ose -b*z + r = -56. Calculate the least common multiple of z and 22.
176
Suppose 4*y = y - 15. What is the least common multiple of 7 and ((-9)/2)/(y/10)?
63
Let z(v) = -v**3 - 8*v**2 + 6*v - 13. Let n = 5 - 2. What is the smallest common multiple of z(-9) and n?
42
Let g = 166/21 - -16/21. Suppose -20 = -4*d, -y + 2*d + 1 = 6. Calculate the common denominator of g and 204/40 + (y - 2).
30
Let z = 29 + -26. Calculate the smallest common multiple of z and 8.
24
Suppose -2*d = 4*j - 224, -5*j + 2*d = -3*d - 310. Let k = j - 235/4. What is the common denominator of -43/2 and k?
4
Let c = 20 - 17. Calculate the lowest common multiple of c and 7.
21
Let i(a) = a + 9. Calculate the lowest common multiple of 4 and i(-7).
4
Let p = -3533/5 + 704. Let z = -17 - -56/5. Find the common denominator of z and p.
5
Suppose -3*u + 8 = -b, 0*u = 5*u - 3*b - 8. Calculate the smallest common multiple of u and 8.
8
Suppose 0 = -a - 6*j + 2*j + 12, 48 = 4*a - 3*j. Calculate the lowest common multiple of a and 4.
12
Let c = 316055/18 - 17554. Find the common denominator of 13/42 and c.
126
Let b(y) = 100*y**3 + y**2 - 2*y + 5. Let p be b(4). Let k = p + -11005. Let r = k + 73443/16. Calculate the common denominator of -49/4 and r.
16
Suppose -3*r = r. Find the common denominator of r and 41/10.
10
Let j = -1093/10 - -552/5. Find the common denominator of (7/4)/7 - (-25)/(-2) and j.
20
Let t = 9/449 - 23025/6286. What is the common denominator of 59/2 and t?
14
Let b be 4/6*(-42)/(-4). Calculate the common denominator of 2 + 2*70/(-16) and (b/70)/((-1)/83).
20
Let h(z) = 3*z**2 - 5*z + 3. Let w(i) = -4*i**2 + 5*i - 3. Suppose -2*q = -q - 3. Let l(k) = q*h(k) + 2*w(k). Calculate the least common multiple of 4 and l(6).
36
Suppose 0 = -2*k + 6*k. Suppose 5*s + 45 = -k*s - 3*g, 27 = -3*s - 2*g. Calculate the smallest common multiple of 14 and s/(-4)*32/6.
84
Let w = 3 - 1. Calculate the smallest common multiple of w and 3.
6
Suppose -d - 1 = 3. Let n(i) = 6*i - 3. Let s(p) = 7*p - 4. Let y(o) = -6*n(o) + 5*s(o). Calculate the least common multiple of 5 and y(d).
10
Let j = 2/6781 - -413621/67810. What is the common denominator of -2 - -4 - 18/(-40) and j?
20
Let r(u) = 5*u - 4*u - 3*u. What is the least common multiple of r(-9) and 16?
144
Suppose 0 = 5*k, 4*i + 2*k = -3*k + 4. What is the least common multiple of 6/5 + 1/(-5) and i?
1
Let c(x) = -3*x**2 - x. Let p be c(1). Let n be (-2)/p + (-1257)/2. Calculate the common denominator of -23/6 and n/(-80) - (3 - 1).
60
Suppose 8*b - 3*b + 20 = 0. Let o be (-11)/(-4) + 3/b. Suppose 34 + o = 3*r. What is the lowest common multiple of r and 16?
48
Suppose -88 = -5*v + 2. What is the smallest common multiple of v and 1 - (-22 + 2 + -1)?
198
Let d = -3388 + 47451/14. Find the common denominator of d and 107/390.
2730
Suppose 0*j = -j + 365. Let p = 789/2 - j. What is the common denominator of 7/9 and p?
18
Let o(m) = 3*m**3 + m - 2. What is the smallest common multiple of o(1) and 122/14 + (-4)/(-14)?
18
Suppose 0 = -3*i - 2*v + 16 - 0, 0 = -3*i + v + 1. Suppose 0 = 2*f + 3*f - 25. What is the smallest common multiple of f and i?
10
Let o be (942/((-6)/(-2)))/(-1). Let u be (o/(-3))/((-1)/3). Calculate the common denominator of 43/2 and (-2)/(-9) + u/(-126).
14
Let t = -5 - -8. Let w = 0 + t. Suppose 2*h + w*h = 10. Calculate the least common multiple of 16 and h.
16
Suppose 3*l + 1 = 28. Find the common denominator of 25/4 and (231/l)/(20/(-6)).
20
Suppose 0 = 4*q + 3*d, -7*q - 5*d = -2*q. Suppose q = -2*r + 3 + 1. Calculate the smallest common multiple of r and 6.
6
Suppose 884 = -3*x + 4*s - 749, 0 = 5*x - s + 2750. Let h = 10976 + -109661/10. What is the common denominator of h and 2/10 + x/30?
30
Let q(l) = l**2 + 9*l + 10. Let j be q(-8). Suppose -j*p - 12 = -5*p. Let t(u) = 3*u - 1. Calculate the smallest common multiple of p and t(4).
44
Suppose 0*j - 2*j = 3*g - 19, -4*j - 12 = -4*g. Calculate the common denominator of 3 - ((-24)/14 + j) and (-2*3)/((-20)/(-28)).
35
Suppose 0 = 4*p + p + 40. Find the common denominator of 67/2 and (-13)/45 - p/20.
