 1049993/69 + b. Let r = 2059/276 + k. What is the common denominator of r and -79/8?
8
Let z(u) = -14*u - 4. What is the smallest common multiple of 45 and z(-1)?
90
Let o(u) be the second derivative of u**3 + 4*u**2 - 34*u. Calculate the smallest common multiple of o(2) and 8.
40
Suppose 3*d - 162 = -5*h, -2*d + 0 = -8. Calculate the lowest common multiple of h and 12 + 0 - (-1 - -1).
60
Calculate the common denominator of -83/30 and 2*(-1)/(-264)*(266 + 8).
330
Let s(f) = -f**2 + 11*f - 18. Let g be s(9). Let z be g + (-2 - (-17774)/672). Let v = -415/21 + z. What is the common denominator of 71/8 and v?
16
Let v(m) = -5*m**3 - m**2 + 2*m - 2. Let l be v(1). What is the common denominator of (l/(-1 + 19))/(-10) and 49/18?
90
Let z(p) = -p**3 + 7. Let r be 0*(-2 + -4 + 7). Suppose -5*f + 7 + 28 = r. Calculate the lowest common multiple of z(0) and f.
7
Suppose 5*u = -b - 13, -5*b + u - 6*u = -35. What is the least common multiple of b and 12?
12
Suppose 0 = -11*q - 3*q - 630. What is the common denominator of 62/20*(-15)/q and 58/57?
570
Calculate the least common multiple of ((-3)/(-2))/((-87)/(-232)) and 12.
12
Let q(d) = d**3 - 14*d**2 + 2*d + 7. Let r be q(14). Suppose 3*o - 28 = -z + 4, 5*o - 2*z - r = 0. What is the least common multiple of o and 24?
72
Let f = -26 + 24. Let d be 8/f - 127519/56. Let v = -2273 - d. What is the common denominator of -11/4 and v?
8
Suppose -28 = -5*t + 52. Let o = t + -2. Suppose 0 + 6 = q. What is the lowest common multiple of o and q?
42
Calculate the common denominator of 11/198 - (1 + 4) and -19/33.
198
Suppose 9*j + 7*j = 1728. Calculate the least common multiple of (-2)/(1/2*(1 - 3)) and j.
108
Let b = 1234/3 + -432. Calculate the common denominator of b and 31/4.
12
Find the common denominator of (-548)/(-210) - (-7)/35 and 41/15.
105
Suppose 7*v - 132 = 3*v. Calculate the least common multiple of 88 and v.
264
Suppose -m + 2 = 5*a, -4*a = 4*m - 0 - 8. Suppose 3*k + a*k = 9. Suppose -10 = k*g - 8*g. What is the lowest common multiple of g and 10?
10
Suppose -g + 5*b = g - 85, 0 = b + 3. Suppose 0 = 2*a - 0*a - 6. Suppose g = 2*c + a. Calculate the least common multiple of c and 12.
48
Let b(r) = -16*r + 8. Let t be b(-1). Calculate the common denominator of 55/2 - 3/(-3) and 38/120 + t/18.
20
Let n = 39 - 6. Suppose -4*h + n = -3*h. What is the lowest common multiple of 6 and h?
66
Suppose -4*j + 6 = -h, -2*h - 2*h - 3*j = -71. Calculate the common denominator of 61/8 and (-674)/532 - 4/h.
152
Let w(s) = -6*s + 36. Let f be w(10). What is the common denominator of -131/18 and (-364)/f - 2/12?
18
Let a(u) = u**2 + 4*u - 7. Let m be a(-6). Suppose n - m*d - 13 = 0, 5*d + 9 = n + 2*d. Calculate the lowest common multiple of n and 4/(-8) - (-72)/16.
12
Let y = -3 + 17/8. Find the common denominator of y and 1/(-4) + (-408)/352.
88
Let d = -123 + 134. What is the least common multiple of (-8856)/(-136) + -8 - 4/34 and d?
627
What is the common denominator of 25/2 and ((-1104)/150)/((-1368)/20)?
1710
Let w be 1/2 + (-4 - 65/(-10)). Let y(h) = -h**3 + 3*h**2 + 3*h + 2. Calculate the smallest common multiple of 7 and y(w).
77
Let s(w) = -w**3 - 10*w**2 + 11*w + 6. Suppose -2*v - 18 = 2*m, 0 = -m + 2*v + v - 17. Calculate the smallest common multiple of 4/(((-16)/22)/(-4)) and s(m).
66
Let p(a) = a**3 - 3*a**2 + 4*a - 4. Let q = -28 - -35. Suppose -5*f - 31 = -s - s, q = 4*s + f. What is the least common multiple of p(s) and 11?
88
Let s = 52/45 + 1247/180. Find the common denominator of (12/(-144))/(1/98) + 3 and s.
12
Suppose 3818 = -5*u - 5*j - 1847, 5*j = 5. Let m be -7 - -7 - (-3431)/(-3). Let l = m - u. Find the common denominator of l and 41.
3
Suppose -15 = -8*r + 3*r. Suppose 8 = d + r*c, -3*d - c = -25 - 15. What is the least common multiple of 20 and d?
140
Let f be (-1)/(-2) - (-117235)/42. Let b = f - 2789. Find the common denominator of b and (-287*(-14)/147)/(12/9).
42
Suppose 6*b - 3*b - 5*q = -2, 30 = 3*b + 3*q. Calculate the common denominator of 373/366 - 4/b and -11/2.
