*c**2 - c. Calculate i(1). -67 Let v(t) = t**2 + 4*t - 64. Determine v(10). 76 Let i(l) = l**2 - 2*l - 40. Give i(7). -5 Let z(w) = -w**3 + 2*w**2 - 2. Give z(-3). 43 Let j(x) = -5*x + 22. What is j(7)? -13 Let h(b) = -13*b**3 + b**2. Determine h(-1). 14 Let b(t) = -t**3 - 2*t**2 + 2*t - 5. What is b(-3)? -2 Let j(o) = 2*o**3 - 25*o**2 + 12*o + 5. Determine j(12). 5 Let w(j) = j**3 + 13*j**2 - 18*j + 3. Calculate w(-14). 59 Let o(k) = -9*k**2 + 2*k + 1. Determine o(-1). -10 Let v(f) = -13*f + 6. Calculate v(-5). 71 Let x(r) = r**3 + 2*r**2 + 2. Give x(-3). -7 Let a(y) = -y**3 - 20*y**2 + 45*y + 26. Calculate a(-22). 4 Let p(b) = -b**3 + 21*b**2 - 19*b + 11. Determine p(20). 31 Let w(h) = 11*h**2 - 2*h + 1. Give w(1). 10 Let r(x) = -x**3 - 14*x**2 - 16*x - 11. What is r(-13)? 28 Let d(a) = -a**3 + 12*a**2 + a - 18. Calculate d(12). -6 Let q(d) = d**3 - 17*d**2 - 16*d - 29. Calculate q(18). 7 Let x(y) = y**3 - y**2 - 3*y + 9. Determine x(4). 45 Let g(x) = -x**3 + 13*x**2 + 2*x - 24. Calculate g(13). 2 Let q(i) = -i**3 - 2*i**2 - 2. Give q(-2). -2 Let k(w) = w**2 + 4*w - 27. Calculate k(-8). 5 Let z(w) = w**3 + 4*w**2 + 3*w. What is z(-3)? 0 Let u(w) = -w**3 + 6*w**2 + 3*w - 11. Calculate u(6). 7 Let l(j) = -4*j. Give l(7). -28 Let x(c) = 2*c**3 - c**2 - 5*c - 4. What is x(-2)? -14 Let r(y) = y**3 - 43*y**2 + 43*y - 53. Give r(42). -11 Let b(t) = 2*t**2 - 37*t - 12. Give b(19). 7 Let t(f) = -f**2 - 4. Give t(0). -4 Let d(s) = -s - 3. Determine d(9). -12 Let m(l) = -l**2 - 21*l + 85. What is m(-24)? 13 Let l(x) = 3*x - 62. Calculate l(10). -32 Let d(p) = 4*p - 2. What is d(2)? 6 Let h(r) = -3*r + 9. What is h(5)? -6 Let z(u) = u**2 + 10*u. Calculate z(-10). 0 Let t(n) = n**3 + 52*n**2 + 49*n - 108. Calculate t(-51). -6 Let c(x) = 11*x + 16. What is c(-2)? -6 Let m(h) = -7*h + 130. What is m(16)? 18 Let s(m) = m**2 - m - 1. What is s(5)? 19 Let d(u) = -3*u**2 - 3*u + 4. Determine d(2). -14 Let q(h) = 32*h**2 - h - 2. Determine q(-1). 31 Let q(v) = v**3 - 11*v**2 + 7*v + 12. What is q(10)? -18 Let t(w) = -20*w**2 + 3*w + 2. Calculate t(-1). -21 Let s(t) = 2*t - 1. Calculate s(5). 9 Let f(p) = p**3 - 3*p**2 - 7*p - 2. Determine f(5). 13 Let f(q) = q**2 - q - 5. What is f(4)? 7 Let d(s) = -8*s**3 - 3*s**2 + 14*s - 11. Determine d(1). -8 Let a(k) = k**3 + 15*k**2 - 16*k - 27. What is a(-16)? -27 Let l(y) = y**3 - 16*y**2 + 30*y - 2. Give l(15). 223 Let h(x) = 3*x - 17. Determine h(-10). -47 Let w(z) = z - 72. Determine w(34). -38 Let n(j) = -j**3 + 2*j**2 + j. Give n(2). 2 Let s(y) = -13*y**3 - y**2 - 2*y - 1. Give s(-1). 13 Let t(w) = 8*w - 196. What is t(23)? -12 Let z(h) = -6*h**3 + 2*h**2 - 3*h + 1. Calculate z(1). -6 Let q(p) = 2*p**2 - 2*p - 13. Determine q(-3). 11 Let d(p) = p**3 + 9*p**2 + 19*p + 3. What is d(-6)? -3 Let k(r) = -11*r - 95. Determine k(-9). 4 Let x(k) = 2*k + 11. Determine x(5). 21 Let x(j) = 2*j + 6. What is x(6)? 18 Let m(z) = -25*z + 308. Calculate m(12). 8 Let p(a) = -5*a**2 - 29*a + 5. Give p(-6). -1 Let u(l) = -l**2 - 2*l - 82. Calculate u(0). -82 Let n(b) = -b**3 + 2*b**2 - 100. Calculate n(0). -100 Let n(c) = c**3 - c**2 - 90*c - 7. Calculate n(10). -7 Let f(q) = q + 4. Give f(-9). -5 Let u(z) = 2*z**3 - 9*z**2 + 9*z - 5. Determine u(3). -5 Let z(g) = g**2 + 2*g + 1. Determine z(-1). 0 Let l(q) = -5*q - 1. Give l(-3). 14 Let c(a) = a**3 + 13*a**2 + 10*a - 24. What is c(-12)? 0 Let d(h) = -17*h - 4. Determine d(-4). 64 Let m(l) = l**3 + 8*l**2 + 3*l + 26. Give m(-8). 2 Let b(r) = 3*r + 9. Give b(-9). -18 Let m(y) = y**2 - 3*y - 1. Determine m(4). 3 Let k(x) = x**2 + 4*x - 27. What is k(-6)? -15 Let j(n) = -2*n**2 + 11*n - 3. Give j(9). -66 Let m(d) = -d + 9. Calculate m(10). -1 Let h(d) = -d**3 + 13*d**2 + 5*d + 2. Give h(13). 67 Let j(v) = -84*v - 239. What is j(-3)? 13 Let r(y) = -y**3 - 3*y**2 + 4*y + 4. Calculate r(-4). 4 Let k(c) = -c**3 + 6*c**2 - 6*c + 6. Calculate k(6). -30 Let l(p) = p**2 - 18*p + 29. What is l(15)? -16 Let n(y) = 10*y**3 + y**2. Determine n(1). 11 Let p(m) = 3*m**2 - 22*m + 26. Calculate p(6). 2 Let d(q) = -2*q - 2. Calculate d(-2). 2 Let l(f) = -3*f + 50. Determine l(15). 5 Let r(v) = -2*v**2 - 81*v - 190. Determine r(-38). 0 Let w(s) = s**2 + 8*s - 6. Determine w(-6). -18 Let c(z) = z**3 + 7*z**2 - z - 3. Calculate c(-8). -59 Let b(f) = -f**2 + 7*f - 16. Give b(5). -6 Let a(s) = -s**3 + 15*s**2 + 17*s - 20. Determine a(16). -4 Let v(h) = -2*h**3 - h**2 + 9*h + 3. Determine v(-3). 21 Let i(f) = -2*f**3 + 3*f**2 - 4*f + 4. Determine i(2). -8 Let y(g) = -g**2 + 14*g + 5. Give y(14). 5 Let u(v) = -3*v**3 - 1. Calculate u(-1). 2 Let l(o) = 2*o**2 - 18*o - 72. Determine l(13). 32 Let o(z) = z**2 - 7*z - 22. Calculate o(-2). -4 Let k(c) = -28*c**2 - 3*c - 2. What is k(-1)? -27 Let t(x) = 3*x**2 - 24*x + 1. Determine t(8). 1 Let n(p) = 2*p - 40. Determine n(18). -4 Let r(p) = -3*p**2 - 13*p + 36. Determine r(2). -2 Let p(q) = -6*q**3 - 2*q**2 + 1. Determine p(-1). 5 Let o(v) = v**3 - 11*v**2. Calculate o(11). 0 Let r(y) = 7*y**3 - y + 1. What is r(1)? 7 Let r(g) = g**2 + g - 2. What is r(7)? 54 Let y(t) = -t**3 + 4*t**2 - 5*t - 1. What is y(2)? -3 Let y(n) = -n**3 + 3*n**2 + 14*n + 5. What is y(5)? 25 Let r(l) = -l**2 - 6*l + 9. Give r(-7). 2 Let j(f) = f + 8. What is j(-2)? 6 Let f(n) = n**3 + 9*n**2 + 7*n - 6. Determine f(-6). 60 Let q(d) = d**3 - 10*d**2 + 8*d + 6. Give q(9). -3 Let n(y) = 2*y**2 + 18*y - 18. What is n(-13)? 86 Let z(q) = -q**3 + 16*q**2 + 18*q - 8. Calculate z(17). 9 Let y(n) = 25*n + 1. Determine y(-1). -24 Let w(u) = -u**3 + 5*u**2 - 16. Give w(5). -16 Let a(n) = -3*n**2 + n + 4. Give a(-2). -10 Let w(y) = y**2 - 12*y. Calculate w(11). -11 Let k(d) = -d - 30. Determine k(-22). -8 Let p(n) = -21*n - 318. What is p(-15)? -3 Let u(f) = -82*f**2 - 2*f - 1. Determine u(1). -85 Let a(r) = r - 4. What is a(-9)? -13 Let n(g) = -g + 20. What is n(19)? 1 Let k(b) = b**2 + 5*b - 6. What is k(-7)? 8 Let n(y) = y**3 + 22*y**2 + y + 13. Determine n(-22). -9 Let p(m) = -3*m + 13. Calculate p(7). -8 Let q(r) = 2*r + 13. Determine q(-10). -7 Let c(m) = 7*m + 17. What is c(-5)? -18 Let u(i) = -2*i + 1. What is u(3)? -5 Let z(c) = -6*c**3. Determine z(-1). 6 Let n(z) = z**3 - 3*z**2 - 4*z - 6. Determine n(4). -6 Let m(f) = 4*f**2 - 6*f - 4. Determine m(-1). 6 Let i(j) = -j**2 + 12*j + 18. Give i(14). -10 Let s(v) = -12*v**2 - 108*v + 6. Calculate s(-9). 6 Let v(w) = w**2 - 6*w + 3. What is v(4)? -5 Let v(f) = -f**2 - 2*f + 24. Calculate v(-7). -11 Let m(l) = 3*l + 21. Calculate m(-13). -18 Let b(l) = -2*l**2 + 20*l - 11. What is b(9)? 7 Let o(d) = -7*d - 2. Give o(13). -93 Let g(v) = -v**2 + 6*v - 8. Determine g(7). -15 Let h(s) = 28*s + 23. What is h(-1)? -5 Let b(r) = -r**3 - 12*r**2 + 15*r + 35. What is b(-13)? 9 Let j(w) = -w**3 - 11*w**2 - 15*w - 9. Determine j(-10). 41 Let r(n) = -n**3 + 17*n**2 + 37*n + 11. Give r(19). -8 Let z(j) = -5*j**3 + 3*j**2 - j - 2. Give z(2). -32 Let i(a) = -2*a**2 - 14*a - 8. Give i(-6). 4 Let g(w) = w**3 - 20*w**2 - 22*w + 31. Give g(21). 10 Let s(v) = 2*v**2 - 66*v - 78. Determine s(34). -10 Let m(c) = -c**3 - 7*c**2 - 4*c + 5. Determine m(-6). -7 Let t(p) = p**2 + 11*p + 14. Calculate t(-10). 4 Let z(m) = 12*m + 56. Give z(5). 116 Let z(c) = c**2 - 5*c - 6. Determine z(7). 8 Let c(r) = -r**3 + 6*r**2 - 5*r + 11. What is c(7)? -73 Let b(x) = -x**2 + 11*x - 13. Give b(9). 5
{ "pile_set_name": "DM Mathematics" }
base 9 2103 What is 13101 (base 5) in base 14? 534 Convert -1512 (base 6) to base 7. -1115 Convert -51 (base 16) to base 2. -1010001 Convert 1468 (base 9) to base 7. 3152 What is -160 (base 14) in base 9? -341 What is 33 (base 4) in base 11? 14 Convert -256a (base 16) to base 2. -10010101101010 What is -3221 (base 4) in base 16? -e9 112202010 (base 3) to base 7 43224 What is 175 (base 15) in base 13? 1ca What is 190 (base 16) in base 3? 112211 Convert -32a (base 11) to base 3. -112122 -12690 (base 10) to base 14 -48a6 -44355 (base 8) to base 15 -57e9 -24784 (base 10) to base 4 -12003100 What is -1604 (base 7) in base 8? -1201 What is -9ac8 (base 13) in base 3? -1002200000 122000011 (base 3) to base 11 9350 10101111000 (base 2) to base 15 635 What is 201 (base 6) in base 14? 53 124334 (base 5) to base 7 20326 Convert 2064 (base 10) to base 2. 100000010000 What is 1000110110011 (base 2) in base 5? 121111 -4454 (base 7) to base 10 -1607 What is 27243 (base 8) in base 12? 6aab What is -81ce (base 15) in base 3? -1101121112 What is -3002 (base 10) in base 15? -d52 Convert 22300 (base 6) to base 15. ddc What is -67636 (base 9) in base 10? -44988 Convert 27387 (base 10) to base 15. 81ac Convert -1000111101 (base 2) to base 8. -1075 Convert -11553 (base 7) to base 4. -233103 Convert -1235 (base 9) to base 16. -39b Convert -917 (base 11) to base 13. -672 What is 11101000 (base 2) in base 16? e8 Convert 150101 (base 6) to base 2. 11011111010101 Convert -100000001001110 (base 2) to base 9. -24521 What is 997 (base 14) in base 4? 131221 -121002000 (base 3) to base 10 -11718 What is 13131 (base 5) in base 2? 10000010001 Convert -27034 (base 9) to base 11. -12797 6c (base 16) to base 2 1101100 What is 101020 (base 3) in base 2? 100010100 Convert -6725 (base 15) to base 4. -11111210 Convert -338 (base 15) to base 3. -222222 Convert -c54a (base 13) to base 4. -12222013 What is -52146 (base 7) in base 3? -122112010 What is 6f1 (base 16) in base 2? 11011110001 What is 482 (base 14) in base 3? 1020021 -40021 (base 5) to base 11 -1983 3496 (base 14) to base 11 6967 Convert 2608 (base 14) to base 3. 100011010 Convert -b47c (base 16) to base 10. -46204 -1212202 (base 3) to base 11 -1036 Convert -1232 (base 10) to base 15. -572 57d (base 14) to base 12 76b What is da4 (base 14) in base 9? 3621 Convert 1000111011000111 (base 2) to base 12. 1919b Convert -521 (base 12) to base 4. -23221 What is -314 (base 5) in base 7? -150 Convert 111000000 (base 2) to base 14. 240 What is 2342 (base 9) in base 16? 6cb Convert 17165 (base 8) to base 6. 100033 What is 1110101011 (base 2) in base 8? 1653 Convert 83e2 (base 15) to base 12. 1417b Convert -2002134 (base 5) to base 16. -7b38 Convert 239 (base 11) to base 10. 284 What is -95b (base 16) in base 6? -15031 -25617 (base 8) to base 13 -50ca Convert -35211 (base 7) to base 13. -4152 1002421 (base 5) to base 2 11111001110010 Convert -153 (base 13) to base 8. -355 -112201 (base 3) to base 6 -1501 23605 (base 7) to base 4 1133302 Convert -4ae (base 15) to base 16. -428 Convert 6 (base 14) to base 11. 6 Convert -4373 (base 10) to base 4. -1010111 What is -1097 (base 10) in base 13? -665 Convert b0b (base 16) to base 8. 5413 Convert 2a53 (base 15) to base 2. 10001101110110 Convert 60764 (base 10) to base 4. 32311130 -4ad (base 16) to base 15 -54c -1ba (base 13) to base 9 -387 Convert -277 (base 12) to base 9. -461 Convert 240 (base 11) to base 4. 10132 What is -1154 (base 8) in base 5? -4440 What is 1302 (base 13) in base 2? 101010010010 -5525 (base 7) to base 11 -153a Convert 153115 (base 7) to base 13. 107c2 What is -210120 (base 3) in base 8? -1106 Convert b0ba (base 13) to base 8. 57400 What is 11111001100000 (base 2) in base 5? 1002333 Convert -10101112 (base 3) to base 16. -9a7 Convert 1311 (base 5) to base 16. ce 772 (base 9) to base 12 448 4104 (base 6) to base 15 404 -141660 (base 7) to base 8 -64722 Convert 55302 (base 6) to base 16. 1df6 Convert 11011010 (base 2) to base 7. 431 Convert -714 (base 10) to base 16. -2ca 5534 (base 15) to base 6 215321 What is -1000010001 (base 2) in base 11? -441 What is 2641 (base 8) in base 14? 74d What is -10101111110001 (base 2) in base 13? -5174 175a (base 13) to base 15 1055 What is -23447 (base 8) in base 12? -5973 Convert -50302 (base 10) to base 4. -30101332 Convert 5754 (base 8) to base 16. bec -2d5 (base 14) to base 16 -243 What is -5a4 (base 16) in base 14? -752 Convert -220 (base 5) to base 15. -40 Convert -111013 (base 4) to base 2. -10101000111 414 (base 6) to base 9 181 What is 21a2 (base 13) in base 7? 16455 What is 10663 (base 10) in base 7? 43042 What is -113105 (base 6) in base 13? -459b 42291 (base 10) to base 2 1010010100110011 -5421 (base 6) to base 16 -4d5 What is -21233 (base 4) in base 3? -212002 -4b24 (base 13) to base 14 -3c69 What is -18aa (base 16) in base 7? -24260 Convert 123441 (base 5) to base 13. 22a9 -796 (base 14) to base 10 -1504 -112a (base 11) to base 8 -2714 112220211 (base 3) to base 12 6364 Convert -2112112 (base 3) to base 15. -835 Convert -1330021 (base 4) to base 10. -7945 Convert -2022024 (base 5) to base 4. -13333330 Convert 2255 (base 8) to base 9. 1570 Convert 2044 (base 8) to base 7. 3043 111110100 (base 2) to base 8 764 -175653 (base 8) to base 11 -44450 6266 (base 7) to base 6 14112 What is 2873 (base 9) in base 11? 16a5 2032 (base 4) to base 16 8e -17697 (base 14) to base 15 -126dd 35121 (base 7) to base 12 5246 Convert a868 (base 13) to base 15. 6e08 Convert -2242 (base 6) to base 16. -212 What is 11424 (base 13) in base 7? 160506 Convert -3a4 (base 14) to base 16. -2dc Convert 123322 (base 4) to base 13. a75 What is c85 (base 14) in base 2? 100110100101 Convert 12210033 (base 4) to base 12. 13693 What is 38b (base 13) in base 10? 622 What is 5166 (base 8) in base 9? 3605 -1111111001 (base 2) to base 5 -13032 Convert -ca (base 13) to base 14. -bc Convert -1312 (base 8) to base 12. -4b6 -412 (base 14) to base 11 -668 What is -12120121 (base 3) in base 11? -3067 Convert 9cc (base 14) to base 2. 11110011000 Convert 200202 (base 4) to base 2. 100000100010 Convert 22000 (base 5) to base 4. 113130 What is -4551 (base 6) in base 7? -3064 What is 2001222 (base 4) in base 6? 102230 Convert -1dd (base 16) to base 15. -21c What is -1403510 (base 6) in base 15? -18449 224 (base 12) to base 6 1244 3cf (base 16) to base 14 4d9 What is -2a9 (base 15) in base 7? -1530 What is 12141 (base 7) in base 16? c5d What is 334 (base 13) in base 10? 550 Convert 14 (base 11) to base 5. 30 1759 (base 11) to base 4 203002 Convert -45b (base 15) to base 10. -986 What is 2143 (base 9) in base 7? 4413 What is -1011110 (base 2) in base 10? -94 What is 11a38 (base 12) in base 7? 126551 110101010 (base 2) to base 10 426 Convert -1ba (base 16) to base 12. -30a Convert -3131430 (base 5) to base 12. -261ab Convert -3401 (base 8) to base 10. -1793 Convert -2745 (base 9) to base 13. -c2c What is -20210111 (base 3) in base 13? -2341 -541 (base 6) to base 13 -12a Convert -110110110100 (base 2) to base 12. -2044 What is 1270 (base 15) in base 6? 30110 What is -46 (base 9) in base 4? -222 Convert -12a98 (base 11) to base 9. -27478 -144 (base 6) to base 14 -48 Convert -126713 (base 8) to base 4. -22313023 -56020 (base 7) to base 9 -21271 -1130 (base 11) to base 4 -113031 Convert -982d (base 15) to base 7. -162634 What is 50355 (base 6) in base 16? 19df What is 248 (base 11) in base 8? 446 What is -3414 (base 6) in base 5? -11202 Convert -6776 (base 10) to base 14. -2680 -4314 (base 5) to base 8 -1110 Convert -5194 (base 12) to base 10. -8896 53730 (base 8) to base 12 11020 What is 12c6 (base 15) in base 4? 332223 4bc (base 15) to base 4 100311 Convert -7248 (base 10) to base 14. -28da -1232 (base 6) to base 4 -10310 What is -1010 (base 7) in base 2? -101011110 Convert 103403 (base 5) to base 7. 13335 What is -221101 (base 3) in base 16? -2ad 40663 (base 7) to base 6 114011 Convert 544320 (base 6) to base 2. 1010111111111000 -110043 (base 5) to base 12 -2225 Convert 110222 (base 3) to base 16. 15e 2430 (base 5) to base 13 221 -28822 (base 10) to base 12 -1481a -35044 (base 6) to base 10 -4996 Convert -1fa (base 16) to base 3. -200202 What is -4430 (base 7) in base 6? -11205 What
{ "pile_set_name": "DM Mathematics" }
(b) y (c) -3 c Let g = 3.03 - 0.03. Let f be -20 - -20 - (-5)/(5/4). Which is the closest to 3? (a) 0.4 (b) g (c) f b Let d = -34 + 34.2. Let t = 0 + 0. What is the closest to t in d, 5, 4? d Let p = 5 + -4.8. Let o = 0.79 + 0.11. Let b = o - 1. What is the closest to 1 in b, p, 1? 1 Let l = -0.34 + -0.16. Let s = 0.6 + l. What is the closest to s in -0.4, -4/3, 0.2? 0.2 Let o = 0.029 + -0.129. Which is the nearest to o? (a) -2/5 (b) 4 (c) 3/5 a Let i = -103/144 + 15/16. What is the closest to 2/5 in -4, 1, i? i Let y = -4 + 3. Let m = 0.9 + y. Suppose -12*h + 11*h = -4. Which is the closest to -0.1? (a) m (b) h (c) 4/3 a Let n = 2.9 - 3. Suppose 0 = -3*z + 3*s - 18, -3*s - 12 = 4*z + 5. What is the nearest to 1 in 1, n, z? 1 Let w = 2/23 + -85/184. What is the nearest to 0.1 in 2, -0.1, w? -0.1 Let u = 45 + -50. Let k = -0.3 - -0.4. Let f = k - 0. Which is the closest to f? (a) -4 (b) u (c) 0.1 c Let o(a) = -a**2 + 2*a + 1. Let u be o(3). Let t be u/10*(-15)/(-6). Suppose 0 = 2*z - 5*z + 6. What is the closest to t in 1/5, 5, z? 1/5 Let j be (-10)/35 - (-3208)/(-42). Let x = 76 + j. Which is the nearest to x? (a) -0.3 (b) 5 (c) -1 c Suppose 3*i - 21 = j, -3*j + 2*i = 12 + 44. Let a = -3005/172 + -5/172. Let o = j - a. What is the closest to -1/4 in 1, 3, o? o Let g = 0.32 - -0.08. Which is the closest to 1? (a) -1/2 (b) g (c) 1/3 b Let i = -3.8 - 0.2. Let y be 1/(-3) + (-20)/(-6). Let z be (-8)/y - (3 - 5). Which is the closest to z? (a) -2 (b) i (c) -2/7 c Let d = -0.07 - -7.07. Let m = 3 - d. Which is the nearest to 2/3? (a) 1/3 (b) 0 (c) m a Suppose -12 = x - 9. Let i = 0.2 + 0. What is the nearest to -2 in 0.3, x, i? x Let f = 15 - 5. Let y = f - 9. Let z = 15 + -29/2. Which is the nearest to y? (a) z (b) 3 (c) -3 a Let m be 1 + (-1)/(3/(-6)). Suppose m = 4*d - 1. Suppose -4*l = -2*n + 22, 5*n + 5*l + d = l. What is the closest to 0 in 5, n, -1/5? -1/5 Let m = -55 - -58. Which is the nearest to -2/3? (a) m (b) 0 (c) -4 b Suppose x - 11 = -4*l, 4*l - 19 = -l + 4*x. Suppose q - 3 = -5. Let f = 4 + q. What is the nearest to 1/2 in 1/4, f, l? 1/4 Let r = 0.9 + -1. Let g = -19/44 + 2/11. Which is the nearest to r? (a) g (b) -3 (c) 5 a Let u = 5 - 4.7. Let s be (-2 + 1)*(-2)/(-8). Which is the nearest to -3/5? (a) s (b) u (c) 3 a Let j = -0.2 + -0.2. Let p = -0.22 - 1.78. Which is the closest to p? (a) j (b) -0.3 (c) -4 a Let z = -0.3 + 0.29. What is the nearest to 1 in z, -3, 4? z Let k be (-13)/2*(-1 + 3). Let w = -12 - k. Let x = -0.2 + 0. Which is the closest to -1? (a) 0.1 (b) x (c) w b Let n = 2 - 2.1. Let j(m) = 3*m - 43. Let u be j(16). What is the nearest to n in u, 0.3, -0.2? -0.2 Let o = -0.343 - 0.057. Which is the nearest to o? (a) -0.4 (b) 1 (c) 2 a Let w be (-12)/(-8)*20/45. Let n(p) = -p - 9. Let v be n(-8). Let d = -19/24 - -1/24. Which is the nearest to v? (a) 2/21 (b) w (c) d c Let x = 82 - 81. What is the closest to x in -3/4, -0.2, -4/7? -0.2 Let k = -2.8 - -3. Let j be (-5)/(60/(-8))*-1. Which is the closest to j? (a) 0.3 (b) k (c) -2 b Let a = -11 - -10. Let j = -5.03 + 0.03. What is the closest to -0.1 in 4, a, j? a Let z = -23 + 23.046. Let u = z - 4.246. Let k = 4 + u. What is the nearest to 0.2 in 1/3, k, -1? 1/3 Let k = -104/7 + 326/21. What is the closest to 0.1 in k, -2, 0.1? 0.1 Let y = 19.5 - 20. Which is the closest to 2? (a) y (b) -0.6 (c) -4 a Suppose 0 = 3*a - 59 - 43. Let s = 168/5 - a. What is the nearest to s in -1/3, -3, -0.4? -0.4 Let s be (-1)/((30/9)/((-4)/(-6))). Let o be 4/(-18) + 58/18. Which is the nearest to s? (a) -2/9 (b) o (c) -0.3 a Let s = 1.06 - 0.06. Let k = -14 + 17. What is the closest to s in 1, k, 0.5? 1 Let i = 4.6 - -0.4. Let z = -0.1 + -0.9. What is the closest to -1/2 in i, 3/5, z? z Let k = 44 - 48.7. Let z = k - -5. Let u = 0.2 - 0.2. Which is the closest to u? (a) 0.5 (b) 2/15 (c) z b Let m = 15 - 18. Which is the nearest to 0.1? (a) -1/11 (b) m (c) 0.5 a Let z = -15 - -19.5. Let n = 5 - z. Let x(f) = 2*f + 3. Let d be x(-4). Which is the closest to 0.2? (a) d (b) -1/5 (c) n c Let t = -1.1 + 0.1. Let k be 1/(-3)*(4 - 3). Let a(v) = 4*v**3 + v. Let i be a(1). What is the closest to k in t, 0, i? 0 Let n be (-2)/7 + 26/(-7). Let x = 11 + -9.2. Let q = 1.8 - x. Which is the closest to q? (a) 5 (b) 0.1 (c) n b Let k(u) = -u + 2. Let g be k(3). Let m = 18 + -25. Let o = m - -22/3. What is the closest to g in -0.4, 3, o? -0.4 Suppose 4*f = 4*g - 22 + 6, 5*g + 2*f = 20. Suppose 5*i - 4*p + 26 = -3*p, 3*i = 4*p - 2. Let h = g + i. Which is the closest to 1? (a) 5 (b) h (c) -1/5 c Let g = -34 - -34.3. Which is the nearest to -8? (a) -3/7 (b) g (c) -2 c Let z be 3012/(-1640) + 0 + 1. Let t = -3/82 - z. Which is the nearest to -0.1? (a) 0.3 (b) t (c) -3 a Let j = -9 - -11. What is the nearest to 1 in -1, -4, j? j Let j = 0.2 + -3.2. Let v be 2/1 - ((-129)/(-27) - 3). Which is the nearest to v? (a) j (b) -0.2 (c) 2/3 b Let s = -4 + 4. Let k = -1.6 + 2.4. Let m = k + -0.7. Which is the nearest to s? (a) m (b) -4/5 (c) -2/11 a Let n = 4 - 1. Which is the nearest to -1? (a) 0.4 (b) -3/4 (c) n b Let j = -0.06 + 0.09. Let x = 2.97 + j. Let s be -2 - (40/(-22))/1. Which is the nearest to -2/5? (a) x (b) 0.1 (c) s c Let r = -1 - 0. Let l(q) = -3*q + 3. Let k be l(2). Which is the closest to 0.1? (a) k (b) r (c) 4 b Suppose 2*n - 10 = -z, -n - z + 5*z = 13. Let l = -0.2 + 0.1. Suppose -3*j = 2 + 1. Which is the nearest to j? (a) l (b) n (c) 4 a Let p = 1.1 + -1.1. Let l = 8 + -9. Suppose -t - 9 = -4*t. What is the closest to l in t, -0.3, p? -0.3 Let r = 0.22 - -1.78. Let i(m) = m**3 + 3*m**2 - 4. Let n be i(-3). What is the nearest to -0.1 in r, n, -1/3? -1/3 Let h = 12 + -13. What is the nearest to -2 in h, -0.1, 4? h Let u(h) = h**3 + 3*h**2 + 3*h. Let p be u(-2). Let f = 1.4 - 1.1. Which is the nearest to -2? (a) 0.5 (b) p (c) f b Let o = -16.8 + 17. What is the nearest to -0.2 in -0.5, 2/13, o? -0.5 Let r = 0.38 + 0.02. Let h = -7 - -4. Let u be (2/4)/(5/4). What is the nearest to u in r, h, -5? r Suppose -3 = 4*x - 19. Suppose 0 = s, x*y - 5*s = 3*y + 3. Let h be (9/(-6))/(y/4). What is the nearest to -1 in -1/4, h, 3? -1/4 Let n = -2.24 - -0.34. Let x = -2 - n. Let z = 181 + -1631/9. Which is the closest to x? (a) 3/8 (b) -0.1 (c) z b Let w = 12 + -16. Let k = 3.68 - 0.18. Let x = k + w. What is the closest to -1/2 in 0, -3/7, x? x Let m = -5 + 4.5. Let q = -0.4 - m. Which is the nearest to -1/3? (a) 2/11 (b) q (c) -3/5 c Let w = -5.22 - -0.22. Let s be 3*1*4/6. Let p = 3 - s. What is the closest to 1 in p, 3/7, w? p Let u = 0.4 + -0.2. Let p = u - 0.1. Let w = -5.1 + 0.1. Which is the nearest to 0.1? (a) w (b) p (c) -3 b Let k = 0.144 + 4.856. Which is the closest to 1? (a) 7/3 (b) -0.4 (c) k a Let g = 2 - 1. Let h = 0.84 + -0.14. Let m = h - 2.7. Which is the closest to g? (a) m (b) 3/4 (c) 2/3 b Let g = -6 - -11. Let i = -24 - -24. Which is the closest to 0? (a) 4 (b) g (c) i c Let f = 20 - 21. Let y be (2 + (-4)/6)*-3. Let m = -5 - -5.4. Which is the closest to f? (a) m (b) y (c) -0.5 c Let h = 5 - 2. Let t = h - 0. Let n = -67 + 67. Which is the nearest to n? (a) 5 (b) t (c) -0.3 c Let y = -9 - -10. What is the closest to y in 1/4, -2, 0? 1/4 Let w = -7/10 + -11/20. What is the closest to 0.17 in -2, w, 3? w Let l be 6/4*9/1323. Let d be ((-1)/12)/((-98)/282). Let z = d + l. Which is the closest to z? (a) -0.3 (b) 1 (c) 0.4 c Let r = -11.5 - -12. Let o be (-1)/5 + 3/(-35). Let s = 0.1 + 0.9. What is the closest to o in r, 3, s? r Let b be 1/4 + 62/8. Let q be ((-2)/(-28))/(2/b). Let z = -147/4 + 37. What is the nearest to q in -5, 5, z? z Let n = 221 - 1553/7. What is the closest to 6/11 in -1, n, -2/3? -2/3 Let g = -0.72 + 0.72. What is the nearest to g in 2/9, -5, 1? 2/9 Let j = -78 + 130. Let y = -53.95 + j. Let o = y + -0.05. Which is the nearest to -1? (a) o (b) 1 (c) -1 c Let x = 119/3 + -40. Which is the closest to 1/4? (a) 3/4 (b) x (c) 2/3 c Let m = -37 + 36.9. What is the nearest to m in -2, -0.2, -3? -0.2 Let z(k) = 2*k + 9. Let j be z(-3). Which is the closest to 0.3? (a) -3 (b) 5 (c) j c Suppose -7*t + 2*t + 4*w = -38, 0 = -2*w + 6. L
{ "pile_set_name": "DM Mathematics" }
s divided by 37. 13 What is the remainder when 1709 is divided by 59? 57 What is the remainder when 16903 is divided by 115? 113 What is the remainder when 1102 is divided by 339? 85 What is the remainder when 496 is divided by 78? 28 What is the remainder when 1432 is divided by 242? 222 Calculate the remainder when 954 is divided by 36. 18 What is the remainder when 211 is divided by 56? 43 What is the remainder when 190 is divided by 50? 40 What is the remainder when 2234 is divided by 316? 22 Calculate the remainder when 166 is divided by 34. 30 Calculate the remainder when 281 is divided by 6. 5 What is the remainder when 198 is divided by 40? 38 What is the remainder when 1175 is divided by 11? 9 Calculate the remainder when 57 is divided by 20. 17 Calculate the remainder when 232 is divided by 110. 12 What is the remainder when 38 is divided by 23? 15 Calculate the remainder when 1382 is divided by 345. 2 Calculate the remainder when 15 is divided by 9. 6 What is the remainder when 106 is divided by 3? 1 What is the remainder when 679 is divided by 669? 10 Calculate the remainder when 40 is divided by 30. 10 Calculate the remainder when 989 is divided by 53. 35 Calculate the remainder when 950 is divided by 53. 49 What is the remainder when 1825 is divided by 31? 27 What is the remainder when 5167 is divided by 235? 232 What is the remainder when 584 is divided by 12? 8 Calculate the remainder when 148 is divided by 11. 5 Calculate the remainder when 2780 is divided by 87. 83 Calculate the remainder when 227 is divided by 8. 3 What is the remainder when 610 is divided by 51? 49 What is the remainder when 2883 is divided by 7? 6 Calculate the remainder when 6486 is divided by 151. 144 Calculate the remainder when 964 is divided by 54. 46 Calculate the remainder when 4179 is divided by 76. 75 Calculate the remainder when 202 is divided by 183. 19 Calculate the remainder when 1629 is divided by 265. 39 Calculate the remainder when 201 is divided by 102. 99 What is the remainder when 344 is divided by 81? 20 What is the remainder when 302 is divided by 18? 14 Calculate the remainder when 17 is divided by 9. 8 Calculate the remainder when 757 is divided by 95. 92 Calculate the remainder when 183 is divided by 8. 7 Calculate the remainder when 93 is divided by 92. 1 What is the remainder when 33 is divided by 7? 5 What is the remainder when 701 is divided by 11? 8 What is the remainder when 232 is divided by 8? 0 What is the remainder when 1833 is divided by 911? 11 What is the remainder when 107 is divided by 54? 53 What is the remainder when 295 is divided by 106? 83 What is the remainder when 267 is divided by 70? 57 What is the remainder when 192 is divided by 39? 36 Calculate the remainder when 185 is divided by 37. 0 What is the remainder when 83 is divided by 13? 5 Calculate the remainder when 724 is divided by 13. 9 What is the remainder when 836 is divided by 12? 8 What is the remainder when 537 is divided by 60? 57 Calculate the remainder when 223 is divided by 75. 73 What is the remainder when 10265 is divided by 58? 57 Calculate the remainder when 252 is divided by 30. 12 Calculate the remainder when 43 is divided by 20. 3 What is the remainder when 434 is divided by 29? 28 What is the remainder when 871 is divided by 23? 20 Calculate the remainder when 3773 is divided by 22. 11 What is the remainder when 1506 is divided by 130? 76 Calculate the remainder when 302 is divided by 19. 17 Calculate the remainder when 8099 is divided by 81. 80 Calculate the remainder when 448 is divided by 149. 1 Calculate the remainder when 60 is divided by 15. 0 What is the remainder when 248 is divided by 138? 110 Calculate the remainder when 1010 is divided by 23. 21 Calculate the remainder when 200 is divided by 18. 2 Calculate the remainder when 794 is divided by 199. 197 Calculate the remainder when 1509 is divided by 22. 13 What is the remainder when 18609 is divided by 198? 195 Calculate the remainder when 289 is divided by 25. 14 Calculate the remainder when 1289 is divided by 15. 14 What is the remainder when 2264 is divided by 750? 14 What is the remainder when 214 is divided by 18? 16 Calculate the remainder when 320 is divided by 57. 35 What is the remainder when 399 is divided by 45? 39 What is the remainder when 1645 is divided by 9? 7 Calculate the remainder when 29 is divided by 8. 5 Calculate the remainder when 212 is divided by 153. 59 What is the remainder when 63 is divided by 27? 9 What is the remainder when 640 is divided by 126? 10 What is the remainder when 100 is divided by 57? 43 What is the remainder when 1124 is divided by 9? 8 Calculate the remainder when 569 is divided by 196. 177 Calculate the remainder when 10959 is divided by 8. 7 Calculate the remainder when 1366 is divided by 49. 43 Calculate the remainder when 15679 is divided by 160. 159 What is the remainder when 1832 is divided by 18? 14 What is the remainder when 762 is divided by 212? 126 What is the remainder when 23039 is divided by 120? 119 Calculate the remainder when 47918 is divided by 20. 18 What is the remainder when 330 is divided by 81? 6 Calculate the remainder when 193 is divided by 92. 9 What is the remainder when 46 is divided by 12? 10 What is the remainder when 1010 is divided by 146? 134 Calculate the remainder when 5183 is divided by 17. 15 What is the remainder when 44 is divided by 18? 8 What is the remainder when 821 is divided by 165? 161 What is the remainder when 708 is divided by 177? 0 What is the remainder when 7 is divided by 5? 2 What is the remainder when 30 is divided by 11? 8 What is the remainder when 2213 is divided by 82? 81 What is the remainder when 315 is divided by 23? 16 What is the remainder when 2170 is divided by 17? 11 What is the remainder when 33 is divided by 11? 0 Calculate the remainder when 19678 is divided by 164. 162 Calculate the remainder when 208 is divided by 46. 24 What is the remainder when 1165 is divided by 73? 70 What is the remainder when 386 is divided by 28? 22 What is the remainder when 982 is divided by 76? 70 What is the remainder when 13107 is divided by 57? 54 Calculate the remainder when 150 is divided by 63. 24 Calculate the remainder when 266 is divided by 29. 5 What is the remainder when 332 is divided by 31? 22 What is the remainder when 1757 is divided by 2? 1 What is the remainder when 1673 is divided by 246? 197 Calculate the remainder when 425 is divided by 53. 1 Calculate the remainder when 252 is divided by 3. 0 What is the remainder when 1235 is divided by 82? 5 Calculate the remainder when 17371 is divided by 362. 357 Calculate the remainder when 561 is divided by 18. 3 Calculate the remainder when 117 is divided by 7. 5 Calculate the remainder when 1103 is divided by 8. 7 Calculate the remainder when 1543 is divided by 43. 38 What is the remainder when 219 is divided by 58? 45 What is the remainder when 217 is divided by 14? 7 Calculate the remainder when 88 is divided by 70. 18 Calculate the remainder when 11241 is divided by 11. 10 What is the remainder when 174 is divided by 11? 9 What is the remainder when 23 is divided by 13? 10 Calculate the remainder when 1619 is divided by 18. 17 What is the remainder when 57 is divided by 15? 12 What is the remainder when 247 is divided by 69? 40 What is the remainder when 25 is divided by 14? 11 What is the remainder when 407 is divided by 154? 99 Calculate the remainder when 53 is divided by 19. 15 Calculate the remainder when 204 is divided by 15. 9 Calculate the remainder when 704 is divided by 216. 56 Calculate the remainder when 64 is divided by 1. 0 What is the remainder when 2061 is divided by 76? 9 What is the remainder when 147 is divided by 124? 23 What is the remainder when 85 is divided by 19? 9 Calculate the remainder when 24 is divided by 7. 3 What is the remainder when 25270 is divided by 243? 241 Calculate the remainder when 1958 is divided by 958. 42 What is the remainder when 353 is divided by 85? 13 Calculate the remainder when 614 is divided by 201. 11 Calculate the remainder when 4755 is divided by 71. 69 What is the remainder when 538 is divided by 107? 3 What is the remainder when 372 is divided by 125? 122
