**3 - 14*v**2 - 14*v - 8. Let z be x(8). Let m(a) = -4*a + 63. What is the least common multiple of 1 and m(z)?
31
Let t = 3822 - 61211/16. Let r(z) = -3078*z - 22. Let a be r(-2). Let w = a - 453889/74. What is the common denominator of w and t?
592
Suppose 4*k = -30*n + 34*n + 36, 27 = 2*k - 5*n. Suppose 8*q + k - 78 = 0. Calculate the least common multiple of q and 27.
27
Suppose -j + o - 3*o = -13, -3*o - 15 = 0. Let d = j + -19. Suppose -d*n + 3 = -1. What is the smallest common multiple of n and 5?
5
Let u(g) = -2*g + 3. Let p be u(2). Let j be (-2 - p)*4 - (-370209)/(-180). Let n = j - -6200/3. Calculate the common denominator of 99/4 and n.
20
Let j = 198211/21 - 9442. What is the common denominator of -59/3069 and j?
21483
What is the common denominator of -2/145 and (-3 + -1*179/(-45))/((-812)/168)?
435
Let y = -2040139/86508 - 2/21627. Let t = y - -59/12. What is the common denominator of -38/5 and t?
15
Let j = -127879/1840 - -1612/23. What is the common denominator of j and (54/(-128))/(1/(8 - 10))?
160
Let x be ((-3)/(-4) - 1)*-4. Let k be 33 - (2 + 7 - 18). Calculate the common denominator of (-1)/(k/(-360)) - x*2 and 13/2.
14
Suppose 2*j + 4*v = -28, 4*j + 3*v + 86 = v. What is the common denominator of 109/10 and 47/j - 56/84?
40
Let c(q) = -2*q**3 - 24*q**2 - 68*q - 12. Calculate the least common multiple of c(-9) and 6.
114
Let r = 1147 + -667. Calculate the smallest common multiple of (-968)/(-363) + 34/3 and r.
3360
Let p = -39887/2 + 61784967/3098. Let b = p - 38733/6196. Find the common denominator of b and -33/4.
4
Let r(x) = x**3 + 4*x**2 + 2*x + 3. Suppose -15 = -8*s + 3*s + 4*q, -2*s + 13 = -3*q. What is the least common multiple of s*(7/(28/8) - 13) and r(-2)?
77
Let k = -207541/10 - -20836. Let s = k - 406/5. Find the common denominator of s and -77/72.
360
Let b = 3/668651 - 31439929/2971485044. What is the common denominator of 13/484 and b?
48884
Let q be ((-33)/(-4))/(1/4). Calculate the smallest common multiple of (-3)/21 + 57/7 and 2/(-6) - (-77)/q.
8
Let t(z) = -52*z - 50*z - 48*z - 82 + 140*z. What is the lowest common multiple of 20 and t(-14)?
580
Let c(w) = -w**2 + 7*w - 28. Let y be c(6). Let k = 30 + y. What is the smallest common multiple of (-11 - -10)/((-2)/92) and k?
184
Let g(r) = -r**3 - 12*r**2 + 2*r + 13. Suppose 0*s - 46 = 3*s + 2*j, s - 5*j = 13. Let f be g(s). What is the common denominator of -133/6 and -1 + 2 + f/6?
6
What is the smallest common multiple of (594/55)/3*5 and 102?
306
Suppose 37 = 15*y - 8. Suppose -y*p - 91 = -3*c + 125, -c + 82 = p. Calculate the least common multiple of c and 63.
693
Suppose -24*t + 84*t - 840 = 0. Suppose -125 = -10*m + 5*m. Suppose -5*u - m = 0, 3*u - 6*u = k - 9. What is the least common multiple of t and k?
168
Let z be 28311/(-70)*11/(-396) - 4. Let a = 112/15 - z. Find the common denominator of a and 59/7.
56
Let d = -1108/48505 + 2/445. Let y = d - -4037/218. Let n = 5144 + -102809/20. What is the common denominator of n and y?
20
Let u = -451726 + 2248586/5. Let z = u - -2001. Find the common denominator of -27/70 and z.
70
Suppose -8 = -m - 109. Suppose -t - 17 = -3*x, -t - 4*x + 13 = -5. Calculate the common denominator of t/(-5) - m/35 and 25/11.
77
Let s = 5418 - 5404. Calculate the least common multiple of s and 1270.
8890
Let x = 33571/3774888 - -46/4033. What is the common denominator of -45/1144 and x?
10296
Calculate the least common multiple of 10258/(-4683) + (-6)/(-7) + 34/3 and (5 - (-1 + 0))*(-175)/(-10).
210
Let t(u) = -u**2 - 6*u - 3. Suppose 28*w + 32 = 30*w. Suppose 3*z + 25 = w. Calculate the least common multiple of t(z) and 20.
60
Let o = 6/347 - 17817/6940. Calculate the common denominator of o and (-15)/(-2)*(-2)/216.
360
Let s = 8 - -13. Let q(h) = 8*h - 53. Let d be q(s). Let x = -109 + d. What is the smallest common multiple of 2 and x?
6
Let q = -781 + 2149. What is the lowest common multiple of 152 and q?
1368
Suppose -3*v = -322 - 569. Let b = -234 + v. What is the least common multiple of 3 and b?
