055/12. Calculate the common denominator of 137/6 and y.
12
Find the common denominator of 47/14 and (4/(-6))/((-12)/(-219)).
42
Let c(l) = 4*l - 1. Let r be c(1). Let v = r - -5. Calculate the least common multiple of v and 8.
8
Suppose 3*x + m = 29, 0 = x + 2*x + 5*m - 49. What is the lowest common multiple of x and 1?
8
Let m = 21 + -37. Calculate the common denominator of (53/(-3))/(30/9) and m/9 - (1 - -1).
90
What is the common denominator of 29/22 and ((-390)/100)/(18/55)?
132
Let l be -3 - (-2 - (-2 + 2)). Calculate the lowest common multiple of -5 - -7 - (l + 0) and 7.
21
Let r = -134 + 140. Let i = -4 - -10. Calculate the least common multiple of i and r.
6
Let p(u) = 2*u - 6. Let f be p(5). Let t(x) = x + 3*x**2 - 2 - f*x**2 - x**2 + 3*x**2. What is the lowest common multiple of t(3) and 2?
10
Let k = 14 + -8. Let d be (-3)/(-9) - 50/k. Calculate the common denominator of (66/(-16))/((-18)/d) and 97/4.
12
Suppose 2*k - 22 = 2*t, -31 = -k + t - 4*t. What is the least common multiple of 150 and k?
1200
Calculate the common denominator of 65/8 and ((-166)/4)/((-4)/(-1)).
8
Let o(c) = -10*c**2 - 33*c - 24. Let r(j) = 3*j**2 + 11*j + 8. Let g(m) = -2*o(m) - 7*r(m). Calculate the least common multiple of 1/2 - (-9)/6 and g(-7).
20
Suppose a = 2*a - 8. What is the least common multiple of a and 8?
8
Let v = -21041457/2369 + 8882. Let r = -310333/14214 - v. Calculate the common denominator of 606/14 + 6/(-21) and r.
6
Suppose -555 = 2*i - 159. Find the common denominator of 81/8 and (-465)/i - (-2)/(-3).
88
Let a = 129987557760791/3999497568738 + 2/1943390461. Let y = 1/1029 - a. Calculate the common denominator of y and 43/2.
2
Suppose 4*o + 2 = q - 6, -18 = -2*o - 5*q. Let x be -17 - (2 + 0 + o). Find the common denominator of (2/(-24))/(x/1308) and -45/2.
18
Let l be (-6)/(-2*(-3)/(-4)). Suppose l*h - 16 = -0. Calculate the lowest common multiple of h and 16.
16
Let c(a) = -a**3 - 2*a**2 + 6*a + 3. Let w = 7 - 11. Calculate the lowest common multiple of 11 and c(w).
11
Let c be 2/(-6) + (-64)/11. Let y be (-2)/4 - (-435)/(-33). Let n = c + y. What is the common denominator of n and 77/20?
60
What is the common denominator of (-398)/(-84) + 18/(-189) and -5/26?
182
Let j be (20/8)/(2/4). Suppose 2*g - 4*g = 0. Suppose n - 13 - j = g. What is the lowest common multiple of n and 10?
90
Let z be (-2 - 2)*9/(-6). Suppose 5*t = l - 30, -z*l + l - 2*t = -42. Calculate the least common multiple of l and 4.
20
Let u(j) = 1228*j - 6. Let b be u(-6). Let c be (b/(-30))/(2/3). Let i = 20491/55 - c. Find the common denominator of i and 93/8.
88
Suppose -3*j = -0 - 42. Calculate the smallest common multiple of 20 and j.
140
Let z(a) = 4*a**2 - 3*a + 3. What is the smallest common multiple of z(1) and ((-1)/(-2))/(4/160)?
20
What is the common denominator of ((-13)/(-5))/((-144)/440) and 43/8?
72
Suppose b - 4*b + 105 = 0. Suppose 0 = 3*m + 2*f - 20, -5*m - 7*f + 2*f + b = 0. Calculate the least common multiple of m and 2.
6
Let l = 8 - 6. Let i be (-3)/9 - (-30)/9. Suppose f - 3 - i = 0. Calculate the least common multiple of f and l.
6
Let z(j) = 17*j - 62. What is the smallest common multiple of z(6) and 30?
120
Suppose -2*j - 3*p = 7, -2*p - 27 = 4*j + 7. Suppose -g = -2 - 4. What is the smallest common multiple of (j + 2 - 0)/(-1) and g?
18
Let i(g) = -g**3 - 5*g**2 - 2*g - 5. Let h be i(-5). What is the common denominator of 8/20 - 39/15 and (15/18)/h*-4?
15
Let p = 3206371/6 - 531693. Let r = p - 2716. Calculate the common denominator of 93/28 and r.
84
Let s(u) = u**3 - 12*u**2 - 2*u + 28. Calculate the least common multiple of 6 and s(12).
12
Let a = -30 + 31. Suppose 3*s - 12 = 12. Calculate the smallest common multiple of s and a.
8
Let d = -15 - -17. Suppose 5*a - d = 2*b - 5, -5*a = 2*b - 33. Let k(y) = y**2 - 6*y + 7. Calculate the smallest common multiple of b and k(6).
63
Let o = -133823/5462 + 2/2731. Calculate the common denominator of ((-26)/36)/(2 - 1) and o.
18
Let u be 1/(-5) + 62/10. Calculate the least common multiple of 75/u - (-2)/(-4) and 10.