{ "pile_set_name": "DM Mathematics" }
c) -5 a What is the fifth smallest value in 24, 0.3, 3, 4, -18? 24 What is the second biggest value in 5, -42, 23? 5 What is the third biggest value in -159/50, 45, 4? -159/50 What is the third smallest value in 1, 10580, -4, -0.5? 1 Which is the third smallest value? (a) 6/55 (b) -5 (c) -484 a Which is the biggest value? (a) 0.007 (b) 0.05 (c) 2/3 (d) -2/11 c What is the third smallest value in -0.13, 15, -378? 15 Which is the fourth biggest value? (a) -325/62 (b) 0.3 (c) 4 (d) -2/3 a Which is the smallest value? (a) 250 (b) -1/56 (c) 0.2 b Which is the biggest value? (a) -2/19 (b) 1/23 (c) 1 (d) -2/39 (e) -2/17 c What is the third biggest value in 651, 0.3, 1, 0.4, -0.5, 3? 1 What is the smallest value in -2/11, 1/7, -28456? -28456 What is the smallest value in 3/5, -86, 112? -86 Which is the fourth smallest value? (a) -1 (b) 1/581 (c) 4 (d) -2/3 c Which is the second biggest value? (a) -33 (b) -44 (c) 32 a What is the second smallest value in -4, -8, 4, -5, -2? -5 Which is the smallest value? (a) 0.08 (b) 5 (c) -10 (d) -1/5 (e) 0.1 c Which is the second biggest value? (a) -13 (b) 0 (c) 2/7 (d) 2179 c Which is the second smallest value? (a) 1 (b) -1 (c) -2 (d) 59937 b What is the third biggest value in -0.1, -7/8, 1/12, -104? -7/8 Which is the third biggest value? (a) 7 (b) 2/21 (c) 5 (d) 2/7 (e) 3/4 (f) -17/141 e Which is the smallest value? (a) -3/5 (b) 0.2 (c) -2/27 (d) 3 (e) 0.3 a Which is the third biggest value? (a) -1/7 (b) 23 (c) 10.3 a Which is the fourth biggest value? (a) 1 (b) 6 (c) 5 (d) 0.09 (e) 2/11 (f) -2/7 e What is the third biggest value in -2/17, -2/9, -14, 16, -5? -2/9 Which is the third biggest value? (a) -119 (b) -5/2 (c) -1/3 a Which is the second biggest value? (a) 0.2 (b) 7 (c) -1/9 (d) -4 a Which is the third smallest value? (a) 2/59 (b) -2/7 (c) 0 (d) 1/5 (e) 3 (f) 100 a What is the third biggest value in 35.5, -5, 4.31? -5 Which is the biggest value? (a) 5 (b) -0.005 (c) -44 (d) 7/3 a Which is the third smallest value? (a) -3/23 (b) 293 (c) 0.5 b What is the fourth smallest value in -3, -4, -2492, 1/5? 1/5 Which is the fourth smallest value? (a) -0.04 (b) -1/7 (c) 13 (d) 4/171 c Which is the biggest value? (a) 4.3 (b) -24 (c) -3/7 (d) 0.03 a Which is the biggest value? (a) 0.2 (b) -519 (c) 5 (d) 1 (e) 2 c What is the third smallest value in 5, -5603/2, 4? 5 What is the third smallest value in -5, 0, 3/7, 70/17? 3/7 What is the third biggest value in -24, 5, -18, 0.5? -18 What is the second smallest value in -5608, 9/4, 1/4? 1/4 Which is the second smallest value? (a) 4 (b) -1.8 (c) 0.5 (d) 1 (e) 2/3 (f) 0.1 f What is the biggest value in -56.95, -1/8, 5? 5 Which is the fourth biggest value? (a) -2 (b) 5 (c) 2/3 (d) -2/11 (e) -6 (f) -1 f What is the third biggest value in -3/4, -2.3, 15/8, -0.4, -6? -3/4 Which is the third biggest value? (a) 0.5 (b) 5 (c) -0.0354 (d) -0.5 (e) 1 a Which is the smallest value? (a) -2/9 (b) 3/5 (c) 6983 a Which is the smallest value? (a) -1307/4 (b) 0.5 (c) 0 a What is the fifth smallest value in 0.151, 0.09, -9, -0.1, -1/2? 0.151 Which is the second biggest value? (a) 15.5 (b) 1/3 (c) 0.226 b What is the biggest value in -186, -2.3, 5/6? 5/6 Which is the sixth smallest value? (a) -1021 (b) 0.05 (c) -3/4 (d) 0.5 (e) 4/7 (f) -3 e Which is the third smallest value? (a) 0.044 (b) -5 (c) 0.3 (d) 2/11 (e) -2 (f) 2/9 a What is the fourth biggest value in -0.4, 82, -0.2, 23/5, -4, 0? -0.2 What is the smallest value in 0, -3, -2/5, -49, 0.38, 2? -49 What is the fifth smallest value in -3, -4, -112, 9, -63? 9 What is the second biggest value in 7, -3/20, -93? -3/20 What is the third biggest value in -56, -1, 2504? -56 Which is the third smallest value? (a) 2 (b) -170/197 (c) 1 a What is the sixth biggest value in -0.3, -0.4, -1, -2, -2/7, -39? -39 Which is the smallest value? (a) 0.6 (b) 0.0586 (c) -1/4 (d) -3 d Which is the sixth biggest value? (a) -1 (b) 2/13 (c) 3 (d) -3/5 (e) -0.3 (f) -168 f Which is the second smallest value? (a) 0.532 (b) 3/2 (c) -0.01 a What is the second smallest value in -11, -2, -133? -11 Which is the biggest value? (a) -5 (b) -1/4 (c) 4867 (d) 5 c Which is the smallest value? (a) 3/5 (b) 1132423 (c) 1 a Which is the second smallest value? (a) 0.3 (b) 0.01 (c) 5 (d) 0.054 d What is the second smallest value in -2/5, -2/15, -2/435? -2/15 What is the smallest value in 0, 0.3, 3/5, 1/6? 0 What is the third smallest value in 0.1, 0.3, -0.392, -0.5? 0.1 Which is the fourth smallest value? (a) 36/5 (b) 1/6 (c) 0.227 (d) -4 a What is the sixth smallest value in 21/2, -2, -1/6, 6, -0.3, 0.15? 21/2 Which is the fourth biggest value? (a) -0.5 (b) 7 (c) -8/7 (d) 5 (e) -38 c Which is the second smallest value? (a) 3087 (b) 0.5 (c) 3 (d) -0.1 (e) -1/3 (f) 4 d Which is the second biggest value? (a) -1 (b) 3 (c) -62 (d) 13 (e) 7 e Which is the second biggest value? (a) 0 (b) -7 (c) 4 (d) -70 a Which is the smallest value? (a) 0.03 (b) 8/3 (c) 2/9 (d) 1 (e) 39 a Which is the fourth smallest value? (a) -1 (b) 2/7 (c) 38.4 (d) -23 c Which is the fifth smallest value? (a) -6/71 (b) 1/7 (c) -1/4 (d) -0.12 (e) -1/8 b Which is the sixth biggest value? (a) 0.3 (b) -111 (c) 1 (d) 2/13 (e) 43 (f) -15 b Which is the smallest value? (a) -9 (b) 0.24 (c) -2/47 (d) -7 a What is the second smallest value in -2950, 27, -2? -2 Which is the third smallest value? (a) 4690 (b) 5 (c) -0.01 (d) -4 b Which is the second smallest value? (a) -164 (b) 0.5 (c) 5.5 b Which is the second smallest value? (a) -9 (b) -20/9 (c) -0.71 (d) -0.2 (e) 0 b What is the fifth biggest value in -0.1, 20.31, 3, -1, 0.2? -1 Which is the fifth biggest value? (a) -1/4 (b) 0.3 (c) 5 (d) 3/2 (e) 16 a What is the third smallest value in -2/5, 0.07, -278.7? 0.07 Which is the second biggest value? (a) -306 (b) -2 (c) 5 b Which is the smallest value? (a) -2/21 (b) 8614 (c) 5 a Which is the biggest value? (a) 1/317 (b) -3/5 (c) -600 a What is the smallest value in -3/4, -7.2, 4/15, -0.024, -5/3? -7.2 What is the second smallest value in -1.5, 11, -10/7? -10/7 Which is the fourth biggest value? (a) 1/6 (b) 4 (c) 5/7 (d) 1063 (e) -5 a What is the second smallest value in -2/7, -22/9, -1615? -22/9 What is the third biggest value in -1/6, 2/3, 3, -15, 0? 0 What is the second smallest value in -18, 28, -21, -2? -18 Which is the third smallest value? (a) 1.6 (b) 2/23 (c) -28 (d) -0.4 b What is the third smallest value in 3/5, 8, 1, 0.245? 1 Which is the biggest value? (a) -21 (b) 9 (c) -4 (d) 12 d What is the sixth smallest value in 0.06, -315, 2/5, 5, -4/9, 2/19? 5 Which is the fourth biggest value? (a) -0.1 (b) -2/9 (c) 0 (d) -0.11 (e) -1/5 (f) 3/4 d What is the third smallest value in -0.3, 0.1, 3, -2/173, -9.9? -2/173 Which is the second biggest value? (a) -1/6 (b) -36 (c) 0.08 a What is the second biggest value in 0.01, 27, 0.4, 4/7, 0.1, 13? 13 What is the smallest value in 0.2, 11945, -0.5, 0.3? -0.5 Which is the fourth smallest value? (a) -0.3 (b) 0.3 (c) 1.1 (d) -2 (e) 0.07 b Which is the third biggest value? (a) 0 (b) -0.4 (c) 2 (d) -11 (e) -1 (f) -1.61 b Which is the third smallest value? (a) -4 (b) -1/8 (c) -0.2 (d) 1/218 (e) 10 b What is the third biggest value in -0.03, -5, -1727, 1/5, -10, -0.5? -0.5 Which is the second smallest value? (a) 2 (b) 0 (c) -2/21 (d) 5 (e) -6 (f) -16 e Which is the smallest value? (a) -2/3 (b) -0.73 (c) 323 b Which is the smallest value? (a) -1 (b) 825.7 (c) 2 (d) 5 (e) -4 e Which is the second biggest value? (a) -4/3 (b) -1.3 (c) -1/2 (d) 9 c Which is the third smallest value? (a) 575 (b) 0.13 (c) -7 a Which is the biggest value? (a) 5 (b) 2/57 (c) -5 (d) 15.4 (e) 4 d What is the second smallest value in 5, -2.5, 416, 0.21? 0.21 Which is the fourth biggest value? (a) 0 (b) -5 (c) 0.4 (d) 15 (e) -1.9 e What is the biggest value in -2, -6166, 3/4? 3/4 Which is the fifth biggest value? (a) 0.172 (b) 1.5 (c) 5 (d) 7 (e) -2 e Which is the fourth biggest value? (a) 0.4 (b) 2 (c) 0.01 (d) -0.2 (
{ "pile_set_name": "DM Mathematics" }
+ 2)/2 Determine t, given that 4 - 3*t**4 + 389*t + 3*t**2 - 4 - 18*t**3 - 371*t = 0. -6, -1, 0, 1 Let f(w) be the third derivative of 2*w**7/105 - 2*w**6 - 62*w**5/5 - 94*w**4/3 - 42*w**3 + 445*w**2. Factor f(z). 4*(z - 63)*(z + 1)**3 Let n(o) be the third derivative of o**7/210 - 7*o**6/120 + o**5/4 - 13*o**4/24 + 2*o**3/3 + 72*o**2. Suppose n(h) = 0. What is h? 1, 4 Let v = 12/167 - -23165/668. Let i = -67/2 + v. Factor w + 0 + 1/4*w**4 + i*w**3 + 2*w**2. w*(w + 1)*(w + 2)**2/4 Let t(f) be the first derivative of -5*f**6/6 - 3*f**5 + 5*f**4/4 + 35*f**3/3 - 20*f + 105. Let t(h) = 0. What is h? -2, -1, 1 Let c(o) be the second derivative of -o**4/24 + o**3/2 + 27*o**2/4 - 5*o - 8. Find k such that c(k) = 0. -3, 9 Let y(o) be the third derivative of -o**5/3 - 3*o**4/2 - 8*o**3/3 + 3*o**2 + 14*o. Suppose y(u) = 0. Calculate u. -1, -4/5 Factor -462*m + 3*m**3 + 333 + 81*m**2 + 58 + 185 + 0*m**3. 3*(m - 3)*(m - 2)*(m + 32) Suppose -65*b - 2 = -66*b. Factor 93 + c - c**b - 91 + 0*c. -(c - 2)*(c + 1) Let x be 2 - 30/20 - 6/12. Suppose i**2 + 1/2*i**4 - 3/2*i**3 + 0*i + x = 0. Calculate i. 0, 1, 2 Let j(g) be the third derivative of -g**7/945 + g**6/270 + g**5/90 - g**4/27 - 4*g**3/27 - 90*g**2. What is s in j(s) = 0? -1, 2 Let g be -11 + (-370)/(-40) - (-21)/12. Solve -2/11*r + 24/11*r**3 - 28/11*r**4 + 10/11*r**5 - 4/11*r**2 + g = 0. -1/5, 0, 1 Factor -44*q**3 + 90*q**3 - 80*q**2 - 44*q**3. 2*q**2*(q - 40) Factor -3/4*y**3 + 57/4*y**2 + 15*y + 0. -3*y*(y - 20)*(y + 1)/4 Let c(g) = -13*g**4 + 21*g**3 + 13*g**2 - 16*g - 5. Let h(f) = -6*f**4 + 10*f**3 + 6*f**2 - 8*f - 2. Let t(w) = -2*c(w) + 5*h(w). Factor t(j). -4*j*(j - 2)*(j - 1)*(j + 1) Factor 5*u + 83*u - 12*u - 8*u**3 - 8 - 72*u**2 + 2*u - 12. -2*(u + 10)*(2*u - 1)**2 Let j = 39 - 39. Suppose j = -2*a + 5 - 1. Factor -10*h + 25/3*h**a + 3. (5*h - 3)**2/3 Let l(u) be the first derivative of 2*u**5/25 + 3*u**4/5 + 2*u**3/3 + 83. Suppose l(x) = 0. Calculate x. -5, -1, 0 Let o(n) be the second derivative of 0 + 0*n**2 - 7*n - 1/8*n**3 - 1/48*n**4. Factor o(z). -z*(z + 3)/4 Suppose 4/13 + 8/13*t**2 - 2/13*t**3 - 10/13*t = 0. What is t? 1, 2 Let r(d) be the second derivative of 5/8*d**4 - 5/8*d**3 + 1/8*d**6 - 1/56*d**7 - 3/8*d**5 + 0 - 7*d + 3/8*d**2. Factor r(v). -3*(v - 1)**5/4 Find f such that -1/2*f**4 - 12*f**2 + 5*f**3 + 0*f + 0 = 0. 0, 4, 6 Let s be (-5)/(-10) - (-7)/2. Let -3 + 0 + 3*v**2 + s*v - v**2 - 3 = 0. Calculate v. -3, 1 Let c be ((-6)/(-8))/(2/8). Let p(u) = 2*u**2 - 6*u + 2. Let o be p(c). Factor 45*z**3 - z + o*z**4 - 44*z**3 - z**4 + z**2 - 2*z**2. z*(z - 1)*(z + 1)**2 Let g(h) be the first derivative of 49*h**4/4 + 742*h**3 + 16854*h**2 + 1191016*h/7 - 9. Let g(d) = 0. Calculate d. -106/7 Suppose 1 = k + 5. Let g = -2 - k. Solve 23*p + 0 - 35*p + 2 + g*p**2 + 16 = 0 for p. 3 Let i(b) be the second derivative of 0 + 7/60*b**4 + 0*b**2 - 7/150*b**6 - 3/100*b**5 - 1/15*b**3 + 1/42*b**7 + 13*b. Find j such that i(j) = 0. -1, 0, 2/5, 1 Let f(x) be the third derivative of x**8/6720 - x**6/720 + x**4/3 - 3*x**2. Let b(n) be the second derivative of f(n). Factor b(g). g*(g - 1)*(g + 1) Let q(t) be the first derivative of 1/70*t**5 - 1/7*t**2 - 3 + 1/42*t**4 - 1/21*t**3 + 7*t. Let k(f) be the first derivative of q(f). Factor k(m). 2*(m - 1)*(m + 1)**2/7 Solve 7/4*p**2 - 3/2 + 1/4*p - 1/4*p**3 - 1/4*p**4 = 0. -3, -1, 1, 2 Suppose -5*p + 16 = -3*g, -4*p + 5*g + 5 = -0*p. Let b = 0 + p. Let 11 - b*k - 9*k**2 + 3*k**4 - 7*k + 6*k**3 + 1 = 0. Calculate k. -2, 1 Let h(z) be the second derivative of 1/10*z**5 + 1/2*z**2 - 1/10*z**6 - 1/2*z**3 + 1/6*z**4 + 1/42*z**7 + 14*z + 0. Factor h(o). (o - 1)**4*(o + 1) Let x(c) be the first derivative of 55*c**4/12 + 100*c**3/9 + 35*c**2/6 - 10*c/3 - 10. Find q such that x(q) = 0. -1, 2/11 Let f(m) = -3*m**4 + m**2 + m - 1. Let o(h) = 2*h**4 - 22*h**3 - 122*h**2 - h + 1. Let g(a) = 3*f(a) + 3*o(a). Determine r so that g(r) = 0. -11, 0 Let w(l) be the first derivative of 1/8*l**2 + 0*l + 1/12*l**3 + 22. Factor w(o). o*(o + 1)/4 Let g(s) = s**3 - s**2 + 3*s - 3. Let m = -179 + 180. Let z be g(m). Solve -1/2*b**2 - 1/6*b**3 + 0*b + z = 0 for b. -3, 0 Let p(w) be the third derivative of -1/9*w**3 - 24*w**2 + 0 + 0*w - 1/180*w**5 + 1/24*w**4. Factor p(o). -(o - 2)*(o - 1)/3 Let g(y) be the third derivative of y**6/600 + y**5/60 + 8*y**2. Factor g(r). r**2*(r + 5)/5 Let v(i) = i**3 + 6*i**2 + 8*i + 12. Let w be v(-4). Suppose w = -4*b, 2*o - 3*b - b = 12. Factor 0 + 3/7*n**3 + o*n - 3/7*n**2. 3*n**2*(n - 1)/7 Let h(p) = -p**4 + p**3 + p. Suppose y + 0 = -1. Let g(n) = 45*n**5 + 13*n**4 - 38*n**3 - 20*n**2 + 2*n. Let z(x) = y*g(x) + 2*h(x). Let z(u) = 0. What is u? -2/3, 0, 1 Let j = -1482 + 29649/20. Let x(v) be the third derivative of 0 + 1/2*v**3 + 0*v - 3/4*v**4 - 2*v**2 + j*v**5 - 1/10*v**6. What is n in x(n) = 0? 1/4, 1 Let r(p) be the first derivative of -2*p**5/5 + 2*p**4 - 4*p**3 + 4*p**2 - 2*p - 210. Solve r(u) = 0. 1 Suppose 2/7*y**2 - 32*y - 226/7 = 0. What is y? -1, 113 Let j(n) be the second derivative of 1/3*n**3 + 0*n**4 + 0 + 0*n**2 + 1/420*n**5 - 1/1260*n**6 - 2*n. Let t(a) be the second derivative of j(a). Factor t(m). -2*m*(m - 1)/7 Let b = 2 + -5. Let q(h) = 6*h**2 - 21*h - 49. Let v(j) = -j**2 + j. Let o(d) = b*q(d) - 21*v(d). What is m in o(m) = 0? -7 Let h(w) be the third derivative of w**6/120 - 11*w**5/60 - 69*w**2. Factor h(l). l**2*(l - 11) Let t = 24 - 22. Determine p so that 3 + 3*p**t - 16*p**2 + 10*p**2 - 6 + 6*p = 0. 1 Let k(q) be the third derivative of q**5/60 + 37*q**4/24 + 439*q**2. Factor k(i). i*(i + 37) Let x(u) be the third derivative of -3*u**6/40 + 4*u**5/5 + 67*u**4/8 - 12*u**3 + 4*u**2 + 47. Find y such that x(y) = 0. -3, 1/3, 8 Suppose 0 = k - 4*k + 21. Suppose 0 = 12*f - 29 - k. Determine t so that -4*t**f + 8/5 - 36/5*t + 48/5*t**2 = 0. 2/5, 1 Determine i, given that 3/2 - 9/8*i - 3/8*i**2 = 0. -4, 1 Solve -51/4*f**3 + 45/2 + 51/4*f - 3/4*f**4 - 87/4*f**2 = 0 for f. -15, -2, -1, 1 Let t = -54 - -63. Let y be (1 + -2)/t - (-5)/15. Factor 2/9*w + 2/9*w**4 - 2/9*w**2 - y*w**3 + 0. 2*w*(w - 1)**2*(w + 1)/9 Let j be (3*3/162)/((-36)/(-270)). Let v(o) be the second derivative of 5/6*o**3 + j*o**4 + 0 - 9*o + 0*o**2. Factor v(r). 5*r*(r + 1) Let q be ((-1)/1)/(6*9/2970). Let a be 4/q*25/(-10). Determine r so that -2/11*r**5 + 0 + 0*r - 2/11*r**4 + a*r**2 + 2/11*r**3 = 0. -1, 0, 1 Let g(y) be the second derivative of -y**4/4 - 10*y**3 - 96*y**2 + 91*y - 3. Factor g(b). -3*(b + 4)*(b + 16) Let y be (-10)/(-27)*(-324)/(-135). Let t(b) be the first derivative of -2/45*b**5 - 256/9*b**2 - 512/9*b - 64/9*b**3 - 2 - y*b**4. Factor t(z). -2*(z + 4)**4/9 Let o(q) be the first derivative of -30 - 2/7*q**3 + 1/28*q**4 - 15/14*q**2 - 8/7*q. Solve o(s) = 0 for s. -1, 8 Let i(l) = -l**2 - l. Suppose -6*j - 5 = -j. Let k(c) = 16*c**2 + 56*c - 32. Let v(a) = j*k(a) - 20*i(a). Let v(f) = 0. What is f? 1, 8 Let v(m) be the third derivative of m**6/480 + 7*m**5/240 + 7*m**4/48 + m**3/3 - 38*m**2. Factor v(x). (x + 1)*(x + 2)*(x + 4)/4 Factor -39227 + 39227 - 2*p**2 - 2*p**2 - 368*p. -4*p*(p + 92) Let z(w) be the third derivative of 0*w**4 + 1/140*w**6 + 0*w**3 + 0 + 0*w - 33*w**2 - 1/105*w**5 - 1/735*w**7. Factor z(l). -2*l**2*(l - 2)*(l - 1)/7 Let g(d) be the first derivative of 7 + 0*d + 1/16*d**4 + 1/2*d**2 + 1/3*d**3. Let g(w) = 0. Calculate w. -2, 0 Determine k so that 2*k**2 - 1/5*k**3 + 1/5*k - 2 = 0. -1, 1, 10 Let x(p) = -p**2 - 9*p - 16. Let w be x(-6). Factor -5*n**2 + w*n**2 - 2*n**3 - 2*n**2 - 3*n**3. -5*n**2*(n + 1) Suppose -7*a = -4*a - 15. Let x(i) be the first derivative of 4/9*i - 1/27*i**6 + 16/27*i**3 + 7/9*i**2 - 4/45*i**a + 5 + 1/9*i**4. Factor x(k). -2*(k - 2)*(k + 1)**4/9 Let h be (-12)/(-22) - (-744)/1056. Suppose -x**2 - 1/2 + 1/4*x**3 + h*x = 0. Calculate x. 1, 2 Factor 23/7*g - 22/7*g**2 + 0 - 1/7*g**3. -g*(g - 1)*(g + 23)/7 Let y(i) be the second derivative of -i**7/14 - 2*i**6/3 - 27*i**5/20 - 5*i**4/6 + 62*i. Let y(j) = 0. What is j? -5, -1, -2/3, 0 Let n(c) be the second derivative of c**6/1260 - c**5/210 + c**4/84 - c**3/63 + 2*c**2 - 21*c. Let j(s) be the first derivative of n(s). Factor j(y). 2*(y - 1)**3/21 Factor 71/10*t**3 - 108/5 + 207/5*t**2 + 2/5*t**4 + 378/5*t. (t + 6)**3*(4*t - 1)/10 Let b(k)
{ "pile_set_name": "DM Mathematics" }
+ 3 + 1) to the form i*m + r + g*m**2 and give i. 0 Rearrange -966*y + 3 - 3 - 1515*y - 432*y to the form z*y + m and give z. -2913 Express 46*n**2 - 5 + 134*n**2 + 5 - 4*n - 43*n**2 as i*n**2 + q*n + c and give i. 137 Express 4*m**3 + 37 - 3*m**2 - 6*m**3 - 45 in the form h*m + c + j*m**2 + p*m**3 and give j. -3 Rearrange 48 + 24*a - 100 + 51 to the form q + u*a and give q. -1 Express (-2*s - 4*s + 85*s)*((-2 + 7 - 3)*(4 - 4 - 2) - 5 + 5 - 2 + 0 - 1 + 2) as p*s + c and give p. -395 Rearrange -48*g**3 + 7*g + 31*g**3 - 3 + 24*g**3 to a*g + l + j*g**2 + x*g**3 and give l. -3 Express -4*i**3 + 4*i - i**3 + 38 + 2*i**2 - i - 39 in the form b*i**2 + k + l*i + d*i**3 and give k. -1 Rearrange -13*b**2 - 16*b + 6*b - 11*b + 17*b**2 - 2*b**4 to h + c*b**4 + s*b**2 + y*b + o*b**3 and give h. 0 Rearrange g + 3*g**4 - 14*g**4 + 10*g**4 - g**3 - 19 - g**2 to p*g**2 + z*g**3 + l*g + q + a*g**4 and give a. -1 Rearrange -3*v**2 + 2102*v - 4205*v + 70 + 2105*v + (0*v - 2*v + 0*v)*(v - v - v) to t*v + s*v**2 + d and give s. -1 Express 38 - 155*t - 31 - 7 as q + r*t and give r. -155 Rearrange (17*l - 18*l + 29*l)*(-4*l + 0*l + 0*l)*(3 - 1 + 0)*(7*l - 4*l + 5*l) to the form d + y*l**3 + b*l**2 + n*l and give y. -1792 Rearrange (1332*j - 389212 + 389212)*(-j - 2*j + j) to k + g*j**2 + c*j and give g. -2664 Rearrange (-4 + 2202*w**2 - 1004*w**2 + 3)*(0*w - 2*w**2 + 0*w) to the form o*w**4 + l + i*w**3 + d*w**2 + h*w and give d. 2 Rearrange -215*b + 9*b - 172*b to the form x + w*b and give w. -378 Rearrange 1 + 2007*g - g**2 - 1 + 10*g**4 - 2009*g - 2*g**3 to the form z + n*g**4 + s*g**2 + t*g + h*g**3 and give s. -1 Rearrange -24*q - 366*q**2 + 2*q + 365*q**2 + q**3 to the form w + l*q**2 + t*q + s*q**3 and give l. -1 Express 119*z - 119*z - 56*z**2 - z**2 + 4*z - 4*z + (3*z - 3*z + 2*z)*(-z - z + 0*z) in the form p + q*z + b*z**2 and give b. -61 Rearrange (4*w**3 + 42 + 2*w**3 - 44 + 2*w**2)*(0 + 4 - 6) to i*w**2 + u + z*w**3 + l*w and give z. -12 Rearrange 23*q**3 - 815 - 2*q**2 + 40*q**3 + 813 to the form y + r*q**2 + i*q**3 + c*q and give i. 63 Rearrange (22 + 47 + 3)*(0*d**2 + 5*d**2 - 4*d**2) + (6 - 4 + 0)*(0*d**2 + 0*d**2 - d**2) to y*d**2 + a + k*d and give y. 70 Express 105*u + 45*u**2 + 29*u**2 - u**3 - u**3 - 74*u**2 as q + i*u + c*u**2 + d*u**3 and give c. 0 Rearrange -44 + 6*u**2 - 2*u**2 + 2*u + 42 + 2*u**2 to the form f*u**2 + r*u + x and give f. 6 Express 3*u + 131 - 131 + 2*u + 1 - 1 + 1 + u - 1 + (1 + 2 - 1)*(3*u - 5*u + 4*u) + 0*u - 6*u + 0*u + 2 - 2*u + 2 - 2 in the form i + m*u and give m. 2 Express 13*p + p**3 + 98 - 12*p + 0*p in the form v*p + x*p**3 + y*p**2 + t and give v. 1 Rearrange -2*p - 328*p**3 - 1577 + 3162 - 1586 to the form l*p**3 + a*p + u + b*p**2 and give u. -1 Rearrange -59*l**2 - 46*l**2 + 103*l**2 - 56*l**3 - 2*l to o + s*l**3 + x*l + k*l**2 and give s. -56 Rearrange (551*u - 1285*u + 628*u - 3*u**2 + 2)*(4*u + 2*u**2 - 4*u) to the form y*u + j + t*u**2 + h*u**4 + b*u**3 and give y. 0 Express 404*n**2 + 100*n**2 - 7*n + 7*n as s + i*n + z*n**2 and give z. 504 Rearrange m - 180 + 58 + 2*m**3 + 62 + m**2 + 60 - m**4 to the form n*m**3 + q*m**4 + k + g*m + x*m**2 and give q. -1 Express 12*b**2 + 512 + 30*b**2 + 7*b**2 - 58*b**2 + 8*b**2 in the form t + q*b**2 + i*b and give q. -1 Express -21*o + 3*o - 24*o - o**3 - 3*o**2 - 6*o - o**4 + 0*o**3 in the form y*o**4 + v + n*o**3 + h*o**2 + b*o and give v. 0 Express 360274*p**2 - 360274*p**2 - 24 - p**4 - 2*p - 3*p**3 as j*p + r*p**3 + c + m*p**4 + i*p**2 and give r. -3 Rearrange (-1 - 2 + 2)*(-278 + 200 + 168)*(-3*x + 0*x + x) to the form a + s*x and give s. 180 Rearrange 12*k**2 - k**2 - 2*k**3 + 28 + 3*k**2 - 34 to the form f*k**3 + i + r*k + o*k**2 and give o. 14 Rearrange -6*g - 40*g**2 - 3 + 9*g + 9*g**2 - 2*g to the form o*g**2 + m*g + f and give f. -3 Express -259 + c**2 + c**2 - 326 - 248 as u*c + t + y*c**2 and give t. -833 Rearrange -50*x**2 - 16*x**2 + 4*x**2 + (4 - 3 - 3)*(x - x - x**2) to b*x**2 + g*x + p and give b. -60 Rearrange 43*j**3 + 10*j + 1 + 49*j**3 - 11*j to l*j**2 + u + m*j**3 + k*j and give k. -1 Express 4 + 6 + 2*g**3 + 8 - g**3 - 2 in the form y + o*g + a*g**2 + l*g**3 and give y. 16 Rearrange (1890 - 3258 + 1924)*(5 - 5 + l) to the form b + g*l and give g. 556 Rearrange -52 + 1809*w - 68 + 120 to l + f*w and give l. 0 Rearrange 8 + 4 + 2 + 3*v**2 to the form g*v + k + o*v**2 and give o. 3 Rearrange (4*q - 5*q + 0*q)*(q - 2*q + 3*q) - 72124*q + 11*q**2 + 6 + 72124*q to j*q + p + v*q**2 and give v. 9 Rearrange -44*q + 23*q - 16*q to h + x*q and give x. -37 Express 965 + 804*a**2 - 13*a - 965 + 13*a as x*a**2 + v*a + c and give x. 804 Express 17*i**2 - 129 + 549 - 184 - 170 as b*i**2 + g + x*i and give g. 66 Rearrange 0*a - a + 9 + 4*a + 7*a**2 - a**3 - 3*a**4 - 8*a**2 to the form p*a**4 + f*a + z*a**2 + r*a**3 + m and give z. -1 Rearrange ((0 + 3 - 2)*(2 + 4 - 2) - 2 - 2 + 8)*(0*r + 0*r + 2*r)*(-2*r**3 - 1 + 1) to j*r**3 + i*r**4 + y + m*r**2 + t*r and give i. -32 Rearrange -346*d + 61*d**2 - 130*d - 2 - 121*d**2 + 59*d**2 - 681*d to z*d**2 + b*d + m and give z. -1 Rearrange -5*x + 18*x + 11 + x - 7*x to j + t*x and give j. 11 Express 3*t - 6*t**2 + 16*t**2 - 2*t**3 + 34*t**2 + 42*t**2 as c + u*t**3 + g*t**2 + a*t and give u. -2 Express 17*c - 21*c + 86*c - 1 + 52*c in the form t*c + x and give t. 134 Express -16*t**3 + 3159581*t - 5*t**2 - 3159581*t - 7 as m + a*t**2 + x*t**3 + l*t and give a. -5 Rearrange (0*w**2 + 0*w**2 + 3*w**2)*(3 + 1 - 3) + 2 - 2 - 2*w**2 + (75*w + 45*w + 8*w)*(0*w + 3*w - w)*(0 + 2 - 5) to f + x*w**2 + y*w and give x. -767 Express -4 + i**4 + i**2 + i - i**3 + 9 - 10 + 4 in the form d + l*i**3 + q*i**2 + k*i**4 + u*i and give l. -1 Express 2*w - 3*w - 61*w**2 - 174*w**2 - w as h*w + o + t*w**2 and give h. -2 Express -2*o**4 + 4*o**2 + 4*o**3 + 4*o**3 + 289*o - 2*o**3 - 280*o in the form h*o**2 + j*o**4 + i*o**3 + r + k*o and give h. 4 Express 14102*i**2 - 10*i - 2 - 14102*i**2 + 9*i**3 as u*i + c*i**3 + x + l*i**2 and give c. 9 Express ((6 + 0 - 5)*(2 - 1 - 2 - 2 + 3 + 1 - 3 + 2 + 3 + (2 - 1 - 2)*(-3 + 4 - 3)) - 17 - 16 - 11)*(-4*x + x + x) as k + w*x and give w. 78 Rearrange -14 - 10 - 1 + 0*g**3 + 6*g**3 to m + p*g + z*g**3 + b*g**2 and give m. -25 Express -3*b**2 - 1198*b - 6*b**2 - 2 + 10*b**2 + 67*b in the form j*b**2 + s + a*b and give a. -1131 Rearrange 5*p - 4*p + 20*p**2 + 7 + p - 2 - p**3 + 0 to the form u + n*p**3 + i*p + b*p**2 and give n. -1 Rearrange (-2 - g + 2 + (0 - 3 + 5)*(5 - 5 - 6*g))*(g + 3*g - 7*g) to x + s*g + d*g**2 and give d. 39 Express (5 + q**2 - 5)*((-10*q - q + q)*(6*q + 0*q - 4*q)*(-5 + 2 + 0) + (-2*q + 0*q + 4*q)*(-2*q + 0 + 0)) as v*q + l*q**4 + s + i*q**3 + t*q**2 and give l. 56 Express (h - h - h)*(-4 + h + 4) - 3*h**2 + h**2 + h**2 + (2*h - 1 + 1)*(-2*h + 0*h + h) in the form m*h + v*h**2 + y and give v. -4 Express ((-4 + 6*v + 4)*(0 + 1 - 2) + 3*v + 3*v - 4*v)*((-4*v + v + v)*(-1 + 2 + 1) + 10*v - 76 + 76) in the form t*v**2 + o + g*v and give t. -24 Rearrange (-1 + 0 - 4)*((3 + 0 - 1)*(-1 + 1 - 2*d) - 51*d - 95*d - 13*d) to the form n*d + z and give n. 815 Express (-4 + 0 + 5)*(2 + v**3 - 2) - v + v - 18*v**3 + 3*v**3 - 35*v**2 + 35*v**2 in the form z*v**3 + b + w*v**2 + k*v and give z. -14 Express -29*p + 121*p - 30*p - 31*p + 296 - 30*p in the form w + f*p and give f. 1 Rearrange (0 + 9 + 0)*(-3*a + a + 0*a) + (-7 + 23 - 5)*(4*a - 3*a - 3*a) to q*a + b and give q. -40 Express (-2 - 2 + 3)*(-120*l**3 - 117*l**3 - 256*l**2 - 117*l**3 + 353*l**3) in the form y + q*l + g*l**2 + n*l**3 and give g. 256 Rearrange (0 - 3 + 0)*(3*n + 0*n - 4*n)*(-1 + 2 - 3)*(16 - 25 - 25)*(0 + 2 - 1) to m + k*n and give k. 204 Rearrange -99 + 203 + d**3 - 39*d**4 - 102 to f*d + r*d**3 + h*d**4 + a + p*d**2 and give r. 1 Express -89*w - w**2 - 4*w**2 + 88*w + 11 - 2*w**3 + 63*w**4 - 11 as o*w**4 + p*w + j*w**2 + v + s*w**3 and give j. -5 Rearrange 1 - 16*m**4 + 3*m + 6*m**3 - 5*m**3 + 45*m**2 - 4*m - 4*m**3 + 14*m**4 to j*m**2 + a*m**4 + d*m**3 + w*m + z and give a. -2 Express 3 - h**2 + h**3 + 3*h**2 - 69*h + 4 - 2*h**2 in the form x + q*h**3 + k*h**2 + d*h and give q. 1 Rearrange (-2*b**2 - b**3 + 2*b**2 + (-3*b**2 + 6*b**2 - b**2)*(b + 0*b + 3*b))*(1 - 3 + 1)*(-4*b + 3*b - 5*b) to k*b**2 + c*b**4 + t + y*b +
{ "pile_set_name": "DM Mathematics" }
