((-5)/(-1 - 24)). Let w be 4/(-18) - (1880/a + 0). Find the common denominator of -57/20 and ((4 - (-13)/(-2))*-10)/w.
420
Let j(c) = -c**3 + 7*c**2 + 8*c + 10. Suppose 0*s - 6 = -2*s. Let g = 4 - s. What is the least common multiple of j(8) and g?
10
Suppose 0 = -17*n + 8*n - 18. Calculate the common denominator of (-97)/(n + -22 - 0) and 93/4.
24
Let q be 5*1*(-8 + (-1302)/(-15)). Find the common denominator of 1/(3 - 7) - q/(-56) and -65/2.
14
What is the common denominator of -93/568 and (5/8)/((-9847)/(-2494) + (1 - 5))?
1704
Let c = 1096 - 7626/7. Find the common denominator of 83/2766 and c.
19362
Suppose 2*v + y = 3*y + 62, -2*y = 2*v - 78. Suppose 0*k + 3*c + v = 2*k, -2*c = -5*k + 60. Let l = 75 + -51. What is the least common multiple of l and k?
120
Suppose 1772 = -15*h - 2721 + 6488. What is the smallest common multiple of 3933 and h?
27531
What is the lowest common multiple of 1/(-4) + 1 - ((-5373)/36 - 35) and 37?
185
Let l(x) = 18*x + 4. Calculate the least common multiple of l(2) and 16 - 20 - (17 - 43).
440
Let p(k) = k**2 + 3*k + 1. Let o be p(-2). Let i(x) = -40*x**2 + x. Find the common denominator of i(o) and (((-3591)/14)/(-9))/(21/7).
2
Let f = -1476599/4 + 366757. Let d = -2378 - f. Suppose 5*b = -173 + 178. Find the common denominator of b and d.
4
Find the common denominator of 62 - 65 - (1 + (-66815)/16750) and -69/2680.
13400
Let q = 33570/31 - 46931387/43338. Calculate the common denominator of q and 77/18.
4194
Let s = 1199597/99 - 12117. Let c = s + 647/198. Find the common denominator of 55/342 and c.
3762
Find the common denominator of 41/5 and 192/352 + (-11672)/22044.
2505
Let f = -11495 - -11519. Calculate the lowest common multiple of 420 and f.
840
Let k(y) = -y**3 + 78*y - 35. What is the least common multiple of 4410 and k(-14)?
48510
Let y = -112415 - -49237871/438. Calculate the common denominator of y and 23/78.
5694
Let x(p) = -14*p**3 + p + 1. What is the least common multiple of x(-1) and (((-128)/(-240))/((-8)/(-10)))/((-80)/(-48))*205?
574
Suppose h = 3*g + 4*h + 30, -4*h - 8 = 0. Suppose 0 = 2*m - 18 - 58. Let k = m + g. Calculate the smallest common multiple of 15 and k.
30
Let z(a) = -a**3 + 11*a**2 - 30*a + 16. Suppose 0 = -5*c - 3 - 2. Calculate the least common multiple of z(7) and 33 - (-4 + 5)/c.
34
Suppose -2*h - 4*k + 420 = 0, 66 + 169 = h - 3*k. What is the smallest common multiple of h and 160?
1760
Let x = 3178 - 3115. What is the lowest common multiple of 26 - (-3 - (-3)/3) and x?
252
Suppose -26*v - 294 = -32*v. Suppose 0 = 4*y - f - 39, -4*y + 2*f + v = 15. Calculate the lowest common multiple of y and 25.
275
Let i be (222/(-8))/((-81)/72)*3. Let s = -66 + i. Let u(n) = 2*n - 12. Calculate the lowest common multiple of u(13) and s.
56
Let i(q) = 4*q**2 + 28*q + 29. Let n be i(-1). Calculate the common denominator of 13/15 and (n/24)/(-5)*1896/(-96).
480
Suppose -43*n - 61787 = -180*n. What is the least common multiple of n and 55?
2255
Calculate the least common multiple of 340 and 6/2 + ((-962)/(-10) - (-168)/210).
1700
Suppose -216 = -3*l - 5*l. Let r(z) = -9*z + 3. Let b be r(-5). Suppose -b = -2*i - 0*i. What is the lowest common multiple of l and i?
216
Find the common denominator of (-4)/(-26) - 13/((-10816)/10064) and 53/361.
1444
Find the common denominator of -65/38 and (-7)/(-4)*(1080/(-798))/(-4).
76
Suppose -2*a + 0 = -2*z + 4, -3*z = 5*a - 86. Let k = 24 + -17. What is the least common multiple of z and k?
84
Let q(a) = a**3 + 16*a**2 + 15*a + 8. Suppose o - 2 = -3*i, 4*o + 1 + 0 = -3*i. Calculate the smallest common multiple of q(-15) and (1 - 0)/(1/i).
8
Suppose 0 = -4*p - 4, -4*g + 0*p = p - 1583. Find the common denominator of 4/(-6) - (-30)/g and -35/8.
88
Suppose 2*g - 4*n = -10, 5*g + 2*n = n + 30. Suppose -312 = -g*a - 1582. Calculate the common denominator of -53/58 and a/(-8) - 13/52.
58
Suppose 28654 = -3*l + 1984. Let f be (l/264)/((-27)/18). Let d = f - 217/11. What is the common denominator of d and -125/66?
