Let x = -68/27 + 1675/54. What is the common denominator of g and x?
6
Let p(y) = -y**3 + 3*y**3 + 6*y**2 - 2*y**2 - 3*y**2. Calculate the lowest common multiple of p(2) and 22.
220
Let o be (-1)/(0 - 1) + -3. Find the common denominator of (-1*(-392)/(-36))/2 and ((-212)/30)/(o/3).
45
Let f be 6 - ((-1)/1 + 0). What is the common denominator of (-1)/(-4) - (-40)/(-6) and f/2*(-9)/33?
132
Let h = -365/204 + 2/51. What is the common denominator of h and 13/4?
4
Suppose -3*k - 21 + 0 = 0. Let f(l) = -5*l + 8. What is the common denominator of f(k) and -67/2?
2
Let w(s) = s**2 + 5*s + 5. What is the lowest common multiple of -7 + -4 + 7 + 4 + 4 and w(-5)?
20
Suppose -72*i + 21 = -71*i. What is the least common multiple of 6 and i?
42
Let x be 1 - (-2 - 0 - -1). Suppose 15 = x*t - 1. What is the lowest common multiple of t and 20?
40
Suppose 3 + 9 = 3*g. Suppose -g*u - 3 = 5. Let c = 6 + u. Calculate the least common multiple of 10 and c.
20
Let d(s) = 426*s**2 + 2*s + 1. Let z be d(-1). Let q = 1759/4 - z. Let x = 65341/3076 + 6/769. What is the common denominator of x and q?
4
Let n = 34035/11 + -3097. Let u = 174555/9548 + -775/44. Let c = -3/31 + u. Find the common denominator of c and n.
77
Let u(g) = -4*g - 54. Calculate the smallest common multiple of 10 and u(-14).
10
Let n(w) = w**3 - w**2 - 2*w + 1. Let r be n(-2). Let g(t) = -2*t - 7. Calculate the smallest common multiple of g(r) and 6.
42
Let m = 1228557179/738360 + 5/147672. Let b = m - 1657. Find the common denominator of b and -119/6.
30
Let q(f) = f**3 - 3*f**2 + f - 4. Let a = -11 + 19. Calculate the smallest common multiple of q(4) and a.
16
Let m be (-2025792)/(-3)*4/34. Let i = -1342369089/16898 + m. Let p = i + -6/71. Find the common denominator of 151/24 and p.
168
Find the common denominator of (-278)/70 + 2 + (-8)/5 and -1 - ((-138)/14 - -2).
7
Let y = 77 + -55. Let w = y - 4. Calculate the lowest common multiple of w and 22.
198
Let q = 11 - 7. Suppose 2*r - 128 = -2*l, -q*l = -l + 4*r - 196. Suppose l = -2*o + 5*o. What is the lowest common multiple of o and 14?
140
Let m = 11 + -6. Let d(w) = 2*w**3 + 2*w**2 - 2*w + 1. Let f be d(1). What is the least common multiple of m + (9 - f - 3) and 11?
88
Let g = -30 - -28. Suppose 0 = 3*o + 5*x + 25, o + 9*x - 5 = 4*x. What is the lowest common multiple of (-32)/(-24)*o/g and 10?
10
Suppose -2*m - 2*t = 0, 2*m - t + 5*t + 2 = 0. What is the smallest common multiple of 11 and m?
11
Let k be 1/(-3) - (-147)/9. Let u be (-1)/(-1) + (-1)/(-1). Suppose -4*t + k = 0, u*t - 30 = -3*i + i. What is the lowest common multiple of 3 and i?
33
Suppose -5*k + 4*q + 4 = -5, -5*k + 13 = -3*q. Suppose 5*i + 1 = -5*l - 4, 25 = k*i. Let o(d) = d + 7. What is the least common multiple of 8 and o(l)?
8
Let k = -24237931/16 - -1515599. Let u = k + -728. Find the common denominator of u and (-137)/6 - -1 - 1.
48
Suppose 0*n + 12 = 3*n. Calculate the lowest common multiple of (-164)/(-10) - n/10 and 6.
48
Suppose -6 = -f - f. Let o be (-12)/9*9/(-6). What is the lowest common multiple of f and (-26)/(-8) + o/(-8)?
3
Let f = -10441/480 + 293/15. Find the common denominator of -54/7 and f.
224
Let i(h) = -2*h - 5. Suppose 0 = 39*g - 40*g + 1. Calculate the least common multiple of g and i(-6).
7
Let x = 25 + -6. Let k = -22573/8 - -2830. Find the common denominator of k and (-1 - (-16)/10)*x.
40
Let t(k) = -k**2 + 3*k + 4. What is the least common multiple of 14 and t(3)?
28
Suppose -3*w - 3 = -6*w, 5*d - w = 59. Find the common denominator of (d/(-16))/(3 + -9) and ((-1)/45)/(2/(-685)).
72
Let y = -833 + 387. Let u be ((-4)/(-6))/(8/(-5564)). Let l = y - u. Find the common denominator of -41/6 and l.
6
Let o be 6920/(-10389) - 28/(-42). Let p be (356701/(-27704))/(3/(-4)). Let z = p - o. Find the common denominator of 49/12 and z.
12
Suppose 5*c + 197 = 4*m, 5*m + 2*c = 3*m + 76. What is the smallest common multiple of 2 and m?
86
Let r be (-84)/(-8) + (-2)/(-4). What is the lowest common multiple of r - (0 - (-6 + 3)) and 4?
8
Suppose -2*u = 10, 4 = -2*q - u + 19. Calculate the lowest common multiple of 6/(2 - 1/2) and q.
