. Calculate the common denominator of 82/24 - 2/d and (2 + (-119)/(-3))/6.
36
Suppose 14 = -4*p + 42. Let q = p + 1. Calculate the least common multiple of q and 1.
8
Let j = -4047559767/796090 - 62/79609. Let i be (2 - 510)/(7/70). Let k = i - j. Calculate the common denominator of k and -5/11.
110
Let s(d) = 5*d + 5. What is the least common multiple of 4 and s(3)?
20
Let a = 25 - 11. Calculate the least common multiple of a and 16.
112
Let r = 177867 + -538670/3. Let m = 1668 + r. Calculate the common denominator of m and 13/8.
24
Let u = 24 + 16. Suppose 0 = -2*v - y + 15, -3*y = 4*v + y - u. Let c = 8 - 1. What is the least common multiple of c and v?
35
Let j(v) = -v**3 + 8*v**2 + 5. Let w be j(8). Suppose -5*k + 18 = -4*z, w*z = 2*k - 3 + 6. What is the least common multiple of 2 and k?
6
Suppose -4*r + 22 + 18 = 0. Let u = -4 - -7. What is the least common multiple of r and -32*(u + -1)/(-4)?
80
Let q = 2 - 6. Let u = q + -36. Let g = u + 62. What is the lowest common multiple of g and 16?
176
Let n(b) be the third derivative of b**4/12 + b**3/3 + b**2. Suppose 4 = -i + 7. Calculate the least common multiple of 9 and n(i).
72
Let q = -112 + 47. What is the lowest common multiple of 16 and (-530)/q - 2/13?
16
Let w(z) = z**2 - 3*z + 1. Suppose 2*v + 5*p = -14, 0 = 3*v - 3*p - 1 - 20. What is the lowest common multiple of w(3) and v?
3
Let s(f) = f + 10. Let h be s(-10). Suppose -2*n - 1 + 21 = h. What is the smallest common multiple of (0 + -3)/((-9)/12) and n?
20
Calculate the common denominator of 3/(-45)*535/(-2) and 91/8.
24
Let n = -11 - -17. Let q = 9 + 6. Let b = q + -10. Calculate the lowest common multiple of n and b.
30
Suppose 16*c + 20 = 21*c. What is the smallest common multiple of 22 and c?
44
Suppose 5*j - 19 - 16 = 0. What is the least common multiple of j and 50?
350
Suppose 5*s + 5*o - 85 = 0, 3*s - 2*s - o = 7. What is the least common multiple of 44 and s?
132
What is the common denominator of -143/6 and 2/(-4)*(-46)/(-6)?
6
Let n be (4/3)/(8/12). Calculate the common denominator of ((-15)/(-240))/(2/(-236)) and n - ((-1022)/(-36))/7.
72
What is the lowest common multiple of 5 - (1 + 2) - 76/(-2) and 12?
120
Suppose -3*l = -4*l - 4. Suppose 12 = g - 10. Calculate the common denominator of 2/l + g/4 and 11/8.
8
Suppose 0 = 5*d - 327 + 52. Find the common denominator of -131/12 and (162/(-20))/((-132)/d).
24
Let g be -132*3*(-4)/24. Calculate the common denominator of (-60)/g*(-3)/2 and (-3)/12*(-34)/5.
110
Let o(l) = -l - 13. Calculate the least common multiple of 4 and o(-16).
12
Let t be -3*((-15348)/(-45))/(-2). Let y = -18196/35 + t. Calculate the common denominator of (-922)/(-20) - 2/(-5) and y.
14
Calculate the smallest common multiple of 33 and (6 - 1)*(-138)/(-115).
66
What is the common denominator of -119/24 and -2 + (16/(-8) - (-37)/12)?
24
Suppose -g - 4*g = -390. Suppose 0 = -6*f + f + 4*m + g, 0 = f - 2*m - 12. Let w(z) = 5*z**2 - z + 2. Calculate the smallest common multiple of w(2) and f.
180
Let x = -11774/9 + 1314. Find the common denominator of x and 71/3.
9
Let b = 3112608809/504 + -6175809. Let u = 1/252 - b. What is the common denominator of u and 2/(-4) + -38*1?
8
Let k = -38676719/33756 - -110478/97. Let l = -1/116 + k. Find the common denominator of -91/12 and l.
12
Suppose -2*s = r - 11, 3*r - 3*s + 18 = 5*r. Let i(b) = b**3 - 9*b**2 + 8*b - 3. Let d be i(8). What is the least common multiple of d*(-33)/9 + 0 and r?
33
Calculate the lowest common multiple of (-2)/1 + (31 - 9) and 6.
60
Suppose 0*o - 40 = -3*v - 4*o, 4*o + 24 = v. Suppose -3*f + 4*l = v, 2*f + 2 - 10 = -2*l. Find the common denominator of (-1)/(-6) + (f - -2) and 79/4.
12
Suppose -5*t + 10 = 4*p, 4*t + p - 9 = -1. Suppose -5*c + 38 = -62. Calculate the least common multiple of t and c.
20
Let y be 3*(-2 + 3) - 2. Suppose 2*i - 2*c - 11 - y = 0, -3*c = 2*i + 8. Suppose i*f = 7*f - 15. What is the smallest common multiple of 9 and f?
9
Let q be ((-1)/3)/(4/36). What is the lowest common multiple of 8 and ((-32)/(-24))/((-1)/q)?
8
Let j = 16943/12 - 4160/3. Calculate the common denominator of 87/4 and j.
