Let k = -260119/12 + 21689. What is the common denominator of u and k?
12
Let y be (-1)/1*(53 + 1). Find the common denominator of (-122)/16 + (-6 - -2) and y/(-16) - (-2 + 2).
8
Let y be (-6)/9 - 34/(-6). Let q(m) = 3*m + 7. Let f be q(y). Let u = f + -15. What is the smallest common multiple of u and 4?
28
Suppose -k - 3*k - 188338220 = 0. Let r = k - -1035512481/22. Let q = 15802 + r. What is the common denominator of q and 7/4?
44
What is the common denominator of 67/6 and (57/(-45))/((-8)/(-20))?
6
Let h(r) = r**3 - 4*r**2 + 7*r - 14. Calculate the smallest common multiple of 9 and h(4).
126
Let p(i) be the second derivative of -i**4/12 + 17*i**3/6 + 7*i**2/2 + i. Let k be p(10). Calculate the common denominator of (-9)/(-21) + 149/k and 50/9.
99
Let m(c) = c + 6. What is the smallest common multiple of m(4) and 40?
40
Suppose -3 = -3*a + 15. Let s(i) be the second derivative of -i**4/12 - 7*i**3/6 + i. What is the least common multiple of s(-6) and a?
6
Let c(g) = -2*g - 10. Let x be c(-7). Suppose 14 = 2*u + 6, d - 2*u = -x. Suppose -2*f + d*f = -52. Find the common denominator of -87/2 and f.
2
Let t = -13 - -43. What is the smallest common multiple of 9 and t?
90
Let j = -11117/14352 + 9/2392. Find the common denominator of j and 59/10.
240
What is the common denominator of 19/60 + 4/(-6) and 69/(-9) - (-2)/8?
60
What is the common denominator of 61/14 and (-1)/(40/(-334)) + -3?
140
Suppose l = -l + 76. Let v = -16 + l. What is the smallest common multiple of 16 and v/3 - (-4)/6?
16
Let x(b) = -b - 9. Let v be x(-7). Let o = 39937/16 - 2497. Find the common denominator of o and v/(-10) + 174/80.
16
Let c = -3 + -2. Let w be 3 - (0 + 968/c). Let l = 194 - w. What is the common denominator of l and 27?
5
Let x = 2134 - 627. Let k = 10526/7 - x. Calculate the common denominator of k and -111/10.
70
Suppose 5*g - p + 121012 = 2*p, -5*g - 4*p = 120984. Let l = g + 532295/22. Find the common denominator of -113/14 and l.
154
Let v = 1/957 - 12457/15312. What is the common denominator of -99/16 and v?
16
Let s(n) = -20*n**3 - n**2 - n. What is the least common multiple of 12 and s(-1)?
60
Suppose -68 = -y + 2*u, 4*y + 0*y + u - 281 = 0. Let a = 18 + -33/2. Find the common denominator of y/55*30/(-8) and a.
22
Suppose 13*h - 28*h = -45. Calculate the smallest common multiple of h and 30.
30
Let s = 1060054 + -89046295/84. Let w = s + 109/21. Find the common denominator of (12 + -1)/(80/(-32)) and w.
20
Suppose 4*n + f = 44, 3*n - 4*f - 64 + 12 = 0. Let d be 352/10 + (-2)/10. Let z = d - 15. What is the lowest common multiple of z and n?
60
Calculate the common denominator of -1 + 1 + (-6)/20 and -1 - ((-356)/(-48) - 0).
60
Let w = -360 - -536. Find the common denominator of 1 - 4/(w/42) and 49/16.
176
Let t be (-48)/(-10)*5*2. What is the common denominator of 8/(-20) + (-19)/4 and ((-2)/t)/(6/(-729))?
80
Let q = 14408/7 + -2051. Find the common denominator of q and (-4)/((-4)/3) + 60/(-35).
7
Let y = -1950 + 1790099/918. Let v = 863/66456 - -14356633/3389256. Let b = y - v. What is the common denominator of b and -43/5?
20
Suppose v + 5*g - 3235 = 0, g - 3255 = 5*v - 6*v. Let c = -58741/18 + v. Find the common denominator of c and 139/12.
36
Let i(z) = -2*z**3 - 22*z**2 - 2*z - 6. What is the lowest common multiple of i(-11) and 12?
48
Suppose -3*t = -3137 + 266. Let m be t/459 - 2 - 0. Let w = 10817/3060 - m. Find the common denominator of w and 7/10.
20
What is the smallest common multiple of 182/84 - 1/6*1 and 8?
8
Suppose 20 = -5*p, w = -4*p - 15 - 1. What is the least common multiple of 8*(-2 - (-3 - w)) and 11?
88
Suppose -4*k = k + 60. Find the common denominator of 25/18 and ((-119)/k)/7*2.
18
Let j be 4/(-2)*1*-25. Suppose 0*t + 3*t + h = 35, 2*h + j = 4*t. Let q = -15 + 33. What is the smallest common multiple of q and t?
36
What is the common denominator of -79/20 and 347/60 + 4/(-12)?
20
Let q(a) = -a**2 - 14*a - 11. Let s(w) = -3*w**2 + 2*w + 3. Let g be s(-2). Calculate the lowest common multiple of q(g) and 16.
16
Let d(u) = -u**2 + 3*u - 3. Let s be d(2). Let g = 7 + s. What is the lowest common multiple of 1 - -1 - (-2 - -1) and g?
