5/8 + -1188. Let j be 19498 - ((-112)/24 - 2/(-3)). Let w = -351163/18 + j. What is the common denominator of w and h?
72
Suppose m + r + 44 = 0, 0 = -2*m - 0*r + 2*r - 108. Let t be (-4697)/m + (-1)/(-7). Calculate the common denominator of (-6)/(-8) - (-1816)/t and -82/15.
15
Let y = -25487/16 + 1594. Find the common denominator of y and (21825/13580)/(2/20) - 20.
112
Let y = -478 - -487. Find the common denominator of -4 - (-753)/54 - y and -9/28.
252
Let p = 9 + 5. Suppose p*q - 9*q = -840. Find the common denominator of -30/11 and 876/q - (-2)/4.
77
Suppose -2 = 5*n - 12. Suppose n*l = 2*k - 36, l - 88 = -4*k - 3*l. Calculate the least common multiple of (-4)/6 + 168/9 and k.
180
Let v = -44764/21 - -2134. What is the common denominator of v and 2/22 + 4172/693 - (2 - 4)?
63
Let u = -37169059/324 + 344159/3. What is the common denominator of u and -79/18?
324
Suppose -3*g - 2*q = -426, 0 = -g - 28*q + 29*q + 147. What is the least common multiple of g and 144?
144
Suppose -37*p + 5535 = -1209 - 138. What is the lowest common multiple of p and 33?
2046
Let z = -6 - -12. Let l = -210 + 195. Let y(q) = q**3 + 14*q**2 - 18*q - 23. What is the least common multiple of y(l) and z?
66
Suppose -s = 5 - 11. What is the smallest common multiple of (-90)/(-2) - 0/(-4 + 5) and s?
90
Let z = -24 - -42. Let d = -1377 - -1369. Find the common denominator of z and (-201)/(-108) + 6/d + 2.
9
Suppose i = -2*i + 9. Suppose -t + 14 = -0*t + 2*l, 0 = -i*t - 2*l + 26. Suppose 3290 = 73*y - 1820. Calculate the lowest common multiple of t and y.
210
Let p(b) = b**3 + 21*b**2 + 21*b + 27. Let x = 45 - 65. Calculate the lowest common multiple of p(x) and 3.
21
Let q = -2/9 + 64/261. Let c = -133/2001 + q. Calculate the common denominator of 71/3 and c.
69
Suppose 2*n - 420 = -3*n. Suppose 16*b = 13*b - n. Find the common denominator of 31/2 and (-2)/((-16)/(-28))*60/b.
2
Let h(m) = 21*m**2 + 38*m + 207. Let j be h(-5). Let r = j + -519. Calculate the least common multiple of r and 10.
230
Let i be -4 + -3*335/(-9). Let b = i + -105. Find the common denominator of (-78)/1392 - 7/(-56) and b.
87
Let w(l) = -169*l + 7. Let h be w(-6). Suppose 7*p = -4*t + 4*p - 2107, -5*p = -2*t - h. Let j = 6239/12 + t. Calculate the common denominator of -3/28 and j.
84
What is the lowest common multiple of (-2847)/(-27) - ((5 - 665/63) + 6) and 75?
525
Let b = -3870/19 - -63459/304. Calculate the common denominator of 47/4160 and b.
4160
Let k = 49469/33780 - -5/2252. Find the common denominator of k and -109/30.
30
Let g(w) = -205*w + 90. Let p be g(-11). Let l = 23517/10 - p. What is the common denominator of 29/34 and l?
170
Let g(f) = -f**3 + 8*f**2 - 13*f + 8. Suppose -60 = -11*n + 6. Calculate the smallest common multiple of g(n) and 96.
96
Suppose -22*b + 11172 = 6*b. Suppose 4*d + b = 411. What is the least common multiple of d and 102?
102
What is the common denominator of -85/1287 and (-11)/66 - (-20)/(-5265)*12?
7722
Let l(c) = -2*c**3 - 19*c**2 + 10*c + 14. Let m be l(-10). Suppose 20 = -5*b, -5*k + 13*b = m*b - 16. What is the least common multiple of 2 and k?
4
Let d = -3 + 21. Calculate the common denominator of 9/20 and 204/187*d/(-16).
220
Let n = 303801/62660 - -5/3133. Let b = -416613/648130 + -3/46295. Find the common denominator of n and b.
140
Let w = -20 + 50. Let p(o) = o**2 + 35*o - 99. Calculate the least common multiple of w and p(3).
30
Suppose 83*j - 983 = 843. Calculate the lowest common multiple of j and 176.
176
Let u = 82 + -64. Let y = 20 - u. Suppose y*l + 2 = o + 12, 4*l + o - 20 = 0. Calculate the smallest common multiple of 4 and l.
20
Let r(k) = 52*k**2 - 21*k + 13*k**2 + 1 + 29*k**2 + 5*k**2 - 22. What is the least common multiple of 36 and r(-1)?
396
Let p = -67/81 + -967/1377. What is the common denominator of p and 12/391?
391
Let t = 7365 + -7362. Calculate the smallest common multiple of 553 and t.
1659
Let a(l) = 86*l - 31. Let t(k) = -85*k + 30. Let q(x) = -4*a(x) - 3*t(x). Let v be q(7). Let u = 2898/5 + v. Calculate the common denominator of u and 57/5.
5
Let a be (-16)/(-56) + 52/14. Calculate the common denominator of 5/(-150)*(-738)/a and (-5924)/624 - (-8)/208*2.
