Let l = -142618 - -17114011/120. What is the common denominator of l and 123/340?
2040
Let o(u) = u**2 + 29*u + 1558. Calculate the smallest common multiple of o(-94) and 28.
53676
Find the common denominator of 8*1841/14504 - 4/14 and -69/296.
296
Let m(l) = -25*l + 125. Let s be m(0). Suppose -193 = -4*i + v - 58, -3*i - 4*v = -s. What is the least common multiple of i and 1?
35
Calculate the common denominator of (-1 + (-188)/(-5))*(-9)/((-386802)/38) and 38/117.
16965
Suppose 4*u - 28*b + 33*b = 65, -55 = -2*u + 5*b. Calculate the smallest common multiple of 84 and u.
420
Suppose -3*g = -21 - 9. Suppose -136 - 416 = 4*r. Let v = r - -140. Calculate the lowest common multiple of v and g.
10
Let m(k) = -72*k - 2994. Calculate the smallest common multiple of m(-42) and 45.
90
Calculate the smallest common multiple of (54 - -18)*((-10)/15 + 2) and 144.
288
Suppose -20 = -3*n + 28. Suppose -5*r + n*r + 275 = 0. Find the common denominator of 38/9 and (-3)/r*15/30.
450
Let k(o) = 4*o**2 + 4. Let w be k(0). What is the common denominator of 99/104 and (-2)/(-10)*(3165/110 - w)?
1144
Suppose -2 = -2*s + 4. Suppose 139*j + 105 = 146*j. What is the least common multiple of j and s?
15
Find the common denominator of (-1468)/(-1056) - 3 - (10/5 - 4) and -169/168.
1848
Let s = 196739 + -43282653/220. Find the common denominator of s and -27/200.
2200
Let u = 36605/8 - 4567. Calculate the common denominator of 15 - (585/46 + 4) and u.
184
Suppose 0 = -29*i + 12*i + 17. What is the common denominator of 103/36 and (-3 + -1 - (-1143)/108)/i?
36
Let n = -76 + 52. Let b be 1/4 - 42/n. Suppose b*j = -2*j + 32. Calculate the smallest common multiple of j and 9.
72
Let a be 2*(-67)/(-2) - (6 + -8). Let j = a - 67. Suppose -3*h + 28 = f, -5 - 3 = -j*f. Calculate the smallest common multiple of 2 and h.
8
Let v = -237/11 + 4089/176. Calculate the common denominator of v and 1/46.
368
Suppose 3*o + 3*l - 373863 = 0, 5*l = -o + 4*o - 373887. Let x be ((-1)/16)/(2324/o). Let n = 44/83 + x. Find the common denominator of n and 151/24.
168
Calculate the lowest common multiple of 140 and 14 + 1 + 153 + -88.
560
Let u = 20414306428 - 1334279067745909/65360. Let s = -6/4085 + u. Calculate the common denominator of 415/70 - (-3 + 1) and s.
112
Suppose 50 = 5*a + 5*z, 4*a - 5*z - 16 = 3*a. Suppose 6*o = 25 + a. What is the lowest common multiple of o and ((-30)/(-4))/(3/6)?
30
Let t be (508/12)/((-22)/4). Let q = t - 84/11. What is the common denominator of q and (-159)/(-18) + (-3)/(-1)?
6
Suppose -2*y = -4*s - 158, y = 4*y + 2*s - 277. Let c = y - 83. Let b = 17 - 1. Calculate the least common multiple of c and b.
48
Calculate the common denominator of (-450)/(-720)*((-7)/(-25))/1 and 41/(-10) - (-84)/21.
40
Let w(r) = -r**2 + 2. Let a be w(0). What is the common denominator of (a/18)/((-3)/(2718/12)) and ((-19)/3*-1)/(8/(-28))?
18
Let h = 47 + -17. Let g be (-109)/(-7) + -1 + (-60)/(-42). What is the lowest common multiple of h and ((-9)/(-2))/(6 - 88/g)?
90
Let v(t) = -t + 23. Let f be v(14). Let y(g) = -g**3 + 10*g**2 - 8*g - 11. Let s be y(f). Let j = s + 13. Calculate the smallest common multiple of j and 9.
99
Suppose 3*u + 51 = 3*q, 0*q - 5*q = u - 55. Let l = 428 + -411. Suppose -3*y - 5 - l = -2*a, -6 = -a - y. Calculate the smallest common multiple of q and a.
24
Suppose 3*a - 4*v - 78 = 0, 4*v - 1014 = -2*a - 1002. What is the least common multiple of 402 and a?
1206
Let v = 89/131 - 7851/6157. Let c be 1 + 242*(-30)/752. Let z = c + v. Calculate the common denominator of z and -79/6.
12
Let c(a) be the second derivative of -a**4/6 + 47*a**3/6 + 13*a**2 - 5*a. Let w be c(24). Calculate the lowest common multiple of ((-39)/(-52))/(w/80) and 39.
390
Suppose 3*g - 5*u - 86 = 0, u + 145 = 4*g + 19. Let o = 3602 + -3570. What is the smallest common multiple of g and o?
32
Let q be 21/(-14)*16/24. Find the common denominator of 25/252 and ((-1112)/(-192))/((-6)/8 - q).
252
Let o be -5*(2 + -1 - 14469/(-35)). What is the least common multiple of 24 and 3 - (-23)/(-7) - o/49?
