58 + -30553095/8. Let f = v + -9233. Let s = 47/21 + -2759/210. What is the common denominator of s and f?
40
Let x = -136486/5 - -55817/2. Let i = -613 + x. Let v = 0 - -1/20. What is the common denominator of v and i?
20
Suppose -3*b + 12 = -b. Let l(i) = 2 - 2*i**2 + i**3 - 2*i + 0*i**2 + 0. What is the lowest common multiple of b and l(3)?
30
Let m be 24/30*(-35)/2. What is the common denominator of 39*((-40)/m + -3) and ((-4)/(-110))/((-1)/10)?
77
Let w be -1 + (-11)/32 + 2. Let p = -285/32 + w. Let s = -4/4123 - -251567/65968. Calculate the common denominator of p and s.
16
Suppose 5*f - 2 = 2*l + 2*l, 0 = -2*l - 5*f + 14. Let g = 3 - -1. Suppose -n = -2*n + g. Calculate the lowest common multiple of l and n.
4
Let i(b) = 2*b + 4. What is the lowest common multiple of 16 and i(9)?
176
Suppose -69*m = -64*m - 45. What is the smallest common multiple of 6 and m?
18
Calculate the common denominator of 5/6 and (-7 - -9) + 73/(-18).
18
Let j = -11 - 3. What is the least common multiple of (72/j)/((-6)/28) and 6?
24
Suppose 4*v + 79 = 5*t, -2*v - 33 - 29 = -4*t. Let z = -487 + 45. Calculate the common denominator of t and 2/8 - z/(-72).
9
Let r(q) = -q**3 + 6*q**2 + q - 6. Let m be r(6). What is the least common multiple of 14 and 10 + 0*(1 + m)?
70
Suppose -3*q = -y + 8 + 26, 0 = 5*y - 2*q - 170. Find the common denominator of ((-1)/(-12))/((-2)/y) and 1 + 2/(24/250).
12
Suppose -4*n + 2 = 2*t, 2*t = -3*t + 3*n + 5. Let v be 77032/(-36) - (t + 1). Let f = 2136 + v. What is the common denominator of 35/8 and f?
72
Let z = -423276150 - -1141152524615/2696. Let b = z + -36/337. What is the common denominator of b and 31/6?
24
Calculate the common denominator of 17/8 and (10*2/72)/((-2)/(-30)).
24
Let i(j) = -j**2 - j + 8. What is the least common multiple of 10 and i(0)?
40
Suppose -13 + 23 = 5*f. What is the smallest common multiple of f and 32?
32
Let q(a) = 12*a + 2. Let u(o) = -o**3 + o**2 + o - 3. Let v be u(0). Let h = -83/37 - 317/370. Find the common denominator of q(v) and h.
10
Let u(c) = -11*c - 2. Suppose 4*k - 172 = -3*d, -46 = -3*k + 3*d + 62. What is the smallest common multiple of u(-2) and k?
40
Suppose -5*j - 5*z = 10, 0*z = -2*j - z - 1. What is the lowest common multiple of j and 12?
12
Let o be -43886*2/176*6. Let f = 2989 + o. Calculate the common denominator of f and 13/(-18)*255/(-34).
132
Let k(f) = f**3 - 3*f**2 - 3*f + 24. Calculate the smallest common multiple of k(4) and 4.
28
Calculate the common denominator of -1*-1*(-18)/22 and 3030/(-3120) + (-4)/26.
88
Let f(b) = 12*b**3 - b**2 - b - 1. Let w be f(-1). Let k = 30 + w. What is the lowest common multiple of 3 and k?
51
Let k(c) = -3*c**3 + 2*c**2 - 1. Let z be k(-1). Let q = 7 - z. Calculate the smallest common multiple of 8 and q.
24
Let c(k) = -k**2 - 11*k - 11. Let i be c(-9). Let g = i - 0. What is the smallest common multiple of g and (-5 - 0)*2/(-5)?
14
What is the common denominator of 0 - (3 + (-185)/130) and -91/22?
286
Suppose -14 = -4*b - 4*j + 22, 0 = -2*b + 2*j + 18. Let o = b + -1. Calculate the smallest common multiple of o and 10.
40
Let w = 5672 - 79375/14. Find the common denominator of 77/20 and w.
140
Let y be -2 - 28273940/(-1514) - -2. Let u = -18675 + y. Let r = 55246/2271 - u. Calculate the common denominator of r and -20/3.
3
Let b = 3/82 - -341/205. What is the common denominator of b and 57/14?
70
Suppose -2*x + w = -37, 0 = 5*x + w - 0*w - 75. Let b = 27 + -5. Suppose 75 = 5*f + 5*r, -4*f + 8 = -2*r - b. What is the lowest common multiple of f and x?
80
Find the common denominator of (14 - 15) + 22/94 and -63/4.
188
What is the common denominator of 9/17 and 394/(-72) - 7/(-28)?
153
Let x(p) = -p**2 + 10*p - 8. Calculate the smallest common multiple of x(8) and 1.
8
Let b = -551/16 + 259/8. What is the common denominator of b and -83/8?
16
Suppose 0 = -4*m + 18 + 30. Let f = -8 + m. What is the least common multiple of 22 and f?
44
Let p be (-233)/6*136/(-3). Let u(b) = -14*b**2 + 6*b - 7. Let i be u(-11). Let q = p + i. Find the common denominator of q and 27/5.
