 Let k = 1/206 - d. Calculate the common denominator of k and -1/6.
12
Let w = 23/39 - 2683/780. What is the common denominator of w and -45?
20
Let n = 552 - -1563. Let k = 487 - n. Let t = 3187/2 + k. What is the common denominator of -35/3 and t?
6
Let m = 16739/12 + -1394. What is the common denominator of m and (-42)/9*15/8?
12
Let h = 13 - 9. What is the lowest common multiple of 11 and h/10 + 18/30?
11
Let z(j) = -j - 3. Let p = 4 + 1. Suppose -5*u + p = -10. Calculate the smallest common multiple of u and z(-7).
12
Let a = 2881/6 + -490. What is the common denominator of 139/6 and a?
6
Suppose 0 = 3*q + 9, -q - q - 30 = -2*n. Calculate the least common multiple of n and (2/(-4))/((-1)/4).
12
Let l be 15/(-2)*20/15. Let f = -4 - l. Calculate the lowest common multiple of 6 and f.
6
Calculate the common denominator of -15/29 and (-530)/(-200) - -1*(-2)/8.
145
Suppose -3*z + 8*z + 7 = -3*c, -5*c = -z - 7. Let u(o) = -2*o + 15*o**2 + 2*o - 1. Calculate the lowest common multiple of 16 and u(c).
112
Let u be ((-9)/(-17436))/(6/(-4)). Let b = -132227/11624 - u. What is the common denominator of 65/8 and b?
8
Suppose 32 = -4*f + 5*k - 2*k, -2*f - 3*k = 34. Calculate the common denominator of 2/5 and (-40)/f + (-3 - -1).
55
Let m = 58 - 54. Let j = -3 + 4. Let c(v) = 10*v**2. Calculate the lowest common multiple of c(j) and m.
20
Find the common denominator of (29/(-9) + 3)*-24 and 4/14 - (-6)/28.
6
Calculate the common denominator of (-50)/(-36) + 26/13 and 89/6.
18
Let i be 16/(-72) - 155983/26064. Let h = i + 7/362. Find the common denominator of h and -13/16.
16
Suppose 2*y + 262 = -498. Let v = y + 707/2. What is the common denominator of 113/18 and v?
18
Suppose -4*m = -5*b - 543, -8 + 137 = m + b. Find the common denominator of 2 - (m/56 - -2) and 25/14.
14
Suppose 0 = -4*v + 2 + 2. Let q be (3/2)/((-1)/10). Let n = q - -23. Calculate the smallest common multiple of v and n.
8
Let m = -6 + 4. Let g(j) = -2*j**3 - 2*j**2 + 1. What is the smallest common multiple of (12/(-15))/(10/(-75)) and g(m)?
18
Let f(c) = -c**3 - 8*c**2 - 9*c - 9. Let z be f(-7). Suppose -z*p + 4*p + 22 = 0. What is the smallest common multiple of 10 and p?
110
Let i(s) = -s**3 + 6*s**2 - 6*s + 6. Let l be i(5). Calculate the common denominator of (9/l)/(66/27) and -2 - (0 - (-237)/24).
88
Let g = 179 - 452. Find the common denominator of 54/7 and ((-26)/39)/((-8)/g).
28
Find the common denominator of -37/55 and (0 - -8)*16/(-6).
165
Suppose -2*m - 8 = 2*m. Let j = 8 - -12. Calculate the lowest common multiple of (m - -1)/(7/(-84)) and j.
60
Let f = 6 - 5. Let r(i) = 13*i - 1. What is the lowest common multiple of 10 and r(f)?
60
Let h = -64 - -76. Calculate the lowest common multiple of (-4)/(((-8)/2)/2) and h.
12
Let r = -7 - -11. Let k = r - 8. Find the common denominator of (-4)/(14/k - 2) and 81/8.
88
Suppose -5*m = 25, 0 = -3*b - 2*m + 14 + 12. What is the common denominator of (176/72)/(20/8 + -3) and (-307)/b + 1/4?
9
Let l = 1359/5 - 271. Calculate the common denominator of (1155/(-45))/(8/3) and l.
40
Suppose 3*p = 6*p - 114. What is the lowest common multiple of 4 and p?
76
Let b = 1426 - 2761/2. Find the common denominator of 57/22 and b.
22
Let p = 30551/6 - 5108. Let k = -4752 + 76127/16. What is the common denominator of p and k?
48
Let v be (-35859)/8382 - 1*-3. Let z = v + 18/127. Calculate the common denominator of z and 89/14.
154
Suppose -2*v = -5 + 21. What is the common denominator of ((-3)/v)/((-18)/60) and -75/8?
8
Let c(s) = s**3 + 2*s**2 - 3*s + 2. Let j be c(-3). Suppose -2 = j*h - 4. What is the common denominator of (-134)/(-12) + (2 - h) and -55/2?
6
Suppose 64984 = 5*k - 4*y, -4*y = -3*k + 2*k + 13000. Let r = -5340 + k. Let o = r - 76453/10. What is the common denominator of o and 22?
10
Let k be (6/47)/(4754 + -6). Let y = -499897330/167367 - k. Let w = y + 2963. What is the common denominator of w and 19/6?
6
Let h = 1240/3 + -469981/1137. Let c = h + 25421/1516. What is the common denominator of -44/3 and c?
12
Let u = 11 + -6. Calculate the lowest common multiple of 7 and u.
