 Calculate the common denominator of v and 141/132 - 1/(-4).
110
Let m = -67/72 - -1/24. Calculate the common denominator of m and -39/7.
63
Let y be (-4)/(-6) + (-6)/9. Suppose a - 5*x + 16 = 0, a + x + 0*x - 8 = y. Calculate the least common multiple of (-2)/(-5) + 48/5 and a.
20
Let x(q) = q**2 + 7*q - 10. Suppose 0 = 4*v + 5*c - 15, 6*c = -3*v + 2*c + 12. Suppose 27 = -3*w - v*w. What is the smallest common multiple of x(w) and 6?
24
Let k(m) = -4*m - 2 - 4*m**2 + 0 + 5*m**2. Let v = -9 + 15. What is the least common multiple of 5 and k(v)?
10
Let f = 11 - 5. Calculate the common denominator of -76/3 and (-6)/f + (-142)/(-16).
24
Let d = 71 + -41. Let h = d - 24. What is the lowest common multiple of 6 and h?
6
Let a = -9/478 + 6604/1673. What is the common denominator of a and 8/(-6) + 1176/48?
42
Suppose 3 = -b - w, 6*b - 2*b = -3*w - 8. Suppose -t + 1 = -b. What is the smallest common multiple of t and 16?
16
Let i(r) = r**2 - r. Let l be i(-2). Calculate the smallest common multiple of 22 and 15/(-10)*(-32)/l.
88
Let q = 376/13 + -15727/546. What is the common denominator of -5/14 and q?
42
Let n(i) = 0*i**2 + 3*i - i - 1 - i**2. Let p be n(3). What is the common denominator of -95/4 and ((-48)/18)/((-2)/p)?
12
Find the common denominator of 1184/(-72) + 2/(-9) and -50/3.
3
Let h = -22 - -5. Let u = -6 - h. Calculate the least common multiple of u and 4.
44
Let q = -5 - -13. Calculate the common denominator of 22/33 + (-172)/72 and (-3)/q*-19 + 0.
72
Suppose 5*h + 24016 = -w + 3*w, -5*h + 5*w = 24025. Let p = -52874/11 - h. Calculate the common denominator of -39/2 and p.
22
Suppose -4*o + 60 = -4*h, 17 = 5*o + 5*h - 88. Let j = -2 - -2. Let k(t) = t**3 + t**2 - t + 20. Calculate the smallest common multiple of k(j) and o.
180
Let f be 0 + (1 - 2 - -1). Suppose 3*q - 33 + 3 = f. What is the least common multiple of q and 4?
20
Let u be -2*3/(-6) - (-5 + 6). Let f(w) = w + 3. Let i be f(-6). Find the common denominator of -50/3 and (-37)/i - (-1 - u).
3
Suppose -3*q = 2*q + 15. Find the common denominator of -27/14 and (-2)/q - 238/(-36).
126
Let z(p) = 3*p. Let f be (-2)/(-3) + 1/3. What is the least common multiple of z(4) and 1 + (f - -1)/2?
12
Let r = -209429/12 - -17442. Calculate the common denominator of 2/(-24)*438/(-10) and r.
60
Let o = -44972/11 - -4085. Calculate the common denominator of (-1 - -17)*(-20)/8 and o.
11
Suppose 2*d - 38 = 5*j, -3*d + 2*d - j + 12 = 0. What is the smallest common multiple of d and 16?
112
Calculate the lowest common multiple of 32 and (1 - 0)*(7 + -1).
96
Suppose 49 - 1 = 3*u. Let a = u - 6. What is the smallest common multiple of a and ((-24)/96)/(0 + (-1)/4)?
10
Let s = -7 + 13. Let r be 1*(-6)/(-9)*6. Suppose -b + s - r = 0. Calculate the lowest common multiple of b and 8.
8
Suppose -2*q = -4*l - 36, -2*q + l - 3*l = -30. Suppose -21*p = -23*p + q. Calculate the least common multiple of p and 8.
8
Let a(g) = g**2 - 2. Let t be 164/(-10) + 2/5. Let z be ((-3)/(-2))/(6/t). What is the smallest common multiple of a(z) and 10?
70
Find the common denominator of -79/8 and 3/(-12) - 191/(-20).
40
Let a(o) = -8*o - 2. Suppose -20*j + 0 = -400. What is the lowest common multiple of a(-2) and j?
140
Let q = 740 + -14791/20. Find the common denominator of -91/22 and q.
220
What is the common denominator of (-116)/42 + 12/(-72) and 6/9 - 23/(-60)?
140
Suppose -3*x = -0*x + 6. Let y = -24887/10 + 2495. What is the common denominator of y and 50/32 + x/(-2)?
80
Let r(y) = y**3 - 9*y**2 + 10*y - 10. Let l be r(8). Suppose -d - 60 = -l*d. Let m = 26 + -4. Calculate the smallest common multiple of m and d.
132
Let b be 12614/3 - (-3)/9. Let u = b + -25297/6. Find the common denominator of 14/(-4)*(-18)/(-48) and u.
48
Suppose 2*k = -3 + 11. Let q = -6 + k. Let j = q + 4. Calculate the least common multiple of 20 and j.
20
Let p = -1937/4 + 999/2. Calculate the common denominator of 19/2 and p.
4
Let l = 2/291 - 4567/1164. Let o = -10/147 + -11239/1176. Find the common denominator of o and l.
24
Let r be ((-48)/4)/((-2)/1940). Let d = r + -116523/10. Calculate the common denominator of -61/2 and d.
