ppose -2*r = 3*b - u, 2*b + 80 = -r + 6*r. What is the lowest common multiple of 14 + (1/5 - (-54)/30) and r?
16
Find the common denominator of 202/(-84) + (-6)/(-18) and ((-23)/(-36))/((-1)/(-2)).
126
Suppose -4*q + x = 5, 5 = -q - x - 0*x. Let u be (1 + -3)/q*17. Let c = -6 + u. What is the smallest common multiple of 11 and c?
11
Let k = 5 + -3. Suppose 2*u + k*u = 5*g - 204, 3*g = -4*u - 236. Calculate the common denominator of (-10)/(-5) + u/(-18) and -57/8.
72
Suppose -2*n = -5*n - q + 38, -3*n = -4*q - 13. Let t(o) = o**3 - 10*o**2 - 8*o - 15. What is the lowest common multiple of 14 and t(n)?
126
Find the common denominator of (-226)/96 + 1 - (-3)/(-6) and 19/22.
528
What is the common denominator of -3 - -5 - 16/18 and (-1)/(-4) + 602/(-24)?
18
Let v(d) = -d**3 + 6*d**2 - d - 19. What is the smallest common multiple of 13 and v(5)?
13
Let q = 330228 - 2315823/7. Let a = q + 40743/28. Let f = -859 + a. Find the common denominator of 35/4 and f.
4
Suppose -4 = 14*n - 15*n. Calculate the lowest common multiple of 2 and n.
4
Suppose 0 = 4*o + 12, -5*o + 0 = -u + 17. Let z = -593 - -3023/5. What is the common denominator of z and (-627)/63 - u/(-7)?
15
Suppose -3*l = 0, 0*u - 4*l = 2*u - 6. What is the least common multiple of 4 and u?
12
Let o = -71/297 - -4/27. Calculate the common denominator of -5/11 and o.
11
Let b = 5484 + -33001/6. What is the common denominator of 1/10 and b?
30
Calculate the common denominator of (-237)/(-54)*-2 + -1 + 4 and -56/11.
99
What is the lowest common multiple of 12 + 5/(-10)*(10 - 2) and 44?
88
Let j = 1440/13 - 9407/78. What is the common denominator of j and -31/6?
6
Let k be (-3780)/(-7576) + (-2)/4. Let m = k + -57749/17046. Calculate the common denominator of ((-30)/36)/(4/(-14)) and m.
36
Let y(n) = n**2 + 10*n + 14. Suppose 0 = 6*f - 306 + 54. What is the lowest common multiple of y(-10) and f?
42
Suppose -6*k = -k - 20. Suppose -k*m - 4*q = -32, 4*m - 2*m - 2*q = 8. Calculate the lowest common multiple of m and 10.
30
Let q = 9 + -2. Calculate the least common multiple of 9 and q.
63
Let p = -182/19 - -1269/190. Find the common denominator of p and 93/4.
20
Let c = 24 - 8. Find the common denominator of 941/144 + c/(-72) and (2/(-14))/(36/1414).
144
Let r = 2455/484 + -3/3388. What is the common denominator of r and -15/14?
14
Let n = -1620/7 + 1667/7. Find the common denominator of 13/4 and n.
28
Suppose -3*n - 9 = -6*n. Calculate the lowest common multiple of n and 1.
3
Let o(a) = -42*a**2 - 9*a - 2. Let y be o(7). Let z = y - -12881/6. Calculate the common denominator of -35/4 and z.
12
Let l = -1 + 10. Calculate the smallest common multiple of l and 5.
45
Let l = -5799/29 + 200. Let g be 4782/(-2436) - (-1 - 1). Let q = g + l. What is the common denominator of -37/16 and q?
112
Find the common denominator of 660/(-121) + (-2)/(-1) and -22/5.
55
Let j(o) = -o**3 - 6*o**2 - 8*o + 1. What is the least common multiple of j(-5) and (-15)/((-1)/((-2)/(-3)))?
80
Let x(g) = 6. Let k(t) = -t + 1. Let v(c) = 3*k(c) - x(c). Calculate the least common multiple of v(-3) and 9.
18
Let w(a) = -3*a - 1. Let s(i) = 8*i + 2. Let b(q) = -5*s(q) - 12*w(q). Let k be b(5). What is the lowest common multiple of ((-48)/k)/((-2)/(-3)) and 7?
28
Let x(d) = -d**3 + 4*d**2 - 5*d - 4. Let n be x(5). What is the common denominator of (-2)/8 - n/4 and 5/(48/(-117)*-3)?
16
Let x = 10019389139/630 - 15903786. Let j = x - -74/45. Calculate the common denominator of j and (6/28)/(4/14).
28
Suppose -3*d = -2*a - 2, -4*a + 3 - 7 = -5*d. Find the common denominator of (10/8 - 1) + 16 and -262*(-1)/24 - a.
12
Let u be ((-4)/18)/(137/12). Let o = 39947/4110 + u. What is the common denominator of o and (-4)/10 - 749/(-60)?
60
Let t(c) = -c - 14. Let o be t(-12). Let f(q) = -2*q**3 - q**2 + q. Let r = 30 + -12. What is the smallest common multiple of f(o) and r?
90
Let h(f) = -f**2 + 3*f + 3. Let u be h(3). Suppose -u*w - 11 = -41. What is the least common multiple of 7 and w?
70
Let h = 131575216387/2385 - 55167804. Let d be (-2)/159*(-6)/(-40). Let j = d + h. Find the common denominator of 5/22 and j.