63
Let b be 170145/50 + (-2)/4. Let a = -1768803/520 + b. What is the common denominator of 21/44 and a?
1144
Let m = -5182439 + 17879414393/3450. Calculate the common denominator of 47/1380 and m.
6900
Calculate the lowest common multiple of 9 + (-9 - (-37 + 15)) and 106.
1166
Find the common denominator of 59/12 and (1/2*-101)/(-4*2995/20).
7188
Let w(z) = z**3 + 71*z**2 + 202*z + 254. Calculate the least common multiple of w(-68) and 60.
780
Let n(c) = 122*c**3 + c**2 - 2*c + 3. Let r be n(2). Let a = 4003/4 - r. What is the common denominator of (-56)/(-12)*-15*48/(-180) and a?
12
Let a be (-4)/1 - (5 + -8 + 5). What is the common denominator of 101*a/240*2 and -33/16?
80
Suppose -265*n + 19950 + 17922 = -2*n. What is the least common multiple of 44 and n?
1584
Suppose -27 = -4*g + 3*g - 0*g. What is the least common multiple of 621 and g?
621
Let g = 45871591/20808 + -19841/9. What is the common denominator of -21/2 and g?
2312
Let w be (-3 + 2)*(-13)/(52/(-77817288)). Let f = w - -272216303/14. Let l = 10296 + f. Find the common denominator of 87/16 and l.
112
Let b(c) = -22*c - 22. Let q = -97 + 163. Calculate the lowest common multiple of q and b(-2).
66
Let c(m) = -66*m + 398. Calculate the least common multiple of c(6) and 10.
10
Let z(h) = 2*h - 2. Let j be z(4). Suppose -j = 11*d - 9*d. Calculate the least common multiple of (1 + d)/(3/(-12)) and 56.
56
Let c = 261 + -276. Let g = 1 - -71. Calculate the common denominator of (-5)/c - (-3 - (-465)/g) and -26/7.
56
Suppose 5*u + 2422 = 4*p, 4*u - 8*u = p - 616. What is the smallest common multiple of p and 224?
4256
Suppose 0 = -7*z + 1088 - 5862. Let w = -13731/20 - z. Let l = -1341/2 - -686. What is the common denominator of w and l?
20
Let m = -223/59 + 14609/5192. What is the common denominator of 39/(-8)*(-1)/(-33) and m?
88
Calculate the common denominator of 2678/1254 + 24/(-228) and 3*2/(-27) - 11569/(-828).
132
Let g = 163 - 165. Suppose 0 = -5*r + 27 + 23. What is the smallest common multiple of g - 80*(-3 - (-15)/6) and r?
190
Find the common denominator of -5*752/1560*(-4 - 172/(-40)) and 41/390.
390
Let d = -361723717/2964 + 122039. Find the common denominator of -63/152 and d.
5928
Let f(z) = z**3 + 28*z**2 + 25*z - 49. Let s be f(-27). Suppose -s*d + 18 + 17 = 0. Suppose -6 = -3*t + 2*t. What is the smallest common multiple of t and d?
42
Let t = 14 - 7. Suppose 0 = 2*b - t*b + 260. Calculate the common denominator of 3/(-4) + 1417/b and 32/41.
82
Let t = -486061 - -591050269/1216. Calculate the common denominator of t and -75/44.
13376
Let c = 5402/231 - 4/77. Let t = -1963/84 + c. What is the common denominator of -109/14 and t?
28
Let v = 3157/4 - 802. Let f = 39887/12 - 3333. What is the common denominator of f and v?
12
Let o = 22534565/132 - 170717. Find the common denominator of o and ((-31)/(-57))/(1/2).
2508
Suppose 128 = 3*h + 2*z, z + 222 = 8*h - 3*h. What is the smallest common multiple of 1/((-27)/(-6)) - (-50492)/234 and h?
2376
What is the common denominator of (-9025)/361 + (-1643)/(-66) and 47/628?
20724
Let s = 2882111/60208 - 3406/71. What is the common denominator of -51/16 and s?
848
Suppose 101 = 3*b + 35. Suppose 4*d + b + 10 = 0. What is the lowest common multiple of 6 and (-66)/10*((1 - -2) + d)?
66
Calculate the smallest common multiple of 69 and 2/(-4)*(-1333 + 373).
11040
Let j(v) = -v**2 - 13*v - 9. Let d = 47714 - 47675. What is the least common multiple of d and j(-6)?
429
Let w(v) = 3*v + 21. Let r(a) = a**2 - 10*a - 19. Let o be r(12). Let m be w(o). Suppose 10*g - m = -2*g. What is the least common multiple of g and 2?
6
Let n(f) = f**2 - 12*f + 2. Let g be (-10)/(-8) + 3227/(-28). Let k = g - -153. What is the least common multiple of k and n(13)?
195
Let o = -729/170 + 78/17. Let s(n) = -35*n - 1. Suppose -3 + 1 = 2*b. Find the common denominator of s(b) and o.
10
Suppose 4*j - 4*w - 6167 - 689 = 0, 30 = 5*w. What is the least common multiple of 60 and j?
5160
Let q = 6011951/108 + -55667. Find the common denominator of q and -139/180.
540
Let f = -1826705437/2005 - -911075. Calculate the common denominator of f and -19/25.
10025
Let j(c) = -18*c + 29. Let b be j(14). Let d = 509991/11 - 46586. Let n = d - b. 