Find the common denominator of -123/20 and (-1)/(-22)*(z + -6).
220
Let c = 10060 + -60229/6. Calculate the common denominator of c and 23/12.
12
What is the common denominator of 228/(-24)*((-36)/(-80))/(-9) and -99/8?
40
Suppose -2*w - 325 = -7*w. Let t = w - 45. What is the common denominator of 11/(-33)*(-123)/t and 41/14?
140
Let v(t) = -t**2 + 13*t + 15. Let k be v(12). What is the lowest common multiple of (-2 + 3)/(3/k) and 6?
18
Suppose 102471 - 21911 = 20*g. Calculate the lowest common multiple of g and 22.
44308
Let s(d) = -d - 29. Let u be s(-5). Find the common denominator of -2 + 0 + 22 + 4/u and -85/14.
42
Let s = -1108/9 - -12143/99. Calculate the common denominator of 40/9 and s.
99
Let y(a) = a**2 - 2*a - 2. Let i be y(3). Let m(x) = -x**2 + 9*x - 1. Let v be m(9). Find the common denominator of v - i - (-57)/(-66) and 57/2.
22
Let b = 222488875/6294 - 106048/3. Find the common denominator of b and 65/22.
23078
Let c be (52588/(-30))/((-4)/6). Let v(f) = 296*f + 45. Let z be v(-9). Let m = c + z. Calculate the common denominator of 41/3 and m.
15
Let m be (326/(-4))/(30/477). Let q = -1299 - m. What is the common denominator of q and -33/10?
20
Let q(r) = 27*r**2 + r - 5. Let x be q(2). Let j = -91 + x. Calculate the smallest common multiple of j and 10.
70
Let z = 1/3392 + 140767/3392. Suppose -932 = 3*l + 541. Let c = 4414/9 + l. What is the common denominator of c and z?
18
Suppose 2*i = 6 + 6. Let m be (299 - 8)*20/(-4). What is the common denominator of -69/16 and ((-4)/i)/(200/m)?
80
Suppose 3*l + 0*l - 63 = -3*m, -m = 5*l - 85. Let t = l - 17. Calculate the common denominator of -1 + t/((-5)/46) and 18.
5
Let i(l) = 99*l - 113. Calculate the smallest common multiple of i(3) and 230.
920
Suppose -89 + 49 = -2*f. What is the smallest common multiple of 146 and f?
1460
Let c(h) = -h**3 - h + 395. Let g be c(0). Let y = -3149/8 + g. What is the common denominator of 79/24 and y?
24
Suppose 5*s - s = u - 10, 5*u = -5*s. Let j(a) = -6*a. What is the lowest common multiple of 16 and j(s)?
48
Let z = -91/510 + -679/510. Calculate the common denominator of z and -70/9.
153
Suppose -5*p = 4*u + 74, 0*p = -u + 3*p - 10. What is the common denominator of (-2)/20*(-4 - -1) and ((-138)/(-26))/(24/u)?
130
What is the smallest common multiple of 3/(((-1)/18)/(7/(-14))) and 69?
621
Suppose -2*p + p = -9602. Let c = 115345/12 - p. What is the common denominator of 6/(-8)*(-976)/(-264) and c?
132
Suppose 4*j = -2*m + j + 42, 4*m - 5*j - 62 = 0. Let t(x) = x**3 + 5*x**2. Let h be t(-4). What is the least common multiple of m and -24*(-1)/(-1)*(-12)/h?
18
Let t(f) = 2*f**2 - 62*f - 56. What is the least common multiple of t(32) and 36?
72
What is the common denominator of 301/80 - ((-186)/(-30) + -6) and -109/108?
432
What is the common denominator of 47/20 and 225/(-3402) - 1 - 2/(-2)?
3780
Calculate the smallest common multiple of (-1)/((5/(-14))/5) and ((-7)/21)/(4/360*-3).
70
Find the common denominator of 2/468*1021 + -5 and 67/234.
234
Find the common denominator of -2 - ((-27)/(-21))/(30/21) and 19/50.
50
Let y = -54159271/952 + 56890. Calculate the common denominator of y and 89/14.
952
Calculate the common denominator of 29/264 and 12/(-48)*(-968)/(-80).
1320
Let v = -949/8 + 79673/672. Let i = v - -2/21. What is the common denominator of -53/20 and i?
160
Calculate the lowest common multiple of (-1 + (-3)/4)/((-12)/48) and 11.
77
Let v = -53/244 - 2/61. Calculate the common denominator of 29/212 and v.
212
Let d be 0 - 6/3 - -57. Find the common denominator of -103/10 and d/50*(-4)/8.
20
Let d(v) = v**3 + 6*v**2 + 3*v - 2. Let f be d(-5). Let y = f + 0. What is the lowest common multiple of 5 - ((-14)/4 - 1/(-2)) and y?
8
Suppose 5*q = 5, -4*h + 8772 = 3*q - 91. Let i = 4329/2 - h. Find the common denominator of i and 14/105 + 1234/(-180).
18
Let s = -557 - -620. What is the least common multiple of 9 and s?
63
Let p(v) = v**2 - 1. Let i be p(3). Find the common denominator of 2/i + (-559)/(-208) and -13/110.
880
Suppose -19 = 4*j - 3, 2*q - 5*j = 20. Suppose -5*c + 5*o = -q*c - 25, -4*o + 10 = 2*c. Suppose 3*f = c + 7. What is the lowest common multiple of f and 9?
