8.
8
Let x = 14 - 12. What is the common denominator of -50/11 and -2 + (-44)/26 + x?
143
Let t(d) = -4*d. Let p be t(5). Let w = -11 - p. What is the least common multiple of w and 7?
63
Let v = 843 + -1639/2. Let o = 6149/4960 + -42/155. Find the common denominator of o and v.
32
Suppose -12 + 52 = 4*u. Suppose -4*x = -4*i + 20, 2*i + 3*x = -x + 10. Calculate the least common multiple of i and u.
10
Let z(y) = 5*y**2 + 11*y + 14. Let b(g) = -3*g**2 - 7*g - 9. Let c(o) = 8*b(o) + 5*z(o). Calculate the lowest common multiple of c(3) and 22.
44
Let f = 518/11 + -6671/176. Let n = f - 1043/80. What is the common denominator of n and (-1 + 66/4)/(-11)?
220
Calculate the lowest common multiple of 16 and (-1 - -4 - -51) + (-8)/4.
208
Calculate the lowest common multiple of ((-1)/(-3))/(17/204) and 7.
28
Suppose -z + 2 = z. Find the common denominator of 0 + z/((-30)/(-117)) and 87/28.
140
Let v = 1719/1498 - 1/214. What is the common denominator of v and -25/9?
63
Calculate the common denominator of (-159)/(-3)*8/(240/(-5)) and (-202)/10*10/12.
6
Calculate the least common multiple of 60 and 7/((-7)/(-12)) + -2.
60
Calculate the common denominator of 27 and -3 + 0 + (-84)/(-10).
5
Find the common denominator of -58/5 and (-15)/(-5) + (-278)/94.
235
Let r = 118 - 117. Calculate the lowest common multiple of 1 and r.
1
Let l = -1000 + 18960/19. Find the common denominator of 95/4 and l.
76
Let n be (8/6)/((-36)/(-4146)). Let q = n - 887/6. Calculate the common denominator of -103/12 and q.
36
Suppose 3*d - 3*p = 30, 5*p = -17 - 3. Calculate the lowest common multiple of d and 6.
6
Suppose -5*g = -0*v + 4*v - 44, 4*g + v = 33. Let a = g - 11. Let t(u) = u**2 - 2*u - 3. Calculate the smallest common multiple of 22 and t(a).
132
Suppose k = -2*y + 1, k + 2*k = -y + 18. Suppose -3*b = -2*x + 20, -23 = -3*b + k*b + x. Calculate the smallest common multiple of 10 and 46/7 + b/(-14).
70
Calculate the lowest common multiple of (-33)/(-3) + (-1 - 2) and 11.
88
Let b(r) be the first derivative of -2*r**3 - r**2/2 + 2*r - 3. Let j be b(2). Let w = -2 - j. What is the smallest common multiple of w and 4?
44
Calculate the common denominator of 63/20 and ((-1197)/(-20))/7 + -3.
20
Let i(m) = -m + 11. Let b(h) = h**3 - 2*h**2 + 3*h - 2. What is the smallest common multiple of b(2) and i(7)?
4
Let d = 26/15 + -31/30. Let q = 5163 + -51569/10. Find the common denominator of d and q.
10
Let v = 3738271093/234 - 15975547. Let j = v - -854/39. Calculate the common denominator of (-2)/(((-64)/(-166))/(-1)) and j.
144
Let j(q) be the first derivative of 4*q**3/3 - 3*q**2/2 - q - 3. Let c be j(-2). Suppose 0*b = 3*b - c. Calculate the smallest common multiple of 7 and b.
7
Let a = 1 - 0. Calculate the common denominator of (1 - 166/20)/a and (-1)/8*(2 + 164).
20
Suppose -2*q = 0, q - 1448 = -2*x - 0*x. Find the common denominator of 43/16 and 1/3 - x/(-168).
112
Let x be ((-44)/8 + 3)*38. What is the least common multiple of 8 and (-12)/(-28) - x/7?
56
Calculate the common denominator of (9/84)/(5/(-95)) + -2 and -25/14.
28
Suppose 3*i - i - 2314 = 0. Let c = -16139/14 + i. What is the common denominator of ((-26)/(-2))/(-8 + 0) and c?
56
Let m be (-18)/(-30) - (-451)/(-10). Let x = m - -441/8. Calculate the common denominator of x and (88/(-30))/((-1)/3).
40
Suppose 5*o - 8 = 227. What is the common denominator of (-3 + o/16)*-46 and 366/(-8)*6/63?
56
Suppose 14*g = -7*g + 42. What is the lowest common multiple of g and 14?
14
Let w be ((-33)/(-4))/(9/24). Calculate the common denominator of (-355)/90 - 3/6 and (4/3)/(w/48).
99
What is the least common multiple of (-10)/35 + (-704)/(-14) and 6?
150
Suppose 12*k = 14*k - 30. Calculate the lowest common multiple of k and 18.
90
Suppose 2*p - 12 - 18 = 0. Find the common denominator of -31/4 and (2/(-4)*-273)/p.
20
Let w(g) = g**2 - 4*g - 2. Let n be w(5). Suppose n*c - 3 = -5*l, l = -2*c + 6*l + 27. What is the least common multiple of c and 9?
18
Let l be (-183)/6 + (1 - 0). Let f(o) = -30*o**2 + o. Let x be f(-1). Let z = l - x. Calculate the common denominator of z and 76/9.
