3106021329/5842035. Let f = 2233 + m. What is the common denominator of f and -3/2?
10
What is the smallest common multiple of 6 and (-10)/(-60)*231 + 1/(-2)?
114
Let p = 3/422 + 5685/1688. Find the common denominator of p and 17/4.
8
Let a(o) = 74*o**3 + o**2 - 2*o + 5. Let r be a(5). Let c be 4/(-20) + 1814/r. Let x = c + -21289/7416. What is the common denominator of x and -101/22?
88
Let d = -368/39 - -36/13. Find the common denominator of (-14)/(-20)*65/(-2) and d.
12
Let d = -1069 + 4239/4. What is the common denominator of d and 22/5?
20
Let t = -25831/14 - -1844. Calculate the common denominator of 11/4 and t.
28
What is the common denominator of (-4)/6*555/(-30) and -22/59?
177
Let l be (-5015)/(-896) - (-1 - -2). Let m = -15/128 - l. Calculate the common denominator of m and 1 + (2 - 87/21).
7
Suppose i - 2 = 4*d - 0, 0 = -3*i + d + 28. Let y(q) = 2*q - 1. What is the smallest common multiple of i and y(6)?
110
Suppose -2*l = -6*l - 56. Let q be 80/14 - 4/l. Let t(u) = u**2 - 4*u - 8. What is the lowest common multiple of 18 and t(q)?
36
Let a = -2807/531 - -2/3717. What is the common denominator of -32/7 and a?
7
Suppose 0 = -2*q - 4*w + 28, 0 = 2*w + 1 - 3. Calculate the smallest common multiple of q and 14.
84
Suppose 0 = 5*u - r + 7 - 2, 5*r + 31 = -3*u. Let s(l) = -2*l - 19. Let x be s(-11). Find the common denominator of x + (-6)/4 + u and -61/3.
6
Suppose 3*r + 3 - 9 = 0. Find the common denominator of (282/(-4) - r)/(-3) and 109/10.
30
Let f(u) = -6*u - 8. Calculate the smallest common multiple of f(-5) and 20.
220
Suppose 5*y = 2*y + 24. What is the least common multiple of y and 11?
88
Let y = -191846298 + 1850549382971/9646. Let u = y + -3/689. What is the common denominator of 22/(-60) + (-6)/(-9) and u?
70
Calculate the smallest common multiple of 2/(-7) - (-44)/7 and (3 - 1)*40/16.
30
Let r be (1 + -3)*(-7917)/14. Let n = 6815/6 - r. What is the common denominator of 137/6 and n?
6
Let b = -17 + 19. What is the lowest common multiple of b and 8?
8
Suppose -8 = -s - 0. What is the lowest common multiple of s and 5?
40
What is the common denominator of 652/(-120) + -4*1/(-8) and 119/30?
30
Let k = 3/11 - -197/44. Calculate the common denominator of -73/2 and k.
4
What is the lowest common multiple of 25/10*12/5 and (-2)/(0 + 2/(-3))?
6
Let u(t) be the third derivative of t**5/30 - t**4/12 - t**3/2 + 2*t**2. What is the least common multiple of 3 and u(3)?
9
Suppose -2*f + 6 = -0*f. What is the common denominator of 26/(-8)*(-2)/f and 1/9?
18
Let r(q) = -q**3 + 3*q**2 - q - 2. Let g be r(2). Suppose 4*l + 16 + 10 = k, g = 2*k - l - 31. What is the smallest common multiple of 4 and k?
28
Suppose -2*t = -3*k - 24, 0 = -3*k - 5*t + 7 - 31. Let s(j) = j**2 + 5*j + 2. What is the lowest common multiple of s(-5) and ((-27)/(-36))/((-1)/k)?
6
Let d(o) = o**3 + 9*o**2 + 6*o - 8. Let c(b) = b**2 - 3. Let r be c(3). Let x = 24 - r. Calculate the lowest common multiple of x and d(-8).
72
Let t = 21 + 0. What is the smallest common multiple of t and 8?
168
Calculate the common denominator of 83/4 and (12/(-8) - -1)*142/20.
20
Let w = 5248 - 819. Let n = 26515/6 - w. Calculate the common denominator of n and 33/16.
48
Let j(v) be the third derivative of v**5/60 + v**4/8 + v**3/6 - 5*v**2. Let i be 2 + 2/(-2) + -5. What is the least common multiple of 6 and j(i)?
30
Let x = 3 - -1. Calculate the least common multiple of 6 and x.
12
Let s = -209/4 + 1003/20. Suppose -2*i - 195 = -5*q + 3*i, -5*q + 215 = -i. What is the common denominator of s and 2 - ((-18)/q + 1)?
110
Let t be -2 - (-2)/3*3. Suppose -3*u - 3*a = -9, -3*u + 3*a = -t*a - 33. What is the least common multiple of u and (-2)/8 + 13/4?
21
Let i = 35347/10 - 3543. Find the common denominator of i and 143/18.
90
Let m be ((-4)/(-6))/(2/6). Let h = m + -3. What is the common denominator of ((-20)/24)/(h/39) and -59/8?
8
Let b = 1300 - 12901/10. Let o = -6/161 - -2797/1610. What is the common denominator of o and b?
10
Let k = 9085/9 + -1011. Let u(n) = 14*n**3 - n**2 - n - 1. Let v be u(-1). What is the common denominator of 0 + -1 + (-93)/v and k?
45
Let l = 83 - 82. Calculate the lowest common multiple of l and 7.