198
Suppose -8 = -2*v - 2*v, w - 10 = -v. Let c = 426 + -750. What is the lowest common multiple of w and c/(-16) - (-1)/(-4)?
40
Let c = -8949 + 196841/22. Let u be (-8)/((24/(-44))/3). Calculate the common denominator of c and 4/u*2*2/(-4).
22
Let n be -2*(610/(-12) + (-10)/10). Let r = n - 3161/30. Let d = -2158 + 23718/11. Find the common denominator of d and r.
110
Calculate the common denominator of ((-28)/(-1))/(-2) + -1 and 14355/2175*10/12.
2
Suppose -20*s = -1837 - 1243. Let y = -289/2 + s. What is the common denominator of -1 + 1 + 49/(-10) and y?
10
Let m = -109/61 + 7982/3477. Find the common denominator of (-1786)/420 - 3/(42/(-4)) and m.
570
Let q = -31428697146989/11130 + 2823782305. Let b = 4/1113 - q. Let k = -2773/9 + 941/3. Find the common denominator of b and k.
90
Let r(y) = -y**3 - 5*y**2 - 4*y - 4. Let a be r(-4). What is the common denominator of 23/(-6)*(-2)/a and (-24092)/(-11913) - 5/95?
132
Suppose 86 = -2*z + 130. What is the lowest common multiple of z and 758?
8338
Let r = 123 + -128. Let y(q) = q**2 - q - 26. Let b be y(r). Calculate the common denominator of b - (-5)/(-1) - (-126)/111 and -11/4.
148
Suppose u - 13 = -4*p + 6, -5*p + 30 = -5*u. Suppose -3*r + 0*r + p*d = -52, -16 = r + 5*d. Calculate the smallest common multiple of 241 and r.
2169
What is the common denominator of -17/1884 and 25/((-300)/(-264))*(-9)/(-28260)?
9420
Let j = -11349/7 - -1615. Suppose 11 = 4*u + 11*s - 12*s, 0 = -3*u - 2*s. What is the common denominator of (-4*3/(-456))/(u/(-4)) and j?
133
Suppose 35*c = 3*g + 32*c + 9, 4*g + 15 = 5*c. Suppose -7*d + 24*d - 238 = g. Let v = 43 - 27. What is the smallest common multiple of v and d?
112
Suppose -19*s = 32*s + 2*s - 318. Let n = 103 + 35. Calculate the smallest common multiple of s and n.
138
Let v be (-1 - 4/8)*(-6924)/18. Let g = 601 - v. What is the least common multiple of g and 42?
168
Suppose -30*t + 34*t - 3*x = 53, 5*t - 40 = -5*x. Let m = 59 + -26. What is the lowest common multiple of t and m?
33
Suppose -n + 5*n = o + 11, -2*o - 25 = -5*n. Calculate the common denominator of 5/6 and (-219)/o*20/(-12).
6
Calculate the least common multiple of 495 and 900/30*(-66)/(-12).
495
Suppose 0 = 4*f + 3*a - 139, -73 = -2*f - 0*f - 5*a. Let h = 68 - f. Let x = h + -30. What is the lowest common multiple of x and 84?
84
Let w = 340 + -324. Suppose -462 = w*v - 22*v. Calculate the least common multiple of v and 44.
308
Let k = 1/36582617201829 - 53264693054662905539/390022646687923737180. Let b = k + -9/23177. What is the common denominator of b and -71/14?
3220
Let t = 40 + -18. Suppose 63*f = 40*f + 5336. Calculate the least common multiple of f and t.
2552
Find the common denominator of -7 + 174204/12456 + -1*7 and -53/865.
1730
Suppose 2*a + 2*g - 78 - 12 = 0, -5*a + 265 = -3*g. Calculate the least common multiple of a and 165.
1650
Let f(n) = 2*n**2 + 82*n + 1258. What is the lowest common multiple of 1195 and f(-26)?
2390
Let p be 562452086147268/(-58248194930) - (-1)/((-1)/(-3)). Let l = 6/49446685 + p. Let m = l + 9652. Calculate the common denominator of -50/7 and m.
217
Suppose 0 = 5*y - 0*y - 495. Calculate the lowest common multiple of 408/(-119)*(-630)/30 and y.
792
Suppose 3*f = 4*v - 2794, 231*v - 229*v - f - 1398 = 0. What is the smallest common multiple of v and 350?
700
Let h(m) = 8*m + 624. Calculate the least common multiple of 1716 and h(-39).
3432
Let z = -6709 + 13441/2. Calculate the common denominator of z and -131/2076.
2076
Find the common denominator of (-6)/(-20)*(4 - 41) and 109/550.
550
Let f(p) = 4*p**2 - 11*p - 142. Let n(z) = z**2 + z + 1. Let q(l) = -f(l) + 3*n(l). What is the smallest common multiple of q(0) and 10?
290
Let h = -37283/70308 - -85/124. What is the common denominator of 5/9 and h?
567
Let o = -462 + 434. Calculate the common denominator of 986/825 - o/(-154) and -47/90.
450
Let g = 327 - 305. Calculate the least common multiple of 56 and g.
616
Calculate the common denominator of (33/9)/11*(-4 - -32) and (4/(-6))/(48/(-657)).
24
Suppose -158*a + 2000 = -118*a. What is the smallest common multiple of 380 and a?
1900
Let p(s) = -237*s - 12291. Suppose 0 = 3*i + 4*j - 70, 2*j = -0*i - 2*i + 46. What is the lowest common multiple of i and 