198
Let h = -9 - -7. What is the smallest common multiple of (-3 + (-15)/(-6))*h and (-54)/(-8) - 1/(-4)?
7
Let c be ((-3)/(-2))/((-18)/(-48)). Suppose 1 = -o - 4, -c*q - 3*o = -73. Calculate the least common multiple of q and 8.
88
Suppose 0 = -6*g - 112 - 32. Calculate the smallest common multiple of 6 and 27/12*g/(-9).
6
Let x(h) = 3*h - 11. Let t be x(9). Find the common denominator of (12/(-3))/t - -22 and -29/10.
20
Let a be (-4)/6*(-9)/6. Let j be 37 - -1 - 2*a. Find the common denominator of -16/7 and 6/(-8) - (-321)/j.
42
Let j be (8/(-940))/((-63)/(-30)). Let b be 0/2 + 17590/43428. Let u = b - j. What is the common denominator of 103/18 and u?
198
Let w = 28/3 - 6. Find the common denominator of w and 47/9.
9
Let u = 1 + 5. Let n(o) = -o**3 - 16*o**2 + 16*o - 2. Let d be n(-17). Let q = 21 - d. Calculate the lowest common multiple of u and q.
6
Let j = -164037/14 - -11725. What is the common denominator of j and 19/16?
112
Let d = 11 - 5. Let w be (2/d)/((-2)/6). Let h = w - -5. What is the least common multiple of 10 and h?
20
Let j be 4/(-3) - 2/(-6). Let t be 0*(1 + 0)*1. What is the smallest common multiple of t + 1 + (-6)/j and 8?
56
Let t = -15 + 11. Calculate the common denominator of (t/80)/((-2)/145) and 29/20.
40
Let d(z) = -4991*z. Let v be d(-1). Suppose -16606 - v = 3*h. Let l = -57517/8 - h. Calculate the common denominator of -52/5 and l.
40
Let m(w) = 3*w**2. Let y be m(-2). Suppose -y = -3*z + 6. What is the smallest common multiple of z and ((-3)/(-2))/((-3)/(-10))?
30
Let c(b) = -b**3 - 3*b**2 - 2*b. Let q be c(-2). Suppose q = -9*k + 6*k + 12. What is the least common multiple of 4 and k?
4
Let f = -95 + 105. Calculate the least common multiple of f and 20.
20
Suppose 0*t - 360 = 2*t. Calculate the common denominator of (-1526)/t - 2/(-9) and (-2)/(-8) - (-843)/36.
30
Let y = 10 - 6. Let d = 3399/20 - 170. Find the common denominator of (y/160)/((-4)/10) and d.
80
Let x = 19/314 - 8623/1099. Let r = 1601/140 + x. What is the common denominator of 145/6 and r?
60
Suppose 0 = -3*g - 30 + 18. Suppose 21 = 3*l - 9. Calculate the lowest common multiple of l and (g + 1)/(15/(-25)).
10
Let c = 28 + 6. What is the lowest common multiple of 14 and c?
238
Let b(v) = v**3 - 4*v**2 + 4. Let x be b(4). Suppose -x*k - 20 = -5*k. What is the least common multiple of k and 16?
80
Let p = -3932 + 15639/4. What is the common denominator of p and -4*8/132*12?
44
Suppose -129 = 8*y - 4*y + r, 75 = -2*y + 3*r. Let h = 47 + y. Calculate the smallest common multiple of 20 and h.
140
Let j = 6 - 4. Suppose -4*z = 5*v - 22, -5*z + 2*v + 0*v = -11. What is the smallest common multiple of j and z?
6
Let t = 4/39 - -3065/156. Let m = -2/605 + 10321/10890. Find the common denominator of m and t.
36
Let d be (-25)/20*164503/20. Let b = -10278 - d. Calculate the common denominator of b and -107/12.
48
Let v = -2269/10 - -233. Calculate the common denominator of v and 980/24 - (-2)/3.
10
Let u = 9 - 7. What is the lowest common multiple of 4 and u?
4
Let s be (-47 - -4)/(-2 - -1). Suppose -5*g - 3*o + s = -0*o, 1 = o. What is the smallest common multiple of 6 and g?
24
Let s(m) = -m**2 - 2*m - 9*m - 4*m - 14 + 3*m. Let u be (-78)/8 + (-1)/4. Calculate the lowest common multiple of 3 and s(u).
6
Suppose 0*r + 31 = 3*n + 2*r, 2*r - 49 = -5*n. Let u = 62 + -59. What is the lowest common multiple of n and u?
9
Suppose 2*h + 3*h - 50 = 0. Let g = 16 - 2. Calculate the least common multiple of h and g.
70
Suppose 2 = -5*w + 12. Let g be (-1)/(-3 + w)*8. What is the smallest common multiple of (g/(-20))/((-2)/50) and 10?
10
Suppose -3*w + 78 = 3*p, -2*w + 85 - 31 = 3*p. Calculate the lowest common multiple of w and 12.
24
What is the common denominator of -19/6 and (-1539)/(-315) + (-4)/14?
30
Let p(y) = -y**3 + 7*y**2 - y + 6. Let s be p(6). What is the smallest common multiple of (s/10)/(4/20) and 14?
126
Suppose 2*a + 2*a - x + 8 = 0, 0 = -3*x - 12. Calculate the least common multiple of 3 and 102/10 - a/(-15).
30
Suppose -57*m + 56*m = -32. Calculate the least common multiple of m and 8.
32
Let d = -15/26 - 10/39. Let y be (6/(-8))/