8774 + 105403/12. Let h = 714149/54 - 13224. What is the common denominator of j and h?
108
Suppose 0 = 4*w - 48 + 32. Let f(u) = -u + 17. Calculate the least common multiple of w and f(7).
20
Let d(m) = 15*m - 111. What is the lowest common multiple of d(17) and 72?
144
Suppose -2*x + 22 = -2*m + 7*m, -m = 3*x - 20. Find the common denominator of (x/33)/((-6)/111*1) and 35/17.
187
Suppose 105 = -2*d + 517. What is the smallest common multiple of 18 and d?
1854
Let u be (((-6)/(-5))/2)/((-12231)/(-18)). Let x = 120061/18120 - u. What is the common denominator of (2/16 - 1)/2 and x?
16
Let p = 20221/1758 + -2/879. Suppose 0 = 2*s - s - 511. Let t = s + -2527/5. Find the common denominator of p and t.
10
Let f(r) = -r + 12. Let v be f(4). What is the least common multiple of 2/4 - 3/(-6) and (-6)/(-4) + 4/v?
2
Let f = 2520 + -2514. What is the lowest common multiple of 102 and f?
102
Suppose 29*u - 8448 = -19*u. What is the least common multiple of u and 132?
528
What is the common denominator of 6/2 - 11/9 and (280/540)/((-2)/(-12))?
9
Suppose -z = -7 - 1. Suppose -5*y = -2*r - 215, r = -5*y + 4*y + 50. Calculate the lowest common multiple of (-4)/36 + ((-4445)/y)/(-7) and z.
56
Let f be (7/(-14))/(-1*2/40). Find the common denominator of ((-2)/12 - 0)/(f/402) and -85/38.
190
Let z = -27942 + 8382481/300. What is the common denominator of -41/130 and z?
3900
Calculate the least common multiple of 67 + 3/(-12) + (-21)/(-4) and 6.
72
Suppose 0 = 5*v + 3*c - 100, -20 = 4*v - 4*c - 100. Let d = 38 - v. Suppose 0 = w - 4*w + d. Calculate the smallest common multiple of w and 11.
66
Let h = 3254 - 25947/8. Calculate the common denominator of 41877/2772 - 6/7 and h.
8
Let v = -1243/2 - -2385/4. Calculate the common denominator of v and (-9)/(-21)*(3 + -22).
28
Let h(s) be the second derivative of s**4/12 - 3*s**3/2 - 2*s**2 - 5*s. What is the least common multiple of 10 and h(10)?
30
Let b = 43/75 - -713/50. Let w = 5/613 - -63089/6130. Find the common denominator of w and b.
30
Let q be ((-4)/(-230))/((14/20)/(-1)). Let x = q - 13653/1288. Calculate the common denominator of -107/12 and x.
24
Let w(q) = q**3 + 6*q**2 - 8*q + 8. Let k be w(-7). What is the smallest common multiple of 12/k*(5 + 0) and 8?
8
Let r be (-4)/(-14) + (-24)/(-14). Calculate the least common multiple of r/6*(-360)/(-6) and 8.
40
Let s be 5/(-10) - 60/8. Calculate the common denominator of -70/3 and (s/27)/(24/10 - 2).
27
Let c be (2653/(-644))/((-5)/(-3714406)). Let y = 3060360 + c. Let w = y + -123/23. Find the common denominator of w and 12/7.
70
Let d(z) = 5*z**2 - 8. Let g(o) = -o - 1. Let b(q) = -d(q) - 6*g(q). Let l be b(15). Let w = l - -8141/8. Calculate the common denominator of w and -63/20.
40
Let w = 346 - 504. Find the common denominator of 119/12 and (4 - 9)/(-80)*w.
24
Suppose 0 = 18*n - 17*n - 105. Let h = n + -87. Suppose -2*z = 2*z - 72. What is the least common multiple of h and z?
18
Let p(v) = v**2 - 6*v - 12. Let u be p(10). What is the lowest common multiple of u/4*72/28 and 96?
288
Suppose 2*x - 3*t + 38 = 2*t, x - t = -13. Let c = 10798 + -129451/12. Find the common denominator of c and (10/x)/(36/(-207)).
36
Let f(h) be the second derivative of 0 - 6*h + 1/6*h**3 - 1/2*h**2 + 1/2*h**4. Calculate the least common multiple of f(1) and 7.
42
Let s be 672998/(-8) - (-4)/(-8). Let t = -83393 - s. Let u = 707 - t. Find the common denominator of 23/4 and u.
4
Let y(x) = -2*x. Let n be y(0). Find the common denominator of 17/10 and n + (-116)/(-10) + -4.
10
Let t = -7 - -9. Suppose h + 2 = t*g + g, -10 = -g + 5*h. Suppose g*j = -2*j + 4. What is the least common multiple of 10 and j?
10
Suppose 0 = u - 6 - 12. Suppose 2*j = -j + u. Let b = -53 + 71. Calculate the lowest common multiple of b and j.
18
Let c = 42335/9297 + 2/1033. Find the common denominator of c and (5 - -10 - (-1 + -1))*(-15)/45.
9
Let y be ((-617)/290)/(14/(-5)). Let w = -2/203 + y. Find the common denominator of (4 - 320/105)*35/(-6) and w.
36
Suppose 437 = -67*x + 90*x. Let g = -3 - -14. Suppose g = 5*h - 4. What is the smallest common multiple of h and x?
