 -0*a - s. Calculate the least common multiple of a and 8.
8
Let p be 20/6*(-135)/(-25). Suppose 5*q = -2*i + p, 4*q = 5*q. What is the least common multiple of 11 and i?
99
Let y = 46898/5565 + 1/795. Calculate the common denominator of -67/10 and y.
70
Let t(o) = 198*o - 2. Let r = 6 + -1. Let q be t(r). Calculate the common denominator of -43/20 and (-6)/(-10) + q/320.
80
Calculate the common denominator of (-10)/(-45) + (-586)/126 and (-178)/24*-2 + -2.
42
Suppose -4 - 6 = 5*i, 4*j = 5*i + 42. What is the least common multiple of (0 - 2)*(-10)/4 and j?
40
Suppose 4*w + 5*x + 47 = -1, -2*w + 2*x - 24 = 0. What is the common denominator of 77/4 and (w/64)/(6/(-22))?
16
Let f be -3 + (-30)/(-2) - 0. What is the smallest common multiple of (16/f)/((-2)/(-9)) and 12?
12
Let s = 163/2 - 353/4. What is the common denominator of 1/((-28)/86) + 2 and s?
28
Suppose -c + 4*c - 36 = 0. Calculate the least common multiple of 5 and c.
60
Let b be 1605/(-468) + 2*1. Let i be (5/20)/(13/18). Let n = b + i. Find the common denominator of -115/6 and n.
12
Let c be -2 + 10 - -1 - 1. Suppose 4*f - c = -0. Calculate the smallest common multiple of 3*(0 + 1)*1 and f.
6
Find the common denominator of 2 + -1 - 158/(-40) and -3/10.
20
Let f(q) = 2*q**2 + 7*q - 7. Suppose 4*b - 5*b + 7 = u, 5*u + 25 = 0. Calculate the smallest common multiple of b and f(-5).
24
Let n(o) = -7*o**3 + o**2 + o. Let c be n(-2). Let t = c + -40. Find the common denominator of 11/14 and (-3)/t - (-156)/16.
84
Let m = -202 - -454. What is the common denominator of -109/6 and 1902/m - 4/(-6)?
42
Let t(z) = -z**3 + 9*z**2 - 9*z + 8. Let u = 28 + -20. Let v be t(u). What is the lowest common multiple of 14 and 20 - (-1 - -1 - v)?
140
Find the common denominator of -51/4 and (2 + -2)/(-2) - 195/(-12).
4
Suppose -1 - 8 = -3*t. Calculate the lowest common multiple of 4*4/8 + 2 - 2 and t.
6
Let s be (237/27)/((-2)/(-48)). Let y = s - 6913/33. Find the common denominator of -35/2 and y.
22
Suppose -5*v = 0, -4*v + 16 = 4*z - 5*v. What is the smallest common multiple of 2 and z?
4
Suppose -4*o = -4*i + i + 40, 4*i - 5*o - 52 = 0. Calculate the least common multiple of 2 and i.
8
Suppose -29 = -4*h + 7. What is the lowest common multiple of 12 and h?
36
Find the common denominator of 12/(-8)*249/27 and -119/18.
18
Let a(s) = s + 54. What is the lowest common multiple of 4 and a(-10)?
44
Let k(h) be the second derivative of h**4/12 - h**3/2 - h**2 + h. Calculate the smallest common multiple of k(-3) and 6.
48
Suppose -64 = -19*o + 15*o. Let f be (-52)/(-12) - (-1)/(-3). Suppose -p = -5*p + 3*z + 44, 0 = -f*z - o. What is the least common multiple of p and 4?
8
Calculate the common denominator of 19/75 and (-10)/(4 + -24) + 230/(-36).
225
Calculate the common denominator of -97/10 and (372/14)/(1 + (-2 - 3)).
70
Let v(x) = -x**3 + 9*x**2 + 2*x - 15. What is the smallest common multiple of 2 and v(9)?
6
Calculate the least common multiple of 40/16*4/5 and 18.
18
Suppose -4*s - 10 = 5*l, -3*s + 4*s + 8 = -4*l. Let m(r) = -6*r - 2. Calculate the lowest common multiple of 10 and m(l).
10
Let d(j) = j**2 + 2 + 1 + 12*j - 15. Calculate the smallest common multiple of d(-14) and 20.
80
Let g = 15 - -1. Suppose -3*f + 7 - 1 = 0. Suppose 0 = -3*n - f*n - l + 82, 0 = -4*n - 4*l + 72. What is the lowest common multiple of n and g?
16
Calculate the common denominator of 64/9 and 26/(-10) + (-5 - -6).
45
Let y(o) = 11*o**3 - o**2 - o + 1. Let l be y(1). Let p(k) = -3*k**3 + 3 + 0 + k**3 + 10*k**2 + k**3. What is the least common multiple of 8 and p(l)?
24
Let x = -27/19 - 679/57. Suppose 0 = l + 2*h + 13, 3*l + 96 = -l + 3*h. Calculate the common denominator of 4/(-12) + l/(-1) and x.
3
Suppose 0 = -4*i - 106 + 30. Let y = -35 - i. Calculate the common denominator of -87/2 and (-94)/y - (-2 - -3).
8
Suppose -4*g = -l - 0*l - 17104, -2*g - 3*l + 8538 = 0. Let o be (-5570)/g + (1 - 1). Let k = -1/342 - o. What is the common denominator of 101/6 and k?
30
Let x(l) = -l - 174. Let b be x(0). Calculate the common denominator of 1 + (b/(-27) - -1) and -81/8.
