Let a = f - 198. Let r = -54465/8 + 6818. Calculate the common denominator of a and r.
8
Let c(b) = b**3 + 10*b**2 + 13*b + 12. Calculate the smallest common multiple of c(-8) and 44.
396
Find the common denominator of ((-3)/(-12))/(22/40) and -56/9.
99
Suppose -2 = c - 4*u, -6 = 4*c - 4*u + 2. Let r be c/(-8) - (-2)/(-8). Suppose a = 5*n - r*n + 1, -2*n = -2. Calculate the least common multiple of a and 7.
42
Let h = -2/1299 + -66241/5196. What is the common denominator of 39/4 and h?
4
Let s(p) = 50*p + 1. Let d be s(1). Let q = d + -31. Find the common denominator of -33/10 and (-77)/(-12)*q/14.
30
Let z = 23 - 23. Let c = 1 + z. Calculate the lowest common multiple of 10 and c.
10
Let j = 3/46673 - 184405029/93346. Let p = -2018 - j. What is the common denominator of 2/(-8) - 11/(-8) and p?
8
Suppose 2*r - 5*r = s - 6, -4*r + s + 8 = 0. Let n = 10 - r. What is the smallest common multiple of 4 and n?
8
Let q be (-1)/((-5)/(-2) - 3). Find the common denominator of 69/10 and 1 + 380/(-8) + q.
10
Suppose 3*x + 501 = -3*j, 4*j = 2*x - 3*x - 161. What is the common denominator of -17/10 and -2 + 4/(-72)*x?
90
Suppose 5*x = -3*d + 2*d + 36, -4*x = -4*d - 24. What is the least common multiple of x and 6?
42
Let x(a) = 4*a**3 + a**2 - 2*a + 1. Let d be x(1). Suppose -9 = s + d*h - 0, 5*s + 5*h = 15. Calculate the lowest common multiple of s and 3.
21
Let a = -1519/8 + 191. Calculate the common denominator of a and 61/18.
72
Let s = -19 - -57. Find the common denominator of s and 20/7.
7
Suppose -2*t + 3*t = 3. Calculate the least common multiple of t and 46/8 + 3/(-4).
15
Let b be (-2)/6 - 41633/(-105). Let l = -4386/7 + b. Let h = -8911/40 - l. Calculate the common denominator of h and 65/2.
8
Suppose -3*y - 2*y = -10. Suppose p = -p - b + 5, 3*p - 4*b - y = 0. Calculate the least common multiple of 16 and (-1)/2 - (-29)/p.
112
Suppose -4*n - 332 = -4*x, 2*n = x - 71 - 15. Let a be 190/45 - (-4)/(-18). Suppose 0 = -a*z - 0*z + x. What is the least common multiple of 10 and z?
20
What is the smallest common multiple of 8 and (16/(-6))/(6/(-36))?
16
Let a = 55/129 - 3421/258. What is the common denominator of a and 1521/162 + -1*4?
18
Let h(k) = 12*k + 9. Let i be h(8). What is the smallest common multiple of i/10*8/6 and 6?
42
Suppose 3*m - 6 = -0*m. Suppose -3*y + 5*y + 68 = 0. Calculate the common denominator of y and (m + 142/16)*2.
4
Let s(x) = -x**3 - 5*x**2 - 6*x + 2. Let n be s(-5). Suppose 2*t + 2*t - n = 0. What is the lowest common multiple of 9 and t?
72
Suppose -4*g + 3*r + 16 = r, -5*g = -5*r - 25. What is the least common multiple of g and 6?
6
Let r = 83173/20 - 4155. What is the common denominator of -113/6 and r?
60
Let p = -74065/4884 + -3/1628. Let f be 10/(-25)*(-14 + -1). What is the common denominator of p and ((-3)/f)/((-3)/(-32))?
6
Suppose 84 = -4*r - 3*v, -4*v = -5*r - 88 - 17. What is the smallest common multiple of 1 and ((-7)/r)/((-2)/(-54))?
9
Let r be (-112)/6*(-6)/4. Suppose -3*j + 2*y = j - 8, 0 = -5*j + 5*y + 10. What is the least common multiple of (-68)/(-6) - r/(-42) and j?
12
Let o = 10537 - 147443/14. What is the common denominator of 93/14 and o?
14
Let g be -2 + 1 + 4 + 2. Suppose 0*d + g*r - 1 = -3*d, r - 7 = -4*d. What is the smallest common multiple of d and 6?
6
Suppose -36 = -2*b - b. Let q = 17 - 4. Suppose -4*d + q + 75 = 0. Calculate the smallest common multiple of b and d.
132
Let b = 42 + -76. Suppose 64 + 44 = 2*v. Let n = v + b. What is the smallest common multiple of n and 6?
60
Suppose -3*c + 57 = -5*m + 2*m, -44 = -2*c + 4*m. What is the lowest common multiple of c and 18?
144
Let q(p) = 1 - 2*p + 11*p**2 + 20*p**2 - 2. Let h be q(2). What is the common denominator of 25/6 and h/4*(-4)/6?
6
Let b be (-8)/3*(-15)/10. Let m be 830/35 + b/14. Let z = m - 17. Calculate the smallest common multiple of z and 6.
42
Suppose 8751 + 4881 = -4*d. Let r = d - -23909/7. What is the common denominator of -23/10 and r?
70
Let x = -1 + -2. Find the common denominator of 4/7 and (-146)/4 - (x + 1).
14
Suppose -5*v + 25 = 3*g, 5 = -0*v - 5*v + 3*g. What is the smallest common multiple of ((-6)/(-9))/(v/24) and 10?