168
Let u = 3145 + -3134. Calculate the smallest common multiple of 230 and u.
2530
Suppose -203 + 678 = 5*j. Suppose -o - 16 = 5*v, 2*o + 8*v - 14*v = 32. What is the smallest common multiple of j and o?
380
Suppose -3*l - 3*p + 1049 = -946, 3*p - 15 = 0. Suppose 19*q - l = 9*q. Calculate the lowest common multiple of 12 and q.
132
Let t = 201698205607/345151551360 + 2326/22285095. Let s = 1/15488 - t. Find the common denominator of -69/35 and s.
385
Suppose -497*o + 465*o + 13400 = 88. What is the lowest common multiple of o and 1248?
1248
Let t(m) = -1696*m - 1000. What is the least common multiple of 20 and t(-3)?
20440
Find the common denominator of -45/2744 and (-1018)/(-7840)*2 - (224/20 - 11).
13720
Calculate the least common multiple of (-41 - -1)/(-8) + (83 - 4) and 210.
420
Let q = 318 - 4756/15. What is the common denominator of q and 5526/(-540) + 54/6?
30
Let w = 13 + -13. Suppose j = 3*d + 15, w*j + 31 = 3*j - 2*d. Calculate the smallest common multiple of 7 and j.
63
Suppose -396 + 390 = -t. Let a = -2 - -8. Suppose -4*o + a = -2*o. Calculate the lowest common multiple of t and o.
6
Let s be (12/8 - 1)*(-3 + 13). What is the smallest common multiple of (-10)/(96/(-18) + s) and 51?
510
Let p = 2866 + -21633. Let i = 11812 + p. Let x = i - -55709/8. Calculate the common denominator of 151/36 and x.
72
What is the least common multiple of 48 and -1 - ((-124)/28 + 4) - 5440/(-112)?
48
Suppose 0 = 11*x - 27*x - 896. What is the lowest common multiple of 12/(-16) - -6*(-63)/x and 30?
30
Let b = 20/65913 - -1594352197/57212484. Let d = b + -772/31. Find the common denominator of -18/7 and d.
28
Let t be (-7 - -11)*-1 - 6. What is the lowest common multiple of 8 and 4/7 - ((-6236)/14 - t)?
872
Let m = 322503/20 + -16120. Let l = -1951/2 - -956. Calculate the common denominator of m and l.
20
Let d = 2468/91 + -1157696/42861. Calculate the common denominator of d and -65/9.
1413
Let w = 11786 - 259189/22. Let c = -4/6247 - -494033/812110. Calculate the common denominator of c and w.
1430
Let f = -606321/4 + 153193. Let u = -1621 + f. What is the common denominator of 45/154 and u?
308
Let v(d) = -d + 7. Let w be v(7). Suppose w = 4*j + 15 + 17. Find the common denominator of -17/5 and 13/(-2) + (-24)/j.
10
Let q be 616478/(-600) - 2/3. Let v = 4105/4 + q. Let s = -51001/3 + 16984. Calculate the common denominator of s and v.
75
Suppose -49*k + 14*k + 70 = 0. Calculate the smallest common multiple of (-8)/(-4) - -44 - k/(-1) and 40.
240
Let d = 40/207 + 568/23. Let j = 707/36 - d. Find the common denominator of j and (0 + (-9)/(-324))*254.
36
What is the lowest common multiple of 4209 and 29/(290/40) + 57?
4209
Let s(m) = m + 42. What is the least common multiple of s(0) and (12/(-21) - (19 + 780/(-42))) + 7?
42
Let v = -839251/54 + 15541. Let r = 135199/6516 - -2/1629. Find the common denominator of r and v.
108
Let l be 4*1 - (5 + 2 - 150). Let y = -144 + l. Calculate the smallest common multiple of y and 10.
30
Let t = 1763329/1064 - 13257/8. What is the common denominator of t and 91/20?
2660
Let k(a) = -3*a - 1. Let g be k(-2). Suppose 8*m + 2*u - 56 = 3*m, -2*m = g*u - 35. Let y = 163 - 154. Calculate the least common multiple of y and m.
90
Let f = -2/298585 + -5331467/60911340. What is the common denominator of -53/27 and f?
12852
Let q(f) = 9*f**2 + 16*f - 9. What is the smallest common multiple of 480 and q(3)?
480
Let s be (-2018)/(-6) - ((-20)/30 + 2). Calculate the common denominator of s/(-2)*((-248)/(-40) + -6) and -49/12.
12
Let m(b) = 159*b**2 - 5*b - 17. Let u be m(-8). Let q be -1 - 1 - u/(-1364). Let s = -419/44 + q. Calculate the common denominator of 73/32 and s.
352
Suppose 23*b = 79*b - 27832. What is the least common multiple of b and 1704?
11928
Calculate the least common multiple of (66 - 1) + ((-70)/(-21))/(2/(-3)) and 124.
1860
Let u(y) = 2*y + 13. Let w be u(-4). Suppose 0 = w*a - a + 16, 3*a = -p + 52. Let t = 68 - p. What is the smallest common multiple of 11 and t?
44
Suppose -l + 14 = -3*n + 2*n, -3*n = -2*l + 31. Suppose -2*p - 142 = -2*f, 4*f + 198 = -3*p + 2*f. What is the lowest common multiple of l and 13 + 2/16 + p/32?
11
Let x = 7/22074 + -2179