z) = -2*z**2 + 6*z + 6. Let u be w(-1). Let a = -50401/16 + 3154. Find the common denominator of a and (-8)/u + (-362)/116.
464
Suppose 205*s = 180*s + 450. What is the lowest common multiple of 45 and s?
90
Let w = -2936/1581 + 60/31. Let f = 268367/27 + -9937. Find the common denominator of f and w.
459
Calculate the lowest common multiple of -10 - ((-396)/3)/11 and 5802.
5802
Let h = -4309/4810 + -2/481. Let g(o) = o**2 - 7*o. Let p be g(6). What is the common denominator of h and (-808)/(-80) + 9/p?
10
Let h(a) = a**3 + 11*a**2 + 9*a + 20. What is the lowest common multiple of (345/46)/(3/12) and h(-10)?
30
Let x(w) = 12*w**2 - w - 1. Calculate the least common multiple of (11 + (-215)/20)*(-32)/((-8)/2) and x(-1).
12
Let j = 41371/10 + -4148. What is the common denominator of (7 - 3) + 1004/(-184) and j?
230
Suppose 0 = -0*s + s - 34. Suppose -s + 14 = -i. Calculate the smallest common multiple of i and 15.
60
Suppose -3*v + 24 = -0*v. Let k(f) = -27*f**3 - 5*f - 4. Let l be k(-2). Let j = l - 220. Calculate the lowest common multiple of v and j.
8
Let m(l) = -2*l**2 + 2*l + 12. Let i be m(-5). Let g = i - -56. Let v(x) = x**3 + 7*x**2 - 11*x - 4. What is the lowest common multiple of v(-8) and g?
40
Let g be -2*6/30*-10. Suppose -5 = 2*c - 5*k, -g*c - c = 5*k - 75. Calculate the least common multiple of 1/3 + (-177)/(-9) and c.
20
Suppose 66 = 4*z - 2*h, -103*h + 108*h = 2*z - 37. Calculate the common denominator of z and (-4)/(-8)*(-118)/8.
8
Let c(o) = -o**2 - 119*o - 832. Calculate the least common multiple of 182 and c(-104).
728
Let g(k) = 11*k**3 - k**2 + k + 9. Let s be g(-6). Let t = 24113/10 + s. Calculate the common denominator of 31/50 and t.
50
Let j = -4 - -11. What is the least common multiple of j and (-114)/(2/(-10) - 255/850)?
1596
Let h = 1009 + -18043/18. Let b = 8824/3411 - 54/379. What is the common denominator of b and h?
18
Let m = -25565/12 - -63821/30. Let b = -160217 + 31082169/194. What is the common denominator of b and m?
1940
What is the common denominator of 68/1695 and (-4)/(-14) + (-15)/(-180) + (-21354)/56952?
1695
Find the common denominator of 15*(-4)/(-90)*378/40 and -89/120.
120
Let o = 25595 - 4146455/162. What is the common denominator of o and (-139)/12 - 7/((-42)/(-4)) - -6?
324
Let r = 2/642697 - -50772415/208233828. Calculate the common denominator of r and 1/486.
972
Suppose 0 = 2*j - 3*h - 10, 2*j + 4*h = 3*j - 10. Calculate the common denominator of 3 - j - 715/90 and 99/80.
720
Suppose -2 - 15 = -5*m - d, -2*d = 5*m - 19. Calculate the common denominator of ((-2)/(-60))/(2/184) and (m + (-180)/55)*(-152)/(-18).
165
Let h(p) = 8*p + 103. Let v be h(-26). Calculate the smallest common multiple of v/(-30)*(-160)/(-14) and 8.
40
What is the least common multiple of 3 and 90*((-156)/(-24) + -6)?
45
Let f(l) = 2*l**2 - l + 5. Let h be f(2). Let r be h - ((-1 - 2) + 0). Suppose 4*s = 2*s + r. Calculate the smallest common multiple of 5 and s.
35
Let y be (120/(-16))/((-3)/6). Suppose 6*p - 1260 = -p. What is the common denominator of (-902)/p + (-9)/y and 31/6?
18
Suppose 3*p + 5*s = 25, 5*s - 3541 = -3546. Calculate the smallest common multiple of p and 2950.
2950
Suppose 6 = h - 3*m, 0 = -4*h - 0*h - m + 24. Suppose -103 = -h*r + 41. Let b = -7 + 19. Calculate the least common multiple of r and b.
24
Let c = 74 - -272. Let h = c + -246. Calculate the least common multiple of 60 and h.
300
Let q = 14/201 + -619/871. Calculate the common denominator of -60 + 64 + ((-422)/(-60))/(-1) and q.
390
Let h = 132301/76 + -1741. Let o = -52352 + 1151673/22. Find the common denominator of o and h.
836
Let c = -34073 - -34083. Calculate the smallest common multiple of c and 420.
420
Let l = -38053 + 1369775/36. Find the common denominator of l and 99/532.
4788
Suppose 5*f - 52 - 8 = 0. Let b = f - -4. Suppose 2*s - 9 = -0*g - g, 3*s + g = 11. Calculate the smallest common multiple of b and s.
16
Let c(x) = 359*x - 24. Let p be c(10). Let k = p + -35701/10. Let q = 10301/10 - 1031. What is the common denominator of k and q?
10
Suppose 0 = 29*x - 3153 + 851 - 1178. Calculate the least common multiple of 230 and x.