18
Let f = 13617 + -245251/18. Find the common denominator of 44/27 and f.
54
Let l = -25 + 47. What is the smallest common multiple of 42 and l?
462
Let s = -112 - 557. What is the common denominator of 91/4 and (-3)/12 - s/(-36)?
12
Calculate the common denominator of (-345)/86 - -6*3/6 and -15/14.
602
Suppose 2*d - 2*w - 4 = 0, -8*d - 5*w + 8 = -4*d. Suppose d*k - 7 = -27. Calculate the common denominator of ((-19)/(-3))/(k/45) and 123/20.
20
Let g = -100/11 - 316/33. Calculate the common denominator of 77/12 and g.
12
Let t = 81715/22 - 3715. Find the common denominator of t and (5/(-10))/(20/(-38)).
220
Let o = -480/13 + 15293/442. What is the common denominator of -43/12 and o?
204
Let t be 10/4*2/5. Suppose -l = 2*l + 603. Find the common denominator of -139/12 and l/(-24) - (2 - t).
24
Suppose -7*t + 2*t - 240 = 0. Suppose -3*b = 4*y + 177, y + 41 = -8*b + 4*b. Calculate the common denominator of y and t.
1
Let x = 3 - 2. Let s be ((-18)/(-5))/(6/40). What is the common denominator of 27/10 and x/3 + (-311)/s?
40
Suppose -12 = 4*w, -5*z = -4*z - 4*w - 32. Suppose -17 + 2 = -5*q. Suppose -2*x + 2 + 0 = 0, 41 = q*a - x. What is the least common multiple of a and z?
140
Let v(w) = -13*w - 1. Let p be v(-1). What is the lowest common multiple of (p/(-10))/(6/(-40)) and 9?
72
Let t be ((-344)/60)/((-20)/6). Let c = t - -19/50. Let m = -20953/6 + 3508. Find the common denominator of c and m.
30
Let l(j) = 55*j + 1. Let u be l(-1). Calculate the lowest common multiple of 5 and u/(-8) - 9/12.
30
Let w = 102205/18 - 5676. Calculate the common denominator of w and 83/16.
144
Let c = -78 + 96. What is the least common multiple of 21 and c?
126
Let g be 1 - (-3 + 0 + -14). What is the common denominator of 73/6 and g/(-8)*(-6)/9?
6
Suppose 4*v + 100 = 4*n, 0 = 2*v - 3 + 5. What is the lowest common multiple of 16 and n?
48
Let i(s) = s**3 - 3*s - 2. Let x be i(3). Let q = 23 - x. Calculate the smallest common multiple of 5 and q.
35
Suppose -5*b - 5 = -0*b. Let t be b - 0 - (5 - 2). Let h = t - -6. Calculate the lowest common multiple of h and 7.
14
Let m = -10 + 9. Find the common denominator of m/(-2)*220/18 and -3/10.
90
Suppose -2*p + 12 = -c + 34, -4*p - 74 = -3*c. What is the smallest common multiple of c and 12?
60
Suppose -4*l - 41 = 2*a - 7, 4*a = l - 68. Let y = a - 33. Let g = 3555 - 24932/7. Calculate the common denominator of y and g.
7
Find the common denominator of 62/15 and 41/21 + (-14)/(8 + -1).
105
Calculate the common denominator of (-3)/(-4) + (-415)/180 and -37/25.
225
Let d = -1435 + 15754/11. Calculate the common denominator of d and -45.
11
Let g = 22909/5628 - -6/469. Calculate the common denominator of g and 97/20.
60
Let v(m) = 5*m**2 - 4*m + 5. Let x be v(-4). Find the common denominator of -11/8 and 9/(-12)*x/6.
8
Let f(q) = q**3 + 1. Let y be f(2). Let b be y/6*4/3. Suppose -8 = 2*d + 2*z, -5*d - 2*z - 8 = -b*d. Calculate the common denominator of d and 51/5.
5
Let t = 3 - 5. Calculate the smallest common multiple of 22 and 0/t - (-9 - 1).
110
Calculate the lowest common multiple of 20 and -1 + (-13)/(2*(-3)/6).
60
Suppose 7*s = 2*s + 110. Suppose -s*y + 40 = -18*y. Calculate the least common multiple of y and 22.
110
Let j = -1435139941/340 + 4221003. Let n = 53/85 - j. Calculate the common denominator of -131/6 and n.
60
Let i(m) = -m**3 - 9*m**2 - 7*m + 13. Let r be i(-9). What is the common denominator of r/16 - 2/4 and 0 + 381/66 - 2?
44
Calculate the lowest common multiple of 11 and 3/(-15) + (-153)/(-15).
110
Find the common denominator of (-1)/2*-3 - (38 - 2) and 127/42.
42
Let k = -8321/120 - -922/15. Calculate the common denominator of -44/17 and k.
136
What is the lowest common multiple of 8 and (1 - -1 - 0) + (73 - 13)?
248
Let l = -4 + 9. Suppose -l*y + n = -73, 2*y = 4*y + 4*n - 16. Calculate the least common multiple of y and 1 + -1 + 23 + -1.
154
Let x = -1090/3 + 356. Calculate the common denominator of 71/24 and x.
24
Suppose 0*v + 28 = -4*v. What is the common denominator of 18*(-3 + 55/20) and v?
2
Let h = -135 - -150. What is the least common multiple of 39 and h?
195
Suppose -4*w + 5*p + 100 = 0, 