7
Let y be 1/((6/(-4))/3). Calculate the common denominator of y + ((-123)/60 - -2) and ((-3)/(-30))/(1/(-87)).
20
Let d(m) = -m**3 - 3*m**2 + 6*m + 5. Let t be d(-4). Let w(j) = 5*j**3 + j**3 - 4*j + 3*j**2 - 5*j**3 - 2. What is the smallest common multiple of w(t) and 5?
10
Let y = -3 + 6. Let w(o) = -o**3 + 3*o**2 + 3. Calculate the least common multiple of (-4)/(-10) - (-212)/20 and w(y).
33
Let v(p) be the third derivative of p**5/12 + 3*p**2. Calculate the lowest common multiple of 3 and v(1).
15
Let x = 10 - 8. What is the least common multiple of 4 and x?
4
Let m(j) = j**2 - 2*j - 6. Let n be m(-4). Suppose 2*t - 20 = t. Find the common denominator of n/t + 3 + -2 and 45/22.
110
Let t = 9 - 7. What is the smallest common multiple of t and 32?
32
Suppose -3*c = -12 + 3. Suppose -4*b + 7*b + 2*u = 0, 2*b = -5*u. Suppose -4*x + 12 = -b*x - z, -2*z = x - c. What is the lowest common multiple of x and 11?
33
Suppose 18 = 3*r + 9. Calculate the smallest common multiple of 9 and r.
9
Suppose 3*w + 101 = -34. Let q = 4448/5 - 17873/20. What is the common denominator of (3/w)/((-2)/(-369)) and q?
20
Suppose 39 = 2*z - 5. What is the least common multiple of z and 20?
220
Suppose 17 - 1 = 4*w. What is the smallest common multiple of w and 12?
12
Let y = -16 - -22. Let f = 8 - 6. Suppose 0 = w - 12 - f. Calculate the lowest common multiple of w and y.
42
Calculate the common denominator of (-32)/(-40) - 2163/(-90) and 35/3.
6
Let k = -41611327/5698 + 469/407. Let q = 7305 + k. Let n = 494339/22 - 22466. Calculate the common denominator of q and n.
154
Suppose r - 2 - 5 = 0. Let y(m) = -3*m**3 + 2*m - 1. Let k be y(1). Let w = 7 - k. Calculate the smallest common multiple of w and r.
63
Let q be ((-6)/9)/((-2)/9). Suppose n - 36 = -q*n. Let f = n - 5. What is the lowest common multiple of 6 and f?
12
Suppose 0 = 5*p - 4 - 26. What is the smallest common multiple of 10 and p?
30
Let z = -111101/18 + 6176. Find the common denominator of z and 67/4.
36
Suppose -2*k + 51 + 13 = 4*d, -k = 4*d - 42. Calculate the least common multiple of k and 46.
506
Suppose q + k - 2 = 0, 4*k - 4 = -3*q + q. Suppose -4*r + q*r + 40 = 0. Calculate the least common multiple of r and 2.
20
What is the common denominator of (50/35)/((-24)/(-70)) and -89/16?
48
Let i be (-1225)/(-161) + (-2 - -1). Let s = i + 1411/138. Calculate the common denominator of 4/3 and s.
6
Let j(k) = -4*k**3 - 15*k**2 + 6*k**2 + 8*k**2 + 1. Let d(h) = -h**2 + 8*h. Calculate the lowest common multiple of j(-1) and d(6).
12
Let g(o) = 43*o - 3. Let p be g(-6). What is the common denominator of (-6)/33 - p/66 and 73/16?
176
Suppose 1 = 4*t - 27. Let w = t + -13. Find the common denominator of -97/10 and (-3)/(-9) + (-301)/w.
10
Let v(w) = -16*w**3 + 8*w**2 - 3*w - 8. Let a be v(-8). Let x = a + -52469/6. What is the common denominator of x and -41/5?
30
Suppose -5*i + 29 = -2*s + 1, 0 = 5*i - s - 29. What is the common denominator of (i/(-4))/(330/920) and -9/7?
77
Let w = -47389 - -2654033/56. Let v be (2*1)/((-7)/(-16)). Let m = w - v. Calculate the common denominator of m and -47/8.
8
Let w be (-1)/(201/99 + -2). Find the common denominator of -3*3/w*2 and 47.
11
Suppose 3*p - 8 = -5*z, 2*p + 5 + 11 = 2*z. Suppose 4*w + k - 38 = 0, -w + z*k + 37 = 4*w. Calculate the least common multiple of (-3)/(-9) - 20/(-3) and w.
63
Suppose 2*r - 149 = 2*k - k, 3*k - 323 = -4*r. Suppose -3 - r = -5*a. Find the common denominator of a and -19/5.
5
Let w = -3600 + 79227/22. Find the common denominator of 101/22 and w.
22
Let n = -12 + -1. Let j be (-1)/(1 - n/(-12)). Suppose -k + j = k. What is the lowest common multiple of 12 and k?
12
Suppose -6 + 76 = w. Let o = w - 50. Calculate the smallest common multiple of 14 and o.
140
Let v be (-2)/9 - (-11)/9. Let b(w) = -309*w**2 + 1. Let a be b(v). Find the common denominator of (-2)/20*a/4 and -14/3.
30
Let b = -6 - -15. Calculate the lowest common multiple of b and 2.
18
Calculate the common denominator of ((-1)/(-15))/(34/(-4437)) and -23/8.
40
Let k(n) = 2*n + 3. Let q be k(-2).