60
Suppose -h = -4*v - 378, -3*h + 5*v - 217 = -1337. Suppose d + 334 = h. Calculate the smallest common multiple of 13 and d.
468
Suppose 2*p - 152 = -0*p + 2*y, 0 = -2*p + 4*y + 144. Find the common denominator of 5 - (172/p - -3) and 29/8.
40
Let i = 2743015/631764 + -704/161. What is the common denominator of -95/3924 and i?
3924
Suppose 0 = 2*a + 58*x - 55*x - 2891, 2933 = 2*a - 3*x. What is the smallest common multiple of 28 and a?
1456
Calculate the common denominator of -131/540 and ((-3)/18*15/(-135))/(2/146).
540
Suppose -27*a + 2*q = -29*a - 4, 2*a - 2*q = 12. Suppose -a*g = -c + 20, -c - 2*g = -g - 26. What is the smallest common multiple of ((-198)/12)/(2/(-4)) and c?
264
Suppose 22 = -u - 3*y, 2*u - 10*y + 5*y = 66. Suppose -m + 3*m - 14 = 0. Let h(r) = -r**2 + 7*r + 8. What is the lowest common multiple of h(m) and u?
8
Let i = 26 + -24. Suppose 2*a - 3*m - 30 = 0, -61 = 2*a - 7*a + 4*m. What is the least common multiple of i and a?
18
Let o = -5213/2151 + -5/239. Calculate the common denominator of 16/2085 and o.
6255
Let w(l) = -l**3 + 14*l**2 + 17*l - 30. Let n be ((-195)/(-15))/(1 - 0). Calculate the smallest common multiple of w(n) and 16.
720
Let w(s) = -13*s + 773. Calculate the least common multiple of 16 and w(21).
2000
Let x = -3/9898 - -410785/59388. Calculate the common denominator of x and (2338/(-156))/7 + 1.
156
Let c = 10194 - 9390. Calculate the smallest common multiple of 1608 and c.
1608
Suppose 5*l + 2*z - 6 = 0, -3*l - 2*z - 463 = -461. What is the smallest common multiple of l and 309?
1236
Suppose 27*s - 464 = -2*s. Suppose 3*y - 3*n - 395 = -2*y, 0 = 2*y - 5*n - 139. What is the lowest common multiple of s and y?
656
Suppose 66*n + 251 = 460 + 517. What is the least common multiple of n and 407?
407
Let w be (-1200)/36 + (-4)/6. Calculate the smallest common multiple of 28/(-5)*85/w*1 and 16.
112
What is the common denominator of -59*((-18)/20 - -1) and (-12)/8*2 + 1474/165?
30
Suppose 5*l + 3*p - 17 + 4 = 0, -p = -3*l + 5. Let c(z) = 14*z + 18. Let h be c(12). What is the smallest common multiple of l and h*((-10)/(-3) + (-15)/5)?
62
Suppose -2*h = -7*n + 2*n + 110, n + 2 = 0. Let j be 2 + 4 + (-1190403)/h. Let p = 19842 - j. What is the common denominator of p and -37/66?
660
Suppose 0 = 40*m - 54*m + 10542. Calculate the least common multiple of 4518 and m.
4518
What is the common denominator of ((-20)/90)/((-15232)/(-16608)) and -5/66?
7854
Let w = 777/5 - 32869/210. Calculate the common denominator of w and -43/413.
2478
Suppose 20*j + 13 = 21*j + 5*l, -j - 3*l = -9. Let x be 2/(-4) + 9/2. Calculate the common denominator of -43/12 and 354/x*(168/(-54) + j).
12
What is the common denominator of (-58)/14*357/170 and 127/7350?
7350
Let f = 725224/1832649 - 428/1029. Calculate the common denominator of 73/39 and f.
5343
Calculate the common denominator of 428/(-642) + (2/(-56))/((-240)/3773) and -91/30.
960
Let c(q) = -2*q**2 + 39*q + 2. Let b be c(18). Calculate the lowest common multiple of 11 and 3/(b/32*6/70).
220
Suppose 3*b = b - 33344. Let x be 243/891*122233/(-2). Let j = b - x. Find the common denominator of 41/6 and j.
66
Suppose -631*w + 621*w = 60. Find the common denominator of -113/10 and w*(2 - 71/40).
20
Suppose -i + 7980 = -v, -3*i - 46313 = 5*v - 6413. Let c = v - -191569/24. What is the common denominator of c and 101/6?
24
Let v = 1614 - 1608. Suppose -2*q - 10 = 0, 5*y + 3*q - 8*q = 130. Calculate the smallest common multiple of y and v.
42
Suppose 503*t = 547*t - 5016. What is the lowest common multiple of 456 and t?
456
Let r = 1757 - 17439/10. Suppose -3*i - 5*p = -7*i - 77, 0 = -5*i + 3*p - 80. Let v = i + r. Find the common denominator of -65/2 and v.
10
Let z(y) = y**2 + 4*y - 33. Let f be z(0). Let c = -30 - f. Let n(l) = l**2 + 5*l + 5. What is the lowest common multiple of n(-5) and c?
15
What is the lowest common multiple of 584 and 65*(618/(-39) + 16)?
2920
Let f = -26074 + 26077. What is the smallest common multiple of 3047 and f?
9141
Let v be 2*(-4 + (-6)/4). Let f be (-7 - v) + 206/(-30). 