o - -90/479. Let r = 2543/24 + -801/8. Calculate the common denominator of r and a.
60
Calculate the common denominator of -91/150 and 0/2 - 13/((-22815)/153).
1950
Let q = -179 - -356. What is the least common multiple of q and 18?
1062
Let i = 141 + -145. Calculate the common denominator of (6 + 86/36)*(-6)/i and 71/8.
24
Let y = -12/469 + -48067/9380. What is the common denominator of y and 24/9 + -2 - (-2224)/(-576)?
180
Let a(m) = 7*m**2 + 1 + 5*m - 4*m + 2*m + m**3. What is the common denominator of a(-6) and 1/(-2)*(-1)/(-4)?
8
Find the common denominator of -67/10 and ((-581)/(-7))/(-10 - 0).
10
Let l = -13 - -28. What is the lowest common multiple of l and 11?
165
Suppose -x + 30 = 4*x. Find the common denominator of 19/12 and x/10 - (-5 + (-2517)/(-420)).
84
Let f = -317/741 + -2/247. Find the common denominator of 67/30 and f.
390
Suppose -15 = 3*d, 34 = s + 2*s - 5*d. Suppose s*g - 4 = 5. Calculate the least common multiple of 3*((-4)/6 - -2) and g.
12
Find the common denominator of (1086/(-204) + 3)*-1 and (-43)/12 + (-1)/3.
204
Let v be 12*(-2 - (-15)/6). Calculate the common denominator of -23/6 and (-8)/v - 235/(-30).
6
Let m = 1714/27 + -18938/297. Find the common denominator of m and -101/54.
594
Suppose t - 3*c - 8 = 0, -3*c = -3*t - 6*c + 72. Suppose -21*o = -26*o + t. Calculate the least common multiple of 28 and o.
28
Let w = -124 + 164. What is the common denominator of 137/6 and (-5)/(w/(-12)) + 24?
6
Suppose 7*f = 23 + 33. Calculate the least common multiple of 2 and f.
8
Let z be (-10)/(-4)*8/5. Suppose 4*s + 5*b + z = 0, 0*b = 2*s + 2*b. Let h(k) = -2*k + 14. Calculate the lowest common multiple of h(0) and s.
28
Let v = -1679 - -33637/20. Let a = 1849 - 36941/20. Calculate the common denominator of a and v.
20
Let k(n) = 2*n + 84. Calculate the smallest common multiple of k(-10) and 4.
64
Let y(h) = -h**2 - h + 1. Let g(p) = 6*p**2 + 8*p - 6. Let r(n) = 2*g(n) + 10*y(n). What is the lowest common multiple of r(-4) and 52?
156
Let x(k) = -k**3 - 3*k**2 + 7*k + 15. Let u be x(-7). Let m = u + -66. Suppose m = -6*h + 10*h. What is the smallest common multiple of h and 18?
72
Let x = -5 - 10. Find the common denominator of -56/9 and ((-175)/x - 4)/((-4)/6).
18
Suppose -z + 114 - 112 = 0. Let l(j) = j**3 + 3*j**2 - 8*j + 3. Let o = 1 + 2. What is the least common multiple of o and l(z)?
21
Let l = -37 + 45. Calculate the least common multiple of 39 and l.
312
Let q = 67 + -65. Calculate the smallest common multiple of 8 and q/(-7) + (-1560)/(-168).
72
Find the common denominator of (9 + 143/22)/(8/1) and -91/64.
64
Calculate the common denominator of (1/(-5))/((-13)/((-16432)/(-144))) and -88/105.
315
Let h = -8/5 - 109/10. Let t be 0/(3 - 2) + 51. Find the common denominator of h and 1/(t/58 + -1).
14
Calculate the least common multiple of 28 and 1/(6 - (-1578)/(-264)).
308
Let m = 7 - 5. Suppose 0 = 3*q + m*q - 110. Suppose -11*x + 3*x = -112. Calculate the smallest common multiple of x and q.
154
Suppose 4*j = 5*b + 177, 0 = 18*b - 21*b + 5*j - 114. Let a = b + 136/3. Calculate the common denominator of a and 23/10.
30
Let q(m) = -m**2 + 10*m + 15. Let f = 45 - 57. Let o = f + 23. Calculate the least common multiple of o and q(11).
44
Let j(g) = -g**3 - 23*g**2 - 23*g + 12. Suppose -s + 4*f = 6, s + 2*f + 0*f - 18 = 0. Calculate the smallest common multiple of s and j(-22).
170
Let d = -1911 + 5672/3. Find the common denominator of d and 1/((-4)/18 + (-242)/(-522)).
21
Let a = -86476/98483 - -60/1279. What is the common denominator of -45/49 and a?
539
Let h = -457 + 483. Calculate the smallest common multiple of 117 and h.
234
Let z be (2/1064)/1 - 0. Let p = z - -26865/532. What is the common denominator of p and 17/42?
42
Calculate the common denominator of 240/(-35)*(-8)/176 and 79/33.
231
Let y = -8 - -9. Let g be (y - 0) + 0 + 1. Suppose -g*h + 66 = h. What is the smallest common multiple of 16 and h?
176
Let i = -1/475 + 11878/1425. Let g = -3/7843 + 10390/6658707. Let s = g - -22916/5943. Calculate the common denominator of s and i.
21
Let h = -73663/8806 + 5/629. Calculate the common denominator of -77/94 and h.
