Find the common denominator of 43/4 and 15/(-10) - 50/(-8).
4
Let z be 0/(7 + -2 - 3). Suppose -2*u + 1 + 3 = z. What is the least common multiple of u and 4?
4
Let i(h) = -h - 4. Let f be i(-8). Suppose 0 = 5*q + f*v, 0 = 4*q - q + 5*v + 13. What is the lowest common multiple of 12 and q?
12
Suppose 3*w - 5*z - 43 = 0, -4*w + 3*w + z = -15. Let y = -6 + w. Suppose -2*m + m = -y. Calculate the lowest common multiple of m and 4.
20
Let j = -8839/782 + 6/1955. Find the common denominator of -41/8 and j.
40
Suppose -k + 5*k = -2*x + 116, 0 = -x + 5*k + 51. Suppose -3*d + x = 5*s - 0*s, -5*d + 118 = -4*s. Calculate the least common multiple of d and 22.
22
Suppose a - 4 = -0*a. Suppose -10 = -2*s + a*k, 43 = 3*s + 2*s - k. What is the lowest common multiple of s and 1?
9
Let j(h) = h - 30. Let m(s) = s**2 + 4*s - 5. Let w be m(-5). Let l be j(w). Find the common denominator of 74/3 and 15/10*(-142)/l.
30
Let n = 67 + -43. Suppose j + j - n = 0. Calculate the smallest common multiple of j and 20.
60
Suppose 8*h - 32 = 64. Calculate the least common multiple of h and 18.
36
Let d = -2 - -6. Calculate the common denominator of d/14 + 758/(-252) and -43/18.
18
Calculate the smallest common multiple of 7 and (14/(-35))/(1/(-25)).
70
Let y(f) = f**3 - f**2 - 4*f + 1. Calculate the smallest common multiple of 4 and y(3).
28
What is the common denominator of -1*(2 - 22/(-32)) and (0 - 0) + 1/(-16)?
16
Let k = 0 + 1. Let x(l) = 245*l**3 - 1. Let f be x(k). Find the common denominator of f/(-72) + 2*1 and 123/20.
180
Suppose -2*c + 18 = -26. Calculate the lowest common multiple of 6 and c.
66
Let q be ((-589)/(-2))/((-1)/(-2)). Let k = q + -2908/5. Calculate the common denominator of -46/11 and k.
55
Suppose -57 = 4*l - 145. Let q = -3 - -6. Suppose -2*s - 12 = -q*s. Calculate the least common multiple of s and l.
132
Suppose 0*g - 3*o - 24 = g, -5*g = 4*o + 153. Find the common denominator of (-7)/21*g/(-16) and 81/20.
80
Suppose 6 - 2 = 2*k. Calculate the smallest common multiple of 4 and k.
4
Let g = -1613/60 + 153/10. What is the common denominator of 11/10 and g?
60
Let i be 5005/(-2050) + 6/10. Let t = 3123/820 - i. Calculate the common denominator of t and -19/22.
220
Suppose 3*x - 24 - 54 = 0. Let a = x - 16. What is the lowest common multiple of (-28)/8*(96/28 + -4) and a?
10
Let g(t) = t**3 + 7. Suppose o = -4*o + 35. Calculate the least common multiple of o and g(0).
7
Let q = 12 + -3. What is the least common multiple of 5*(q/(-5))/(-1) and 1?
9
Let a be -2 - (-1*2)/1. Suppose 4*k - 27 = -15. Suppose 3 = k*c - a. Calculate the smallest common multiple of c and 7.
7
Suppose 2*s - 20 = 8. Calculate the lowest common multiple of 20 and s.
140
Let a = 3/257 - 5953/3598. Find the common denominator of a and (-25)/(-55)*6/5.
154
Suppose -3*w + 33 = -3*p + 8*p, 27 = 2*w + 5*p. Calculate the smallest common multiple of w and 3/(-1*1/(-2)).
6
Let a(i) = -36*i - 4. Let u(q) = 2*q - 2. Calculate the lowest common multiple of u(3) and a(-1).
32
Calculate the common denominator of -39/8 and 4/(-22) - (-4739)/1078.
56
Let f = -1840/591 - 48053461/11820. Let u = -4074 - f. Find the common denominator of -11/8 and u.
40
Let r = 3 - 1. Let l be 1/((-1)/r - -1). Suppose l*b + 5*q = 34, q = -2*b - 2*q + 30. Calculate the least common multiple of 2 and b.
12
Suppose 5*a + 27 - 87 = 0. What is the least common multiple of a and 1?
12
Let k = -149030771/8173926 + 1408/17847. Let v = -6838/504487 + 1/2203. Let h = k + v. Find the common denominator of h and 83/2.
6
Let m = -61 + 66. Calculate the least common multiple of (6/(-9))/(1/(-6)) and m.
20
Calculate the common denominator of -57/8 and (-4)/(-6) + 21/(-72).
8
Let i = 36 + -20. Let u = 6 - 4. Let z = 0 + u. What is the lowest common multiple of i and z?
16
What is the common denominator of (7 - 16)*(3/11 + 0) and -41/29?
319
Let w = 2204/3 + -719. Find the common denominator of 17/12 and w.
12
Let c(u) = -u**3 + 6*u**2 + 3*u + 4. Let q be c(4). What is the common denominator of -85/4 and (-12)/q*35/2?
8
Find the common denominator of -31/8 and ((-218)/(-12) - -1) + -2.
