se 6*s = 9*s + 4*n - 224, -140 = -2*s - 5*n. Calculate the least common multiple of s and 80.
80
Suppose a = -a - 2*u - 3108, 7756 = -5*a + 2*u. Let f be 651669/(-420) - 5/(-35). Let v = a - f. Find the common denominator of v and 11/14.
140
Suppose 0 = 4*h + u + u - 22, u - 21 = -4*h. Calculate the least common multiple of (196/147)/((-10)/6 - -2) and h.
20
Let m(a) be the first derivative of -a**4/4 + 2*a**3/3 + 2*a + 5. Calculate the smallest common multiple of 18 and m(2).
18
Let m(w) = 2*w**2 + 32*w + 12. Calculate the lowest common multiple of 15 and m(-19).
630
Let b = -181/2 - -62. Calculate the common denominator of b and -53/230.
230
Let g(i) = i**3 - 5*i**2 + i + 5. Let f be g(4). Let c be (-4)/(1/(-1)) + f. Calculate the least common multiple of 6 and 90*((-22)/(-6) + c).
60
What is the common denominator of ((-129)/36)/(4/6) and (18/10)/(((-399)/(-38))/21)?
40
Let f(c) = c**3 - 14*c**2 - 14*c - 15. Let a be f(15). Suppose -17*q + 15*q + 46 = a. What is the smallest common multiple of q and 9?
207
Suppose -10 = 5*q + j, -4*q + j = -0*j - 1. What is the common denominator of 10/3 and q - (0 - (-152)/(-54))?
27
Let q = 1712 + -13719/8. Find the common denominator of 113/36 and q.
72
Let s = -7/919 - -91037/7352. What is the common denominator of 210/(-20)*3/4 and s?
8
Suppose 2*t + 45 = 5*f - 0*f, 4*t = 3*f - 13. Calculate the lowest common multiple of f and 2.
22
Suppose -14 - 8 = -2*w. Let z be (2 - 48/15)/(36/(-120)). Suppose -1 - z = -5*y. Calculate the lowest common multiple of y and w.
11
Let u = 1619261/3072984 - -4/16701. Find the common denominator of -1/20 and u.
920
Let r(u) = u**3 + 9*u**2 + 9*u + 4. Let l be r(-7). What is the common denominator of (l/12)/((-2)/(-24)) and -53/29?
29
Let q = -26614/29 - -941057/290. Let h = q - 2323. What is the common denominator of -99/8 and h?
40
Let f = -423 + 491. Calculate the lowest common multiple of f and 6.
204
Let d be (-4)/(-2) + 4/3*15. Calculate the common denominator of 2786/(-168) - (d/(-12) + 2) and -77/16.
16
Calculate the common denominator of -70/111 and 5*(-169)/(-390) - 7.
222
Let y = 907 + -880. What is the smallest common multiple of y and 81?
81
Let x be (2 - 5 - -5) + -1. Let j be (-3563)/3549 + 1/x. Let v = -6581/2535 + j. Find the common denominator of 16/5 and v.
5
Let o = -111 - 6. Calculate the common denominator of o/(-42) - -4*1 and -33/76.
532
Calculate the common denominator of 19/21 and ((-44)/(-9))/(16 + 2 + -12).
189
Let k = 3267/2 - 1583. Suppose 2*s - 5 = s, -5*s - 311 = -3*g. Find the common denominator of k and (-133)/g - (0 + 1).
16
Let h = 1/10551 + -87997/759672. Find the common denominator of h and 49/144.
432
Let i = -460443/52 - -28620131/1092. Let x = i + -17358. Find the common denominator of -77/15 and x.
105
What is the lowest common multiple of (-1 + 12)/((-10)/(-50)*5) and 42?
462
Let y(n) = -n**3 - 29*n**2 - 30*n - 53. What is the smallest common multiple of y(-28) and 60?
60
Let t = 12795204319/2193274815 - 10/2182363. Let v = -9/134 + t. Calculate the common denominator of (-27)/(-2) + -1 + 1 and v.
30
Let r = 259 + -129. What is the lowest common multiple of 221 and r?
2210
Let a(x) = x**2 + 13*x - 20. Let h be a(-15). Find the common denominator of 95/32 and h/25 - -14*(-89)/(-360).
288
Let z = -2 - -8. Let f(j) = -j + 6. Let r be f(z). Suppose -4*u + g + 131 = r, 4*u + u - 4*g = 150. What is the common denominator of u and -42/11?
11
Let r = -238753930384/1012293 - -32311650/137. Let v be (3/4)/((-22167)/24). Let g = r + v. What is the common denominator of -49/3 and g?
9
Let i be (-3)/9 + (-183)/(-9). Suppose -1 + 4 = 3*v. Let t = i - v. What is the common denominator of -25 and t?
1
Let l = -902389/97030 + 1/9703. Let a = -89 + 129. What is the common denominator of l and -2*2/a - (-24)/(-32)?
20
Suppose -14*x = -f - 13*x + 96, 480 = 5*f - x. What is the least common multiple of f and 64?
192
Let t = 3133 - 43843/14. Find the common denominator of t and 19/16.
112
Let t = 256 - 90. Let a = -98 + t. Calculate the lowest common multiple of 12 and a.
204
Let i be (-3 + 1)/((-8)/60). Suppose 3 = -2*j + i. Calculate the smallest common multiple of j and 14.
42
Let c be (-4130)/15*3/(-2). Let k = c - -222. What is the common denominator of k/(-60) + (-1)/4 and 75/8?
