8.
8
Find the common denominator of -71/2 and (332/(-8))/((-6)/(-3)).
4
Let a(r) = -r**2 - 2. Let w be a(3). Let p = w + 23. Calculate the common denominator of 91/8 and 20/(-11)*(-15)/p.
88
Suppose 5*j = -3*o + 98, -3*o = -o + 8. What is the least common multiple of 16 and j?
176
Let h = -5 + 6. Let j be h/(-4) - 78/8. What is the common denominator of 35/18 and 3/6*49/j?
180
Suppose 0 = -5*b + 25, 4*v + 5*b = 6*v + 43. Find the common denominator of ((-302)/8)/(v/(-6)) and -89/20.
60
Let g(z) = z**2 + 2*z - 9. Calculate the lowest common multiple of 8 and g(3).
24
Let u be ((-8892)/1474)/(-3) - 2. Let m = u + 71441/4422. Calculate the common denominator of m and -3/10.
30
Let x = 22653/604 - 3/604. Calculate the common denominator of x and 0/(-6) + (-18)/16.
8
Let o(y) = -y**2 + y - 1. Let b be o(1). Let j be 0/((-2 - 0)*b). Let d = j + 8. Calculate the lowest common multiple of 8 and d.
8
Let v be -1 + -27 - (-6)/(-2). Suppose 0 = -p - 0*p - 21. Let f = p - v. Calculate the least common multiple of 22 and f.
110
Let y = -19 - -25. Calculate the smallest common multiple of 3 and y.
6
Let h(s) = -3*s**2 - 2*s - 4. Let r be h(4). Suppose -4*d + 5*d = 4*g + 9, 5*g = 5*d + 15. Calculate the common denominator of -77/4 and 2/d - r/112.
4
Let b = -55 + 67. What is the smallest common multiple of b and 4?
12
Let i = 144 + -88. Suppose -5*b + 1 - 21 = 0, 0 = -3*j - b + i. What is the lowest common multiple of 20 and j?
20
Find the common denominator of -119/18 and ((-12)/(-9) - -1)*(-9)/(-8).
72
Let o = -9/242 - 6641/3630. Find the common denominator of o and -31/30.
30
Suppose -3 = d - 21. Suppose 0 = 5*w - 3*f - 30, 3*w - f = 2*f + d. Let m = 8 - w. Calculate the lowest common multiple of m and 4.
4
Suppose -2*t = -3*z + t + 57, -t + 9 = z. What is the least common multiple of 22 and z?
154
Suppose 0 = -2*s - s + 12. Let h be 3399/s*1*2. Let b = h - 20501/12. Find the common denominator of 113/20 and b.
60
Suppose 3*v = -3*r + 20 - 2, 0 = -2*v. Calculate the smallest common multiple of r and 3.
6
Calculate the common denominator of (-4)/(-7) + 1044/966 and 48.
23
Suppose -2*g - 2 = -0. Calculate the common denominator of (g - 54)*6/(-48) and -121/10.
40
Let i(d) = d + 4. Let s be i(0). Suppose 0 = -s*z + 6*z - 20. Suppose -g = 2*g - 2*v - 6, -5*g + v + z = 0. What is the least common multiple of 8 and g?
8
Suppose 4 = -4*n + 12. Suppose m = -2*m + 9. Suppose -5*l + m = -n. What is the lowest common multiple of 1 and l?
1
Let v be 26302*(3/(-6660))/(-1). Let c = v - -28/111. What is the common denominator of 18/5 and c?
10
Let k = -1493/2 + 723. Find the common denominator of k and (5/14)/((-36)/210).
12
Let f be ((-1080)/(-16))/(2/(-4)). What is the common denominator of 14/3 and (-6)/8 + f/100?
30
What is the lowest common multiple of (56/(-6))/(8/(-12)) and 14?
14
Let o be 157996252479823/(-16379)*10/4. Let v = o + 24115674415. Let t = v + 18/1489. Calculate the common denominator of t and 83/18.
198
Let o(m) = -m**3 + 10*m**2 - 8*m + 7. Let p(b) = -13*b + 3. Let j be p(-3). Suppose -3*z - 6 = -j. What is the lowest common multiple of z and o(9)?
48
Suppose -1030 = p + 233. Let r = 15253/12 + p. Calculate the common denominator of -107/18 and r.
36
Suppose 0 = -2*t - 4*a + 72, -t - 3*a = -2*t + 31. Suppose 0 = n + 3*u - t, 3*n + 41 = -3*u + 119. What is the lowest common multiple of n and 14?
154
Let r(k) = 2*k**3 + 2*k**2 - k. Let y be r(1). Let o = y + -2. Suppose -4*z = -3*g + 34, g = 6*g - 3*z - 53. What is the least common multiple of g and o?
10
Let k(q) = 5*q + 2. Let c(p) = 2*p + 1. Let i(v) = 9*c(v) - 4*k(v). What is the smallest common multiple of 10 and i(-1)?
30
What is the common denominator of (-5)/(-20) + 15/21 and 15/8?
56
Suppose 0*z - z = -22. Let d = -4 + 24. Let q = 28 - d. Calculate the smallest common multiple of q and z.
88
Let h = 6 - 5. Suppose -4*w = 2*l - 10, -w - 10 = -5*l + 4*w. Calculate the smallest common multiple of 4 and (h + l)*(4 - 1).
12
Let h(x) = x**3 + 5*x**2 + 4*x. Let j(s) = -s - 14. Let i be j(-11). What is the smallest common multiple of h(i) and 12?
12
Suppose 2*k = k + 2. Calculate the least common multiple of 16 and k.
