5. Let x = -700 + m. Let l = -539/3 - -11011/60. What is the common denominator of x and l?
20
Let b = -415075/79479 - -2/8831. Let x = 4904/7 + -704. Find the common denominator of b and x.
63
Let h = -52757/8 - -6584. Calculate the common denominator of -57/16 and h.
16
Suppose -4*g - 43 = -139. Let z be 0/(-1 + -1 + 1). Suppose -f = -z*f - 22. Calculate the smallest common multiple of f and g.
264
Suppose -10*a + 7*a + 1536 = 0. Let v = a + -3053/6. Calculate the common denominator of v and -91/2.
6
Suppose 9*h + 12 = -348. Calculate the lowest common multiple of 3 + ((-48)/h)/(2/5) and 10.
30
Let n(m) = -5*m**3 + 11*m**2 - 3*m + 12. Let l be n(-7). Let k = l + -22891/10. What is the common denominator of k and 89/8?
40
Suppose -8*f + 51 = -3*f - 3*l, f - 18 = -2*l. What is the lowest common multiple of f and 1230?
2460
Calculate the common denominator of 45/8 and -14 + (-440)/(-33) - (-337)/834.
1112
Let q = 63069 - 12235359/194. Find the common denominator of -13/14 and q.
1358
Suppose -5*n - o = o - 55035, 3*o = 3*n - 33042. Let u = 286333/26 - n. Calculate the common denominator of u and -101/8.
104
Suppose 2*v + 25 = 5*q, -7*v + 2*v + 5 = q. Suppose v*h + 3*h = 6. Let u = h - -3. Calculate the lowest common multiple of u and 9.
45
Suppose -z + 240 = z. Calculate the least common multiple of z and 48.
240
Let f = -9/4442 - -171701/337592. What is the common denominator of f and 143/18?
1368
Let x(u) = -2*u**2 - 100*u - 78. What is the lowest common multiple of x(-49) and 18?
180
Suppose 5*w - 65 - 30 = 0. Suppose 0 = -s - 4, c - 5*s - 5 = 2. Let t = w + c. What is the lowest common multiple of t and 6?
6
Let d = 53 + -47. Suppose 0 = 3*t - 5*w - 324, -5*w + 3*w + 200 = 2*t. Calculate the common denominator of t/d + (-5 - -3) and 63/20.
60
Let r(q) = -22*q**2 - 4*q - 1. Let m be r(-3). Let v = m - -1311/7. Find the common denominator of 1/(-4) - (791/(-84) - -7) and v.
42
Let d(b) = b**3 - 10*b**2 + 10*b - 5. Let l(k) = 4*k**2 + k - 2. Let x be l(-2). Let u = -3 + x. Calculate the smallest common multiple of d(u) and 5.
20
Let j = 32344 + -970417/30. Find the common denominator of -97/12 and j.
60
Suppose 3*z = -5*r - 3, -71*z + 74*z = -3*r + 3. Suppose 5*h - 25 = -3*a, a = -1 - 4. What is the smallest common multiple of h and z?
8
Let d = -56 - -62. Suppose 43 - 25 = d*u. What is the smallest common multiple of 11 and u?
33
Calculate the lowest common multiple of 11 and 62/8 - (-4 + 30/8).
88
Suppose -7*c + 6 = -5*c. Let g(d) = 3*d + 8 - 3 - d - 3*d. Calculate the smallest common multiple of g(c) and 5.
10
Let d(u) = 11*u**3 - 10*u**2 + 3*u + 9. Let v be d(-7). Let i = 60157/13 - 1389265/156. Let y = v - i. Calculate the common denominator of -137/12 and y.
12
Let b be (-1513)/3*(-15)/(-20). Let f = b - -4249/12. Calculate the common denominator of f and 85/32.
96
What is the common denominator of 17/672 and ((-10)/(-8))/((-1604)/104 - -15)?
7392
Let i(g) = -g**3 - 17*g**2 + 19*g + 24. Let t be i(-18). Suppose 0 = -3*q - 5*c - t, 4*q + q = 4*c + 27. Calculate the lowest common multiple of 11 and q.
33
Suppose -x + u = -51, 2*x + 151 = 5*x - 2*u. Suppose w = -2*s + x, -s - 3 = -5*w - 0. Let k = 0 + 2. Calculate the lowest common multiple of k and s.
22
Let j(b) = 3*b + 2*b**2 - 3*b + 2*b + 2. Let k(l) = 2*l**2 - 6*l + 6. What is the lowest common multiple of j(-2) and k(4)?
42
Let k = 1505/2 + -13627/18. Find the common denominator of (-58)/5*(-8 + 161/21) and k.
45
Calculate the common denominator of (-219)/36 + (-2)/3 and (-3)/(-24) - 12501/648.
12
Let x = 10 + -6. Calculate the lowest common multiple of 8 and x.
8
Let a = 4 + 1. Suppose -5*h + 29 = b, -4*h - a + 27 = 2*b. Calculate the smallest common multiple of 6 and h.
6
Suppose -1 - 3 = -2*x. Suppose -x*j - 13 = -37. What is the smallest common multiple of 392/32 - 2/8 and j?
12
Let j(d) = d**2 + 6*d + 17. Suppose 23*s + 21 = 24*s. Calculate the smallest common multiple of j(-3) and s.
168
Let l(m) = -m**3 - 3*m**2 - 6*m - 2. Let x be ((-3)/9)/(3/18). What is the lowest common multiple of 4 and l(x)?