658
Suppose -6*v - 3 = -27. Let k = 10 + 6. What is the least common multiple of v and k?
16
Let b be (-56)/6*(176 + 1). Let o = 4909/3 + b. Let v = -1300/11 + 12316/99. What is the common denominator of v and o?
9
Let q = -1/1391 - -40355/22256. What is the common denominator of 55/366 and q?
2928
Let j be 2/12*(208/(-31) + 7). Let w = j - 71/186. Find the common denominator of w and -6/5.
15
Let k = -10 + 5. Let v be (2 + -1)/(k - 10). Let t = v + -83/15. Find the common denominator of t and -17/5.
5
Let g = 135655/2 + -9221707/136. Let j = g + -539/17. Calculate the common denominator of j and 7/8.
8
Let s = -10 + -310. Let w = -219 - s. Find the common denominator of (-27)/(-18)*w/66 and 15/8.
88
Let y = -41 - -39. Calculate the common denominator of y + 0 + (-52)/8 and 4/(-18) - 1484/(-360).
10
Let p = 248651/224 + -7764/7. Find the common denominator of -17/4 and p.
32
Let w = 1/1739 + 19073/97384. What is the common denominator of w and 97/112?
112
Let f = 1 + 4. Let j(n) = n**3 - 22*n**2 - n + 23. Suppose -4*h + 54 = 3*q, -10 + 39 = 2*q + 5*h. What is the least common multiple of j(q) and f?
5
Let j be 44/5 - (-10)/50. Let a(b) = -b**2 + 8*b + 18. What is the smallest common multiple of 60 and a(j)?
180
Calculate the common denominator of -65/8 and (-17)/(-238) + (-475)/819.
936
Let y(d) = -d**3 - 13*d**2 - 22*d - 13. Let h be y(-11). Let r(x) = -2*x - 24. Calculate the lowest common multiple of r(h) and 4.
4
Let z = 246 + -159. Calculate the smallest common multiple of 42 and z.
1218
Suppose -4*c = 15 + 9. Find the common denominator of 47/11 and (-94)/c + (-4)/(-12).
11
Let v(u) = -14*u. Let y be v(1). Let w = y - -15. Let k(h) = 3*h**2 + 2*h. What is the least common multiple of k(-2) and w?
8
Let p = 52 + -88. What is the least common multiple of (-35 - p)/(2/12) and ((-6)/5)/(2/(-10))?
6
Let r(z) = -3*z - 42. Let j be r(-15). Suppose 3*q + 5*i - 17 = 0, -12 + j = -2*q - i. Calculate the lowest common multiple of 48 and q.
48
Suppose -2*h = -2 - 6. Suppose h*d - 192 + 80 = 0. Calculate the least common multiple of d and 11.
308
Suppose 531 = -31*y + 3693. What is the smallest common multiple of y and 12?
204
Let z(m) = 5*m**2 + 1. Suppose 3 = 4*g - t, 3 = g - 3*g + 5*t. Calculate the least common multiple of z(1) and ((-20)/(-7))/(g/7).
60
Let p(s) = -7*s**3 + 2*s**2 + s. Suppose 16*t = 77 + 3. Calculate the lowest common multiple of t and p(-1).
40
Let s be -5 + (-63)/(-12) - (-289931)/(-52). Let d = s + 5578. Calculate the common denominator of 21/10 and d.
130
Let m = 7763 + -16271/2. Let r = -349 - m. Let c = 2103 - 46293/22. Find the common denominator of r and c.
22
Let f(p) = p**2 + 7*p - 12. Let c be f(-6). What is the common denominator of 81/8 and (6 + -1 + -22)/c?
72
Let k be 1*(-6)/(6/(-3)). Suppose -2*m - k*m - 5*g + 50 = 0, 0 = -3*g - 12. What is the smallest common multiple of m and 22?
154
Let f = 139 - 117. Calculate the least common multiple of f and 18.
198
Let y(r) = r + 10. Let a be y(-6). Let j be a/6 - 16/(-3). What is the common denominator of -31/11 and j/(-1) + 4/32?
88
Let l(p) = p - 17. Let b be l(11). Let x = 479/288 + 25/32. What is the common denominator of b/21 + (-638)/(-126) and x?
9
Find the common denominator of 65/24 and ((-1)/(-28))/((-12)/(-469)).
48
Let g = 12 + -8. Suppose 2*s + s = 5*y - 98, 3*y - g*s - 50 = 0. Suppose 64 = -2*v + 6*v. What is the lowest common multiple of v and y?
176
Let x be ((-2)/4)/((-5)/210). Suppose -51 = -t + x. What is the common denominator of 25/18 and (t + -10)*6/80?
180
Let m = 3 - -3. Suppose -4*b - 5*x - 1 = -7*b, 2*x - 43 = -5*b. Let h = m + b. What is the lowest common multiple of h and 10?
130
Let m = -521 - -653. Calculate the least common multiple of m and 96.
1056
Let w = 5575/6 - 953. Find the common denominator of w and 208/(-3)*(-1)/12.
18
Let k(j) = 2*j**2 + 22*j + 55. Let i(p) = p**3 - p**2 + p + 1. What is the smallest common multiple of i(2) and k(-8)?
7
Calculate the common denominator of -49/30 and 254/(-560) + 8/(-14).
120
Suppose -3*h + 2*l = 5, -2*l + 0 + 11 = 3*h. What is the least common mult