108. Find the common denominator of ((-596)/(-16) - (-6 - 27/(-4)))/11 and (d/6)/(-1 + 0).
22
Suppose -15*d + 14*d - 7 = 0. Let w(r) = 3*r - 4. Let k be w(d). Calculate the common denominator of (-5)/k - 188/40 and 83/30.
30
Suppose 272618 = 45*b - 18467 - 128180. What is the least common multiple of b and 110?
93170
Suppose -14*m - 257040 = -252*m. Calculate the smallest common multiple of m and 39.
14040
Suppose -3*k = 3*h - 98 + 14, 161 = 5*h - 2*k. What is the smallest common multiple of h and -1*(-252)/10 + 3/(-15)?
775
Suppose 2*p + 0*p = -5*r + 15, -4*p + 19 = -r. Let i(y) = y**2 + 7*y + 25. Let c be i(-10). Let z = 58 - c. Calculate the smallest common multiple of z and r.
3
Suppose 4*i + 3*h + 18 - 81 = 0, -i = 5*h - 20. Suppose -119 = -4*s - i. Suppose 2 = m - 0*m, -2*z + s = 4*m. What is the least common multiple of 24 and z?
72
Let b = -236584559/1646 - -143733. What is the common denominator of 29/22 and b?
18106
Let k = -49 - -81. Suppose 3*u - k = 4*b, -5*u + 5*b - 15 + 60 = 0. Calculate the lowest common multiple of u and (2/4)/((-31)/(-124)).
4
Let p(o) = 57*o - 960. What is the least common multiple of p(27) and 48?
9264
What is the common denominator of ((-99)/(-1650))/(44/(-8)) and -17/605?
3025
Let t = -1138505/12 + 94884. What is the common denominator of t and (178/72)/((-21)/14)?
108
Let u be (-3)/2*(1 + 1). Suppose 116*a + 5*r = 112*a - 95, -2*a - r = 55. What is the common denominator of 49/a*1 - u and 83/33?
330
Let l = -161143 - -45442177/282. What is the common denominator of l and 12 - 117*(-15)/(-450)?
1410
Find the common denominator of 3/60*(1089/110 + -4) and -11/300.
600
Suppose -135 = 13*b - 18*b. Let x = b + -23. Suppose -x*v = -7 - 21. What is the lowest common multiple of v and 21?
21
Let i = -967/42 + 146/7. Find the common denominator of i and ((-286)/60)/((-45)/(-75)).
18
Suppose 0 = 5*b - 5*l + 40, -2*b + 3*l - 12 = -0*l. Let y be 26/4 + (-19)/38. What is the common denominator of b and ((-339)/(-45))/(y/15)?
6
Let l = 65 - -52. Suppose -115*j - 4 = -l*j. What is the lowest common multiple of (-3)/(-6)*-1*-22 and j?
22
Let l = 830489/30 + -27678. Let c be (-3)/1 - (-90)/82. Let p = c + -4657/246. What is the common denominator of p and l?
30
Let z = -16796651 - -604578511/36. Let y = z + 16807/6. Calculate the common denominator of y and 49/27.
108
Let m be (6 - 8)*(-9)/6. Suppose -3*u - 5*v - 106 = 0, m*u = 3*v - v - 71. What is the least common multiple of 12 and 9/(u/12 + 3)?
12
What is the smallest common multiple of (-1)/(4/24*-30 - (-274)/55) and 198?
990
Suppose p + 1956 = 5*k, -3*k - 3*p = -444 - 708. Calculate the least common multiple of k and 6.
390
Let r = -857 - -1473. Suppose -7*b = 4*b + r. Calculate the common denominator of (-2 - b/32)/((-18)/488) and 137/6.
18
Let f = -181/12531 - -717857/8345646. Calculate the common denominator of 55/96 and f.
31968
Let b(o) = 118*o - 125. Let c be b(-10). What is the common denominator of (-6)/c*-5*129/(-8) and -65/12?
348
Let i = -7/321 - 2/4815. Find the common denominator of i and 231/(-18)*48/(-105).
45
Let i = 322659 + -322617. Suppose g = 5*b + 27, 4*g + 2*b - 108 = -2*b. What is the smallest common multiple of g and i?
378
Let q = 2/2615955 - 146255428121/34007415. Let t = q - -4298. Find the common denominator of t and -29/61.
793
Suppose 0 = -7*z + 644 + 2373. What is the smallest common multiple of z and 8?
3448
Let g be 6926/18 + 5*8/180. Let m = 51017/18 + -2835. Calculate the common denominator of (36/120)/((12/g)/2) and m.
36
Suppose 4*u - 48 = -0*u. Let t(s) = -s**3 + 22*s**2 - 71*s + 16. Calculate the least common multiple of t(4) and u.
60
Let k(a) = 122*a - 1155. Calculate the least common multiple of 1053 and k(10).
5265
Let a = 155294 + -74194. Let h = 8028826/99 - a. Calculate the common denominator of 29/55 and h.
495
Let q(v) = 14*v**3 - 180*v**2 + 11*v - 33. Calculate the smallest common multiple of q(13) and 140.
2240
Let g = 21985 - 12371. Calculate the least common multiple of g and 8.
38456
Suppose -83 = -2*v + 173. What is the least common multiple of v and 11 + (-4 + -9 - -4)?
128
Let w(t) = t**3 - 2*t**2 - 5. Suppose 0 = -3*c - 26 + 32. What is the least common multiple of w(5) and c?