16
Let w = -24/96229 + -33175509/94208191. Let r = w - 1/89. Find the common denominator of 3/1*97/(-12) and r.
44
Suppose -m + 9 = 2*r, 3*r + 3*m + 0*m = 21. Suppose 0*c + 2 = r*c. Let h(o) = -o**2 - 2*o + 4. What is the least common multiple of h(-3) and c?
1
Let l = -20 + 10. Suppose 25 = 2*o + 3*o. Calculate the smallest common multiple of (3 + 7)*(-8)/l and o.
40
Suppose -2*k + 5*m - 85 = 0, -3*m = 2*k + 2*m + 55. Let w = 26 - k. What is the common denominator of ((-1)/(-10))/(1/w) and -11/9?
90
Calculate the common denominator of (4/(-24))/((-14)/(-18)) and 69/14.
14
Suppose -2*y - 3 = 5*i - 9, y - 5*i + 12 = 0. What is the lowest common multiple of (-1 - (-2)/y) + 10 and 25/10*(-1 + 5)?
40
Calculate the common denominator of 83/4 and (42 - 40)/(3/(129/20)).
20
Let s = -3355/42 + 705/7. Find the common denominator of 42/5 and s.
30
Suppose 2*b - 6 - 2 = 0. What is the least common multiple of b and 6?
12
Suppose -k + y = 4*k - 14, 0 = -5*k - 4*y + 19. Let r = -8 - -10. Let o = k - r. What is the lowest common multiple of o and 7?
7
Let k = -17 - -33. Let i be (12/16)/(2/k). Suppose 5*c - i = 4*c. What is the lowest common multiple of 12 and c?
12
Let y(b) = -4*b**3 - 3*b**2 - 3*b. Let x(k) = 4*k**2 + 3*k + 2. What is the lowest common multiple of y(-2) and x(-2)?
156
Suppose -c + 5 - 1 = 0. Suppose -c = -4*p + 4. Suppose -2*g = h - 37, p*h = -0*g + 3*g - 52. Calculate the least common multiple of 4 and g.
36
Suppose 0 = -0*l + 2*l - 3*d - 308, -2*d = l - 161. Calculate the common denominator of 13/12 and (-1)/(-4) + l/(-12).
12
Let x = 0 + 5. Let o = 36 - 26. Calculate the least common multiple of o and x.
10
Let m(h) = -h**3 + 6*h**2. Let s be m(6). Let x = 1 + s. Find the common denominator of x - 2 - 23/20 and 89/20.
20
Suppose 0 = -4*w + 4 + 4. Suppose -5*v - 180 = -2*v. Find the common denominator of (-1)/((v/249)/w) and -17/5.
10
Let z(c) = c**3 - c**2 + 2*c + 6. What is the lowest common multiple of z(3) and 42?
210
Let a = 1904/5 + -23023/60. What is the common denominator of -31/20 and a?
60
Let p be (-2 + 1)/(-8 - -7). What is the common denominator of p/(12/(-169)) + 3 and 39/10?
60
Let t be (63303/(-24))/((-330)/8). Let d = -1013/15 + t. Calculate the common denominator of -35/16 and d.
176
Let c = -11 + 12. Suppose 0*m + 4*m - 28 = 0. What is the lowest common multiple of c and m?
7
Calculate the smallest common multiple of 7 and 4 - (-23)/(2 + -2 - -1).
189
Let c be (0 + -1)*(0 + 1). Calculate the common denominator of ((-14)/16 - c)*41 and 2/(7/(-8) + 1).
8
Let n = -2/47 - -803/94. Find the common denominator of n and (18/16)/((-5)/30).
4
Let c = -3 + -1. Let b = c + 6. Suppose 22 = -3*g + 70. Calculate the lowest common multiple of b and g.
16
Let k(n) = -n**2 + 8*n + 13. What is the smallest common multiple of 22 and k(7)?
220
Suppose -4*z = 3*s - 36, 0*z + 4*s = -3*z + 27. Suppose u - z = -4. What is the least common multiple of u and 4?
20
Let n = 5416 - 43261/8. What is the common denominator of (-228)/40*20/(-72) and n?
24
Let p = 12 - 9. Let n(m) = 2*m - 1. Calculate the least common multiple of n(2) and p.
3
Let g = -13 - -16. What is the least common multiple of 6 and g?
6
Find the common denominator of -114*4/128 + 2 + -1 and 83/22.
176
Suppose 8*v = -5*k + 5*v + 242, 244 = 5*k + v. Let a = k - 33. Find the common denominator of 75/8 and a/(-20)*19/2.
40
Suppose 0 = t - y - 1 + 4, -5*t = -y - 1. Calculate the common denominator of (t + -12)*6/14 and 27/8.
56
Let t(c) = -36*c**2 + 3*c. Let g be t(2). Calculate the common denominator of g/(-12) + (-1)/5 and -57/10.
10
Let t = -18529/6 - -3100. Calculate the common denominator of t and 127/12.
12
Suppose 2 = s - 2. Let a(y) = y**3 - 10*y**2 - 9*y - 10. Calculate the least common multiple of a(11) and s.
12
Let r(s) = -s**3 + 11*s**2 - 9*s - 1. Let i(t) = -4*t - 2. Let v be i(-3). Let b be r(v). Calculate the least common multiple of b/5*(-10)/(-3) and 8.
24
Let u(m) = 8*m**2 + 4*m - 6. Let s be u(4). Suppose 0 = 4*n + s - 334. Find the common denominator of 91/10 and n.
10
Let y = 2 - -1. Let a be (-2)