66
Let a be ((-1992)/(-20))/((-1)/(-40)). Let n = a - 35899/9. What is the common denominator of 231/(-36) + 2/(-6) and n?
36
Let r = 10422/5 + -2077. What is the common denominator of 97/2 and r?
10
Let m = -22 + 11. Let h = m + 15. Calculate the lowest common multiple of h and 10.
20
Suppose 0 = 4*m + 347 + 37. Let i be m/9 + (-2)/(-3). Calculate the common denominator of ((-26)/8)/(5/i) and 38/11.
22
Suppose -9*o = -12*o + 21. What is the smallest common multiple of 8 and o?
56
Let c = 1124619 - 12383262/11. Let f = -1134 - c. What is the common denominator of f and (14*2)/2*-3?
11
Let d(t) = t + 7. Let i be d(-3). Let o be 2304/(-15) + (-1)/i. Let w = -733/5 - o. Find the common denominator of w and -41/11.
44
Suppose -2*n - 3 = 2*y + 1, 2*y - 2*n = -20. What is the least common multiple of 8/y*(-27)/2 and 22?
198
Let z = 443/3 + -3373/24. What is the common denominator of z and 0/(-1) + (-46)/(-12)?
24
Let c be 2/(-2) - (-2 + -1). Suppose -f + 30 = -4*r, -c*f - 3*r + 17 = -10. Find the common denominator of 103/6 and (3 - 1 - f)/3.
6
Let p(h) = 9*h + 1. Suppose -y + 7 = f, -2 + 11 = 3*y. Calculate the least common multiple of p(1) and f.
20
Let h be (-1 - -3) + 192/(-54). Let y = -583/36 + h. Find the common denominator of -69/8 and y.
8
Let o(j) = -47*j - 3. Let p be o(-5). Let i be 2684/p + 4/2. Let l = i - 2/29. Calculate the common denominator of -121/10 and l.
10
Suppose 0*b - 12 = -2*b. Suppose -b*l + 1 = -5*l. Calculate the lowest common multiple of l and 7.
7
Let g(d) = d**3 + 2*d**2 + 2*d - 1. Let f be g(-3). What is the common denominator of 83/2 and 26/f + 2 + 1?
8
Let h(c) = c**3 + 4*c**2 - c + 1. Suppose 0 - 16 = 4*f. Let r(i) = -i - 5. Calculate the least common multiple of h(f) and r(-11).
30
Let y = 6913/948 - 10/237. Find the common denominator of y and -95/54.
108
What is the smallest common multiple of (-242)/(-12) + (-3)/18 and (-4)/6 + 132/9?
140
Suppose 5*j + 94 = -71. Let z = j - -63. Suppose -4*b = -b - z. Calculate the lowest common multiple of 9 and b.
90
Calculate the common denominator of -89/18 and (-10)/(-4)*(-679)/(-175).
90
Let q(h) = 2*h**3 - 7*h**2 - 2*h - 1. Let w be q(5). What is the lowest common multiple of 22 and (-1)/(4/w*-2)?
88
Suppose -2*m = -3 - 1. Let f(j) = -j**3 + 3*j**2 - 2*j + 3. Let g be f(2). What is the least common multiple of g + (4 - m)/(-2) and 1?
2
Let i(d) = d + 1. Suppose 3*n - 4 = 2. Calculate the least common multiple of i(n) and 10.
30
Let a = 142 - 134. Calculate the least common multiple of 5 and a.
40
Suppose 4*i = -2*v - 8, v - 2*v - 4 = -2*i. Let k = 2 + i. What is the lowest common multiple of 16 and k?
16
Calculate the common denominator of (2/4)/((-230)/44) and -17/10.
230
Let d = -6 + 16. What is the lowest common multiple of d and 54?
270
Let q = -4 + 6. Suppose -q*h = -0*h - 10. Suppose 2*n - 3*n + 5 = 0. Calculate the least common multiple of h and n.
5
Let x = 18 - 39/2. Let o = 0 - -1. Find the common denominator of o + -2 + (-100)/(-35) and x.
14
Suppose 2*r = 5*r - 66. Let m(f) = f**2 + 4*f - 1. Let w be m(-4). Let q(v) = -18*v. What is the smallest common multiple of r and q(w)?
198
Suppose -5*v + 1821 = -4969. Calculate the common denominator of 6/15 + v/(-120) and 41/6.
12
Find the common denominator of -39/20 and 33/2*(-260)/360.
60
Calculate the lowest common multiple of 12 and -3 - (3 + -8) - -1.
12
Calculate the common denominator of -143/6 and 0 - (2 + 67/(-3)).
6
Let y = -18 + 10. Suppose -3*z - 5 = -35. What is the lowest common multiple of z and 3/(y/(-5) - 1)?
10
What is the common denominator of 27 and ((-292)/(-18))/((-16)/(-12))?
6
Suppose -2*w = -28 - 8. What is the lowest common multiple of w and 2?
18
Suppose -8 = 4*w - 0. Calculate the common denominator of -14/11 and (-729)/(-60) + w/(-8).
55
Let f = 2 - -2. Suppose f*b = 72 - 24. What is the lowest common multiple of ((-2)/4)/((-1)/16) and b?
24
Suppose l + 3*g + 18 + 1 = 0, -3*l - 4*g = 62. Find the common denominator of (-198)/16 - (-12 - -10) and ((-3)/14)/(6/l).
