0
Find the common denominator of (-137)/12*(1 + 1) and -37/22.
66
Let j(s) = s**3 + 3*s**2. Suppose -2*w = -6*o + o + 8, -3*w = -4*o + 12. Let z be j(w). Let t = 49/4 + z. Calculate the common denominator of -49/4 and t.
4
Suppose 0 = -4*q - 9 + 41. Calculate the least common multiple of q and 11.
88
Suppose 4*t = 7 + 13. Suppose -4*s = 3*b + b + 4, -s - 16 = -4*b. Calculate the least common multiple of b and 43/5 - (-2)/t.
9
Suppose -35 - 5 = -4*x. What is the lowest common multiple of 14 and x?
70
Let a(v) = 1012*v + 3. Let z be a(-5). Let k = z - -50523/10. What is the common denominator of k and 89/22?
110
Suppose 13 = 3*c + 2*k, -4*c + 4*k + 6 = 2. Calculate the least common multiple of 8 and c.
24
Find the common denominator of 17/32 and (4 - -27 - 4)/8.
32
Suppose 3*c = -i - i + 47, -4*i + 2*c + 86 = 0. Calculate the common denominator of -13/2 and 279/3*1/i.
22
Let l = -220417/39835 + -2/23901. Calculate the common denominator of -59/8 and l.
120
Let t(k) be the second derivative of k**5/20 + k**4/3 + k**2 + 4*k. What is the least common multiple of t(-4) and 4/(-14) + (-58)/(-7)?
8
Let k = -1933/2 + 23303/24. Calculate the common denominator of k and 31/12.
24
Let o(l) = -l + 22. Let s be o(0). Suppose 6*u - s = 5*u. Let v = -4 + 22. Calculate the least common multiple of v and u.
198
Let u be -1163*(-2 + 1 + 2). Let p be (u/(-10))/(2/4). Let w = p - 8026/35. Calculate the common denominator of -15/2 and w.
14
Let v = 1406/11 - 125. Suppose -q - 4*f - 134 = 0, 3*q + f + 402 = -0*q. Find the common denominator of q/(-20) + (-2)/(-1) and v.
110
Let z = 150 - 247. Let m = -185/2 - z. Find the common denominator of m and -89/6.
6
Let q(c) = c**3 - 15*c**2 + 20. Let r = 75 - 53. What is the smallest common multiple of r and q(15)?
220
Let d = 311 - 601/2. What is the common denominator of 284/(-6)*14/28 and d?
6
Suppose c = 2*i - 3*c - 12, -4*i + 4*c + 24 = 0. Calculate the lowest common multiple of 7 and i.
42
Calculate the common denominator of 4/(-6) + (-238)/(-60) and 35/(-6)*(3 + (-238)/49).
30
Let p(w) = w**2 + 9*w - 16. Let b be p(-11). Suppose -z - 2*j = 258, -3*z = 2*j - b*j + 814. What is the common denominator of (-3 + 4)*z/(-24) and 93/4?
12
Let m be ((-1293)/(-6))/(-1)*114. Let g be (-3 + m/(-36))*7. Let r = g - 4752. What is the common denominator of r and -59/4?
12
Suppose 2*g = 5*v - 4*v, -2*v = 2*g. Suppose -5*f + 5*r + 110 = v, 7 - 3 = -2*r. Let m = 42 - f. What is the smallest common multiple of m and 6?
66
Let f = 9 - 21. Let h = f + 20. Suppose 3*i - 33 - 27 = 0. Calculate the lowest common multiple of i and h.
40
What is the common denominator of 17/24 and 3 + (6/(-9))/1?
24
Suppose -16349 + 45809 = -6*q. Let r = -68815/14 - q. What is the common denominator of -91/8 and r?
56
Let q = 118849/10 + -11875. Calculate the common denominator of -22/5 and q.
10
What is the common denominator of ((-8)/16)/(8/98) and -131/6?
24
Let l(q) = 11*q - 38. What is the smallest common multiple of 21 and l(4)?
42
Let i = 23 - 9. Calculate the common denominator of -83/2 and (i/(-24))/((-45)/(-351)).
20
Let f(v) = 15*v**2 + 17*v - 7 - 6 - v**3 + 2. Calculate the lowest common multiple of 2 and f(16).
10
Let g = 4025333/76 + -52955. Let p = 402/19 - g. Calculate the common denominator of p and 4/5*(4 + 0).
20
Suppose 10 = -0*u + u. Suppose -q - 7 = u. What is the common denominator of q*(-2)/(-8)*-3 and 46?
4
Calculate the common denominator of 109/6 and 1 + (99/6 - 0).
6
Let f = 43 + -27. Let k(c) = c**2 - 3. What is the smallest common multiple of k(-5) and f?
176
Suppose 0 = 2*s - 5 + 39. What is the common denominator of -7/2 and s?
2
Let j = 30 + -14. Calculate the smallest common multiple of j and 6.
48
Let z = -7 - -16. Let c(k) = -k**2 - 3*k + 5. What is the smallest common multiple of c(-4) and z?
9
Let o = -24 - -25. What is the smallest common multiple of o and 6?
6
Let m = -5692 - -28318/5. Let s = m + 134/5. Calculate the common denominator of -37/5 and s.
5
Let k = 231/34 - 150167/22100. Let p = -3577/2600 - k. Find the common denominator of p and -99/8.
8
Suppose -5*s - 7 = -97. Let i(j) = 2*j**2 + 2*j + 2. Calculate the lowest common multiple of i(-2) and s.
