85520
Let t = 27394293/205 + -133631. Calculate the common denominator of 31*8*11/3960 and t.
1845
Let n = -259981 + 60835433/234. Find the common denominator of n and 47/30.
1170
Let n = 706675/666 + -1061. Calculate the common denominator of 11/15 and n.
3330
Suppose d + 4*d - 15 = 5*i, -12 = -2*d - 4*i. Suppose -d*k - 35 = -5*w - 10, -5*k = 0. Calculate the lowest common multiple of w and 1.
5
Suppose 4*s = -n + 48, 4*n = 5*s - 10*s + 60. What is the common denominator of 5/7 and -1*(-2)/s*255/(-2)?
28
Let i(u) = u**2 - 28. Let w be i(11). Let y = w - 42. What is the smallest common multiple of y and 8?
408
Let x(p) = 4*p - 6. Suppose 0 = -52*h + 47*h + 75. Suppose h = -3*a, -14*t + 17*t = -a + 4. Calculate the smallest common multiple of x(3) and t.
6
Let o = 5468 - 5363. What is the smallest common multiple of o and 12?
420
What is the lowest common multiple of 258 and 20 + -50 + 9 + 5052?
10062
Let l = 33665 + -26735. Calculate the lowest common multiple of l and 5670.
62370
Let v = 54 - 35. Find the common denominator of 3 + -3 + -22*2/v and 79/2.
38
What is the smallest common multiple of ((-5)/4)/(-26 + 331940/12768) and 228?
1140
Suppose 3*m - 2*m - 5*x = -29, 2*x = 5*m + 30. Let l = -7 - -14. What is the lowest common multiple of ((6318/12)/13)/((-3)/m) and l?
378
Let h = -3/12004 - -348773/2628876. Calculate the common denominator of h and 28/141.
10293
Let c = -174125/6696 - -808/31. Calculate the common denominator of c and -145/12.
216
Let y be 140/30*(-4 + -11). Find the common denominator of 549/y + 72/(-84) and 95/4.
20
Let a = -208 + 214. Find the common denominator of (a - 612/8)*(-5)/195 and 105/104.
104
Let w(x) = -16*x - 88. Suppose 12*t = 28 - 112. Calculate the least common multiple of w(t) and 164.
984
Suppose -499 - 3 = 2*p - 3*d, 4 = -d. Let l = p + 1537/6. Calculate the common denominator of -59/51 and l.
102
Let b = 139748 - 233938141/1674. Find the common denominator of -131/1116 and b.
3348
Find the common denominator of -49/674 and 92/564*(120/100)/((-20)/(-25)).
31678
Let q be 13/(-2092)*-645 + (-180)/45. Let l = q + -47375/294972. Find the common denominator of l and -107/18.
846
Find the common denominator of -7 - (21070/(-3150) - (-1 - -1)) and -139/90.
90
Let g = 432 + -453. What is the common denominator of (g/(-6))/(-7) + (-73)/16 and -26/11?
176
Suppose -5*f + 76 = -2*t - 684, -795 = -5*f - 5*t. What is the smallest common multiple of 627 and f?
8778
Let a(u) = u**3 + 35*u**2 - 39*u + 78. Let x be a(-36). Find the common denominator of (-39)/(-1040)*x/9 and -61/20.
40
Let j = 715143 + -480576235/672. Find the common denominator of j and 101/160.
3360
Let s = -22 + 24. What is the common denominator of (-5)/((-100)/6)*-22 and -1 + s*8/(-22)?
55
Let n be 170/16 - (2 + 6). Let a = n - 143/8. Find the common denominator of 127/12 and a.
12
Let j be -1*722 - (74 + -74). Let l = j - -752. Calculate the smallest common multiple of l and 3.
30
Let m = -16638 - -432531/26. Let f = 12/419 + 33915/838. Calculate the common denominator of m and f.
26
What is the common denominator of ((-3)/54)/(-4*(-1)/(-152)) and (-1)/36*7878/585?
270
Let k be (-12)/(0 - 1)*-5. Let w(s) = -2*s**2 + 47*s - 86. Let z be w(23). Let c = k - z. Calculate the lowest common multiple of c and 5.
15
Let h = -324 - -308. What is the least common multiple of (123 - 1) + (h/8 - 0) and 14?
840
Suppose 161*x = 170*x - 126. Calculate the least common multiple of 30 and 7/x + 143/2.
360
Suppose -62 = -9*h + 1. Suppose -h*o - 104 = -20*o. What is the least common multiple of 76 and o?
152
Suppose -2028 = -j + 3665. Let k = j - 119510/21. Calculate the common denominator of k and 0 + 3 + 0 - (-395)/(-90).
126
Let a be 33 - (0 - (3 + -6)). Suppose 0 = -5*q - 2*o + a + 5, 0 = 5*q + 5*o - 35. What is the smallest common multiple of q and 109/3 + 9/(-27)?
252
Let t = 22648 + -362385/16. Let f = 9862 + -256443/26. What is the common denominator of t and f?
208
Let n be 2*(-9)/12*858/(-11). Suppose -n + 357 = 16*y. What is the lowest common multiple of y and 1?
15
Let u(f) = -f**3 + 9*f**2 - 9*f - 20. Suppose -35*i = -45*i + 60. Calculate the smallest common multiple of u(i) and 1.