56
Let z = -382/41945 + -7486631103/671120. Let b = 11161 + z. Find the common denominator of b and -41/18.
144
Let g(t) = -8*t - 4. Let s(j) = -j - 8. Let a be s(-5). Calculate the lowest common multiple of g(a) and 2.
20
Let x be 13 + 5*8/20. What is the common denominator of 4/(-6)*x/28 and 81/50?
350
Let c = 1257 - 11300/9. What is the common denominator of c and 45/7?
63
Suppose u + 5 = 2*z - 10, -5*z = -2*u - 35. Suppose 3*s = s + 16. Calculate the smallest common multiple of s and z.
40
Let h be (-2 - (-196974)/(-32))/1. Let p = h - -6154. Find the common denominator of -61/10 and p.
80
Let r = -1904 - -38037/20. Let f = 26219/22 + -1192. Calculate the common denominator of f and r.
220
Suppose -9 = -s + v + 2*v, -3*s + v + 11 = 0. Calculate the smallest common multiple of s and ((-2)/(-4)*-5)/(55/(-132)).
6
Let z = 451 + -183. Calculate the smallest common multiple of z and 10.
1340
Let x = -2583 + 4763. Suppose -5*s = 5*n - x, -2*s + 3*n + 883 = -9. Let m = -5323/12 + s. What is the common denominator of m and -57/14?
84
What is the common denominator of (-15)/(-25) + (-379)/(-10) and 43/7?
14
Suppose 0 = -4*x + 4*n + 68, 5*n - 5 = 3*x - 54. What is the lowest common multiple of x and 10?
90
Let b(w) = -4*w + 70. Calculate the smallest common multiple of b(0) and 18.
630
Let s = -4287980/77 - -278438/5. Let h = s + 4/77. What is the common denominator of 23/7 and h?
35
Suppose 21 = 34*z - 33*z. What is the lowest common multiple of z and 2?
42
Let g = 12 + -8. Suppose 4*o - 8 = -0*o. Calculate the smallest common multiple of o and g.
4
What is the common denominator of 61/14 and (9/30*-2)/2?
70
Let x be 76/28 + 4/14. Suppose 0 = x*w, -69 = -3*v - w - 27. Suppose -6*o + 90 = -o. What is the least common multiple of o and v?
126
What is the common denominator of ((-29)/(-5))/((-44)/(-10)) and 27/34?
374
Suppose -14 = -0*k - 2*k. Suppose 16 = -5*q - 24. What is the smallest common multiple of (-26)/q + 1/(-4) and k?
21
Suppose 0*c = -2*c. Suppose -2*x + 3*d = 2*x + 7, c = 5*d - 25. What is the least common multiple of 6 and x?
6
Let v be ((-1844004)/198)/(4/3). Let k = -6982 - v. Calculate the common denominator of 7/4 and k.
44
Let v be (5 - 22)*(-93)/21. Let j = v + -74. What is the common denominator of j and -34/3?
21
Let d = 986 + -2049/2. Calculate the common denominator of d and -70/3.
6
Let a be 2/6 - (-17)/3. Suppose 6 + a = 4*f. What is the lowest common multiple of 4/12 + 47/f and 8?
16
Let s = 3031/1485 + 19/135. Let u = 2/211 - -1678/1055. What is the common denominator of s and u?
55
Suppose -5*o + 4 = -6. Suppose 3*m + w - 21 = 0, 0 = -o*m - 3*w - 15 + 36. What is the lowest common multiple of 2 and 100/m - 14/21?
16
Let c = 25 + -15. Calculate the least common multiple of 2 and c.
10
What is the common denominator of -3 + 1/((-30)/(-417)) and -32/5?
10
Let t(x) = -x**3 - 12*x**2 - 11*x + 10. Calculate the lowest common multiple of 11 and t(-11).
110
Let r be 8/(-1 + 0 - -3). Suppose 2*o + 36 = r*o. What is the lowest common multiple of o and 0 - (3 + -1 + 2 + -8)?
36
Suppose -8 - 32 = -2*s. What is the least common multiple of 18 and s?
180
Let b = -2/1361 - -36763/10888. Calculate the common denominator of b and 121/6.
24
Let n = -27685/6 + 4603. What is the common denominator of 1/57 and n?
114
Let i = -26/41 - 1198/697. Calculate the common denominator of i and -4/9.
153
Let t = -8503/10 + 838. Calculate the common denominator of -119/18 and t.
90
Suppose 0 = -u - 5*q + 959, -947 = -2*u + u - q. Let a be 13177/(-14) - 1*2. Let z = u + a. Find the common denominator of z and 149/18.
126
Let z = -5131819/54 - -95031. Find the common denominator of z and 97/12.
108
Let q = -186 + 81. Calculate the common denominator of 71/12 and ((-2)/66)/(2/q).
132
Suppose -n + 4 + 12 = 0. What is the least common multiple of 12 and n?
48
What is the common denominator of -95/4 and (8*(-1)/(-12))/(6/53)?
36
Suppose 6*b - 90 = b. Let r = 6 + b. What is the lowest common multiple of 20 and r?
120
Let c = 177/32 + -271/32. What is the common denominator of -35/18 and c?
144
Suppose 4*m = 4*s + m - 27, m + 20 = 5*s. Suppose -s*x + 47 = -973. Let o = 970/3 - x. Find the common denominator of -32/9 and o.
9
Suppose 4*v - 48 