70
Let r(h) = -136*h + 11296. What is the least common multiple of 1846 and r(83)?
7384
Let s = -1540 - -2655. Suppose -4*h = 3*x + 1649, 1664 = -5*x + h - s. What is the common denominator of x/60 - 3*1 and 13/11?
44
Let t = 2148574/8165 + -6345340033/24609310. Let f = t + -2/1507. Calculate the common denominator of -69/20 and f.
20
What is the common denominator of (((-874)/432 - 2) + 4)*-22 and -103/54?
108
Let h(s) = s**3 - 14*s**2 + 12*s + 11. Let q be h(13). Suppose 11 = -5*b + 26. Calculate the lowest common multiple of b and q - (-2 + 1 + -4).
3
Let y = -27045/8 + 5869149/1736. What is the common denominator of y and -56/11?
2387
Let w = -8/1929 + -19033/10288. What is the common denominator of w and 131/516?
2064
Suppose 4*d = -9 - 11, -2*l - 2*d + 48 = 0. Let f = l + -29. What is the common denominator of 77/2 and f + (0 - (-202)/8)?
4
Let d = -81752827/2076 + 39380. Calculate the common denominator of 25/21 and d.
14532
Let f = 43 - 53. Let t = -1727/2 + 905. Find the common denominator of t and 129/(-432)*38 - f/45.
8
Let a = 75 + -77. Let l be ((-1)/a)/(1/(-2)). Calculate the common denominator of -29/4 and (-1)/3*l*41.
12
Let b(f) = -64*f + 1607. Suppose -7*v + 72 = 2*w - 2*v, -3*v = 0. What is the smallest common multiple of w and b(25)?
252
Let x = 7334 - 2672. Suppose 29*d = -8*d + x. What is the least common multiple of d and 90?
630
Suppose -2*t - 16 = -10*t. Suppose -5*i + 2*m = -t + 4, 2*i - 4 = 2*m. Find the common denominator of (91/6 - -2) + i and -19/7.
42
Suppose 27 + 3 = 5*u. Let g(j) = 3*j + 8. Let a be g(u). Suppose 0 = 28*z - a*z - 312. Calculate the least common multiple of 6 and z.
156
Find the common denominator of -11/3782 and -1*(-5 + 905/183)*156/112.
26474
Let o = 419414320 + -16777507147/40. Let v = o - -23360. Find the common denominator of (-194)/(-24) + (0 - -2) and v.
120
Let r be (-7611)/(-6) + 10/20. Let w = -10183/8 + r. Calculate the common denominator of w and 27/13.
104
Let x(g) = -g**3 + 5*g**2 + 8*g + 1. Let s be x(7). Suppose 2*r = r - 3, 4*j = -r + 225. Let t = j + s. What is the smallest common multiple of t and 2?
16
Let i(l) = 26*l - 544. What is the smallest common multiple of i(23) and 36?
108
Calculate the smallest common multiple of 435 and (-522)/(-1218)*518/2.
16095
Suppose 3*h = o + 34, 41*h - 30 = o + 39*h. Find the common denominator of 3/((-765)/(-92)) - o/(-132) and 16/51.
510
Suppose 0 = 4*x + 2*s - 4672, -2336 = -6*x + 4*x + 2*s. Calculate the lowest common multiple of x and 80.
5840
Suppose -3*v = -5*n - 0*v - 1, 0 = 5*n + 2*v - 9. Let w(x) = -x - 2. Let s be w(n). Let h = 13 + s. What is the lowest common multiple of h and 8?
40
Let q = 1213/7 - 178. Let w = -5164 - -2682. Calculate the common denominator of q and 4/(-3) - w/(-657).
63
What is the common denominator of (326/815)/((-3008)/(-475)) and 167/60?
22560
Suppose 9*n - 5*n + 38*n - 3234 = 0. What is the least common multiple of n and 119?
1309
Suppose 35*g - 344 = 31*g - 4*l, -109 = -2*g + 5*l. Suppose 4*s = -2*b + 4*b - 174, -5*b - 4*s + 365 = 0. Calculate the lowest common multiple of b and g.
77
Suppose -3*d = -3*n - 15, 46 = -26*d + 31*d + 2*n. Suppose 153 = d*b - 151. Calculate the lowest common multiple of 2 and b.
38
What is the common denominator of (-867)/(-41140)*(-2 + (-6)/12) and -97/4?
968
Suppose 5*b + 69 = -51. Let z(y) = -y**2 - 23*y + 36. Calculate the smallest common multiple of 32 and z(b).
96
Let x = -606 - -974. Let r = x - 311. What is the least common multiple of 2 and r?
114
Suppose 7*j = 6*j - 2. What is the lowest common multiple of j + 8 - (-12)/3 and 19 + 4 + 6/(-2)?
20
Let y(x) = 15*x - 106. Let o be y(6). What is the common denominator of 3/((-45)/o)*231/(-22) and -13/4?
20
Suppose -10 = 2*f - 14. Suppose -3*p - f = -5. Calculate the common denominator of 31/20 and 105/20 + p*(5 + -3).
20
Let y(n) = -1145*n + 1356. Calculate the least common multiple of y(0) and 30.
6780
Find the common denominator of -1/988 and (-4)/(-66)*(17/(476/1701) - -6).
10868
Let o = 646927/64 - 1010