
Let z(r) = -r. Let g be z(-1). Find the common denominator of g - ((-510)/4)/3 and -27/10.
10
Let o(t) = t + 1. Let r be o(-10). Calculate the common denominator of r/(-3) + (-132)/16 and 149/12.
12
Calculate the common denominator of -69/14 and (-248)/(-60) + 4/24.
70
Suppose -3*m - 24 = -3*r, 4*m + r + 42 = -0*r. Let x = -5 - -27. Calculate the smallest common multiple of 0 + (m*2)/(-2) and x.
110
Suppose 3*p = -u, -2*u - 2*u + 56 = -2*p. Suppose 5*k + 4*s = 4*k - 8, 2*k = -2*s + 2. What is the smallest common multiple of k and u?
12
Let m = -120 - -350. Let t = m + -340. Calculate the common denominator of (-5)/(t/(-114)) + 1 and 91/4.
44
Find the common denominator of 6/4 + 139/(-12) and -23/6.
12
Let f = -31331/24 - -1305. Let b = 89/120 - f. Calculate the common denominator of b and -39/8.
40
Suppose 2*j = -j + 3*c + 57, -2*j - c = -44. Calculate the lowest common multiple of 5 and j.
105
Let d = -21 + 29. Calculate the lowest common multiple of 22 and d.
88
Let x = 6 - 2. Let u(a) = -4*a**2 + 5*a - x - a**3 + 3*a**2 - 4*a**2. What is the smallest common multiple of u(-6) and 1?
2
Let m = 316/15 - 3776/165. Find the common denominator of m and 0 + (-58)/(-7) - 1.
77
Suppose -4*y + 6 + 10 = 0. Suppose 0 = -y*z + z - 30. Find the common denominator of 51/7 and z/35 + (-9)/(-7).
7
Let i(q) = 3*q - 3. Calculate the lowest common multiple of i(3) and 1/2 - (-54)/4.
42
What is the least common multiple of 22 and 78/12 + (-3)/(-2)?
88
Let o(w) = 5*w - 1. Let g be o(-1). Let h = 5 + -3. What is the lowest common multiple of (-2)/g*(8 + -2) and h?
2
Let b = 3/1019 + -25493/6114. Let n = -1 + -5. Calculate the common denominator of b and (-41)/n + (-3)/3.
6
What is the common denominator of 180/33*3/(-4) and -2 + 0 - 62/6?
33
Suppose -16 = -q + 3*q. Calculate the common denominator of 158/180 - q/36 and 234/20 + (-1 - 0).
10
Let a = -960 - -11507/12. Find the common denominator of (-333)/(-27) + 1/4 and a.
12
Let x(u) = 2*u**2 + 13*u. Let r be x(10). Suppose -4*v - 4*m - 174 - 94 = 0, -5*v = -5*m + 315. What is the common denominator of 7/20 and (-18)/r*v/2?
220
Let p be (-6)/(-9) + 11/(-3). Let l be ((-46)/(-6))/((-1)/p). Suppose -5*j - 4*z + l = 0, -j + 5*z = j + 4. What is the least common multiple of 2 and j?
6
Suppose 4*y + 3*p + 52 - 20 = 0, 2*y + 5*p = -16. Calculate the lowest common multiple of 10 and 2/(-4) + (-84)/y.
10
Suppose 1 = 5*x + 51. What is the lowest common multiple of 12 and 153/15 + 2/x?
60
Calculate the smallest common multiple of 4 and (6/(-5))/((-9)/60).
8
Let l = 17845/36 + -499. Calculate the common denominator of -31/44 and l.
396
Suppose 0 = -t + 14 - 4. Suppose m = t + 2. What is the smallest common multiple of m and 14?
84
Suppose s = 2*d + 12, 3*s - d = 43 + 8. What is the least common multiple of s and 20?
180
Suppose -g + 4 = -16. What is the least common multiple of g and 10?
20
Suppose 0 = 3*g - 16 + 4. Suppose c + 5*x - 24 + 2 = 0, -g*c = 2*x + 2. Find the common denominator of 12 and 1 + ((-39)/33 - c).
11
Let o = -2177/2 + 4267/4. What is the common denominator of -5/8 and o?
8
Let a = -3 + 19. Calculate the smallest common multiple of 32 and a.
32
Let g = -533/450 - -4/225. What is the common denominator of (58/(-4) + -3)/(2 - 6) and g?
24
Let q = -131 - -147. Calculate the least common multiple of 30 and q.
240
Let y(x) = 0 - 4 - 2 + x**2 - x - 2. Calculate the lowest common multiple of 10 and y(6).
110
Suppose -8*p + 0*p + 112 = 0. Let k = 42 - 26. What is the smallest common multiple of k and p?
112
Let s = 1599/4 + -414. Let y = 28484374/9 - 3159577. Let i = y - 5360. Find the common denominator of s and i.
36
Let u = 53 + -85. Let j be 392/(-261) - (-3)/2. Let r = 26359/1044 - j. Calculate the common denominator of u and r.
4
Let s(m) = m + 1. Suppose -5*f + 5 = -15. Let z be s(f). Let t = z - 0. Calculate the least common multiple of 2 and t.
10
Let u be ((-21774)/8)/(2/(-40)). Let x = -392963/7 + u. Let f = x + 1699. Calculate the common denominator of 119/6 and f.
42
Let y(k) = 2*k**2. Let t be y(-1). Suppose 3*i + 10 = -5*l + 60, -t*l + 2*i = -4. What is the common denominator of 85/8 and (-166)/(-20) + l/14?
