et j = -15790/9 - -237032/99. Let o = j + -642. Calculate the common denominator of o and m.
55
What is the common denominator of -39/4 and -3 - (-492)/40 - -3?
20
Let p = -155498792/391237 + -12/35567. Let u = 396 + p. What is the common denominator of 97/6 and u?
66
Let l = -47 + 57. Let r = -11 - -33. Calculate the least common multiple of r and l.
110
Calculate the smallest common multiple of 16 and (-6)/(-2) + 6 - 1.
16
Suppose 2*i + 40 = 3*d, d + 0*d + 4*i - 18 = 0. Calculate the lowest common multiple of d and 12.
84
Suppose 0 = -4*j - 0 + 4. Suppose 6*c = -652 - 1094. Find the common denominator of j + (-1)/((-6)/c) and 79/22.
22
Let i = 2 + 1. Suppose -3*x - 6 = i*a, -5*x + 4*a + 0 + 8 = 0. Suppose -o - 4*h - 10 = x, -2*o + h + 3 = -13. Calculate the lowest common multiple of 6 and o.
6
Let r(s) = -s**2 - 3*s - 1. What is the common denominator of -62/9 and r(-5)?
9
Suppose 0 = -p - 2*p. Suppose 5*r - 4*v + 188 = p, -v - 100 = 3*r + 6. Find the common denominator of (-681)/r + (-4)/6 and 125/18.
36
Suppose -4*x + 13 = -43. What is the lowest common multiple of x and (2/5)/(27/(-45))*-12?
56
Let b = -2/8201 + 483867/32804. Let d = 84839977/66 + -1285480. Let m = d + -56/33. Calculate the common denominator of m and b.
4
Let i(n) = -3*n + 2. Let h be i(-2). What is the least common multiple of 22 and (3/2)/(3/h)?
44
Suppose 0 = -2*j - 0*j - 936. Let t = 15440/33 + j. Let h = -61/231 - t. Calculate the common denominator of -11/9 and h.
63
Suppose 0 = -0*b + 3*b. Let z = b + 14. Calculate the least common multiple of z and 2.
14
Let i = -3935/114 - -412/19. Find the common denominator of i and -32.
6
Suppose -q + 8 = 4. Suppose -7 = -x - q. Suppose 0 = -x*h - 2*h + 20. Calculate the lowest common multiple of 5 and h.
20
Calculate the least common multiple of (5/((-5)/2))/3*-3 and 22.
22
Let x(m) = -3*m**2 + 5*m + 6. Let f be x(-5). Let r = 159/2 + f. Let i = 846 - 15209/18. Find the common denominator of r and i.
18
Calculate the common denominator of 125/6 and (57/16)/(3/(-2)).
24
Suppose 5*b + 0*b + 20 = 0. Let x(k) = -6*k + 2. Let v = -5 - -13. Calculate the common denominator of v and x(b).
1
Suppose -2*y + 76 = y + 2*k, -4*k + 12 = y. Find the common denominator of -35/6 and 166/y + (-21)/(-49).
42
Suppose 3*x + 23 = 4*i - 9, -4*i - 2*x = -32. Calculate the smallest common multiple of 12 and i.
24
Let t(g) = -g**3 + 6*g**2 + 2*g - 3. Suppose l = -l + 8. Suppose -3*f + l = i - 2*f, -4*f + 4 = i. Calculate the lowest common multiple of t(6) and i.
36
Let m(q) = 4*q**2. Let s be m(3). Suppose -2*h + 34 + s = 0. Suppose -a + 3*a = -4*v + 30, 4*v = -3*a + h. Calculate the lowest common multiple of 1 and v.
5
Let c be (-4)/(-2)*(3 + 1082). Let x be (-2)/11 - c/(-77). Suppose 4*r - 2*m = 3*m + 46, -4*m + x = 4*r. Calculate the smallest common multiple of 1 and r.
9
Let v(o) = o**3 - 4*o**2 - 2*o - 7. Let j be ((-1)/(-2))/((-3)/(-24)). Suppose 0 = j*h - 0*h - 12. What is the lowest common multiple of h and v(5)?
24
Let i(m) = 422*m - 1. Let p be i(11). Let c = p + -37073/8. Calculate the common denominator of 31/7 and c.
56
Suppose -3*i + 5*i = -2*j + 30, 4*j + 2*i = 70. What is the smallest common multiple of j and 12?
60
Let g be (-3 + 43)*-1*1. Let t be (-256)/g - 2/5. Suppose 7*f = -3*j + t*f + 51, f = j - 13. Calculate the lowest common multiple of 22 and j.
176
Suppose -4*p = 3*o + p + 7, 5*p = -2*o - 13. What is the least common multiple of o and 10?
30
Suppose 0*x + 30 = x. Let n = -19 + x. Calculate the smallest common multiple of 8 and n.
88
Let n = 41 - 57. Let t be 51*(-2 + n/(-6)). Suppose 14 = 3*b - t. What is the least common multiple of b and 4?
16
Suppose 0 = l + 6*l - 28. Calculate the least common multiple of 4 and l.
4
Let i(u) = u**3 - 3*u**2 + u - 2. Let c be 4*((-22)/(-8) - 2). What is the least common multiple of 2 and i(c)?
2
Let c = 282 + -3098/11. Find the common denominator of c and 73/28.
308
Let l = 5039 - 3558. Let a = l + -5895/4. Calculate the common denominator of -7/4 and a.