4
What is the common denominator of (-248)/(-10)*(-6)/12 and -101/8?
40
Suppose 5*g + 129 = -306. Let h = 19 - g. Let w = 1057/10 - h. Calculate the common denominator of w and 27/8.
40
Let z = -1 - -3. Let p(u) be the first derivative of 11*u**4/2 - u**2/2 + u + 1. Calculate the least common multiple of p(1) and z.
22
Suppose -4*j - 5*x = -0*x - 68, 2*j - 60 = 4*x. Let r = 9 + -1. What is the lowest common multiple of r and j?
88
Let p = -2/6213 - -702109/124260. Let y(i) = i**3 - 4*i**2 - i + 5. Let a be y(4). Calculate the common denominator of p and (2 - a) + (-123)/(-60).
20
Suppose -c - 4*c + 40 = 0. Calculate the least common multiple of c and 6.
24
Let q = 3413/35 + -621/7. What is the common denominator of (-168)/9 + (-4 - -2) and q?
15
Calculate the common denominator of 41/66 and 530/330 + 2*(-2)/8.
66
Let k(b) = b**2 + 7*b - 4. Let t be k(-16). Calculate the common denominator of -63/40 and (-15)/(-7)*t/(-40).
40
Let i be (83/6)/((-10)/(-14613363)). Let t = 20228090 - i. Let o = 12941 - t. Find the common denominator of 87/20 and o.
20
Suppose -2*h = -b - 7, 3*b = b - 5*h + 13. What is the least common multiple of 11 and 2 - (-1)/b*-1?
33
Suppose c = 2*c - 6. Suppose 3*q - 30 = -0*q. What is the lowest common multiple of q and c?
30
Suppose -4*r - 3 + 51 = 0. Find the common denominator of 38/5 and (53/r)/(2/6).
20
Let v = -3523/444 + -24/37. What is the common denominator of 94/45 and v?
180
Find the common denominator of 131/6 and 1/4 - 1190/(-600).
30
Suppose -5*s - a = -5*a - 26, -3*a - 12 = 0. Let p = 2580 - 12858/5. Find the common denominator of p and s/(-11) - (-27)/(-396).
20
What is the common denominator of 151/12 and 1 - (67/28 + -1)?
84
Suppose -p + 3 + 0 = 0. What is the lowest common multiple of 16 and p?
48
Suppose 2*b = 4*b - 66. Calculate the least common multiple of 30 and b.
330
Let n be -78*6/(-4) - -1. Find the common denominator of n/(-224) - 10/35 and -75/16.
16
Let h = 3598/3 + -2355/2. Let n be 332/6*554/6. Let m = 5116 - n. Find the common denominator of m and h.
18
Let g = -3510 - -105397/30. Find the common denominator of 83/50 and g.
150
Let t = 26 - 4. Let v(j) = -j**3 - 4*j**2 + 5*j - 26. Calculate the smallest common multiple of t and v(-6).
176
Find the common denominator of -73/30 and 25/(-2)*88/(-1815).
330
Suppose 5*c - 23 = 2. Suppose -5*b + c = -25. Let v = 29 + -7. Calculate the lowest common multiple of b and v.
66
Let a = 6707/11788 + -14/421. What is the common denominator of a and -62/3?
84
Let t = 48 + -34. Suppose 3*v + 4*i + 1452 = -0*v, -5*v = 5*i + 2425. What is the least common multiple of v/(-22) + (-6)/33 and t?
154
Let b(m) = m - 7. Let n be b(6). What is the common denominator of 1001/88 + n*2 and 56/9?
72
Suppose -u + 4*s = -23, u + 1 = 3*u + s. Let n = 6 + -4. Suppose u*y = 4*t - y - 12, -2*y + 26 = n*t. What is the least common multiple of t and 8?
8
Let t = -986/21 - -12371/252. Find the common denominator of t and 35/51.
612
Let v = 85/107 - 18319/11342. What is the common denominator of v and 59/18?
954
Suppose 5*s - 3*u - 372 = -u, 2*s - 156 = -u. Calculate the smallest common multiple of s and 22.
836
Let p(r) = -r**2 - 6*r + 8. What is the lowest common multiple of p(-7) and 3 - (2 + -2) - -12?
15
Let l = 4 - 6. What is the lowest common multiple of (2 - 6)*(-3 - l) and 2 + -1 + 13 + -2?
12
Let r(y) = -y**3 - 13*y**2 + 13*y - 14. Let j be r(-14). Suppose j = 5*m + 2*q - 6*q - 104, -5*q - 105 = -5*m. Calculate the least common multiple of m and 8.
40
Let k(x) = -3*x - 3. Suppose g + 4 = -0*g. Calculate the lowest common multiple of k(g) and 5.
45
Let c(u) = 0*u**2 - 2*u**2 + 1 - 4*u - 2*u - u**3 + 7*u. What is the smallest common multiple of c(-3) and 4?
28
Suppose -5*q - 8 = -3*a - 3*q, 5*q - 25 = 0. Calculate the lowest common multiple of 11 and a.
66
Let l(y) = 19*y**3 + 3*y**2 + 2*y. Let f(v) = -9*v**3 - 2*v**2 - v. Let j(g) = 5*f(g) + 3*l(g). Calculate the least common multiple of j(1) and 6.
12
What is the common denominator of -4/5 and ((-8)/444)/((-4)/(-258))?
185
Let a = 2/28497 - -2194229/569940. Calculate the common denominator of 109/14 an