. Let k = -17473/234 - u. Find the common denominator of -11/18 and k.
18
Calculate the smallest common multiple of (-2)/6 - ((-4544)/24 + -3) and 2.
192
Let j be 8*2 + (-3 - -2). Let a = -15 + j. Suppose 4*k = -3*l - 129, l = -a*l + k - 36. Find the common denominator of l and -123/10.
10
Let m(u) = u**2 - 2*u + 2. Suppose -1365 = 11*w - 1409. What is the least common multiple of m(2) and w?
4
Let r = 4 - 1. Let x = 0 + r. Suppose 2*t + 96 - 80 = 3*m, -3*m - 4 = 2*t. Calculate the lowest common multiple of x and m.
6
Let h(v) = v**2 - 12. Let y be h(0). Calculate the common denominator of 2/(-6) + 95/33 and 53*(9/y - -1).
44
Suppose -162*z + 157*z + 650 = 0. What is the least common multiple of 20 and z?
260
Let l(a) = -a**3 + 7*a**2 - 6*a + 6. Let q(v) = -14*v - 37. Calculate the lowest common multiple of l(6) and q(-3).
30
Let c(v) = -132*v - 506. Calculate the lowest common multiple of 66 and c(-4).
66
Let w be 16/48 + (-8501)/(-1830). Let j = w + -17/61. Find the common denominator of j and -73/8.
40
Suppose -h = -3*h + 188. What is the smallest common multiple of h and 2?
94
Calculate the lowest common multiple of 293 and 10/7 - (-36)/63.
586
Let c be (-344)/5*135/(-100). Let g = c + -89361/950. What is the common denominator of -52/5 and g?
190
Let p(d) = 3*d**2 + 4*d + 1. Suppose -9 = -x + 3*b, -4*x + 7 + 7 = -b. Let q be p(x). What is the common denominator of -131/6 and 362/q + -1*3?
60
Let a be 2 + -2 + (-4)/(-1). Suppose 5 - 30 = -p - 3*x, 3*p - x = 65. Calculate the least common multiple of 44/(-3)*(-6)/a and p.
22
Suppose -y = -707 - 98. Let t = y + -3239/4. Calculate the common denominator of t and (15/(-8))/((-18)/116).
12
Suppose -2*a - 2*a = 0. Suppose r = -a*r + 12. Suppose -2*w = -0*w - r. What is the smallest common multiple of w and 6?
6
Suppose b - 1 - 3 = 0. Let y be 4/((-6)/3) - -6. Suppose 0 = 5*v, y*n = -n - v + 30. Calculate the least common multiple of b and n.
12
Let w = -10275 - -1222771/119. Find the common denominator of 11/7 and w.
119
Let y be (-10644)/(-889968)*(-5)/((-45)/12918). Let q = 2/18541 + y. What is the common denominator of 93/16 and q?
48
Let w = -111 - -51. Find the common denominator of -17/22 and (-3)/(w/(-4)) + (-278)/(-340).
374
Suppose -v - 3*y - 198 = 0, -772 = 2*v + 2*v + 2*y. What is the least common multiple of 40 and v/(-60)*(1 - -4)?
80
Suppose 23*t - 20*t + 12 = 0, -36 = -2*l - t. Suppose 0 = 2*i - 2*c - 30, c = 2*i - 0*c - 25. What is the lowest common multiple of l and i?
20
What is the common denominator of (-13700)/(-1720) + -6 + -1 and 27/22?
946
Suppose 0 = p + 4*x - 23 - 2, 111 = 3*p + 3*x. Suppose 28 = 3*d - 4*a + 3*a, 0 = -5*d - 4*a + p. Calculate the smallest common multiple of d and 11.
99
Suppose -4*i = -4*l + 27 + 29, -3*l = 4*i - 21. Calculate the smallest common multiple of 66 and l.
66
Suppose 10733 + 10379 = 8*r. Let o be r/(-660) - (-15 - -11). Let m = o - 3094/165. Find the common denominator of m and -29/6.
12
Find the common denominator of (-12)/28 - 5976/(-9632) and -56/129.
516
What is the smallest common multiple of ((-9)/27*10)/((-4)/126) and 60?
420
Let h(v) = 36*v + 27. Let d be h(-5). What is the common denominator of d/10*3/18 and 131/12?
60
Let q be 1 + -1 + 8 + -4. Calculate the common denominator of 6/3 - 9/q and -146*((-111)/28 - -4).
28
Let x(f) = 407*f + 23. Let q be x(-16). Let b = 71329/11 + q. Find the common denominator of -7/76 and b.
836
Let y(t) = -3*t**2 + 7*t - 5. Let u be y(5). Let n = 193/5 + -1336/35. Calculate the common denominator of 6/(-30) - (-11)/u and n.
63
Let c = 26 + 29. Let s = c + -39. Suppose 0*x - 2*x = -18. Calculate the least common multiple of s and x.
144
Let j be 360/(-48)*(-2)/3. Suppose -2*h = o - 2*o, 11 = j*h + 3*o. Calculate the smallest common multiple of h and 7.
7
Let a be (1/(-3))/(14/(-126)). Calculate the common denominator of -41/8 and ((-129)/63)/((-1)/a).
56
Let k(g) = g**2 + 7*g + 3. Let a = 5 - 5. Suppose -4*d + 24 = -a*d. What is the smallest common multiple of d and k(-7)?
6
Let g = 17 - 10. Let y(p) = -p**3 - 12*p**2 + 12*p - 9. Let s be y(-13). Suppose -s*f + 9 = -3. Calculate the least common multiple of g and f.