45
Let h = 55165/16 + -3445. Calculate the common denominator of 131/12 and h.
48
Calculate the common denominator of -71/18 and (-1111)/242 + 1*4.
198
Suppose 2*g = -5*y + 12269, 5 = 4*y - 7. Suppose 0 = 2*k + g - 1245. Let j = 24501/10 + k. Calculate the common denominator of 81/10 and j.
10
Let i(w) = -w**2 - 1. Let d be i(0). What is the common denominator of d + -6 - (-2)/(-8) and -119/10?
20
Let j(t) = -t**2 - 9*t + 18. Calculate the least common multiple of j(-10) and 6.
24
Let l(d) = 6*d**2 - 1. Let s be l(-1). Let q be s/(10/25496) - -2. Let a = q + -153149/12. Calculate the common denominator of a and -93/22.
132
Suppose -3*q = -4*q + 14. Let i(v) = v + 1. Let p(h) = 7*h + 2. Let r(f) = -6*i(f) + p(f). What is the least common multiple of q and r(6)?
14
Let f = -158 + 178. Suppose -3*j + 69 = 3*d, -j = -4*d + j + 74. Calculate the smallest common multiple of d and f.
20
Suppose 4*r - 4*p - 175 = -p, -45 = -r + p. Suppose r = -2*h + 6*h. What is the least common multiple of h and 14?
70
Let l = 3/4502 + -76615/121554. Calculate the common denominator of l and 65/42.
378
Let r = 3 - 1. Suppose 8 = a - 0*a. Calculate the lowest common multiple of r and a.
8
Suppose -3*k + k + 10 = 0. Suppose -3*w + w + 15 = -k*x, -1 = -x. Calculate the least common multiple of 18 and w.
90
Calculate the lowest common multiple of ((-10)/4)/5*-44 and 16.
176
Calculate the common denominator of (-145)/(-40) + 1 + 1 and -56/11.
88
Let b = 49 - 33. Suppose -4*f + 176 = 4*f. Calculate the smallest common multiple of b and f.
176
What is the common denominator of 436/(-20)*15/108 and -23/24?
72
Let f be (-2)/(-6)*31517/(-2). Let a = -5240 - f. Calculate the common denominator of a and 51/2.
6
Let n = 800/11 - 15137/198. What is the common denominator of -65/12 and n?
36
Suppose 0 = -3*q + y + 134, 0 = -2*q + 3*q + y - 50. Calculate the least common multiple of q and 4.
92
Let s(o) be the third derivative of -o**5/60 + 5*o**4/24 - 2*o**3/3 + 2*o**2. Let y be s(3). Calculate the smallest common multiple of 2 and 19 + (-3 + y)/(-1).
20
Let f = 154 - 110. What is the least common multiple of 18 and f?
396
Suppose 0 = -21*q + 13*q + 32. Suppose 1 + 17 = z. Calculate the least common multiple of q and z.
36
Find the common denominator of 1380/(-64)*(-2)/5 and 79/14.
56
Let z(t) = t**2 - t + 2. What is the lowest common multiple of 18 and z(2)?
36
Let q be 5188/(-10) + -3 - 2. Let c = q + 1033/2. Find the common denominator of c and -7/8.
40
Suppose 48 = 3*r + 2*u, 4*r - 8*r - 3*u + 65 = 0. Calculate the lowest common multiple of 6 and r.
42
Let r = -12420 - -273171/22. Calculate the common denominator of r and 45/58.
638
Let m = 2/4001 + 99989/72018. Calculate the common denominator of m and 49/16.
144
Suppose -g + u = -6, g + 2*g - 10 = -u. Find the common denominator of -145/6 and 257/66 - g/6.
66
Let l = 27 - 10. Let s = l - 6. What is the lowest common multiple of 9 and s?
99
Let d(v) = -v**3 + 17*v**2 - 14*v - 28. What is the smallest common multiple of 65 and d(16)?
260
Let y be (-12)/66 - (-29800)/164021. Let p = -1028887/208754 - y. What is the common denominator of p and -69/4?
28
Suppose -4*p - 3*s - 2*s = -38, -p = 4*s - 15. What is the lowest common multiple of p and 16?
112
Suppose -2*f = l - 48, -8*f + 3*f + 2*l = -120. Calculate the common denominator of -25/8 and ((-38)/f)/(2/28).
24
Suppose 20 = -p + 6*p. Suppose 6 = 2*h - 0*h, 28 = -2*u + p*h. What is the common denominator of ((-42)/u)/((-81)/(-144)) and 5/11?
33
Suppose 2*v - 4 = v. What is the common denominator of -115/24 and ((-105)/v)/((-3)/(-2))?
24
Let w(z) = -z + 19. Calculate the smallest common multiple of w(10) and 11.
99
Find the common denominator of 0 - 67/8 - -3 and 97/4.
8
Suppose -50 = -5*c - 0*c. Calculate the least common multiple of c and 10.
10
Let c = 3 + -5. Calculate the least common multiple of (24 + -6)*c/(-3) and 1.
12
Find the common denominator of (14/56)/((-30)/452) and 161/30.
30
Let r = 169/4 + -42. What is the common denominator of r and ((-138)/27 + 3)*12?
12
Let b(y) = -y**2 + 3*y + 3. Let r = -13 - -18. Calculate the smallest common multiple of r and b(3).
15
Suppose -20 = 3*p - 4*p + 2*z, 1