Let l(u) = u - 8. Calculate the smallest common multiple of 7 and l(a).
14
Suppose 0 = -2*s - 2*s + 3*n + 16, -s = 3*n - 4. Suppose -5*d = s*c - 0*d - 17, 3*d = -c - 1. Let o = -96 + 103. Calculate the least common multiple of o and c.
56
Let g be ((-3)/(-6))/((-2)/(-44)). Suppose -4*c - 3*a + a - 14 = 0, g = -c - 3*a. Calculate the common denominator of -89/16 and 1 + c + 107/10.
80
Let v be -1 - (210/76)/(-7). Let k = v - -2/19. What is the common denominator of -139/6 and k?
6
Let i(p) = p**3 - 6*p**2 + 5*p + 2. Let x be i(5). Suppose 0 = 4*z - 0*z - 8, -4*d = -x*z - 24. Calculate the lowest common multiple of 7 and d.
7
Let r = -22692488/9 - -2518414. Let u = r + 2968. Let p = -2234/7 - -318. Find the common denominator of u and p.
63
Calculate the common denominator of -49/10 and 374/(-140) - (-12)/(-30).
70
Let c = -2 + 11. What is the lowest common multiple of 7 and c?
63
Calculate the common denominator of ((-4)/110)/(28/2415) and -101/6.
66
Let q = 4783/5 - 953. Find the common denominator of 3/9 + (-59)/24 and q.
40
Suppose -7 = -2*o - 19. Let g be o/(-9) + (-350)/(-186). Let r = g - -2431/372. What is the common denominator of -1/2 and r?
12
Calculate the smallest common multiple of 1 + 0/((-12)/3) and 8.
8
Suppose 3*m - 43 = -5*j - 0, -4*m + 44 = 5*j. What is the lowest common multiple of j and 4?
8
Calculate the common denominator of 1 + (-47)/(-4) - 4 and 73/(-30) - 2/5.
12
Suppose 89 = 5*x - 91. Suppose -r + 93 = -5*l, -6 = l + r + 3*r. Let j = x + l. What is the smallest common multiple of 10 and j?
90
Calculate the least common multiple of (6 + -3)/((-4)/((-64)/6)) and 30/(-3)*(-3 - -2).
40
Suppose -3*v + 3520 = -7*v. Let u = v - -6127/7. Let h = 649/56 + u. What is the common denominator of h and -115/18?
72
Suppose -2*y + 5*o = 2*o + 75, -4*o - 153 = 5*y. What is the common denominator of -9/20 and (-8 - -6) + y/2?
20
Suppose s - 9 = -4. Calculate the lowest common multiple of (-43)/(-6) - ((-49)/42)/(-7) and s.
35
Let l(z) = z**3 - 2*z**2 - 6*z. Let h(v) = -v**3 + 3*v**2 + 7*v - 1. Let k(m) = -3*h(m) - 4*l(m). What is the least common multiple of 4 and k(-3)?
12
Let z be 2 - (-3 - 24886/(-8244)). Let c = z + 17/229. What is the common denominator of c and 95/22?
198
Let r be -3 + (2706195/32214)/5. Let b = r - 12/767. Let q = -243/7 - b. Find the common denominator of 49/4 and q.
4
Let p = -2000 - -5947/3. Let h = 5969/792 + -16/99. Calculate the common denominator of p and h.
24
Let t = -22 - -34. What is the least common multiple of t and 4/6*5*3?
60
Let a(i) = 3*i - i**2 - i + 4 + 0 - i**3 - 2. Let k be a(-2). Suppose -t = k*j - 0*t - 11, 4*t = -20. Calculate the least common multiple of j and 3.
24
Let c = 15/142 + -647/1420. What is the common denominator of c and 49/20?
20
Let a = -400/3 + 3811/30. Calculate the common denominator of a and 6/21 + 263/(-14).
10
Calculate the smallest common multiple of -1 + 1 - (14 + -21) and 10.
70
Let q = 4503/712 + -40/89. Suppose 424 = -2*k - 2*k - 5*a, -a + 424 = -4*k. Let f = k + 397/4. Find the common denominator of q and f.
8
Let z be 5 - (1 - (0 - 1)). Suppose -9 - z = -o. Calculate the smallest common multiple of o and (44/(-10))/((-2)/10).
132
Let i(x) = x**3 - 7*x**2 + 2*x - 7. Let m be i(7). Let o = m + -5. Calculate the smallest common multiple of o and 3.
6
Let r = 17 - 14. Suppose 0 = x - 5, r*n - 2 = 2*x - 0. What is the least common multiple of 16 and n?
16
Let m(i) = -12*i**3 - i. Let h be m(1). Let v = h - -21. Calculate the least common multiple of v and 22.
88
Find the common denominator of 29/26 and ((-189)/(-144))/(3/(-5)).
208
Suppose 3*a - l = 4*a - 6, -2*a + 2*l + 8 = 0. Let z(w) = w**2 + 7*w - 7. Calculate the lowest common multiple of a and z(-8).
5
Find the common denominator of (-6)/(-8)*212/(-54) and -13/14.
126
Let u(n) = 5*n**2 + 17*n - 2. Calculate the smallest common multiple of u(-5) and 22.
418
Suppose 4*t - 4 = -5*q + 2*q, q + 2 = -3*t. What is the least common multiple of q and 14?
28
Let s = -1 - -3. Suppose -5*a - 2*q - 8 = -6*a, s*a - 16 = -4*q. Suppose -2*f + 24 = a. What is the lowest common multiple of f and 4?