40
Let w = -139792953/70 + 1996984. Let s = 509/10 + w. Calculate the common denominator of s and 24/7.
7
Let s(n) = 13*n**3 + 1. Let u(c) = c**3 - 2*c**2 + 2*c - 1. What is the lowest common multiple of s(1) and u(3)?
14
Let w = -17/1106 + -40016/4977. Let c(o) = o**2 + 5*o - 3. Let l be c(-6). Calculate the common denominator of -5 + l + (-19)/6 and w.
18
Let h = 27260 + -490823/18. Calculate the common denominator of h and 67/6.
18
Suppose -5*y = -2*y - 30. Suppose 0*j - 5*j + y = 0. Suppose -j*b - 2*b = -40. Calculate the least common multiple of b and 8.
40
Let p(u) = -u**2 - 6*u + 2. Let v = 8 + -5. Let m = 12 - v. Calculate the least common multiple of p(-5) and m.
63
Calculate the common denominator of (-2*(-1455)/(-80))/(-15) and -63/10.
40
Suppose 2*a = 7*a. Suppose -50 + a = 5*r. Let b = -8 - r. Calculate the least common multiple of 10 and b.
10
Suppose -3*q = -4*q - 4. Let l be 2/q - (-33861)/(-210). Let j = -773/5 - l. What is the common denominator of 33/8 and j?
56
What is the least common multiple of 33 and 4/6*(495/10)/11?
33
Let f = -74 - -50. Let g = -15723 - -283141/18. Find the common denominator of g and 0/(-2) + (-34)/f.
36
Suppose 2*b - 5*y - 5 = 0, -4*y = -5*b + b + 16. Let x(z) = 19*z - 7. Let p be x(b). Suppose -2*h + p = 2*h. What is the least common multiple of 2 and h?
22
Suppose 5*n - 28 = n. Calculate the least common multiple of 11 and n.
77
Let v be (6 - 3)*2/(-3). Let g be 54/(-13) - 12/(-78). Calculate the common denominator of 26/5 and (-23)/v*(-1)/g.
40
Let l(q) = -285*q - 40. Let k(o) = 22*o + 3. Let n(m) = 40*k(m) + 3*l(m). Let r be n(1). Let a = -9 + r. Calculate the least common multiple of a and 2.
16
Let h(c) = c - 10. Let t be h(12). What is the common denominator of -24/7 and ((-44)/96)/(t/(-54))?
56
Calculate the least common multiple of 0 - (-1 - 16 - 1) and (-4)/10*(-39 + (-2 - -6)).
126
Let g be 3 + 292/5 - 2. Let p = g + -2753/45. Calculate the common denominator of -13/4 and p.
36
Let c = -5/28 + -1/14. Let p be ((-39)/132)/(10/(-525)). Let g = p - 62/11. Calculate the common denominator of c and g.
8
Let f(s) be the first derivative of -s**2/2 + 2*s - 3. Let j(z) = -z - 1. What is the lowest common multiple of j(-7) and f(1)?
6
Let c = 45 + -21. Suppose 0 = -v - 2*v - c. What is the least common multiple of 7 and (-25)/(-4) + 2/v?
42
Let c(n) = 2355*n - 2. Let j be c(2). Let l = j - 65805/14. Calculate the common denominator of l and (((-1212)/(-20))/3)/((-40)/25).
56
Let f be (-3)/((-6)/(-4) - 0). Let n = 2 - f. Let t = 8 - -3. What is the smallest common multiple of n and t?
44
Let w be (-13282)/(-39828) - 6/18. Let j = w - -288749/26552. Let y = -4004 + 16101/4. Calculate the common denominator of y and j.
8
Let q(h) be the first derivative of -h**3/3 + 3*h**2/2 - h + 1. Let t be q(2). Calculate the common denominator of ((-1442)/(-12))/7 + t and 119/6.
6
Calculate the common denominator of (-6 + 8)*37/(-10) and -59/8.
40
Let o = 4 + -1. Calculate the common denominator of 27/40*(o + -5) and 51/14.
140
Let l = -31/24 - -1/8. Let c = 2/3 - l. What is the common denominator of c and 2/12*(-93)/(-11)?
66
Let k = 12 + -11. Suppose -5 = -n + k. Calculate the lowest common multiple of 8 and n.
24
Suppose -4*s - 4 = 3*n - 24, -s = 5*n - 5. Calculate the lowest common multiple of 8 and s.
40
Suppose 0 = -2*y - 2*y. Suppose y = 4*a + 16 + 696. What is the common denominator of 105/22 and (a/16)/((-2)/(-4))?
44
Let i = 75683/12 - 6303. Calculate the common denominator of i and (-98)/40*1*2.
60
Find the common denominator of -2*67/(-32) - (-2)/2 and -63/10.
80
Suppose -2*k + 3*u + 14 = 0, -u - 3*u = 2*k. Suppose -v + k*j = -15, 3*j = 5*v + j - 21. Let q = 37 + -26. What is the least common multiple of v and q?
33
Let o = -17997335 + 3995416931/222. Let q = o + -7/111. Find the common denominator of q and -105/22.
22
Suppose 0 = o - 3*u, -5*o + 0*o + u + 28 = 0. Calculate the lowest common multiple of 7 and o.
42
Let s = -6025/6 + 1010. Suppose -12 = -v - 65. Find the common denominator of s and v/(-8) - (-2)/(-2).
24
Let h = -23 + 40. Suppose