
168
Let n = 6 + 1. Let d = -75 - -82. Suppose 4 - d = -3*z. What is the least common multiple of z and n?
7
Suppose 0*j - j = -3. Suppose 3*r = b - 33, 0*b = 4*b + 2*r - 104. Calculate the lowest common multiple of b and j.
27
Let u be ((-5)/(-270))/((-39)/(-35847)). Let c = u + 17/117. Find the common denominator of c and 101/10.
30
Suppose 4*w = 2*l + 2*l + 20, -2*l - 10 = -4*w. What is the lowest common multiple of 18 and 12 + 0/(w - -1)?
36
Let l = -78 - -33. What is the common denominator of (333/l)/(16/(-10)) and 25/3?
24
Let u be 2 + 1*-373 + 0. What is the common denominator of (-4)/(-6) - u/(-66) and (16/5 + -3)*1725/40?
88
Calculate the common denominator of 11*(-16)/(-88) + (-908)/336 and -20/57.
1596
Let d(q) = -q**2 - 8*q - 14. Suppose -h + 2*h = -4*x - 7, 2*h - 2 = 0. Let c = -12317/10 - -1229. Calculate the common denominator of d(x) and c.
10
Suppose -4 = 4*x - 0, x = c - 5. What is the lowest common multiple of 181 and c?
724
Let s(t) = t**2 - 13*t + 10. Let m be s(8). Let g = m + 57. What is the least common multiple of 17 and (g/15)/(1/5)?
153
Let u = 58 + -8. What is the least common multiple of 36 and (u - 0)*(-4)/(-60)*6?
180
Let o be -3 + (-13)/(-1 - 0). Suppose 18 = -12*t + o*t. Let r = -6 - t. Calculate the lowest common multiple of 8 and r.
24
Let t = 30588 - 856551/28. Find the common denominator of 17/224 and t.
224
Let l = 587140043833/42846252 + -6/3570521. Let u = -13713 + l. What is the common denominator of u and -25/26?
156
Calculate the least common multiple of 225 and ((-18)/5)/((-54)/675).
225
Let u be 2/8 - 76033284/352. Let q = -1755105/8 - u. Let i = -3388 - q. Find the common denominator of i and 5/8.
88
Let d = 34 - 29. Suppose 0 = -5*u - f + 15, 2 - 7 = d*u + 5*f. What is the smallest common multiple of 17 and u?
68
Let f = -47639/12 - -3973. What is the common denominator of 1 + 2 - -68*(-5)/660 and f?
132
Let l = 43 - -7. Suppose 5*u - l = 5*r, u + 3*r - 10 = -4*u. Suppose -2 = -u*s + 23. Calculate the smallest common multiple of s and 7.
35
Suppose -2*i + 5*q = 20, -i + 0*q - 2*q + 8 = 0. What is the common denominator of i + 0 - (-282)/90 and -64/9?
45
Find the common denominator of 2 - 2 - 110/(-52) and (-32)/272 - 1630/(-272).
104
Suppose -14694 = 4*f - 4*a + 2*a, -7350 = 2*f - 4*a. Let u = 51491/14 + f. Calculate the common denominator of 133/18 and u.
126
Suppose -27*i - 3858 = -12606. Calculate the lowest common multiple of i and 288.
2592
Let f = 2692 + -2580. What is the lowest common multiple of f and 32?
224
Let u = 19873 - 38861/2. Let v = u + -1316/3. What is the common denominator of v and 31/36?
36
Let p be 74/(-267) + (-1)/(-3). Let r = p + -4441/1424. What is the common denominator of r and 89/((-2 + 1)/(7/70))?
80
Suppose -47 = -b - 3*t, 2*b + 5*t + 50 = 4*b. Let x = 3719/77 + -347/7. Find the common denominator of b and x.
11
Let c = -22780779/22 + 1034566. Let y = c - -929. What is the common denominator of y and 37/18?
198
Let z = -9 + 15. Calculate the common denominator of z/15 - ((-424)/90)/(-4) and -56/33.
99
Suppose l + 8 - 9 = 0, 2*l = -3*y + 212. Calculate the smallest common multiple of 21 and y.
210
Suppose -3*y = -0*y - z - 11, 7 = 2*y - z. Suppose 4*v + y = -3*f + 2*v, 5*f + 28 = 2*v. What is the lowest common multiple of 22 and ((-64)/10)/(f/10)?
176
Let r = 975 + -959. What is the least common multiple of 48 and r?
48
Let y = 556801/2092410 + 1/15615. What is the common denominator of 63/10 and y?
2010
Find the common denominator of -89/112 and 678/(-42)*((-27)/(-24) + -1).
112
Find the common denominator of (-1 - 24/(-20)) + (-2910)/300 and -55/747.
1494
Suppose -a - 6*z + 14 = -2*z, 4*z - 42 = -3*a. Calculate the smallest common multiple of 11 and a - ((-6)/(-1))/3.
132
Calculate the common denominator of 13/32 and 64/(-320) - 13*111/(-2640).
352
Suppose -3*j = 2*i - 27, 9 = -6*i + 3*i. Let n = -1682/1547 + 7/442. Find the common denominator of j/(-44) - 59/(-36) and n.
126
Let v(k) = 28*k + 6. Let d be v(6). What is the smallest common multiple of 2/6 - d/(-18) and 18?
90
Let f = 5074 - 385579/76. Find the common denominator of f and 103/12.