8
Calculate the common denominator of 91/24 and (29*(-2)/(-6))/(336/36).
168
Let k = -32047/4977 - 3/553. Calculate the common denominator of -35/18 and k.
18
Suppose 3*g - 7*g = 56. Calculate the common denominator of (-145)/154 - g/(-49) and -51/14.
154
Let z = -4 + 6. Let y = z - -2. Suppose 11 = -y*s - s - 4*w, s - w = 5. Calculate the smallest common multiple of s and 9.
9
Let x = -23601/20 + -23227/60. Let y = 1582 + x. Find the common denominator of y and 97/6.
6
Let f(n) = -n + 30. What is the least common multiple of 18 and f(10)?
180
Let s be ((-8)/10)/((-1)/5). Let c = 20 + -15. Suppose c*b + 2 = s*z, 4 = -5*b + 14. Calculate the smallest common multiple of z and 1.
3
Let x be 2/10 - 6908484038873/(-21835). Let k = x + -316394966. Let l = k + -6/397. Calculate the common denominator of 115/6 and l.
66
Suppose -4*x - 24 = -4*c, -2*c - x = 2*c - 24. What is the least common multiple of c and 54?
54
Suppose 0*d = -11*d + 242. Let m = -4 + 6. Calculate the smallest common multiple of m and d.
22
Let q be 2*(0 + 1 + 2). Let x = q - 0. Let p(t) = t**2 - 5*t - 2. Calculate the least common multiple of 10 and p(x).
20
Suppose 83 - 35 = 2*n. What is the lowest common multiple of 9 and n?
72
What is the common denominator of (-3)/((-30)/485) - 5 and 31/14?
14
Let k(n) = -n**3 - 2*n**2 + 1. Let h be (0/(-4))/(-1 + 0). Suppose -2*y - 3*j - 2 = 0, h = -y - 2*j - 2. Calculate the common denominator of 22 and k(y).
1
Let d = 56 - 16. Calculate the least common multiple of d and 4.
40
Suppose -61 = -12*o + 47. Calculate the smallest common multiple of 22 and o.
198
Let c = 86 + -62. Calculate the lowest common multiple of c and 21.
168
Let p be 6 + (0 - 3) + 0. Suppose -p*g + 5 = b, -5*g + 27 = -b - 2*b. Suppose 0 = -5*q + 13 - g. What is the least common multiple of 22 and q?
22
Suppose -2*q + 25 = z + 2*z, -4*q = 2*z - 6. Let k = -7 + z. What is the lowest common multiple of k and 18?
36
Let o(m) = -m**2 + 8*m - 6. Let c(p) = 8*p - 1. Let h be c(1). Let g be o(h). Calculate the common denominator of g/3 + 206/36 and 35/4.
36
Suppose 2*n + 23 = -5*s - 0*n, 0 = 3*s - 2*n + 1. Let q be s/6*0 + -3. Calculate the least common multiple of 6 and (q - -2)/((-4)/12).
6
Let r = -11 - -13. Calculate the least common multiple of 10 and r.
10
Let m = -7 + 18. Let r = 20 - m. What is the least common multiple of r and 6?
18
Find the common denominator of -95/6 and -47*(-2 - (-84)/44).
66
Let p = -6578180169713/217489560 + 3/36248260. Let t = 30241 + p. Find the common denominator of -61/20 and t.
120
Let f(z) = -z + 9. Let j be f(16). Let h = j + 9. What is the smallest common multiple of 8 and h?
8
Find the common denominator of 0 - 3/(72/260) and 85/6.
6
Let u(l) = 26*l**3 - l - 3. Let s be u(-3). Let y be 233724/(-336) + (-3)/(-4). Let p = s - y. Find the common denominator of p and 11/9.
63
Suppose -4*i + 0*h + 4 = -2*h, 0 = 3*h - 6. Suppose 4*y + g = i*g + 83, -3*g = 9. What is the lowest common multiple of y and 22?
220
Let s be ((-579)/11386)/((-9)/(-50529)). Let c = s - 2/5693. Let u = c + 280. What is the common denominator of 5/22 and u?
22
Suppose 2*u = 6*u + 272. Calculate the least common multiple of 51/u - 86/(-8) and 8.
40
Suppose -2*c + 105 = r - 0*r, 4*r - 96 = -2*c. Suppose c = -g + 4*g. Calculate the smallest common multiple of g and 16.
144
Let y be (-790)/5 + 0/(-2). Calculate the common denominator of 19/7 and (2/(-8))/((-4)/y).
56
Let m be ((-4)/(-202))/((-6)/108). Let c = 6825/404 - m. Calculate the common denominator of -47/2 and c.
4
Let n = -215407/2 + 12601556/117. Let m = n - -7/117. Let y = -248215/14 - -17722. What is the common denominator of m and y?
42
Let m(y) = y + 8. Let b be m(-6). Suppose f + 6 = 5*z - f, -f = -b. Calculate the least common multiple of z and 3.
6
Suppose -2*k = 3*k - 240. Suppose 2*r + 2*r = k. Calculate the common denominator of 2/r*261/(-30) and -83/18.
180
Let o(b) = -b**2 - 8*b - 7. Let f be o(-6). Let l = f + 7. Let u = -8 + l. Calculate the least common multiple of u and 9.
36
Let d(h) = 454*h - 6. Let p be d(4). Let b = -7145/4 + p. Calculate the common denominator of -99/14 and b.
2