72
Let w be (2 - (-2 - -17)) + 1. Calculate the common denominator of (-126)/8*2/w and -55/8.
8
Suppose 4*j - l - 5 = 0, 14 = 2*j + 2*j + 2*l. Let r = 8 - j. Calculate the least common multiple of 6 and r.
6
Let q(v) = -8*v - 1. Find the common denominator of q(5) and -103/6.
6
Suppose 2*a + 5*w - 28 = 0, -2*w - 3 - 1 = 0. What is the lowest common multiple of a and 7?
133
Suppose -2*k - 4 = 2*k, -3 = -2*w - 5*k. Suppose 0 = -w*j + 20, 0*q = -2*q + 5*j - 1. What is the smallest common multiple of 22 and q?
132
Let f = 25 + -23. Calculate the lowest common multiple of 7 and f.
14
What is the least common multiple of 1 - (3 + -4*3) and 10?
10
Let b = -4376 - -1038. Let k = b + 73407/22. Let p = -44/241 - 20263/3856. Calculate the common denominator of p and k.
176
Suppose -2*d = -d - 8. Find the common denominator of 3/8 and -2 + 182/d + -1.
8
Calculate the common denominator of -71/16 and 0 + 188/(-32) + -4.
16
Let l = 203679 - 4072599/20. Let x = -229/5 + l. What is the common denominator of 51/10 and x?
20
What is the common denominator of 83/2 and (-245)/66 + (-1)/(-6)?
22
Suppose 21 = -2*c - 1. Calculate the common denominator of c and 2 + (-2 - (-165)/(-21)).
7
Suppose -3*l + 42 = l - 5*g, -3*l + 16 = 4*g. What is the smallest common multiple of 5 and l?
40
Let f = 245/1317 - -224763049/28974. Let i = -7754 + f. Calculate the common denominator of (-290)/24*(-2)/15 and i.
198
Suppose -3*k + x - 202 = 0, 271 = -3*k - k + x. Find the common denominator of -47/16 and k/(-16) - (9 + -10).
16
Suppose -2*k = 5*c - 30, 5*k = -3*c + 7*c - 57. What is the lowest common multiple of c and 1?
8
Suppose 381 = -5*q - 329. What is the common denominator of (-1 - (-21)/24)*q and -1 + -2 + (-141)/(-60)?
20
What is the common denominator of (-2)/78*1/(6/(-54)) and 67/10?
130
Let m = -67929 + 269343/4. Let q = -580 - m. Calculate the common denominator of -89/10 and q.
20
Let x be (-250)/(-2 - (-14)/5). Let q = x + 302. What is the common denominator of q and -123/10?
10
Suppose -68 = -5*z - 8. Calculate the smallest common multiple of 14 and z.
84
Let t = 971 - 3907/4. What is the common denominator of t and -95/8?
8
Suppose -4*f + 0*f + 528 = 0. Suppose -141 + 17 = 4*o + 2*c, -4*o = 4*c + f. Find the common denominator of -151/6 and o/(-9) - 10/15.
18
Find the common denominator of (-90)/(-474)*3/2 and 31/22.
1738
Suppose -9*y + 69 = -21. Calculate the smallest common multiple of y and 50.
50
Let t = -115 + 195/2. Find the common denominator of 52/11 and t.
22
Let v be (-2)/13 - 28/(-13). Suppose 3*y = 5*n + 62, y - 22 = -0*y + v*n. Suppose -55 = -2*c - 19. Calculate the lowest common multiple of y and c.
126
Let x = 3035/2 - 1478. What is the common denominator of x and 33/52?
52
Let w = 142003 - 245638. Let n be 2/(-10) + (-872882)/w. Let f = n + -1/2303. What is the common denominator of f and 34/9?
9
Calculate the lowest common multiple of 4*436/72 + 2/(-9) and 30.
120
Let b = 152/227 - 25359/3632. What is the common denominator of b and 85/8?
16
Let q = -2326/9 - -258. Calculate the common denominator of q and 25/24.
72
Let p(s) = s**2 + 13*s + 14. Let v be p(-10). Let c = v - -21. What is the lowest common multiple of 11 and c?
55
Let m(u) = u**3 + 4*u**2 + u - 4. Let z be m(-3). Suppose 0 = -5*q + z*q. Suppose q*l = 5*l + 165. What is the common denominator of l and 45/11?
11
Let a = 69/5086246 + 17793968417666/7629369. Let f = -2338704 + a. Let i = 6419 + f. Find the common denominator of 121/6 and i.
6
Suppose 0 = 2*r - 0*r - 18. Calculate the smallest common multiple of 4 and r.
36
Let u be 0 - 0 - 3400/3. Let p = -67883/60 - u. Find the common denominator of p and -115/14.
140
Let x(i) = i**3 + 4. Let d be x(3). Let g = -21 + d. What is the lowest common multiple of 8 and 38/5 - (-4)/g?
8
Suppose 2*p - 5*p = -204. Suppose 4*i + p = 2*x, i = -2*x + 2*i + 83. Let s = x + -28. What is the smallest common multiple of s and 16?
16
Let m(n) = 3*n**3 + 3*n**2 - 8*n + 4. Let x(u) = u**3 - u**2 - u + 1. Let a(b) = m(b) - 4*x(b). Calculate the smallest common multiple of 4 and a(6).
12
Let k(b) = -b**2 - 3*b. Calculate the smallest common multiple of k(-2) and (44/5)/((-1