40
Let z = -11037/4 + 2739. What is the common denominator of -55/8 and z?
8
Suppose -7*i + 9*i - 6 = 0. What is the smallest common multiple of i and 5?
15
What is the common denominator of 52/9 and -4 + ((-45)/8 - -3)?
72
Let c(o) = 3*o**2 + 6*o - 11. Let i be c(-9). Let w = -2829/16 + i. Find the common denominator of w and -95/6.
48
Let k(z) = z + 3. What is the least common multiple of k(7) and 8?
40
Suppose 3*j - 66 = -0*j. Suppose 2*v - v - a - 46 = 0, 5*a - 250 = -5*v. Suppose -v + 8 = -4*q. What is the smallest common multiple of q and j?
110
Let b be (-18055)/(-25) + (-1)/(-1). Let p = b - 7293/10. Let d = -1101 + 9923/9. What is the common denominator of d and p?
90
Let h(g) be the third derivative of g**6/120 - g**5/10 - g**4/3 + 3*g**3/2 - g**2. Calculate the least common multiple of 12 and h(7).
12
Let v(i) = -i**2 - 6*i + 11. What is the smallest common multiple of 12 and v(-7)?
12
Let o be 4 + -6 + 6029/(-5). Let w = o + 1218. Find the common denominator of w and -11/3.
15
Let z be ((-1)/(-2)*0)/2. Suppose h - 4 = -h - 5*r, z = 2*h + r - 4. Calculate the least common multiple of h and 22.
22
Let u be (6 - 4)*816/(-2). Let o be u/(-27) + (-4)/18. Suppose 4*a - 34 = o. What is the least common multiple of 6 and a?
48
Let l(k) = k**2 - k. Calculate the least common multiple of l(-2) and 4.
12
Let m be 2/(-4) - (-3)/(-2). Find the common denominator of m - (1 - (-49)/(-8)) and 3 + 0 - (-516)/96.
8
Let p(j) = j**2 - 23*j - 46. What is the least common multiple of 28 and p(26)?
224
What is the common denominator of 48/5 and (-1)/(2/(56/10))?
5
Suppose -2*g - r + 5*r = -24, -r = -5*g + 87. Calculate the lowest common multiple of (4/10)/((-3)/(-75)) and g.
90
What is the common denominator of ((-2)/16)/(4/404) and -29/4?
8
Suppose -121 = -11*w + 242. Calculate the lowest common multiple of w and 33.
33
Let o be (-2 + 3)*0 + 8. Suppose 8*h - 4*h - o = 0. Suppose -4*m - 4 + 32 = h*x, -4*m = -3*x + 22. Calculate the lowest common multiple of 8 and x.
40
Let c = 147 - 102. Suppose -2*a - c = -5*a. Calculate the common denominator of 341/231 + 4/6 and a.
7
Let f(y) = -2*y**2 - 6*y - 1. Let w be f(-5). Calculate the common denominator of 89/20 and 6/w + (-2540)/(-168).
60
Let r(v) = -6*v. Let k be r(2). Let o(f) = -f**3 - 13*f**2 - 15*f - 14. What is the smallest common multiple of o(k) and 20?
220
Let k = 0 - 3. What is the lowest common multiple of k/3 - (-18 + 1) and 20?
80
Calculate the lowest common multiple of 30 and 8/(-14)*(-126)/36.
30
Suppose -2*y = 5*j - 81, -5*y - 4*j - j + 165 = 0. Let d(l) = l**2. Calculate the least common multiple of (-4)/(-12) + y/6 and d(-1).
5
Let m(d) = -d**2 - 7*d - 4. Let s be m(-6). Suppose 0 = -b + s - 0. What is the smallest common multiple of 4 and (-7)/(-5) - b/5?
4
Let p(y) = -2*y**2 - 6*y - 2. Let b be p(-4). Let q be b + (-1 - 0 - -3). What is the common denominator of 2/q*(-92)/14 and -91/16?
112
Let v(i) = -i**2 - 10*i + 13. Suppose -o = 1 + 8. What is the lowest common multiple of v(o) and 6?
66
Suppose 2*c - 4*z - 44 = -3*c, 4*c + 5*z - 68 = 0. Calculate the smallest common multiple of 14 - (-2 - (4 + -6)) and c.
84
Let x(u) = u**3 - 6*u**2 + 5*u - 8. Let l(r) = -r**3 + 6*r**2 - 5*r + 7. Let b(d) = 3*l(d) + 2*x(d). What is the least common multiple of 11 and b(5)?
55
Suppose 9*j - 8*j = 5. Find the common denominator of 97/42 and ((-42)/20)/((-9)/j).
42
Let v = -33271/8 - -4168. Suppose 3*t - 6540 = -t. Calculate the common denominator of v and ((-2)/20)/((-18)/t).
24
Let g = 26 - 18. Calculate the lowest common multiple of g and 14.
56
Let b = 1 + 3. Calculate the smallest common multiple of 12 and b.
12
Let m = -4 + 6. Suppose -5*y + o = -22, -y + m*o + o = -10. Find the common denominator of y/((-264)/(-153)) + -1 and -49/16.
176
Let l(a) = -a + 9. What is the least common multiple of l(4) and 4?
20
Let i be (-69)/12 + (-4)/16. What is the common denominator of 67/12 and (0 + 453/i)/(-6)?
12
Let j = 176/35 - 4103/280. Let a be -1 - 651/(-72)*-2. Let b = a + 5/6. Find the common denominator of b and j.
8
Let z = 14219/12 + -1184. Find the co