21
Let w be 2/4 + 63/(-14). What is the common denominator of (10/(-6))/(8/26) and w/(-28) + (-46)/(-168)?
12
Let v be (-278)/(-7) + (-4)/(-14). Suppose 4*i + i = v. Calculate the smallest common multiple of i and -3 + (-5)/((-10)/18).
24
Suppose 2*z + 2*m = -3*z - 24, z = 2*m. Calculate the common denominator of 77/4 and (-213)/2*(6 + z)/(-36).
12
What is the lowest common multiple of 12/16 - (3 - 63/12) and 9?
9
What is the common denominator of 101/30 and 1053/2484*(-6)/27?
690
Let c(l) = -l**3 + 4*l**2 + 5*l - 7. Let i be c(5). Let w = i - -13. Let y(u) = u**2 + 13*u + 8. What is the lowest common multiple of y(-13) and w?
24
Let a = -3 - 0. Let q(g) = 2*g**2 - 2*g + 4. Calculate the lowest common multiple of 4 and q(a).
28
Let r = 380 - 132. What is the lowest common multiple of r and 7?
1736
Let h(b) = 4*b**3 - 21*b**2 + 69*b. What is the lowest common multiple of h(3) and 378?
378
Let c(w) = w**2 + 7*w - 1. Let s be c(-6). Let r = 5 - s. What is the least common multiple of r and (6/15)/((-6)/(-90))?
12
Suppose -3 - 285 = -k. Calculate the smallest common multiple of k and 36.
288
Suppose 4*n + 29 - 9 = 3*l, -2*n + 16 = 5*l. Suppose 2*b - l*b = 0. Suppose b*r + 8 = 2*r. Calculate the lowest common multiple of 2 and r.
4
Let v = 48 - 24. Let p(c) = c**2 + 13*c - 8. Calculate the least common multiple of p(-14) and v.
24
What is the common denominator of ((-2)/(-44))/((-2)/16) and 565/60 + (-4)/16?
66
Calculate the common denominator of -91/24 and (-4 - -1)*((-657)/(-162) + -9).
24
Let f(o) = -o + 20. Let q be f(18). Calculate the common denominator of (1/2)/((-14)/92) and (380/132)/(-5)*(1 + q).
77
What is the common denominator of (680/(-70) - 0) + 2/1 and (11/(-30))/(1/27)?
70
Suppose 0 = -2*q - y + 16, 3 = 4*q - 5*y - 1. Suppose -3*h - 3 + q = 0. Find the common denominator of (-54)/(-21) - (h - 3) and -83/6.
42
Let d = -6 + 0. Let v = 0 - d. Suppose -2*c = -c - 388 + 377. What is the smallest common multiple of c and v?
66
Let g be (-102)/9*(-4 + -5). Calculate the common denominator of (g/40)/(9/21) and 103/20.
20
Find the common denominator of 190/(-16200) - -3*1/15 and -23/33.
3564
Let s(f) = f**3 + 6*f**2 - 3*f - 38. What is the lowest common multiple of s(-5) and (-4)/10 + 156/15?
10
Let z(l) = 2*l**3 - 26*l**2 + 13*l - 21. What is the smallest common multiple of z(13) and 6?
444
Calculate the common denominator of 57/4 and 4 + (-3)/((-264)/(-412)).
44
What is the common denominator of 133/624 and 1020/(-528) + -12 + 2/11?
624
Calculate the lowest common multiple of 4/(-8)*(-31 + -1) and (-3 + -2 + 1)/((-4)/18).
144
Let r(h) = -6*h**3 - 49*h**2 - 10*h - 6. What is the lowest common multiple of 209 and r(-8)?
2090
Let f(o) = -o. Let y(n) = -49*n + 8. Let w(u) = 2*f(u) - y(u). Let r be w(-6). What is the smallest common multiple of 1/5 + r/(-50) and 8?
24
Let u = 13611/4 - 3382. Find the common denominator of u and -107/6.
12
What is the common denominator of (-2)/66 + 3 + (-90)/27 and -19/88?
88
Calculate the common denominator of 71/136 and (17003/210)/(-7) + 3/(-9).
680
Suppose 2*v - 4 = 4. Suppose -38 = -m + v*i, -2*m = -3*m + i + 23. Suppose -2*s + 5*s - m = 0. What is the smallest common multiple of 6 and s?
6
Suppose -5*h + 5*y = 2*y - 269, 3*h = -5*y + 175. Let t = h - 40. What is the smallest common multiple of t and 15?
15
What is the common denominator of (-1 + (-118)/16)/((-2016)/(-1152)) and -13/18?
126
Let n = 172119/16 + -10761. What is the common denominator of 99/80 and n?
80
Suppose o - a = 7049, -4*o - o + 35252 = 2*a. Let k = 1515757/215 - o. Let w = 19121/430 + k. Calculate the common denominator of -8/5 and w.
10
Let l be 6*((-1)/(-3) + 0). Let n(m) = -5*m**2 - 29*m - 12. What is the lowest common multiple of n(-5) and 7 - (0 + (l - 0))?
40
Suppose 5*a - 4*a = -5*s - 140, 5*a + 160 = -5*s. Let r = s - -29. What is the lowest common multiple of r and 92?
92
Let x be (-37403)/(-13)*(-40)/24. Let z = x - -4795. Find the common denominator of z and -1/18.
234
Find the common denominator of (-14)/2 - -5 - (-103)/(-18) and -163/126.
126
Suppose -3*p + 57 =