 and c?
168
Let g = 6151 + -55301/9. What is the common denominator of g and -85/48?
144
Let b = 196441/100 + 50346/25. Let p = -3956 + b. What is the common denominator of p and (3 + -4)/((-8)/23)?
8
Suppose 3*a = -2*i + 21, 2*i - 5*a = -4 + 1. What is the lowest common multiple of 33 and i?
66
Let z(u) = 1129*u**2 - 3*u + 7. Let x be z(-4). Let h = x + -361737/20. Find the common denominator of -95/18 and h.
180
Let n be (6/(-4))/(6/8). What is the common denominator of 68/9 and (-78)/28 - n/7?
18
Let n(t) = -t**3 + t**2 - t - 1. Let k(u) = 12*u**3 - 7*u**2 + 5*u + 6. Let x(a) = k(a) + 5*n(a). Calculate the least common multiple of x(1) and 12.
12
Suppose -4*i + 3*q + 32 = -q, 5*q = -5*i + 60. Let n be (3 - (3 + -6)) + -2. Suppose n*j - 6 = 6. Calculate the least common multiple of j and i.
30
Suppose 2*w = -3*v - 8, 5*w + 3*v = -12 + 1. Let f be 132/3 - (-2)/w. Suppose -a = -4*a + f. Calculate the smallest common multiple of 12 and a.
84
Let g = 6 + 2. What is the common denominator of -19 and g?
1
Let v be (-1)/(-4) - 6/(-8). Let n be ((7 - 3)*-1)/(-2). Suppose -5*l = u - v, n*l - 28 = -7*u + 2*u. What is the smallest common multiple of u and 9?
18
Suppose 5*i - 126 = -2*r, 0*i - 33 = -2*i + 5*r. Find the common denominator of 4/(-6) - (-130)/i and 47/8.
8
Let n(m) be the third derivative of m**6/120 + m**5/12 - m**4/12 - m**3/3 - m**2. Suppose x + 11 = 8. What is the lowest common multiple of 4 and n(x)?
44
Let t be ((-2)/984)/((-20)/(-8)). Let z = -6662/615 + t. Calculate the common denominator of -58/9 and z.
18
Let c = 2299/252 - -1/504. Suppose 3*y + 27 = 4*y. What is the common denominator of c and y?
8
Let a = 31 - 22. Calculate the lowest common multiple of 9 and a.
9
Calculate the common denominator of 73/18 and ((-1)/(-10))/(-4 + (-1211)/(-301)).
90
Let y = -21 - -31. Let u be 4/(-10) + (-6)/y. What is the least common multiple of 22*(0 + 2 + u) and 14?
154
What is the common denominator of (69/5)/((-94)/(-10) - 5) and (-46)/112 + 4/14?
88
Let g = 58 - 82. Let b = g + 34. What is the least common multiple of 28 and b?
140
Suppose 9*l = 3*l + 60. Calculate the least common multiple of l and 16.
80
Suppose 5*k - 53 = -3. Calculate the least common multiple of 8 and k.
40
Suppose -6*q + q - 5 = 0. Let v(o) = -4836*o**3 - 2*o**2 - o. Let f be v(q). Let n = f - 67651/14. Calculate the common denominator of n and 103/14.
14
Let r = -1251/104 - -615/26. Let d(s) = s**3 + 7*s**2 + 5*s - 5. Let g be d(-6). Find the common denominator of (-2)/g + (-97)/2 and r.
8
Let q = 3 - 5. Calculate the least common multiple of (-7 - -11)/((-1)/q) and 6.
24
Let k = -112 + 171. Suppose 5 - k = -3*p. Calculate the lowest common multiple of p and (21 - 1) + (-2 - -2).
180
Let n = -124 - -130. What is the lowest common multiple of 33 and n?
66
Let j = 198301/12 - 16515. Calculate the common denominator of 3/(-96)*-46 + 1 and j.
48
Let i = 4 - -18. Calculate the lowest common multiple of 8/(-12)*-15*2 and i.
220
Suppose -27 - 18 = -5*s - 5*v, 2*s - 4*v = 36. Let p = -6 + 24. Calculate the least common multiple of s and p.
36
Let a = 31/10 - -21/5. Let u be (-955)/(-190) + 1/(-2). Let w = -1645/57 + u. What is the common denominator of w and a?
30
Suppose -3*t + 3*h - h = -5, 0 = 2*h + 2. Let s = -14/3 + t. Calculate the common denominator of s and -35/2.
6
Suppose y = 33 + 17. Find the common denominator of 535/y - 0/(-1) and 115/24.
120
Let y = 1161/8 - 539/4. What is the common denominator of y and 9/4?
8
Let i(m) = -m**2 - 4*m - 1. Suppose 5*c + 10 = 0, -10 = 5*g + 3*c + 11. Calculate the least common multiple of 7 and i(g).
14
Calculate the common denominator of ((-41)/(-24))/((-15)/45) and 16/3.
24
Suppose 4 = 3*k + 22. Let b = k + 8. Calculate the lowest common multiple of 8 and b.
8
Suppose -r = 3*m - 5, 2 = 4*m + 2*r - 4. Suppose -t = -m - 1. Suppose -9 - 3 = -t*n. Calculate the lowest common multiple of n and 5.
20
Suppose -2*a + 42 = 4*h - 0*a, -3 = -h + 2*a. Calculate the smallest common multiple of h and 11.
99
Let c(f) = f**2 + 5*f - 2. Let k be c(-6). Suppose -28 = -4*x + 3*h, -4*x - k = h - 16. Calculate the least common multiple of 3 and x.