36
Let r(t) = 26*t**3 + 2*t**2 - t. Let a be r(1). Let o = a + -7. Let u = -1 - -7. What is the least common multiple of u and o?
60
Let h = -7627/558 - -1/558. Let p = 1/1157 - 43973/8099. Calculate the common denominator of p and h.
21
Suppose -73 = -2*o - 53. Calculate the least common multiple of o and 6.
30
Let h(l) = -l**2 - 3*l + 8. Let j be h(-6). What is the smallest common multiple of 4 and ((-32)/j)/((-3)/(-15))?
16
Let g(f) = -325*f**3 + f**2 - f + 1. Let q be g(1). Let p = 433/16 + -43/2. Calculate the common denominator of ((-27)/q)/(1/(-7)) and p.
48
Let z = -878/11 - -4183/44. What is the common denominator of z and 17/6?
12
Let y be 887746/(-4)*143/(-55). Let x = 577767 - y. Let o = 731 - x. What is the common denominator of -125/18 and o?
90
Let r = -11/947 + 109103/17046. Find the common denominator of 83/212 and r.
1908
Let u be (1124/(-40))/(2 + 102/(-15)). Let h = -3/16 + u. What is the common denominator of h and 67/267?
267
Let x(n) = -13*n + 5. Let r(y) = 26*y - 11. Let d(v) = -3*r(v) - 5*x(v). Let l be d(8). Let q = l + 862/9. Calculate the common denominator of 23/5 and q.
45
Calculate the common denominator of 3/((-588)/(-850)) + 0 + -4 and 81/14.
98
Let b = 12 - 8. Let r = -119 - -167. What is the least common multiple of 231/24 - (-18)/r and b?
20
Let g(k) = 8*k + 25. Let c be g(-3). Calculate the common denominator of 214/(-12) - -2*c/6 and 33/2.
2
Suppose 2*j - 9 = j - 4*m, 2*j - 5*m - 18 = 0. Let k = 3581 + -3574. Calculate the smallest common multiple of j and k.
63
Suppose -h - 10 = -3*b, 4*b - 2*h = 5 + 11. Calculate the least common multiple of b and (-8)/(8/(-9)) + 3.
12
Let w = 212 - 2328/11. Let f = -2/1753 - -101680/5259. Calculate the common denominator of w and f.
33
Let t(s) = -s**2 + 12*s + 31. Suppose 26*q + 52 = 27*q. What is the lowest common multiple of t(13) and q?
468
Let v = -2324/5 + 471. Let s = 257/10 - v. What is the common denominator of s and (-1)/10 + (-1)/(-4)?
20
Suppose -40*j = -39*j - 22. Let b = -27 + 172. Suppose -4*g + 137 = 5*r, 3*r - 4*r + b = 5*g. What is the smallest common multiple of j and g?
308
Suppose 0 = -3*n + 2*n - 12. Let z = n - -12. Suppose -3*j + 8*j - 35 = z. Calculate the lowest common multiple of 6 and j.
42
Let x = -72 - -83. Suppose -4*a - i = -4*i + 5, 5*a - x = -2*i. Calculate the smallest common multiple of a and 66.
66
Let s = 922081 - 8278153/9. Let r = s + -2282. Find the common denominator of r and -10/11.
99
Find the common denominator of 109/6 and ((-8)/(-22428)*249)/((-52)/(-39)).
3738
Let x(a) = 4*a + 178. Calculate the smallest common multiple of 60 and x(-34).
420
Let o = -194 + 208. What is the lowest common multiple of o and 16?
112
What is the common denominator of 75/4 and ((-77)/132)/((-1)/(-10))?
12
Find the common denominator of -55/192 and 474/108 + 0/((-4)/(-2)).
576
Let h be (-5)/(-3)*(-16 + 1480). What is the common denominator of -15/14 and 6/(-4)*(h/(-855))/(-8)?
798
Let w be (139 - -1)*4/(-8). Let k(z) = -z**3 - 3*z**2 - z - 1. Let a be k(-2). What is the common denominator of -91/22 and (101/a)/(w/(-21))?
110
Suppose i - 4*r - 16 = 0, -5*i - 3*r - 6 = -17. Let y(n) = n + 6. Calculate the least common multiple of y(i) and 20.
20
What is the least common multiple of (4/(-6))/((-43)/15867) and 410?
1230
Let q = -14 - -23. Let r(b) = b. Let g be r(5). Let k(l) = -l**2 + 7*l - 1. Calculate the lowest common multiple of q and k(g).
9
What is the common denominator of 29/24 and -4*5/((-960)/138)?
24
Let p = 13 - 10. Let v be -2 - (2 - (p - 1)). Calculate the common denominator of (-415)/v*(-2)/(-40) and 81/14.
56
Let n = -4727/904 + 40/113. Calculate the common denominator of n and 4/((-180)/(-305))*-3.
24
Let z(j) = 11 + j + 14 + 0*j. Calculate the least common multiple of 7 and z(-10).
105
Let j(b) = b**2 + 6*b + 17. Let r = 5 + -12. What is the lowest common multiple of 9 and j(r)?
72
Let d = -147045/22 - -6685. Suppose -2*w - 14 = -0. Find the common denominator of d and (-18)/40 + (-10 - w).
220
Let k(q) = -2*q + 6. Let o be k(4). Find the common denom