/105) Simplify (s**(-4/7))**(-33) assuming s is positive. s**(132/7) Simplify ((n*n/n**0*n)/n*n*(n/n**3)/n)/(n/n**2*n**(-2/3)/n) assuming n is positive. n**(8/3) Simplify c**(2/3)*c/(c/c**(2/23))*(c/(c/c**(-2)))**30 assuming c is positive. c**(-4088/69) Simplify (g/(g*g**(1/4)))/g**(-5)*((g/(g**(-2/3)*g))/g)/g**(-1/2) assuming g is positive. g**(59/12) Simplify a**(-3/22)/(a**25*a) assuming a is positive. a**(-575/22) Simplify j**10*j**(-17/2) assuming j is positive. j**(3/2) Simplify (h/(h*h**(-1)))**(-37)/(h*h*h**4*h/(h**(-7)*h)) assuming h is positive. h**(-50) Simplify b**26*b*b*b*b**(-3) assuming b is positive. b**26 Simplify (w/(w*(w**12/w)/w))**(10/9) assuming w is positive. w**(-100/9) Simplify ((f**(-2)*f)/f*f*f*f**2)**11 assuming f is positive. f**22 Simplify ((z/z**(1/4)*z)/(z/z**(-2/9)))**(2/31) assuming z is positive. z**(19/558) Simplify c**(-2/5)*c**(-6)*c*c*(c*c*c**2*c)/c**(-1/3) assuming c is positive. c**(14/15) Simplify (k**(2/5)*k)/(k*k**(-2/3))*k/k**(-2/11)*k**(3/2)*k*k assuming k is positive. k**(1897/330) Simplify ((v/v**(-2/3)*v*v*v)/((v*v**(-1)*v)/v*v))**(8/17) assuming v is positive. v**(88/51) Simplify (b*b*b**(7/6)*b*b*b*b**(-2/3)*b*b)**11 assuming b is positive. b**(165/2) Simplify (m**5/m**(-3/8))/(m**(-2)*m*m**(-4)) assuming m is positive. m**(83/8) Simplify (((g*g**7)/g)/g*g**8)/(g*g*g**(2/3)*g)**(-18/13) assuming g is positive. g**(248/13) Simplify s**(-3/2)/s**10*s**(-1/3)/s**(-7) assuming s is positive. s**(-29/6) Simplify (k/k**(-5))**(-16) assuming k is positive. k**(-96) Simplify ((a/(a/(a/a**1)*a))**(-4))**13 assuming a is positive. a**52 Simplify f**(-1)*f*f*f*f*f**(-1/5)*f*(f**(1/4)*f*f)**(3/40) assuming f is positive. f**(127/32) Simplify ((u**(-1/11)/u)/u*u/((u*u**8)/u))**2 assuming u is positive. u**(-200/11) Simplify ((y**(1/8)/y)/y**(2/9))**33 assuming y is positive. y**(-869/24) Simplify ((n**(-2))**29)**(12/11) assuming n is positive. n**(-696/11) Simplify (f**26*f)**(-32) assuming f is positive. f**(-864) Simplify (l*l/l**(-4)*l**(-2/3))**(1/9) assuming l is positive. l**(16/27) Simplify ((t**(-1/10)/t)/t)**(-18) assuming t is positive. t**(189/5) Simplify t/(((t**(2/7)*t*t)/t)/t)*t**(-2/7)*((t/t**(2/7))/t)/t**(1/4) assuming t is positive. t**(-3/28) Simplify (l*l**(4/5)*l*l*l*l*l**(-2/21))**(-17) assuming l is positive. l**(-10183/105) Simplify ((r/(r*r**(2/19)))/r)/(r/(((r/r**(1/8)*r)/r)/r*r)) assuming r is positive. r**(-187/152) Simplify (r**0*r*r*r**3)/(r**(2/7))**(-39) assuming r is positive. r**(113/7) Simplify ((i**(3/2))**(1/8))**6 assuming i is positive. i**(9/8) Simplify (o*o/(o/(o*(o/o**2*o)/o))*o**0/o)/(o**6/o**6) assuming o is positive. 1 Simplify ((f*f/(f/(((f*f*(f/(f*f/((((f/(f/(f*f**(-1/27))))/f)/f*f)/f*f)*f*f))/f)/f*f)/f)))/f)**(-38) assuming f is positive. f**(3116/27) Simplify (o*(o/(((o*o/((o/(o**(-3)/o)*o)/o))/o*o)/o))/o*o)**(-30) assuming o is positive. o**(-180) Simplify ((t**(-1/4)/t)/t**(6/13))**(-29) assuming t is positive. t**(2581/52) Simplify q**(2/53)/(q*((q*((q/q**(-1/15))/q)/q)/q)/q*q*q) assuming q is positive. q**(-818/795) Simplify q**(-3/4)*q**(-2/9)*(q/q**(-1/5))**(-32) assuming q is positive. q**(-7087/180) Simplify (w**(-1/3))**(1/2)*(w**3/w*w*w)/(((w**(-8)/w)/w)/w) assuming w is positive. w**(89/6) Simplify (l*l**(1/10))**(-1/19) assuming l is positive. l**(-11/190) Simplify (y**0)**(1/31)*y**(-3/4)/y*y/(y*y**(2/7)*y) assuming y is positive. y**(-85/28) Simplify u**(1/6)/u**14 assuming u is positive. u**(-83/6) Simplify ((b/(b/(b**5/b))*b)/b)**(13/3) assuming b is positive. b**(52/3) Simplify k**(-1/10)/(k/(k/(k*k*k*k/(k*k**2)*k)))*(k**(-1/2)/k)**(1/20) assuming k is positive. k**(-87/40) Simplify x/x**(-27)*x*x/(x**(-3/11)/x*x) assuming x is positive. x**(333/11) Simplify ((w/(w*w*w**1))**(-1/38))**(-19/5) assuming w is positive. w**(-1/5) Simplify (a**(3/20)/a)/(a/(a*a**(7/2))) assuming a is positive. a**(53/20) Simplify ((j*j/(j**4/j)*j)/(j**5/j))/(j**1*j)**(2/9) assuming j is positive. j**(-40/9) Simplify (r**(-5))**1 assuming r is positive. r**(-5) Simplify (d*(d*d*(d*d/d**(-1)*d)/d*d)/d)**(3/11)*(d*d*d**1/d)**(4/5) assuming d is positive. d**(178/55) Simplify (b/(b/b**(2/5)))**(-1/6)/((b**(-2/3)*b*b)/((b*b**(-1/14))/b)) assuming b is positive. b**(-103/70) Simplify (d/(d*d*d**(-21))*d**(9/4)*d)**(-48) assuming d is positive. d**(-1116) Simplify (n**(1/2))**15 assuming n is positive. n**(15/2) Simplify (((s**3/s)/s)/(s**(3/5)/s))/(s**1*s)**(-2/65) assuming s is positive. s**(19/13) Simplify c**(-11)*c*c**(-20) assuming c is positive. c**(-30) Simplify (i/(i/i**(1/10)))**(-44) assuming i is positive. i**(-22/5) Simplify (b/(b*b**(-6)*b*b))**(1/18) assuming b is positive. b**(2/9) Simplify g**(3/4)*g**(-4)*g**(-2/5)/g*g*g**3 assuming g is positive. g**(-13/20) Simplify (r**10*r*r/r**0)**(1/4) assuming r is positive. r**3 Simplify (a**(1/2)*a**(1/3))/(a**(2/3))**(-12/7) assuming a is positive. a**(83/42) Simplify (h**(1/13)/h*h**7/h)/(h**3*h**(-2)) assuming h is positive. h**(53/13) Simplify (l**(-1)*l)**17*(l**(-4)/l)/((l/((((l/(l/(l/(l**(-6)/l*l*l))))/l)/l)/l))/l) assuming l is positive. l**(-2) Simplify (p/(p*p**(-3))*(p**0*p)/p)/(p*p**(-1/4)*(p/p**(2/5)*p)/p) assuming p is positive. p**(33/20) Simplify ((f*f/(f*f**(-3/2))*f)/f)**(-12/11) assuming f is positive. f**(-30/11) Simplify (h**(4/9)*h**(-2/15)/h*h)/(h**(2/5)*h**(-6)) assuming h is positive. h**(266/45) Simplify (((n**(-7)*n)/n)/n)/(n*n**18*n) assuming n is positive. n**(-28) Simplify x/(x/(x/(x**4*x)))*x*x**5/x*(x*x**(-1/3))**(32/3) assuming x is positive. x**(73/9) Simplify (t/(t/(t**6/t)))/t**(3/2)*(t*t*t*t**(-1)*t)**(2/35) assuming t is positive. t**(257/70) Simplify (s/(s/s**(-1/2)))/(s**(2/7)/s)*(s**0)**(2/5) assuming s is positive. s**(3/14) Simplify (k**1*k**(-1/8))/(k*k*k*(k**(-3)/k)/k*k*k/(k/(k/k**6))) assuming k is positive. k**(55/8) Simplify (f*f/(f*f**0)*f*f)**46/(f*f**(-1/4)/f)**(-1/3) assuming f is positive. f**(1655/12) Simplify (v*v**0)**(6/13)/(v**(-2/5)*v)**45 assuming v is positive. v**(-345/13) Simplify u**(-5)*u**(-1)*u assuming u is positive. u**(-5) Simplify (g/g**(-7))**(5/6) assuming g is positive. g**(20/3) Simplify c**(3/5)/((c**(2/23)*c)/c) assuming c is positive. c**(59/115) Simplify ((s*s**(1/6)*s)/s)/((s*s/(s/(s**(3/2)*s)))/s) assuming s is positive. s**(-4/3) Simplify (v**(-3/2)*(v**4/v)/v)**(10/11) assuming v is positive. v**(5/11) Simplify u*(u**(1/3)*u)/u*u*u/(u*u*u**(-2)*u)*u**(2/9)*u*u**0*u assuming u is positive. u**(41/9) Simplify ((f*f**0/f)/f)**(-48)/((f*f**(-9/2)/f)/(f/f**(4/9))) assuming f is positive. f**(955/18) Simplify (m**6*m**(2/7))/(m/m**1)**(2/113) assuming m is positive. m**(44/7) Simplify (f*f**(1/4)*f)**(17/5) assuming f is positive. f**(153/20) Simplify (b*((b*b**7/b)/b)/b*b)/(b/b**(2/7))*b**(-4/7)/b**6 assuming b is positive. b**(-2/7) Simplify ((((r*((r*r**(7/5))/r)/r)/r)/r)/r*r**(2/5))/(r**(1/4)*r*r*r/(r*r*r**(1/5))) assuming r is positive. r**(-9/4) Simplify (k*k**30/k)/k*(k*k/(k/(((k*k**24*k)/k)/k*k)*k)*k*k*k*k)/k assuming k is positive. k**57 Simplify (t**(-4)*t)**36 assuming t is positive. t**(-108) Simplify (l**(4/7)/(l/l**4))/(l/(l*((l**(-1)*l*l)/l)/l*l))**(-42) assuming l is positive. l**(25/7) Simplify o*o*o**(-49)*o*(o*o*o**(-1/4)*o*o*o)/o assuming o is positive. o**(-169/4) Simplify ((b*b/(b/((b*b**(2/29)/b)/b))*b)/(b/(b*(b/(b/((b**1*b)/b*b)))/b)))**(-8/7) assuming b is positive. b**(-480/203) Simplify (h/(h/(h/((h/(h**(-7/3)/h))/h))))/h*h/(h/h**(-1/3))*h*h/(h*h**3*h)*h/h**5 assuming h is positive. h**(-32/3) Simplify (l/(l*l/((l*l/(l/l**(1/7)*l*l))/l)*l)*l*l**17)**(-1/25) assuming l is positive. l**(-99/175) Simplify (y/(y*y**(-4/3)*y*y))/y**(-1) assuming y is positive. y**(1/3) Simplify ((j/(j*j*j/(j/j**(-3))*j))**(16/5))**4 assuming j is positive. j**(64/5) Simplify ((w**(-1/8)*w)/w**2)/((w*w/((w*w*(((w**1*w)/w*w)/w*w)/w)/w)*w)/(w**(3/7)/w*w)) assuming w is positive. w**(-95/56) Simplify ((x**5*x)/x*x/(x/(x/(x/x**7))))/(x**(2/13)/(x*x/(x**8*x))) assuming x is positive. x**(63/13) Simplify ((x*x**(1/5))/(x*x*x**3))/(x/(x*x**(-5))*x*(x*x**(1/2))/x*x) assuming x is positive. x**(-113/10) Simplify (r**(2/5)*r**(-3))/(r/((r*r/(r/((r/(r*r*r**(-2/7)))/r))*r)/r)*r/((r/(r**(-2/9)/r))/r)) assuming r is positive. r**(-1289/315
{ "pile_set_name": "DM Mathematics" }
3, -4, -4645583? 0.3 Which is the nearest to -1/3? (a) 122 (b) -0.8 (c) -1 (d) -501 (e) 3 b What is the nearest to 0 in -0.099, -2/89, -5, -0.4, -6? -2/89 Which is the nearest to -0.22? (a) 3 (b) -4.4 (c) 2/13 (d) -21 c What is the closest to -2/5 in -3/2, 474572, -1, -1/8? -1/8 What is the nearest to -12 in 5, -73, -0.1, -7, 36, -0.01? -7 What is the nearest to 7 in -16, -1, 0, 299? 0 What is the closest to 9/10 in 86, 3, -0.611? -0.611 Which is the closest to 2? (a) -1474 (b) -3 (c) 5 (d) 2/9 (e) 34.9 d What is the nearest to 4 in -20, 3/7, -471, 1/2? 1/2 What is the nearest to 0.2 in -1/8, 25, 5, -159? -1/8 What is the closest to 0.21 in -1.9, -16/3, -2/5, -5? -2/5 What is the closest to -3 in 27362, 8, 24? 8 What is the closest to -1 in -204, 0.4, -18, -3, -0.09? -0.09 What is the closest to -0.0941 in -7.8, 3, -5, -3? -3 What is the closest to 1.3 in -16, -5, -0.802, -0.04, 1, -1? 1 Which is the closest to -2? (a) 6229 (b) -2 (c) 3 (d) -3 b What is the closest to 3 in 0.4, -0.1, -0.5, -5, 5.608? 0.4 What is the closest to -2 in 2, 14, -0.1, 2/3, -38577? -0.1 What is the nearest to 51/5 in -0.01, -0.3, 1/8, 2/125, 10? 10 Which is the closest to 11968? (a) 119 (b) -5/3 (c) 0.3 a Which is the closest to 31? (a) -5 (b) 2.3 (c) -0.08 (d) 1134 b Which is the nearest to -3? (a) 2 (b) -5/6 (c) -0.1 (d) 3.35 (e) -1 e What is the nearest to -3.2 in -2/173, -1/221, -0.5? -0.5 Which is the closest to 0.5? (a) -1 (b) -1.5 (c) -1/4 (d) -0.04029 (e) -0.3 d What is the closest to -35868 in 1/4, 0.06, 2/7, -98? -98 Which is the closest to 1330? (a) 0.2 (b) -13 (c) 22/5 (d) -1/12 c What is the nearest to -2 in -2.218, -5, -35, 0.1? -2.218 Which is the nearest to 3/128? (a) -2/7 (b) 18 (c) -2/3 (d) -4 (e) 0 e What is the nearest to -212 in -0.3, -2, -17/5, 2.09? -17/5 Which is the closest to 10? (a) 2/3 (b) -89 (c) -1 (d) -2/37 (e) 3 e What is the nearest to -39 in 1/2, 10, -1/2, 7, -11? -11 Which is the closest to -2342? (a) 0 (b) 163 (c) 2 (d) -3 d Which is the closest to 0.1? (a) 661.4 (b) -4 (c) -1715 (d) -2 d What is the closest to 1.1 in 0, -4, 24, -968, -8? 0 Which is the nearest to -13/229? (a) 0.3 (b) 33 (c) -8 (d) 2/5 a What is the nearest to 10 in -5202, -3, -0.04? -0.04 Which is the closest to 2/3? (a) 0.1 (b) -2/9 (c) 238586 a Which is the closest to -1/5? (a) 478 (b) -23/96 (c) 3 b What is the nearest to -40448 in -9, -1.8, -0.4? -9 What is the closest to 533 in 27.8, 1, 4, 1/5? 27.8 What is the nearest to -0.1 in -13/4, -1/8, 0.2, 3, 97, -9? -1/8 What is the nearest to -2 in -33, 136, -2/35, -4/3, 2/15, -4? -4/3 What is the closest to 1 in 311, -1/4, 11455/4, -12? -1/4 What is the closest to -0.1 in 97/4, -2/19, -7, 1/5, -1? -2/19 What is the closest to 0.1 in -1/26, 5, -4987, -2/19? -1/26 What is the closest to 2 in -2/37, 0.3, 6, 4/17, 1, -16? 1 What is the nearest to 19 in -132, 0.054, 5? 5 Which is the closest to -0.1? (a) 4 (b) 892 (c) -3263 (d) -3 (e) -4/7 (f) 5 e What is the closest to 0.1 in -12959, -565, 0.5? 0.5 What is the closest to -47 in 4, 1401, 11/2? 4 What is the closest to 3 in -2, 33, -0.1, 0.01, 7/4? 7/4 What is the nearest to -1.11 in 4/3, 19353, 0.1, -4/7? -4/7 Which is the closest to 6? (a) 15 (b) -89770 (c) 0 c What is the closest to 0.4 in 105/17, -0.1, 4, -3/1660, -4, 1/2? 1/2 Which is the closest to -7? (a) 17/25560 (b) 0.1 (c) 2/7 a Which is the closest to 26.9? (a) 2/3 (b) 0.5 (c) 125 a What is the closest to -2/11 in 8, -0.4, -2, -1, 739? -0.4 What is the closest to -68/127 in 1, -7, 822? 1 Which is the nearest to -4? (a) -0.01 (b) -166659 (c) 0.6 a Which is the closest to -4? (a) -3 (b) 0.03 (c) -10 (d) -1/4 (e) 453 a What is the nearest to -9/8 in -2/15, 1/18, 1? -2/15 What is the nearest to 2/5 in 0.3, -4/5, 5/8, 4, -253, 1/3? 1/3 Which is the nearest to -1239? (a) 0 (b) 46/15 (c) -2 c What is the closest to -1653 in 11, -1/2, 0.1, -4, -0.12, -0.1? -4 What is the closest to 4/7 in -2, -0.034, -110, 0? 0 What is the closest to 6 in -3, 5, 3/2, 24370? 5 Which is the closest to -1/2? (a) -1/41 (b) -7 (c) 2 a What is the nearest to 1 in 7, 28, -1/14, 0.5? 0.5 What is the nearest to 1 in -3/8, -5867, 4.8, -0.4? -3/8 Which is the nearest to -16? (a) -1/3 (b) 3/2 (c) 39556 a What is the closest to -161 in 0.09, -7, -3, 0.2? -7 Which is the closest to 2/13? (a) -205 (b) -30 (c) -0.3 c Which is the nearest to -0.04? (a) 11.798 (b) 4 (c) 3 c What is the closest to 0.0383 in -0.5, 28, -0.9, -3/7, 2/27? 2/27 Which is the nearest to 1? (a) -2530 (b) -23.6 (c) -37.6 b Which is the nearest to -1? (a) -344858 (b) 0.5 (c) -4 (d) 11/2 b What is the nearest to -15 in 6/437, -2, 4, 0, -2/9? -2 Which is the nearest to 876? (a) 3 (b) 10 (c) 0.2 (d) -1 (e) 49 e What is the closest to 16 in 14/3, 0, -257/4? 14/3 What is the closest to -0.118 in -3/4, 1/5, 5/6, 1, 5.2? 1/5 Which is the nearest to 38? (a) -1.281 (b) 6 (c) 5 (d) -2/5 (e) -5 b What is the closest to 0.02 in -2/5, -183, 8, -2/63, -2? -2/63 Which is the nearest to 22998? (a) -1/3 (b) 3/7 (c) -7 (d) 60/7 d Which is the closest to 0.2? (a) 3 (b) -0.1 (c) -4794 (d) 0.3 (e) 38 d Which is the closest to 10.1? (a) -9 (b) -0.08 (c) -0.1 (d) -73/7 b What is the nearest to 38/5 in -101/9, 4, -18, -3/2, 0? 4 Which is the nearest to 3/5? (a) -5 (b) 3063 (c) 11 a What is the closest to -21 in -7294, -4, 1/6? -4 What is the nearest to -0.2 in 2.468, 0.14, 0.1, 24? 0.1 What is the nearest to 435 in -2, 1.03, -2/3? 1.03 What is the nearest to 2/11 in 0.3, 0.04, 2, 728? 0.3 Which is the nearest to -0.1? (a) -3 (b) -1/4 (c) 6 (d) -16 (e) -31550 b What is the nearest to -0.14 in 323/6, -4/5, 1/2, -4, 8, 15? 1/2 Which is the nearest to 2? (a) -24 (b) -0.2 (c) 31 (d) 20.18 b Which is the nearest to -0.1? (a) -10 (b) -32 (c) 36 (d) -1 (e) 3/47 e Which is the nearest to 2/7? (a) 0.2263 (b) 715/3 (c) 2 (d) -1/4 a Which is the nearest to 1.1? (a) -4/55 (b) 5/2 (c) -0.018 (d) 2/13 (e) -1/2 d What is the nearest to 288 in 0.3, 2/3, 3/5, 172, 15? 172 Which is the closest to -1? (a) -1/4 (b) -2/3 (c) 3/2 (d) 93 (e) 37 b Which is the nearest to 167909/3? (a) 0.2 (b) -2 (c) 1.2 c Which is the nearest to -0.185? (a) -0.2 (b) -0.02 (c) 10236 a Which is the nearest to 8? (a) -5 (b) 2/15 (c) 2 (d) 35 (e) 119 c What is the closest to 229 in -2, 0.2, 2/3, 10.865? 10.865 Which is the nearest to 0.1? (a) -15 (b) 0 (c) -10/18159 (d) -1/4 (e) -2/5 b What is the nearest to -1 in -3/20, 20, -52, 0.06, 4? -3/20 Which is the nearest to -0.047? (a) 129 (b) 0 (c) 0.1 (d) 2/7 b Which is the nearest to -2/7? (a) -14/153 (b) -2 (c) 2/7 (d) 1/3 (e) -29/5 a What is the nearest to 107 in -0.2, 7251, -0.5? -0.2 What is the closest to 0.11 in 14/99, 4, -23? 14/99 Which is the nearest to 0? (a) -2/9 (b) -0.03 (c) 2/5 (d) -13.2 (e) 5 (f) -4.9 b Which is the closest to 0.141597? (a) 30 (b) -2 (c) -1 c Which is the closest to -1/3? (a) 0.62 (b) 47 (c) 297/10 a Which is the closest to -4? (a) 0.2 (b) 10 (c) -10 (d) -226/5 a Which is the closest to 10/13? (a) 0 (b) -2/3 (c) 2 (d) 4 (e) -1 (f) -468 a What is the closest to 4 in -2, 1, 1/132, 209, 2? 2 Which is the nearest to -6/5? (a) -1/68470 (b) 1/7 (c) -1/2 c Which is the nearest to -0.1112? (a) -2633 (b) 5 (c) -0.4 c What is the closest to -21 in -0.5, 1/2, 235.4, -3? -3 What is the nearest to -1 in -566, -35, 1, 1/5, -0.1? -0.1 Which is the closest to -8/9? (a) -1/6 (b) 37259 (c) -0.3 (d) 4/5 c Which is the nearest to 0.5? (a) 14 (b) -3 (c) -0.3 (d) 2 (e) 1/2721 (f) -26 e What is the nearest to 1 in 0.124, 1, -0.1, 0.562, -6, -5? 1 Which is the closest to -1? (a) 4 (b) -29 (c) 2280/17 (d) -8 a What is the closest to -0.1 in -14/37, -532, 4/3? -14/37 Which is the nearest to -0.1201489? (a) 0.15 (b) 4/5 (c) -2 a What is the closest to -0.2 in -62, 134, -1, -0.6, -67? -0.6 Which is the nearest to 19? (a) -12 (b) -2/9 (c) -1572 (d) 3 d Which is the closest to 0? (a) 86 (b) 1 (c) -127.43 b What is the closest to 51 in 32, 79, -1/2, -105? 32 Which is the nearest to -69.5? (a) -1/7 (b) 9/5 (c) -5 c What is the closest to 2237611 in -0.4,
{ "pile_set_name": "DM Mathematics" }
mmon denominator of 34/7 and -39/413. 413 Calculate the smallest common multiple of 120 and 96. 480 Calculate the smallest common multiple of 95 and 20. 380 What is the common denominator of -47/762 and -43/7? 5334 What is the smallest common multiple of 3 and 16? 48 Calculate the lowest common multiple of 8 and 17. 136 What is the least common multiple of 85 and 15? 255 What is the smallest common multiple of 554 and 1? 554 What is the lowest common multiple of 3303 and 2936? 26424 What is the smallest common multiple of 432 and 540? 2160 Calculate the common denominator of -81/44 and -3/154. 308 Calculate the smallest common multiple of 510 and 4. 1020 Calculate the common denominator of 61/990 and 53/165. 990 Find the common denominator of -67/273 and 62/1001. 3003 Calculate the common denominator of 22/161 and 34/3. 483 What is the common denominator of -22/63 and -57/70? 630 Calculate the smallest common multiple of 73 and 11. 803 What is the common denominator of -4/255 and -59/51? 255 Calculate the lowest common multiple of 16 and 800. 800 Find the common denominator of 26/693 and 64/819. 9009 Find the common denominator of -95/24 and -59/6. 24 Calculate the common denominator of -11/40 and 11/145. 1160 What is the least common multiple of 9 and 9? 9 Calculate the least common multiple of 2189 and 2786. 30646 Calculate the lowest common multiple of 228 and 950. 5700 Calculate the common denominator of -74/9 and 67/1338. 4014 Calculate the common denominator of -46/261 and -93/232. 2088 Find the common denominator of -5/27 and 121/24. 216 Find the common denominator of -49/264 and 107/28. 1848 Calculate the lowest common multiple of 33 and 1529. 4587 Calculate the lowest common multiple of 102 and 16. 816 What is the smallest common multiple of 276 and 345? 1380 What is the common denominator of -45/38 and -149/798? 798 What is the common denominator of 47/639 and 55/27? 1917 Calculate the smallest common multiple of 638 and 232. 2552 Calculate the common denominator of 17/66 and 101/90. 990 Calculate the common denominator of 44/153 and -46/9. 153 Calculate the least common multiple of 1308 and 10. 6540 What is the common denominator of 43/36 and -40/9? 36 Calculate the common denominator of 44/11137 and 37/430. 111370 Calculate the common denominator of -47/12 and 89/36. 36 Calculate the smallest common multiple of 10 and 9559. 95590 Calculate the common denominator of 55/578 and 99/442. 7514 Calculate the lowest common multiple of 126 and 12. 252 What is the common denominator of -47/6640 and -37/320? 26560 Calculate the common denominator of -43/4 and -49/6940. 6940 Calculate the least common multiple of 9 and 389. 3501 What is the common denominator of -47/228 and 173/168? 3192 Calculate the smallest common multiple of 10 and 10. 10 What is the lowest common multiple of 21 and 20? 420 Calculate the least common multiple of 506 and 874. 9614 Calculate the lowest common multiple of 341 and 186. 2046 Find the common denominator of -2/363 and 83/4. 1452 Calculate the smallest common multiple of 768 and 10. 3840 Calculate the common denominator of 53/136 and 14/187. 1496 Calculate the common denominator of -83/792 and -53/10. 3960 What is the least common multiple of 6 and 987? 1974 Calculate the common denominator of 23/10 and -61/30. 30 What is the smallest common multiple of 15 and 9? 45 What is the common denominator of -31/1647 and 38/9? 1647 Calculate the lowest common multiple of 44 and 272. 2992 What is the smallest common multiple of 22 and 15? 330 Calculate the lowest common multiple of 104 and 1014. 4056 What is the common denominator of 62/3 and 71/13482? 13482 Find the common denominator of -79/530 and -27/34. 9010 Calculate the common denominator of -58/207 and -71/2415. 7245 What is the common denominator of -19/13260 and 43/68? 13260 What is the lowest common multiple of 2222 and 5555? 11110 What is the common denominator of 61/10 and 37/60? 60 What is the smallest common multiple of 168 and 22? 1848 Calculate the lowest common multiple of 36 and 99. 396 What is the smallest common multiple of 60 and 420? 420 What is the lowest common multiple of 8 and 4? 8 What is the least common multiple of 52 and 2324? 30212 What is the smallest common multiple of 4 and 152? 152 What is the lowest common multiple of 56 and 6902? 27608 What is the lowest common multiple of 128 and 192? 384 What is the least common multiple of 168 and 392? 1176 Find the common denominator of -41/726 and -43/33. 726 What is the common denominator of 41/40 and 77/48? 240 Find the common denominator of -85/228 and -79/42. 1596 Calculate the common denominator of 107/34 and -15/4. 68 Calculate the common denominator of 123/10 and -3/259. 2590 Calculate the least common multiple of 70 and 203. 2030 Find the common denominator of -101/258 and -39/860. 2580 Find the common denominator of -89/798 and -13/38. 798 Calculate the least common multiple of 68228 and 6. 204684 What is the least common multiple of 4092 and 15? 20460 What is the smallest common multiple of 72 and 10? 360 Calculate the common denominator of 5/84 and 17/6. 84 What is the lowest common multiple of 52 and 2340? 2340 Find the common denominator of -71/110 and 11/100. 1100 Calculate the least common multiple of 72 and 8. 72 What is the least common multiple of 29 and 97? 2813 Find the common denominator of -23/640 and 55/6. 1920 Calculate the common denominator of -34/5 and 41/25. 25 Calculate the common denominator of 59/304 and 79/1064. 2128 What is the common denominator of 62/5 and 68/1015? 1015 Calculate the common denominator of 121/192 and -43/576. 576 Calculate the least common multiple of 9 and 19. 171 What is the lowest common multiple of 416 and 32? 416 What is the common denominator of 53/471 and -64/363? 56991 What is the common denominator of 101/112 and 1/6928? 48496 Calculate the lowest common multiple of 1344 and 840. 6720 What is the lowest common multiple of 84 and 20? 420 What is the least common multiple of 12 and 412? 1236 What is the least common multiple of 588 and 4? 588 Find the common denominator of 55/48 and 17/1752. 3504 Calculate the lowest common multiple of 30 and 44. 660 Calculate the smallest common multiple of 366 and 244. 732 What is the lowest common multiple of 50 and 25? 50 Calculate the common denominator of 111/22 and 33/796. 8756 Calculate the common denominator of -37/9 and -1/1815. 5445 Find the common denominator of 58/105 and -47/30. 210 What is the smallest common multiple of 178 and 10? 890 What is the smallest common multiple of 81 and 20? 1620 What is the lowest common multiple of 16 and 4? 16 Calculate the lowest common multiple of 4680 and 52. 4680 What is the lowest common multiple of 9 and 1992? 5976 Calculate the common denominator of 7/27 and -133/606. 5454 What is the common denominator of 26/3 and 71/110? 330 Find the common denominator of 25/274 and 65/1096. 1096 What is the common denominator of -1/2420 and -141/770? 16940 Find the common denominator of -113/120 and 8/7. 840 What is the common denominator of -83/490 and 139/2310? 16170 Find the common denominator of 67/385 and -59/440. 3080 Calculate the least common multiple of 57 and 399. 399 Calculate the common denominator of 127/3348 and 91/144. 13392 Find the common denominator of 13/2391 and -37/27. 21519 Calculate the common denominator of -87/1342 and -91/4. 2684 Calculate the least common multiple of 258 and 774. 774 What is the common denominator of -40/3 and -149/36? 36 Calculate the common denominator of 58/175 and -43/175. 175 What is the common denominator of 71/24 and -53/32982? 131928 What is the common denominator of -95/84 and -23/63? 252 Calculate the smallest common multiple of 68 and 68. 68 What is the smallest common multiple of 516 and 315? 54180 Calculate the lowest common multiple of 45 and 108. 540 Find the common denominator of 99/1448 and -41/7964. 15928 What is the lowest common multiple of 4358 and 2? 4358 Calculate the least common multiple of 242 and 77. 1694 Calculate the common denominator of 91/142 and -8/639. 1278 What is the common denominator of 26/667 and 41/253? 7337 Find the common denominator of -43/126 and -107/56. 504 What is the comm
{ "pile_set_name": "DM Mathematics" }
se -5*k + 41 = 4*f, -4*k + k + 3 = -3*f. Solve -4*u = -f*a - 4, u + 3*a = 5*u - 8 for u. 5 Let a = 729 + -727. Solve 0 = -d, -a*y + 5 = -5*d - 5 for y. 5 Let i(k) = k**2 + 9*k - 1. Let c be i(-4). Suppose 18*u = 14*u + 4*m - 76, m = 0. Let v = u - c. Solve -4*j + 8 = -y, 0 = 2*j - 2 - v for y. 0 Suppose -7*q = -10 - 11. Solve 0 = 2*n - 4*m + 18, q*n - 3*m - 5 + 20 = 0 for n. -1 Let j(t) = 6*t - 7. Let u be j(2). Suppose u*m = 8 + 2. Solve -4*h = 4*f - 10 + m, h = 4*f - 3 for f. 1 Let v(l) = 21*l**2 + l - 1. Let w be v(1). Suppose 0 = 5*k + 3 - 28, 3*k = j + 10. Solve -3*u - j*f = -2*f + w, 4*f = 3*u - 14 for u. -2 Let y(b) = 2*b**3 + 13*b**2 + 7*b + 8. Suppose 0*g - 30 = 5*g. Let l be y(g). Let d be 50/4 - 1/2. Solve 5*t + d = -2*f, 0 = 4*f - l*t - 0*t for f. -1 Let b be (1/(2/(-48)))/((-123)/82). Solve -5*o - b = 2*x - o, 2*o = -5*x - 16 for x. -2 Let k = -2361 - -2364. Solve -3*o + 2*o = 5*p - 11, 3*o + k = 3*p for p. 2 Suppose -b + 12 = 2*k + b, 10 = -5*b. Let l = k + -6. Suppose l*h = 25 + 1. Solve -2*i + 0*i + h = 5*p, -5*p + 14 = i for i. -1 Suppose 0 = 2*t - w - 23, -3*w + 19 = 2*t - 0*t. Let d be (-2)/7 - (-11 - 750/(-70)). Solve d = x + 2*v - 5, 6*x = x + 2*v - t for x. -1 Let t = 16 + -29. Let o(y) = 6*y + 1 + 7 - 3 + 7*y + y**2. Let z be o(t). Solve -z*x + 17 = 2*d - 5*d, -3*x = 4*d + 13 for d. -4 Let k(u) = u**2 - 5*u. Let x be k(5). Suppose -2*j + 3*j + 0*j = x. Solve -l = 4*c + 3*l, j = 2*c + 5*l - 9 for c. -3 Suppose -o - 72 = -4*s - 22, -5*s - o + 58 = 0. Suppose s*n = 8*n + 72. Solve -6*q - 23 = -11*q + 2*r, 2*q - 3*r = n for q. 3 Suppose -24 = -253*s + 247*s. Solve g - s = 0, 3*g - 27 = 5*b - 0*g for b. -3 Let v(g) = 2*g**3 - g**2 - g - 5. Let f be v(3). Solve 3*n - f = -5*h, 0*n + 2*n = 3*h - 7 for n. 4 Let f(n) = -n**2 + 5*n + 1. Let g be f(4). Suppose -5*x + 15 = 2*v, g*v = v - 2*x + 6. Solve 2*p = -t - 3, v*t - 5*p - 12 = -2*t for t. 1 Let i = -1 + 0. Let a be 25/(-75) - (i + (-2)/(-3)). Let u(d) = d**2 + 6*d - 2. Let t be u(-8). Solve a = 5*r - 5, -4*j = 3*r - r + t for j. -4 Let z = -10 + 27. Suppose 0 = 21*r - z*r. Solve 2*i - 8*m + 10 = -3*m, -5*i + m - 25 = r for i. -5 Let n be 4/(42/(-98) - 34/(-14)). Let i be 7 - 1 - ((2 - 3) + 3). Solve i*q - 5*l - 3 = 0, n*l = -q + 4*l + 3 for q. -3 Let j be (-296)/(-10) + 2/5. Suppose x - 2 = -1. Suppose -3*p + x = 2*l - 3*l, l = -2*p - 1. Solve -2*y + 5*z + j = 0, p*z - 37 = -5*y + 3*z for y. 5 Let m be -1*(3 + -2)*0. Let z be (0 - m)/(9 + -10). Solve z*a + 9 = 2*a + 3*y, 2*a - 10 = -4*y for a. 3 Suppose 0 = 5*a + 5*x - 15, 15 = -a + 6*a + 2*x. Let z(u) = -3*u**2 - 5*u + 15. Let m be z(-3). Solve j = -j + 4*l - 12, -a*l + m = -3*j for j. 4 Let f = -5 + 10. Let o be 17/34*(-40)/(-1). Let g = 2 - -3. Solve 3*m - o = g*t + m, -27 = t - f*m for t. -2 Suppose 7*t + 3 = 3*p + 9*t, 0 = -3*t. Solve p = -5*x - h - 11, -5*h = 2*x - 9 for x. -3 Let f = 24 + 2. Solve 2*k - k - f = 5*q, 0 = -4*k + 3*q + 19 for k. 1 Let y be 2 + -8 - -2*4. Solve 0*k - 2*k = 2*r + y, 2*k - 28 = 4*r for k. 4 Let n(l) = -l + 7. Let r be n(3). Suppose d + 0*d - 15 = -2*z, -r*d - 21 = -z. Let i = -7 + 10. Solve 12 = 5*a - 2*b, i*b = 2*a - z + 2 for a. 2 Suppose 0 = -8*u + 5*u + 9. Suppose -9 = -2*z + u. Let q be ((-1)/(-3))/(1/6). Solve 3*m - 5*j + z = -15, 2*j = -2*m + q for m. -2 Let h = -34 + 27. Let i be (-1 + 8)/(h/(-28)). Solve r = 2*r - 5*x - 22, -r - i = 5*x for r. -3 Let u(y) = 4*y. Let d be u(1). Suppose 5*c - 5 = 15. Suppose -c*h - b - 3*b = 4, -4*h - 9 = 5*b. Solve 4*i + d = -2*a, -3 = -4*a - h*i - 7 for a. 0 Let a(q) = -5*q + 17. Let b be a(3). Solve -2*c = 3*z, 0*c - b*c + 4*z = 0 for c. 0 Let b(q) = q - 2. Let r be b(6). Suppose -4*o + 5*o - r = 0. Solve 4*l + o*j + 8 = 0, -4*l - 10 = -j + 6*j for l. 0 Let g(r) = -2*r - 1. Let n be g(-2). Let m be (-8)/80 - (-2)/20. Suppose w + 3*y - 3 = m, -3*y = 5*w - 2*y - 15. Solve -5 + w = -n*t + k, -t + 2*k = -9 for t. -1 Let b = 12 - 12. Suppose -2*y - y + 9 = b. Suppose -121 = -5*u - 26. Solve -5*m + u = -5*j - 11, 5*m = y*j + 22 for j. -4 Let i(d) = 13*d - 8. Let w be i(-5). Let j = w - -76. Solve 3*q + 2*t = -j*t + 17, 5*q - 18 = 2*t for q. 4 Let r = 229 - 223. Solve -3*y + r*y - 3*g = 9, 17 = -5*y - 3*g for y. -1 Let h be 124/(-44) + 3 - (-471)/11. Let o = -39 + h. Solve -t - 4 = -o*d + 5, 0 = 4*t + 5*d + 15 for t. -5 Suppose 492 - 78 = -6*r. Let y = -67 - r. Solve 5*j + o = y, 4*o - 10 = -5*j - o for j. 0 Let b = 981 + -978. Solve 0 = d - 5*f - 23, 3*d - d + b*f = -19 for d. -2 Let b be 6 + 3 + -6 + -2 + 2. Solve 4*t = 4, f + b + 1 = t for f. -3 Let l = 249 - 245. Solve 0 = -l*z + p - 1, 2*z - 7*p = -2*p + 13 for z. -1 Suppose -65*d = -69*d + 8. Solve -4*a = 7*w - 5*w, 24 = 5*w - d*a for w. 4 Let b = 9 - 15. Let z = 8 + b. Suppose 5*s - 3*s = -17*s. Solve s*d - 5*q + 25 = -d, -z*d - 18 = -2*q for d. -5 Let h(b) = -4 - 30 - 2*b + 14. Let p be h(-11). Solve p*w - 1 = 5*y - 6, -3*w - 2*y = 17 for w. -5 Let i(z) be the second derivative of -z**4/12 + 3*z**3/2 - 7*z**2/2 - 3*z. Let o be i(5). Solve -12 = -4*p - r + 1, 5*p - o = 2*r for p. 3 Suppose 0 = -3*x + 3*g - 33, 2*g - 41 = 5*x + 4*g. Suppose 0 = 5*l + 64 - 94. Let h be (x + 14)*l/10. Solve -11 = 3*c - 2, -3*p - 15 = h*c for p. -2 Let f = -634 + 637. Solve -f*u - 18 = -3*r, -3*u - 5 + 2 = 0 for r. 5 Suppose -a = -4*y + 4*a - 26, 4*y - 3*a + 22 = 0. Let o be -1 + 0 + (-1 - y). Solve 2*i = -4*u + 12, 2 = 2*u + o*i + i for u. 4 Let p(u) = -9*u - 144. Let a be p(-16). Solve a*q - 2*q - 17 = 3*l, 5*q + 20 = -3*l for q. -1 Let q = -2 + 7. Let t(m) = 5*m + 9. Let c be t(6). Let x = -34 + c. Solve -4*d + q = 3*r - 2, -r + x*d = -15 for r. 5 Suppose -34 = -18*m + 38. Solve 2*a = 4 - 2, -a = 3*u - m for u. 1 Let v(k) = 3*k - 5. Let q be v(5). Suppose -15*d = -q*d - 5. Solve -u - d = -4*m, -2 = 2*m + 4*u - 16 for m. 1 Let n(m) = -24*m + 340. Let i be n(14). Solve 4*f + i*t = -12, -7 = -f + 6*f - 3*t for f. -2 Let s = 1 - 1. Let c(m) = -1018*m**3 + 1019*m**3 + 2*m + 2*m - 3*m**2 + 1. Let b be c(2). Solve -3*t - 4*z - 6 = s, -2*z = b*t + 3*z + 5 for t. 2 Let l be (-3)/(-2)*(-200)/15. Let j be l/(3/(-3) - 1). Let i be (-21)/(-35) - (-34)/j. Solve 19 = a + i*x, 0*x - 4*x + 22 = 2*a for a. 3 Let v = 55 + -27. Let b = v - 23. Solve 5*r - h + 20 = 0, b*r - 3 = -4*h + 2 for r. -3 Let h(q) = q**2 - 2. Let b be h(4). Let i(o) = 145*o + 293. Let p be i(-2). Let s = p + b. Solve -4*r - s - 23 = 4*f, -f = 5*r + 30 for r. -5 Suppose -f - 9 = 3*f - 5*c, 0 = 3*f - 4*c + 8. Suppose f*w - 6 = 2*w. Let g(m) = -m + 9. Let d be g(2). Solve 2*n + 2*n + 2*i = -14, n - w*i = d for n. -2 Let z(v) = 9*v**2 - 65*v + 21. Let u be z(7). Solve -5*l - 20 = 0, 4*l + u = 3*t - 3 for t. -2 Suppose 21*k - 48*k = -54. Solve k*d + f - 2*f = 3, 0 = -5*d - 4*f + 40 for d. 4 Let k be -6 + 4*15*6/36. Let d be (1/2)/((-1)/(-4)). Solve k*t + 6 = -d*s, s - 4*t - 28 + 7 = 0 for s. 5 Let t(n) = -14*n - 655. Let j be t(-47). Solve 0 = -j*r + 4*q + 16, 3*r = -5*q + 4*q - 4 for r. 0 Suppose 62 = 5*h + 2*c, -h = 3*h - 2*c - 46. Suppose r = 9*r - 120. Let w = r - h. Solve 4 = -2*j, 0 = -w*n + 2*n - 5*j - 10 for n. 0 Suppose -5*y = -y + 2*u - 16, 4 = 2*u. Solve 2*z + y*k = 8*k + 5, -z + 6 = k for z. 5 Let y(k) = -k**3 - 4*k**2 + 4*k + 5. Let d be y(-4). Let g(w) = -w**2 - 13*w - 19. Let z be g(d). Solve -3*t + z*i + 6 = 0, 0*i - 2*i + 8 = 4*t for t. 2 Let u(b) = 6 + 13*b - 7 - 15 - 6*b. Let j be u(8). Solve -t - 10 = -3*y, 4*t - t + 5*y = j for t. 5 Suppose 7*u - 10 - 4 = 0. Let d(w) = 4*w**3 - 2*w**2 + 2*w + 2. Let b be d(u). Solve 5*n - 3*i = -8*i - b, n + 21 = -4*i for n. -1 Let b be (-74 + -1)/(-5) + -10. Solve 0*r - 3*x = b*r - 9, 11 = 5*r + 2*x for r. 3 Let o(x) = 24*x - 36. Let a be o(4). Let m be (3 - a/(-27)) + (-6)/27. Solve 0 = -q - 3*u + 1, -q - m*u = 4*q - 5 for q. 1 Let b = 10 + 10. Suppose 21*r - b = 11*r. Solve 5*j = 2*k + 6 - 3, -3*j + k + r = 0 for j. 1 Let r(g) = 3*g - 4. Let b be r(2). Solve 0 = b*f - 2*n, -n - n = 2*f + 16 for f. -4 Let j(m) = -4*m - 12. Let k be j(-6). Let p be ((-11)/(-3) - 3) + 64/k. Solve 1 = 5*i + 2*y + p, 2*i = y - 2 for i. -1 Let r = 676 - 652. Solve -5*h - v = -r, 4*h + v + 1 = 21 for h. 4 Let u(b) = -b + 26. Let l be u(17). Suppose -12*t + l*t - 108 = 0. Let g be (88/(-10))/(t/90). Solve -3*h + 5*w = 0, h - 4*w -