12
Suppose 0*a + 3 = u + 3*a, 0 = -5*u + a - 49. Let t = 3/3142 - -24343/7855. What is the common denominator of u and t?
10
Let d = 322 - 280. Calculate the least common multiple of d and 66.
462
Let r = 1260 - 12483/10. Suppose 0 = 2*v + 3*m + 94, -3*v + 8*m - 158 = 4*m. Calculate the common denominator of r and v.
10
Let w be 4553/((-13)/(13/20)). Let o = 228 + w. What is the common denominator of 11/28 and o?
140
Let i = -2953254/128909 + 6/11719. Let j = -272/33 - i. Let n = -182 - -1640/9. Find the common denominator of n and j.
9
Suppose 2*m - 19 = 5. Suppose 3*f = f + m. Let p = -5 - -25. What is the lowest common multiple of f and p?
60
Let z be (-12)/(2 - (-80)/(-36)). Calculate the common denominator of ((-6)/z)/((-4)/(-246)) and 355/(-210) - 1/(-3).
42
Suppose 64*a = 91*a - 3780. What is the smallest common multiple of a and 42?
420
Let c = 51145/6 - 8544. Calculate the common denominator of c and ((-13)/(-6))/((-3)/5).
18
What is the common denominator of -44/151 and 9/84*(-210)/4?
1208
Suppose 3*v + 19 = 22*v. Calculate the least common multiple of 8 and v.
8
Let c = 294 + -284. Let m(j) = j**2 + 4*j - 1. Let r be m(-5). Suppose -10 = -r*z + c. Calculate the smallest common multiple of 2 and z.
10
Let z = 12074 - 289697/24. Find the common denominator of 161/30 and z.
120
Let s = 160579/16 + -10033. Find the common denominator of s and 23/108.
432
Let q(m) = m**2 + 12*m + 20. Let r be q(-10). Suppose 8*h - 2*h - 18 = r. Suppose h*g + g = 32. Calculate the smallest common multiple of 5 and g.
40
Suppose 3*x + x - 22 = -2*d, 5*x + 2*d = 25. Suppose -2*j = -2*t + x*t, 4 = -t. Find the common denominator of 2/(-4)*-21 + j and 73/4.
4
Let j = -2262819/11 + 204755. Let q = j - -960. What is the common denominator of q and -14/9?
99
Let f(r) = -56*r - 14. Let m be f(-2). Let a = m - 87. What is the smallest common multiple of -4*((-30)/8 - -1) and a?
11
Suppose 0 = j - 4*j + 12. Suppose -j*h - h = 35. Find the common denominator of 43/9 and (3/h)/(4/60).
63
Let s = 21 - 17. Suppose r - 2 = 3. Calculate the least common multiple of r and s.
20
Suppose -v + n = -3*v + 7, 1 = -n. Suppose -k + 20 = v*k. What is the smallest common multiple of (4 + -7 + k)*7 and 9?
63
Let m = 152713/570 + -4972/19. What is the common denominator of m and (-12)/80*(-1300)/(-144)?
240
Suppose -5*x + 20 = -o, 2*x - o - 5 = -0*x. Suppose -x*w + 63 + 117 = 0. Let h(n) = 8*n. What is the least common multiple of w and h(1)?
72
Let l be 10 - ((-30)/2)/5. Let j = l + -11. Suppose -72 = j*t - 4*t. What is the smallest common multiple of 5 and t?
180
Let v = -1009 + 1017. Calculate the least common multiple of 268 and v.
536
Let v = 30086 - 1023023/34. Find the common denominator of 125/6 and v.
102
Let c = 19467/6613 + -1/389. Calculate the common denominator of c and -35/153.
153
Let s(z) = -z + 1. Let g(b) = 9*b + 3. Let i(t) = -g(t) + 2*s(t). Let w be i(-2). Calculate the smallest common multiple of (4/6)/(2/w) and 8.
56
Let p(u) = -2*u**3 - 7*u**2 + 3*u - 2. Let s be p(-4). Suppose -s*w + 33 = 21. Calculate the least common multiple of 4 and w.
12
Let t(n) = 3*n + 6 + 0 - n**3 + n**2 - 2*n. Suppose -5*s + 2*k + 0*k = 8, -s + 5*k = 20. Calculate the lowest common multiple of 12 and t(s).
12
Suppose 189 = -0*w + 3*w. What is the lowest common multiple of 49 and w?
441
Let h(j) = j**2 + 2*j. Let u be h(-2). Suppose u = -6*c + 3*c + 6. Suppose -3*y - 6 = 0, -4*a + 12 + 20 = c*y. What is the least common multiple of a and 10?
90
Let q = 2 - -110. Calculate the least common multiple of q and 2.
112
Let b = 120 - 47. Let t = -57 + b. Calculate the lowest common multiple of t and 6.
48
Calculate the common denominator of -69/10 and (53/(-76) + 0)*18/(-126).
2660
Let b = 101089/10 + -10097. Let s(k) = k**2 + k + 1. Let r(i) = -2*i**2 - 4*i - 1. Let y(v) = -2*r(v) - 6*s(v). What is the common denominator of y(5) and b?
10
Let a = 373151/22 + -16957. Let f = 199/8 - 117/8. Calculate the common denominator of f and a.
44
Let m(u) = -u**3 - 2*u - 2. Let h(k) = -12*k - 496. Calculate the lowest common multiple of h(-45) and m(-2).
220
Let x = -14713/382 - -3/191. Let n = -47275/198 - -2119/9. What is the common d