24
Let r = 20 + -10. Suppose 29 - 1 = 2*c. Calculate the least common multiple of r and c.
70
Let j = 6/551 - -11439/12122. Let f be (134/2)/((-1)/13). Calculate the common denominator of f/(-90) - 2/(-9) and j.
110
Let x = 12476 + -199553/16. Let y = -471778198 + 19781659958931/41930. Let l = y + 1/2995. What is the common denominator of x and l?
112
Let d = 174403/14 - 12452. What is the common denominator of 65/4 and d?
28
Let z = -98 + 104. What is the least common multiple of 40 and z?
120
Let i be 2/8 - 9/4. Let n = -7171/7 - -1030. What is the common denominator of n and (i - 0) + (-183)/30?
70
Let s(o) = 10*o. Find the common denominator of 5/(-3)*(-28)/(-20) and s(1).
3
Let m = 15632/51 + 119407/102. Let v = m + -1485. Calculate the common denominator of v and -93/14.
42
Find the common denominator of 69/14 and 10/(-8)*(-27)/36.
112
Let a = -12 + 19. Let j = a - 5. What is the common denominator of -3 + j + (-82)/6 and -81/2?
6
Suppose -5*j = -j. Suppose -8*h + 4*h + 64 = j. Let g = h - 5. Calculate the smallest common multiple of 1 and g.
11
Suppose -20 = 5*v, -435 - 63 = 5*g - 3*v. Let i = 4 + -5. Calculate the common denominator of i - (-2 + g/(-16)) and -68/9.
72
What is the common denominator of ((-2)/396)/((-1)/62) and -23/15?
495
Let v(s) = s**3 + 3*s**2 - 13*s + 3. Let l(w) = w + 8. Let i be l(-6). Calculate the least common multiple of v(-5) and (1 - 13)/((-2)/i).
36
Let s be 5 + (2 - 3) + 0. Suppose -3*c - 65 = -5*t - s, 5*t - 45 = -5*c. Calculate the smallest common multiple of t and 6.
66
What is the common denominator of 102/(-104) + (-3)/12 and -46/3?
39
Let v(n) = n - 1. Suppose -3*i = 5*g - 98, 74 = 3*g - 0*i - 2*i. Suppose 3*c + 0*c = 4*h + g, -2*h - 4 = 2*c. What is the least common multiple of 10 and v(c)?
10
Suppose -v = 3*h, h - 2*h = -3*v + 10. Suppose -v*a = a - 8. Find the common denominator of -19/5 and 80/12 - a/(-3).
15
Let p be 267/12 + (-4)/16. Let i = p - 18. What is the smallest common multiple of 12 and i?
12
Find the common denominator of (-76)/(-20) - (-4 - 0) and -25/9.
45
Let j = 32 + -23. What is the smallest common multiple of j and 9?
9
Let b(c) = -c**2 - 1. Let n be b(-1). Calculate the common denominator of -119/10 and 0 - (-79)/n - 0.
10
Let f = 7/366 + -19433/1830. What is the common denominator of f and -47/4?
20
Let s = 40/51 + 353/34. Suppose -3272 = 4*l - 6*l. Let a = -8243/5 + l. Calculate the common denominator of s and a.
30
Let c(s) = 27*s**3 + 0*s**2 + 2*s**2 + s - 3*s**2 - 1. Let t be c(1). Suppose 4*p - t = 2*j, -5*j = 6 + 19. Calculate the smallest common multiple of p and 14.
28
Let d = 2772862 - 715395277/258. Let z = d - -32/43. Find the common denominator of z and -61/3.
6
Let b = -471 - -203. Let m = b - -569/2. What is the common denominator of -121/10 and m?
10
Suppose 2*q + 1274501 = 4136671. Let l be 0/(-1) + q/449735. Let p = l + -2/8177. Calculate the common denominator of p and 37/9.
99
Let y = -19 + 57. Calculate the smallest common multiple of 8 and y.
152
Let n be 28/(-8)*(-8)/14. Find the common denominator of n/(-5) + 159/(-30) and -113/14.
70
Let z = -8230486/151 + 54459. Let t = 9/302 + z. Calculate the common denominator of 69/2 and t.
2
Let h = 346083/20 + -17299. Calculate the common denominator of h and 56/(-16)*174/140.
20
Let h = 6 + -12. Let i = 5 - h. Suppose 3*n + 2 - 7 = 5*l, 8 = 2*n - l. What is the lowest common multiple of n and i?
55
Let d = -3067131470584/23 - -1170454174946593463/8777076. Let a = d + 1/8673. Let x = 477/11 - a. Find the common denominator of x and 3/4.
4
Suppose -5*n + 11 = 2*z, 0 = -3*n + 6 - 3. What is the lowest common multiple of z and 11?
33
Suppose 23*v = 9*v + 336. What is the lowest common multiple of v and 21?
168
Let j = -35 + 47. What is the lowest common multiple of 3 and j?
12
Let r = -9 + 18. Calculate the lowest common multiple of 13 and r.
117
Let k(w) = -w**2 - 4*w - 1. Let v be k(-3). Let g be 0/(0 + 2 + 0). Suppose -s + g = -v. What is the least common multiple of 6 and s?
6
Let s(f) = -f**2 + 9*f. What is the least common multiple of 10 and s(8)?
40
Let m(s) = -s**3 + 9*s**2 + 7*s + 14. Let z be m(10). Find 