. Let z = -12/2077 - -4077199/8308. Let n = z - y. What is the common denominator of -55/3 and n?
33
Suppose 0 = 3*t - 5*h - 1, h + 1 = t. Suppose 0 = -t*r - 5*k + 46 - 7, 5*r - k - 57 = 0. Suppose -8 = -4*q + 32. What is the least common multiple of r and q?
60
Let q(f) = -622*f - 1. Let s be q(-2). Suppose 4*h - 10260 = 4*u, -u - 5*h - 1340 - s = 0. What is the common denominator of ((u/(-9))/(-4))/4 and -73/10?
30
Let d(a) = a**3 - 13*a**2 + 24*a - 10. Calculate the lowest common multiple of 30 and d(11).
60
Let i(s) = s + 9. What is the lowest common multiple of i(1) and 2?
10
Find the common denominator of 41/6 and 10/(-15) + 357/198.
66
Let l(q) = 5 + 3*q - 9*q**2 - q**3 + 5*q + 4*q**2. Let m be l(-6). Let s = 3 - m. What is the lowest common multiple of s and 7?
70
Let b = -13/135 + -13043/540. Let t = -25125/7 - -3597. What is the common denominator of b and t?
28
Let x = -1/909 + -46349/9090. What is the common denominator of -29/10 and x?
10
Let t(a) = -a**3 + 12*a**2 + 2*a - 2. Let w be t(12). Calculate the common denominator of 1468/880 - (-4)/w and -31/16.
80
Suppose 5*l - 3*d - 240 = 0, 5*l + d = 187 + 33. What is the smallest common multiple of 10 and (-1)/(-4) + l/12?
20
Let q = -14073/494 - 3/247. Find the common denominator of -37/6 and q.
6
Let y = -5241 + 31535/6. Find the common denominator of 26/9 and y.
18
Let q = -2 - -9. Let c(p) = -p**3 + 8*p**2 - 5*p - 5. What is the smallest common multiple of c(q) and 1 + 10 + -3 + 1?
9
What is the common denominator of ((-82)/40)/(5/10) and 95/8?
40
Let c = -52861/14 + 3773. What is the common denominator of c and -97/6?
42
Let r = -41 - -457. Let k = 1066381/2556 + 13/852. Let i = r - k. What is the common denominator of i and -57/4?
36
Suppose -m = 3*m. Suppose 55 = -m*a + a. What is the common denominator of 5/2 and a/(-2)*2/2?
2
Suppose -2*a + l = -70, 0 = -4*a - a + 5*l + 170. Suppose -6*u + 0*u = -a. What is the least common multiple of 10 and u?
30
Suppose 3*q - 2*q = -w + 30, 5*w - 118 = -4*q. Find the common denominator of q and 5/9.
9
Suppose -5*h - 20 = 5*l, 0*l - 12 = 3*l. Suppose -o + 4 = -h. Calculate the lowest common multiple of o and (-40)/(-6) + 2/(-3).
12
Let m(n) = n**3 + 9. Suppose -2*b = -5*b. Calculate the lowest common multiple of 8 and m(b).
72
Let y = 6 - -2. What is the least common multiple of y and 22?
88
Let w = 71 + -55. What is the lowest common multiple of 16 and w?
16
Let d = -1 - 2. Let w(b) = 4*b**2 + 4*b - 1. Let u = -2041/413 - -5/59. Calculate the common denominator of w(d) and u.
7
Find the common denominator of (25*(-4)/108)/(10/75) and 53/172.
1548
Let z(f) = 1 - 30*f**2 - 2*f + f - 15*f**2. Suppose 3*d = -a + 1, 0 = -0*a - a + d + 1. Calculate the common denominator of z(a) and -61/9.
9
Suppose -2*m + 0*m + 6 = 0. Suppose o = -0 + m. Suppose -o*k + 18 = -12. What is the smallest common multiple of 11 and k?
110
Let y(n) = -n - 6. Calculate the least common multiple of 13 and y(-15).
117
Let z = -5 - -19. Let f(l) = -3*l**3 - 2*l**2 + 1. Let i be f(-1). Suppose i*c - z = c. What is the least common multiple of 12 and c?
84
Suppose 3*n + 2 = 2*j + 2*j, 0 = -3*j + 5*n - 4. Let o = -8 - -9. What is the least common multiple of o and j?
2
Let v = -11/82 - -3435/2378. What is the common denominator of v and -3/10?
290
Let h(d) = 4*d**2 - 3*d + 2. Calculate the smallest common multiple of 4 and h(2).
12
Let l(y) = 30*y**2 - 4*y + 4. What is the lowest common multiple of l(1) and 12?
60
Suppose -4*d = 5*u - 5, 5*d - u + 0*u = 28. Suppose 0 = h - d*h + 72. What is the lowest common multiple of 2 and h?
18
Let t = 21 + -18. Let y = t - 1. Calculate the least common multiple of 10 and y.
10
Let q = 22/93 - 6407/744. Let g = q - -205/8. Calculate the common denominator of -89/2 and g.
4
Suppose 15 = 4*s - r, -3 = 3*s - 5*r + 7. Suppose 49 = 3*p + 4*a + 13, -p + s = -a. Suppose 0 = -15*d + 8*d + 56. What is the least common multiple of d and p?
8
Suppose 4*w = 2*z + 58, 29 = 5*w + 5*z - 6. What is the smallest common multiple of w and 8?
24
Let m = 28 - 17. What is the least common multiple of m and 4?
