8. Find the common denominator of 642/w + (0 - -2) and -57/7.
56
Let s = 15 - 5. Suppose -r = s - 18. Calculate the lowest common multiple of 1 and r.
8
Suppose 0 = -4*r + 5*r - 25. Suppose -2*o = a - r, -5*a - 59 = -4*o - 4*a. What is the smallest common multiple of 28 and o?
28
Suppose -4*q = -17 + 1. Let t = q - -7. What is the smallest common multiple of 2 and t?
22
Suppose 7*d = 2*d - 15. Let f = d - -6. Calculate the lowest common multiple of f and 5.
15
Let u = -22 - -7. Let g be (3/u)/(2/(-2495)). Let b = g + -240. What is the common denominator of -28/5 and b?
10
Suppose -k = -2*k + 5*x - 14, -x - 17 = -2*k. Let n be 0 + 0 + -19 + 1. What is the lowest common multiple of 6*3*(-3)/n and k?
33
Suppose -2 = -0*d - d. Suppose -d*g + 13 = -3. Calculate the smallest common multiple of 8 and g.
8
Let y(r) = r**2 - 4*r + 3. Let b be y(5). Suppose -4*h + 3*h + b = 0. What is the lowest common multiple of 12/18*(-1 - -7) and h?
8
Let m = -2008/9 - -1375/6. Let t = 10058 + -140915/14. What is the common denominator of t and m?
126
Let t(x) = x**3 - 9*x**2 - 10*x + 8. Calculate the lowest common multiple of t(10) and 54.
216
Let l = -6/1505 + -33056/13545. Calculate the common denominator of l and 1 + 2 + (-21)/2.
18
Let o = -1/815 - -881/652. Let b = 35/2 - 187/16. What is the common denominator of b and o?
80
Let p = 3873/4 - 987. Suppose 9*m = 4*m + 10. Find the common denominator of p and 7/20 - (m - 1).
20
Suppose 0 = t + 3 - 17. Calculate the lowest common multiple of 14 and t.
14
What is the common denominator of -11/16 and 2 + 30/28 + 4?
112
Let i be (6 - 4) + (-97)/(-315). Let g = i + 26/105. Calculate the common denominator of 5 and g.
9
Let b be -2 - (16068313320/(-8034156658) + 0). Let p = -230777132929017/12645762579692 + b. Let z = 1/1574 - p. Find the common denominator of z and -73/6.
12
Suppose -2*i + 2 + 33 = 5*c, 0 = 2*i + 10. Calculate the smallest common multiple of 1 and c.
9
Let a be (-3)/2 - (-1171205)/2. Let k = 8209279/14 - a. Let f = k + -777. Calculate the common denominator of 11/8 and f.
56
What is the lowest common multiple of (3/(-3))/(1/(-10)) and 9?
90
Find the common denominator of -57/5 and (-627)/120 - 4/(-32).
10
What is the common denominator of -143/6 and (-4)/(-11)*62/(-8)?
66
Let h(r) = -11442*r**3 + 2*r**2 - 1. Let c be h(1). Let x = c + 205865/18. Calculate the common denominator of -43/10 and x.
90
Let c = 6 - -4. Calculate the smallest common multiple of 9 and c.
90
Let z = -5 - -7. Suppose 4*h = m - 11, 2*m - 2*h - 3 - 13 = 0. Calculate the smallest common multiple of (z - 0)/(4/6) and m.
21
Let a = 3996/11 + -63353/176. Calculate the common denominator of -91/16 and a.
16
Let y = -60261/11752 + 4/1469. Let u = -1421 + 17065/12. What is the common denominator of y and u?
24
Calculate the smallest common multiple of 8 and 356/18 - 2 - 24/(-108).
72
Let h be 38 - ((-8)/(-1))/(-4). Suppose 4*x = -4*z + h, z - 4 + 12 = 2*x. Calculate the least common multiple of 8 and x.
24
Find the common denominator of 56/9 + 3/6 and -35/8.
72
Suppose 8350 = 5*t - 8410. Let a = t + -36821/11. Let v = 382/99 - a. What is the common denominator of v and -12?
9
Let t = 5/71 - 745/497. Find the common denominator of -73/2 and t.
14
Let g = 1065 - 11707/11. Let p = -15757 - -63975/4. Let x = 234 - p. Find the common denominator of x and g.
44
Calculate the least common multiple of 8 and -2 + -9*(-4)/4.
56
Find the common denominator of 9/(-12)*(-292)/(-18) and -13/6.
6
Let y = 2520575071/570 + -4421851. Let p = y + -5089/30. Let f = -7907/152 + p. Calculate the common denominator of 73/14 and f.
56
Suppose -5*n + 3*j + 4 = -119, 47 = n + 5*j. Calculate the smallest common multiple of n and 27.
27
Let s be -1 + 76929/(-54) + 0. Let w(n) = 23*n**3 + 3*n**2 + n - 4. Let j be w(-4). Let t = s - j. Find the common denominator of 125/18 and t.
18
Let a(c) = -c**2 - 3*c - 4. Let v be a(-4). Let d(t) = t**2 + 8*t + 4. What is the smallest common multiple of d(v) and 6?
12
Suppose 3*k = -6, -i - 5*k - 6 + 4 = 0. Calculate the lowest common multiple of i and 22.