{ "pile_set_name": "DM Mathematics" }
-1)/(-1)*-1 - -3. Suppose 8 - 6 = k. Let t(m) = -3*m**2 - 4*m**2 + m**g + k*m**2. Let j(i) = 2*i. Calculate t(j(b)). -16*b**2 Let j(g) = -g - 2. Let c(k) = 2*k + 5. Let u(p) = 4*c(p) + 10*j(p). Let i(m) = 20*m. Determine i(u(h)). -40*h Let r(q) = 5011*q. Let d(o) = 2*o**2. Determine d(r(n)). 50220242*n**2 Let m(r) = -111*r**2 + 24*r**2 + 36*r**2. Let j(v) = v**2. What is j(m(u))? 2601*u**4 Let y(c) = -7*c**2 - 4*c. Let h(q) = -6*q**2 - 3*q. Let r(i) = 4*h(i) - 3*y(i). Let x(f) = -4*f**2. Calculate x(r(d)). -36*d**4 Let i(j) = -16*j. Let f(t) = t + 3*t - 3*t. Calculate i(f(b)). -16*b Let a(z) = 21984*z**2. Let p(v) = -2*v**2. What is p(a(o))? -966592512*o**4 Let h(n) = -63*n**2 + 117*n**2 - 53*n**2. Let i(r) = r - 7. What is h(i(b))? b**2 - 14*b + 49 Let c(n) = -n**2. Let m(r) = -2 + 2*r + 0*r + r + 2*r. What is m(c(k))? -5*k**2 - 2 Let a(x) = -x. Let w(i) = 3144*i. Calculate w(a(v)). -3144*v Let p(t) be the third derivative of t**5/30 + 57*t**2. Let r(b) = b - 3*b + 4*b. Determine p(r(x)). 8*x**2 Let l(c) = -c**2. Let i(y) be the second derivative of y**6/360 + y**4/12 - y. Let m(g) be the third derivative of i(g). Calculate l(m(s)). -4*s**2 Let s(x) = 0*x**2 + 0*x**2 - 3*x**2. Let f(w) = -4*w**2 + 9*w + 9. Let k = 16 + -25. Let j(m) = m**2 - 2*m - 2. Let r(v) = k*j(v) - 2*f(v). What is s(r(d))? -3*d**4 Let v(j) = 0*j + 6*j**2 - 8*j**2 + 0*j. Let d(w) = 14 + 7*w**2 - 14. Give d(v(c)). 28*c**4 Let b(x) be the second derivative of -x**3/3 + 2*x. Let v(n) be the third derivative of n**4/6 + 14*n**2. Give b(v(u)). -8*u Let n(g) = g**2 + 5*g - 5. Let t(h) = -2*h + 2. Let d(s) = -2*n(s) - 5*t(s). Let j(f) = 2*f**2. What is d(j(z))? -8*z**4 Let j(x) = -x**2 + 3*x - 44. Let k(u) = 2*u**2. Determine j(k(o)). -4*o**4 + 6*o**2 - 44 Let h(b) = -2*b**2. Let p(i) be the third derivative of -i**6/360 + i**3/3 - 2*i**2. Let z(j) be the first derivative of p(j). Give z(h(n)). -4*n**4 Let h(g) be the first derivative of -2*g**3/3 + 2. Let k(q) be the first derivative of -q**3 + 1 - 3*q**3 + 5*q**3. What is h(k(x))? -18*x**4 Let k(i) = -2*i**2. Let z(t) = 2*t. Let x(u) be the third derivative of -5*u**4/24 + 2*u**2. Let c(q) = 3*x(q) + 8*z(q). Give k(c(s)). -2*s**2 Let n(x) = x**2. Let k be 16/6*(-39)/(-4). Suppose 3*q - q - k = 5*z, 4*q = -3*z. Let r(b) = b + 4*b - q*b. Give n(r(w)). 4*w**2 Let v(s) = s**2 + 2*s - 2. Let x(a) = 2*a**2 + 3*a - 3. Let q(h) = -3*v(h) + 2*x(h). Suppose l - 5*l = -8. Let b(u) = -u**2 - u**2 + 3*u**l. Determine b(q(f)). f**4 Let x(g) be the third derivative of 0*g + 1/24*g**4 + 2*g**2 + 0*g**3 + 0. Let k(h) = h**2. Give k(x(n)). n**2 Let i(r) be the third derivative of r**5/60 + r**3/3 - 2*r**2. Let t(y) be the first derivative of i(y). Let u(s) = -2*s**2. Calculate t(u(n)). -4*n**2 Let c(s) = s. Let p(q) = q**3 + 4*q**2 - 5*q + 4. Let o be p(-5). Let u(g) = g + 0*g - o*g. Give u(c(t)). -3*t Let a(i) = -4*i**2. Let d(k) = -5*k - 7. Let w(u) = 2*u + 3. Let p(s) = -6*d(s) - 14*w(s). Give a(p(q)). -16*q**2 Let s(u) = -5*u**2 - 7*u + 7. Let b(j) = -2*j**2 - 3*j + 3. Let c(a) = -7*b(a) + 3*s(a). Let v(f) = 0*f**2 + 2*f**2 + 0*f**2. Give v(c(k)). 2*k**4 Let x(g) = 10*g - 15*g + 8*g. Let r(n) = -4*n**2 - 3. Let l(v) = -5*v**2 - 4. Let p(u) = 3*l(u) - 4*r(u). Calculate p(x(o)). 9*o**2 Let h(x) = -2*x. Let b(d) = 0*d**2 + 10*d**2 - 1 + 1. Determine h(b(p)). -20*p**2 Let x(n) = 134*n. Let v(q) = -27*q. Let d(a) = 16*v(a) + 3*x(a). Let w(i) = -i**2. What is d(w(o))? 30*o**2 Let q(u) = u**2. Suppose 0 = -3*n + 2*m + m + 18, -26 = -3*n + 5*m. Suppose 4*o + 4 - 12 = 0. Let j(y) = 4 - n - 2 - o*y. What is q(j(x))? 4*x**2 Suppose 0 = 5*x + 3*d - 24, -2*x + 24 = 2*x + 4*d. Let c = x - 1. Let g(f) = 4*f**c - f**2 - 4*f**2. Let m(w) = -2*w. Calculate g(m(o)). -4*o**2 Let s(x) = 143*x**2. Let y(h) = -8*h. Determine y(s(v)). -1144*v**2 Let t(c) = 6*c. Let f(x) be the second derivative of x**6/360 - x**3/6 + 6*x. Let q(o) be the second derivative of f(o). What is t(q(j))? 6*j**2 Let j = -17 + 19. Let s(t) be the second derivative of 0 + 0*t**2 + j*t - 1/3*t**3. Let h(u) = u**2. Calculate s(h(f)). -2*f**2 Let v(j) = -2*j**2. Let h(o) = 3*o + o - 7*o. What is h(v(m))? 6*m**2 Let j(r) = -3*r + r + 0*r. Let h(q) = 6*q. Determine j(h(y)). -12*y Let f(a) = -a**2 + 2*a. Let g(q) = -2*q**2 + 3*q. Let r(m) = -6*f(m) + 4*g(m). Let k = 3 + -1. Let b(o) = 2*o**k - 2 + 2. Determine b(r(y)). 8*y**4 Let z(o) = -53*o. Let a(s) = 28*s. What is a(z(x))? -1484*x Let t(i) = 2*i. Suppose 2*r - 2 = -q, -4*q = -2*r + 3 - 1. Let c(f) = q*f + 7*f - f - 7*f. Give c(t(m)). -2*m Let s = -1 + 4. Suppose -s*r = -12 + 3. Let h(u) = -r*u**2 - 39 + 39. Let o(l) = l**2. Determine h(o(x)). -3*x**4 Let q(o) = -25*o. Let u(k) = -29*k + 1. Give q(u(w)). 725*w - 25 Let l(s) = -s**3 - 2. Let d(v) = v**3 + 3. Let q(r) = 3*d(r) + 4*l(r). Let h(z) be the first derivative of q(z). Let p(j) = -2*j. Calculate h(p(i)). -12*i**2 Let h(a) = a + 2. Let w = -7 - -11. Let b(d) = 5*d + 11. Let p(o) = w*b(o) - 22*h(o). Let s(x) = -2*x. What is s(p(v))? 4*v Let a(l) = 31*l**2 + 4*l. Let o(f) = -f**2. Determine o(a(v)). -961*v**4 - 248*v**3 - 16*v**2 Let q(x) = 19*x**2. Let i(z) = -z**2 - 2. Determine i(q(v)). -361*v**4 - 2 Let o(i) = -2*i. Let r(t) = -1 + 4 + 12*t - 5. Give r(o(b)). -24*b - 2 Let b(w) = 2*w. Let n(i) = 12*i + 5. Let c(o) = 133*o + 56. Let k(a) = 5*c(a) - 56*n(a). Give b(k(g)). -14*g Let p(u) = -u**2 + 46*u - 46*u. Let s(v) be the second derivative of v + 0*v**2 + 0 + 1/3*v**3. Calculate p(s(a)). -4*a**2 Let d(f) = f. Let c = 13 + -10. Let j(l) = l + 0*l + c*l - 2*l. Determine d(j(y)). 2*y Let h(l) = 5*l. Let m(a) = a. Let u(p) = h(p) - 3*m(p). Let n(d) = -d. Let o(v) = 7*n(v) + 4*u(v). Let k(b) = -5*b**2. Determine o(k(z)). -5*z**2 Let f(d) = -5*d - 2. Let r(s) = -5*s - 3. Let n(b) = 3*f(b) - 2*r(b). Suppose -3*v + 9 - 3 = 0. Let x(o) = -6*o**2 + o**v + 2*o**2 + 5*o**2. Calculate x(n(g)). 50*g**2 Let t(c) = c**2 + c + 1. Let a(b) = 5*b**2 + 3*b + 3. Let f(j) = -a(j) + 3*t(j). Suppose 5*n - 6 - 4 = 0. Let z(r) = -r + r - n*r. Calculate f(z(w)). -8*w**2 Let k(s) = 12*s. Suppose 2 - 16 = -2*f. Let c(n) = 2*n - 5 + f - 2. Determine k(c(i)). 24*i Let m(f) = 0*f**2 + 0*f**2 - 2*f**2. Let j(c) be the second derivative of -c**3/6 + 2*c. Give m(j(a)). -2*a**2 Let b(y) be the third derivative of 0*y**3 + 0 + 1/12*y**4 + 0*y - 12*y**2. Let q(l) = 5*l. Let j(v) = -110*v. Let t(m) = 2*j(m) + 45*q(m). Calculate b(t(w)). 10*w Let m(d) = 5 - 17*d**2 + 23*d**2 - 5. Let r(v) = 4*v. Calculate m(r(a)). 96*a**2 Let v(w) be the third derivative of -w**5/15 + 3*w**2. Let u(x) = -2*x. Calculate u(v(i)). 8*i**2 Let w(b) = 11*b**2. Let t(v) = -10*v**2. Let n(c) = 5*t(c) + 4*w(c). Let f(j) = -7*j**2. What is n(f(u))? -294*u**4 Let g(a) = 15*a. Let t(o) = 4*o. Let k(n) = -6*g(n) + 22*t(n). Let u(b) = -12*b. Let z(r) = -4*r. Let i(s) = 4*u(s) - 11*z(s). Determine i(k(v)). 8*v Let l(h) = -11511*h**2. Let a(n) = 2*n**2. Determine a(l(g)). 265006242*g**4 Let l be -1*1*(1 - 1)/(-6). Let c(g) be the second derivative of 0*g**2 + g + l - 1/6*g**3. Let m(y) = -2*y. What is m(c(v))? 2*v Let k(p) = -2*p. Let i(t) = -373*t**2. Give k(i(g)). 746*g**2 Let b(a) = 4*a**2. Let n(p) = 2*p**2 + 3. Let f(m) = 4 + 3*m - 3 + m**2 - 3*m. Let r(h) = 3*f(h) - n(h). What is b(r(v))? 4*v**4 Let l(k) = -3*k - 11. Let a(n) = -n - 4. Let o(h) = 11*a(h) - 4*l(h). Let b(r) be the second derivative of r**4/4 - r. Calculate o(b(u)). 3*u**2 Let s(r) = 17*r**2. Let u(f) = -49*f. Calculate u(s(o)). -833*o**2 Let s(g) = -43*g. Let l(i) = 43*i**2 + i. Calculate s(l(v)). -1849*v**2 - 43*v Suppose 3 = b + 1. Let z(d) = 4 + b - 6 - 3*d**2. Let c(n) = -2*n**2. Give z(c(h)). -12*h**4 Let g(s) = -11*s. Let c(z) = -5*z. Let t(a) = -9*c(a) + 4*g(a). Let k(j) be the first derivative of -2*j**2 + 32. Calculate t(k(u)). -4*u Let y(t) = -5*t**2. Let c(a) = -106*a**2. Determine c(y(v)). -2650*v**4 Let f(l) = 2*l. Let a(p) = 3*p**2 + 5*p. Let y(q) = 10*q**2 + 16*q. Let c(j) = 16*a(j) - 5*y(j). What is c(f(i))? -8*i**2 Let u(z) be the second derivative of -z**3 - 3*z. Let a(l) = -l**2 + l. Let q(h) = h**2 - 2*h. Let o(b) = -6*a(b) - 3*q(b). What is u(o(f))? -18*f**2 Let m(f) be the first derivative of -f**2/2 + 27. Let q(i) be the third derivative of -5*i**4/12 + 2*i
{ "pile_set_name": "DM Mathematics" }
(a) 0 (b) 1/5 (c) 15 (d) j b Let p = -19 - -15. Let s = 3.1 - -5.9. Let j = 8.6 - s. What is the closest to -1/3 in 0, j, p? j Let i(u) = -u**3 + 2*u**2 + 2*u + 120. Let x be i(0). Let c = -599/5 + x. What is the closest to 0 in -3, c, 0.19? 0.19 Let x(y) = y**2 - 9*y - 49. Let k be x(-4). Which is the closest to 0.43? (a) -3/2 (b) k (c) 0.1 c Let f = 1 - 0. Let c = 31741 + -31746. What is the nearest to f in -4, c, -1? -1 Let w = 0.674 + -1.674. Which is the closest to 1? (a) 4 (b) 0 (c) w b Let n = 0.918 + 0.082. Let l = 0.7 - 0.6. Let q = 6 + -7. Which is the nearest to l? (a) n (b) q (c) 2/21 c Let n be 46/69*6/4. Let t = -11/16 - -9/16. Which is the closest to t? (a) -0.1 (b) 0 (c) n a Let o = 109.08 + -110. Let j = 1.02 + o. What is the nearest to 1 in -1/6, j, 3/7? 3/7 Let i = 1/16 + -35/48. Let p be (-3784)/(-2752)*(2 - (-72)/(-33)). Which is the closest to i? (a) -2/3 (b) 0 (c) -14 (d) p a Let s be 2*1*30/12. Let p = -5 + s. Let m = 23.35 + -22.35. Which is the closest to m? (a) 1 (b) 0.6 (c) p a Let l = 6670.29 + -6670. Which is the closest to 0.2? (a) -5/2 (b) 0.2 (c) 2 (d) l b Let n be -6 + ((-6)/(-12) - -6). Let l = -0.002 + 21.002. Let p = l - 21. What is the closest to n in -1, -6, p? p Let u = -67 + 467/7. Let h = 36 - 8. Let m = h - 24. Which is the nearest to -1? (a) -2/3 (b) u (c) m a Suppose 4*j - j + 15 = 0. Let k = 43204.06 + -43204. What is the nearest to k in 3, j, 2? 2 Let q = -11.01642 + 0.01642. What is the nearest to -1 in -2/9, q, 0, -56? -2/9 Let m = 226.068 - 0.068. Let a = m + -221. What is the closest to -2 in 0.3, a, 4? 0.3 Suppose -4363 = 4*j - 3*y, -j + 2*y = 4*j + 5445. Let v = j - -1084. Let i = -7 - -12. Which is the nearest to -3/7? (a) i (b) -1/4 (c) v b Let n = -11141 + 44565/4. Let d = -4.72 + -0.68. Which is the nearest to n? (a) d (b) -0.3 (c) -3 b Let u be (49/42)/((-217)/(-93)). Which is the closest to u? (a) -4 (b) 3 (c) 4.5 b Let l = 161 - 41. Let t = l - 118. Which is the nearest to 0.1? (a) -0.3 (b) t (c) -8/33 c Let i be 420/(-350)*(-1420)/(-6). Let c = i - -282. Let j = 48 + -91/2. What is the nearest to c in -5, j, 4/5? 4/5 Let h be 1/2 + (3 - 3). Let l = -1.34 + 3.84. Let b = 2.7 - l. What is the nearest to -1 in b, h, -4? b Let l = 4 + -3. Let s = 367 - 375. Let j be (s - 184/(-24))/(2/18). What is the nearest to -0.3 in 3/5, l, j? 3/5 Let x = 0.9712 - 0.907. Let s = x + -0.4642. Which is the nearest to -1? (a) 3/7 (b) 0.3 (c) -2/13 (d) s d Let f = 11746 + -11747. What is the nearest to f in -7/2, -36, -4? -7/2 Let d be (3 + (-34)/10)/((-234)/(-130)). Let v = -0.43 - -10.53. Let g = -10 + v. Which is the closest to g? (a) 1/4 (b) -0.2 (c) d a Suppose -2*s - 89 = -97. Suppose -p = -s*p + 5*w - 10, -p + 4*w - 1 = 0. What is the nearest to 2/11 in -4, p, 6? -4 Suppose -5*g + 2*g = -519. Suppose 3*h + g + 73 = 0. Let w = h - -653/8. What is the nearest to -0.2 in 0.3, 2/7, w? w Let x = 3.9 - 0.9. Let r = 0.07 - -3.93. Which is the nearest to 2/7? (a) x (b) -1/3 (c) r b Let h = 0.07783 - -1.92217. What is the nearest to h in 0.0102, -3, -5? 0.0102 Let k = -1.84 - 114.36. Let m = -116 - k. Which is the nearest to -1? (a) m (b) 1 (c) 0.18 (d) -5 c Let z = -26/231 + 5365/462. Which is the closest to 1/4? (a) z (b) 4 (c) 2/5 (d) -6 c Suppose 5*g + 20 + 4 = 4*v, 2*v = 5*g + 22. Suppose -9 = 3*t, -5 = -4*d + 4*t + 11. What is the closest to v in 2, d, -11? d Let l be 0 - -2 - 48/20. Let x = -33.419 - -33.719. Which is the closest to l? (a) x (b) -2 (c) 0.5 (d) -0.06 d Let g = 24771 - 24771.2. Which is the nearest to g? (a) 84 (b) 5/4 (c) 0.3 c Let d be (-4)/(-34) + (-8240)/10506. What is the closest to d in -2/11, 5, -421? -2/11 Suppose 32 = 4*g - 0*g. Let v(k) = -2*k**2 + 17*k - 20. Let o be v(g). Let t be (-10)/o + -2 + 6/4. What is the closest to -2 in -1, 2, t? -1 Let v be (-9)/(-12)*(-36)/(-81). What is the closest to v in -2/5, -1.3, 0, -3? 0 Let m be 57/(-126) + (-2)/(-7). Let b = -0.4137 - 1.5863. Let u = -0.5 - -4.5. What is the closest to m in b, u, 6/5? 6/5 Let h = -8413 + 8405.84. Which is the nearest to 0? (a) h (b) 1 (c) 5 (d) -2/15 d Let w = -15 + 10. Suppose -3*g = -2*y - 28, -g - 42 = -y - 52. Let z = -0.2 + -0.3. Which is the nearest to -2/7? (a) y (b) z (c) w b Let r = -1960 + 1960. Which is the nearest to r? (a) -0.2 (b) 1.3 (c) -1.4 a Let r = -24/19 + 178/171. Let l = 69.17 - -0.83. Let j = 84 - l. Which is the closest to -0.1? (a) j (b) -0.2 (c) r b Let g = -3.72 + -0.28. Suppose 5*u = 13*u. Let x be (-1)/15*3 + (u - 0). Which is the nearest to 3/7? (a) x (b) 2 (c) g a Let g = 0.212 - 0.264. Let m = g - 3.948. What is the nearest to -0.1 in m, -17, 2, -1/6? -1/6 Suppose 113*q - 156 - 70 = 0. What is the nearest to 3/4 in q, -5, -18? q Let b be (-18)/(-20)*(384/(-36) - -10). What is the nearest to -2/7 in -0.2, -0.5, b, 0.1? -0.2 Let t be -2 + (5 - 8) + (27/6 - -1). Let f = -10.5 - 1.5. Let p = f - -7. Which is the nearest to -0.8? (a) t (b) p (c) 4/5 a Let x = 27605 - 27605.4. Which is the closest to 0.04? (a) x (b) -0.5 (c) -8 a Let m = -652 - -655. Let p = -0.103 + 0.103. What is the closest to 4 in m, p, -4/7? m Let z = -1716.7 + 1717.7. Which is the closest to 0.1? (a) z (b) 3 (c) 8 (d) 2/43 d Suppose -375*o - 57 = -318*o. Which is the closest to o? (a) 0 (b) 2392 (c) 0.5 a Let g = -137.5 - -180. Let y = g + -1.5. Let z = -46 + y. What is the closest to -3 in 2, z, -2/5? z Let m = 0.5 - 0.2. Let f = 0.1 + m. Let c be 6345/1215 + (-2)/4*(-70)/(-7). What is the nearest to 4 in c, f, 1? 1 Suppose -31 = 5*d - 11. Let l be (-342)/(-45) + (-4 - 3). Which is the closest to 1/2? (a) d (b) l (c) 1.6 b Let i = 213/23 - 685/69. What is the closest to i in 1, -1/6, 2, -3/4? -3/4 Let u = -11234 - -11233.8. What is the closest to -2 in -2/19, 8, u? u Let l be 14*5/(-30) - -3. Let m = 7933/3 + -2644. What is the nearest to 2/3 in l, m, -5? l Let u = -7159 + 150341/21. What is the nearest to 1 in -4, -98, -1/9, u? u Let h = -3375/26968 + 1/6742. Let o = 0.1 + -0.16. Let n = 0.04 - o. Which is the nearest to n? (a) 0.08 (b) h (c) -0.2 a Let j(t) = -36*t**2 + 24*t + 96. Let x be j(-4). Let c = 2882/5 + x. Let a be 11/(-6) + 4/2. What is the nearest to 0 in a, c, -3? a Let g = -119 + 122.65. Let s = g - 2.4. Let p = 1.05 - s. What is the closest to p in 2/11, -0.5, 0.2? -0.5 Let j be 1/4 + 22/(-24). Let i = -234097.07 - -234097. What is the nearest to 1 in -1/14, j, i? i Let d = 1288.3 - 1288. What is the closest to 0 in 0.161, d, -0.14? -0.14 Let h = 5 - 11. Let c = -0.93408 + -0.06592. What is the nearest to 11 in c, 1, h? 1 Let v = 182.7 + -123.8. Let m = 59 - v. Let l(i) = i**3 - 11*i**2 + 11*i - 7. Let x be l(10). What is the closest to x in 5, -3, m? 5 Let v be 15/20*((-12)/16)/(15/(-16)). Which is the nearest to v? (a) 1 (b) 13 (c) 4 (d) 5 a Let k = -115 - -111. Let v = 34 - 34.25. Let f = v + -0.25. Which is the nearest to 3/5? (a) f (b) -3 (c) k a Let y = 9958 - 9959. Which is the closest to 1/8? (a) -1/5 (b) 41 (c) -4 (d) y a Let f be (-3)/(-8)*((-15)/180 + 12/16). Which is the nearest to 0.2? (a) f (b) 3 (c) 1 (d) -2/43 a Let f be 2576/(-798) - (-4)/(-38) - -4. Let w = f + -11/12. What is the nearest to w in 1, -1/7, -4? -1/7 Let m = 8/119 - 6/17. Let x = -0.0536 + -0.1464. What is the nearest to 0.1 in 97, x, m? x Let z = -0.2 + 0.3. Suppose -16*x - 8 = -12*x. Let v be (8/112)/((-4)/(16/x)). What is the nearest to z in -1/2, -2/15, v? v Let s = 0.138 + -0.188. Let r = -128/153 + 18/17. Which is the nearest to s? (a) -5 (b) 0.5 (c) r c Let w = 2687 + -5373/2. Let y = -219 - -658/3. Which is the nearest to 2? (a) 4 (b) w (c) -1 (d) y b Let f = -5041 - -14986/3. Let n = f + 46. Let z = 3381 - 3381. What is the nearest to z in -2/11, n, -2/29? -2/29 Let v = -8.2 + 8. Let u = -0.5 + 0.2. Let y = 105.1 + -105. Which is the nearest to y? (a) u (b) v (c) -4 b Let u = -5/28 + 3/7. Let l = -14.266 - 0.034. Let b = l + 9.3. What is the closest to -3 in -0.5, u, b? b Let i = 0.024 + 0.297. Let b = i + 0.179. What is the closest to 0 in -3/5, -3, b? b Let l = 36 - 43. Let s be 6/2 + (-33 - -32). What is the nearest to s in l, -3, -2? -2 Let g = -68.2 - -20.7. Let
{ "pile_set_name": "DM Mathematics" }
9*o**5 Expand (-t**2 + t**2 + t**2)*(t + 0*t + 0*t)*(1 + 5 - 3)*(96 - 31 + 18). 249*t**3 Expand (152*x + 122*x - 243*x)*(2 + 4 - 3) - 3*x + 0*x + 2*x. 92*x Expand (-1 + 0 + 3)*(11*g - 8*g - 11*g + (-1 + 2 - 3)*(2*g - 2 + 2))*(3*g + 0*g - 5*g). 48*g**2 Expand (-2*s + 4*s + 3*s)*(-1 + 0 + 10 + 2 - 1 - 3 + (-1 + 0 - 1)*(-1 - 1 + 3)). 25*s Expand (-2*v + 0 + 0)*(-1 + 0 - 1)*(6*v + 13 - 13)*(-10 - 1 + 6). -120*v**2 Expand (2*l - 2*l**2 - 2*l)*(0*l**2 + 2*l**2 + l**2 + (7*l + 14*l - l)*(-3*l + 1 - 1)). 114*l**4 Expand -2*z**2 + 1 - 1 + 0*z**2 - 4*z**2 + 2*z**2 + (0*z**2 + 2*z**2 - z**2)*(2 + 0 - 5). -7*z**2 Expand (-5*d**3 + 31*d**3 - 13*d**3 + (3 - 3 - 1)*(4*d**3 - 4*d**3 - 4*d**3))*(0 + 2 - 3). -17*d**3 Expand 5*d**5 - 6*d**5 + 0*d**5 + (-2*d**3 + 0*d**3 + 0*d**3)*(-4*d**2 + 2*d - 2*d) - 33*d**5 - 24*d**5 - 24*d**5. -74*d**5 Expand (4*j**2 - 4*j + 0*j + j)*(-9*j**3 - 5*j**3 + 3*j**3). -44*j**5 + 33*j**4 Expand 0*k**2 - 2*k**3 + 0*k**2 + (-3 + 0 + 1)*(4*k**3 - 3*k**3 - 3*k**3) + (3 - 3 - 2*k)*(8 + 5*k**2 - 8) - 39*k**3 - 8038 + 8038. -47*k**3 Expand (-52*f + 19*f - 26*f)*(4*f - 111 + 117 - 2*f). -118*f**2 - 354*f Expand (-133 + 166 + 166)*(2*s + 4*s**2 - 2*s). 796*s**2 Expand (2*p - 2*p + 2*p)*(3 + 2 - 3)*(788*p**4 - 7*p**3 + 2*p**3 - 807*p**4). -76*p**5 - 20*p**4 Expand (0*x + 5*x + 2*x)*(-2*x - 3*x + 3*x - x - 2 + 2 - x + 2 - 2 + (-1 - 1 + 0)*(5*x - 3*x + 0*x) + 2*x + x - 2*x). -49*x**2 Expand (-2 + 4 - 3)*(-3 + 1 + 3)*(-1 - j + 1 + (1 + 4 - 1)*(-1 - 4*j + 1) + 4*j - 3*j + j). 15*j Expand -5*b**3 - b**2 + b**2 + (2*b**3 - 3*b**3 + 3*b**3)*(0 + 0 + 2). -b**3 Expand (0*w - 3*w + 2*w)*(3*w - 2*w - 3*w) + 9*w**2 - 10*w**2 + 17*w**2 + (0 + 3 - 1)*(3*w - w**2 - 3*w). 16*w**2 Expand 3*c**2 + 1 - 1 + (1 + 3 - 3)*(14*c - 14*c + 4*c**2) - c**2 - c**2 + 0*c**2 + 6*c**2 - 3*c**2 - c**2. 7*c**2 Expand ((2*n + 1 - 1)*(3 + n - 3) + 2*n**2 + 3*n**2 + 2*n**2)*(13*n**3 + 9*n**3 + 5*n**3). 243*n**5 Expand -a - 3*a - 4*a + (a - 3*a + 9*a)*(-1 - 2 + 6). 13*a Expand 4*b**2 + 0*b**2 - 3*b**2 + (0*b - b - 10*b)*(0*b - b - 3*b). 45*b**2 Expand (9 - 9 - 7*g)*(g - 5*g - 3*g)*(0 + 3 - 4). -49*g**2 Expand (-47 + 47 - 339*f)*(2*f**2 - 2*f**2 + f**2)*(2*f**2 - 3*f**2 + 2*f**2). -339*f**5 Expand 10 + 287*o - 12 + 14*o + 2*o - 5*o + 4*o + 0*o - 3*o + o + (-3 - 2*o + 3)*(-2 + 0 + 4) + 3*o - 2*o + o - 2*o - o + 4*o - 3 + 3 - o. 298*o - 2 Expand (-60 + 106 - 46 - 8*y)*(-1 + 1 - y). 8*y**2 Expand (10*h - 11*h - h + 3)*(5 - 7 - 2). 8*h - 12 Expand (-96 + 49 + 46 + (-3 + 0 + 4)*(4 - 3 + 1))*(0*i**5 - 2*i**5 + i**5) + (-i**2 - i**2 + 0*i**2)*(-2*i - 2*i**3 + 2*i) + 5*i**5 + 0*i**5 - 3*i**5. 5*i**5 Expand (6*q**5 + q - 3*q**5 - q**5)*(218 - 15 + 18). 442*q**5 + 221*q Expand (5*c**2 + c - c)*(7*c - 6*c - 3*c)*(2 + 1 - 4). 10*c**3 Expand (5 - 3 + 0)*(0*d**2 + 3*d**2 - 2*d**2) - 14*d**2 - 330 + 154 + 162. -12*d**2 - 14 Expand (-189 - 34 - 244 + 68)*(f - f - f). 399*f Expand -2*j + 5*j + 0*j + (3 - 5 + 6)*(-12 - 14 + 21)*(0*j - j + 3*j). -37*j Expand -8*t**5 + 0*t**2 + 2*t**5 + 2*t**2 + t**4 + 2 - t**5 - 3*t**5 + 2*t**5 + (-3*t**3 + 4*t**3 - 4*t**3)*(t**2 - 2*t**2 + 2*t**2). -11*t**5 + t**4 + 2*t**2 + 2 Expand (9*l**4 + 0*l**4 + 6*l**4 - 2*l)*(1 - 1 + 5). 75*l**4 - 10*l Expand (6461*z - 6554*z + 1 + 2*z**2 - 4*z**2)*(-2 + 3 - 3). 4*z**2 + 186*z - 2 Expand (7*w**2 - 5*w**2 + 0*w**2)*((-2*w**2 - 3*w**2 + 3*w**2)*(-1 + 0 + 3) - w**2 - 2*w**2 + w**2 - 9*w**2 + 11*w**2 + 12*w**2). 16*w**4 Expand (-t - t + 0*t)*(0 + 2*t + 0) - 41 - 20*t**2 + 17 + 23. -24*t**2 - 1 Expand (5*z**3 - 4*z**3 + z**3)*(-2*z + 2*z + z) + 0*z**4 + 2*z**4 + 0*z**4 + z**3 - 3*z**4 - z**3 - 6*z**4 + 20 - 20. -5*z**4 Expand (16 + 12 - 5)*(-3 + r + 3)*(3 + 3 - 4). 46*r Expand (-2*k - 4*k + 3*k)*(3*k + 0*k - 6*k)*(62 + 5*k**2 - 62). 45*k**4 Expand ((1 + 1 - 3)*(2 + 2 - 5) - 1 + 2 + 7)*(1 - 3 + 3)*(-6 + 0 - 1)*(-2*t**2 + t**2 - t**2). 126*t**2 Expand 151*c - 151*c + 36*c**5 + (c**2 + c**2 - c**2)*(4*c**3 - 5*c**3 - 6*c**3) + c**5 + c**5 - 3*c**5. 28*c**5 Expand (2*o - o + o)*(224 - 102 + 496). 1236*o Expand 0*x - 3*x - x + (3 - 3 - 1)*(x + 3 - 3) + (-5 + 0 - 1)*(-x + 3*x - 3*x). x Expand (3*i - 3*i - i**2)*((2*i + 0*i - 3*i)*(2 - 2 + 1) + i + 0*i + i - 1 + 1 + 4*i)*(0*i**2 + 5*i**2 - 2*i**2). -15*i**5 Expand (2 - 2 - 5)*(5*n**2 - 5*n**2 - 2*n**5) + 4*n**5 - 2*n**5 + 0*n**5. 12*n**5 Expand (-4 + 4 - y)*(12 + 0 - 1)*(1 + 2*y**2 - 1 + (2*y - 1 + 1)*(0*y + 0*y - 2*y)) + 4 - 4 + 4*y**3. 26*y**3 Expand (-s**2 - 2 + 2)*(-795 + 51*s + 795)*(-1 + 3 - 15). 663*s**3 Expand ((1 + 2 - 4)*(5 - 3 + 0) + (-3 + 3 + 2)*(3 - 4 + 3))*(-5*g**2 + 0*g**2 - 3*g**2). -16*g**2 Expand (7*s**2 + 0*s**2 + 3*s**2)*(-2*s + 0 + 0) - 4*s**3 - 3*s**3 + 3*s**3 - 1 + 0*s**3 + 2*s**3 - 3*s**3. -25*s**3 - 1 Expand (g + 0*g + g)*(40*g**3 - 36*g**4 + 3*g**4 + 8*g**3 - 28*g**3). -66*g**5 + 40*g**4 Expand (-4*l + 120*l + 64*l)*(8 - 8 + 6*l). 1080*l**2 Expand 2*t**3 - 4*t + 4*t + (4*t - 2*t**2 - 4*t)*(4*t - 4*t - 2*t) + 1179*t**2 - 1179*t**2 + 70*t**3 + (t - t + 2*t**2)*(2*t - 3*t + 0*t). 74*t**3 Expand (0*i - i - i)*(-294 - 296 + 774)*(4 - 6 + 0). 736*i Expand (2*q + 4*q - 7*q)*(109*q - 51*q - 32*q)*(-3*q + 2*q + 2*q). -26*q**3 Expand ((-1 - 2 + 4)*(2 + 1 - 2) + (-5 + 6 - 2)*(-2 - 4 - 2))*(11*t + 225 - 225). 99*t Expand (5*v + 2 - 2)*(38*v + 275*v**2 + v**3 - 275*v**2). 5*v**4 + 190*v**2 Expand ((0 + 1 + 0)*(2 - 2 - 2*q) + (6 - 2 - 1)*(-q - 2*q + 2*q))*(-1 + 0 + 3). -10*q Expand (2*c**2 - 63*c + 119*c - 96 - 57*c)*(-1 + 2*c - 4*c - 2). -4*c**3 - 4*c**2 + 195*c + 288 Expand (2*r**5 - r**4 + r**4)*(-3 + 5 - 1) + (0*r + 0*r - 2*r**3)*(-2 + 2 - r**2) - 2*r**5 - r**5 - 3*r**5. -2*r**5 Expand (-3*k + 0*k + k)*(1 + 1 - 1) - 13 + 52*k + 50*k - 103*k. -3*k - 13 Expand (4*b + 0*b - 5*b)*(-1299 - 1171 + 2696). -226*b Expand (0*x**4 + x**4 - 2*x**4)*(-86 - 72 + 74)*(-x + 8*x - 3*x). 336*x**5 Expand (2*m + m - 2*m)*(0 - m**3 + 0) + 10*m**2 - 67*m**4 - 2*m + 62*m**4 - 2*m**2. -6*m**4 + 8*m**2 - 2*m Expand (4*l**3 - 2*l**3 - l**3 - 3*l**3 + 4*l**3 + 0*l**3 + (2 - 1 - 2)*(-l**3 + 0*l**3 + 0*l**3) - 4*l**3 + 5*l**3 + l**3)*(19*l + 119 - 119) + 1 + l**4 - 1. 96*l**4 Expand ((6*t - t - 2*t)*(4*t + t - 3*t) + 5*t**2 - 4*t**2 - 2*t**2)*(3 + 0 + 6) - t**2 + t**2 + 3*t**2. 48*t**2 Expand (-4*h**3 + 3*h**3 - 24*h**4 - h + 23*h**4)*(-2 + 0 + 3)*(-2 + 4 - 1). -h**4 - h**3 - h Expand (2*i**5 - 5*i**5 - i**5)*(-89 + 11 - 23 - 3 + 1 + 3 - 3 + 2 + 0 - 3 + 2 - 1 + (-5 + 2 + 1)*(2 - 1 + 0) + 4 - 1 - 1)*(1 + 0 + 3). 1648*i**5 Expand ((-2*g**2 + 0*g + 0*g)*(1 - 1 + 2) + g - g - g**2)*(142 - 142 + 7*g). -35*g**3 Expand (113 + c**4 - 113)*(0 + 6 - 3)*(-c + 2*c + 0*c). 3*c**5 Expand -99*y + 63 + 204*y - 103*y - 4 - y + 4 + (-1 + 4 - 2)*(y - y - 2*y) + 0 + 2*y + 0 + 3*y - 3*y - y - y + 3 - 3 - y + 3*y - y + 2*y - 2*y + y. y + 63 Expand (4 + f**4 - 4 + 0*f**3 - 2*f**4 + 0*f**3 + (0*f + 2*f + 0*f)*(f**3 + f**3 - 4*f**3) - 3 + f**4 + 3 - 2*f**4 + 2*f**3 - 2*f**3)*(-24*f + 4 - 7*f + 48*f). -102*f**5 - 24*f**4 Expand 64*t**2 - 68*t**2 - t - 3 + 2 + (t + t - t)*(2*t - 2*t + 2*t). -2*t**2 - t - 1 Expand (2*r**3 + 4*r**3 - 5*r**3)*(-2 + 2*r**2 + 2) + 0*r**5 + 2*r**5 - r**5 - 44*r**2 + 184*r**5 + 46*r**2 - 205*r**5. -18*r**5 + 2*r**2 Expand (2*u - 2 + 0*u + u)*(-22 - 22 + 16)*(0 - 4 + 2). 168*u - 112 Expand -18*l**3 - 3948*l + 3948*l - 15*l**4 + (l - 2*l + 3*l)*(l**3 - 2*l**3 + 3*l**3). -11*l**4 - 18*l**3 Expand (4*k**2 - 7*k + 7*k)*(-30 - 28 + 6) + 3*k**2 - k**2 + k**2 + (2*k + 3*k - 4*k)*(-3*k + 3*k + 2*k). -203*k**2 Expand (2*l - 3*l + 0*l)*(-30888 + 30888 - 728*l**2)*(-l**2 + 4*l**2 - 4*l**2). -728*l**5 Expand -g**3 - g**3 + 3*g**3 + (4*g - 4*g + 2*g**2)*(3 - 1 - 1 + 2*g) + 447*g**2 - 31*g**3 - 447*g**2 + 3*g**2 + 3*g**3 - 3*g**2. -23*g**3 + 2*g**2 Expand (-421*r + 281*r + 444*r)*(3*r - 4*r + 0*r). -304*r**2 Expand (-l + 3*l - 4*l)*(-2 + 2 - 1)*(-4 + 0 + 2)*(2 - 3 - 3)*(-3*l**2 + 6*l**2 - l**2). 32*l**3 Expand (-u - 2*u + 5*u)*(1 + 1 - 3) + (-1 + 7 - 4)*(-245*u - 776 + 776). -492*u Expand (-3 + 5 - 4)*(-4 - m + 4) - 2*m - m + 2*m + 4 - 8*m - 4 - 11*m + 0*m + m. -17*m Expand (0*n - 2*n + 0*n + (-5 - 3 - 5)*(6*n - n - 2*n))*(-4 + 5 - 3) + 0*n + 4*n - n. 85*n Expand (-r**4 + 10*r**2 + 31*r**2 - 7*r**2)*((0 - 3 + 6)*(-3 + 4 - 3) - 1 - 2 + 1). 8*r**4 - 272*r**2 Expand 2*w**5 - 4*w**5 + 3*w**5 + (5*w**2 - 3*w**2
{ "pile_set_name": "DM Mathematics" }
