Let a = -33111688/3339 - -321651635647/32428368. Let u = 2/4249 + a. Find the common denominator of u and 1538/(-120) + (-2)/(-5).
48
Let b(v) be the second derivative of v**3/6 + v**2 + v - 2. Suppose 3*j + 10 = 1, -3*w = -4*j - 36. Calculate the least common multiple of 10 and b(w).
10
Suppose 4*a - 8 - 12 = 5*k, -3*a + 15 = -3*k. Calculate the lowest common multiple of 9 and a.
45
Suppose s + 5*r = 9136, 5*s + r = 2*r + 45758. Let o = s + -109729/12. What is the common denominator of 109/12 and o?
12
Let q = -2/17 - -37/170. What is the common denominator of 99/4 and q?
20
Suppose -3 = 3*u, -s + 4*u = u - 4. Let x = -2743/72 + 254/9. Calculate the common denominator of (-79)/(-16) - 2/s and x.
16
Let m = 5/2469 - 165493/34566. Find the common denominator of m and -23/42.
42
Let x(q) = q**3 + 12*q**2 + 9*q - 16. Suppose 3 = 3*k - 6. Suppose y = 2*h, y = -k*y - 3*h + 55. Calculate the least common multiple of y and x(-11).
30
Let z = 30 - 10. Suppose 4*u + 8 = -0*n + 2*n, -4*n + 3*u = -31. What is the lowest common multiple of n and z?
20
Let x = -4 + 14. Let t be 8/(-1)*(-1)/(-2). Let g = x + t. What is the smallest common multiple of g and 5?
30
Calculate the least common multiple of 200/(-5)*-1 + (-4)/(-1) and 4.
44
Let r be 2/(-9) - (-370)/45. Suppose 0 = 3*j - j + r. What is the smallest common multiple of (5 - -1) + j/2 and 4?
4
Find the common denominator of 374/(-40) - 3/4 and -37/20.
20
Suppose 2*r - 7*r + 100 = 0. What is the least common multiple of (r/7)/((-6)/(-21)) and 10?
10
Calculate the least common multiple of (-2)/(4/(-26)) - -1 and (0 + -2 + 6)*(-10)/(-2).
140
Let g be (0/((-2)/1))/(-2). Let r = g - 5. What is the lowest common multiple of (-3)/((15/12)/r) and 16?
48
Let v be (-2)/5 + 19976/(-460). Let j = 16803/322 + v. Find the common denominator of (2/(-24))/(2/532) and j.
42
Suppose 0 = 5*z + o - 18, 4*z - 2*o + 6*o = 8. Suppose 0 = -c + z*c - 12. Let u = -3 + c. What is the lowest common multiple of u and 11?
11
Let v = -2/1061 - 26469/29708. What is the common denominator of -23/12 and v?
84
Suppose 3*l - 6 - 36 = 0. Calculate the smallest common multiple of l and 14.
14
Let g be (-10 + -2)*2/3. Let n be (-20)/g - 2/4. What is the lowest common multiple of ((-2)/(-4))/(n/8) and 5?
10
Let y(h) = h**2 + 7*h. What is the least common multiple of 20 and y(-8)?
40
Suppose 0*v - 5 = 5*w - 2*v, -2*v + 11 = w. Find the common denominator of w/3 - 365/90 and -111/14.
126
Let x(f) = -9*f**3 + f**2 - f - 1. Let h be x(-1). Let r = -736 - -3656/5. Calculate the common denominator of r and (-274)/h*10/(-12).
30
Suppose -2*v = -4 - 236. Calculate the lowest common multiple of v and 10.
120
Let h(v) = -8*v. Let a(d) = 2*d + 8. What is the least common multiple of h(-1) and a(0)?
8
Find the common denominator of 14/79 and ((-21)/(-6))/(-7)*306/15.
395
Let i = -3 + 7. Suppose -4*q - 1 = -5*h - 17, -4*h + 12 = 3*q. What is the smallest common multiple of q and i?
4
Let w = 237/2 + -629/5. Calculate the common denominator of (1/6)/((-21)/729) and w.
70
Let k = 10600 + -5690. Let a be 4/(-10) - (-17656)/k. Let u = -2/491 - a. What is the common denominator of u and 37/4?
20
Let c = -91123/4110 - -3/685. What is the common denominator of c and -17/10?
30
Let q = 25 + -12. Let h = -11 + q. Calculate the least common multiple of h and 8.
8
Let n(i) = -i + 1. What is the lowest common multiple of (15/4)/(81/108) and n(-5)?
30
Suppose -2*d = -5*d - 2643. Let z = -8819/10 - d. Calculate the common denominator of z and 24/11.
110
Suppose 2*x - 2 = 4. Calculate the lowest common multiple of x and ((-10)/40)/((-1)/4).
3
Let a = 6/205 - 3593/3690. Calculate the common denominator of a and 43/2.
18
Let r = 15 - 9. Calculate the smallest common multiple of 33 and r.
66
Let q be (0 + -2 - -1)*-3. Suppose -q - 1 = -o. What is the smallest common multiple of o and 11?
44
Suppose 0 = -5*v - 9 - 6. Let i(j) = j + 5. Let g(d) = d**3 - 3*d**2 + 4*d - 4. Calculate the least common multiple of g(3) and i(v).
8
Let n(y) = y**2 - 6*y - 6. What is the smallest common multiple of n(8) and 6?
