Let f = d + -8. Find the common denominator of 219/(-1)*f/(-9) and -33.
3
Let i = 39 - -1. Suppose 0 = q + 4*q + 90. Find the common denominator of (-13)/q*i/4 and -5/11.
99
Suppose 0 = -4*m + 3*s + 7, 0 = 4*m + 3*s + s - 28. What is the smallest common multiple of m and 3?
12
Suppose 3*l - 2*n - 10 = 0, -4*l + n + 11 = -l. Let z = 7 - -2. Suppose -20 = l*w - z*w. Calculate the lowest common multiple of w and 7.
28
Suppose -5*x + 21 = -24. Calculate the least common multiple of x and 18.
18
Let o be (-4)/10 + 662174/98820. Let h = o - 4/4941. Calculate the common denominator of -133/6 and h.
30
Let m(q) = 67*q. Let z be m(7). Suppose -5*b + v + z = 0, 2*v - 101 + 295 = 2*b. Calculate the common denominator of -2*b/(-32) - 2 and -123/10.
80
What is the common denominator of 0 + 0 + (-3)/(-4) and (-2 - (-32)/(-14))/(6/4)?
28
Let h = 2941/6 - 489. Let n = 16/3 + h. Let l = -387/2 - -190. Find the common denominator of n and l.
2
Let y = 7726 + -92591/12. Calculate the common denominator of 81/14 and y.
84
Suppose 3*j - 2*i - 16 = 0, 4*j + 4*i - 10 = i. Suppose -x = j*r + 2*x - 83, -5*x = -5. Let k = -1 - -7. What is the lowest common multiple of k and r?
60
Let u = -128 + 140. Calculate the least common multiple of u and 24.
24
Let m = -10 - -15. What is the lowest common multiple of (-72)/(-10) - 1/m and -2*(-1)/(-2) + 2?
7
Let y = 202475 - 1998113/10. Let r = y - 2666. Find the common denominator of r and -81/20.
20
Let t = -1892 + 11501/6. Find the common denominator of 35/2 and t.
6
Calculate the common denominator of -3 + ((-240)/(-33) - 0) and 8/9.
99
Suppose -2*v + 5*v - 9 = 0. Suppose 20 = v*o - 16. Calculate the least common multiple of o and 1/(-6) + (-39)/(-18).
12
Suppose -3*w + 17 + 4 = 0. Suppose 0 = 11*i - 7 - 15. Calculate the smallest common multiple of i and w.
14
Suppose -2*f - 40 = -4*r - 0*f, 5*r = -3*f + 61. Suppose 0 = 3*n + 2*n - 10. Suppose 0 = n*w - 0*w - 4. Calculate the lowest common multiple of w and r.
22
Let r be 4/(-4) + 19296/15. Let v = r + -1278. Calculate the common denominator of v and 61/3.
15
Let x = 3 + -5. What is the common denominator of 8/12 + 13/2 and x/((-8)/133*3)?
12
Let f(i) = i**2 - i + 2. Calculate the smallest common multiple of f(4) and 114.
798
Suppose 72 = 3*u - 15. Suppose -5*g + u = -6. Calculate the lowest common multiple of g and 1.
7
Let y(w) = w**2 + 4*w + 2. Let g be y(-4). Suppose -g*l + l = -18. What is the lowest common multiple of l and 14?
126
Let d(k) = k**2 + 4*k + 6. Let p(s) = -2*s**2 - 7*s - 12. Let j(m) = -5*d(m) - 3*p(m). Calculate the lowest common multiple of 10/(-15) - (-29)/3 and j(0).
18
Let a be (-57)/369 + 2/6. Let t = 22616/369 - a. Let b = -4031/72 + t. What is the common denominator of 5/6 and b?
24
Let s = 3937/30 + -412/3. Calculate the common denominator of s and (0 - 26)/(4/5).
10
Find the common denominator of (66/(-36) - -4) + 0 + -1 and 17/(-12) + 1/(-3).
12
Let t = 3403/35 + -454/5. Calculate the common denominator of t and ((-27)/(-5))/(74/(-185)).
14
Let z = -5419/1734 + -12/289. What is the common denominator of 19/9 and z?
18
What is the common denominator of 21/(-210) + 28/5 and -1 + (-2)/(-6)*-23?
6
Suppose 81 = 3*x - 4*o + 28, o = x - 18. Suppose 1 = c - x. Suppose 0 = 6*i - 11*i + 50. What is the lowest common multiple of i and c?
20
Let y = 238 - -1061. Calculate the common denominator of 2/7 + y/84 and 13/9.
36
Find the common denominator of ((-44)/(-66))/(6/(-31)) and -40/7.
63
Suppose -2*s + 20 = 3*p - 16, 5*p - 56 = -2*s. Let d(f) = f**3 + 8*f**2 - 10*f - 2. Calculate the lowest common multiple of d(-9) and p.
70
Let m = 17 - 12. Calculate the lowest common multiple of 9 and m.
45
Let c = 1505/748 + -41/68. Let w = -79960526/1085 + 515846/7. Let z = 3/62 - w. What is the common denominator of z and c?
110
Suppose k + 4*k + 5 = 0. Find the common denominator of (-47)/(-9)*-1 + k and -27/11.
99
Let w = 3/187 - 8795/374. Find the common denominator of w and 101/6.
6
Let i be (-10)/55 - (-1190)/11. Find the common denominator of 29/6 and i/15*(-20)/(-66).