122
What is the smallest common multiple of ((-27)/(-6))/((-27)/(-360)) and 45?
180
Calculate the lowest common multiple of 135 and (-91)/(-3) + (4/(-2))/6.
270
Suppose k - 15 = -s, -s - 1 = 2*k - 19. Suppose 0 = -2*n + 3 + 5. Suppose 68 = n*w + 4*x, 3*w - 5*x - 58 = -x. What is the least common multiple of w and s?
36
Calculate the lowest common multiple of (13/((-52)/(-48)))/((-7)/(-21)) and 216.
216
Let s = 22/129 - -3073/387. Let i = 1428359/5 + -861310172/3015. Let c = 4/603 - i. Calculate the common denominator of s and c.
9
Let m(t) = 2*t**2 - 17*t - 1. What is the lowest common multiple of 156 and m(9)?
312
Let p(l) = -l - 4. Let m be p(8). Let i = m - -14. Let r = -18 - -34. Calculate the lowest common multiple of i and r.
16
Suppose 72 = -3*g + 11*g. What is the smallest common multiple of 16 and g?
144
Let v(c) = -19*c**2 - 2*c + 16. What is the least common multiple of (-25)/(-2) - 2/4 and v(0)?
48
Let l = -84712815877/42172383 - 1/3833853. Let s = l + 4015/2. Find the common denominator of s and 73/30.
330
Let d be 4715/23950 + (6/10)/(-3). Let g = d + 42173/6706. Calculate the common denominator of -41/8 and g.
56
Let t(o) = -o**3 - 5*o**2 + 17*o - 28. What is the least common multiple of 2 and t(-8)?
28
Let y(v) = -2*v + 14. Let r be y(6). Suppose -m + r*m = 3. Calculate the lowest common multiple of 18 and (5/m)/(5/18).
18
Let l = -586 - -69149/118. Let u = -2541/472 + l. Find the common denominator of -23/11 and u.
88
Let r(h) = h**2 - h - 2. Suppose -3*i + 76*s = 71*s - 20, 2 = i + 3*s. Calculate the smallest common multiple of i and r(3).
20
Calculate the common denominator of 1/(86/10 + -2) and 350/(-480)*(-100)/14.
264
Calculate the common denominator of ((-26)/(-975))/(4/69) and -44/25.
50
Let j(s) = -s**3 + 18*s**2 - 20*s + 31. Let b be j(17). What is the least common multiple of 15*(-3)/(36/b) and 8?
200
Let x = -773837/40 - -19343. Let b = -256089/20 - -12801. Find the common denominator of b and x.
40
Let r = -188 + 190. Calculate the least common multiple of r and 10.
10
Let q = 20 - 18. Let z(p) = 0*p + 4*p - q*p. What is the lowest common multiple of z(4) and 3?
24
Suppose -3*l = -6, 2*n + 3*l + 5351 = 1161. Let s = 33617/16 + n. Find the common denominator of s and -11/20.
80
Let h = 738383/4 + -183585. Let r = h + -993. Find the common denominator of r and -47/4.
4
Let v = -1534 + 1544. Suppose 0 = 2*y + y - 3. Calculate the lowest common multiple of v and y.
10
Let d(t) = -2*t + 38. Let x be d(-17). Suppose -2*p = 3*f - 72, -3*f - 5*p = -0*p - x. What is the least common multiple of f and 36?
72
Let g = -118/9 - -295/36. Calculate the common denominator of -115/264 and g.
264
Suppose 3*s = 33 + 39. Calculate the lowest common multiple of s and 124.
744
Suppose -b + 4 + 1 = 0. Suppose 38*s - 248 = 778. Calculate the least common multiple of b and s.
135
Let j = -18/65 - -523/715. What is the common denominator of -8/27 and j?
297
Suppose 35*z + 150 = 30*z. What is the lowest common multiple of 10 and z/(-4)*(-24)/(-30)?
30
Suppose 0 = 4*z + 2*g - 30, 0*g + 6 = 2*g. Let n be (9/z)/(9/48). Suppose n = u + 1. What is the smallest common multiple of u and 1?
7
Let p be (3/(-15))/(4/10)*-70. Suppose 49*i = 54*i - p. What is the smallest common multiple of 7 and i?
7
Let j = 6715 - 53805/8. Let m = -25 - -27. What is the common denominator of j and ((-5)/80)/(m/(-148))?
8
Let v = 29 + -18. Calculate the smallest common multiple of (6/(-3)*5)/(-2) and v.
55
Let l(b) = -3*b**2 + 15*b + 20. Suppose 5*q - 14 = 4*o + 76, -5*q = -5*o - 115. Let c = -17 - o. What is the smallest common multiple of l(5) and c?
40
Let t = -5/757 - 50619/15140. Let n = -7691/5 - -123461/80. Calculate the common denominator of n and t.
80
Let p = 7 - 3. Let t(y) = 11*y - 1. Let w be t(1). Calculate the smallest common multiple of (2/(-4))/((-1)/w) and p.
20
Let v = -40077/20 - -2006. Let w = -2179 - -8719/4. Calculate the common denominator of w and v.
20
Let d be (4/18)/(318/18 + -5). Let k = d - 1331/57. What is the common denominator of 53/2 and k?
6
Let a = -425 - -491. What is the least common multiple of a and 88?
264
Suppose o - 3*b = 115, o - 5*b = -9*b + 80. What is the least common multiple of 2 and o?
100
Let