18
Suppose -6*v = -5*m - v + 10, 2*v = -5*m + 10. Suppose -r - 82 = -0*r - 4*p, 0 = 5*r - 4*p + 474. Calculate the common denominator of m/(-4)*(r - 3) and 65/2.
2
Suppose 5*a + 5*z = 15, -6*z + 3 = -5*a - 2*z. What is the smallest common multiple of -2 + 20 + (-1 - a) and 20?
80
Let d be 0 - 1/(-1 + 0). Calculate the common denominator of d/(10/39) - 0 and (-2)/9 + 406/(-36).
10
Suppose -7*d + 43 = -34. Calculate the least common multiple of 2 and d.
22
Let x = 1942614269/202 - 9616930. Let g = 18/101 + x. What is the common denominator of (2 - 0)*182/(-8) and g?
2
Let n(g) = -g**3 + g**2 - 3*g - 4. Let k = 723/8 + -87. Calculate the common denominator of k and n(-3).
8
Suppose -4*m - 94 = 5*k, 0*m + 1 = -m. Find the common denominator of -95/8 and ((-3)/k)/((-16)/(-366)).
16
Let t be 3/(-2)*48/(-18). Suppose t*d + 8 = 2*d - 3*y, -3*d - 3*y = 6. What is the smallest common multiple of (7 - d)*16/10 and 8?
8
Calculate the common denominator of (-42)/(-63)*(-486)/(-32) and 20.
8
Let c be (14 - (0 - 0)) + 1. Let g = c - -6. Calculate the common denominator of -127/6 and g/(-18)*290/(-14).
6
Find the common denominator of 1/(-5) + (-331)/(-30) and -41/4.
12
Let d = -2545/4 - -628. Find the common denominator of (-72)/(-3) + 1/2 and d.
4
Let m be (1 - -1 - 1)*7. Let b = m + -4. Calculate the least common multiple of 2 and b.
6
Suppose 0 = -2*p + 2*m - 36, 3*p + 6*m - 2*m = -82. Let g = -2 - p. What is the least common multiple of g and 20?
20
Let s be 1 + 1 + (-1026)/511. Let c = -11721/4088 + s. What is the common denominator of c and 79/6?
24
Let l = -36232/11 + 3297. Suppose -2*a + 26 = -6. What is the common denominator of -4*(2 - 62/a) and l?
22
Suppose 2*q + 7 = -3. Calculate the smallest common multiple of (-2)/q + 46/10 and (-12)/9*-3 - -2.
30
Let j = -16 - -20. What is the lowest common multiple of j and 2?
4
Suppose 3*j - 58 = -c, 8*j - 92 = 3*j - 4*c. Calculate the smallest common multiple of 16 and j.
80
Calculate the common denominator of -22/41 and (182/(-12))/((-12)/(-8)) - -2.
369
Suppose -v = -3*v + 20. What is the smallest common multiple of 22 and v?
110
Calculate the least common multiple of 9 and ((-1)/(-3))/(8/24).
9
Find the common denominator of (-1 - (-3)/6)/(130/230) and -14.
26
Suppose 3*i + 6 = 0, -f + 0*f - 5*i = 9. What is the least common multiple of 5 and (-130)/(-15) + f/3?
45
Calculate the common denominator of 1582/(-280) + -1 + 2/5 and 66/(-16) + 1 + -1.
8
Let u(p) = -25*p - 3. Let w(f) = -3*f + 5. Let y be w(4). Let r(k) = k**2 + 6*k + 7. What is the lowest common multiple of u(-1) and r(y)?
154
Let d be (-3 - -1) + 23 - 3. Suppose 3*g - d = g. Let w(z) = z**3 - 8*z**2 + z - 5. What is the lowest common multiple of g and w(8)?
9
Let s be -3*(-8)/6*-8. Calculate the common denominator of s/(-130)*(-15)/(-2) and 13/3.
39
Let o(w) = -w**3 + 9*w**2 - 7*w - 7. Let m be o(8). Suppose 3*j - 7 + m = 0. What is the lowest common multiple of 9 and j?
18
Let c(w) = w + 2. Calculate the lowest common multiple of c(4) and 4.
12
Calculate the common denominator of -3 + (0 - (-67)/(-14)) and 87/4.
28
Let b(y) = -5*y. Let d be b(-1). Let z = 0 - -1. Suppose -3*q + 29 = -2*n, -q + 2*q = d*n + z. Calculate the lowest common multiple of 6 and q.
66
Let s(l) = -9*l + 4*l - l**3 + 4*l**2 + 7*l - 2 + 3. What is the smallest common multiple of s(4) and 4?
36
Let l(q) = -q**3 + 7*q**2 + q - 1. Suppose -18 = -3*t + 30. Calculate the lowest common multiple of l(7) and t.
48
What is the common denominator of 43/62 and (46/42 + -1)/(16/12)?
434
Let j(k) = -6*k - 9. What is the lowest common multiple of 26 and j(-2)?
78
Suppose 45 = -x + 3*r, 2*r + 207 = -5*x - r. Let v = 443/132 + -20/33. What is the common denominator of (-6)/18 - (-103)/x and v?
28
Suppose 2*n - 84 = -382. What is the common denominator of 11/(-308) - 1/4 and (-2 + 13/6)*n?
42
Let q(l) = 8*l**2 + l - 2. Let b be q(2). Suppose 3*s - 12 = 2*i - i, -4*s - 3 = 5*i. Suppose -22 = -s*a + b. Calculate the least common multiple of 12 and a.
36
Let j = -228 + 2273/10. Let l = -392310796549/2704 - -145085356. Let a = l - 10/169. Calculate the common denominator of j and a.
80
Let d(u) = -u**3 - 1. Let n