of 2298719, 2298720, 2298721, 2298722? h + 2298718 What is the r'th term of -12867, -102896, -347229, -823008, -1607375, -2777472, -4410441, -6583424? -12857*r**3 - 10*r**2 What is the k'th term of 13624, 1050, -11512, -24056, -36576? k**3 - 12581*k + 26204 What is the i'th term of -2109, -4448, -6785, -9126, -11477? -i**3 + 7*i**2 - 2353*i + 238 What is the u'th term of -23920, -48746, -73558, -98350, -123116, -147850? u**3 + u**2 - 24836*u + 914 What is the z'th term of 2354, -1026, -4404, -7780? z**2 - 3383*z + 5736 What is the i'th term of 49048, 49120, 49232, 49384, 49576? 20*i**2 + 12*i + 49016 What is the d'th term of -81804, -163456, -245048, -326550, -407932, -489164, -570216, -651058? 5*d**3 - 81687*d - 122 What is the w'th term of 171235, 171187, 171141, 171097? w**2 - 51*w + 171285 What is the j'th term of 290572825, 290572824, 290572823, 290572822, 290572821, 290572820? -j + 290572826 What is the d'th term of -3030, -24195, -81614, -193413, -377718, -652655, -1036350? -3021*d**3 - d**2 - 15*d + 7 What is the d'th term of -5265, -12233, -20901, -31269? -850*d**2 - 4418*d + 3 What is the d'th term of 267, 1166, 2789, 5220, 8543, 12842, 18201, 24704? 14*d**3 + 278*d**2 - 33*d + 8 What is the k'th term of 3127, 8360, 17091, 29320? 1749*k**2 - 14*k + 1392 What is the k'th term of -2081, -5382, -8683? -3301*k + 1220 What is the g'th term of 20432013, 40864042, 61296081, 81728136, 102160213, 122592318? g**3 - g**2 + 20432025*g - 12 What is the k'th term of -23783524, -23783520, -23783516? 4*k - 23783528 What is the u'th term of -24022, -47692, -71362? -23670*u - 352 What is the x'th term of 1485162, 1485146, 1485130, 1485114, 1485098, 1485082? -16*x + 1485178 What is the z'th term of -5659231, -11318592, -16977953, -22637314, -28296675? -5659361*z + 130 What is the f'th term of -147123, -147210, -147297, -147384, -147471, -147558? -87*f - 147036 What is the p'th term of 3139914, 6279953, 9419992? 3140039*p - 125 What is the l'th term of 86990, 173619, 259892, 345809, 431370? -178*l**2 + 87163*l + 5 What is the u'th term of -131736, -131073, -130406, -129735, -129060, -128381? 2*u**2 + 657*u - 132395 What is the w'th term of -12902, -51587, -116062, -206327, -322382, -464227, -631862? -12895*w**2 - 7 What is the a'th term of -44633, -89169, -133705, -178241, -222777, -267313? -44536*a - 97 What is the z'th term of -8126, -10470, -12814, -15158, -17502? -2344*z - 5782 What is the c'th term of -3266420, -3266465, -3266510, -3266555, -3266600, -3266645? -45*c - 3266375 What is the m'th term of 1695, 3575, 5631, 7857, 10247? -m**3 + 94*m**2 + 1605*m - 3 What is the z'th term of 297, 2531, 8571, 20313, 39653, 68487, 108711, 162221? 316*z**3 + 7*z**2 + z - 27 What is the c'th term of 70993579, 70993578, 70993577? -c + 70993580 What is the m'th term of 43950, 43982, 44082, 44280, 44606, 45090, 45762? 5*m**3 + 4*m**2 - 15*m + 43956 What is the a'th term of 1565508, 3131021, 4696534? 1565513*a - 5 What is the f'th term of 277, 737, 1173, 1585, 1973? -12*f**2 + 496*f - 207 What is the n'th term of 447207, 894482, 1341823, 1789230, 2236703? 33*n**2 + 447176*n - 2 What is the q'th term of -11198, -23490, -56856, -121832, -228954? -1756*q**3 - q**2 + 3*q - 9444 What is the y'th term of 160, 68, -22, -110, -196, -280, -362? y**2 - 95*y + 254 What is the w'th term of 10747440, 10747442, 10747444? 2*w + 10747438 What is the f'th term of -43840, -43760, -43654, -43510, -43316, -43060, -42730? 2*f**3 + f**2 + 63*f - 43906 What is the o'th term of 259258, 1038087, 2336140, 4153423, 6489942, 9345703, 12720712? o**3 + 259606*o**2 + 4*o - 353 What is the x'th term of -176802, -1414390, -4773564, -11315118, -22099846? -176799*x**3 + x**2 + 2*x - 6 What is the w'th term of 32463, 32354, 32163, 31884, 31511, 31038? -w**3 - 35*w**2 + 3*w + 32496 What is the x'th term of 5875956, 23503818, 52883582, 94015242, 146898792, 211534226? -x**3 + 5875957*x**2 - 2*x + 2 What is the s'th term of 546, 1239, 2056, 2997, 4062, 5251? 62*s**2 + 507*s - 23 What is the b'th term of -119251, -238315, -357401, -476509, -595639, -714791, -833965? -11*b**2 - 119031*b - 209 What is the t'th term of -306522, -306500, -306478, -306456? 22*t - 306544 What is the c'th term of 30905, 61968, 93307, 125060, 157365, 190360, 224183? 23*c**3 + 30902*c - 20 What is the z'th term of -21920, -45392, -68864, -92336? -23472*z + 1552 What is the b'th term of 2666, 1423, 180, -1063, -2306? -1243*b + 3909 What is the l'th term of -6568, -13081, -19590, -26095, -32596, -39093? 2*l**2 - 6519*l - 51 What is the f'th term of -15761, -31803, -47905, -64097, -80409, -96871, -113513? -5*f**3 - 16007*f + 251 What is the c'th term of -77710935, -77710923, -77710923, -77710941, -77710983? -c**3 + 19*c - 77710953 What is the b'th term of 8658642, 34634582, 77927808, 138538314, 216466094, 311711142? -b**3 + 8658649*b**2 - 6 What is the d'th term of -3227, -6143, -8761, -11081, -13103, -14827? 149*d**2 - 3363*d - 13 What is the m'th term of 3075, 13538, 31369, 56568? 3684*m**2 - 589*m - 20 What is the l'th term of 1111793, 1111807, 1111843, 1111907, 1112005, 1112143, 1112327, 1112563? l**3 + 5*l**2 - 8*l + 1111795 What is the m'th term of 1831, 1874, 1909, 1906, 1835, 1666, 1369, 914? -5*m**3 + 26*m**2 + 1810 What is the n'th term of 39055321, 39055319, 39055317, 39055315, 39055313, 39055311? -2*n + 39055323 What is the r'th term of -87460036, -87460038, -87460040, -87460042, -87460044? -2*r - 87460034 What is the f'th term of 1967, 1727, 1499, 1283, 1079, 887, 707? 6*f**2 - 258*f + 2219 What is the a'th term of 38269, 38066, 37735, 37276? -64*a**2 - 11*a + 38344 What is the l'th term of -107110, -107180, -107244, -107296, -107330, -107340, -107320, -107264? l**3 - 3*l**2 - 68*l - 107040 What is the x'th term of -103298168, -103298170, -103298174, -103298180, -103298188, -103298198? -x**2 + x - 103298168 What is the r'th term of -9673618, -19347237, -29020856, -38694475? -9673619*r + 1 What is the f'th term of -1367, 10321, 29809, 57097? 3900*f**2 - 12*f - 5255 What is the a'th term of -2745, -2181, -1541, -825, -33, 835, 1779? 38*a**2 + 450*a - 3233 What is the c'th term of 479864, 1919512, 4318924, 7678100, 11997040? 479882*c**2 + 2*c - 20 What is the s'th term of -196801131, -393602259, -590403385, -787204509, -984005631? s**2 - 196801131*s - 1 What is the k'th term of 28611, 114458, 257537, 457848, 715391, 1030166, 1402173? 28616*k**2 - k - 4 What is the v'th term of -128269, -256575, -384883, -513193, -641505, -769819? -v**2 - 128303*v + 35 What is the q'th term of -3418319, -6836635, -10254949, -13673261? q**2 - 3418319*q - 1 What is the p'th term of -37019, -73819, -110629, -147455, -184303? -p**3 + p**2 - 36796*p - 223 What is the w'th term of -3574212, -28593202, -96501894, -228745140, -446767792? -3574142*w**3 + w**2 + w - 72 What is the r'th term of -6669, 2676, 12021, 21366, 30711? 9345*r - 16014 What is the x'th term of 37349, 63906, 90463, 117020, 143577? 26557*x + 10792 What is the m'th term of -53236, -105807, -158378, -210949, -263520, -316091? -52571*m - 665 What is the i'th term of -9136465, -18272932, -27409399? -9136467*i + 2 What is the r'th term of -3675, -7696, -11653, -15546? 32*r**2 - 4117*r + 410 What is the c'th term of -856, -3628, -8248, -14716, -23032? -924*c**2 + 68 What is the n'th term of 48679697, 97359392, 146039087, 194718782, 243398477? 48679695*n + 2 What is the j'th term of -11038, -44097, -99190, -176311, -275454, -396613, -539782? j**3 - 11023*j**2 + 3*j - 19 What is the y'th term of -28009, -113905, -257063, -457483? -28631*y**2 - 3*y + 625 What is the u'th term of 56991, 72068, 97195, 132372, 177599, 232876, 298203? 5025*u**2 + 2*u + 51964 What is the b'th term of -5116882, -5116879, -5116876, -5116873, -5116870? 3*b - 5116885 What is the t'th term of 47895, 47132, 45879, 44136, 41903, 39180? -245*t**2 - 28*t + 48168 What is the h'th term of -109, -156, -105, 86, 459, 1056, 1919? 7*h**3 + 7*h**2 - 117*h - 6 What is the j'th term of -12, -5, 6, 21, 40, 63? 2*j**2 + j - 15 What is the b'th term of 338, 498, 940, 1658, 2646, 3898? -b**3 + 147*b**2 - 274*b + 466 What is the z'th term of -623, -1195, -1671, -2003, -2143? 8*z**3 - 628*z - 3 What is the t'th term of -859, -25
{ "pile_set_name": "DM Mathematics" }
e of 435 and 50. 4350 What is the lowest common multiple of 80 and 12? 240 What is the lowest common multiple of 416 and 24? 1248 Find the common denominator of 77/201 and 19/3. 201 Calculate the least common multiple of 35 and 15. 105 Calculate the lowest common multiple of 315 and 1512. 7560 Calculate the least common multiple of 24 and 3200. 9600 Calculate the smallest common multiple of 50 and 60. 300 What is the smallest common multiple of 10 and 784? 3920 Calculate the common denominator of -5/246 and 29/66. 2706 Calculate the least common multiple of 108 and 99. 1188 What is the common denominator of 4/11 and 62/125? 1375 Calculate the least common multiple of 246 and 2747. 16482 What is the smallest common multiple of 22 and 14? 154 Find the common denominator of 11/4952 and -109/40. 24760 Find the common denominator of -80/117 and 37/156. 468 Calculate the lowest common multiple of 8900 and 5. 8900 What is the common denominator of 71/670 and -85/134? 670 Calculate the smallest common multiple of 1515 and 8. 12120 What is the smallest common multiple of 9 and 22? 198 What is the lowest common multiple of 8 and 206? 824 What is the common denominator of -33/8 and 33/181? 1448 Calculate the smallest common multiple of 4125 and 10. 8250 What is the smallest common multiple of 3 and 405? 405 Calculate the common denominator of -45/32 and -77/120. 480 Calculate the common denominator of -67/784 and 1/16. 784 What is the common denominator of 109/6 and 80/39? 78 What is the lowest common multiple of 30 and 162? 810 Calculate the common denominator of -3 and 12/10939. 10939 Calculate the lowest common multiple of 124 and 44. 1364 What is the common denominator of 73/20 and -137/1224? 6120 Calculate the common denominator of -5 and -20/53. 53 What is the lowest common multiple of 34 and 780? 13260 What is the common denominator of 13/6 and -67/6315? 12630 What is the lowest common multiple of 225 and 240? 3600 Calculate the common denominator of 7/808 and -19/22. 8888 What is the common denominator of -39/976 and -47/128? 7808 Calculate the least common multiple of 2000 and 800. 4000 Find the common denominator of -45 and -59/230. 230 What is the least common multiple of 46 and 4508? 4508 What is the common denominator of -41/477 and -46/3339? 3339 Calculate the lowest common multiple of 8 and 8. 8 What is the common denominator of 87/8 and -73/134? 536 Calculate the common denominator of 13/1240 and 73/5208. 26040 What is the lowest common multiple of 99 and 176? 1584 What is the least common multiple of 2964 and 44? 32604 Calculate the common denominator of 34/15 and 107/72. 360 What is the common denominator of -91/120 and -131/150? 600 What is the common denominator of -45/4 and 97/822? 1644 Calculate the least common multiple of 148 and 16. 592 What is the least common multiple of 420 and 96? 3360 Find the common denominator of -121/234 and -61/78. 234 Calculate the common denominator of 23/256 and -101/12. 768 What is the smallest common multiple of 1677 and 774? 10062 Calculate the common denominator of -89/20 and 87/160. 160 Calculate the lowest common multiple of 138 and 132. 3036 Calculate the common denominator of -15/943 and -2. 943 What is the lowest common multiple of 106 and 8? 424 Calculate the least common multiple of 7 and 889. 889 What is the least common multiple of 22 and 26? 286 What is the common denominator of -89/12348 and -1/5292? 37044 Find the common denominator of -133/90 and -37/27. 270 What is the least common multiple of 1928 and 1446? 5784 Find the common denominator of 98/255 and 18/17. 255 Calculate the least common multiple of 149 and 2. 298 Find the common denominator of 61/16 and -35/8. 16 Find the common denominator of -121/6 and -13/12. 12 What is the common denominator of 65/4 and 45/1034? 2068 Calculate the least common multiple of 408 and 44. 4488 Calculate the common denominator of -29/88 and -74/33. 264 Calculate the common denominator of -9/889 and 97/6. 5334 What is the common denominator of -35/5729 and 58/153? 51561 Find the common denominator of 46/285 and 21/10. 570 What is the least common multiple of 78 and 27? 702 Calculate the least common multiple of 36 and 390. 2340 What is the common denominator of 143/96 and 107/276? 2208 Calculate the smallest common multiple of 22097 and 95. 110485 Calculate the common denominator of 23/1073 and -50/261. 9657 Calculate the least common multiple of 16 and 3156. 12624 Calculate the smallest common multiple of 98 and 1316. 9212 What is the lowest common multiple of 1 and 91? 91 Calculate the lowest common multiple of 22 and 33. 66 Find the common denominator of -19/66 and -76/3. 66 Calculate the least common multiple of 9 and 42. 126 Calculate the common denominator of -131/390 and -131/130. 390 Find the common denominator of 91/18 and -37/9129. 54774 Calculate the common denominator of -41/162 and 113/4302. 38718 What is the least common multiple of 3 and 3442? 10326 What is the smallest common multiple of 6 and 6? 6 Find the common denominator of -67/36 and -29/30. 180 What is the common denominator of -65/448 and -83/1736? 13888 Calculate the common denominator of 34/9 and 51/2. 18 What is the lowest common multiple of 110 and 150? 1650 Calculate the smallest common multiple of 1056 and 8. 1056 What is the common denominator of 75/316 and -11/16? 1264 What is the least common multiple of 364 and 294? 7644 Calculate the smallest common multiple of 1770 and 1416. 7080 Calculate the common denominator of 3/902 and -71/1230. 13530 What is the smallest common multiple of 24 and 700? 4200 Calculate the lowest common multiple of 12 and 296. 888 What is the smallest common multiple of 105 and 70? 210 What is the lowest common multiple of 3 and 24162? 24162 Calculate the common denominator of -89/1570 and 58/785. 1570 Find the common denominator of -173/330 and 79/2010. 22110 Calculate the lowest common multiple of 1851 and 18. 11106 What is the common denominator of -41/714 and 73/420? 7140 What is the lowest common multiple of 86 and 215? 430 Calculate the least common multiple of 240 and 528. 2640 Calculate the lowest common multiple of 340 and 2. 340 What is the common denominator of 20/21 and 55/39? 273 Calculate the least common multiple of 6699 and 20. 133980 Calculate the least common multiple of 20 and 412. 2060 What is the lowest common multiple of 198 and 1782? 1782 What is the common denominator of -27/130 and 3/91? 910 Calculate the least common multiple of 1539 and 108. 6156 Find the common denominator of -137/18 and -31/4404. 13212 Find the common denominator of -145/96 and 109/6672. 13344 What is the smallest common multiple of 4 and 424? 424 Calculate the common denominator of -15/76 and -61/40. 760 What is the least common multiple of 528 and 96? 1056 Find the common denominator of -74/27 and 92/75. 675 What is the least common multiple of 8 and 14? 56 Find the common denominator of -89/1008 and 61/96. 2016 Calculate the lowest common multiple of 312 and 66. 3432 Find the common denominator of 3/16 and -37/2182. 17456 What is the common denominator of -1/15 and 16/33? 165 What is the lowest common multiple of 8 and 10? 40 What is the common denominator of 19/24 and 71/504? 504 What is the common denominator of 71/6 and 7/888? 888 Calculate the lowest common multiple of 6175 and 715. 67925 Calculate the common denominator of -17/14 and 53/76. 532 Calculate the common denominator of -63/4 and 85/56. 56 What is the lowest common multiple of 133 and 171? 1197 What is the smallest common multiple of 9146 and 119? 64022 Find the common denominator of 59/44 and -43/192. 2112 What is the common denominator of -13/297 and -19/330? 2970 What is the lowest common multiple of 1976 and 4? 1976 What is the common denominator of -187/360 and 13/4? 360 Calculate the common denominator of -38/1455 and -47/6. 2910 Calculate the lowest common multiple of 1914 and 6. 1914 What is the smallest common multiple of 3 and 1015? 3045 Calculate the smallest common multiple of 193 and 5. 965 Calculate the least common multiple of 399 and 18. 2394 Calculate the common denominator of 38/81 and 79/234. 2106 What is the least common multiple of 310 and 40? 1240 Calcu
{ "pile_set_name": "DM Mathematics" }
53 a prime number? True Is 84923 a composite number? True Is 44501 a prime number? True Is 240319 composite? False Is 1157 prime? False Is 514567 prime? False Is 26879 prime? True Is 354509 a prime number? False Is 1315 composite? True Is 17597 prime? True Is 608689 a prime number? False Is 535 prime? False Is 49103 prime? True Is 47305 prime? False Is 21431 a composite number? True Is 3137 a prime number? True Is 23185 a prime number? False Is 1829629 composite? False Is 211753 a composite number? True Is 1543 prime? True Is 33149 a composite number? False Is 169379 composite? True Is 11351 a composite number? False Is 677305 a prime number? False Is 1034879 a prime number? True Is 196465 a prime number? False Is 272971 a prime number? True Is 2203 a prime number? True Is 2911243 a composite number? False Is 7571 a prime number? False Is 24155 a composite number? True Is 83023 a prime number? True Is 264697 composite? False Is 329009 a composite number? False Is 504446 composite? True Is 31883 composite? False Is 165409 prime? False Is 1465 composite? True Is 79087 prime? True Is 20285 composite? True Is 24493 prime? False Is 15397 composite? True Is 2411 composite? False Is 98909 composite? False Is 38821 a prime number? True Is 5567 composite? True Is 6805 composite? True Is 3037 a composite number? False Is 6805 a prime number? False Is 5501 prime? True Is 7993 prime? True Is 160253 a composite number? False Is 2561 prime? False Is 614 a composite number? True Is 4783 a composite number? False Is 47942 prime? False Is 245639 composite? False Is 83 composite? False Is 2051 prime? False Is 1799 a prime number? False Is 32347 a prime number? False Is 34097 composite? True Is 36761 a composite number? False Is 668849 a prime number? False Is 140591 a prime number? False Is 883205 a composite number? True Is 910297 a prime number? False Is 250109 a composite number? False Is 15501 composite? True Is 165671 composite? True Is 116995 prime? 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True Is 116579 a composite number? False Is 36629 prime? True Is 34199 composite? True Is 9719 a composite number? False Is 73093 composite? True Is 54617 a prime number? True Is 63911 prime? False Is 1655 a prime number? False Is 42049 prime? False Is 9131 a composite number? True Is 1082777 prime? True Is 1441 a composite number? True Is 6773 a prime number? False Is 366593 a composite number? False Is 381097 composite? False Is 26947 a composite number? False Is 15791 prime? True Is 5498 a prime number? False Is 33691 a prime number? False Is 65 prime? False Is 8147 composite? False Is 269879 prime? True Is 2719 prime? True Is 28877 a composite number? True Is 48607 a prime number? False Is 224633 composite? False Is 42859 prime? True Is 104779 a composite number? False Is 12077 composite? True Is 378599 a composite number? True Is 39901 prime? True Is 50411 composite? False Is 28331 prime? False Is 3641 a prime number? False Is 11149 prime? True Is 40087 prime? True Is 65431 a composite number? True Is 470489 a composite number? False Is 150287 prime? True Is 6115 a composite number? True Is 15133 a prime number? False Is 3180859 composite? True Is 484927 a prime number? True Is 89627 prime? True Is 7355 a composite number? True Is 251231 a composite number? False Is 479939 a composite number? False Is 194003 composite? False Is 22565 a prime number? False Is 34583 composite? False Is 8849 a prime number? True Is 160705 a prime number? False Is 61751 prime? True Is 96953 composite? False Is 4574 prime? False Is 359 a prime number? True Is 28073 prime? False Is 28501 a prime number? False Is 10831 a prime number? True Is 149297 a prime number? True Is 2153 composite? False Is 1412707 composite? True Is 114451 a prime number? True Is 7341 composite? True Is 616171 a composite number? False Is 2923 a prime number? False Is 16486 composite? True Is 852347 a composite number? False Is 5089 prime? False Is 238613 prime? False Is 186601 composite? False Is 101429 a prime number? True Is 6689 composite? False Is 2327417 a prime number? True Is 17033 a composite number? False Is 319567 a prime number? True Is 163703 a prime number? False Is 29471 a composite number? True Is 22853 a composite number? False Is 2081 prime? True Is 99563 a composite number? False Is 55753 composite? True Is 213751 prime? True Is 4343 a prime number? False Is 3349 prime? False Is 21553 composite? True Is 5981 prime? True Is 13919 prime? False Is 175949 prime? True Is 31202 a composite number? True Is 1085131 composite? False Is 30631 a composite number? False Is 49727 a prime number? True Is 12689 composite? False Is 21355 composite? True Is 5447 prime? False Is 98399 a composite number? True Is 24481 a composite number? False Is 56561 composite? True Is 34123 a composite number? False Is 77191 prime? True Is 329003 a prime number? False Is 82939 a prime number? True Is 377719 a prime number? False Is 7867 a composite number? False Is 64483 a prime number? True Is 4535 composite? True Is 292933 composite? False Is 94591 composite? True Is 4391 a composite number? False Is 33643 composite? True Is 885061 a composite number? False Is 215753 a prime number? True Is 583093 prime? False Is 46993 a composite number? False Is 60397 a prime number? True Is 1213199 a prime number? False Is 789611 a composite number? False Is 177409 composite? False Is 74117 a prime number? False Is 484951 a prime number? True Is 299567 prime? True Is 60163 composite? True Is 156073 prime? False Is 412717 prime? True Is 356693 a composite number? False Is 31931 a composite number? True Is 122079 composite? True Is 110419 prime? True Is 8147 composite? False Is 17519 composite? False Is 56393 a prime number? True Is 111577 a prime number? True Is 327061 a composite number? True Is 2761 prime? False Is 7663 a prime number? False Is 543 a composite number? True Is 1241626 composite? True Is 308117 composite? False Is 1748833 prime? True Is 54127 composite? True Is 2063 a composite number? False Is 62809 a prime number? False Is 41671 composite? True Is 65333 a composite number? True Is 19419 a composite number? True Is 23227 composite? False Is 1139623 a composite number? False Is 58027 a prime number? True Is 6
{ "pile_set_name": "DM Mathematics" }
+ 7*c(r). -r + 2 Let t(w) = 19*w**2 - 3*w. Let i(d) = 10*d**2 - d. What is 5*i(m) - 3*t(m)? -7*m**2 + 4*m Let g(f) = -6*f**3 + 24*f**2. Let d(a) = -3*a**3 + 12*a**2. Determine -9*d(m) + 4*g(m). 3*m**3 - 12*m**2 Let k(t) = 2*t - 1. Let f = 5 - 8. Let a = 24 + -29. Let l(h) = -h + 1. Let y(b) = b - 1. Let j(d) = 3*l(d) + 2*y(d). Give a*j(m) + f*k(m). -m - 2 Let s(m) = -32*m**2 - 4. Let o(u) = -31*u**2 - 5. What is 4*o(h) - 5*s(h)? 36*h**2 Let x(n) = n**2 - n + 1. Let g(w) = w. Give 2*g(s) + 2*x(s). 2*s**2 + 2 Let o(v) = 29*v - 12 + 4 + 4*v - 37*v. Let s(d) = 3*d - 3*d + 1 + d. What is -o(b) - 6*s(b)? -2*b + 2 Let i(f) = 1. Let o(u) = 32*u - 6. What is -4*i(h) - o(h)? -32*h + 2 Let j = 2 + -7. Let g(r) = 3*r**2 - 7*r - 4. Let l(s) = -4*s**2 + 8*s + 5. Give j*g(i) - 4*l(i). i**2 + 3*i Let r(g) = g + 1. Let d(j) = 2*j**2 + 10*j + 10. Let z be -1*25 - (-30)/6. Give z*r(l) + 2*d(l). 4*l**2 Let g(z) = 3*z - 1. Let f(i) = -13*i + 4. Let a(y) = 2*f(y) + 9*g(y). Let m(o) = -o**2 + o. Calculate a(b) - 2*m(b). 2*b**2 - b - 1 Let h(y) = y**3 - 4*y**2. Let o(u) be the third derivative of u**6/12 - 3*u**5/4 + 13*u**2. Determine 45*h(p) - 4*o(p). 5*p**3 Suppose 3*f - 3 = -3*i, -f - f - 18 = -3*i. Let b(l) = -5*l**2 - 3*l + 5. Let u(d) = -4*d**2 - 2*d + 4. Calculate f*b(z) + 4*u(z). -z**2 + z + 1 Let p(k) = 4*k**3 - 3*k**2 + 8*k + 2. Let w(g) = -5*g**3 + 4*g**2 - 9*g - 3. Determine -3*p(i) - 2*w(i). -2*i**3 + i**2 - 6*i Let f(r) be the first derivative of 2 + 1/2*r**2 - r. Let p(o) = o - 1. Let l be 0 + 0 - (1 - -2). Determine l*f(h) + 2*p(h). -h + 1 Suppose 0 = -0*i + i - 119. Let h be i/11 - (-8)/44. Let k(n) = 0*n + 4*n + 5 + 16*n**2 + 7*n. Let z(m) = 3*m**2 + 2*m + 1. What is h*z(o) - 2*k(o)? o**2 + 1 Let t(g) = 8*g + 1. Let u(s) = 9*s + 2 + 3*s + 3*s. Give -11*t(f) + 6*u(f). 2*f + 1 Let r(c) = 9*c - 2. Let f(t) be the second derivative of -2*t**3/3 + t**2/2 - 4*t. Calculate 7*f(k) + 3*r(k). -k + 1 Let a = 2 + -4. Let p(i) = -2*i**2 - i - 5. Let k(j) = -1. Let d(n) = a*p(n) + 14*k(n). Let r be 2/6 - 4/(-6). Let s(f) = f**2 - 1. What is r*d(w) - 5*s(w)? -w**2 + 2*w + 1 Let q(m) = 4*m. Let v(t) be the first derivative of -t**3/3 - t**2/2 - 14. Give q(f) + 4*v(f). -4*f**2 Let c(a) = 21*a + 11. Let g(y) = 4*y + 2. Let j be (-2)/16*-4*-22. What is j*g(r) + 2*c(r)? -2*r Let h(i) = -i**3 - 3*i**2 + 3*i + 3. Let p = 24 - 24. Let k be (-4)/(-8)*p - 3. Let w(n) = 2*n**3 + 4*n**2 - 4*n - 4. Give k*w(u) - 4*h(u). -2*u**3 Let c(h) = h + 1. Let k(g) = -2*g**3 + 25*g - 5. Give -4*c(q) - k(q). 2*q**3 - 29*q + 1 Let i(m) = -8*m**2 - m - 4. Let q(w) = 7*w**2 + w + 3. Determine -4*i(p) - 5*q(p). -3*p**2 - p + 1 Let y be (-3)/(12/8) + -3. Let i(c) = 6*c**3 + 7*c - 2. Let w(q) = -7*q**3 - 8*q + 2. What is y*w(z) - 6*i(z)? -z**3 - 2*z + 2 Let v(k) = 31*k - 25. Let f(x) = -6*x + 5. Let q(d) = 11*f(d) + 2*v(d). Let j(p) = 9*p - 11. Calculate 3*j(c) + 7*q(c). -c + 2 Let w(x) = -22*x + 7. Let r(d) = -11*d + 3. Give 13*r(p) - 6*w(p). -11*p - 3 Let q be -4*(1 - 15/(-12)). Let f(n) = 4*n + 8. Let x(k) be the first derivative of -k**2/2 - 2*k - 3. Determine q*x(h) - 2*f(h). h + 2 Let j(p) = -p**3 + 8*p - 8. Let z(m) be the first derivative of -3*m**2/2 - 7*m - 4. Let k(q) = -q - 3. Let b(s) = 5*k(s) - 2*z(s). Give -24*b(f) + 3*j(f). -3*f**3 Let a(k) = k**3 + 6*k**2 - 1. Let m be a(-6). Let s(q) be the second derivative of -q**4/12 - q**2/2 + 5*q. Let d(u) = 5*u**2 + 6. Determine m*d(g) - 6*s(g). g**2 Let p(u) = -7*u**3 - 2*u**2 - 5*u + 6. Suppose -5*z = 35 - 5. Let y(g) = 2*g + 7*g**3 - 6*g**3 + 7*g**3 - 7 + 2*g**2 + 4*g. What is z*y(s) - 7*p(s)? s**3 + 2*s**2 - s Let l(x) = -10 + 31 + 2*x + x**2 - 9 - 9. Let b(u) = -u**2 - 3*u - 3. Determine -2*b(w) - 3*l(w). -w**2 - 3 Let i(p) = -22*p - 2. Let a(h) = -43*h - 4. What is 2*a(s) - 5*i(s)? 24*s + 2 Let x(c) = 3*c**2 + 1. Let g(s) = -2*s**2 - 1. Suppose -5*y - 5*h = 0, -2*y + 4 = 3*h - 1. What is y*g(q) - 3*x(q)? q**2 + 2 Let j(i) = i + 8. Let q(k) = k + 9. Determine 6*j(x) - 5*q(x). x + 3 Let j(b) = 5*b - 2. Let q(p) = -3*p + 1. Let k(g) = 4*j(g) + 7*q(g). Let n(m) = -4 - 2 + 3*m**2 - 5*m + 0*m - 2*m**2. What is 6*k(r) - n(r)? -r**2 - r Let z(a) = 9*a + 45. Let n(d) = -1. Determine 45*n(i) + z(i). 9*i Let g(m) = -m**2 + m. Let f(d) = -4*d**2 + 4*d + 2. What is -f(r) + 6*g(r)? -2*r**2 + 2*r - 2 Let l(k) = 5*k**3 - 3*k**2 + 4*k + 6. Let n(t) = -9*t**2 - 4*t**3 + 0*t - 3*t + 19*t**2 - 8*t**2 - 5. Calculate -3*l(g) - 4*n(g). g**3 + g**2 + 2 Let d(v) be the second derivative of -v**5/20 - 5*v**3/6 - 7*v**2/2 - v - 4. Let i(b) = b - b**3 - 3*b - 4 - b. Give -3*d(w) + 5*i(w). -2*w**3 + 1 Let o(n) = 286*n. Let r(t) = -13*t. Determine -6*o(c) - 130*r(c). -26*c Let g(f) = -9*f - 10. Let o(a) = -5*a + 28. Let b be o(7). Let t(s) = -6*s - 7. Calculate b*t(k) + 5*g(k). -3*k - 1 Let w(n) = -n**3 - n**2 + n - 2. Let b(g) = -2*g**3 + 3*g**2 - 5*g + 5. Let f(y) = -b(y) - 5*w(y). Let u(c) = -c**3 - 1. Give f(j) + 5*u(j). 2*j**3 + 2*j**2 Let g(s) = -s. Let y be (1 - 0)*0/1. Let q = 8 - 0. Suppose 3*d = -2*x + 13, y = d + 4*x + q - 29. Let r(j) = -6*j + 2. Calculate d*r(n) - 4*g(n). -2*n + 2 Let y(t) = -60*t**2 + 24*t - 4. Let k(g) = 12*g**2 - 5*g + 1. What is -14*k(z) - 3*y(z)? 12*z**2 - 2*z - 2 Let q(f) = -5*f + 2. Let z(h) be the first derivative of -11*h**2/2 + 4*h + 1. Suppose 3*c + 29 = 2. Calculate c*q(p) + 4*z(p). p - 2 Let q(n) = 4*n + 9. Let y = 66 + -36. Let f be (-10)/y + (-16)/6. Let r(o) be the second derivative of -o**3/3 - 2*o**2 - o. Calculate f*q(h) - 7*r(h). 2*h + 1 Let d be 6 - 2 - (-45)/(5 - 10). Let y(r) = -1. Let q(s) = 2*s + 6. Calculate d*y(w) - q(w). -2*w - 1 Suppose 27 = 5*d + 2*u - 4*u, 0 = 5*d - 3*u - 28. Let z(r) = -5*r + 2. Suppose 7 = i - 0*i. Let v(g) = 9*g - i + 6 - 2. Calculate d*z(c) + 3*v(c). 2*c + 1 Let n(b) = -b**2 + b - 1. Let x(d) = 14*d + 2. What is 2*n(f) + x(f)? -2*f**2 + 16*f Let d(h) = 7*h**3 + 5*h**2 - 4*h + 6. Let i(m) be the second derivative of 2*m**5/5 + m**4/2 - 5*m**3/6 + 7*m**2/2 - 11*m. What is 5*d(g) - 4*i(g)? 3*g**3 + g**2 + 2 Let f(d) = -4*d - d + 18 + 3*d - 3. Let u be f(11). Let o(t) = -2*t**2 - t - 6. Let w(l) = 2*l**2 + l + 5. Calculate u*w(n) - 6*o(n). -2*n**2 - n + 1 Let g(k) = -k**3 + k**2 + k + 1. Let o(c) = -4*c**3 + 8*c**2 + 6*c + 5. Calculate -6*g(q) + o(q). 2*q**3 + 2*q**2 - 1 Let h(b) = 11*b**2 - 5*b - 2. Let n(q) = 32*q**2 - 14*q - 6. Give -14*h(f) + 5*n(f). 6*f**2 - 2 Let g(f) = -2*f + 3. Let d(i) = i - 5. Let u(w) = 4*d(w) + 5*g(w). Let t(z) = -z - 1. Determine 22*t(s) - 4*u(s). 2*s - 2 Let t(c) = c + 1. Let i(v) = -13*v - 17. Determine -6*i(b) - 102*t(b). -24*b Let m = -4 - -8. Suppose 2 = 4*o - 18. Let d(x) = -2*x + 5. Let n(j) = 2*j + 6. Let i(r) = -5*r - 13. Let q(b) = -6*i(b) - 14*n(b). Determine m*q(c) + o*d(c). -2*c + 1 Let h(n) = -n**2 + 2*n + 4. Suppose -f - 2*z + 18 = 6, -10 = -2*z. Suppose -3 = f*t + t. Let v(j) = -j - 1. Give t*h(g) - 2*v(g). g**2 - 2 Let c(v) = v**2 - 9*v + 8. Let h(a) = -a + 1. Give 3*c(s) - 24*h(s). 3*s**2 - 3*s Let s(l) = 5*l + 5. Let m(a) = -14*a - 14. Let r = 48 + -40. Determine r*s(u) + 3*m(u). -2*u - 2 Let a(z) = -15*z**2 - 15*z. Let u(y) = -y**3 + y**2 + y. Determine -a(n) - 15*u(n). 15*n**3 Let h(c) = -c**3 - c**2 + c + 1. Let u(k) = -6*k**2 + 8*k + 5. Give -5*h(r) + u(r). 5*r**3 - r**2 + 3*r Let s(d) = -4*d**3 + 3*d**2 - 13*d + 3. Let m(p) = -7*p**3 + 5*p**2 - 25*p + 5. Give 3*m(k) - 5*s(k). -k**3 - 10*k Let k(c) = -14*c + 1. Let q(x) = -x + 1. Determine k(h) - q(h). -13*h Let b(u) = -8*u**3 + 5*u**2 + 17*u + 17. Let x(f) = -3*f**3 + 2*f**2 + 6*f + 6. Calculate -6*b(n) + 17*x(n). -3*n**3 + 4*n**2 Let h(d) = -2*d - 51. Let y(u) = -4*u - 102. Determine 11*h(a) - 6*y(a). 2*a + 51 Let u(z) = z - 2. Let v(x) = -3*x + 7. Give 11*u(w) + 4*v(w). -w + 6 Let g(l) = 50*l**2 + 7*l. Let s(x) = -17*x**2 - 2*x. Calculate 6*g(p) + 21*s(p). -57*p**2 Let b(a) = 10*a**2. Let i(m) = -1195 + 1195 + m**2. Determine 6*b(l) - 55*i(l). 5*l**2 Let y(k) = -k - 1. Let h(l) = -5*l - 2. Calculate -h(f) + 3*y(f). 2*f - 1 Let c(g) = -5*g. Let k(h) = -14*h. Suppose 5*n = 3*t - 7*t + 40, 19 = 3*t + n. Let w = 9 - t. Determine w*k(x) - 11*c(x). -x Let a(h) = 2*h**3 + 5*h**2 + 16*h + 4. Let d(c) = -c**3 - 3*c**2 - 8*c - 2. Give -3*a(o) - 5*d(o). -o**3 - 8*o - 2 Let o(u) = 4*u*
{ "pile_set_name": "DM Mathematics" }