60
Suppose -495 = -17*v + 2*v. What is the lowest common multiple of 45 and v?
495
Suppose 7 = z - 1. Calculate the smallest common multiple of 8 and z.
8
Let w be 3*(-3)/(-6)*-2. Calculate the smallest common multiple of 9 and 24/w*3/(-2).
36
Let t be 10/((56/(-228))/(-7)). Find the common denominator of ((-1)/(-5))/(2/t) and 2/33*(-390)/8.
22
Let p be (1/(-2))/(517/32797978883). Let m = p - -31719518. Let c = m - 92/47. Calculate the common denominator of c and -23/16.
176
Let o = -92 + 253/3. Let l = -164/21 - o. Let d = -175/66 + 41/6. What is the common denominator of l and d?
77
Suppose 4 = -3*f + 10. What is the common denominator of -39/8 and (-2325)/40*f/(-5)?
8
Suppose 0*i - 25 = -5*i - 2*h, -4*i - h = -20. Let y(a) = a**2 - 7*a + 6. Let t be y(i). Find the common denominator of (t/24)/(1/(-15)) and 127/6.
6
Let v(q) = -q**3 + q**2 - q - 4. Calculate the lowest common multiple of v(-2) and 6.
30
Let a = 6 + 3. Let x be (-6)/21 - (-30)/7. Suppose -x*q - 25 = -9*q. Calculate the smallest common multiple of q and a.
45
Suppose 3*k - 6 - 16 = -m, 5*k + 4*m - 32 = 0. Calculate the least common multiple of k and -2*(4/10)/(7/(-35)).
8
Calculate the common denominator of (4 - -299)*2/24 and 23/8.
8
Let m = -1006/7 - -22279/154. Suppose 15*g - 12*g + 216 = 0. What is the common denominator of m and 58*(-15)/g + -3?
132
Let d = 19 + -13. Let n be 66/6 + (0 - 1). Suppose 9*w - 4*w - n = -3*c, w + 44 = 4*c. Calculate the lowest common multiple of d and c.
30
Let g = 7/254 + -4889/2286. What is the common denominator of g and -12/7?
63
Let u(b) = -2*b - 2. Let o be u(5). What is the common denominator of (4/10)/(o/123) and 19/9?
90
Suppose 4*o - 4 = 60. Suppose -5*m - 15 = 0, -2*k + 32 = -m - 15. Calculate the least common multiple of o and k.
176
Let f = 13 - -119. Calculate the lowest common multiple of 14 and f.
924
Let a(x) = -2*x**3 - 2*x**2 - x - 2. What is the lowest common multiple of 2 and a(-2)?
8
Let a = -1660 - -18208/11. What is the common denominator of a and -40/3?
33
Let p = -2281/540 - 116/135. What is the common denominator of p and 45/(-10) - (0 + 2)?
12
Let a(r) = r**3 - 7*r**2 + 6*r - 5. Let l be a(6). Calculate the lowest common multiple of 14 and 3 + -1 - -1 - l.
56
Let y = 11 + -6. Let q be (-4)/(-22) - ((-2115)/(-33))/(-5). Let i = q - y. Calculate the least common multiple of i and 6.
24
Suppose 5 = 4*n + 5*y, -n + 5*y - 2 + 22 = 0. Let l = n - 1. Suppose l + 5 = f. What is the lowest common multiple of 6 and f?
18
Let n = 6589 - 395363/60. What is the common denominator of n and 123/10?
60
Let g(m) = -m - 6. Let l(k) = 2*k - 1. Let d be l(-4). Calculate the lowest common multiple of g(d) and 8.
24
Let n(u) = -u**2 - 6*u. Let z be n(-7). Let r = 8 + -9. Let b = r - z. What is the least common multiple of b and 10?
30
Let u(v) = -v**2 - 10*v + 7. Let z be u(-10). Suppose 24 = 4*m + 2*f - z*f, -16 = 4*f. Find the common denominator of m and 4/3.
3
Let h = 9722019 - 75675131/8. Let g = h - 263201. Let u = g + 567. What is the common denominator of u and -89/16?
16
Let h(d) = d**3 + 7*d**2 + 6. What is the lowest common multiple of h(-7) and 6?
6
Let k = 18 + -8. What is the lowest common multiple of (-62)/(-8) + (-1)/(-4) and k?
40
Let r = -5/3927 - -64525/7854. What is the common denominator of -1*2/8*-18 and r?
14
Let u = 9 + -25. Let x = u - -26. Let i = 18 - x. Calculate the smallest common multiple of 4 and i.
8
What is the common denominator of 5 - ((-15)/(-80) - -3) and 41/16?
16
Suppose -5*h = 3*y - 35, 5*y - 3*y - 17 = 3*h. What is the lowest common multiple of 11 and y?
110
Let t = -2 + 22. Let x = 20 - 0. Calculate the least common multiple of t and x.
20
Suppose 0 = 8*c - 11*c + 9. Calculate the smallest common multiple of 5 and c.
15
Let x be -2*(-4)/(16/30). Let l be (55/x)/(1/3). Let h = 17 - l. Calculate the least common multiple of 2 and h.
6
Let s = 25769/6970 + 2/697. What is the common denominator of -27/16 and s?
80
Suppose -h + 3*h = -3*b - 79, 0 = -5*h + 4*b - 209. What is the common denominator of 64/3 and h?
3
Let z = -5 - -7. Let r = z - -6. What is the least common multiple of r and 22?
88
Let b = -30 - -17. Let x = -11 - b. Calculate 