= 52040269871/2380 - 614909717/28. Let b = -223948 - -128547. Let a = i - b. What is the common denominator of a and -69/10?
170
Find the common denominator of -53/581 and 4/10*22/44 + 6136/(-23205).
29631
Suppose -152*q = -2*k - 151*q + 21, 5*k - 49 = -q. What is the smallest common multiple of k and 9581?
95810
Let n = 238 + -239. What is the smallest common multiple of -5*(2 - (-32)/(-10)) and (26/n)/(-2) + (-5 - -2)?
30
Suppose 4*z = -3*q + 54, -4*z - q + 20 = -30. Let r = -204 + 228. What is the smallest common multiple of z and r?
24
Suppose -3*y = -15, -3*h + 3*y = -2252 - 145. Calculate the smallest common multiple of 4 and h.
804
Suppose -35*u - 9 = -38*u. Suppose -u*g = 7*g - 720. What is the lowest common multiple of 80 and g?
720
Calculate the common denominator of 16/40 - 397/(-20) and 210/280 + (-57)/144.
48
Suppose -9054 = -254*o + 20156. What is the smallest common multiple of o and 5?
115
Let a be 485*2/16 + 120/320. Find the common denominator of -3 + 6 + a/8 and -83/32.
32
Let c = 154 - 140. Suppose 4*j + 13 = -b, b + 5*j + 3 + c = 0. What is the smallest common multiple of (2/2 - -1) + 6 and b?
24
Suppose 37*m + 70 = -14*m + 988. Calculate the lowest common multiple of m and 1104.
3312
Suppose 0 = w + 3*f - 60, -2*f + 62 = 2*w - 54. Suppose -191 = -4*p + w. Let v = p - 52. Calculate the lowest common multiple of 118 and v.
590
Let y = 593 - 345. Let o(u) = 137*u + 157. What is the least common multiple of y and o(-1)?
1240
Let u be (-18)/(-12)*(1/3 + 1). Find the common denominator of 34/11 and (-15)/u*260/429.
11
Let a be ((-15)/(-6))/((-1)/(6/(-3))). Suppose a*v = 3*v - 16. Calculate the lowest common multiple of 8 and -4 + 12 + v/4.
24
Let i = -272553/469832 - -3/5339. Let m = 73181/9792 - 902/153. What is the common denominator of i and m?
704
Let j = -5790 + 46223/8. Find the common denominator of j and 127/1130.
4520
Suppose 4*d + 5*m = 6*m - 11, 4*d - 2*m = -6. What is the lowest common multiple of 2 and -1 + 1 + -134*(-5 - d)?
134
Calculate the common denominator of 41/18 and 11 + (-16 - 22008/(-4374)).
1458
Let f = 1/521 + -25533/2084. Let s = 6465 + -38905/6. Find the common denominator of s and f.
12
Let d(z) = 9*z - 230. Let b be d(39). Suppose -7*l = -b + 58. What is the smallest common multiple of l and 60?
180
Let l = 242 - 354. Let i = 128 + l. What is the smallest common multiple of i and 32?
32
Suppose -3*t = 2*d - 93, 2*t - 4*t = -5*d + 280. What is the common denominator of (-2)/(-24)*(-4824)/d and 43/63?
63
Let i(v) = v**3 - 6*v**2 - 13*v - 13. Let b be i(7). Let g be b*(-313)/(-6) + -1. Let j = 2854 + g. What is the common denominator of j and -61/15?
30
Suppose 5*k + 103 = -m, 9*k + 4*m + 97 = 4*k. What is the least common multiple of (-3957)/k + 36/567*9 and 21?
189
Let r(n) = 136*n**2 + 27*n + 59. Let a be r(-2). Suppose -18*l = 189 - a. Calculate the least common multiple of l and 102.
1020
Suppose 15 + 49 = 16*j. Suppose -12 = -j*l - 8. Calculate the smallest common multiple of 39 and l.
39
Suppose -6*d + 4*o - 34 = -9*d, -d + 3*o = -7. Let n be (21/9 - -2) + (-4)/(-6). What is the lowest common multiple of d and (-3)/(-2 + n) + 7?
30
Let k = 3373 + -2122. What is the lowest common multiple of 973 and k?
8757
Suppose 36*x = 5*c + 38*x - 1462, 0 = -c - 3*x + 282. What is the smallest common multiple of 42 and c?
294
Suppose 4*b + 2*n = 72, -2*b + 15*n - 12*n + 68 = 0. Calculate the smallest common multiple of (6/2)/((-7)/(-14)) and b.
66
Calculate the common denominator of 1145/5240*(4 + -9)*-1 + -1 and -89/4.
1048
Let q = 2052 + -1214. Suppose 4*c + 4*o = 76, -10*o + 71 = 5*c - 13*o. What is the lowest common multiple of c and q?
6704
Suppose 3*s - 43 = q, 26 = -97*s + 99*s + 2*q. Let y = -14 - -21. Calculate the lowest common multiple of y and s.
14
Calculate the common denominator of 91/30 and 110/(-7095)*113/72.
23220
Let v = -70 + 72. Suppose v*u = 5*f - 16, 5*f - 5*u - 7 - 3 = 0. Suppose 4*t - 2 = f*q - 94, -3*q = 3*t - 99. Calculate the smallest common multiple of 5 and q.