be (-7)/(-14) + (-10)/u. Suppose -o + 5*l = 3, 0 = -o + l - 4*l + 5. Solve 5*j + 2*k = o, 0*j - 3*k = -r*j - 3 for j. 0 Let o = 2211 - 2207. Solve -5*s - 10 = a, -a + 3*s = -2*a - o for a. 5 Suppose 0 = -16*j - 2117 + 437. Let c = -103 - j. Solve -5*a + 19 = -t - c, 0 = -t + a - 1 for t. 4 Suppose 0 = -5*v, -4 = -n + v + 4*v. Suppose -3*x + 7 = 2*x + 3*p, 0 = -3*x + n*p + 10. Solve 5*u = x*c - 21 + 1, 3*c - u = 4 for c. 0 Let u(l) = 2*l**2 - 34*l + 84. Let s be u(14). Suppose 26*y - 18 - 34 = s. Solve 0 = -3*c - k + 4, y = k - 2 for c. 0 Let n(y) = y**2 + 16*y - 10. Let c be 4*(-45)/10 + (-2)/(-2). Let i be n(c). Suppose 0 = 3*m - i - 5. Solve 6 + 4 = 5*p + 2*q, -m*q = -p - 20 for p. 0 Let z(l) = 27*l - 373. Let b be z(14). Solve 28 = -5*i + q, 3*i - 10 = 2*i - b*q for i. -5 Suppose -4610 = -75*d - 335. Solve 2*y = -5*h + 10, -53*y - 20 = 5*h - d*y for h. 0 Suppose -139 = 3*s - 211. Suppose 278 = 5*k - 4*c, -3*c = 4*k - 0*k - 210. Suppose 4*f + 2*f - k = 0. Solve 4*g = l - f, 4*l - g = 3*g + s for l. 5 Let s(g) = -3*g**3 + 21*g**2 + 134*g - 6. Let i be s(11). Solve f - 11 = 25*v - 29*v, -2*v = 4*f - i for f. 3 Let k be ((-2 - -3) + 264)/1. Suppose 0 = 7*y - 2*y - k. Let g = y - 51. Solve 0 = -r - 3*x + 11, 0*x = -g*r - 2*x + 2 for r. -4 Let t = -3081 + 3086. Solve 5*q + l - 5 = 6*q, -4*q - t*l = -16 for q. -1 Let d be 5 - 2 - (-1 - 0). Suppose -4*q + 4 + d = 0. Suppose 7 + 14 = 7*r. Solve 4*x = -s + 12, -x + 0 + r = q*s for x. 3 Suppose -4*h = 4*w - 48, -392 + 434 = 3*w + h. Solve o = 5*b - 2*b - w, 5*b = -o + 17 for b. 4 Suppose -3*x + 8*x - 20 = -s, 2*x - s - 15 = 0. Let g = 224 - 222. Solve 3*t - g*w - 21 = -x*w, 4*t - 8 = w for t. 3 Let x(a) = a**3 - 20*a**2 - a + 30. Let w be x(20). Solve 3*d + 4*o + 18 = 0, d + 5*o = 9*o + w for d. -2 Let r = 91 - 86. Suppose 3*m - 27 = -r*j, 5*m - 2*m = 2*j + 6. Solve 12 = -4*f, 3*f - 6*f = -j*t - 3 for t. -4 Suppose 0*d + 6 = 2*d. Suppose 0 = 11*f - 112 - 141. Let n = 28 + -24. Solve 8 = -y - d*y - n*p, y - f = 4*p for y. 3 Let z = -615 - -618. Solve -z*p - 3*s = -15, -3*s = p + p - 14 for p. 1 Let f = -313 + 331. Suppose -15*m = -f*m + 3. Solve 4*a - 2*a + 1 = q, 0 = 5*a - q + m for a. 0 Suppose 0 = -4*l + 2*u + 8, 15*l + 2*u + 4 = 18*l. Solve -5*g = -z - 10, l*g - 24*z = -19*z - 13 for g. 3 Let o(c) = 37*c**2 - 4*c + 4. Let m be o(1). Suppose 4 = -3*s + m. Suppose 0 = -s*i + 16*i - 10. Solve 6 = 5*n + 4*l, 0 = 3*n + i*l + 2 - 4 for n. -2 Let s = -9332 - -9335. Solve s*r - 3*b + 5*b = 0, 4*b - 2 = -5*r for r. -2 Suppose -146 = -71*w - 4. Let b(k) = k + 12. Let p be b(-8). Suppose -w*x - 5 = 3*x - 5*z, p*x + z = 16. Solve -h = 4, -4 = -3*n - 2*h + x for n. 5 Let a = 214 - 202. Suppose 3*j - a*j = -27. Solve 4*g + 12 - 2 = -2*l, -9 = j*g for l. 1 Let v(m) = -m**2 + 26*m + 26. Let c be v(27). Let d be (18/(-3))/(c + 0). Solve 2*o + 8 = -o - 4*h, 2*o = -2*h - d for o. -4 Let q be (18/8)/((-15)/(-20)). Suppose -n - 3 = -2*g, -q = -g - 0. Let m be (52/(-91))/((-2)/14). Solve -n*i + 4*y - 3*y + 12 = 0, -2*y - m = -2*i for i. 5 Let a = 153 - -302. Let b = 457 - a. Solve t + 2*y + 8 = 0, 19 = 5*t - b*y - 1 for t. 2 Let x = -12562 + 12564. Solve 4*d + 2 - 8 = h, x*d = -h for d. 1 Let f be (12/(-10))/(20/(-25)) + (-110)/(-44). Suppose 0*i - 10 = -5*i + 3*l, 5*l = 0. Solve -4*k = i*n + 8, -k = -f*n - 11 + 31 for n. 4 Suppose -1171 + 1166 = -o - f, 0 = -3*o + 5*f - 9. Solve -3*c - 3*a - 5 = -o*a, 10 = 2*c - 2*a for c. 0 Suppose -260 = -32*g - 38*g + 160. Solve -9*t = -f - 5*t + 2, 0 = -3*f + 5*t + g for f. 2 Let s(x) = -x - 7. Suppose 0 = -4*l + 99 + 77. Suppose 3*t - 7*t - l = 0. Let r be s(t). Solve -4*d = -r*o + 17 + 7, 0 = -4*d - o - 14 for d. -4 Suppose 5*p - h - 14 = -34, -4*h = -2*p - 8. Let t be (p/(-22) - (-18)/22) + 4. Solve -d = -3*d - t*m - 5, 2*d - m = 1 for d. 0 Suppose s + 72 = 5*r + 13, -2*r = 5*s - 29. Suppose 42 = -351*x + 354*x. Suppose 7 + 7 = 2*l. Solve -q - 5*v + x = 0, 2*q + r = l*q - 4*v for q. 4 Suppose -u - u - 4*v + 60 = 0, -u - 5*v + 42 = 0. Let c(q) = 7*q**2 + 5*q + 6. Let j be c(1). Let d = u - j. Solve 20 = -3*y - 4*s, -3*y = -y + d*s + 16 for y. -4 Let k = -514 + 1041. Let o = -525 + k. Solve -o*w + 0 + 2 = a, 12 = -5*a + w for a. -2 Suppose 0 = 6*z - f - 60, 5*z - 17 - 26 = 2*f. Solve -s - s + 3*d + 3 = 0, z = 2*s + 5*d for s. 3 Suppose 5 = -2*f - 13. Let s(p) = -3*p**2 - 28*p - 6. Let y be s(f). Solve -y*d - 5 = 5*j, -d - d = j + 8 for d. -5 Let k(b) = b**3 + 5*b**2 + 5*b + 3. Let u = -211 - -355. Let s be 2/9 + (-464)/u. Let o be k(s). Solve g = o*g + 2*p + 26, -5*p = 2*g + 23 for g. -4 Let y be -1 + -4 + 4 - (-160)/32. Solve 3*p = y*h - 12, 4*h - 9*h = 0 for p. -4 Suppose -7 = -39*y + 38*y. Solve 3*p = -y*x + 8*x + 1, 4*x = -4*p + 28 for p. 2 Let c = 6111 + -6074. Solve -g + 7 = 2*y, -12*y + 17*y - c = 4*g for y. 5 Suppose -3*u = 3*u. Suppose u = -209*k + 214*k + 40. Let p be ((-6)/15)/(k/40). Solve -3*d - 2 = -p*n - 0*n, -3*n + 3 = 5*d for d. 0 Suppose 4*w = c + 24, -232*c + 7 = 3*w - 230*c. Solve 2*k + 3*n = 5*n, -3*k - 8 = w*n for k. -1 Let l(j) = j**3 - 24*j**2 + 21*j + 51. Let h(y) = 1. Let o(c) = -3*h(c) + l(c). Let d be o(23). Solve -t + 3 = 5*p - 9, -3*p + 15 = -d*t for t. -3 Let h be -6 - (-1014)/52*6/9. Solve -3*m = 4*i - 20, h*m - 5 = -i + 6*m for i. 5 Suppose -28*s + 42 = -4*s - 10*s. Solve 4*q - 17 = r, 0 = -0*q - s*q - r + 11 for q. 4 Let f = -570 - -578. Suppose 22*w - 96 = -f. Solve -3*r = 5*j + 4, 5*j = -2*r + 3*j - w for r. -3 Let r = -6 - -9. Let n(d) = 69*d - 685. Let h be n(10). Solve t = -2*m - 9, h*t + r*m = 6 - 30 for t. -3 Let r be (-76)/(9 + (-130)/10). Solve -r*j + 22*j = 3*t, -3*t + 5*j = 4 for t. 2 Suppose 0 = -138*y - 81 + 81. Solve 4*j - 21 = -z, j + y*j + z = 9 for j. 4 Let s(q) = -q**2 - 11*q + 60. Let i be s(-15). Suppose i*t - 4*y + 44 = 3*t, t = 2*y + 28. Let v be (-1 - t/(-8))*4. Solve 25 = 3*k + 4*f, 2 = 2*f - v for k. 3 Let j be (-3)/3 + -7 - (-17 - 91/(-13)). Solve 3*t - 11 = -j*x, 0 = -x + 3*t - 5*t + 7 for x. 1 Let u = -24 - -68. Suppose -48*a + 40 = -u*a. Solve -5*m - 48 = 4*i - 11, 0 = -2*m - a for i. -3 Let h be 23 - 18 - (4 + (-2 - -2)) - -8. Solve 0 = m + 3, 7*b - 2*m - 2 = h*b for b. 2 Suppose 40*r - 31*r - 45 = 0. Let x(l) = l**3 - l - 1. Let v be x(3). Let p be (-612)/(-32) - (-5)/(-40). Solve -5*d + 4*h = v - 55, -d + r*h + p = 0 for d. 4 Let g = 117 - 115. Let f be 3 - (4 - 1 - (g - -2)). Solve 0*n + f*n - 1 = -3*s, -5*n = 2*s - 10 for n. 4 Let s = -18 + 44. Let t be (4 - 0) + s/(-13). Suppose t*c = 7 - 3. Solve -9 = -c*h + d, -5*h + 7 + 10 = 3*d for h. 4 Let x be 114 - (-3 - (-6 - -6)). Suppose 0 = 9*h + 45 - x. Solve -6 = -3*p, 4*t = -p - p - h for t. -3 Let u be (-840)/(-1540)*22/4. Solve f = -4*w, 4*w - 19 = u*f - 35 for f. 4 Let q be (-154)/(-8) - 17*(-10)/(-680). Solve -3*w = -15*a + q*a + 23, 20 = -5*a + 5*w for a. -5 Let s be (-9)/14*4*210/(-45). Solve -4*g + 6*g = 4*h - s, -g = h - 6 for g. 2 Let c be (-22)/4 + (-759)/(-46). Solve 4*s - 3*f = -17, -4*f = 275*s - 278*s - c for s. -5 Let k = 12585 - 12583. Solve 10*y + k*g = 11*y - 1, -3*y - 27 = 4*g for y. -5 Suppose 6 = j + 2. Let w be (4 - 59)*((-12)/5)/j. Let t = w + -27. Solve 5*s - v + 11 = 1, -3*s = -3*v - t for s. -3 Let m = -3884 - -3892. Solve 3*f = 0, -5*l - m - 17 = -f for l. -5 Let x = 1082 - 855. Suppose -b - 218 = -x. Solve -5*z - k - 4 = -b, 0 = -3*z + 3*k + 21 for z. 2 Let g be 24/40 - (-312)/30. Suppose -g*q + 180 + 51 = 0. Solve 4*s - 4*p + q = 9*s, -8 = -s + 3*p for s. 5 Let j be 0*(3 - (-50)/(-15)). Suppose 4*h - 5*y - 14 = j, 0*h - 24 = -5*h + 3*y. Solve -f + 20 = -5*g, f - h + 21 = -2*g for g. -5 Suppose 3 = -3*v + 5*g, -2*v + v = -3*g + 1. Let i = v - -29. Suppose 5*p - i = -4*a, -p = -2*a - 0*p. Solve -d + 6*d = -3*h + 21, a*d = -5*h + 16 for h. 2 Suppose 92*d - 95*d = 24. Let m be 182/56 + 2/d. Solve 3*k + 7 = -2*r, -2*r + m*k = -5*r - 6 for r. 1 Suppose 0 = -27*n - 47*n + 370. Solve 3*m - 3*z - 18 = 0, 29 = -n*z + 14 for m. 3 Let p = 513 - 511. Let n(k) = k**2 - 9*k + 18. Let t be n(p). Solve -3*l = t*w + 10, l - 3*w + 3 = 4 for l. -2 Let w = 11531 + -11527. Solve w*t - 4*l = 32, -t = 17*l - 19*l - 13 for t. 3 Let b be 492/(-9)*33/(-11). Let j = 167 - b. Solve j*h = -0*h + 5*f + 9, 4*h - 3*f = 12 for h. 3 Let k(l) = -7*l + 150. Let n be k(
{ "pile_set_name": "DM Mathematics" }
t term in -286935, -573872, -860809, -1147746? -1434683 What comes next: -1715, -3430, -5145, -6860, -8575? -10290 What comes next: -534, -1132, -1730, -2328, -2926, -3524? -4122 What is next in 3546, 6734, 9922, 13110? 16298 What is next in 165367, 165369, 165371, 165373, 165375, 165377? 165379 What comes next: -203, -240, -299, -386, -507, -668? -875 What comes next: 641, 5163, 17435, 41333, 80733, 139511, 221543, 330705? 470873 What is next in -1582, -3067, -4480, -5815, -7066, -8227? -9292 What is next in 9710, 9692, 9674? 9656 What is next in -140, -49, 42? 133 What is the next term in 21, -9, -97, -267, -543, -949, -1509? -2247 What is the next term in 113, 116, 125, 140, 161, 188, 221? 260 What comes next: -125186, -125189, -125192? -125195 What is next in 200, 341, 482, 623, 764? 905 What comes next: -36719, -36732, -36735, -36722, -36687, -36624, -36527, -36390? -36207 What comes next: -5259, -5120, -4983, -4848? -4715 What comes next: 597328, 1194656, 1791982, 2389306, 2986628? 3583948 What is next in -4, 22, 94, 236, 472, 826, 1322, 1984? 2836 What comes next: -442, 1218, 3984, 7856, 12834, 18918? 26108 What is the next term in 158, 119, 86, 59? 38 What is the next term in 2034, 4029, 6016, 7989, 9942, 11869, 13764? 15621 What comes next: -1782, -1730, -1650, -1542, -1406, -1242? -1050 What comes next: -8555, -8527, -8463, -8351, -8179, -7935, -7607, -7183? -6651 What is next in -262662, -262661, -262660, -262659, -262658? -262657 What is the next term in 154, 171, 182, 181, 162? 119 What is next in 66, 105, 120, 111, 78, 21, -60? -165 What is the next term in -213, -6, 201, 408, 615? 822 What is next in -350, -352, -354, -356, -358? -360 What is next in -50467, -100938, -151405, -201868, -252327, -302782? -353233 What is the next term in -34, -316, -792, -1462, -2326? -3384 What is the next term in 556262, 556267, 556266, 556253, 556222, 556167? 556082 What is the next term in 269, 529, 813, 1115, 1429? 1749 What is next in -33849, -33847, -33843, -33837? -33829 What comes next: -1668, -1487, -1182, -747, -176? 537 What is next in -8, 13, 14, -11, -68, -163, -302, -491? -736 What is the next term in 30361, 30311, 30179, 29923, 29501, 28871, 27991? 26819 What is the next term in 356, 380, 402, 422, 440? 456 What is next in 2429, 5187, 7945, 10703, 13461? 16219 What is the next term in 233, 443, 619, 743, 797, 763, 623? 359 What comes next: -4355, -8728, -13083, -17414, -21715, -25980, -30203? -34378 What is the next term in -623, -1099, -1559, -2003, -2431? -2843 What comes next: 180140, 360285, 540428, 720569, 900708, 1080845? 1260980 What comes next: 811, 3400, 7729, 13804, 21631, 31216? 42565 What is next in -22868, -91474, -205810, -365870, -571648, -823138, -1120334? -1463230 What comes next: 127, 122, 117, 112, 107? 102 What is the next term in -75715, -302867, -681453, -1211473, -1892927, -2725815, -3710137? -4845893 What is the next term in 92, 461, 1074, 1931, 3032, 4377, 5966? 7799 What is the next term in -489, -965, -1441, -1917? -2393 What comes next: -3628, -7227, -10790, -14305, -17760, -21143, -24442? -27645 What comes next: -14349, -14311, -14273, -14235? -14197 What is next in 268, 131, -2, -125, -232, -317, -374, -397? -380 What comes next: -126986, -126994, -127006, -127022, -127042, -127066, -127094? -127126 What is the next term in -213, -387, -565, -747, -933? -1123 What comes next: 910, 1820, 2738, 3670, 4622, 5600, 6610? 7658 What is the next term in -143, -364, -645, -980, -1363, -1788, -2249, -2740? -3255 What is the next term in -262, -2352, -6270, -12016, -19590, -28992? -40222 What is the next term in 100, 206, 386, 676, 1112? 1730 What is the next term in 330, 368, 442, 570, 770, 1060? 1458 What is next in -3541, -7053, -10537, -13981, -17373? -20701 What comes next: -149945, -149927, -149909, -149891, -149873? -149855 What comes next: -1331, -1335, -1339? -1343 What comes next: -7229, -14453, -21677, -28901, -36125, -43349? -50573 What is the next term in 2368, 9345, 20966, 37225, 58116, 83633? 113770 What is next in 11901, 11857, 11813, 11769, 11725, 11681? 11637 What comes next: -7933, -7943, -7949, -7951, -7949? -7943 What is the next term in 163109, 163107, 163105, 163103? 163101 What is the next term in 77144, 154292, 231440, 308588, 385736, 462884? 540032 What is the next term in -94, -415, -944, -1681, -2626, -3779? -5140 What is next in -1574, -3105, -4636, -6167, -7698, -9229? -10760 What is the next term in -1495, -5736, -12721, -22450, -34923, -50140, -68101? -88806 What comes next: -213, -385, -663, -1041, -1513, -2073, -2715? -3433 What is the next term in 331, 1363, 3097, 5527, 8647? 12451 What is the next term in -87, -149, -211, -273? -335 What is next in 5061, 5151, 5241, 5331, 5421? 5511 What comes next: 101595, 203198, 304801, 406404, 508007? 609610 What comes next: -5896, -11708, -17546, -23422, -29348, -35336? -41398 What is next in -3600, -3607, -3614? -3621 What is next in 139770, 279586, 419402, 559218? 699034 What is the next term in -17, -107, -301, -629, -1121, -1807, -2717, -3881? -5329 What comes next: -2810, -2812, -2814? -2816 What is next in 171, 293, 597, 1173, 2111, 3501, 5433? 7997 What is the next term in -7102, -13978, -20854? -27730 What is the next term in -6642, -6656, -6684, -6726? -6782 What comes next: -6481, -6533, -6619, -6739, -6893? -7081 What comes next: 69, 273, 609, 1077, 1677, 2409? 3273 What comes next: -3360, -3427, -3498, -3573, -3652, -3735, -3822? -3913 What comes next: -1246, -1113, -884, -553, -114, 439? 1112 What is next in -1136481, -2272964, -3409447, -4545930, -5682413, -6818896? -7955379 What is the next term in 13771, 13801, 13829, 13855? 13879 What comes next: 146, 465, 982, 1685, 2562, 3601? 4790 What is the next term in 422, 394, 366? 338 What comes next: -321126, -321128, -321130, -321132, -321134? -321136 What is the next term in 69130, 69129, 69128, 69127? 69126 What is next in 75359, 150717, 226077, 301439, 376803, 452169, 527537? 602907 What is the next term in -12853, -12873, -12905, -12949? -13005 What comes next: 269787, 539575, 809365, 1079157? 1348951 What comes next: -1677, -3288, -4899? -6510 What comes next: 3248, 6470, 9664, 12830, 15968, 19078? 22160 What is the next term in -7871, -31438, -70713, -125696? -196387 What is the next term in -2323, -2766, -3209, -3652, -4095? -4538 What is the next term in 31385, 62776, 94167, 125558, 156949, 188340? 219731 What comes next: -2978, -3210, -3454, -3716, -4002, -4318, -4670? -5064 What comes next: 525, 582, 627, 654, 657, 630, 567? 462 What comes next: 261, 674, 1243, 1968, 2849? 3886 What comes next: 823, 6631, 22399, 53107, 103735, 179263? 284671 What comes next: 541, 4249, 14315, 33919, 66241, 114461? 181759 What comes next: 21, 71, 149, 249, 365, 491, 621, 749? 869 What is the next term in 189, 1131, 3691, 8679, 16905? 29179 What comes next: 2784, 2840, 2896, 2952? 3008 What is next in 10028, 10020, 9990, 9926, 9816, 9648, 9410, 9090? 8676 What is the next term in -253, -248, -245, -238, -221, -188, -133? -50 What is the next term in 860, 880, 900, 920? 940 What is the next term in -1041, -8068, -27057, -63990, -124849? -215616 What is next in 514, 463, 372, 235, 46? -201 What comes next: -745, -2525, -5491, -9643, -14981? -21505 What is the next term in 252203, 252200, 252199, 252200, 252203, 252208? 252215 What comes next: 1445, 11597, 39153, 92813, 181277, 313245, 497417? 742493 What is the next term in -5590, -22342, -50248, -89296, -139474? -200770 What is next in -125, 139, 403, 667? 931 What comes next: -2123, -1981, -1839, -1697, -1555, -1413? -1271 What is next in 2216, 2181, 2116, 2015, 1872, 1681, 1436, 1131? 760 What is next in -83, -230, -441, -716, -1055? -1458 What is the next term in -2639, -5283, -7927, -10571? -13215 What is next in 43497, 43517, 43543, 43569, 43589? 43597 What is next in -309, -555, -801, -1047, -1293, -1539? -1785 What is the next term in 4116, 4124, 4146, 4188, 4256, 4356? 4494 What is the next term in 45794, 45789, 45784? 45779 What is next in -473, -209, 55, 319, 583, 847? 1111 What comes next: -66770, -66782, -66802, -66830, -66866, -66910? -66962 What comes next: 1425, 1338, 1179, 942, 621, 210, -297, -906? -1623 What is the n
{ "pile_set_name": "DM Mathematics" }
14, -3, -21, 2735 in descending order. 2735, 14, -1, -3, -21 Put -47471275, 0.4, -3 in descending order. 0.4, -3, -47471275 Sort -626/13, 192, -3/10, 2. -626/13, -3/10, 2, 192 Sort 6/5, -43, -0.5, -4308, -1 in descending order. 6/5, -0.5, -1, -43, -4308 Sort -116, 0.3, -6/17, 490, 3 in descending order. 490, 3, 0.3, -6/17, -116 Put 10, -1/32, -962/9 in decreasing order. 10, -1/32, -962/9 Sort -2, 512, -3, 11, 2 in ascending order. -3, -2, 2, 11, 512 Sort -30, -4, 143, -5, 38, 3, 5. -30, -5, -4, 3, 5, 38, 143 Sort 3, -2/3, -0.230471. -2/3, -0.230471, 3 Sort 196, -34, 0.4, 5, 3/4. -34, 0.4, 3/4, 5, 196 Sort 1, 2, -2, -20, -26, 4. -26, -20, -2, 1, 2, 4 Sort -3, 1206, 2487, 3 in decreasing order. 2487, 1206, 3, -3 Sort 44, 6065, -5, 25, -3. -5, -3, 25, 44, 6065 Sort 3, -27/2, -315, 1, 4, -2/21 in descending order. 4, 3, 1, -2/21, -27/2, -315 Sort 8, -0.15, -2/11, -0.06, -31, 4 in ascending order. -31, -2/11, -0.15, -0.06, 4, 8 Sort 4, 31, -3, -24 in decreasing order. 31, 4, -3, -24 Put -207, 10, -5, -348 in increasing order. -348, -207, -5, 10 Put 554, 0.1, -1, -55, 4, -0.3 in ascending order. -55, -1, -0.3, 0.1, 4, 554 Put 21, -0.2, -3, -12928, 1 in descending order. 21, 1, -0.2, -3, -12928 Sort 2062, -13, 16/23 in decreasing order. 2062, 16/23, -13 Sort -11, 1, 2, -67684. -67684, -11, 1, 2 Put -4657, -0.4, -18548 in ascending order. -18548, -4657, -0.4 Put -235954, -0.09, 3, -2/3, 1, -1 in descending order. 3, 1, -0.09, -2/3, -1, -235954 Put 1009, -8, -2, 1, 5, 3 in decreasing order. 1009, 5, 3, 1, -2, -8 Put -1, 5, 117, 6, -160, 4 in ascending order. -160, -1, 4, 5, 6, 117 Sort 1, -20, 427, 5, -2 in increasing order. -20, -2, 1, 5, 427 Put 2, 46, -33, 3, -4, 1563 in decreasing order. 1563, 46, 3, 2, -4, -33 Sort 1, -2, 413233, 0, 4, -5, -4. -5, -4, -2, 0, 1, 4, 413233 Sort 14, 33, 9, -4, -64, 4, -5 in descending order. 33, 14, 9, 4, -4, -5, -64 Sort -0.3, 5, -19351, -3/101 in decreasing order. 5, -3/101, -0.3, -19351 Sort 48, -25908, -1, -2. -25908, -2, -1, 48 Sort -4/7, 0.4, -722, 653, 0.5. -722, -4/7, 0.4, 0.5, 653 Sort 2, 0, -80, -2, -20, 1, 1146 in increasing order. -80, -20, -2, 0, 1, 2, 1146 Sort -185, 0.2, 1.4, -1/3, -36, 5 in ascending order. -185, -36, -1/3, 0.2, 1.4, 5 Put -0.1916, -5, -0.61, -1/8 in ascending order. -5, -0.61, -0.1916, -1/8 Sort 3/7, 21, -1593504 in decreasing order. 21, 3/7, -1593504 Put -1122, -2, 0, -10, -26, -3 in descending order. 0, -2, -3, -10, -26, -1122 Sort -9, 6399, -4976 in decreasing order. 6399, -9, -4976 Put -2, -492, 670, -3 in decreasing order. 670, -2, -3, -492 Sort -0.763409, -0.5, -0.3. -0.763409, -0.5, -0.3 Sort 196, -3, 3, -5, -2, 18, -1 in descending order. 196, 18, 3, -1, -2, -3, -5 Sort 147, 20201, 72. 72, 147, 20201 Put -4, 5715, 8, 7 in ascending order. -4, 7, 8, 5715 Sort -131499, 57, 0.3. -131499, 0.3, 57 Sort 5, 5688, 3, -5 in descending order. 5688, 5, 3, -5 Sort 82, 10, 44, -4, 5, -2, -1. -4, -2, -1, 5, 10, 44, 82 Sort 3, -7368, 0, 4, -3, 5 in descending order. 5, 4, 3, 0, -3, -7368 Put -6, 1275.836, 0.04 in decreasing order. 1275.836, 0.04, -6 Put -4/9, -1, 4, 12, 2/401, 1/2 in increasing order. -1, -4/9, 2/401, 1/2, 4, 12 Sort -2570, -1/13, -0.2, 3/13 in decreasing order. 3/13, -1/13, -0.2, -2570 Sort 50/1617, -1, 4, 0.25 in increasing order. -1, 50/1617, 0.25, 4 Put -1459, 3, 2, -127, 0, 4 in decreasing order. 4, 3, 2, 0, -127, -1459 Sort -23, 19618, 3, -2 in descending order. 19618, 3, -2, -23 Put 133, 1, 14847 in decreasing order. 14847, 133, 1 Put 360, -21, 2, -24, 1 in increasing order. -24, -21, 1, 2, 360 Put -25, 14331, 20 in increasing order. -25, 20, 14331 Put 89637, -4, 3, -2 in decreasing order. 89637, 3, -2, -4 Put 9, 49, 0, -4, -40023 in decreasing order. 49, 9, 0, -4, -40023 Sort -1, -14, -6, 4, 586, -2 in ascending order. -14, -6, -2, -1, 4, 586 Put 0, 13/5, 0.4, -1, 5/3, -0.0416 in ascending order. -1, -0.0416, 0, 0.4, 5/3, 13/5 Sort 16351, 729, 0 in descending order. 16351, 729, 0 Sort -5, -2, 0.1854223 in ascending order. -5, -2, 0.1854223 Put 3, -2, -898, -1, -4, -1556 in descending order. 3, -1, -2, -4, -898, -1556 Sort 4, -3162726, 2. -3162726, 2, 4 Sort 2/9, -72, -0.12, 3506, -2, 5 in decreasing order. 3506, 5, 2/9, -0.12, -2, -72 Sort -3, -14, -94657, -4, 2 in increasing order. -94657, -14, -4, -3, 2 Sort -26, -2/3, -5/2, -3, 2, -4/11 in descending order. 2, -4/11, -2/3, -5/2, -3, -26 Sort 46/5, 0.19113, -27 in descending order. 46/5, 0.19113, -27 Sort -5463, -1/5, 5, 3, -0.3, -2 in ascending order. -5463, -2, -0.3, -1/5, 3, 5 Sort -63, 221, 1783 in increasing order. -63, 221, 1783 Sort 0.5, -5.36, -9351 in decreasing order. 0.5, -5.36, -9351 Put -5, 0, -2124, 3, -2, -226 in increasing order. -2124, -226, -5, -2, 0, 3 Put -2993, 3, 0, -3, 5, -2, 97 in ascending order. -2993, -3, -2, 0, 3, 5, 97 Sort 2, -2/3, -3/4, 59462 in increasing order. -3/4, -2/3, 2, 59462 Sort 12, 2/5, -98, -6, -2, 1/13 in increasing order. -98, -6, -2, 1/13, 2/5, 12 Sort 0.1, -4/23, -362003 in descending order. 0.1, -4/23, -362003 Put 0.37, 2/9, 465.9, -2 in increasing order. -2, 2/9, 0.37, 465.9 Sort 120, 5, 4, -236, -6. -236, -6, 4, 5, 120 Put 2/3, -9/92, 0.04, -286 in descending order. 2/3, 0.04, -9/92, -286 Sort 1/4, -93, -3/14, 808. -93, -3/14, 1/4, 808 Put -5, 8378, 0, 2, 18 in ascending order. -5, 0, 2, 18, 8378 Sort -0.1, -1/3, -1.480739 in ascending order. -1.480739, -1/3, -0.1 Put -0.0976, -6/205, -0.2 in decreasing order. -6/205, -0.0976, -0.2 Put -1, -2/3, 0.4, 2.23, 32734 in descending order. 32734, 2.23, 0.4, -2/3, -1 Sort -30, -5, 3, 2, 10. -30, -5, 2, 3, 10 Sort 3, -877, 0, 10, 7 in decreasing order. 10, 7, 3, 0, -877 Put 3, 159, 4, -4, 4143 in descending order. 4143, 159, 4, 3, -4 Sort 1/4, 3, -505, 166 in decreasing order. 166, 3, 1/4, -505 Sort 9, 0, -1, 3, -18583, -2 in descending order. 9, 3, 0, -1, -2, -18583 Sort -3, 5373, 1 in decreasing order. 5373, 1, -3 Sort -0.4, 47, 3/7, 1, 114, -0.3, 4 in decreasing order. 114, 47, 4, 1, 3/7, -0.3, -0.4 Sort -118, 11, -3, 2, -6, 4, -1. -118, -6, -3, -1, 2, 4, 11 Put 4, -5, -1, -38, 2, 5, -128 in increasing order. -128, -38, -5, -1, 2, 4, 5 Put 80, 1/3, 5.5, -1/4, -1, 0, 11 in increasing order. -1, -1/4, 0, 1/3, 5.5, 11, 80 Put 2/19767, 0.1, 3/43 in descending order. 0.1, 3/43, 2/19767 Put 10, -3, -6, -28, -39 in decreasing order. 10, -3, -6, -28, -39 Put 518, 2/11, -2/3, 29/6, 4/3, 3 in increasing order. -2/3, 2/11, 4/3, 3, 29/6, 518 Sort -150, 107, -60, -4, 4, 2, 5 in increasing order. -150, -60, -4, 2, 4, 5, 107 Sort 2, 1, 1878, 5, 0, -1982, -13 in descending order. 1878, 5, 2, 1, 0, -13, -1982 Sort -1/15, 1, 55166 in decreasing order. 55166, 1, -1/15 Sort -3, 3, 0, -1875, 202, 6 in decreasing order. 202, 6, 3, 0, -3, -1875 Sort 23732, -2, -798 in ascending order. -798, -2, 23732 Put -67, -2, 2089, -892 in decreasing order. 2089, -2, -67, -892 Put -1643, 15, 1, 5 in ascending order. -1643, 1, 5, 15 Sort 142, 252, 4, 2, -11, 8. -11, 2, 4, 8, 142, 252 Sort 175, 13179, -5 in descending order. 13179, 175, -5 Put -2, -112, -670543 in decreasing order. -2, -112, -670543 Sort 16, 12/2407, -2, -0.2, -0.9. -2, -0.9, -0.2, 12/2407, 16 Put -163, -265, -2 in descending order. -2, -163, -265 Put -2793, 5, 14064 in ascending order. -2793, 5, 14064 Sort -1, 67, 2, -169/3, 2/15 in descending order. 67, 2, 2/15, -1, -169/3 Put 15, -1, -140, 18, 5, -2, -6 in decreasing order. 18, 15, 5, -1, -2, -6, -140 Put 0, 4, 4810, -5, -3, -4 in descending order. 4810, 4, 0, -3, -4, -5 Put -17, -30, 0.4, 1/4, -0.641 in decreasing order. 0.4, 1/4, -0.641, -17, -30 Sort -0.4, 0.187, 0.2, -0.0018 in ascending order. -0.4, -0.0018, 0.187, 0.2 Put -15, -8/18085, -0.09 in descending order. -8/18085, -0.09, -15 Sort 195, 4, -477, -8. -477, -8, 4, 195 Sort -0.16, -1/3, 1, -16/81 in decreasing order. 1, -0.16, -16/81, -1/3 Sort 10912, -25621, 3 in increasing order. -25621, 3, 10912 Sort -10299, 0.5, -2.2, -20, 1 in descending order. 1, 0.5, -2.2, -20, -10299 Sort 91998, -1, 16. -1, 16, 91998 Sort -4.9864, -1/17, 1/4, -3/10 in descending order. 1/4, -1/17, -3/10, -4.9864 Sort -39/2, 2427, 0.1 in increasing order. -39/2, 0.1, 2427 Sort 5, 61, -2/7, -72523, 1, -0.3 in decreasing order. 61, 5, 1, -2/7, -0.3, -72523 Put -4, -70, -16, 3, -2, 6 in ascending order
{ "pile_set_name": "DM Mathematics" }
v(x)). 8*x**2 - 26 Let x(r) be the first derivative of 2*r**3/3 + 1. Let t = 246 - 244. Let y(j) = 36*j**t + 14*j - 12*j**2 - 14*j. Determine y(x(u)). 96*u**4 Let y(r) = r. Let c(x) = -6*x + 7. Let k(i) = -2*i + 2. Let j(o) = -o - 1. Let q be j(1). Let t(m) = q*c(m) + 7*k(m). Calculate y(t(f)). -2*f Let b(a) be the first derivative of 3*a**2 - 11. Let y(w) = 20*w. Calculate y(b(v)). 120*v Let a(n) = 2*n**2. Let q(i) be the second derivative of -2*i**4/3 + i**2 + 70*i. Give q(a(w)). -32*w**4 + 2 Let h(y) = 13*y**2 + 2. Let r(z) = -75*z**2 - 145*z. Calculate r(h(f)). -12675*f**4 - 5785*f**2 - 590 Let p(x) = -6*x. Let b(i) = -2*i**2 - 8*i + 4. Let h be b(-7). Let t be h/(-6) - 18/(-27). Let k(v) = -t + 7 + v. What is p(k(n))? -6*n Let u(s) = -26*s. Let w(v) = -1875*v**2. Give u(w(c)). 48750*c**2 Let x(o) be the first derivative of o**5/10 - o**3/3 + 1. Let n(g) be the third derivative of x(g). Let l(y) = 19*y + 8*y - 29*y. Calculate n(l(s)). -24*s Let c(a) = -2977258*a. Let x(k) = k**2. Give x(c(n)). 8864065198564*n**2 Let q(p) = -1612*p. Let b(a) = -2*a. Give b(q(f)). 3224*f Let q(v) = -866*v**2 - 4*v. Let n(h) = -h. Give n(q(p)). 866*p**2 + 4*p Let t(o) = -13*o**2 + 6*o - 6. Let a(j) = 259*j**2 - 119*j + 119. Let i(k) = 6*a(k) + 119*t(k). Let f(x) = 3*x. What is i(f(y))? 63*y**2 Let k(w) = -2*w**2. Let j(y) = -3444*y. Give j(k(x)). 6888*x**2 Let p(i) = 940*i**2 - 32*i - 16. Let o(u) = -188*u**2 + 6*u + 3. Let t(x) = 16*o(x) + 3*p(x). Let n(q) = q. Give n(t(l)). -188*l**2 Let a(b) = 22*b**2 - 176*b - 179*b + 534*b - 179*b. Let h(s) = 8*s**2. Give h(a(l)). 3872*l**4 Let t(a) = 38485*a**2. Let f(j) = -j. What is f(t(o))? -38485*o**2 Let w(i) = -12*i. Let q(a) be the third derivative of -1/8*a**4 + 0*a + 0 + 12*a**2 + 0*a**3. Determine q(w(g)). 36*g Let q(j) = 3*j**2 - j - 1. Let h(z) = -5*z**2 + 2*z + 2. Let n(r) = h(r) + 2*q(r). Let w(t) = -58*t. Give n(w(i)). 3364*i**2 Let i(o) = -487*o**2 - 2*o - 10. Let w(n) = -n**2. Give i(w(j)). -487*j**4 + 2*j**2 - 10 Let b(x) = -57657*x**2. Let k(l) = -l + 1. Calculate b(k(t)). -57657*t**2 + 115314*t - 57657 Let l(u) = -48*u**2 - 1910. Let s(c) = -c. Determine s(l(y)). 48*y**2 + 1910 Let n(w) be the third derivative of -7*w**4/24 - 3*w**3/2 + 147*w**2. Let b(a) = 4*a. Calculate b(n(x)). -28*x - 36 Let m(s) = 18*s**2 + 2*s. Let k(o) = -5*o - 80. Let a(r) = 15*r + 220. Let n(z) = -4*a(z) - 11*k(z). Calculate m(n(f)). 450*f**2 - 10*f Let o(w) = -6*w + 36. Let d be o(6). Let g(f) = -3*f + d*f + 5*f + f. Let y(a) = 5*a. What is g(y(j))? 15*j Let r(d) = 157739*d. Let f(w) = 13*w. Give f(r(b)). 2050607*b Let l(m) be the second derivative of -7*m**3/3 - 2*m. Let u(r) = r + 4. Let y(s) = -2*s - 5. Let d(i) = 5*u(i) + 4*y(i). Calculate d(l(o)). 42*o Let k(z) = 2*z + 196. Let j(s) = 17*s**2. What is j(k(b))? 68*b**2 + 13328*b + 653072 Let p(g) be the first derivative of g**3/3 - g**2 - 2*g - 12. Let s(z) = 4 - 4*z**2 + 5*z + 2*z + 3. Let d(w) = -7*p(w) - 2*s(w). Let m(v) = -v. Give d(m(x)). x**2 Let q(f) = -2*f. Let l(g) be the first derivative of 4*g - 5 + 1/3*g**3 + 0*g**2. Let t(y) be the first derivative of l(y). Determine t(q(a)). -4*a Let i be (15 - 1)/(-10 + 9). Let r(h) = h + 16. Let y be r(i). Let w(f) = 0*f + f - y*f - 2*f. Let s(v) = v. Calculate s(w(x)). -3*x Let c(y) = 16*y. Let z(t) = -25*t**2 - 18*t - 10. Calculate z(c(h)). -6400*h**2 - 288*h - 10 Let t(x) = -11*x + 1. Let w(o) = 1243*o**2. Determine w(t(v)). 150403*v**2 - 27346*v + 1243 Let i be (1/3)/(4/24). Suppose 2*j + 72 = 4*t - j, -2*t - 5*j + 62 = 0. Let h(m) = -9*m**2 + t*m**i - 18*m**2. Let y(g) = -2*g. Give y(h(f)). 12*f**2 Let n(i) = -18974*i. Let o(p) = 4*p. What is n(o(r))? -75896*r Let x(g) = -7*g**2 + 25*g**2 - 9*g**2 - 11*g**2. Let i(m) = -m. Let f be (-9)/(-6)*(-12)/(-9). Let v(h) = -12*h. Let w(z) = f*i(z) - v(z). Give x(w(j)). -200*j**2 Let q(z) be the first derivative of -3*z**2 - 1. Let f be -4 - 4/6*-15. Let c(x) = f*x + 0 + 0 - 4*x. Give c(q(g)). -12*g Let m(c) = -9*c**2 - 2689*c. Let t(x) = -x. What is m(t(r))? -9*r**2 + 2689*r Let h(j) = -84*j. Let d(x) be the first derivative of -5*x**2/2 - 26. Let s(l) = -35*d(l) + 2*h(l). Let g(m) = m. Calculate g(s(a)). 7*a Let c(u) = 592*u. Let h(l) = 2587*l**2. What is h(c(f))? 906650368*f**2 Let v(c) = -c**2. Let g(n) = 7710*n + 19. Give g(v(f)). -7710*f**2 + 19 Let u(y) = 5*y**2. Let r(h) be the second derivative of -h**4/3 - h - 32. Determine r(u(n)). -100*n**4 Let y(c) = -6*c + 1. Let l(h) = -705*h. Calculate y(l(k)). 4230*k + 1 Let s(z) = -2852*z**2. Let w(b) = 6*b. What is w(s(r))? -17112*r**2 Let g(f) = -f**2. Let v(z) = -z**2. Let w(d) = -3*d**3 - 5*d**2 - 9. Let h(n) = -5*v(n) + w(n). Let a(i) be the first derivative of h(i). Determine a(g(y)). -9*y**4 Let p(t) = -14*t - 19. Let o(u) = 2*u**2 + 1536. Calculate p(o(j)). -28*j**2 - 21523 Let s(i) = 12*i - 5. Let p(m) = 60*m - 24. Let u(q) = 5*p(q) - 24*s(q). Let z(r) be the first derivative of -r**3 + 7. Give u(z(k)). -36*k**2 Let y(f) = 2*f. Let q(u) = 404652*u. Give q(y(i)). 809304*i Let x(q) = 35*q - 63*q + 27*q. Let b(g) = -33*g + 4. Determine b(x(z)). 33*z + 4 Let w(s) = -14*s - 7. Let i(h) = 13*h + 6. Let y(n) = 7*i(n) + 6*w(n). Let q(d) = d. Calculate y(q(k)). 7*k Let t(j) = j + 4. Suppose -4*q = -s - 4*s + 35, 0 = 2*q - 2*s + 16. Let k(a) = 5. Let c(n) = q*t(n) + 4*k(n). Let w(b) = 2*b**2. Calculate c(w(z)). -10*z**2 Let p(d) = 6*d**2. Let w(z) be the third derivative of 0*z**3 + 1/24*z**4 + 0 + z**2 + 0*z. What is p(w(k))? 6*k**2 Let q(j) = 729*j. Let n(v) = -v + 5. Calculate n(q(p)). -729*p + 5 Let x(i) = -2*i. Suppose -2*t = -2*s - 4, -t + s = -5*t + 28. Let n be 2/t + 200/30. Let d(l) = -2*l + l - n*l + 14*l. Give d(x(b)). -12*b Let z(k) = -3*k**2 - 5. Let b(v) = -2*v**2 - 3. Let x(m) = -5*b(m) + 3*z(m). Let c(q) be the first derivative of 80*q**3/3 + 406. What is x(c(o))? 6400*o**4 Suppose -4*h = 3*b - h - 6, 5*h = 0. Let v(z) = 4*z - 4*z**b - 9*z + 5*z. Let r(o) = 13*o**2. Calculate v(r(n)). -676*n**4 Let h(o) be the third derivative of -7*o**5/60 + 64*o**2. Let c(x) = 2*x**2. What is c(h(z))? 98*z**4 Let s(y) = -y - 8. Let r(z) = -z - 12. Let x(q) = -2*r(q) + 3*s(q). Let w(m) = -m**2 - 79. Give x(w(k)). k**2 + 79 Let p = -54 - -68. Let l(s) = -7 - 2*s - 7 + p. Let v(y) = -15*y. Give l(v(o)). 30*o Let g(a) = -1 + 1 + 23*a**2. Let f(w) = 401*w - 751*w + 351*w. Calculate g(f(z)). 23*z**2 Let t(k) = -3*k**2 + 8. Let v(d) = 6*d**2 - 20. Let q(x) = -5*t(x) - 2*v(x). Let r(w) = -w**2. Give r(q(z)). -9*z**4 Suppose -y + 5*y = 20. Suppose -6*j = -y*j. Let s(x) = j*x - 2*x + 5*x + 8*x. Let q(p) = -p. Determine s(q(m)). -11*m Let z(d) = -8*d**2 - 24*d + 2. Let g be z(-3). Let i(f) be the second derivative of 0 + 0*f**3 + 0*f**g - f + 1/12*f**4. Let n(h) = 8*h**2. Determine n(i(u)). 8*u**4 Let d(p) = 8499*p. Let s(c) = -10*c**2. Determine s(d(o)). -722330010*o**2 Let m(g) = -3*g**2 + g. Let t(j) = 186*j + 192*j - 563*j + 184*j. Give m(t(u)). -3*u**2 - u Let l(n) be the second derivative of -n**7/2520 - 4*n**4/3 - 18*n. Let f(b) be the third derivative of l(b). Let t(y) = -8*y. What is f(t(d))? -64*d**2 Let t(y) = -215*y. Let z(v) = 596*v**2. What is t(z(a))? -128140*a**2 Let s(w) = 28*w + 3. Let n(v) = -2347 + 2347 - 2*v. Determine n(s(f)). -56*f - 6 Let c(w) = 2*w. Let v(s) = -2*s**2. Let q(l) = -8*l**2. Let z(x) = x**3 - 9*x**2 + 10*x + 6. Let t be z(8). Let i(b) = t*v(b) - 6*q(b). Calculate i(c(m)). 16*m**2 Let j(x) = -5*x. Let t = -884 + 886. Let q(r) be the second derivative of -1/6*r**3 + 0*r**t - 8*r + 0. Determine j(q(f)). 5*f Let c(v) = 9*v**2. Let x(m) = -4*m**2 - 2*m + 10*m - m**2 - 5 + 4*m**2. Let z be x(7). Let f(n) = -2*n**2 + n**z - n**2. Calculate f(c(p)). -162*p**4 Let t(i) = 140*i**2 + 2. Let j(f) = -3009*f**2. Calculate t(j(h)). 1267571340*h**4 + 2 Let g(x) be the first derivative of -14*x**2 - 2*x - 868. Let j(z) be the third derivative of z**5/60 - z**2. Give g(j(i)). -28*i**2 - 2 Let z(y) = -2*y. Let f(a) = 17*a - 3. Let k be 3*-3*1/3. Let q(m) = -52*m + 8. Let o(p) = k*q(p) - 8*f(p). Determine o(z(c)). -40*c Let c(o) = -3*o**2. Let v(y) be the first derivative of 79*y**3/3 + 44. Give v(c(q)). 711*q**4 Let y(v) = -2*v. Let m(q) = q + 9. Let c be m(-10). Let f be y(c). Let s(o) = 3*o**2 + 12*o**f + o**