18
Let j(o) = -o**3 - o**2 + 1. Let q(u) = -2*u**3 - 6*u**2 - 2*u + 4. Let v(k) = -4*j(k) + q(k). Calculate the lowest common multiple of 8 and v(2).
8
Calculate the common denominator of 7 and (1/48*38)/1.
24
Let r(v) = v**3 - 4*v**2 + 2*v - 5. Let x be r(4). Suppose -x*n = 0, 5*w - 3*n = 38 - 3. Calculate the smallest common multiple of 11 and w.
77
Suppose 3*j = 8*j - 40. Calculate the common denominator of (-2)/j + 596/48 and 43/2.
6
Let w = -41 + 49. Calculate the smallest common multiple of w and 18.
72
Suppose -5*s = -4*i - 1, 5*i = -3*s - 3 + 11. What is the least common multiple of 6 and i?
6
Let j(q) = 5*q - 12 - 19*q + 17*q**2 - 6*q**2 + q**3 - 3. Calculate the least common multiple of 9 and j(-12).
9
Calculate the common denominator of (-3)/(-12) - 716/(-176) and 67/2.
22
Suppose 5*x - i = 50, 2*x = -0*x + 2*i + 12. Let q = -3 + 3. Suppose 0*p - 2*p + 4 = q. Calculate the smallest common multiple of p and x.
22
Let p = -13 + 18. Suppose 0 = -p*d + 10, -3 = 4*k - 3*d - 13. What is the smallest common multiple of k and 18?
36
Let w = 332611/202213 + 2/6523. Let d = -1/365521 + 35880021/2924168. Let c = d - w. What is the common denominator of c and 11/9?
72
Let w = -2627/2 + 1284. Calculate the common denominator of -93/10 and w.
10
Let k = -104 - -52. Find the common denominator of -95/22 and (-18)/k - 6/(-39).
22
Let w = -3/706 - 25235/1059. Let c = -1119 + 5646/5. What is the common denominator of c and w?
30
Suppose 0 = 2*s + 5*w - 0*w - 39, 2*w = 2*s - 18. Suppose 2*y - s = -0*y. Suppose 0 = -2*r + 12 + y. Calculate the lowest common multiple of 11 and r.
99
Let j = -9 + 18. Calculate the smallest common multiple of j and 2.
18
Let s(i) = 2*i. Let x be 6/2 - (6 + -4). Let c be s(x). Suppose 0 = -c*y - 6 + 18. Calculate the least common multiple of 4 and y.
12
Let o = 6509/4 + -1644. Let w = -53553/13460 - 48/673. Find the common denominator of o and w.
20
Let u(c) = -4*c - 30. Calculate the smallest common multiple of u(-8) and 14.
14
Let o = 4 + -4. Suppose -d + 1 + 1 = o. Let a = 8 + -6. What is the least common multiple of d and a?
2
Find the common denominator of -14 - -15 - (-2)/(4/3) and 179/30.
30
Let j = 0 - -1. Calculate the least common multiple of 6 and j.
6
Let r be (1 - 2)/(3/6). Let u be r/4 + (-10605)/216. Let c = -488/9 - u. What is the common denominator of 81/4 and c?
8
Let v = 2/2013 + -20815/14091. Find the common denominator of 1/9 and v.
63
Let a(o) = o**2 + 8*o - 9. Let t be a(-8). Let h = t + 12. Calculate the smallest common multiple of 11 and h.
33
Suppose 0 = 5*t, 3*t - 46 = 4*m - 2*m. Calculate the common denominator of m and -10/9.
9
Suppose -19*v + 163 = -521. What is the lowest common multiple of 9 and v?
36
Let q(h) = -h**2 - 6*h - 2. Let d be q(-5). Suppose 6 = d*v - 24. Calculate the least common multiple of 0 + 4 - 32/(-2) and v.
20
Suppose 31 = 5*l + 1. Suppose 3*r + 12 = -l. What is the lowest common multiple of 1 and (r/(-4))/(3/20)?
10
Let u(k) = -k + 24. What is the smallest common multiple of 10 and u(14)?
10
Suppose 4*s = -x - 2*x + 37, -3*s + 47 = 4*x. Calculate the least common multiple of 1 and x.
11
Suppose y + 3*w + 5 = -2, -4*w = 3*y + 1. What is the least common multiple of ((-6)/10)/((-1)/y) and 3?
3
Let n = 97 + -57. Suppose -4*y + 0*f - 2*f + n = 0, 10 = -5*f. Calculate the least common multiple of -1 - -2 - -2*3 and y.
77
Suppose 2*s = 3*c - 5*c, -3*c = 4*s + 2. Calculate the least common multiple of 7 and c.
14
Find the common denominator of (-1904)/(-192) + 3/(-4) and 9/2.
6
Let d be 26830/36*(-4 + 7). Let h = d - 2260. Find the common denominator of h and -17/9.
18
Suppose -1940 = -3*k + 5*k. Let c = 3827/4 + k. Calculate the common denominator of c and 115/12.
12
Let q = 3318 - 39839/12. Find the common denominator of q and 95/34.
204
Let m(l) = -l + 26. Let b be m(13). Suppose 6*p + b = 37. Let k(n) = -4*n - 2. Calculate the lowest common multiple of p and k(-2).
12
Let a = -22087/4 - -5706. Let j = a + -361/2. What is the common denominator of 5/(220/(-212)) - -3 and j?
44
Find the common 