44
Suppose -2*q + 7 = 1. Let u = 0 + q. Suppose u*v + 0 + 7 = 2*i, -2*v - 2 = -i. What is the lowest common multiple of i and 9?
72
Let g = 31397/36 + -3473/4. Let z = 266/45 + g. Let p = -60/59 - 2001/295. What is the common denominator of p and z?
5
Let q = -9453017/15 - -629931. Let w = q + 16577/60. Let u = 7849 - 172647/22. What is the common denominator of w and u?
220
Let x be -3*(12/9)/(-2). Suppose -7*m + 30 = -x*m. Calculate the smallest common multiple of 14 and m.
42
What is the common denominator of (33/10)/((-6)/(-5)) and (-156)/21 - (4 + -8 + 3)?
28
Let f = 686003979/20 + -34289916. Let b = 10287 - f. Calculate the common denominator of b and 103/6.
60
Suppose 6 = -x + 8. What is the smallest common multiple of 5 and -3 + x - (-1 + -2)?
10
Suppose 3*d - 11 = -2. Suppose -4*i + i = 0. Suppose -t + 2 = p - i, p - 14 = -d*t. What is the smallest common multiple of t and 1?
6
Calculate the common denominator of (-274)/84 - 1 - -1 and ((-3)/(-28))/(-6*2/872).
42
Let w(i) = i**3 - 6*i**2 + 8*i - 7. What is the smallest common multiple of w(5) and 9?
72
Suppose 9 = -5*x - 6. Calculate the common denominator of (-22)/(-33)*606/(-40) and 92/22*x/4.
110
Let p be ((-12)/10)/(6/(-225)). Suppose -5*j + p = -0*j. What is the least common multiple of 2 and j?
18
Calculate the common denominator of (-73)/(-6)*(-27)/(-36) and 83/152.
152
Let x = -3 - -6. Let h = 17 - x. Calculate the smallest common multiple of h and 6/((-4)/(16/(-6))).
28
Suppose -3*v + 4*p - 2 + 15 = 0, 4*v + 3*p - 34 = 0. Calculate the smallest common multiple of 1 and v.
7
Calculate the smallest common multiple of (3 - 8)*12/(-15) and 30.
60
Let b(m) = -m**2 - 16*m - 8. Calculate the lowest common multiple of 20 and b(-14).
20
Let b = 21/4573 + 17788739/50303. Let d = b - 7881/22. Find the common denominator of d and 1 + 214/28 - 2.
154
Let a = -14041/3818 + 206/83. What is the common denominator of -5/11 and a?
506
Let q(s) = -3*s + 4*s**2 + 3 - 2*s**2 - s**2. Let f be q(3). Suppose -d - 22 = -f*d. What is the lowest common multiple of 11 and d?
11
Calculate the common denominator of 109/18 and 214/(-36) - (-14 - -16).
18
Let i = 67 + -31. Find the common denominator of -18/5 and i.
5
Suppose -2*x - 24 = -3*s - 5*x, 5*s + 4*x - 42 = 0. Suppose 3*k + o = 8, -3*k + 0*o + 13 = -4*o. Calculate the lowest common multiple of s and k.
30
Let h = 42 - 12. What is the lowest common multiple of 6 and h?
30
What is the common denominator of (6 - 5)*404/24 and 53/2?
6
Suppose -22 = 4*m - 66. What is the least common multiple of m and 9?
99
Suppose -66 = -2*c - c. Calculate the least common multiple of c and 22.
22
Suppose 0*i + i = 5*z - 75, -3*i + 55 = 5*z. Suppose 2 = -3*u + z. Suppose 16 = r + 2*c, 3*r - c = -r + 19. What is the least common multiple of r and u?
12
What is the common denominator of (138/(-8))/((-3)/(-2)) and ((-1)/(-10)*4)/(216/690)?
18
Let h(a) = -2*a - 12. Let q be h(-6). Suppose -4*f = 3*m - 12, q*m - 12 = -3*m - 5*f. Calculate the smallest common multiple of 8 and m.
8
Let u = -568/5 - -113. Let a = -1685/576 + -19/64. Calculate the common denominator of u and a.
45
Suppose -5*x + 3*s + 1 = 0, x = 3*x + 5*s + 12. What is the common denominator of -89/6 and (-2 - x)/((-18)/(-4))?
18
Let f(n) = -n**2 - 26*n + 9. Let j = -3 - -5. What is the smallest common multiple of j and f(-26)?
18
Let s be 150/54 - (-4)/18. Find the common denominator of ((-94)/(-6))/((-10)/s) and -151/6.
30
Calculate the common denominator of 42 + 0/(-2) + 2 and -46/9.
9
Let i = -30 + 50. What is the common denominator of -59/22 and (-262)/i - (-4 + 3)?
110
Suppose -5*b + 2*c + 1 = -18, -c = b - 1. Suppose 4*k - 32 = -2*f, -b*k + f - 6 = -4*k. What is the smallest common multiple of (-1)/2 + 82/4 and k?
20
Let i = 3625/4 + -4552/5. What is the common denominator of 73/16 and i?
80
Let p(i) be the first derivative of i**4/4 - 5*i**3/3 + i**2 - i - 1. Calculate the smallest common multiple of p(5) and 18.
18
Suppose 3*b - 6*b + 66 = 0. Suppose 0 = 3*y + 3*x - 75, 5*y - y - 3*x - 79 = 0. Calculate the least common multiple of y and b.
22
Let x(s) be the second derivative of -s**4/12 + 3*s**3/2 + 9*s*