10
What is the common denominator of 44/7 and (96/(-33))/(-4 - -5)?
77
Let h = 39879/6248 - 6/781. Find the common denominator of h and 79/22.
88
Let d(n) = -n**2 - 8*n + 2. Let z be d(-8). Let u = -943/6 + 6421/42. Calculate the common denominator of 1/(-1) - (-103)/z and u.
14
Let o be -12*(-1 - (-9)/6). Let t = -2 - o. Suppose 0 = 5*f + t*v + 2, 0 = 5*f - 3*v + 5*v - 4. Calculate the least common multiple of f and 10.
10
Let m(f) = -f**3 + 5*f**2 - 2*f + 7. Let o be m(5). What is the common denominator of 20/9 and ((-3)/36)/(o/(-44))?
9
Let f = -70 - -217. Suppose -4*q + 3*q = f. Find the common denominator of (q/15)/(12/(-5)) and -59/22.
132
Suppose 0*i + 5*i - m = 49, 0 = -3*i + 4*m + 26. What is the smallest common multiple of 3 and i?
30
Let a(b) = b + 4. What is the lowest common multiple of 1 and a(-1)?
3
Find the common denominator of (-3)/((-66)/(-4)) + (-2312)/(-132) and 8/9.
9
Let l = -564 - -5711/10. Find the common denominator of -33/5 and l.
10
Let l be 1*18 - -1 - -1. Suppose 0 = 2*b + 3*b - l. Suppose -b*k + 12 = -k. Calculate the least common multiple of k and 18.
36
Let c(y) = -y**3 - 10*y**2 - 7*y - 4. Let r be c(-4). Let l = r + 790/11. Let d = 11717/930 + 1/930. Find the common denominator of d and l.
55
Suppose 4*q - 52 = -5*w, w - 20 = -q - 2*w. Let f be q/(-4) + (-100)/1. What is the least common multiple of 4 and f/(-14) + 8/(-28)?
28
Suppose -o + 21 = -3. What is the lowest common multiple of 8 and o?
24
Suppose y - 14 = 2*a - 3*a, 2*a = -y + 10. Calculate the smallest common multiple of y and 2.
18
Suppose -4*n - 3*m - 9 = -n, 0 = 2*n + 4*m + 10. Find the common denominator of -85/6 and 357/(-36) + n/(-3).
12
Let x(a) = -65*a**3 + 1. Let c be x(-2). Let s = 2107/4 - c. What is the common denominator of (-98)/(-120) - (-4)/(-10) and s?
12
Let n = -11 - -5. Find the common denominator of 4/n - (-8)/1 and 118/(-21) - (-6)/(-9).
21
Let q(k) = -k**2 - 8*k - 1. Let c be q(-8). Suppose 2*l + 34 = 2*o, l = 4*o - 15 - 50. Calculate the lowest common multiple of -12*((-4)/(-6))/c and o.
16
Suppose 4*n + 5*c = 101, -n = 2*n + 4*c - 76. Suppose 0 = -0*m + 3*m - 12. Calculate the lowest common multiple of n and m.
24
Suppose r - 3*r + 16 = -4*k, -5*k - 30 = -5*r. Let w(m) = 7*m + 1. Let j be w(1). Let c = j + -5. Calculate the lowest common multiple of c and r.
12
Let z = -1922 + 26959/14. Calculate the common denominator of -31/9 and z.
126
Let x = -32 - -34. Suppose -1 = -3*s + 5*u + 11, -3*u = 9. What is the smallest common multiple of x and -1*1 - (s - 6)?
6
Suppose -14 = -n + 5*j, -3*n - 4*j + 99 = 2*n. Suppose 3*b = n + 2. Calculate the least common multiple of b and 4.
28
Let u = -66 - -69. Calculate the lowest common multiple of 15 and u.
15
Let l = -22 + 52. What is the least common multiple of l and 12?
60
Let h = 32 + -27. Calculate the least common multiple of 36 and h.
180
Let t = 40 + -18. Let j = -12 + t. Calculate the smallest common multiple of 8 and j.
40
Let d = 6 - 2. Suppose d = -3*u + 52. Let v(g) = 7*g - 22. What is the smallest common multiple of v(4) and u?
48
Let h be 9861/4 - (-2)/2. Suppose 8*d = 6*d - 4900. Let y = d + h. Find the common denominator of y and 47/11.
44
Let m = 4 - 1. Suppose 0 = -2*j - m*j. Find the common denominator of j + ((-142)/16 - -1) and 43/3.
24
Let r(f) = -2*f + 2. Let w be r(-3). Suppose 2*l = -10, -u - u + 2*l + 2 = 0. Let h = u + w. What is the lowest common multiple of 18 and h?
36
What is the common denominator of (-1)/(-2 - (-144)/71) and (14/84)/(4/(-58))?
12
Let j(a) = -6*a - 5. Let z be j(-4). Suppose -2*g + 2*o = -1 - z, -3*g + 34 = -4*o. What is the least common multiple of 14 and g?
42
Let b(x) = 2 + x + 2*x + 0*x. Let f be b(-2). Calculate the common denominator of 17/14 and 1*(-1 - 33/f).
28
Let h = -400367/18 - -22236. Calculate the common denominator of h and -37/16.
144
Suppose -w - 40 = -5*w. Suppose 0 = -4*r - 66 - 22. Let l = r - -38. Calculate the least common multiple of w and l.
80
Let c = -4 + 9. Suppose 6*n = 5*n + 4*j, -5*j + 21 = 4*n. What is the smallest common multiple of n and c?
20
Let j(h) = 3*h**2 - 16*h - 10