8
Let m = 799 + -1345. Let c = m + 4883/9. Calculate the common denominator of c and 11/6.
18
Let n(j) = -58*j + 2. Let a be n(-2). Let k = a - 1187/10. Suppose 0 = -0*r + 2*r + 62. What is the common denominator of k and r?
10
Let f = -892 + -1217. Let q = -33723/16 - f. Calculate the common denominator of q and (6/32)/(6/316).
16
Suppose 0 = -4*t + 2*t + 2. Let j(l) = l**3 + 1. Let u be j(t). What is the least common multiple of 18 and 1*u/(-4)*-28?
126
Let h = 46 - 21. Let r = h + -17. Let g = -3 - -6. Calculate the least common multiple of r and g.
24
Let c(w) = w**2 - 15*w + 18. Suppose 0 = -2*b + 7*b - 90. Calculate the lowest common multiple of b and c(14).
36
Let k(r) = -r - 18. Let w(j) = -2*j - 35. Let l(t) = 11*k(t) - 6*w(t). Calculate the least common multiple of l(0) and 18.
36
Let k = 567 + -4527/8. What is the common denominator of -29/22 and k?
88
Let h(v) = v**2 - 5*v + 1. Let r be h(6). Let c = 12 - r. Find the common denominator of c/20 - (-10)/16 and -45/22.
88
Let j = -18 - -34. Let m be (4/10)/((-6)/(-15)). Let c = m - -7. Calculate the least common multiple of c and j.
16
Let l = 8 - 13. Calculate the common denominator of 50/8*22/l and -91/10.
10
Let n = -23754 - -41795. Let g = n + -37229/2. Let r = g - -6302/11. What is the common denominator of r and -137/12?
132
Let a = -98 + 107. What is the lowest common multiple of a and 5?
45
Suppose 5*u = -2*v + 4, -8 = 2*v - 4*u + 3*u. Find the common denominator of -61/16 and (-2 - -91)*v/48.
16
Let o = 53573/10 + -5365. Calculate the common denominator of o and 95/8.
40
What is the common denominator of 69/10 and ((-1)/((-90)/4))/((-24)/(-126))?
30
Let a(w) = 7*w - 2. Let d be a(2). Let t = -6 + d. Calculate the lowest common multiple of 16 and t.
48
Suppose o = 4*p + 7502, -2*o - 4*p + 15028 = -0*o. Let h = o + -15759. Let a = h + 131935/16. Calculate the common denominator of a and 33/2.
16
Let a(x) = -x**3 + 7*x**2 + 4*x - 7. Let z be a(7). What is the smallest common multiple of (1 + -2)/((-3)/z) and 2?
14
Suppose 5*s - 3*s = 18. Suppose n = -3*w - s, -4*n + 5*w = w - 28. Calculate the smallest common multiple of n and 3/(7/4 + -1).
12
Let w = 0 + 3. Suppose 4*c - u = 49, 4*u - 14 = -w*c + 18. What is the lowest common multiple of c and 8?
24
Suppose -5*l = -0*l - 15. Suppose -6*g + 9*g = 6. Calculate the smallest common multiple of l and g.
6
Let z be (-4)/((-8)/14) + -1. What is the common denominator of -17/8 and z/(-10)*158/12?
40
Let y = 100/43 + -2047/344. Find the common denominator of 43/32 and y.
32
Let o = -5/107 + 4549/1177. Find the common denominator of o and -15/7.
77
Let g(s) = s**3 + 5*s**2 + 2*s + 1. Suppose -q + 17 = -3*q - 3*u, 11 = q - 5*u. Calculate the least common multiple of g(q) and 1.
9
Let f = -16532143 + 231550271/14. Let d = f - 7168. What is the common denominator of -27/2 and d?
14
Let y = -101799/22 + 4628. Calculate the common denominator of -67/42 and y.
462
Let a(t) = 2*t + 5. Suppose 3*n - 4*n = 5*q - 11, n + 9 = 5*q. What is the common denominator of (1/2)/(q/101) and a(-7)?
4
Let b(p) = -p**2 - 3*p + 2. What is the smallest common multiple of b(-3) and 4?
4
Let f = -40 + 43. What is the least common multiple of f and 10?
30
Let q = -2672/435 + -5/87. Let g = 6 + -2. Suppose g*x = x + 48. Find the common denominator of x and q.
5
Let u(q) = -q**3 + 4*q**2 + 5*q - 4. Let t be u(5). Calculate the least common multiple of 8 and 1 - -2 - (t - -3).
8
Let g be (1 + (-2)/4)*90. Suppose 3*s = 3*j + g, -4*s + 27 = -5*j - 34. What is the lowest common multiple of 6 and s?
42
Let z = -9/92 - 3193/276. Find the common denominator of z and 41/5.
15
Let q = -22 + 72. Suppose -q = -0*y - 5*y. Suppose 5*a + 0*a = 40. What is the smallest common multiple of y and a?
40
Let h(j) = 2*j - 4 - j - 8. What is the smallest common multiple of h(15) and 5?
15
Let t(p) = p**3 + 11*p**2 + 4*p - 42. Calculate the least common multiple of t(-10) and 20.
180
Let y be -2*1 + 4 - 251. Let s be -79*-2*y/(-6). Let j = -52389/8 + s. Calculate the common denominator of j and 23/10.
40
Let m = -7/407 - -885/55759. Let n be (-247292)/(-108504) - -2 - 3. Let x = n + m. Calculate the common denominator of -101/6 and x.