6
Let t = 4/231 + -22909/2310. Calculate the common denominator of t and -51/4.
20
Let g = -14 - -18. Let j(h) = -h**2 - 6*h - 3. Let v be j(-5). Calculate the smallest common multiple of g and v*-2*9/(-12).
12
Let q be (1 + -1)/(-1 - -3). Let s(k) = 2*k**2 + 18. Let u = 15 - 9. What is the lowest common multiple of s(q) and u?
18
Let y = -2/1571 - -67573/15710. Find the common denominator of y and ((-3)/9)/((-20)/(-357)).
20
Suppose -3*z - 111 - 69 = 0. What is the common denominator of (136/z)/((-4)/(-9)) and -29/4?
20
Let r be (-3*(-18534)/27)/20. Let w = 317/3 - r. Find the common denominator of -69/10 and w.
10
Let q be (1562/12)/(-2 - 2). Let s = q + 259/24. What is the common denominator of s and (-2585)/(-44)*(-2)/(-5)?
4
Suppose -5*c - 20 = -175. Let b = c + -19. Let g = 4 + -2. Calculate the smallest common multiple of g and b.
12
Let j = -74281/2 + 36170. Let n = 2860/3 + j. Find the common denominator of n and (16/(-11))/(2/4).
66
Let x be 80/3*(-6)/(-5). Suppose -x = 5*p - 3*t + 11, p + 6 = -2*t. Calculate the common denominator of (-3 - (-62)/p) + -1 and -11/8.
8
Let g(u) = u**2 + 15*u + 20. Let w(d) = -d**2 - 10*d - 14. Let i be w(-10). Calculate the lowest common multiple of g(i) and 5.
30
Find the common denominator of (-250)/(-72) - 1/4 and 3 - ((-6)/96)/((-1)/(-38)).
72
Let j(b) = b**2 + 5*b + 12. Calculate the least common multiple of 18 and j(-5).
36
Let g(f) = 2*f - 2. Let d be g(10). Calculate the lowest common multiple of 3/9*(-3 + d) and 10.
10
Let z be (-32)/12*9/2. What is the lowest common multiple of (-24)/(-14) + z/(-42) and 9?
18
Let k = -787/238 + 123/17. Suppose 0*o + 2*o - 6 = 0. What is the common denominator of k and o + (3042/(-44))/9?
154
Let m = 9 - 3. Let z = -2 - -4. Suppose z*w - 3 = w. Calculate the least common multiple of m and w.
6
Suppose 4*o - 12 = 2*o + 4*z, -3*o - 3*z = 27. What is the common denominator of o + (0 - (-13)/(-2)) and (-14)/(-3)*(-21)/22?
22
What is the common denominator of -65/14 and (-91)/36 - 26/117?
28
Suppose -3*a = -0*a - 18. What is the smallest common multiple of (7 + -1)*a/9 and 2?
4
Find the common denominator of 1/16 and (1035/(-81))/((-6)/(-9)).
48
Calculate the common denominator of -5 - (-1 - 145/(-40)) and 15/6*(-2)/(-8).
8
Find the common denominator of -67/24 and (-122*1/(-2))/(-2) - 0.
24
Let h = 1356 - 9507/7. Let x = -57553/9 - -6401. What is the common denominator of x and h?
63
Let w = 12219/4 + -3031. Find the common denominator of w and 13/16.
16
Let v = 51 - 42. Calculate the smallest common multiple of v and 12.
36
Suppose -2*p = 3*k - 23, 16 = 2*p + k - 5. Calculate the smallest common multiple of p and 12.
60
Find the common denominator of (-2)/4*642/42 and 1/(-3 + -3) + -2.
42
Let k = -5 + 3. Let b be (-84)/1*k/(-3). Find the common denominator of -28/9 and (-1)/2 - (-100)/b.
63
Suppose -3*g + 0*g - 498 = 0. Find the common denominator of 3 + 3/12*-82*-1 and 0 - (g/4)/(-1).
2
Let h = 11 - 8. Suppose -5*v + 106 = 4*l, 4*v - 30 = -h*l + 54. What is the lowest common multiple of 10 and v?
90
Let z = 15 + -4. Let s = 19 - z. What is the least common multiple of 12 and s?
24
Let m(d) = -d + 12. Let f be m(10). Let y(a) = 2*a**3 + a**2 - 4*a + 4. What is the smallest common multiple of 16 and y(f)?
16
Let i = -5 + 2. Let d be (2/i)/(22/(-33243)). Let q = d + -1008. Find the common denominator of -22 and q.
11
What is the common denominator of 62/66 + (-2)/3 and (-35)/25 - 4/10?
55
Let g = 0 + -4. Let y = 30 - g. Calculate the common denominator of (-8)/12 + y/(-21) and -32.
7
Calculate the lowest common multiple of 23 and 1/((-9)/24 + (-2)/(-4)).
184
Let h(s) = 2*s + 8. What is the smallest common multiple of 12 and h(6)?
60
Let k = 39 - 35. Let s = 30 - 20. What is the least common multiple of s and k?
20
Let q(z) = 5*z**2 - z. Let i be q(1). Suppose i*t + 4 = 0, 2*r = -r + t + 34. Calculate the smallest common multiple of 5 and r.
55
Suppose 2*k + 0*k - 22 = 4*f, -5*k = 5*f - 10. Suppose u - 2*o + k*o = 10, -2*o - 8 = -3*u. What is the least common multiple of u and 6?
12
Let p = 1147307/30 + -38248. Wha