57
Let f = -33 - -38. Let k be -1*(150/(-2))/f. Find the common denominator of (-44)/k + 10/30 and 91/22.
110
Find the common denominator of (-44)/(-16) - (0 - 2) and 13/6.
12
Let k(y) = 3*y + 6. Let c(s) = 2*s**2 - 168*s + 495. Calculate the least common multiple of k(7) and c(3).
27
Let z be 2/(-5) - (-18776831396914)/35760. Let y = z - 525079172. Let u = y + 4/447. Calculate the common denominator of u and 97/24.
24
Calculate the smallest common multiple of (1*2/(-4))/((-402)/57888) and 96.
288
Suppose 54 = 5*m - 46. Suppose 17 = 5*n - 2*j, 0 = n + 3*j + 2*j - 25. Let z = m - n. What is the smallest common multiple of z and 6?
30
Let f = 14 - 12. Suppose -2*k + 32 = -q - k, f*q + 64 = k. Calculate the common denominator of (q/22 - -1)/(-2) and -71/10.
110
Let b = -180 - -340. Let s = b - 148. What is the lowest common multiple of s and 21?
84
Let u be (-6)/(-190)*65334/(-540). Let s = -6/475 + u. Calculate the common denominator of (-117)/4*(-4)/66 and s.
66
Let o = 23 + 17. What is the least common multiple of 50 and o?
200
Suppose -37*n = -279 - 1719. What is the lowest common multiple of n and 36?
108
Let t(u) be the first derivative of -13*u**3/3 - 2*u**2 + u + 4. Let b be t(-3). Calculate the common denominator of 5/15 - b/(-15) and 41/9.
45
Let z be (-4)/(-168)*9*1354/(-531). Let a = z - -21/59. Find the common denominator of a and 22.
21
Let i = 67 - 62. Suppose -t + i*g = -17 - 11, 0 = 4*t - 4*g - 32. Calculate the least common multiple of 17 and t.
51
Let g = 782 - 768. Let m(t) = 22*t**2 - t - 1. What is the least common multiple of g and m(-1)?
154
Let r = -91 + 103. Calculate the lowest common multiple of r and (-3 - -18)*(0 - -1).
60
Let i be 0 + (-3)/1 + 4. Let c be (-20)/30*(-2 - i). Find the common denominator of c + ((-89)/(-2))/(-1) and -1/8.
8
Suppose 5*f = -2*n + 158, 2*f - 68 = -0*n + 4*n. Let r = 85717/18 - 4760. Find the common denominator of r and 2/(-4) + 5 + (-210)/f.
144
Let z(m) = -m**3 + 7*m**2 - 26*m + 273. Suppose 0 = -5*x + 22 + 8. Calculate the smallest common multiple of z(8) and x.
6
Let i = 2005 + -4105/2. Let t be (3/(-60))/(2/14148). Let r = t - -355. Find the common denominator of i and r.
10
Let w = 7 + 1. Suppose -10*d + w*d + 4 = 0. Suppose -d*l - 8 = -6*l. What is the smallest common multiple of l and 16?
16
Let g = -103 + 221. Suppose 269 = -9*x - g. Find the common denominator of -22/25 and x.
25
Let w = -846 + 1767. Calculate the least common multiple of w and 3.
921
Let o(z) = 5*z + 120. What is the least common multiple of 35 and o(12)?
1260
Let n = 421/12 - 127/3. Suppose 3*z - u + 2146 = 0, 2171 = -3*z - 0*z - 4*u. Calculate the common denominator of n and 2/(-15) - z/(-360).
8
Let d be (-4 - (-45)/10) + 10/(-4). Calculate the common denominator of 1/2*266/(-6) and 8/20 - d/220.
66
Suppose -3*y = -17 + 5. Let l(w) = w**3 - 3*w. Let z be l(y). Suppose -4*s + 20 = 2*a - 8, 4*a - z = -4*s. Calculate the lowest common multiple of 2 and a.
12
Let c = 65 - 60. Suppose -4*m - m = -3625. Find the common denominator of 1/c*m/40 and -51/11.
88
Suppose 0 = 4*r - 4*y - 410 + 74, 5*y = -4*r + 300. Calculate the least common multiple of r and 200.
400
Let v = 9 - 4. Suppose -h = 2*c - v*c + 20, -3*h = -2*c + 4. Calculate the lowest common multiple of 3 and c.
24
Let q = 3686 + -18373/5. Let f = 66241/10 + -6631. Calculate the common denominator of f and q.
10
Suppose -v + 0*v - r = -50, -3*r - 228 = -4*v. What is the smallest common multiple of 72 and v?
216
Suppose -5*r + 45 = 11*o - 13*o, 3*o - 15 = 0. Calculate the lowest common multiple of 157 and r.
1727
Suppose -54*u = -48*u - 240. Calculate the lowest common multiple of u and 24.
120
Suppose -3*w = -w - 24. Calculate the least common multiple of w and (-36 + (-1 - -4))/(-1).
132
Suppose -29 = -3*s - 4*m + 1, 5*m + 30 = 3*s. Find the common denominator of (-262)/36 - s/30 and 103/22.
198
Suppose 5*p - 8 - 32 = 0. Let x = p - 22. Let y = -8 - x. Calculate the least common multiple of y and 5.
30
Suppose -2 - 1 = -x. Suppose -x*p + 48 = -4*p. Find the common denominator of -109/22 and 4/24 + 29/p.
176
Let l = 881/462 + 1/22. Find the common