{ "pile_set_name": "DM Mathematics" }
n. 0 Solve 3*g = -3*d - 9, -g + 3*g = -4*d - 12 for d. -3 Solve 4*f - 5*s - 3 = 0, -5*f + 27 = -9*f - 5*s for f. -3 Solve -1 + 25 = 4*p - x, p - 5*x = 25 for p. 5 Solve -2*x - 5*y = 3, -2*y - 3 = -1 for x. 1 Solve k = -3*n - 2, 2*k = 3*n - 5*n - 4 for k. -2 Solve 0 = 5*p - 5*v + 25, 77 - 67 = 5*p + 2*v for p. 0 Solve q - 4 = 2*z + 3, 2*z = -2*q - 16 for q. -3 Solve 24*u = 28*u - 5*h + 25, -2*h + 37 = -7*u for u. -5 Solve 2*u + 5 = -q, 27*q - 4*u = 30*q + 9 for q. 1 Solve 4*r - i = 9, r - i + 0*i = 0 for r. 3 Solve -29*f = -30*f - u - 3, u = 5*f + 15 for f. -3 Solve 3*u + 16 = -j, 0 = -u - 3*j - 143 + 135 for u. -5 Solve 3*k - 5*m - 13 = 0, k - m - 6 = -3*k for k. 1 Solve -8*a + 12*a + 5*d + 7 = 0, a = -3*d for a. -3 Solve 0 = -4*y - 5*i + 5, 5*i + 2 = -y - 8 for y. 5 Solve 9*b - 5*g - 3 = 13*b, -2*b = g - 3 for b. 3 Solve 3 = -5*n + 8, 5*n - 5 = -f for f. 0 Solve c - 2 = -3*p, -2*c - p + 0 - 6 = 0 for c. -4 Solve 5*j + 36 = j - 4*p, 2*j + 26 = -4*p for j. -5 Solve 0 = 3*t - 2*u - 1, 3*t - u + 38 = 37 for t. -1 Solve -g - 3*k = 7, -5*g - 63 = 4*k - 72 for g. 5 Solve b = 3*w, 13*w - 2*b + 5 = 12*w for w. 1 Solve -4*m + 8 = -2*f - 4, -m + 3 = 2*f for f. 0 Solve 5*u + 6*y = 10*y - 5, u - 2*y + 7 = 0 for u. 3 Solve -7*i - 3*o - 14 = -8*i, o = i - 8 for i. 5 Solve -62*f + 59*f + 5*x - 15 = 0, 0 = 2*f - x + 3 for f. 0 Solve 0 = 26*a - 25*a - s + 5, s - 5 = 4*a for a. 0 Solve -5*r = 2*x + 39 - 16, 3*x = 3*r + 18 for x. 1 Solve -2*a + 2 = 2*c, -c + 0 = 4*a - 7 for c. -1 Solve 0 = 3*j - 2*b + 1, 4*j + 3*b - 6 = 2*b for j. 1 Solve -5*v = -2*i + 7*i + 20, 5*v = 2*i + 1 for i. -3 Solve -3*t + 3*f - 2*f + 7 = 0, -5*f = t + 19 for t. 1 Solve 5*x + 2*j - 31 = 0, -3*j = -147*x + 145*x + 20 for x. 7 Solve w = -4*m, -5*w - 6 - 15 = -m for w. -4 Solve -5 = 5*f, 0 = 9*b - 4*f + 2*f + 25 for b. -3 Solve 0 = -5*t + 2*c + 19, -3*t - 8*c + 5*c = -24 for t. 5 Solve 4*o + 5 = -2*g - 3*g, -o - 2*g - 5 = 0 for o. 5 Solve -5*y = 3*k + k + 1, 5*y - 19 = k for y. 3 Solve 0 = 4*y - 8, 0*x + 5*x + 2*y = 29 for x. 5 Solve 3*f + 5*l + 5 = 0, -7*l + 9*l + 2 = 0 for f. 0 Solve -3*l + 12*h - 15*h = 0, 0 = 2*l - 2*h - 12 for l. 3 Solve -z + 2*z + 3*x = 7, -2*z = -2*x + 18 for z. -5 Solve -4*g + 24 = 0, -4*g + 17 = 5*w - 22 for w. 3 Solve -2*r + 6 = 3*i, 3*i + 6 - 33 = 5*r for r. -3 Solve -3*v - 5*z - 30 = -8*v, -5*v + 16 = 2*z for v. 4 Solve -f = -3*l + 10, -5*f = -4*f - 4*l + 13 for f. -1 Solve 3*g + 5*x = 7*x - 9, 4*x + 2 = 2*g for g. -5 Solve -16 = -4*s, -23 = 2*g - g - 5*s for g. -3 Solve 4*g = 5*h - 7, -5*h + 17 - 2 = 0 for g. 2 Solve 5*a + 3 = -3*x, 4*x = a - 3*a + 10 for x. 4 Solve -5*g + 4*t - 40 = -18, -g = -2*t + 8 for g. -2 Solve t - 7 = -4*l, -3*t = -3*l + 13 - 4 for l. 2 Solve 5*b + 29 = -6*r + 8*r, 2*r - 3*b = 19 for r. 2 Solve 2*r - 4 = 0, -3*r + 5 = y + 2*r for y. -5 Solve 2 = 4*u + 22, 0 = 3*p - 4*u - 5 for p. -5 Solve 5*g + 3*v = 19, 2*v - 6*v = -3*g + 23 for g. 5 Solve 5*w = -5*u + 35, 4*u - 9 = -w + 13 for w. 2 Solve 2*k + 14 - 4 = 4*j, -5*k + 10 = -3*j for k. 5 Solve 0 = -j - 2*v + 54 - 47, j = -v + 4 for j. 1 Solve -5*x + 25 = -y, 0 = 4*x - 5*y + y - 20 for x. 5 Solve 2*b + 0*b + 8 = -5*g, 4*g - 2*b + 10 = 0 for g. -2 Solve 4*r + 24 = -3*l + 2, l = 3*r + 10 for r. -4 Solve -4*x - u - 23 = 0, 0 = 3*x + 5*u + 45 - 15 for x. -5 Solve 0 = -5*l - 8*p + 4*p - 17, 0 = 4*l - p + 1 for l. -1 Solve -3*u = -k + 2 + 15, 5*u + k = -23 for u. -5 Solve 9*c = -2*a + 13*c - 22, -c = -4*a - 16 for a. -3 Solve h = -c - 2*h + 13, -2*h + 8 = 0 for c. 1 Solve 0 = -3*i - z + 8, -12*i - 5*z = -11*i + 16 for i. 4 Solve 9*v - 5*v + 16 = -4*y, 0 = 4*v - 3*y - 5 for v. -1 Solve 4*i = 3*v + 2*v + 20, 3*v + 12 = 0 for i. 0 Solve 14 + 1 = 5*w - 3*y, 6 = 2*w + 2*y for w. 3 Solve 3*r - 5*a = 25, 30*r + 5*a = 28*r - 25 for r. 0 Solve 4*c - 28 = 2*m, -3*m + 2*c - 36 = -14 for m. -4 Solve 4*t + 29 = 9*t - p, 2*t - 18 = 2*p for t. 5 Solve -2*v + 41*i - 38*i + 1 = 0, 4*v = 4*i + 8 for v. 5 Solve -32 = -4*g - 3*p, -3*g + 139*p - 135*p - 1 = 0 for g. 5 Solve -5*w = -4*j - 6, w = 2*w - 2*j for w. 2 Solve 0 = -3*d + i - 3*i + 5, -i = 5*d + 1 for d. -1 Solve -2*k + 7 = 3*c, -38 = -4*k + 4*c - 14 for k. 5 Solve 3*x = -4*y + 4 + 1, 0 = -3*x + 2*y - 25 for x. -5 Solve 3*w + 5*m = -w - 41, -4*m = -5*w for w. -4 Solve -13 = f - 3*v - 10, -3*v = 0 for f. -3 Solve 5*r = -4*o - 4, 5*o - 2248 = -4*r - 2253 for o. -1 Solve -2*l + q = -1, 2*l + 10 = l + 4*q for l. 2 Solve o + 3*o + 29 = -5*k, -5*k - 20 = -5*o for k. -5 Solve -3*z = 5*b + z, 0 = -3*z - 15 for b. 4 Solve -5*f - 10 = 5*c, 3*c - 11 + 8 = 0 for f. -3 Solve -5*j = 10, -2*h - 2*j = -7*j - 10 for h. 0 Solve -d - 5*f = 14, 0 = 3*d - 19*f + 23*f + 9 for d. 1 Solve -2*s + 3*v = -2, 0 = -2*s - v + 3*v + 4 for s. 4 Solve z + g = 0, g + 3*g = 4*z - 8 for z. 1 Solve 2*i + 5*l - 4 = 3, -5*l + 27 = -3*i for i. -4 Solve -5*l + 4*c = -23, -c = 2*l - 3*l + 5 for l. 3 Solve 3*d + 5*c = -20, -3*c + 4 = 5*d + 32 for d. -5 Solve -3*x + 13 = q, -8*x + 5*q = -6*x + 14 for x. 3 Solve 4*f + 3*l - 29 = 0, 7*l = -3*f + 12*l for f. 5 Solve f + 13 = -3*w, 2*w + 2*f + 6 = w for w. -4 Solve 3*b - 2 = -4*w, w + b - 267 + 266 = 0 for w. -1 Solve i - 5*h + 8 = 0, -2*h + 7*h + 7 = -4*i for i. -3 Solve 7*x - 3*x = a + 17, x - 5*a = 9 for x. 4 Solve s + 14 = 13, 2*x - 1 = s for x. 0 Solve n - x = -1 + 4, 0 = 4*n - x - 12 for n. 3 Solve -3*x - 26 = -4*h - 1, -4*x - 3*h = 0 for x. -3 Solve -2*h + 2*j = 6, -5*h + 0*h - j = 9 for h. -2 Solve -6*y + 3*y + 2 = 5*o, -9 = -4*o + 5*y for o. 1 Solve -4*h - h + 3*p - 22 = 0, -5*h - 2*p = 27 for h. -5 Solve -k + 2*y = -11, -31 = -3*k - 16*y + 21*y for k. 7 Solve -2*k + 4*h - 2 = 0, -h - h - 9 = k for k. -5 Solve -2 = -3*x + 4*h, -50*h + 2 = -5*x - 46*h for x. -2 Solve -2*g - 8 = -2*k, 2*g + 0*k = 5*k - 8 for g. -4 Solve 4*a + 32 = q + 14, 3*q + 3*a = -21 for q. -2 Solve -5*k + 19 = -3*c, k + 4*k + c = 27 for k. 5 Solve -3*z - 4*s + 15 = 0, -s - 4*s - 20 = -4*z for z. 5 Solve 2*t = 4, -3*s + 3 - 8 = -4*t for s. 1 Solve -4*a + 2*a - 2*j + 2 = 0, 5*j = -3*a - 3 for a. 4 Solve 14*t - 9*t + 39 = -3*n, 0 = -3*t - 18 for n. -3 Solve o + 1 = f - o, -8 = 4*o for f. -3 Solve -3*y = 0, -r - 3*y = 3*r - 20 for r. 5 Solve 4*o = -5*z + 2, -187*z + 190*z - 3*o = -15 for z. -2 Solve 0*a = -3*i - 4*a - 26, -3*i + 4*a + 14 = 0 for i. -2 Solve 5*h + 28 = d, -13 = 4*h + 7 for d. 3 Solve -4*w - 16 = 5*k - 0, 0 = -4*k + 3*w + 12 for k. 0 Solve -r - 2*z = -0*r - 5, 5*z = r + 9 for r. 1 Solve -m = 0, 4*k - 11 - 1 = -m for k. 3 Solve b - 6 = -3*c - 18, -3*c - 3 = 4*b for b. 3 Solve 2*f + 0*f = -g + 9, -2*f + 6 = 0 for g. 3 Solve 7*t + 9 = 2*t + 3*w, 5*t + 11 = 2*w for t. -3 Solve -5 = -3*n + q, 5*q = -2*n - 16 + 59 for n. 4 Solve 5*w = 2*d - 1, -7*d + 3*w = -2*d - 12 for d. 3 Solve 17 = -5*v + 6*v + 5*x, 3*v = 4*x - 6 for v. 2 Solve -189*g + 4*q + 26 = -187*g, -2*g + 3*q + 21 = 0 for g. 3 Solve -4*z = -3*a + 6, 5*z + 19 = -6*a + 4*a for z. -3 Solve 4*z = -5*m - 0*z + 3, -2*z + 6 = -2*m for m. -1 Solve 0 = -18*h + 13*h + 2*i + 16, 3*i + 14 = 5*h for h. 4 Solve -3 = -h, -11 = -3*p + 2*h - 5 for p. 4 Solve -3*y + 9 = 5*k, 5*k + y = -0*y + 3 for k. 0 Solve -27 + 11 = -4*r - u, 3*r - 3*u - 12 = 0 for r. 4 Solve 5 = -3*r - 2*r, 5*c - 4*r - 9 = 0 for c. 1 Solve -2*z - 4 = -4*n, -4*z + 5 - 2 = 3*n for n. 1 Solve g = -x, 711*x - 714*x = -g - 12 for x. 3 Solve -3*y = 2*y + 3*s + 11, -5*y + 4*s = 32 for y. -4 Solve -5*k - 3*y + 4 = 0, 0*k + k + 4*y = 11 for k. -1 Solve -3*j - 1 = -v + 7, -5*j + 2*v - 14 = 0 for j. -2 Solve -4 = -2*w + 2*c, 5*c + 10 = 4*w - 0*w for w. 0 Solve -3*l + 9 = 0, 0 = -3*i - 0*i - 5*l + 27 for i. 4 Solve 3*h - 4*d = 38, 0 = 6*h - 4*h - 2*d - 22 for h. 6 Solve 5*d + 6 = -2*y + 1, -4 = -y + 4*d for y. 0 Solve -5*l = 25, 2*l + 12 = -4*u - 2 for u. -1 Solve -5*i = 2*c - 11, 4*c = i - 6 - 5 for c. -2 Solve 0 = -2*f - 2*q - 10, -5*f + 2*q = -0*q + 11 for f. -3 Solve 0 = -38*j + 40*j + 4*i - 24, 0 = 3*i - 15 for j. 2 Solve 0 = -5*f - 7*m + 43, -9*m + 1 = -5*f - 5*m for f. 3 Solve 5*d = -2*c - 3, 3*d + 5 = -0*d + 2*c for d. -1 Solve -5*k + 3*x - 8*x = -5, -k + 1 = -4*x for k. 1 Solve 2*o + 6*r + 149 = 115, -4*o + 4*r = -12 for o. -2 Solve k = 5*i - i + 12, 2*i + 12 = 2*k for i. -2 Solve o + o = s - 12, 5*s - 32 = 3*o for s. 4 Solve 0 = 4*m - 4*q + 13 - 5, 5*m =
{ "pile_set_name": "DM Mathematics" }
h(l) = 13*l**3. Let c be h(1). Suppose -c = -d*o + 12. What are the prime factors of o? 5 Suppose -2*k + 0*k - 13 = 5*g, 5*k + 2*g = -1. Let c be (28/(-7))/(k/(-8)). Suppose -2*j - 2*j + a = -26, -5*j = -a - c. List the prime factors of j. 2, 3 Let n be (-40)/18 + 2/9. What are the prime factors of -2 + 5 - (-2 - n)? 3 Suppose -4*i + 46 = -3*h - 187, -62 = -i - 3*h. What are the prime factors of i? 59 Let k = 12 - 7. List the prime factors of k. 5 Let u(s) = 78*s + 1. Let p be u(3). Suppose k + p = 6*k. Suppose 3*y - 4*l - k = 5, -5*y + 5*l + 80 = 0. List the prime factors of y. 2, 3 Let j(p) = 15*p + 2. Let x be j(4). Suppose 2*f = 4*k + 70, -2*f - 7 = -k - x. Let z = 47 - f. What are the prime factors of z? 2, 11 Let z(i) be the first derivative of 3*i**2/2 + 6*i + 1. Let y be z(7). Suppose -p + y = -4*t, -2*p + t = -t - 30. What are the prime factors of p? 11 Let u = -9 - -12. Suppose -4*i + 78 = u*d, -2*d - 3*d - 8 = -i. What are the prime factors of i? 2, 3 Let s(c) = -19*c - 13. List the prime factors of s(-8). 139 Let c = 7 - 0. Suppose -c*f + 30 = -4*f. List the prime factors of f. 2, 5 Suppose -5*c - 220 = -10*c. List the prime factors of c. 2, 11 Let z = -30 + 52. Let t = z + -11. Suppose -4*y + 0*h = 2*h - 44, 2*h = y - t. What are the prime factors of y? 11 Let a be (3 - 6) + (1 - -8). Suppose b + 27 = 2*l + a*b, -5*l + 3*b = -21. List the prime factors of l. 2, 3 Let k be (-6)/(((-42)/81)/7). Let u = k + -37. List the prime factors of u. 2, 11 List the prime factors of (3 - -1)*45/20. 3 Suppose 0 = -5*t - 38 + 8. Let u(j) = -j + 5. What are the prime factors of u(t)? 11 Let z(v) = -v**2 - 8*v - 4. Let i be z(-8). Let w = i + 14. List the prime factors of w. 2, 5 Let c(z) = -47*z - 24. What are the prime factors of c(-6)? 2, 3, 43 Let l = 138 + 6. What are the prime factors of l? 2, 3 Let l = 6 - 13. What are the prime factors of (l + -1)*(-7)/2? 2, 7 Let x = -232 - -503. What are the prime factors of x? 271 Suppose -2*b - 102 = -3*b - s, b - 3*s - 86 = 0. What are the prime factors of b? 2, 7 Suppose 3*t = 2*t + 53. Let m = -75 + t. Let g = m - -31. What are the prime factors of g? 3 Let p(g) = -g + 35. What are the prime factors of p(12)? 23 Let v = -7 - -6. Let x(k) = -10*k**3 + k**2 - 1. List the prime factors of x(v). 2, 5 Let c be 14/4*2*2. Let n = -34 - -35. Let f = c + n. What are the prime factors of f? 3, 5 What are the prime factors of (-8)/((-16)/(-4)) - -27? 5 Suppose 4*t = 5*b + 27, -6*t + t + 3*b = -37. Let p(l) = 4*l**2 + 0*l**2 - 3*l**2 + 11 - 8*l. What are the prime factors of p(t)? 11 List the prime factors of (-8)/(-3)*(-2448)/(-64). 2, 3, 17 Let k be (3 - 4)*1 - -5. Suppose -2*z + 125 = 5*p - k*z, 3*p - 54 = -3*z. What are the prime factors of p? 23 Let w = 3 + 2. Let d be 2*w/((-15)/6). Let j = d + 18. What are the prime factors of j? 2, 7 Let d(b) be the second derivative of b**4/4 + b**3/3 + b**2/2 - b. Let v be d(-1). Suppose v*l + 0 = 18. List the prime factors of l. 3 Let y = 6 + -6. Suppose n - 4 - 3 = y. Suppose n*t - 2*t - 95 = 0. What are the prime factors of t? 19 Let r(b) be the first derivative of b**3/3 + b**2 - 3. List the prime factors of r(-5). 3, 5 Let z(s) = 3*s**2 + 2*s - 5. What are the prime factors of z(5)? 2, 5 Let a = 19 + -13. Suppose -15 = -2*d + t + 9, d + t - a = 0. List the prime factors of d. 2, 5 Suppose 3 = -t + 2. Let v = -1 - t. Suppose -3*z - 2*z + 15 = v. What are the prime factors of z? 3 Suppose -h + 5*v + 22 = 0, -2*h - 2*v = -v + 11. Suppose -17 - 15 = -2*p. Let m = h + p. List the prime factors of m. 13 Let d(x) = -8*x - 3. Suppose 5 - 1 = -2*y. List the prime factors of d(y). 13 Let i(u) = u**2 + 4*u. Let k(h) = -h**3 - 8*h**2 + 9*h + 4. Let b be k(-9). Suppose -25 = y + b*y. List the prime factors of i(y). 5 Let l be 31/5 + (-7)/35. Suppose -w - 380 = -l*w. Suppose 3*p - 57 = 4*r, 0 = -3*p + 7*p - 2*r - w. List the prime factors of p. 19 Suppose 5*c - 622 = -3*a, -4*c + 2*a + 2*a + 472 = 0. Suppose 0 = 2*g - 0*g - 12. List the prime factors of (-2)/g + c/6. 2, 5 Let y = 3 - -14. Let z = y + 5. What are the prime factors of z? 2, 11 Let q = -17 + 24. List the prime factors of q. 7 Let k be (-69)/(-15) + 2/5. Suppose -k - 3 = -2*q. List the prime factors of q. 2 Suppose -995 = -8*v + 3*v. What are the prime factors of v? 199 Let c(g) = -4*g**2 - g - 5. Let b be c(-3). Let m = 53 + b. List the prime factors of m. 3, 5 Let k = -1 + 5. Suppose -k*u = 0, 5*b + u - 15 = 6*u. Suppose b*g = 4*g - 20. List the prime factors of g. 2, 5 Let a = -3 - -5. Suppose t = -a*t - 15. List the prime factors of (-6)/15 - 57/t. 11 Let h(u) = u**3 + 6*u**2 + 2*u - 3. Let d = -1 - 3. Let s be h(d). Suppose -l - 8 = -s. What are the prime factors of l? 13 Let i = -24 + 60. What are the prime factors of i? 2, 3 Suppose -138 + 22 = -4*l + 5*b, -4*b + 87 = 3*l. List the prime factors of l. 29 Suppose 4*i = -z - 0*i + 27, 3*i - 32 = -z. What are the prime factors of z? 47 List the prime factors of ((-1)/3)/((-2)/486*3). 3 Let m be (-2)/(-6) - (-210)/18. Suppose 3*r + m = 42. List the prime factors of r. 2, 5 Suppose -5 = -2*f + 87. Suppose 0*j + z + f = 5*j, z + 10 = j. List the prime factors of j. 3 Let y be 0 + -2 + 7 + -1. Let c = 8 - y. Suppose 27 = c*j - 53. What are the prime factors of j? 2, 5 Let m be 0*(-4 + (-10)/(-2)). Suppose m*d - 70 = -5*d. What are the prime factors of d? 2, 7 Let f(g) = -7*g - 1. Let n be f(-2). Suppose 0 = -4*w + 3*k - 6, w + 7*k = 2*k - n. List the prime factors of (-6)/(18/(-4) - w). 2 Suppose -21 = -5*l + 2*l. Let h be -4 + l - 2/1. What are the prime factors of (-2 - h - -19) + 0? 2 Let w(y) = 2*y - 8. Let m = 12 - 4. What are the prime factors of w(m)? 2 Suppose 0 = -3*z + 4*q - 5*q + 302, q - 401 = -4*z. What are the prime factors of z? 3, 11 Suppose -5*u - 6*l = -l - 85, 0 = u - 2*l - 5. Suppose j = u - 2. List the prime factors of j. 11 Let f be 4 + -2*1/2. Suppose -f*d + 4*s - 11 + 41 = 0, -2 = -d + 4*s. List the prime factors of d. 2, 7 Let u(v) = -4*v**2 + 4*v**3 + v**2 - 2*v**3. Let b be u(2). Suppose -4*p + p + 12 = 5*j, -b*j = 12. List the prime factors of p. 3 Let i(c) = c - 13. Let b be i(10). Let v be 280/6 + 2/b. Suppose 2*l - v = 5*y - 6, 0 = 3*l + 3*y - 18. What are the prime factors of l? 2, 5 Let p(c) = -c**3 - 5*c**2 + 4*c - 4. Let m be p(-6). Suppose -3*r + 25 + m = 0. What are the prime factors of r? 11 Let c be (0/(-2))/(-2 - -4). Let z = 8 - c. Let v = z - 2. List the prime factors of v. 2, 3 Let x = -9 + 8. What are the prime factors of (30/(-3) - 1)/x? 11 What are the prime factors of (-11)/(165/(-2394)) + (-4)/(-10)? 2, 5 Let o = 44 + -8. Let j = o + -20. Suppose q + j = 5*q. List the prime factors of q. 2 Let x = -16 - -40. What are the prime factors of x? 2, 3 Let p(x) = x**2 + 5*x. Suppose -v + 2*i - 22 = v, 0 = 5*v - 4*i + 51. What are the prime factors of p(v)? 2, 7 Let o(m) = m**3 - 5*m**2 - 8*m. Let c be o(6). Let p be 4/c - 7/(-3). Suppose 15 = 3*v + p*j - 30, 4*j = v - 29. What are the prime factors of v? 17 Let d = 1 + 29. Suppose -35 - d = -5*p. What are the prime factors of p? 13 Let k(a) = a**3 - 2*a**2 + a. Let y be k(2). Let t = y - 2. Suppose t*w + 55 = 5*w. What are the prime factors of w? 11 Let t = 3 + -1. Let x(n) = n + 2 - t. What are the prime factors of x(6)? 2, 3 Let c(m) = m**3 - 4*m**2 - 3*m + 2. Let s be c(5). Suppose 5*l + s = 7*l. What are the prime factors of l? 2, 3 Let j = -6 - -16. List the prime factors of j. 2, 5 Let z be (1/1)/(7/539). Let r = z + -50. What are the prime factors of r? 3 List the prime factors of (21/(-5))/((-3)/15). 3, 7 Let z = 83 - 41. List the prime factors of z. 2, 3, 7 Let c(i) = -i**3 + 4*i**2 + 2*i - 2. Suppose -5*h = -5 - 15. List the prime factors of c(h). 2, 3 Let y = 113 + -100. List the prime factors of y. 13 Let h(d) = 14*d - 1. Let q be h(4). Suppose u + 4*u - q = -5*s, 2*u + s = 26. List the prime factors of u. 3, 5 Suppose -2*j = -2*w - 22, 0*w - w = -4*j + 50. What are the prime factors of j? 13 List the prime factors of 2/(-8) + (-10)/(160/(-228)). 2, 7 Let s be (-2)/(-1) - 114*1. Let d be (2/4)/((-2)/s). What are the prime factors of d/5 + (-4)/(-10)? 2, 3 Let s(o) = -5*o - 1. Let l be s(3). Let r = l - -18. List the prime factors of r. 2 Let i(z) = -z**2 - 6
{ "pile_set_name": "DM Mathematics" }
out replacement from mdmlmnddlrvm? 1/55 What is prob of picking 2 z and 1 t when three letters picked without replacement from zrtrxtrttnyztz? 15/364 Two letters picked without replacement from {q: 1, r: 1, w: 3, v: 2, x: 3}. Give prob of picking 1 r and 1 q. 1/45 Two letters picked without replacement from {q: 4, t: 4, z: 7}. Give prob of picking 2 q. 2/35 Four letters picked without replacement from {f: 1, e: 1, b: 3, a: 3, j: 2, k: 1}. What is prob of picking 2 j, 1 b, and 1 a? 3/110 Four letters picked without replacement from poqpozopuozoppo. Give prob of picking 1 p, 2 z, and 1 o. 2/91 Two letters picked without replacement from {t: 3, r: 3, x: 4, m: 3}. Give prob of picking 2 x. 1/13 Two letters picked without replacement from azapzzntzpzzzzzpt. What is prob of picking 2 a? 1/136 Calculate prob of picking 1 b, 2 o, and 1 k when four letters picked without replacement from {k: 1, o: 5, b: 5}. 5/33 Two letters picked without replacement from {n: 1, d: 1, j: 2, e: 1, l: 12}. What is prob of picking 1 d and 1 l? 3/34 What is prob of picking 2 v and 2 b when four letters picked without replacement from {a: 3, z: 1, b: 4, v: 2}? 1/35 Three letters picked without replacement from dddccdc. What is prob of picking 3 d? 4/35 Three letters picked without replacement from {k: 10, b: 4}. What is prob of picking 2 k and 1 b? 45/91 Three letters picked without replacement from {q: 6, p: 6}. Give prob of picking 3 p. 1/11 Two letters picked without replacement from {y: 1, j: 4, n: 5, x: 3, d: 4, c: 1}. Give prob of picking 1 j and 1 y. 4/153 Calculate prob of picking 2 s when two letters picked without replacement from ccstc. 0 What is prob of picking 1 a and 1 u when two letters picked without replacement from ijauujuuahah? 2/11 Calculate prob of picking 1 v, 1 d, and 1 h when three letters picked without replacement from ynynhydvvyymh. 2/143 Three letters picked without replacement from kaamfm. What is prob of picking 1 k and 2 m? 1/20 Four letters picked without replacement from {r: 1, k: 2, h: 5, x: 2, c: 6, a: 3}. Give prob of picking 2 c, 1 r, and 1 k. 5/646 Two letters picked without replacement from {m: 3, s: 1}. Give prob of picking 2 m. 1/2 What is prob of picking 1 x, 1 r, and 1 w when three letters picked without replacement from xdxdfvxfxddrxrvwrx? 3/136 Calculate prob of picking 2 f and 2 l when four letters picked without replacement from {l: 4, f: 7, j: 3, s: 2, c: 3}. 21/646 Calculate prob of picking 1 m and 1 i when two letters picked without replacement from imi. 2/3 What is prob of picking 1 b, 1 w, and 1 d when three letters picked without replacement from {b: 2, d: 2, w: 7}? 28/165 Three letters picked without replacement from zqzkb. Give prob of picking 2 z and 1 k. 1/10 Two letters picked without replacement from wkg. What is prob of picking 1 g and 1 w? 1/3 What is prob of picking 1 p and 2 k when three letters picked without replacement from ikkkikikpiipppk? 12/91 What is prob of picking 2 c when two letters picked without replacement from {y: 1, c: 2}? 1/3 Four letters picked without replacement from lluuluuyyld. What is prob of picking 2 l, 1 y, and 1 d? 2/55 What is prob of picking 1 r and 1 q when two letters picked without replacement from {q: 3, r: 5, f: 1}? 5/12 What is prob of picking 1 o and 1 t when two letters picked without replacement from yntnybwnnyyyotn? 2/105 Three letters picked without replacement from {w: 5, c: 1, m: 4}. Give prob of picking 3 w. 1/12 Calculate prob of picking 1 v, 1 h, and 1 p when three letters picked without replacement from {v: 4, p: 6, h: 2}. 12/55 Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {h: 3, f: 9}. 27/220 What is prob of picking 1 m, 1 a, and 2 x when four letters picked without replacement from aeeaaexebaemeex? 4/1365 Four letters picked without replacement from eellellleelll. What is prob of picking 3 l and 1 e? 56/143 Calculate prob of picking 4 s when four letters picked without replacement from susuuususu. 1/210 Two letters picked without replacement from ttntttntqmttnqttqtn. What is prob of picking 1 m and 1 q? 1/57 Four letters picked without replacement from {k: 2, q: 7}. Give prob of picking 1 k and 3 q. 5/9 What is prob of picking 1 s and 1 v when two letters picked without replacement from pykppkwvpppkypkkvksp? 1/95 What is prob of picking 2 e and 1 d when three letters picked without replacement from {e: 19, d: 1}? 3/20 Three letters picked without replacement from eeypnpp. What is prob of picking 1 e, 1 y, and 1 n? 2/35 What is prob of picking 2 d and 1 h when three letters picked without replacement from dldhhhhhdjjhhj? 3/52 Two letters picked without replacement from esesueseem. What is prob of picking 1 m and 1 e? 1/9 Three letters picked without replacement from ayyyyyaaaa. Give prob of picking 2 y and 1 a. 5/12 Calculate prob of picking 2 y when two letters picked without replacement from uzyauuyappuuzpyu. 1/40 Four letters picked without replacement from yyycyycyycyyyyyy. What is prob of picking 3 c and 1 y? 1/140 What is prob of picking 1 m and 2 t when three letters picked without replacement from {u: 3, m: 1, t: 4}? 3/28 What is prob of picking 1 g and 1 o when two letters picked without replacement from oggggjggggg? 9/55 Calculate prob of picking 1 c and 1 q when two letters picked without replacement from crzjlqr. 1/21 Three letters picked without replacement from {v: 2, w: 4, r: 3}. What is prob of picking 3 w? 1/21 Calculate prob of picking 2 l and 2 y when four letters picked without replacement from yydyylylyldr. 1/11 Four letters picked without replacement from {z: 4, k: 15}. What is prob of picking 4 k? 455/1292 Four letters picked without replacement from {o: 1, i: 5, t: 4, c: 5, a: 5}. Give prob of picking 1 t, 1 o, and 2 i. 8/969 Two letters picked without replacement from {i: 5, m: 1, k: 13, w: 1}. Give prob of picking 2 i. 1/19 What is prob of picking 1 m and 2 h when three letters picked without replacement from {h: 5, m: 5}? 5/12 Calculate prob of picking 2 p and 1 b when three letters picked without replacement from {b: 2, p: 6}. 15/28 Two letters picked without replacement from gmgggm. Give prob of picking 2 m. 1/15 Three letters picked without replacement from {c: 2, n: 4, l: 3, t: 2}. What is prob of picking 2 l and 1 c? 2/55 What is prob of picking 1 d and 1 z when two letters picked without replacement from vddtdvvvzdddvw? 6/91 Two letters picked without replacement from andzc. What is prob of picking 1 z and 1 n? 1/10 Two letters picked without replacement from ttngtggtn. Give prob of picking 2 t. 1/6 Three letters picked without replacement from {t: 1, y: 2, d: 4, a: 10}. What is prob of picking 1 y, 1 a, and 1 t? 1/34 Two letters picked without replacement from {p: 3, w: 7, g: 2}. Give prob of picking 2 w. 7/22 Calculate prob of picking 1 s, 1 x, and 1 p when three letters picked without replacement from {s: 1, x: 3, p: 4}. 3/14 Two letters picked without replacement from nnnanndnnxnnnndaxnn. What is prob of picking 1 a and 1 d? 4/171 Four letters picked without replacement from {t: 1, m: 3, e: 1, v: 4, l: 5}. Give prob of picking 4 v. 1/1001 What is prob of picking 2 k and 1 c when three letters picked without replacement from {k: 5, c: 1, a: 4}? 1/12 Two letters picked without replacement from ndnhdnnndndpn. Give prob of picking 2 d. 1/13 What is prob of picking 3 i and 1 x when four letters picked without replacement from ixxxiiixiixxxi? 35/143 Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bwbxbxhhxbgb. 5/22 Calculate prob of picking 2 y when two letters picked without replacement from {q: 8, y: 4, t: 8}. 3/95 Two letters picked without replacement from qzquqcqa. Give prob of picking 1 u and 1 z. 1/28 Three letters picked without replacement from {y: 2, f: 4, l: 7}. What is prob of picking 2 l and 1 y? 21/143 What is prob of picking 1 u and 1 d when two letters picked without replacement from {h: 1, d: 1, u: 5, t: 2}? 5/36 Four letters picked without replacement from {h: 2, s: 1, o: 3, p: 1}. Give prob of picking 1 o, 1 p, and 2 h. 3/35 Two letters picked without replacement from {n: 2, a: 6, u: 3, e: 2}. Give prob of picking 2 e. 1/78 Three
{ "pile_set_name": "DM Mathematics" }