4
Let p(a) = a**3 - 2*a**2 + a - 1. Let l be p(1). Let x be 0 + (-5 - -2) - l. Calculate the common denominator of 59/5 and (65/10)/(x/(-7)).
20
Let o(k) = -3*k + 10. Let x be o(8). Calculate the common denominator of (-7)/x - (-137)/(-24) and -59/8.
24
Let a = -2419/276 + 1/69. Find the common denominator of a and -71/12.
12
Suppose 20802 + 1241 = 7*h. Let z = h + -25153/8. Find the common denominator of z and -35/6.
24
Calculate the lowest common multiple of 2 and (-48)/(-9)*3*2/4.
8
What is the common denominator of (-2)/7 + 564/308 + 1 and 55/6?
66
Let t = 18 + -4. Calculate the smallest common multiple of t and 6.
42
Let l = -28443/8 - -3550. Find the common denominator of 149/12 and l.
24
Let l = 26 + 6. What is the common denominator of -63/22 and (114/l)/(-3) + -2?
176
Suppose 3*g - 2*w = 5, -2*w - 13 + 3 = -4*g. Calculate the least common multiple of 7 and g.
35
Suppose 5*c + 3868 = -10587. Let z = 17281/6 + c. Let y = 183/140 - 99/20. What is the common denominator of z and y?
42
Let l = 3699662/2509 - 19166/13. Let n = 19681/3860 - l. What is the common denominator of -93/14 and n?
140
Let p = -41143/42 - -4897/6. Let z = 2255/14 + p. Find the common denominator of -63/10 and z.
70
Let i be 45/(-6)*(-8)/(-10). Let m be (-15)/(i/4 + 0). Suppose -5*u + 58 = 3*s, 0*s - 3*u - m = -s. Calculate the lowest common multiple of 16 and s.
16
Let c = -946/5 + 7243/40. Let i = -21653/10 + 2167. Calculate the common denominator of i and c.
40
Let v = -9/26 + 115/13. Find the common denominator of 31/9 and v.
18
Let z = 3523 - 35157/10. What is the common denominator of z and 43/2?
10
Suppose -p = -4*d - 10, -2*p + 7*p - 3*d - 67 = 0. What is the smallest common multiple of (-8)/(-2) + (-1 - -2) and p?
70
Let j(b) = b + 1. Let c be j(1). Suppose -c*w + v + 8 = w, -w - 1 = -4*v. Suppose 10*q - 20 = 5*q + w*s, 3*s = 0. What is the lowest common multiple of 9 and q?
36
Let v = -607/56 + 131/7. Suppose 2*i + 4*a + a + 9797 = 0, i - 2*a = -4921. Let z = i + 39337/8. Find the common denominator of z and v.
8
Let h = -8843/4236 - -3/706. Find the common denominator of h and ((-93)/(-16))/((-90)/(-40)).
12
Let q be (-8)/(-12)*(-66)/(-4). Suppose -13*u + q*u + 4 = 0. Calculate the lowest common multiple of 14 and u.
14
What is the common denominator of -87/14 and (-39)/(-65) - 469/90?
126
Let g = 855 - 310. What is the common denominator of (-2)/8 + g/180 and 125/6?
18
What is the least common multiple of 6 and (-3 + 6)*32/6?
48
Suppose -4*a = -3*n + 4*n - 92, 4*n = -3*a + 342. Calculate the smallest common multiple of 30 and n.
420
Let k(u) = -u**3 - 5*u**2 + 5. Let w be k(-5). Suppose -w = -b + 3. Calculate the lowest common multiple of b and 10.
40
Let o = 307 + 883. Let h = 10157 + -223395/22. Find the common denominator of h and 8/52 - o/(-208).
88
Let s(z) be the second derivative of z**5/10 - z**3/6 + z**2 + 2*z. What is the smallest common multiple of s(2) and 22?
176
Let u = 6 - 10. Let s(w) = -2*w - 5. Let z be s(u). Suppose -p = p - 4*d - 24, -z*d + 2 = p. Calculate the least common multiple of 2 and p.
8
Let d(x) = -x**2 + 8*x + 6. Let z be d(8). What is the smallest common multiple of (-9)/z*32/(-6) and 9?
72
Let z = -6 - -9. Suppose 0*r + 21 = z*r. Calculate the least common multiple of r and 11.
77
Suppose 66 = 5*d + 26. Let p = d + -4. Calculate the least common multiple of (1/1)/(p/36) and 11.
99
Let y = 108 - 96. What is the smallest common multiple of 28 and y?
84
Let j(l) = l**3 - l + 2. Let v be j(0). Let g = 530 + -6365/12. Find the common denominator of g and (3/(-10))/(v/165).
12
Let h = -41 + 69. What is the least common multiple of h and 16?
112
Suppose -3*d = -4*s - 24, 3*d - 2*s = -3*s + 39. What is the smallest common multiple of d and 8?
24
Suppose 0*o - 12 = -2*o. Let r = -254263/18 + 14118. Calculate the common denominator of r and o/10 + 242/180.
18
Let y = -13 - -9. Let i = -25 - -41. Let m = i - y. Calculate the smallest common multiple of m and 4.
20
Suppose f = -4*f. Suppose f = o - 1 - 0. What is the smallest common multiple of (6/(-4))/(6/(-8)) and o?
2
Let j(b) = -14*b**2 - 5*b + 1. Let u be j(-6). Let q = -8197/1276 - -7/957. Calculate the common denominator of q and u/154 - (-1 - -3).
84
Suppose -11 +