pose 0 = x + 2*i + i + 9, -4*x + 5*i = -49. Suppose -359 = x*j - 1103. Let u = -106 + j. Calculate the least common multiple of u and 8.
72
Suppose 0 = 3*x - 15*x + 12. What is the common denominator of (34/(-8))/(0 + -10) and (15 - (-4910)/(-320)) + (x - 0)?
160
Let d = -3160 + 4101679/1298. Let p = d + -6421/89562. Calculate the common denominator of p and 121/6.
138
Suppose 5*s - 3*r + 9 = -12, -2*s + 5*r - 16 = 0. Suppose j + 4*f - 41 = 7*f, j - 59 = -3*f. Calculate the lowest common multiple of s - 84/(-8)*2 and j.
450
Let c = -52/11 - -8. Find the common denominator of c and -13/253.
253
Suppose -113*v + 994 = -88163. Calculate the smallest common multiple of 2367 and v.
2367
Suppose s + 4*s = -5, 4*c - 3*s = 823. Suppose 5*f + 195 = c. Calculate the smallest common multiple of 0/(-4) - (-12 + 0) and f.
12
Let p = -59 + 19. Let y = p - -157. Calculate the smallest common multiple of y and 18.
234
What is the common denominator of (-6)/(-21)*14 - 30/(-16) and (0 + 177/(-36))/6?
72
Calculate the common denominator of ((-261)/30)/((-4)/(-5)) and 67/862.
3448
Let w be (-30)/(-8)*5576/123. Let t = -102 + w. Calculate the smallest common multiple of 36 and t.
612
Calculate the least common multiple of 247 - (9 + -5 + 12) and 33.
231
Suppose 7*i + 7 = w, 0 = 4*w + 5*i + 27 - 88. Calculate the smallest common multiple of w and 1 + 1/(2/54).
28
Suppose -7*d + 8*d + 3*m = 12, -20 = 5*d - m. Calculate the common denominator of (10/8)/(d - 1620/(-672)) and -31/39.
429
Let b = 213749/12 + -17800. What is the common denominator of b and (-30)/(-10)*14/(-180)?
60
What is the common denominator of 55/1269 and (-1945)/(-1050)*-7 + 9?
12690
Find the common denominator of 11 + 824*(-12)/1008 and -83/4398.
30786
Let c = -699 + 705. Suppose -2*b + b = 3, 0 = -2*w + b + 9. What is the least common multiple of w and c?
6
Let u be (-498)/(-26) + 22/(-143). Let r(o) = -18*o**2 + 486*o + 22. What is the smallest common multiple of (-6)/4 - u/(-2) and r(27)?
88
Let a(p) = p**2 + 14*p + 5. Let f be a(-14). Let j(o) = -o + 16. Let i be j(f). Find the common denominator of 2*(-1)/i + (-1941)/(-330) and 71/18.
90
Let q = -483296 + 1020721121/2112. Find the common denominator of q and 29/20.
10560
Let v(y) = -y**3 - 16*y**2 - 12*y - 34. Let x be v(-15). Let z = 73 + x. Calculate the lowest common multiple of 36 and (-135)/(-10)*z/(-9).
36
Let j = 11409/70 + -821/5. Let d = 695 + -703. Find the common denominator of (6/d)/((-201)/(-4690)) and j.
14
Let w = -1341 - -1360. What is the smallest common multiple of 285 and w?
285
Suppose -8*j = -117 - 27. What is the smallest common multiple of j and 24?
72
Suppose 202 = 6*j + 5*k - 639, -5*k + 25 = 0. Calculate the smallest common multiple of 8 and j.
136
Let h = -246334/28419 + 12/9473. Let t be (2/(-28))/((-1)/(-22864)). Let v = t - -1638. What is the common denominator of v and h?
21
Let x = 65405/34 + -1925. What is the common denominator of x and (-188)/(-5)*(-7)/28 + 3?
170
Let h(k) = 2*k**2 + 6*k - 4. Suppose 72*p - 78*p = -12. Calculate the least common multiple of 104 and h(p).
208
Let u = -200014 + 297020738/1485. What is the common denominator of u and 11/270?
2970
Suppose 2*o - 17 + 1 = 0. Suppose s + 21*s - 528 = 0. Suppose 0 = 24*y - 18*y - s. Calculate the least common multiple of o and y.
8
Let y = -119 + 128. Suppose -y = 3*l + 6, q + 5*l + 38 = 0. What is the lowest common multiple of (-210)/q + 26/(-169) and 44?
176
Suppose -9 = -m - 0*m. What is the smallest common multiple of 102/2 - (-10 + 19) and m?
126
Suppose 25*p + 36 = 29*p. What is the smallest common multiple of 35 and (-7)/(((-18)/16)/p)?
280
Let f = -268 + 272. Calculate the smallest common multiple of (1 - f) + (-11 - -42) and 8.
56
Let z(i) = -i**3 - 15*i**2 + 23*i - 12. Let j be z(-17). Find the common denominator of 17/10 and 205/2*(882/j - 5).
10
Let d be (-6 - (5 + -2)) + 4. Let b be d + 5 + (-940)/18. Let s = b + 460/9. Find the common denominator of s and -59/3.
9
Let g = -4850 + 5114. Calculate the smallest common multiple of g and 48.