228
What is the common denominator of 2/3 - 1/(192/218) and 11/10?
160
Suppose 1 = s - 6. Calculate the common denominator of (-5815)/2100 - (-2)/s and 39/2.
60
Let q(j) = -2*j**2 - 14*j + 2. Let v be q(-7). Find the common denominator of -1 - (v + 58/12) and 44/7.
42
Let k be (-8*1)/((-6)/15). Suppose -4*r + 3 = -3*c + 15, -5*c - 3*r = -20. Suppose -c*m - k = -84. What is the least common multiple of 6 and m?
48
Let v = 34595 + -2075801/60. Calculate the common denominator of v and 11/2.
60
Suppose 9*d = 11*d - 8. Let k(t) = -t**2 + 3*t + 12. What is the least common multiple of 36 and k(d)?
72
Suppose -4*g - 75 = -9*g. Calculate the common denominator of 11/8 and (5 - 1) + 33/g.
40
Let u be (-8)/((-64)/(-12)) + 2/(-4). What is the common denominator of 20/11 and (-255)/(-126) + (u + 3)*2?
462
Suppose 5*v + 2*u = -0*v - 5, -3*v - u = 2. What is the lowest common multiple of 22 and v?
22
Let c(k) = -k**2 - 8*k + 7. Calculate the least common multiple of c(-5) and (-8)/(40/(-15)) - -5.
88
Let h = -312 - -351. Calculate the lowest common multiple of 27 and h.
351
Suppose 0 = 4*x + 10 - 66. Let r = 46 + -77. Let n = -11 - r. What is the lowest common multiple of x and n?
140
Let f = 269135/24 + -11216. What is the common denominator of -107/42 and f?
168
Suppose 0 = -2*f - 3*f + 35. Suppose 9*k - f*k = 32. What is the lowest common multiple of k and 20?
80
Suppose 2*t + 11 = r, -71 = -5*r - 11*t + 13*t. Calculate the smallest common multiple of r and 10.
30
Let c be 11/33 - 217/3. Let d = c - -248. What is the common denominator of -9/16 and (-2)/11 - 419/d?
16
Calculate the least common multiple of (-5)/(-35) + (-1236)/(-21) and 20.
1180
Let r = -16 + 23. Let a = 2 + r. What is the lowest common multiple of 3 + -2 - -2*1 and a?
9
Let d = -255 + 282. What is the lowest common multiple of 39 and d?
351
Let b = 249833/14 - 17853. Let w = -2627/234 - -622/39. Calculate the common denominator of w and b.
126
Let b = 10 - 8. Calculate the least common multiple of b and ((-128)/28 - -4)*210/(-12).
10
Let m = -91 - -56. What is the smallest common multiple of (-12)/(-6)*m/(-10) and 36?
252
Suppose -2*v + 13 = 3*d, -6*d - 2*v + 16 = -2*d. Suppose 4*t - 11 = -3. Calculate the smallest common multiple of d and t.
6
Let i = -56 - -67. Suppose 12*s - i*s - 3 = 0. What is the least common multiple of s and 37?
111
Let l be -13 - -12 - ((-1)/(-1) + 0). Calculate the common denominator of ((330/(-21))/l)/(36/(-14)) and 41/18.
18
Suppose c + 0*c = 24. Suppose d + u - 10 = 0, -c = -4*d + u + 26. What is the lowest common multiple of 56/(-784) + (-927)/(-42) and d?
132
Let r be -8*(1 + 0)*(-12)/(-6). Let n = 20 + r. Calculate the smallest common multiple of n and 28.
28
Let c(s) = s**2 + 6*s - 16. Suppose 0 = p - 4 - 6. What is the lowest common multiple of 8 and c(p)?
144
Suppose 0 = -5*s - 13 + 143. Calculate the common denominator of 20/81 and s.
81
Let m(i) = 9*i + 2. Let x(f) = -9*f - 3. Let c(u) = 6*m(u) + 4*x(u). Let t be c(1). Suppose 17 + t = -g. Find the common denominator of -23/6 and g.
6
Let l(v) = -5 + 4 - 10*v + 1 - 2. Let q(g) = g**2 + 4*g - 4. Calculate the lowest common multiple of q(-6) and l(-1).
8
Let b(u) = -12*u + 3*u - 10 + 17*u**3 - 16*u**3 - 11*u**2. Let h be b(12). Calculate the common denominator of h*(-2)/88 - 3 and 107/14.
154
Calculate the common denominator of 53/12 and 13/(-39) + 214/(-24) + -2.
12
Let x = -7816403/165 - -47372. Find the common denominator of x and -109/18.
990
Let h be (-5)/15 - (207/(-11) - -3). Let z = -1/66 - h. What is the common denominator of z and 57/7?
14
Find the common denominator of 1/120 and (-8)/36 - 831/(-1188).
1320
Let h = -1065/4 + 265. Calculate the common denominator of h and (36/(-252))/(8/(-35)).
8
Let o be (-4)/10 - (-44)/10. Suppose -4*t + 5*j + 0*j + 4 = 0, -o*t + 3*j = -4. What is the lowest common multiple of t and 30/8 + 2/8?
4
Let a = 57551 + -228791/4. Let s = -1069/3 + a. Calculate the common denominator of s and -21/22.
132
Suppose r - 3*q = 2, 12 = 4*r - q - 7. Let c be r/(2580/(-9))*-4. Let v = c + 855/688. Find the common denominator of v and -25/18.
144
Su