30
Suppose 0 = 2*h - 3*h + 3. Let m = h - 28. Let j = -18 - m. What is the smallest common multiple of 3 and j?
21
Suppose -4 = 2*f - 2. Calculate the common denominator of 106/48 + f/3 and 10*((-115)/(-60) - 4).
24
Suppose 4*q - 11 = 5*p, -6*q + 3*q - 4*p + 47 = 0. Suppose -8 - 7 = 5*z, -2*a - 2*z = -10. Calculate the least common multiple of q and a.
72
Let h = 1216 + -2341/2. What is the common denominator of -19/6 and h?
6
What is the common denominator of (118/(-12))/(25/(-15)) and 27/(-33) - (0 + 1)?
110
Let z be ((-36)/(-8))/(9/12). What is the smallest common multiple of 14/3 + (-4)/z and 22?
44
Let o be 4*(-4)/(48/4869). Let x = 9619/6 + o. What is the common denominator of x and 95/22?
66
Let v = -166055/18 + 9222. Calculate the common denominator of v and 41/18.
18
Let o be (3/12)/(1/20). Suppose 0 = o*n - n - 8. Suppose 4*g = -0*g + 32. What is the lowest common multiple of n and g?
8
Let k = -1105/322 + 12/161. Find the common denominator of k and 83/14.
14
Suppose 4*h - 276 = 5*w, -h + 4*w = h - 138. Calculate the smallest common multiple of 12 and h.
276
Let s = -889/2 - -404. Let b = -1043593/714 + 31600/21. Let f = -6/17 - b. Calculate the common denominator of s and f.
2
Let f = -1707/341 + 3/31. Find the common denominator of f and ((-228)/32)/((-6)/(-10)).
88
Let r(v) = v**3 - 8*v**2 + v - 4. Let c be 1 + 0 + -1 - -8. Let n be r(c). Calculate the common denominator of 0 - n/((-48)/(-105)) and -39.
4
Calculate the common denominator of 387/108 + 1/6 and -14/3.
12
Let d be (-4)/(-2*(-2)/(-8)). Let n(f) = f**2 - 7*f - 6. Calculate the lowest common multiple of 6 and n(d).
6
Let g = 10426490/703521 + 4/54117. Let o = g - 2/13. What is the common denominator of o and (2/(-5))/(14/(-329))?
15
Let t(q) = -q**3 - 4*q**2 + 6*q + 6. Let p be t(-5). Calculate the lowest common multiple of 12 and 1/p + (-2 - -21).
60
Let s = 2154 + -21433/10. What is the common denominator of -12 and s?
10
Let j = 1 - 5. Calculate the common denominator of -41/14 and ((-188)/j)/(-2 + 0).
14
Let f = 7049 + -3742. Let i = -26391/8 + f. Find the common denominator of (-1)/2 - 41/8 and i.
8
Let w = -3 - -7. Suppose w*l - a = 27, -3 = -l - 3*a - 6. Suppose 0*c = 3*r + 2*c - 15, -4*r = -3*c - 37. What is the smallest common multiple of r and l?
42
Suppose 2*m = -5*x - 15, -m - 5*x - 20 + 0 = 0. Suppose -m = 4*q - 1. Let z(g) = 7*g**2 - 2*g - 1. What is the smallest common multiple of z(q) and 2?
8
Calculate the common denominator of 45/165*17/(-3) - 2 and -12/7.
77
Let d(m) = -m + 6. Let f be d(6). Suppose -11 + f = -k. What is the least common multiple of k and (-4)/5*(-45)/6?
66
What is the common denominator of (333/(-88))/(15/(-20)) and (99/(-24))/((-5)/6)?
220
Let n be 8/(-36) - (-14)/(-18). Let w = 11 + n. What is the least common multiple of 18 and w?
90
Let n(j) = 7*j. Let v be n(-1). Let r(o) = o**2 + 5*o - 6. What is the lowest common multiple of r(v) and 14?
56
Let k(b) = -b + 6. Suppose -5*p + 10 = -4*g, p = -2*g + 3 - 1. Suppose -20 = 4*n, -45 = -4*r - g*n + 5*n. Calculate the common denominator of k(r) and 44.
1
Suppose -b + 2*b = 13. What is the common denominator of b and 29/8?
8
Let y = 533/77 + -44/7. Let j = y + 281/77. Find the common denominator of -19/2 and j.
14
Let p = 127609609/12 - 10643038. Let h = p - -8895. Find the common denominator of -13/10 and h.
60
Let k = -127390 + 634444/5. Let f = 14621/30 + k. What is the common denominator of -64/3 and f?
6
Let s = 7207/422334 - 1/5346. Let u = s - -623/5214. Calculate the common denominator of 89/16 and u.
176
Let l(u) be the third derivative of u**6/40 - u**5/20 - 3*u**2. What is the lowest common multiple of l(2) and 12?
12
Let a(o) = -o**2 + 9. Let m be a(0). Let l be (12/(-10))/(m/(-30)). Suppose 0 = -l*g + 3*g + 11. What is the smallest common multiple of g and 11?
11
What is the common denominator of 2/(-9) - (-62)/(-24)*-1 and 49/10?
180
Let t = -48068 + 3318687/70. Let c = -3272/5 - t. Let w = -226771/18 + 12605. Find the common denominator of w and c.
126
Let u(g) = g - 7. Let q be u(-9). Let i(x) = x**3 + 15*x**2 - 18*x - 18. Calculate the common denominator of i(q) and 40/13.
13
Let h(g) = -4*g. Let