140
Suppose f + 0*f = 5*q + 15168, -5*q = -5*f + 75840. Suppose 62*y = 60*y + f. Let h = 250354/33 - y. What is the common denominator of h and -49/15?
165
Suppose 2*d + w = 6*w + 7495, -2*w + 11195 = 3*d. What is the least common multiple of d and 581?
26145
Calculate the common denominator of (-34)/(-255) - 636/5490 and -2/27.
8235
What is the common denominator of ((-568)/95140)/((-14)/(-150)) and 26/5?
2345
Let i = 456/47 - 7259/1034. Suppose -38*b = -47*b + 432. Calculate the common denominator of (-418)/b + 2 - (-1 + 0) and i.
264
Let c(g) = -4*g**2 + 4*g + 2. Let l be 1/2*-4*(-3)/2. Let y be c(l). Calculate the common denominator of ((-101)/y + 2)*(-2)/(-10) and 49/22.
22
Suppose 73*j - 78*j + 5 = 0. What is the common denominator of (-55)/(-12) + 4 + j and -61/60?
60
Let h = 472 + -467. What is the lowest common multiple of 32 and 9 - (-15)/h*11?
672
Calculate the common denominator of (87/(-648))/(28/42) and -119/1584.
1584
Let s be (-4)/(-2) + ((-1132376)/566174)/1. Let q = s - 3275669/1051466. Calculate the common denominator of q and 1/26.
26
Let x(h) = 4*h**2 - 28*h - 168. Calculate the least common multiple of x(-7) and 20.
1120
Let x = -282 + 307. Suppose 0 = 2*z - t + 3 - x, -20 = -3*z - 5*t. What is the smallest common multiple of 100 and z?
100
Let n = 4593 - 4579. Calculate the lowest common multiple of n and 450.
3150
Calculate the smallest common multiple of 1044 and ((-312)/585*87/2)/(1/(-45)).
1044
Suppose v + 22 = -5*l + 3*l, -2*v - 3*l - 39 = 0. Calculate the common denominator of 2/(v/(-711))*16/96 and 33/4.
4
Let v = -235171 - -4233209/18. Find the common denominator of (14/11)/((-6)/5) and v.
198
Let g = 715/23 + -31. What is the common denominator of g and ((54/(-105))/1)/((-3)/42)?
115
Let c(h) = 32*h + 189. Let y be c(-6). What is the common denominator of y + (-106)/24 + (-10)/60 and 52/2*(-2)/20?
60
Let t = -70242 - -70348. Let j(m) = 2*m**2 - 9*m. What is the least common multiple of t and j(6)?
954
Suppose 0 = 4*w - 24, 145 + 23 = 3*h - w. What is the lowest common multiple of h and 4?
116
Let d be -4*3/6 - -106. Find the common denominator of d/(-12) + 1/3 and (9/11)/((-13)/((-624)/(-18))).
33
Let b be 1/(-3) + 178/(-6). Let k(u) = u**3 + 3*u**2 + 6*u - 441. Let x be k(0). Find the common denominator of (x/b)/(27/15) - 3 and 101/18.
18
Suppose 455*x = -159*x + 13508. Suppose 0 = 4*g - 1 - 19, g = -f - 1. Let i = f - -8. Calculate the least common multiple of x and i.
22
Let a = -6/553 + -9341/5530. Calculate the common denominator of a and (3*(-92)/(-384))/1.
160
Let s(b) = -182*b - 3348. What is the lowest common multiple of 9 and s(-25)?
10818
Let i = -328981 - -925752691/2814. What is the common denominator of 83/14 and i?
2814
Let c = 2/7331 - -241909/51317. Let q = -17657/2 - -7876. Let u = -967 - q. What is the common denominator of c and u?
14
Let n(c) = c**3 - 7*c**2 + 10*c + 6. Let w be n(5). What is the least common multiple of 9/11 - w/(-33) and 44?
44
Suppose -56*c + 209 = c - 1387. Let v(s) = s**3 + 7*s**2 - 4*s - 8. What is the lowest common multiple of c and v(-7)?
140
Suppose -13*f - 7518 = -7908. Calculate the smallest common multiple of f and 50.
150
Let v = -119861 - -119930. Let t(a) = -a - 4. Let j = 9 + -16. What is the lowest common multiple of v and t(j)?
69
Suppose 5*g = 20 + 5. Suppose g*n + 140 = -80. Let o = 76 + n. Calculate the least common multiple of o and 14.
224
Suppose 15*n + 106 + 76 = 602. Calculate the smallest common multiple of n and 63.
252
Suppose 0*j + 139446 = 9*j. Let p = 1394387/90 - j. Find the common denominator of p and -34/9.
90
Let f = -5/492 + -4979/246. Let y = 4/219 - 3047/10950. What is the common denominator of y and f?
100
Let x be (-10582)/(-8) - 17/(-68). Suppose 26*j + j = x. Calculate the least common multiple of j and 77.
539
Let k = -7382959/90 + 82032. What is the common denominator of ((-5)/16)/((-15)/(-380)) and k?
180
Let g = 529 - 4756/9. Let c be (-305)/(-33) + (-1)/3. Let q = -7/44 + c. What is the common denominator of q and g?
36
Let p = 8023/9 - 886. Calculate the common denominator of p and (11 - 325/30)/(((-115)/290)/1).
207
Let x = -252047 + 252110. Suppose 4*q - 4*o - 192 = 136, -q + 4*o = -97. What is the 