528
Let j = 419 + -8807/21. Suppose n = 3581 - 275. Let c = n + -26405/8. What is the common denominator of j and c?
168
Let q(m) = -3486*m**3 + 7*m**2 + m - 8. What is the lowest common multiple of 16 and q(-1)?
13936
Let z = -12275 + 12285. What is the smallest common multiple of z and 194?
970
Let g = 8/333 + -3949/2664. Suppose -2*m + 3*j + 0 = 69, 4*j - 12 = 0. Find the common denominator of g and ((-106)/(-28))/(m/(-35)).
24
Find the common denominator of ((-2379)/252 + 0 - -3) + 5 and 4/77.
924
What is the common denominator of 71/135 and (-18567)/(-5940) + 1 + -4?
5940
What is the smallest common multiple of 40 and 11722/12 + 195/(-234)?
4880
Let l = -41 - -41. Suppose 27*z - 90 - 180 = l. What is the smallest common multiple of 22 and z?
110
Suppose 4*b - 28 = -4*q - 0*q, 4*q - 5*b + 17 = 0. Let u be 4/q + 17423/23902. Let d = 33/629 - u. Calculate the common denominator of d and -29/7.
238
Let b = -26763 + 38245. Calculate the lowest common multiple of 10 and b.
57410
Suppose -10*c + 9 = -7*c. Let p be (-3 + 7)/(c/174). What is the lowest common multiple of 3 and (-5)/(30/(-4)) + p/12?
60
Suppose -3*x - 315 - 1430 = -4*c - 289, 0 = 2*x. What is the smallest common multiple of c and 39?
1092
Let b = -383 - -443. Find the common denominator of 1160/b + 0 + -3 and 97/36.
36
Suppose -60 = -a + 4*d, 45*a + 420 = 50*a + 4*d. Calculate the smallest common multiple of a and 216.
2160
Let i = -13114 + 419711/32. Calculate the common denominator of i and (-6)/160*(3 - 337/(-6)).
32
Let u be 18 + -7 + -1 + 3. Suppose 3*r - u + 1 = 0. What is the least common multiple of r and (-4)/(-6) + 248/24?
44
Suppose 0 = -5*i + p - 14 + 112, 3*i = -4*p + 68. Calculate the smallest common multiple of 20 and i.
20
Let n(j) = -j**2 + 7*j + 12. Let k be n(8). Suppose g + f = 10, -k*f = 4*g - 3*f - 28. Suppose 25*m = 22*m + g. What is the lowest common multiple of 8 and m?
8
Let y = -69084 - -3315913/48. Let k = -62996 - -5543705/88. What is the common denominator of y and k?
528
Calculate the smallest common multiple of (-390260)/(-912) - (-2)/24 - 0 and 2.
428
Let a be (-11)/(99/54)*-15. Calculate the common denominator of (1/10)/((-24)/1030) and (-23)/(-69) - (-2 - 429/a).
120
What is the smallest common multiple of (1224/40 + (-2)/(-5))*(-26)/(-13) and 322?
9982
Let h(g) = 170 + 5*g + 125 - 390. What is the smallest common multiple of 9 + 1/((-2)/6) and h(22)?
30
Let b(n) = 28*n**2 - n + 4. Let p(g) = -18360*g + 2. What is the smallest common multiple of b(4) and p(0)?
448
Let b(m) = 26*m - 1316. What is the lowest common multiple of b(51) and 4088?
20440
Let a = 254323/166704 - 245/151. What is the common denominator of a and -85/2024?
12144
Let c(q) = q**3 + 49*q**2 - 157*q + 56. Calculate the smallest common multiple of c(-52) and 1296.
1296
Let w = 11333 + -9821. What is the least common multiple of 432 and w?
3024
Calculate the smallest common multiple of 544 and ((-576)/45)/((-18)/45).
544
Let o = 512 + -4053/8. Calculate the common denominator of 2/3*(-4)/12*(2 + 9) and o.
72
Suppose 22386 = -203*q + 115*q + 127*q. What is the least common multiple of q and 738?
5166
Let o = -8127727/3095 - 21/1238. Let h = o - -2624. What is the common denominator of (-1 - -2) + (-15)/4 and h?
20
Let x = 80 + -150. Calculate the smallest common multiple of 250 and 265/212 - x/8.
250
Suppose -15*p + 7164 + 3912 = 2436. Calculate the least common multiple of 1440 and p.
2880
Suppose -4*r + 105 = 5*w, -10*w + 13*w + 85 = 5*r. Calculate the smallest common multiple of r and 3542.
35420
Calculate the lowest common multiple of ((-12 - -10) + -782)*(0 - 4) and 16.
3136
Let f be 327/(-636) - 6/(-24). Let l = 539/636 + f. What is the common denominator of l and 1770/(-208) + -1*(-23 - -15)?
312
Let q be 12/(-18)*131172/80. Let i = -4383/4 - q. Calculate the common denominator of i and ((-9)/(-90))/((-7)/58).
140
Suppose -1226 = -16*w + 598. Suppose -w = 4*a - 378. Calculate the least common multiple of a and 11.
66
Let z = 121 + 81. Suppose 6*s - 86 = z. What is the least common multiple of s and 21?
336
Let x = -212/15 - -2399/180. Let f = -9/4 - x. What is the common denominator of f and -45/4?
36
Calculate the lowest common m