00152 What is -7574.49 rounded to the nearest one thousand? -8000 What is 482.6249 rounded to the nearest ten? 480 Round -7.18191 to 1 dp. -7.2 What is -1550.22 rounded to the nearest integer? -1550 What is -19735.84 rounded to the nearest 10000? -20000 What is -460.7668 rounded to the nearest ten? -460 Round 84594.03 to the nearest 1000. 85000 Round 1241066300 to the nearest one hundred thousand. 1241100000 What is 63967.23 rounded to the nearest one thousand? 64000 Round 18.0032 to 0 dps. 18 Round 2271.7363 to 0 dps. 2272 Round 27606500 to the nearest one hundred thousand. 27600000 Round -35.04615 to two decimal places. -35.05 What is 112637400 rounded to the nearest 1000000? 113000000 What is -0.0005737794 rounded to six decimal places? -0.000574 Round -0.00008286383 to 7 dps. -0.0000829 What is -14003000 rounded to the nearest one hundred thousand? -14000000 Round 119937.31 to the nearest ten thousand. 120000 What is -13301890 rounded to the nearest 100000? -13300000 What is 5756 rounded to the nearest 100000? 0 What is 43170500 rounded to the nearest 1000000? 43000000 Round 0.00000624564 to seven dps. 0.0000062 Round 0.00000034269 to six dps. 0 What is 0.0000467085 rounded to seven dps? 0.0000467 Round -64309.6 to the nearest one thousand. -64000 What is 370.384 rounded to the nearest one hundred? 400 What is -123509.7 rounded to the nearest one thousand? -124000 Round -0.890651 to 3 decimal places. -0.891 What is 16907363 rounded to the nearest ten thousand? 16910000 What is -0.001295318 rounded to 3 decimal places? -0.001 What is -4.2906149 rounded to 0 dps? -4 Round 2339.47 to the nearest integer. 2339 Round 14036100000 to the nearest 1000000. 14036000000 What is 1759.234 rounded to the nearest one hundred? 1800 What is 2279993 rounded to the nearest 1000? 2280000 What is 1.43493 rounded to one dp? 1.4 What is -89.4175 rounded to the nearest ten? -90 What is 38467.01 rounded to the nearest 100? 38500 What is -16.2441 rounded to the nearest ten? -20 What is 7336652 rounded to the nearest one hundred thousand? 7300000 Round -18.6059 to the nearest integer. -19 What is 0.0001602311 rounded to 7 dps? 0.0001602 Round 14.91492 to the nearest ten. 10 Round -0.00002255578 to 6 dps. -0.000023 What is -14550770 rounded to the nearest one million? -15000000 Round -4.341796 to 2 dps. -4.34 What is -0.00103436 rounded to 5 decimal places? -0.00103 What is 0.000003795 rounded to 7 dps? 0.0000038 Round -0.26600959 to 2 dps. -0.27 What is 80.2941 rounded to the nearest 10? 80 Round -0.0373662 to 2 dps. -0.04 Round 0.0005614828 to 4 decimal places. 0.0006 Round 2.340171 to 1 decimal place. 2.3 What is 29733500 rounded to the nearest 1000000? 30000000 What is -610369.8 rounded to the nearest 1000? -610000 What is 115977 rounded to the nearest ten thousand? 120000 Round -2100000 to the nearest 1000. -2100000 Round -73.88625 to 2 decimal places. -73.89 Round -475883.5 to the nearest 1000. -476000 What is -0.00003149997 rounded to 7 dps? -0.0000315 Round -0.00000197195 to 7 dps. -0.000002 What is -0.000143561 rounded to six decimal places? -0.000144 What is -2.631485 rounded to three dps? -2.631 What is 1203689 rounded to the nearest 100000? 1200000 What is -2176.11 rounded to the nearest one hundred? -2200 Round 3.503646 to two decimal places. 3.5 What is -0.0320565 rounded to one dp? 0 What is 1.812482 rounded to 2 dps? 1.81 Round -0.00614528 to 5 dps. -0.00615 What is 0.00004793635 rounded to seven dps? 0.0000479 Round 22.497 to 2 dps. 22.5 What is 50.7123 rounded to one decimal place? 50.7 Round 1.376083 to three decimal places. 1.376 What is 920500 rounded to the nearest 10000? 920000 What is -0.005941489 rounded to three decimal places? -0.006 Round 0.0004611464 to four decimal places. 0.0005 Round -0.138251 to three decimal places. -0.138 What is -54164.84 rounded to the nearest 10000? -50000 What is -17.393056 rounded to the nearest integer? -17 Round 68558.81 to the nearest 1000. 69000 Round 0.00024638085 to 6 decimal places. 0.000246 Round -379.98341 to one decimal place. -380 Round 1864.07 to the nearest one thousand. 2000 What is -0.010146089 rounded to 5 decimal places? -0.01015 Round 187660 to the nearest 1000. 188000 Round 89041.37 to the nearest one hundred. 89000 Round 495588.7 to the nearest ten thousand. 500000 Round 0.0003186996 to 7 decimal places. 0.0003187 Round 117033895 to the nearest ten thousand. 117030000 What is -0.054967792 rounded to 2 decimal places? -0.05 Round -2888.885 to zero decimal places. -2889 Round -33098.29 to the nearest ten. -33100 What is -14.606471 rounded to two decimal places? -14.61 What is 342.07585 rounded to zero decimal places? 342 What is -496383410 rounded to the nearest one hundred thousand? -496400000 What is 0.0296366 rounded to 3 dps? 0.03 Round 4370500 to the nearest one hundred thousand. 4400000 What is -0.1684144 rounded to three dps? -0.168 What is -0.0103203836 rounded to five dps? -0.01032 Round 643.2833 to the nearest one hundred. 600 What is 0.0059544739 rounded to three decimal places? 0.006 What is -0.2303498 rounded to 3 decimal places? -0.23 Round -0.2511628 to three decimal places. -0.251 Round -24.00588 to zero decimal places. -24 Round -231.3148 to the nearest ten. -230 What is 21.68249 rounded to 1 decimal place? 21.7 Round 0.000204411 to seven decimal places. 0.0002044 Round -10.7719 to one decimal place. -10.8 Round -0.000048955 to 7 decimal places. -0.000049 What is 15.30024 rounded to one decimal place? 15.3 What is 490.323 rounded to the nearest 100? 500 Round 6011.11 to the nearest 10. 6010 Round -51.70861 to 2 decimal places. -51.71 What is -67.73385 rounded to zero decimal places? -68 Round -78.65186 to zero dps. -79 Round -0.00000035090477 to seven dps. -0.0000004 Round -0.00815691 to 3 dps. -0.008 What is -1740879 rounded to the nearest one thousand? -1741000 What is -56534190 rounded to the nearest 10000? -56530000 What is -7.225961 rounded to two decimal places? -7.23 What is -0.00005909963 rounded to 6 decimal places? -0.000059 What is -219.7953 rounded to the nearest 10? -220 What is 160384 rounded to the nearest 1000? 160000 Round -9647190000 to the nearest one million. -9647000000 What is 0.006215269 rounded to three decimal places? 0.006 What is 49.2794 rounded to the nearest 100? 0 What is 713668 rounded to the nearest one thousand? 714000 Round -16102.976 to the nearest ten. -16100 Round -0.0000838804 to five decimal places. -0.00008 What is -78910.6 rounded to the nearest ten thousand? -80000 Round 3.187585 to two decimal places. 3.19 Round 0.001108697 to four decimal places. 0.0011 What is -53.27071 rounded to 0 decimal places? -53 What is -61.8514 rounded to the nearest ten? -60 Round 170.286402 to 1 decimal place. 170.3 What is -305037 rounded to the nearest 100? -305000 Round 0.011925776 to 6 dps. 0.011926 What is 1.21969 rounded to 2 decimal places? 1.22 What is 0.00000130089 rounded to seven dps? 0.0000013 What is -0.002463589 rounded to four dps? -0.0025 Round -0.015579343 to two decimal places. -0.02 Round -37689609 to the nearest 1000000. -38000000 Round -0.000187677 to 5 dps. -0.00019 What is 59.5383 rounded to the nearest 10? 60 Round 0.00940903 to 3 decimal places. 0.009 Round 1213.3842 to the nearest 100. 1200 What is -0.0000134485 rounded to five decimal places? -0.00001 Round -13099406 to the nearest one hundred thousand. -13100000 Round -557879.75 to the nearest 100000. -600000 Round -282.1874 to the nearest integer. -282 What is 0.34540063 rounded to 2 dps? 0.35 Round 2.47302 to one decimal place. 2.5 Round -0.21226117 to four decimal places. -0.2123 Round 0.0000128341 to 7 decimal places. 0.0000128 What is -0.00004209165 rounded to five decimal places? -0.00004 Round -0.000000052611 to 7 decimal places. -0.0000001 Round -2693.431 to the nearest integer. -2693 What is -5733607 rounded to the nearest 1000000? -6000000 Round -0.000000216167 to seven decimal places. -0.0000002 Round -1377361 to the nearest ten thousand. -1380000 Round 3.912 to the nearest 10. 0 What is -17899500 rounded to the nearest ten thousand? -17900000 Round -125.33924 to the nearest ten. -130 Round 4779.673 to the nearest integer. 4780 What is 8.032422 rounded to 1 decim
{ "pile_set_name": "DM Mathematics" }
t t(u) = 4*u**2 + 2*u**2 - u**2 - u**2. Let v(d) = -1. Let h be ((-24)/(-16))/(6/4). Let p(j) = j + 5. Let z(x) = h*p(x) + 5*v(x). Determine z(t(c)). 4*c**2 Let i(u) = -83*u. Let q(h) = h**2. Determine i(q(l)). -83*l**2 Let c(j) = -4*j. Let v(m) = 40*m. What is c(v(h))? -160*h Let z(a) be the second derivative of 0*a**2 + 0 + 5/6*a**3 - 4*a. Let c(k) = 6*k. Let j(p) = p. Let q(r) = -c(r) + 5*j(r). Determine z(q(b)). -5*b Let w(t) be the first derivative of 2*t**3/3 - 12. Let c(g) = 6*g**2. What is w(c(b))? 72*b**4 Let d(l) = 2*l. Let a(g) be the first derivative of -g**6/360 + 4*g**3/3 + 4. Let w(v) be the third derivative of a(v). Give d(w(p)). -2*p**2 Let v(s) be the third derivative of s**7/1260 + s**4/24 - s**2. Let o(q) be the second derivative of v(q). Let w(u) = -u. Determine o(w(t)). 2*t**2 Let m(w) = -699*w. Let l(o) = -7*o**2. Give l(m(y)). -3420207*y**2 Let a(d) be the second derivative of 1/3*d**3 - 2*d + 0*d**2 + 0. Let b(v) = -10*v + 9. Let t(k) = k - 1. Let x(o) = -4*b(o) - 36*t(o). Calculate a(x(c)). 8*c Let z(d) be the second derivative of 7*d**3/2 - 8*d + 2. Let i(q) = -3*q. Give z(i(k)). -63*k Let a(w) = 1621*w**2. Let o(f) = -12*f**2. Give o(a(v)). -31531692*v**4 Let d(m) = 3*m**2 - 5*m - 5. Let j(q) = -20*q**2 + 16*q**2 + 4 + 2 + 6*q. Let g(h) = -6*d(h) - 5*j(h). Let l(i) = -3*i**2. What is g(l(u))? 18*u**4 Let f(y) = -8*y - 2. Let p(t) = -3*t**2. Calculate p(f(a)). -192*a**2 - 96*a - 12 Let t(b) = -b**2. Let f(u) = -3*u**2 + 91*u. Give f(t(i)). -3*i**4 - 91*i**2 Let w(y) = -3*y**2 + 5*y**2 - 4*y**2. Let v(p) = 6*p**2. Determine v(w(b)). 24*b**4 Let i(l) = 8*l. Let d = 18 + -16. Let c(b) = 14 - 14 + b**d. What is i(c(t))? 8*t**2 Let l(q) = q**2 - q - 1. Let w(v) = 6 + v - v**2 + 5*v - 3*v**2. Let r(s) = -6*l(s) - w(s). Let z(o) = 2*o**2. Calculate r(z(p)). -8*p**4 Let y(k) = 3*k**2. Let b(a) = 41*a - 21. What is b(y(w))? 123*w**2 - 21 Let d(z) = -12 + 12 - 2*z**2. Let s be (-3)/(-9)*3 - -2. Let h(x) = 5 - 3 - 2 + s*x. What is h(d(u))? -6*u**2 Let b(d) = 118*d**2 + 2. Let j(i) = 9*i**2. Give b(j(o)). 9558*o**4 + 2 Let z(h) = -10*h**2 - 9*h**2 - 7*h**2 + 8*h**2. Let x(d) = -d**2. Determine x(z(y)). -324*y**4 Let h(p) = 2*p**2. Let x = 25 + -16. Let b(t) = -t**2 + 4*t. Let u(v) = -2*v**2 + 9*v. Let w(r) = x*b(r) - 4*u(r). What is h(w(q))? 2*q**4 Let b(v) = -6*v**2. Let s(q) = q**2 - 7*q - 13. Let c be s(9). Suppose 0 = -3*n - c*w + 68, 0 = n + w - 9 - 15. Let r(h) = -2*h + 26 - n. What is r(b(m))? 12*m**2 Let a(w) be the first derivative of -w**3/3 + 2*w + 1. Let r(s) be the first derivative of a(s). Let z(d) = 4*d**2. Determine z(r(m)). 16*m**2 Let c(n) be the first derivative of n**2/2 + 3. Let q(d) = 3 - 3 + 2*d**2. What is q(c(a))? 2*a**2 Let h(k) = 13*k**2. Let r(z) = 2*z**2. Determine r(h(m)). 338*m**4 Let q(x) = 2*x - 2. Let j(m) = -m**2 - 11*m + 11. Let y(k) = -2*j(k) - 11*q(k). Let r = -3 - -5. Let v(z) = 3*z**2 + 6*z**2 - 4*z**2 - r*z**2. What is v(y(b))? 12*b**4 Let j(r) = -9 + 2*r + 9. Let y(w) = -7*w. Determine j(y(a)). -14*a Let j(a) = 2*a**2. Let r(q) be the second derivative of -5*q**4/24 - 9*q**2/2 + 6*q. Let b(y) be the first derivative of r(y). Calculate b(j(n)). -10*n**2 Let m(d) = 161 - 161 - 2*d. Let g(y) be the third derivative of -y**7/360 + y**4/24 - y**2. Let b(c) be the second derivative of g(c). Calculate b(m(p)). -28*p**2 Let b(i) = 3*i**2. Let w(v) = 2*v**2 + 887*v. Calculate w(b(n)). 18*n**4 + 2661*n**2 Let y(b) = -14*b. Let o(m) = -m. Give y(o(h)). 14*h Let x be (6/16)/(4*(-9)/(-48)). Let g(l) be the first derivative of -1 + 0*l - x*l**2. Let o(s) = -4*s**2. Determine o(g(n)). -4*n**2 Let b(g) = -5*g + 3*g + 3*g. Let p(h) = 0*h - h + 4*h. Determine b(p(s)). 3*s Let x(k) be the second derivative of k**4/12 - k. Let p(f) be the first derivative of -1 + 0*f - 1/2*f**2. Give x(p(b)). b**2 Let f(l) = l. Let i(u) = -12767*u. Calculate i(f(n)). -12767*n Let r(p) be the first derivative of p**5/30 + p**2 + 6. Let n(t) be the second derivative of r(t). Let d(o) = 5*o**2. Give n(d(q)). 50*q**4 Let s(x) = 7*x. Let c = 0 - -2. Let o(p) = -18*p**c + 6*p**2 + 5*p**2 + 9*p**2. Determine o(s(v)). 98*v**2 Let z(y) = 2*y**2. Let c(b) be the second derivative of -7*b**5/60 + 5*b**2/2 + 4*b. Let f(d) be the first derivative of c(d). Give z(f(n)). 98*n**4 Let y(c) be the second derivative of -c**5/60 + 3*c**2/2 - 2*c. Let b(w) be the first derivative of y(w). Let i(n) = 9*n - 5*n - 3*n. Determine i(b(v)). -v**2 Let q(j) = -52*j. Let g(s) = 21*s. Let n(r) = 12*g(r) + 5*q(r). Let d(t) = -3*t. Give n(d(v)). 24*v Let r(l) = -8*l**2. Let a(j) = -2*j - 6. Let n(t) = -t - 3. Let u(b) = -2*a(b) + 5*n(b). Let y(d) = -2*d - 4. Let o(v) = -4*u(v) + 3*y(v). Calculate r(o(z)). -32*z**2 Let g(y) = -y**2 + 450. Let o(d) = 2*d**2. What is o(g(h))? 2*h**4 - 1800*h**2 + 405000 Let j(o) = o. Let x(t) be the second derivative of -43*t**4/12 + 12*t. Determine x(j(p)). -43*p**2 Let b(i) = -36*i - 241. Let y(g) = -g. Give b(y(a)). 36*a - 241 Let a(q) = -3*q. Let p(k) = -7*k**2 + 4. Let c(u) = -8*u**2 + 5. Let b(d) = -4*c(d) + 5*p(d). Calculate b(a(o)). -27*o**2 Let a(o) = 166*o**2. Let y(z) = 2*z + 2. Calculate a(y(h)). 664*h**2 + 1328*h + 664 Let n(s) = -2*s**2. Let k(a) = -2*a**2 - 321. Give k(n(d)). -8*d**4 - 321 Let p(z) = -z. Let t(q) = 23*q**2 - 184. Calculate t(p(u)). 23*u**2 - 184 Let h(b) = -17*b + 2*b**2 + 17*b - 5*b**2. Suppose 5*a + u = 12, -2*a + 10 = -u + 1. Let q(g) = g**2 - 3 + a. Determine h(q(o)). -3*o**4 Let c(f) = -39*f**2. Let i(u) = 284*u**2. Give c(i(j)). -3145584*j**4 Suppose -3*j = -8 - 1. Let s be 4 - 2*(-1 - -2). Let f(n) = j*n**2 - n**s - n**2. Let k(r) = 2*r**2. Give f(k(i)). 4*i**4 Let w(x) = -x + 1. Let h(u) be the second derivative of -u**4/6 - 4*u**3/3 + 4*u**2 + 10*u. Let a(p) = -h(p) + 8*w(p). Let d(b) = -10*b. What is a(d(o))? 200*o**2 Let b be -1 - -1 - (-2)/(-1). Let w(i) = 0*i - 4*i + 2*i - 3. Let y(k) = -k - 2. Let d(m) = b*w(m) + 3*y(m). Let z(n) = 2*n**2. What is z(d(u))? 2*u**2 Let u(g) = -2*g**2. Let v(s) = 4986*s - 1. What is u(v(n))? -49720392*n**2 + 19944*n - 2 Let n(v) = 78*v. Let p(s) = -2*s**2. Determine p(n(o)). -12168*o**2 Let q(j) = -120 + 2*j + 120. Let l(z) = -5*z. Let g(n) be the first derivative of -n**2 + 1. Let t(p) = -9*g(p) + 4*l(p). Calculate q(t(k)). -4*k Let g(m) be the third derivative of -m**6/240 + m**4/12 - 2*m**2. Let a(c) be the second derivative of g(c). Let s(o) = 7 - 7 - o. What is s(a(j))? 3*j Suppose f + t - 5 - 3 = 0, t - 4 = 0. Let p(w) be the second derivative of 0*w**3 - 1/6*w**f + 0*w**2 - 2*w + 0. Let y(c) = 3*c**2. What is y(p(n))? 12*n**4 Let o(c) = 5*c**2. Let u(n) = -7*n - 3. Let z(f) = -48*f - 20. Let r(g) = -20*u(g) + 3*z(g). Give r(o(i)). -20*i**2 Let z(k) = 4*k**2. Let g(w) = -6*w + 4. Let b = 30 - 19. Let j(l) = b - 2 - 8*l - 5*l. Let p(u) = -9*g(u) + 4*j(u). Determine p(z(a)). 8*a**2 Let q(b) = 359*b + 2. Let k(z) = 3*z. What is q(k(f))? 1077*f + 2 Let f(w) be the third derivative of w**4/12 - 5*w**2. Let j(b) = -b. What is j(f(h))? -2*h Let v(z) = -z**2. Let m(p) = 9*p**3 - p**2 - p + 1. Let j be m(1). Let l(i) = j*i**2 - 2 - 4*i**2 + 2. Calculate v(l(h)). -16*h**4 Suppose -l = -3 - 1. Suppose t = -t + l. Let h(w) = -w**2 + 4*w**2 - 2*w**t. Let y(o) = o. Give y(h(x)). x**2 Let n(z) be the third derivative of -z**8/10080 - z**5/60 - z**2. Let x(q) be the third derivative of n(q). Let a(p) = 2*p**2 + 19 - 19. Determine x(a(r)). -8*r**4 Suppose 0 = -3*g + 2*g - 1. Let h = g + 3. Let l(p) = -2*p**2 + 0*p**2 + p**h. Let k(j) = -j. What is l(k(y))? -y**2 Let r(q) = -q. Let y(t) = -11*t**2 - 4*t - 4. Let h(z) = -z**2 - z - 1. Let s(b) = 4*h(b) - y(b). Determine r(s(l)). -7*l**2 Let l(u) = -3*u. Let i(b) = 19*b + 3 - 7*b - 3. Let m(q) = 8*q. Let t(n) = -5*i(n) + 8*m(n). Determine l(t(y)). -12*y Let v(k) be the third derivative of -9*k**2 + 0*k**4 + 0*k + 0*k**3 - 1/60*k**5 + 0. Let l(q) = -16*q**2. Determine v(l(i)). -256*i**4 Let a(y) be the second derivative of 11*y**4/6 + 4*y. Let s(k) = k**2. Determine a(s(r)). 22*r**4 Let q(k) = -6*k + 5. Let o(z) = 5*z - 4. Let h(b) = 5*o(b) + 4*q(b). Let p(l) = -19*l. Give h(p(n)). -19*n Let o(n) be the second derivative of n**4/6 - 5*n. Let t(r) = -6*r**2 - 5*r. Let x = 1 - 0. Let p(v) = v**2 + v. Let b(d) =
{ "pile_set_name": "DM Mathematics" }
+ 4*i). 4*i**4 + i**3 Expand (-4 + 1 + 4)*(-439*u + 439*u + 8*u**2). 8*u**2 Expand -4 + 2 - 3*k**2 + 2*k**2 - 56*k - 9*k**2 + 56*k + (2*k**2 + 3 - 3)*(-5 - 2 + 5) + 1 + 2*k**2 - 1 - 3*k**2 + 2*k**2 - k**2 + k - k + 2*k**2. -12*k**2 - 2 Expand (3*w + w - 2*w)*(3*w**4 - 4*w**4 + 2*w**4 + (w + 2*w**3 - w)*(3*w + 2*w - 2*w) - 2*w**4 + 5*w**4 - 4*w**4). 12*w**5 Expand (2*k**2 + 0*k**2 + 3*k**2)*(-1 - 6 + 5). -10*k**2 Expand (-2*c**2 - 107 - 4*c + 107)*(0*c**2 - 3*c**2 + 2*c**2). 2*c**4 + 4*c**3 Expand (2*g - 2*g**2 - 2*g)*(-51 + 51 + 41*g**2). -82*g**4 Expand 5*f - f - 2*f + (-2 - f + 2)*(3 - 6 - 4) + (4*f + 0*f - 2*f)*(-1 + 4 - 1). 13*f Expand (-2*t**2 + 2*t**2 + 2*t**2)*(t - t + t**2) - 4 + 15*t**4 + 14*t**4 - 28*t**4. 3*t**4 - 4 Expand (-49 + 15*a**2 + 49 + (2 - 3 + 0)*(-1 + 1 + a**2))*(2*a - a - 3*a - a**3). -14*a**5 - 28*a**3 Expand 3*h**2 - 2*h**4 - 3*h**2 + (-13822 - 160*h**2 + 13822)*(-3*h**2 + h**2 - h**2). 478*h**4 Expand (f - 3*f + f)*(-13 - 17 + 48)*(3 - 2*f**2 - 3). 36*f**3 Expand (-5 - 1 + 4)*(1 + 3 - 2)*(0 + 4*l - 2*l + 3). -8*l - 12 Expand (-7*d + 4*d - 10*d)*((-3*d + 0*d + 2*d)*(0*d + d + d) + 2*d - d**2 - 2*d). 39*d**3 Expand -41*b**2 - 38*b**2 - 61*b**2 + (-2*b + 5*b - b)*(-1 + 1 - 2*b) - b**2 - 4*b**2 + 4*b**2 + 3*b**2 - b**2 - 3*b**2. -146*b**2 Expand (20*h - 9*h + 32*h)*(-h**2 + 2*h**2 + 0*h**2). 43*h**3 Expand -4*p + 6*p - 3*p - 1 + 4*p + 0*p + p + (2 + 0 - 1)*(-p + 0*p + 0*p). 3*p - 1 Expand 0*z - 2*z + 0*z + (-1 - 5 + 4)*(4*z + 0*z - 2*z) + 0 + 0 + 2*z - 13*z + 21*z + 3*z. 7*z Expand 0*y**2 + 0*y**2 - y**2 + (0*y + 2*y - 4*y)*(5 - 5 - 4*y). 7*y**2 Expand (-22*t - t + t + 2*t - 4*t + t + 0*t + 3*t - t + 2*t - 2*t + t + (-3 + 5 - 1)*(1 + 2*t - 1) + 2*t + 1 - 1)*(t + 2 - 2). -16*t**2 Expand 5*p**3 + 3*p + 0*p - 4*p**3 + 2*p**3 - 4*p**3 + 4*p**3 - p + 2*p**3 + p + 5 - 5 - 2*p**3 + (-p - 2 + 2)*(-2 + 2 + p**2). 2*p**3 + 3*p Expand -5*a + 3*a + 3*a + (1 + 0 + 0)*(-6*a + 5*a - 5*a). -5*a Expand (0 + 0 - v)*(4 - 1 + 8*v - 1). -8*v**2 - 2*v Expand (0*a + 0*a - 2*a**3)*(6 - 3 - 1) - 3*a**3 + 2*a**3 + 2*a**3. -3*a**3 Expand (-3 + 0 + 4 + (-1 - 3 + 2)*(1 + 0 - 3))*(2*i + 4 - 4)*(-2 - 4 + 5). -10*i Expand (-2*x - 2*x + 3*x + (x + x - 3*x)*(-2 + 3 + 0) + 0*x + 0*x - x)*(-9*x + 9*x - 9*x**3). 27*x**4 Expand (-3*l**2 - l**2 + 7*l**2)*(-l - l + 4*l)*(-3 + 3 + 3). 18*l**3 Expand (2*g**3 - 2*g - 5*g**3 + 2*g**3)*(-1 + 0 - 3). 4*g**3 + 8*g Expand (6*v + 3*v + 0*v)*(5*v**4 - v**2 + v**2). 45*v**5 Expand (1 + 3 - 2)*(4 - 1 - 2)*(-3*o - 5*o**2 + 3*o). -10*o**2 Expand -p + 1 - 1 + (-p - p - p)*(-2 + 5 - 1) + 0*p + 6*p - 2*p. -3*p Expand (-2 + 2 - 3*o + (1 - 1 - 2)*(3*o + o - 5*o))*(6*o**3 - 4*o**3 - 3*o**3). o**4 Expand (3 - 4 + 201*h - 202*h)*(2*h - 4*h + 3*h). -h**2 - h Expand (1 - 1 - 2*g)*(-6*g - 6 + 6) + (5*g + 5*g - 6*g)*(-1 + 1 - g). 8*g**2 Expand (-z**2 - 3*z**2 + 6*z**2)*(-1 + 5 - 2)*(3 + 10 - 4). 36*z**2 Expand (483 - 249 - 358)*(3*i**5 - 6*i**5 + i**5). 248*i**5 Expand 4*t + 7 - 7 + (-2*t - 5*t + 2*t)*(2 - 3 - 4). 29*t Expand (-1 + 2*l**2 + 1)*(3*l - 2*l + 4*l) + 0*l + 0*l - l**3 + 5*l**3 + l**3 - 4*l**3 + (-5*l + 4*l - l)*(l**2 - 3*l**2 + 0*l**2). 15*l**3 Expand l**2 + 0*l**2 + 0*l**2 + (-3*l + 3*l + l)*(-10*l - 2 + 6*l + 1). -3*l**2 - l Expand (1 - 1 - 3)*(-1 + 2 + 4*p - p). -9*p - 3 Expand 5*k + 6*k**4 - 5*k + (-3 + 3 + k)*(2*k**2 - 2*k**3 - 2*k**2) - 3 + 3*k**4 + 3. 7*k**4 Expand (-15*i + 6*i - 3*i)*(i + 2*i - 2*i). -12*i**2 Expand (-2*q**3 + q**3 + 2*q**3)*(-5*q**2 - q + q**2 + 4*q)*(2 + 0 + 0). -8*q**5 + 6*q**4 Expand (-1 + 1 - l)*(-1 - 3 + 3) + (-28*l + 118*l - 61*l)*(0 + 0 + 2). 59*l Expand (-2*y - y - 2*y)*(4*y + y**3 - 4*y) + y**3 + 3*y**4 - y**3. -2*y**4 Expand (-2*j**2 + 4 - 4 + 1)*(-j + j - 7*j). 14*j**3 - 7*j Expand (b**2 - b**2 + 2*b**2)*((-2 + 2 + 2)*(-b + 2*b + b) + 4*b + b - 4*b + 2*b - 3*b + 3*b - 2*b - 2*b - b). 4*b**3 Expand (n - 7 + 7)*(7 - 2 - 8)*(1 + 0 - 3)*(7 - 3 - 3)*(0*n + 0*n - 2*n). -12*n**2 Expand 3*f**2 + f**3 - 3*f**2 + (f + 0*f + f)*(-f**2 + 3 - 3) - 3*f**3 + f**3 + f**3 + f**3 + 0*f**3 - 3*f**3. -4*f**3 Expand (0 - 2 + 0 - 2 - 4 + 5 + (-4 + 4 + 1)*(-2 + 0 + 3) - 4 + 1 + 1 + (0 + 3 - 1)*(-4 + 4 + 1))*(66*k - 14*k - 17*k). -70*k Expand ((-a + 4*a - a)*(3 + 3 - 7) + 14*a - 18*a - 11*a)*(1 + 2*a**3 - 1)*(-1 + 1 + 1). -34*a**4 Expand -5*k + 3*k + 0*k + 0 + 0 + 2*k + (1 + 1 - 4)*(4*k - 3*k + k) + 27 - 27 - 10*k. -14*k Expand (0 - 3*i**3 + 0)*(-15*i + 13*i - 4 + 3). 6*i**4 + 3*i**3 Expand (-6*s + s + 3*s)*(-14 + 1 + 8)*(2 - 2 - 1). -10*s Expand 2*i**2 + 5*i**2 - 6*i**2 + 5 + (0 - 2*i + 0)*(-5 + 5 + i) + 0*i**2 - 2*i**2 + 0*i**2. -3*i**2 + 5 Expand (-3*d**2 + 0*d**2 + d**2)*(3*d - d - 3*d)*(6 + 3 - 5)*(0*d + 0*d + 2*d). 16*d**4 Expand (-4 + 2 + 3)*(-2*j + 2 - 2) + j + 0*j + 2*j + (5 - 2 - 1)*(-14*j + 0*j + 0*j). -27*j Expand (y + 3*y - 2*y)*(-3*y - 2*y + 3*y + (y + y - y)*(-1 + 4 + 0)). 2*y**2 Expand (i**4 - i**3 + i**3)*(-3 - 4 + 3) - i**4 - i**4 - 2*i**4. -8*i**4 Expand (-4*x**3 + 4 + 12 - 22)*(3*x**2 - 2*x**2 + x**2). -8*x**5 - 12*x**2 Expand (8 + 4 - 3)*(r**5 - r**3 + r**3 - r**4). 9*r**5 - 9*r**4 Expand (5*y - 3*y - 3*y + 0 - 2*y + 0 + 3 - 3 - y + (1 + 0 - 2)*(-y - 2*y + 4*y))*(-y**4 + 3*y - 3*y). 5*y**5 Expand (0 + 1 + 0)*(-1 + 2 + 1)*(-6*v**2 - 2*v**2 + 5*v**2). -6*v**2 Expand (-4*m + 0*m + 3*m)*(38*m - 38*m + 15*m**2). -15*m**3 Expand 96*l - 24*l - 39*l + 2*l - 3*l + 3*l + (2 + 0 - 3)*(-5*l - 2*l + 5*l) + 0*l - 4*l + 3*l + 0*l + 4*l + 2 - 3*l. 37*l + 2 Expand -4 + 4 - r**2 - 3*r - 16*r**2 + 3*r + (4 - 4 + r**2)*(-1 + 3 - 4). -19*r**2 Expand (-2 - 1 + 1)*(7 + 7*s - 7)*(-1 + 2*s**2 + 1)*(1 - 1 + 2). -56*s**3 Expand (3*z - 2*z + z)*(z - 1 + 1)*(0 + 3 - 1). 4*z**2 Expand -2*t**2 + 2*t**3 + 2*t**2 + (0 + 0 + 2*t)*(0*t**2 - t**2 + 2*t**2) + (-t**2 + 2*t**2 - 3*t**2)*(-t + 2*t + 0*t). 2*t**3 Expand (-o**2 + 14*o**2 - 3*o**2)*(1 + 2 - 1)*(-1 + 1 + 1). 20*o**2 Expand (-a - a + 4*a)*(-a**2 - a**2 + 0*a**2) - 4*a**2 + 2*a**3 + 4*a**2. -2*a**3 Expand -8*n**3 - 197 + 197 + (-2*n + 0*n + n)*(-n**2 + n**2 - n**2) - 1 + 1 - 2*n**3. -9*n**3 Expand (3*x**4 - 22*x**4 + 3*x**4)*(x + 0*x - 3*x). 32*x**5 Expand 0*t + 0*t + t**4 + (2 - 3 + 3)*(10*t**2 - 8*t**2 + 3*t**4 - 4*t**2). 7*t**4 - 4*t**2 Expand -3 + 3 - j + (0*j + j - 3*j)*(0 + 1 - 3) + (j + 0*j - 4*j)*(-4 + 6 + 2). -9*j Expand ((-21*a + 39*a - 22*a)*(-2 + 0 + 1) + (-3 - 3 + 4)*(2*a - 3*a - a))*(-3*a + 0*a + 2*a). -8*a**2 Expand (7*b + 4*b + b)*(-3 + 2 + 2)*(-2*b**2 - b**2 + 4*b**2) + 2*b**3 - 3*b**3 + 0*b**3. 11*b**3 Expand (-3*d**3 - 10*d**3 + 0*d**3)*(3*d + d - d)*(4 - 4 - 1). 39*d**4 Expand 0*k**2 - 3*k**2 + 2*k**2 + (4*k - 4*k + k)*(5*k + 9*k + 7*k). 20*k**2 Expand (-153*n + 153*n + 17*n**4)*(2 + 1 - 2) - n**3 + n**4 + 0*n**3 + 0*n**4. 18*n**4 - n**3 Expand 0*l**2 - l**2 - l**2 + 2 - 4*l**2 - 2 + l**2 + l**2 + 0*l**2 + (2 - 2 - l**2)*(0 - 2 + 1) - 3*l**2 + 0*l**2 + l**2. -5*l**2 Expand (0*v**2 + 4*v**2 - 2*v**2)*(-v + v + 3*v) + 4*v**3 - v**2 + v**2. 10*v**3 Expand (-4*f + 2*f + f + 0*f + 0*f - 2*f + (-2 + 4 - 4)*(f - f - 2*f))*(2*f - 3*f - 2*f) + 0 - f**2 + 0 + 0 - f**2 + 0 + (-f - 2*f + 5*f)*(3*f - 2*f - 2*f). -7*f**2 Expand 4*g + g - 4*g + (1 + 1 + 0)*(-1 + 2 + 0)*(-2*g + 4 - 4). -3*g Expand (4*l - 4*l - 5*l)*(-2 - 5 + 2) + 2 + 2*l - 2. 27*l Expand (19*z - 17*z + z**4 + 1 - 4*z**4)*(-1 + 2 - 3). 6*z**4 - 4*z - 2 Expand (-5*a - 2*a + 2*a + (2*a + 2*a - 3*a)*(-1 - 3 + 2))*(3*a**3 + 0 + 0). -21*a**4 Expand (0*v + 7*v + v)*(-v**2 + 3*v**2 - 5*v**2). -24*v**3 Expand (-2*x**2 - 2*x**2 + 6*x**2 + 3*x**2 - 2*x**2 - 2*x**2 + (0 + 0 + 1)*(x**2 - 3*x**2 + 0*x**2) + 7*x**2 - 4*x**2 + 3*x**2)*(-4*x + 6 - 6). -20*x**3 Expand (-2*v**3 - v**3 + 4*v**3)*(-3 + 2 + 2) - v**3 - 2*v**3 + v**3 + (-1 - 2 + 5)*(-2*v**3 - 3*v + 3*v). -5*v**3 Expand (-1 - j + 1)*(-3 + 3 + j**3) + 0 + 2*j**4 + 0 + (1 + 1 - 3)*(-j**4 - 3*j**4 + 3*j**4) + 4*j**4 - j**4 + 3*j**4 - j**4 - j**4 + 0*j**4. 6*j**4 Expand 5*l - 2*l**3 - 5*l - l**3 + 2*l**3 - 3*l**3 - l**3 + l**3 + l**3 + (-l - l**3 + l)*(-1 + 3 - 4) + 0*l**3 - l**3 + 3*l**3. l**3 Expand (3*g + 0*g - 2*g - g + 1 - 1 + (3*g + 0*g - g)*(-1 + 0 - 1) + 3*g - 3*g - g)*(1 + 3 + 0)*(1 - 4 + 1). 40*g Expand (25*z**4 - 9*z**4 - 14*z**4 - 4)*((-4 + 6 - 3)*(1 + 3 - 2) + 1 - 1 - 2 - 5 + 4 - 1 + 1 - 2 + 2 + 4 + 1 - 6). -12*z**4 + 24 Expand (w**2 - 6*w**
{ "pile_set_name": "DM Mathematics" }
000004034828 What is 56.32402 micrometers in centimeters? 0.005632402 What is three fifths of a gram in milligrams? 600 What is 41/2 of a year in months? 246 What is 2220.885 millennia in decades? 222088.5 Convert 43959.81m to centimeters. 4395981 How many decades are there in 67371.52 millennia? 6737152 What is 605514.5l in millilitres? 605514500 What is twenty-five halves of a litre in millilitres? 12500 Convert 0.7165578 weeks to nanoseconds. 433374157440000 What is 11010.98 millimeters in kilometers? 0.01101098 How many nanometers are there in 40871.23 kilometers? 40871230000000000 How many millimeters are there in 621.2388 meters? 621238.8 Convert 20.40577 tonnes to grams. 20405770 What is eleven halves of a litre in millilitres? 5500 How many milligrams are there in twenty-one quarters of a gram? 5250 What is 2.1830931 microseconds in days? 0.00000000002526728125 What is 0.9756832 nanograms in grams? 0.0000000009756832 How many minutes are there in twenty-one halves of a hour? 630 How many months are there in 1/6 of a century? 200 How many litres are there in 0.98656 millilitres? 0.00098656 What is 3/5 of a millennium in decades? 60 How many litres are there in 881340.4 millilitres? 881.3404 What is 93.37106 weeks in milliseconds? 56470817088 How many grams are there in 13/4 of a kilogram? 3250 How many micrometers are there in twenty-six fifths of a millimeter? 5200 Convert 49312.6 days to microseconds. 4260608640000000 How many nanoseconds are there in 622.1879 weeks? 376299241920000000 What is eleven halves of a tonne in kilograms? 5500 How many microseconds are there in 369.9975 seconds? 369997500 What is 7/4 of a kilometer in meters? 1750 What is three tenths of a century in decades? 3 Convert 7.173617 grams to micrograms. 7173617 How many kilograms are there in 9.356766t? 9356.766 Convert 424.9084 grams to micrograms. 424908400 What is twenty-five quarters of a litre in millilitres? 6250 What is 27/5 of a day in minutes? 7776 How many litres are there in 291.6938ml? 0.2916938 What is 37/5 of a centimeter in micrometers? 74000 How many millilitres are there in fifty-one fifths of a litre? 10200 Convert 5.704698l to millilitres. 5704.698 Convert 87462.49 litres to millilitres. 87462490 Convert 5.158102 decades to millennia. 0.05158102 How many grams are there in 202.18t? 202180000 How many nanoseconds are there in 7/8 of a microsecond? 875 What is 738370.2 millennia in decades? 73837020 Convert 0.8566641 microseconds to nanoseconds. 856.6641 Convert 278.6042 nanometers to millimeters. 0.0002786042 What is 13/4 of a gram in milligrams? 3250 How many months are there in 7/4 of a year? 21 How many months are there in fourty-five halves of a century? 27000 What is 699.5422ml in litres? 0.6995422 How many grams are there in one quarter of a kilogram? 250 Convert 0.6819548 litres to millilitres. 681.9548 How many millimeters are there in 3/10 of a centimeter? 3 What is six fifths of a millisecond in microseconds? 1200 What is one twentieth of a litre in millilitres? 50 What is 3/25 of a litre in millilitres? 120 What is 32/5 of a litre in millilitres? 6400 What is 51/2 of a centimeter in millimeters? 255 What is 129.4479 days in microseconds? 11184298560000 What is 54200.67nm in micrometers? 54.20067 What is 1/4 of a millennium in decades? 25 What is 1/6 of a day in hours? 4 What is 9.348851 litres in millilitres? 9348.851 Convert 8.912081 hours to minutes. 534.72486 What is 1/4 of a litre in millilitres? 250 What is 131.4378 decades in centuries? 13.14378 Convert 65.83224 millilitres to litres. 0.06583224 Convert 8455.63t to nanograms. 8455630000000000000 What is 5.731389 milligrams in nanograms? 5731389 How many minutes are there in 3/16 of a day? 270 How many meters are there in twenty-one fifths of a kilometer? 4200 Convert 8.640265l to millilitres. 8640.265 Convert 24.645897 months to years. 2.05382475 Convert 88544.35ml to litres. 88.54435 What is 1/5 of a second in milliseconds? 200 How many years are there in 7/2 of a century? 350 How many millimeters are there in 3.02823cm? 30.2823 What is 21/2 of a micrometer in nanometers? 10500 What is 37/5 of a century in years? 740 What is fourty-five halves of a milligram in micrograms? 22500 Convert 2.57572 years to months. 30.90864 How many micrograms are there in 48.52858 kilograms? 48528580000 What is 52921.08kg in micrograms? 52921080000000 How many milligrams are there in 15/4 of a gram? 3750 Convert 24.634416 seconds to minutes. 0.4105736 How many hours are there in 429287.9 days? 10302909.6 What is 735.4116 micrometers in nanometers? 735411.6 How many millilitres are there in 17/4 of a litre? 4250 What is five quarters of a week in minutes? 12600 How many seconds are there in 2/9 of a day? 19200 What is 17/6 of a minute in seconds? 170 How many years are there in 842115.3 decades? 8421153 How many milliseconds are there in 33/5 of a second? 6600 What is 3/10 of a litre in millilitres? 300 What is 80.28273 years in decades? 8.028273 How many months are there in 5/6 of a year? 10 Convert 26.9554km to nanometers. 26955400000000 How many millilitres are there in 6/25 of a litre? 240 What is three fifths of a microgram in nanograms? 600 How many decades are there in thirty-seven fifths of a century? 74 How many micrometers are there in 34/5 of a centimeter? 68000 What is 12/25 of a kilometer in meters? 480 How many millilitres are there in 976.8714l? 976871.4 How many years are there in 3/25 of a millennium? 120 What is 5/6 of a century in months? 1000 What is 0.8291398 nanometers in micrometers? 0.0008291398 How many millimeters are there in 0.6159337cm? 6.159337 What is 925260.8 years in decades? 92526.08 Convert 0.1414265mm to centimeters. 0.01414265 How many days are there in 1269838.08us? 0.0000146972 How many minutes are there in one tenth of a week? 1008 What is 3/25 of a kilogram in grams? 120 What is 9357.762kg in grams? 9357762 What is 7/4 of a decade in months? 210 How many months are there in 17/2 of a year? 102 What is one tenth of a microgram in nanograms? 100 How many centimeters are there in 59.29148m? 5929.148 How many kilograms are there in 0.5056162g? 0.0005056162 How many months are there in twenty-five halves of a century? 15000 What is 96.09855 litres in millilitres? 96098.55 What is 1/10 of a century in years? 10 What is 2/45 of a week in minutes? 448 What is 27/2 of a hour in seconds? 48600 Convert 4.8551ml to litres. 0.0048551 How many millimeters are there in seventeen halves of a meter? 8500 How many minutes are there in 1/30 of a week? 336 How many decades are there in three fifths of a millennium? 60 How many months are there in 795.3184 centuries? 954382.08 What is 463303.8 minutes in hours? 7721.73 How many meters are there in twenty-nine halves of a kilometer? 14500 What is 26/5 of a microsecond in nanoseconds? 5200 How many centuries are there in 6705.6 decades? 670.56 Convert 679.5539ug to grams. 0.0006795539 How many milliseconds are there in three eighths of a second? 375 How many centuries are there in 1/5 of a millennium? 2 How many decades are there in 37/5 of a century? 74 How many millennia are there in 300.6 decades? 3.006 What is 57/5 of a centimeter in millimeters? 114 Convert 35290.65l to millilitres. 35290650 What is one fifth of a millennium in centuries? 2 What is 566.3823mm in centimeters? 56.63823 How many millimeters are there in 3/5 of a centimeter? 6 How many millimeters are there in twenty-nine halves of a meter? 14500 How many millilitres are there in 2/125 of a litre? 16 What is three eighths of a litre in millilitres? 375 How many decades are there in 27.36135 millennia? 2736.135 How many tonnes are there in 43.1068 micrograms? 0.0000000000431068 What is seventeen halves of a litre in millilitres? 8500 What is 3/50 of a meter in centimeters? 6 How many centimeters are there in three eighths of a kilometer? 37500 What is 0.3529137 meters in kilometers? 0.0003529137 Convert 1520818.2 months to centuries. 1267.3485 Convert 95140.54 millilitres to litres. 95.14054 What is 17/9 of a week in minutes? 19040 How many nanograms are there in 34/5 of a microgram? 6800 What is 0.632106ug in tonnes? 0.000000000000632106 What is 3/50 of a ce
{ "pile_set_name": "DM Mathematics" }