35
Let p(m) = m**3 - 9*m**2 + m - 6. Let s be p(9). Suppose s*u + 0*u + 1 = -w, 0 = 5*u + 25. What is the least common multiple of w and 6?
42
Calculate the common denominator of 1 + 118*1/4 and -107/6.
6
Suppose -2*k = -3*q + q - 4, 3*k = -5*q + 46. Calculate the least common multiple of 5 and k.
35
Calculate the smallest common multiple of 18 and 18/(-9)*(-5 - -1).
72
Let n(d) = d**3 + 7*d**2 - 9*d - 2. Suppose -31 + 7 = -3*u. Calculate the smallest common multiple of u and n(-8).
24
Let w be ((-15)/6)/(-1 + 0). Let c = -23/10 + w. Let g = 4212/5 - 850. Find the common denominator of c and g.
5
Let a(s) = s**2. Let r(l) = -l**2 - 8*l + 2. Let n be r(-8). Let y = 0 + 1. Calculate the lowest common multiple of y and a(n).
4
Let k(s) = -2*s - 40. Let q be k(-18). Suppose -3*f = 3*z + z - 14, 4*f - 18 = -5*z. Let n = f - q. Calculate the smallest common multiple of n and 20.
60
Let s = 1905 - 4216. Let r = -4/994557 + 46011190571/19891140. Let n = s + r. Calculate the common denominator of n and 1/10.
20
Let n be (-4)/(-24)*(-1691370)/(-22). Let q = n - 12817. Find the common denominator of 1/2 and q.
22
Let f = -19/58 + -611/348. Calculate the common denominator of -41/6 and f.
12
What is the lowest common multiple of (2 + -3)/((-4 + 1)/3) and 22?
22
Suppose -t - 23 = 5*k, 6*t + k + 43 = t. Find the common denominator of (-59)/t + (-2)/2 and 77/16.
16
Let y = 10 + 3. Let a = 9 + y. Calculate the least common multiple of a and 16.
176
Let n = -2208 - -392. Let p = 11041/6 + n. Calculate the common denominator of 11/2 and p.
6
Suppose f = -3*f. Suppose 0*v + 2*v - 4 = f. What is the lowest common multiple of 14 and v?
14
Let r(q) = -2*q - 13. Calculate the least common multiple of r(-12) and 5.
55
Suppose -2 - 8 = -5*y. Suppose 3*w - w = 10. Suppose -2*d = -3*f, 0*f - d = -w*f + 7. What is the least common multiple of f and y?
2
Let s(c) = 2*c - 1. Let u be s(1). Let l(v) = 23*v**2 - v. What is the least common multiple of 8 and l(u)?
88
Let s = 27178/13 + -267693/143. Let c = s - 13843/77. Let l = 241/7 - c. Calculate the common denominator of 44/7 and l.
7
Suppose 5*u - 123 = o, 4*u + 3*o - 47 = 40. Calculate the lowest common multiple of 22 and u.
264
Suppose -3*w = w + 2360. Let h = 1139/2 + w. Find the common denominator of 38/3 and h.
6
Suppose -5*w + 5*g = 10, -5*w + 1 = 4*g + 2. Let c be (w/(-4))/(1/4). Let k = 6 + c. What is the least common multiple of k and 1?
7
Suppose -2*h - 39 = -o, 5*h + 40 = 2*o - 38. Suppose 18 = 2*l - u - o, 5*l - 132 = -u. Let y = -9 + l. What is the lowest common multiple of 22 and y?
198
Let m = -202/33 - -203/132. Let p = -2693/3 + 59045/66. What is the common denominator of m and p?
132
Suppose 2*b = -4*u + 18, 0*u - u = -2*b + 8. What is the lowest common multiple of 10 and b?
10
Let c(u) = -3*u + 2. Calculate the smallest common multiple of c(-2) and 7.
56
Suppose 3*q = -193 + 55. Calculate the common denominator of -6/11 and 0 - (q/16 + 0).
88
Let f be 1/((-16)/(-9))*12457. Let c = 7012 - f. Find the common denominator of c and 55/4.
16
Let z(b) = -b - 5. What is the least common multiple of z(-11) and 24?
24
Let m = 13196/39 + -2023/6. Calculate the common denominator of -21/2 and m.
26
Let d = 2/5 + -89/35. Let j = 3760/3 + -1274. Find the common denominator of j and d.
21
Let c = 13272 + -146574/11. Let b = c - -8245/176. Calculate the common denominator of -5/16 and b.
16
Calculate the least common multiple of 1/2 + 237/6 and 20.
40
Let x = 24/955627 - 2864029911/628802566. Let k = -15/94 + x. Calculate the common denominator of 43/3 and k.
21
Let x(n) = -n + 18. What is the smallest common multiple of 1 and x(9)?
9
Let y = 32 - -4. Suppose 0 = -d + 2*d + y. What is the common denominator of 57/14 and (-110)/d - (2 - 3)?
126
Let f = -15155/10576 + -3/661. Find the common denominator of -5/8 and f.
16
Suppose 0 = 3*g + 3, -2*j - 2*g - g + 7 = 0. Suppose 1 = -3*k - j. Calculate the smallest common multiple of 20 and (-7)/k - (-3)/6.
20
Let i be 3 + 2 - (-1 + 2). Let r(k) = k - 2. Let y be r(i). Suppose -y*z - s = -0*s - 20, -4*s = -5*z + 63. Calculate the smallest common multiple of 4 and z.
44
Let z(r) = r + 2. L