2760
Let l be 6/(-3) + (-485)/(-135). Let s = l - -527/432. Let m = -5527/1840 + 22/115. Calculate the common denominator of s and m.
16
Let a(t) = -t**3 - 17*t**2 - 16*t + 19. Let h be a(-14). What is the common denominator of 6/(-30)*42/2 and h/(-50)*(-1 - (-2)/(-6))?
5
Suppose -2776 = 7*g + 1354. What is the least common multiple of 16 and (-34)/(-8) + 1 - g/(-472)?
16
Let c = 5/179 - -10889/1074. Calculate the common denominator of c and (-107)/22 - (-1)/2.
66
Suppose -20*i = -21*i + 535. Let g = i + -521. What is the lowest common multiple of g and 2?
14
Suppose 3*y = -5*i + 1770, -3*y + i - 592 = -4*y. Let r = 1774/3 - y. Calculate the common denominator of r and 8/156*(-51)/(-2).
39
Let f = 155002401/26860 - 98102/17. Calculate the common denominator of f and -91/3476.
17380
Let h(n) = 2*n**2 - 237*n + 3873. What is the least common multiple of h(99) and 986?
5916
Let i = 22727 - 840906/37. Calculate the common denominator of i and 29/148.
148
Suppose 3*b = 12, 0 = -0*m + 5*m - 3*b - 18. Let c be (-21)/1*((-30)/5 + 1). Let i = c + -94. Calculate the smallest common multiple of i and m.
66
What is the common denominator of ((-5524)/(-6496) - 1) + (40/70)/(-2) and 49/432?
12528
Suppose 5*a + 99 = -k + 118, -4*a = 5*k - 200. Suppose 2*c + 64 = 6*c. Calculate the least common multiple of k and c.
176
Let r = -178/17 - -10687/1071. What is the common denominator of -89/15 and r?
315
Let z = -8112 + 178417/22. What is the common denominator of 39/92 and z?
1012
Suppose -3*h = -12, 5*h - 13230 = -5*y + 15275. Let d = 62613/11 - y. Let g = -143201/58156 + -4/2077. Calculate the common denominator of d and g.
308
Let b be ((-26)/(-8))/(29/116). Suppose b*a - 17*a + 4 = 0. What is the smallest common multiple of 33/(-12)*-12*2 and a?
66
Let v(o) = 31*o**2 - 1. Let b be v(1). Let a be 2*(29/(-2) + 3). Let m = b + a. What is the lowest common multiple of 7 and m?
7
Suppose -4*t - 8*q = -316, -207 = -3*t + 162*q - 163*q. Calculate the least common multiple of 5 and t.
335
Let c be 30/2*-1 - -4. Let y be (c - 1)/3*12/(-16). Suppose 18 = x + b, -4*x + b + 72 = y*b. Calculate the lowest common multiple of 18 and x.
18
Let a(l) = l**3 + 12*l**2 + 29*l + 62. What is the lowest common multiple of 78 and a(-6)?
312
Let g be 4257093/920 + 2/(-5). Let q = g - 4636. Calculate the common denominator of -45/8 and q.
8
Let l be 7*1/(-2)*-4. Let w = l + -10. Find the common denominator of ((-35)/42)/(w/(-27)) and 113/6.
24
What is the common denominator of 1/(-4) - ((-93)/8)/((-396)/48) and -79/1456?
16016
Calculate the least common multiple of 812 and (-625)/(-6) - 1445/(-1734).
12180
Let t = 852290801/66 + -12913802. Let d = t + 1859/6. Find the common denominator of d and (-4)/(-14)*11/(11/6).
77
Let w be 3 - ((-303678)/(-10) + (-2)/(-10)). Let n be w/660 + 4 - (-3)/(-9). Let o = -475/11 - n. Calculate the common denominator of 123/40 and o.
440
Suppose -3*y + 4*m - 20 = -62, -5*y = 2*m - 44. Suppose -84 = -y*s + 216. What is the lowest common multiple of 55 and s?
330
Let t = 7724 - 14565. Let x = t - -68331/10. Let c = 8351/1320 - -8/165. What is the common denominator of x and c?
40
Let f = 6988 - 3860. Calculate the lowest common multiple of f and 8.
3128
Let i(s) = -238*s**2 - 2382*s + 7. Let j(r) = -15*r. What is the smallest common multiple of j(-3) and i(-10)?
135
Let z = -3895/3177 - -4/1059. What is the common denominator of z and 89/522?
522
Let z = -10567 - -359327/34. Find the common denominator of -23/114 and z.
1938
Suppose -3*r = a + 37, -4*a - 7 = r - 5*a. Let i(c) = c**3 + 7*c**2 - 42*c + 21. Calculate the common denominator of 4*3*(-2)/4 and i(r).
1
Calculate the least common multiple of 14/(-56)*-28 + 5 and 410.
2460
Suppose -25*z - 1400 + 34700 = 0. Calculate the least common multiple of 333 and z.
1332
Let b = 60 + -57. Calculate the common denominator of b + (10/(-198))/(2/134) and 77/36.
396
Let f(w) = -w**3 + 5*w**2 + 5*w - 4. Suppose 113 = 561*q - 556*q + 4*o, 0 = -3*q + 5*o + 16. What is the lowest common multiple of f(5) and q?
357
Suppose -384*z + 371*z = -117. Suppose -20*j = z*j - 