20
Let n = 1/52 + 1607/260. Calculate the common denominator of -1*(-41)/(-9)*1 and n.
45
Let y = 32 - 31. Let l(o) = -o**3 + 5 - 5*o - o**3 + 4*o**2 + 3*o**3. What is the lowest common multiple of y and l(-5)?
5
Let a be (1/2)/(2/8468). Let z = 42401/20 - a. Calculate the common denominator of z and (-1 - 53/(-12)) + -20 + 21.
60
Let b = 1349/264 - 45/8. What is the common denominator of b and 77/24?
264
Let g(b) = 4*b - 10 - 7*b**2 - 3*b - 6*b**3 + 5*b**3. Suppose 3*v + 3 = -3*q - 12, 4*q - 8 = 0. Calculate the common denominator of g(v) and -1.
1
Let o be (-1)/4 - 57/(-5). Let j = 43/5 + o. Calculate the common denominator of j and (-3)/(6/20 - (-3 + 3)).
4
Let d = -2/5995 + 7292/293755. Let h = d - 6143/735. What is the common denominator of 2*63/(-48) + -3 and h?
24
Let m = -8420698552/819401285 + -6795/295546. Let j = m - 2/5545. Let x = 143379/56180 + -6/2809. What is the common denominator of x and j?
20
Let j = -3/185 + -95/74. Let r = 6/319 - 5483/3190. Let o = -181/20 + r. Calculate the common denominator of o and j.
20
Let r = 1/5 + -1/15. Find the common denominator of r and -11/15.
15
Let h = -3656/7 - -80999/154. Find the common denominator of h and -63/16.
176
Let i(c) = c**2 + c - 2. Let l = -3 - -5. Let t be i(l). Suppose -o + 12 = -t*z, 0 = 2*o + o - 2*z - 26. Calculate the least common multiple of o and 22.
88
Let j be ((-1)/(-200))/(10/8). Let p = j + -881/1500. Calculate the common denominator of -1 - 117/66 - 0 and p.
132
Let m(f) = -f**3 - 5*f**2 - 6*f - 4. What is the least common multiple of 6 and m(-4)?
12
Suppose 2*b = 6*b - 7404. Let h = 11165/6 - b. Calculate the common denominator of h and 95/12.
12
Let q = 26929/90 - 2755/9. Calculate the common denominator of q and 4/(-6)*219/(-20).
10
Suppose -4 = -2*s - 5*x - 7, 2 = 5*s + 3*x. What is the lowest common multiple of 11 and s?
11
Let s = 0 + 6. Suppose 1 = t - g, 5*t - g = -2*g - 19. Calculate the common denominator of (s/t - -19)/(-3) and -23.
3
Suppose q - 5 = -4. What is the smallest common multiple of 6 and q?
6
Let f = 20 + -2. What is the smallest common multiple of f and 27?
54
Let y = 433/16 + -1931/48. Let v = 64669/140 - 3252/7. What is the common denominator of y and v?
60
Let p(o) = o**2 + o + 5. Let z be p(0). Suppose 0 = 3*x + 4*h - 30, -z*x - h + 67 = -0*x. Let l = 60 - 46. Calculate the smallest common multiple of l and x.
14
Let o(g) = 36*g**2 - g. Let w be o(-1). Let a = w - 16. Let k = -2416/3 + 789. Calculate the common denominator of k and a.
3
Calculate the common denominator of ((-4)/(20/435))/(-1 + 5) and (-638)/80 - 2/5.
8
Let q be 2/1904*(-2)/2. Let m = -4225/476 - q. What is the common denominator of m and 109/6?
24
Let k(b) = b**2 + 5*b + 5. Let n be k(-4). Let v be 1/n - (-54 - 0). Calculate the common denominator of v/(-8)*27/(-30) and -95/8.
16
Suppose -2*h + 50 = 3*h. Find the common denominator of -54/5 and 5/(-6)*(-10)/h.
30
Let b = 94249/18 - 5238. What is the common denominator of (-28)/(-30)*3*9/(-4) and b?
90
Let q = 9 + 0. What is the least common multiple of (-35)/(-3) + 4/(-6) and q?
99
Let z(l) = -6*l. Let f be z(4). Let n = f - -36. Calculate the smallest common multiple of n and 2.
12
Let f = -4/65 - 707/130. Calculate the common denominator of (-110)/(-12) - (-3 - -1) and f.
6
Suppose 2*i - 6 = -0*i. Calculate the lowest common multiple of 12 and i - (-5 - -2 - 0).
12
Let i be (-14)/(-18) - (-18)/81. Suppose -i + 2 = -q. What is the common denominator of 130/(-8)*q/10 and 17/6?
24
Let j(o) = o**3 - o**2 + 1. Let s be j(-1). Let a = -5 + s. What is the common denominator of (-5 - a)/((-10)/(-17)) and -29/4?
20
Let w(n) = -n**3 + 7*n**2 - 2*n - 6. Let t be w(6). Suppose -i + 30 = -4*i. Let a = i + t. What is the least common multiple of 11 and a?
88
Suppose 8 = -4*k + 8*k. Suppose 0 = k*b - 14 - 6. Calculate the least common multiple of 22 and b.
110
Suppose -2*c - 18 = c. Suppose -3*d = -5*d + 32. What is the lowest common multiple of (c/(-4))/((-9)/(-24)) and d?
16
Let f(s) = -s - 2. Suppose -4*z - n - 12 = -3*n, -10 = 5*z - 5*n. Calculate the lowest common multiple of f(z) and 4.
4
Suppose -p = 5 - 81.