34
Let t = 79343/416860 + 77/1097. Find the common denominator of -91/380 and t.
380
Let a = -2011379/358470 - 2/19915. Calculate the common denominator of a and -119/120.
360
Let h be (((-5)/(-2))/(30/24))/2. Calculate the common denominator of h + -5 + 1 - 91/10 and -2 + 5 + (-40)/9.
90
Suppose 2*w + 4*y = -y - 27, 0 = 3*w + y + 34. Let b = -31 + 44. Let a = w + b. Calculate the lowest common multiple of a and 5.
10
Let v = 154649/24 - 6447. Find the common denominator of v and 236/(-180)*1*-1.
360
Let m(c) = -c**3 + 5*c**2 - c - 2. Suppose 0 = -5*y + 316*y - 43540. What is the smallest common multiple of m(4) and y?
140
Calculate the common denominator of (-1)/10*(333/(-1110) - (-419)/880) and -121/10.
1760
Calculate the common denominator of (18/(-60))/((-4884)/18685) and 117/380.
8360
Suppose -5*j + 15*j - 10 = 0. What is the smallest common multiple of 8 and (j + 161/(-21))*6/(-4)?
40
Let m(f) be the first derivative of f**3/3 + 5*f**2 - 9*f - 30. Let a be m(-11). What is the common denominator of (132/16)/((-5)/4) - a and 33/5?
5
Let g(l) = -l**3 - 14*l**2 + 16*l + 18. Suppose 7*y + 3*y = 20. Suppose y*k = 13 + 1. What is the least common multiple of g(-15) and k?
21
Let i be (-28091)/61*(-19)/(-247). Let x = -861/61 + i. Let u = 3923/91 + x. Calculate the common denominator of -77/24 and u.
168
What is the common denominator of ((-18)/14)/(34680/(-68782)) and -99/3794?
37940
Calculate the least common multiple of (-248)/(-14)*(-210)/(-60) and 217.
434
Suppose 41*m + 81 = -42. Let z(w) = 2*w - 2. Let o be z(7). Let p = o + m. Calculate the least common multiple of p and 9.
9
Suppose 0*t + 5*t - 200 = 0. Let a = -66 - -72. What is the least common multiple of 30/t + 69/4 and a?
18
Let u = 37 + -19. Calculate the lowest common multiple of (13/((-39)/(-450)))/1 and u.
450
Suppose -498 + 78 = -4*f. Let m be (8/(-14))/((-30)/f). Suppose m*z = -3*n + 24, -2*z - 3*z + 21 = n. Calculate the lowest common multiple of 46 and n.
138
Let d be 16/80*1976210/24. Let j(m) = -3291*m + 3. Let c be j(-5). Let y = d - c. Calculate the common denominator of -63/2 and y.
12
Let v = 17766871 + -3517848709/198. Let j = v - -418/9. Find the common denominator of -149/6 and j.
66
Let h = 12 - 7. Suppose -5*u - 3*d = -0*u + 784, 2*u + 295 = h*d. Calculate the common denominator of 119/12 and -1 + -1*u/100.
60
Let i be (-1 + 4)*-3 - -2. Find the common denominator of 2/(-1) - (i - 44/32) and -52/11.
88
Suppose -9*n = -2*n + 28. Let c(k) = -3*k + 2. Let f(x) = 5*x - 5. Let j(u) = -7*c(u) - 4*f(u). Calculate the least common multiple of 5 and j(n).
10
Let p = -1647 + 1800. Calculate the smallest common multiple of 119 and p.
1071
Suppose -35*l - 57*l + 14 + 354 = 0. Calculate the least common multiple of l and 4490.
8980
Let x = 4329 - 125520/29. What is the common denominator of x and (725/435)/(2 + 62/(-36))?
29
Suppose 25*k - 15 = 24*k. Let z = k + -10. Let q(f) = -f**2 + 4*f + 4. Calculate the lowest common multiple of q(4) and z.
20
Suppose 14*d - 12*d + 15 = 5*d. Let v(n) = n**2 - 6*n. Let z be v(5). What is the least common multiple of d and z*((-6)/5)/1?
30
Let u = 1703645/30876216 - 3/77384. What is the common denominator of u and -64/3?
399
Let a be (58/551 + (-200)/1178)/(-19). Let f = 24171/6479 - a. Let v = 163/11 + -1169/44. Calculate the common denominator of f and v.
44
Calculate the least common multiple of ((-10)/(-8))/((-29)/(-5104)) and 616.
3080
Let m = -100 + 103. Suppose 0 = 5*a + m*f - 52, -3*a - 8*f + 3*f + 44 = 0. Let y = -67 + 144. Calculate the least common multiple of y and a.
616
What is the lowest common multiple of (-575 + -1)/((234/(-24))/13) and 64?
768
Suppose -10*g + 1427 - 287 = 0. Let a = g - 108. What is the least common multiple of a and 148?
444
Calculate the common denominator of ((-4)/(-48))/((-2)/556) and 438/254 - 312/208.
762
Let k(g) be the first derivative of g**4/4 - 6*g**3 + g**2/2 + 61*g + 9. What is the smallest common multiple of k(18) and 3?
237
Suppose 0 = 3*f - 5*a - 117, 4*f = 3*a - 0*a + 145. Let n = f - 32. What is the smallest common 