12
Calculate the least common multiple of 8 and (2 + -1)/((-9)/(-90)).
40
Suppose p = 2*f - 36, -2*p + 4*p - 18 = -f. Calculate the lowest common multiple of f and 30.
90
Let a(z) = -z**3 + 10*z**2 - 2*z - 27. Calculate the lowest common multiple of 36 and a(9).
36
Let m(k) = k**3 - 5*k**2 + 4*k - 3. Let a be m(4). Calculate the least common multiple of 2*1 - (-8 - a) and 7.
7
Let b be 255266/28 + -1 + 2. Let v = b + -9124. Find the common denominator of 4/(-11)*1/(-32)*4 and v.
154
Suppose 0*a + 74 = 4*d - 2*a, -5*a - 25 = 0. Let u = 4 + d. Find the common denominator of -19/20 and (-126)/u + (-4)/(-10).
20
Let v(h) = 2*h**2 - 4*h - 5. Let m be v(-2). Let g = -1 + m. What is the least common multiple of g and 1 + 3 + -2 + 14?
80
Let u(h) = h**3 + 5*h**2 - 5*h + 13. Calculate the lowest common multiple of u(-6) and 10.
70
Let c = -1 - -7. Let m(n) = -n + 8. Let y be m(3). Calculate the least common multiple of y + -2 - (0 + -11) and c.
42
Let x = -702619/6 - -117635. Let t(a) = -7*a**2 - 9*a - 7. Let m be t(8). Let s = x + m. What is the common denominator of -103/22 and s?
66
Suppose 2*h - 15 + 1 = 0. Suppose 0 = -2*t + 3*t - 3. Let z = t + 7. Calculate the lowest common multiple of z and h.
70
Let u(d) = d**2. Let i = 6 + -3. Let g be u(i). What is the smallest common multiple of 9 and g - (1 - (1 + 0))?
9
Let b = -10 - -16. Suppose 3*u + b = 4*u. What is the smallest common multiple of 6 and u?
6
Let l = -2 + 5. Let g(v) = 8*v - 2. What is the lowest common multiple of g(l) and 4?
44
Let r be 5409/(-10) + 8/20. Let t = r - -521. What is the common denominator of t and -113/14?
14
Let x = -5337/10 + 527. Find the common denominator of 141/120*30/(-12) and x.
80
What is the common denominator of (-66)/27 - (0 - -3) and 65/6?
18
Suppose 4*n + 0*n = 20. Suppose -q = -2*c, c - n - 4 = -4*q. What is the smallest common multiple of 8 and q?
8
Suppose 4*i + 4 = 2*f, 3*f + 2*i = -5 + 19. Suppose 13 = -f*v + 61. Suppose 0 = -5*x + 41 + 39. Calculate the least common multiple of v and x.
48
Let i be -4*(-1)/(-4)*-1. Let h = i + 1. Calculate the lowest common multiple of h and -1*3 - -2 - -7.
6
Suppose -s + 97 = -5*m, 55 = -4*m - 5*s - 40. Suppose -19 = 5*v + 251. Calculate the common denominator of 3 + (3 - v/m) and -127/6.
30
Suppose -4*u - 9 = 5*m, 6*u + 7 = -2*m + u. What is the common denominator of m + (-5)/((-20)/81) and 143/6?
12
Let j be 3 + 291/43 - 2. Let a = -195845/86 + j. Let q = 2316 + a. What is the common denominator of 57/7 and q?
14
Let u(s) = 0*s**3 + 5*s**2 + s**3 - 5 - 13 + 17 - 2*s. What is the lowest common multiple of u(-5) and 2?
18
Let o = -9 + 14. Suppose 3*h = o*h. Suppose 4*s = 2*w + 12, 5*w + 11 + 9 = h. Calculate the lowest common multiple of s and 7.
7
Suppose 0 = -5*q + 668 + 282. Calculate the smallest common multiple of q and 18.
1710
Find the common denominator of -20/3 and 4*(-405)/(-80) + (4 - 0).
12
Let u = 103121/14 - 7369. Find the common denominator of u and -3/4.
28
Let t(k) be the second derivative of -k**3 - 5*k**2 + 2*k. What is the smallest common multiple of t(-5) and 2?
20
Let a = -42237/16 - -2642. Find the common denominator of a and 103/12.
48
Suppose -f + 0 = -5. Suppose 43 = f*v + 3. Suppose 6 = -a + 24. Calculate the least common multiple of a and v.
72
Suppose -2*z + 5*z - 33 = 0. Let p = -6 - -9. What is the least common multiple of z and (2/p)/(1/3)?
22
Let o = 5 + -3. Let p = 1262/45 + -153/5. Calculate the common denominator of p and o/5 - (-336)/(-15).
9
Suppose -a = -v - 6*a + 50, -124 = -4*v - a. Suppose -2*h + v = 3*h. Let x = 45 - 41. Calculate the lowest common multiple of h and x.
12
Let k = -13 - -37. Calculate the lowest common multiple of 18 and k.
72
Suppose -4*w + 0*w + 80 = 0. Suppose 56 + 70 = 9*b. Calculate the smallest common multiple of b and w.
140
Suppose -3*w + 0*w + 147 = 0. What is the common denominator of (26/20)/(6/(-25)) and 1/(-2)*w/(-8)?
48
Let a = -424/127 - -36469/3810. Let l = 12247/12 + -1024. Calculate the common denominator of l and a.
60
Let q = 67539/8 + -8432. Let k = -103687/13130 + -4/1313. What is the common 