88
Let n(v) = v - 5. Let o be n(7). Suppose -3*x + w + 1 + 1 = 0, -w = 4*x + o. Find the common denominator of 113/12 and 1/((-12)/(-143)) - x.
12
Let y = -89 + 152. Suppose -5*d + 6*g + 25 = 2*g, -5 = -d + 5*g. Suppose d*j + 16 = x, -5*x - 2*j = -y + 10. Calculate the lowest common multiple of 9 and x.
99
Suppose -4*m = -22 - 18. Let d(j) = 3*j - 2*j + 7 + 3. Calculate the lowest common multiple of m and d(-7).
30
Let u(d) = d**3 + 5*d**2 - 9*d - 4. Suppose -4 = -4*t - 28. Suppose 4 = 5*x - 26. What is the least common multiple of x and u(t)?
42
Let o be (-16)/(-10) + (-6)/(-15). Let d(w) = -w**3 + 3*w**2 - 2*w + 2. Let s be d(o). Let j(v) = v**3 - 2. What is the smallest common multiple of 18 and j(s)?
18
Let v = 14759/10 - 1471. Calculate the common denominator of (-3 + 5)/(-4) - 31 and v.
10
Let q(z) = z**3 - 3*z**2 + z. Calculate the lowest common multiple of 12 and q(3).
12
Let w be (-1218808)/(-384) - 2/(-6). Let d = w + -3170. Find the common denominator of d and -5/14.
112
What is the lowest common multiple of (-1)/((0 + -1)/7) and 10 - 24/3 - (1 + -2)?
21
Let q be 2*(-1)/(-2 - -1). Suppose 4*l = 2*l - s - 5181, -3*l - 7775 = -q*s. Let p = 25957/10 + l. Calculate the common denominator of 19/2 and p.
10
Let m be (-55)/20 + (-6)/(-8). Let v = m - -11. Suppose -2*t - 3 = -21. What is the smallest common multiple of t and v?
9
Suppose -15*x + 227 = -73. Calculate the least common multiple of 32 and x.
160
Let c = -4 - -6. Find the common denominator of (-34)/40 - (-1 + 2) and c/18*267/6.
180
Let b = -9 - -19. Suppose -b = -3*r + 8. Calculate the smallest common multiple of r and 1.
6
Let f = 4 + 8. Find the common denominator of 2 - (2 + (-98)/f) and 302/(-14)*(-21)/36.
12
Let j = -1220909779 + 4325683426112/3543. Let f = 4/1181 + j. Calculate the common denominator of 87/8 and f.
24
Let o = -2963921/35656 - -665/8. Let s = -164901/17828 + o. Find the common denominator of s and -81/20.
20
Let z(c) = 2*c. Let q be z(1). Find the common denominator of 51/4 and 3 - 106/(-64)*q.
16
Let q = -205 + 339. What is the least common multiple of q and 4?
268
Let f = 1451/88 + -355957/264. Let m = -1322 - f. Let q = 2487/28 + -345/4. Find the common denominator of m and q.
42
Let m = -6 - -12. Let j = m + 12. What is the least common multiple of j and 16?
144
Let m(w) = -w + 11. Let g be m(10). Suppose 2*k = -4*x, 2*x - 1 - g = -2*k. Calculate the common denominator of -49/4 and x/(-4) + 138/16.
8
Let i = -1 + 3. Suppose -i*n - 1 = -13. Calculate the least common multiple of n and 2.
6
Let g(f) = -f**2 + 5*f - 5. Suppose -5*m + 0*d = -3*d - 45, 0 = -4*m + 2*d + 36. Let h(j) = j - 7. Calculate the lowest common multiple of g(3) and h(m).
2
Let k = 23 + -9. What is the smallest common multiple of k and 30?
210
Let r = 0 + 1. Calculate the smallest common multiple of r and 9.
9
Let h(d) = -3*d + 2 + 4*d + 2 - 5*d. Calculate the least common multiple of h(-2) and 22.
132
Let n be (-15)/(-10) - (-18)/(-4). Let q(u) = 2*u**2 + 3*u + 1. Calculate the lowest common multiple of 6 and q(n).
30
Suppose 0 = -j + 2*v - 0 - 6, -j = -v + 6. What is the common denominator of j and -36/7?
7
Suppose 49 + 161 = 6*i. What is the least common multiple of 5 and i?
35
Let r = -823626657835/2148 + 383438834. Let a = r + -5/537. Calculate the common denominator of (1/6)/((-2)/296) and a.
12
Let y(r) = -r**2 - 12*r + 10. Calculate the least common multiple of 18 and y(-10).
90
Suppose -5*v = -4*r - 66, 6*v - r - 27 = 4*v. What is the lowest common multiple of v and (-4 + 36/8)*24?
84
Let l = -603 - -4196/7. Calculate the common denominator of 35/4 and l.
28
Let v be (2242/20)/(56/(-10)). Let u = 127/8 + v. What is the common denominator of -48/5 and u?
35
Let f = -5873/4 - -1461. Calculate the common denominator of -51/10 and f.
20
Let n = -6816419/1845036 - -1/51251. What is the common denominator of n and 7/4?
36
Calculate the common denominator of 70/33*(-6)/(-4) and 0 + 94/(-18) + 0 + -1.
99
Let z = -103/20 + 10. Let y = 120449/24918 + -2/4153. Calculate the common denominator of z and y.
60
Let r = -68769/35 + 5305099/1785. Let w = -656395/357 - r. Let a = w - -2838. What is the common denominator