24
Let k(g) = -1 + 2*g - 3*g + 8*g. Let f(x) = x**3 - 8*x**2 + 3*x - 12. Calculate the lowest common multiple of f(8) and k(3).
60
Calculate the common denominator of -3 - (966/1554)/((-2)/13) and 97/20.
740
Let a = 70 - 67. Suppose a + 2 = j, -r + 2*j = 4. What is the smallest common multiple of r and 4?
12
Suppose -5 = -2*j - 1. What is the smallest common multiple of (6/(-15))/(6/(-120)) and j?
8
Let i = 35 + -59. What is the lowest common multiple of (-4)/i*(3 + 3) and 14?
14
Let k = 39579/10 + -3968. Calculate the common denominator of -83/20 and k.
20
Let l = -531967/150804 - 1/4189. Let z = -193/62 - -6005/744. Find the common denominator of l and z.
72
Suppose -3 = -2*l + 5. Suppose -4*t = -y - 6, -4*y + t = -3*t. Suppose j = l*c + 4*j - 36, -3*j - 18 = -y*c. Calculate the lowest common multiple of 13 and c.
117
Let t(i) = -4*i - 14. Let x be t(-4). Suppose 0 = -5*f - 2*o + 34, -o = -5*f - x*o + 32. Calculate the lowest common multiple of 24/10*(2 - -3) and f.
12
Suppose 0 = 3*n + 2*m - 14, 0*m - 3*m + 8 = -2*n. Let v(k) = 4*k. Let l be v(1). Suppose l*t - 3*t = 4. Calculate the least common multiple of t and n.
4
Suppose 0 = b - 5*j, -4*j + 11 = b - 7. Suppose 4*o - 22 = b. Calculate the lowest common multiple of o and 3/((-3)/(-7)) - -1.
8
Let z = -949/183 - 9/61. Find the common denominator of z and -113/14.
42
Let z(h) = h**2 - 2*h - 2. Let o be z(3). Let s = 16 - o. Suppose 2*c + p = s, -c - 2*c = p - 25. Calculate the lowest common multiple of 10 and c.
10
Suppose 0 = 2*m + 2*m - 1320. Suppose -6*y + y - 5*c = -m, -5*y = -4*c - 330. What is the common denominator of -21/16 and (y/35)/(16/60)?
112
Let l(w) be the first derivative of -w**3/6 - w**2/2 - 2*w + 2. Let n(y) be the first derivative of l(y). What is the least common multiple of n(-9) and 5?
40
Suppose w - 2*f - 106 = -3*w, 5*w - 126 = -4*f. Suppose -5*l + w = -14. Calculate the lowest common multiple of l and (-6*1/(-8))/(-17*(-12)/4896).
72
Suppose 6*k - 7*k = 9. Find the common denominator of 73/(-10) - (k + 13) and 41/24.
120
Let w = -2298 + 25257/11. Suppose -5*h + 2*b - 15 = 0, 4*b - 10 - 6 = -4*h. Calculate the common denominator of w and h/(-3) + (-1)/(54/96).
99
Let u = -4567 - -4578. Calculate the smallest common multiple of (-2)/(-5) - (-43)/5 and u.
99
Let n = -2562 + 15295/6. Find the common denominator of 1 + -3 - (-484)/(-120) and n.
30
Let n(v) be the first derivative of -v**3/3 + 5*v**2/2 + 7*v + 5. Let a(c) = c + 6. Let g be a(0). Calculate the lowest common multiple of 7 and n(g).
7
Let f(g) = 2*g**2 + 13*g + 6. Let r be f(-6). Suppose r = -9*w + 24*w - 90. What is the smallest common multiple of w and 2?
6
Let z be (-4)/(-10) + (-2)/5. Let o(v) = -5*v + 0 - 2 + z*v. Calculate the least common multiple of o(-1) and 5.
15
Let x be -4*2*15/60. Let s(j) = 133*j - 2. Let g be s(4). Calculate the common denominator of (x/(-4))/((-90)/g) and -67/9.
18
Find the common denominator of 87/10 and ((2898/(-413))/(-6))/2.
590
What is the lowest common multiple of -1*(-5 + 4 + (-7 - 2)) and 60?
60
Let a(f) = 7*f**2. Let k(c) = c**3 + 5*c**2 + 4*c + 5. Let g be k(-4). Calculate the least common multiple of 27/g + 4/(-10) and a(-1).
35
Suppose -4*t + 24 = 5*r, 5*r = t + t + 18. Let d = -55 - -52. Calculate the lowest common multiple of 12 and (-14 - 1)*r/d.
60
Let q be 12*(0 - (-1)/1). Suppose -30*l = -32*l + 82. What is the common denominator of l and (2/q)/((-6)/(-4))?
9
Let p(f) = 4*f**3 - 8*f**2 + 7*f - 8. Let g be p(9). Let r be g/13 - (-3 - -4). Let d = -25774/143 + r. Find the common denominator of 29/10 and d.
110
Suppose n - 22200 = -4*n. Let r = 53317/12 - n. Calculate the common denominator of r and -71/10.
60
Let r(n) = -7*n**3 + 8*n**2 - 13*n. Let b be r(4). Find the common denominator of -41/4 and 2 + -2 + b/(-8).
4
Let i = 21856/2255 - -7/902. Calculate the common denominator of -41/36 and i.
180
Suppose -4*k - 100 = -0*k - 3*o, 72 = -2*k - 4*o. Find the common denominator of (