66
Suppose -r + 12 = 3*r. Let b = r + 0. What is the lowest common multiple of 9 and b?
9
Suppose -55 = 7*h - 12*h. Calculate the smallest common multiple of 9 and h.
99
Let z(q) = q**3 + 4*q**2 + 2. Let s be z(-4). Let i = 2 + s. What is the least common multiple of i and 8?
8
Let k(i) = i**3 - 7*i**2 + 8*i - 5. Let o be k(6). Let b = 0 + o. What is the least common multiple of b and 6?
42
Let a(j) = -j - 4. Let f be a(-6). Suppose b + f = h, -4*h = -b - 2*b - 10. Calculate the smallest common multiple of h and 6.
12
Let t = -4 + 8. Suppose -4*l = l - 390. Suppose 2*j + 4*g - 28 = 0, 3*j + 0*g - l = 3*g. What is the lowest common multiple of t and j?
44
Calculate the smallest common multiple of 10 and (-168)/(-18) + 2/3.
10
Let y(w) = 5*w - 5. Suppose -5 = -5*d + 5. What is the least common multiple of d and y(5)?
20
Let b(t) = -23*t**3 - 2*t**2 + 1. Let n be b(-1). Let w = 1 + n. What is the lowest common multiple of w and 9?
207
Suppose 0 = b + 4*h - 13, 9 = 2*b + 5*h - 8. What is the least common multiple of b and 3?
3
What is the common denominator of -11/16 and (3*(-71)/(-72))/(4/(-3))?
32
Suppose 5*t - 5*i - 25 = 0, 7*i = t + 4*i + 3. What is the smallest common multiple of t and 10?
90
Let o = 572 + -5751/10. Find the common denominator of o and (12/20)/(24/(-195)).
40
Let g be ((-30)/(-35))/((-4)/(-14)). Suppose -21 = -2*o + s, 0*s + 2*s + 15 = o. Suppose g = n - o. What is the lowest common multiple of n and 10?
60
Let a(b) = -b - 10. Calculate the lowest common multiple of a(-16) and 16.
48
Suppose -2*v = 7 - 23. What is the smallest common multiple of v and 12?
24
Suppose 0*p = 3*p - 2*l - 17, 0 = 2*l + 2. Suppose -17 + 2 = -p*k. Calculate the common denominator of 83/14 and (10/6)/(4/k).
28
Suppose 0 = -2*z + 21 + 7. Calculate the lowest common multiple of 10 and z.
70
Let y = -3341/12 + 779/3. Let d = -45/23 + 1763/184. What is the common denominator of y and d?
8
Suppose s + 7*s = 144. Suppose a - 22 = -2. Calculate the lowest common multiple of a and s.
180
Suppose 2*p - p = 5. What is the smallest common multiple of 2 and p?
10
Let j = -65/8 - -5/8. Calculate the common denominator of (-1)/8*87/1 and j.
8
Let d = 742 - 10491/14. What is the common denominator of -37/62 and d?
434
Let c = -6677 - -19917. Let j = c + -238433/18. Find the common denominator of j and (3/(-55))/(8/460).
198
Find the common denominator of -145/6 and 69/(-4) - (6 - 10).
12
Suppose -c = -5*u - 57, 4*u = 3*c + 13 - 52. Let d = u + 17. What is the least common multiple of 7 and d?
35
Let z(c) = -4*c - 4. Let x be z(-4). Suppose 0 = 4*q - 12 - x. Let j(h) = h + 2. What is the lowest common multiple of q and j(0)?
6
Let v = -3 + 13. Let f(h) = -h**3 + 8*h**2 + 10*h - 3. Let a be f(9). Let z(k) = -k + 14. Calculate the smallest common multiple of v and z(a).
40
Let k be (-2)/8 - 7338/1840. Let l = k + 13/115. Find the common denominator of 6/9 + (-318)/18 and l.
8
Let v(j) = j**2 - 13*j - 4. What is the smallest common multiple of 2 and v(14)?
10
Let g be (2 + 0)/2 + 5. Let u be g/(-3)*(1 - 10). Find the common denominator of 109/u + 1/(-2) and 79/2.
18
Suppose 2*h - 20 = -2*u - 2*h, -3*h = 4*u - 15. Suppose u = 2*v + 1 - 3. What is the smallest common multiple of 1 and v?
1
Let r = -94 - -101. Calculate the lowest common multiple of r and 8.
56
Let w(u) be the first derivative of -u**2/2 - 6*u + 7. What is the smallest common multiple of w(-10) and 6?
12
Let y = -13 + 27. Find the common denominator of 21/y*(-46)/4 and 59/2.
4
Let c = 16935/8 - 2109. What is the common denominator of -14/11 and c?
88
Let i = 2 + 6. Let z = 3 + i. What is the smallest common multiple of 8 and z?
88
Let n = 85 + 104. Suppose -f - 37 = -3*x - n, 92 = -2*x + 3*f. Calculate the common denominator of (-30)/(-56)*x/(-6) and -13/16.
112
Suppose -18 = 5*v + 12. Let f = 16 + v. Calculate the least common multiple of 1 and f.
10
Let d be (10 - 14) + 401657/20. Let s = d + -20083. What is the common denominator of s and (-303)/2*(-1)/3?
20
Suppose 2*k - 16 + 2 = -c, 5*c = -k - 2. What is the smallest common multiple of k and 6?
24
Let k be -1 + (7 - 2) + -2. Suppose r - 48 = -k*r. Suppose 3*l - 2*p = l + 40, -r = 4*p. What is the l