18
Let v(y) = 2*y + 8. Let p be v(-6). What is the lowest common multiple of 4 and (p/(-10))/((-1)/(-5))?
4
Let m(q) = -q**2 + 3*q + 1. Let d be m(-1). Let p(w) be the third derivative of -5*w**4/24 + w**3/6 + w**2. What is the lowest common multiple of 22 and p(d)?
176
Let y = -11307/3367 + 1/962. Suppose 0 = -3*a - 692 + 3455. Let z = a - 9153/10. Find the common denominator of z and y.
70
Let d be ((-5)/3)/((-2)/6). Suppose 96 = -d*s + z, 2*z = s + 13 - 1. What is the common denominator of 47/3 and 1/4 - (-53)/s?
15
What is the least common multiple of 8 and 3/((-12)/88)*(-3 + 1)?
88
Suppose 0*k - 2*k - 5*d - 55 = 0, 12 = -4*d. Let r be (14/(-3))/(k/(-30)). Calculate the least common multiple of 8 and (4/(-10))/(r/70).
8
Let s = 200/19 + -2021/266. Find the common denominator of s and -19/10.
70
Let q(z) = 0*z + 2 + 2*z - 3*z. What is the smallest common multiple of q(1) and -1 + 0 - -1*12?
11
Let t(z) = z + 6. Let g be t(-7). Let w = 19 - -17. Find the common denominator of g*170*(-1)/w and -89/18.
18
Let i = 10/461 - 57685/2766. Let h be 318/(-9) - 2/(-6). Let c = h - -71. Find the common denominator of c and i.
6
Suppose 6*l = 3*l. What is the least common multiple of l/(-4) + 2 - -6 and 14?
56
Suppose -2*y + 16 = -2. Calculate the lowest common multiple of 14 and y.
126
Suppose -15 = -3*m - 6. Calculate the least common multiple of 23 and m.
69
What is the common denominator of (1/(-2))/((-5)/67) and (-5 - 292/40) + (3 - 3)?
10
Let i(k) = -7*k**2 + 1. Let w be i(1). What is the least common multiple of (-4 + 5)/((-1)/w) and 22?
66
Let x be (21/(-12))/(-1)*4. Calculate the common denominator of (58/(-30))/(12/50) and -2 + x/2 + -3.
18
Suppose 0 = 2*f - 7 - 3. Suppose 4*z - f = 3. Calculate the lowest common multiple of z and 8.
8
Let a = 44 - 22. Calculate the least common multiple of (-152)/(-20) - (-8)/20 and a.
88
Calculate the least common multiple of 6*((-4)/6)/(-2) and 6.
6
Let g = -8/5 - -126/85. What is the common denominator of 35/4 and g?
68
Suppose 3*o = -4*i + 28, i - 4*i + 3 = 0. Let j be (-33)/(1/4 + -1). Suppose 0*z - 2*z = -j. What is the smallest common multiple of o and z?
88
Find the common denominator of 1/2*(128/12 + 2) and -56/5.
15
Let c = 95/18 + 155/9. Find the common denominator of -17/4 and c.
4
Suppose 7 = -c + 5*p, -c - 14 = c + 2*p. Let s = 10 + c. Calculate the lowest common multiple of 6/(-21) - (-32)/14 and s.
6
Let y be (3 - 0)*(-4)/6. What is the least common multiple of 2 - -2*(-7)/y and 9/(-21) - 511/(-49)?
90
Calculate the common denominator of -61/44 and (-12)/(-33) + 3/4.
44
Let t = -1327 + 2731/2. Let c = -206 - 146. Find the common denominator of t and 1714/c - (-4)/22.
16
Let i be -2 - (0 - (-236)/(-121)). Let d = 5807/2420 + i. Calculate the common denominator of d and 1731/(-90) - (-4)/10.
60
Let x = 4 - 1. Calculate the smallest common multiple of 3 and -3 - x*-4 - -2.
33
Let m = 111812179/20 + -5592403. Let h = 1796 + m. Find the common denominator of 77/18 and h.
180
Let v = -10 + 14. Let z = 17 - 20. Calculate the common denominator of -17/6 and 37/z + v/(-8).
6
Let q = 11 - 1. What is the lowest common multiple of 14 and q?
70
Let h = 8891/8 + -1113. Calculate the common denominator of h and (-95)/60*11 - (-3)/(-9).
8
Calculate the smallest common multiple of 14 and (36/16)/((-5)/(-20)) + -2.
14
Let a be ((-8)/10)/((-2)/(-25)). Find the common denominator of (-553)/(-21)*(-3)/a and -61/20.
20
Let x = 14 - 15. Calculate the least common multiple of (3 + x)*7/2 and 2.
14
Suppose -1893 = 4*s - b, 0*s - 3*s = 2*b + 1428. Calculate the common denominator of s/120*(0 - 1) and 79/20.
20
Suppose 2*d + s = 47, 0*s = -d + 2*s + 21. Let p = d - 15. What is the smallest common multiple of p and 17?
136
Suppose 3*r = 5*r - 44. Calculate the smallest common multiple of r and 18.
198
Calculate the least common multiple of (-7)/(-9) + (-8)/(-36) - -20 and 54.
378
Let o(f) = -7*f + f**2 + 9 - 2*f**2 + 19*f. Calculate the lowest common multiple of -1*(-5 + 1/(-1)) and o(12).
18
Let z be 57253/(-14)*1/4. Let k = 1030 