40
Let h = 4082689957/176 + -23197239. Let a = 1550/11 + h. What is the common denominator of a and -89/12?
48
Calculate the common denominator of 27/5 and ((-12)/16)/(3/67).
20
Let l(g) = -14*g - 1. Let x be l(-6). Suppose 0 = 4*o - 3*o + 5, -3*i = 2*o + 94. What is the common denominator of -34/11 and x/i - 1/(-4)?
77
Let k = 0 + -2. Let z be -30*k/477*4. Let q = z + 9371/3180. What is the common denominator of 49/20 and q?
20
Calculate the common denominator of 6/15*(-445)/(-44) and -45/22.
22
Let z(i) be the second derivative of i**3/3 + i**2 - 4*i. What is the lowest common multiple of z(4) and 5?
10
Let i = -2699308/21 - -128494. Let u = i + 435/7. Calculate the common denominator of u and -19/4.
12
Let m(v) = v**3 + 8*v**2 - 8*v - 12. Let h be m(-9). Let z = 43 + h. Calculate the least common multiple of z and 4.
44
Let h be (428/6)/(1/(-9)). What is the common denominator of -41/2 and h/(-60) - 1/1?
10
Suppose 4*o = 2*r + 6, 5 + 17 = r + 3*o. Calculate the smallest common multiple of (-1 + 11)*(-6 - -7) and r.
70
Suppose 0 = 9*x - 4*x + 820. What is the common denominator of (-1)/2 + x/(-92) and 107/12?
276
Suppose -2*c = c - 24. Find the common denominator of (-8)/(-9) + 0 - 0 and (0 - 124/c)*2.
9
Suppose -23 = -j - 3. Suppose 4 = -5*u + 3*u. Calculate the lowest common multiple of -3*((-2)/(-3) + u) and j.
20
Let g be -2 - (1 + -39 - 2). Find the common denominator of ((-2)/11)/(4/93) and 2 + (2 - g/8).
44
Suppose 2*t + 4*t = 48. Calculate the smallest common multiple of t and 3.
24
Find the common denominator of 9/(108/(-8)) - (-579)/90 and 23/3.
30
Let j = 437 - 845/2. What is the common denominator of j and 75/4?
4
Let m be (-2)/8 + (-17)/(-4). Let t = -558 - -10061/18. Calculate the common denominator of t and (2/6)/(m/(-342)).
18
Suppose 6*d - 3*d = 30. Suppose -2*l = 3*f - 17, 12 = 4*l - 4. Calculate the lowest common multiple of (-2)/(((-9)/6)/f) and d.
20
What is the lowest common multiple of 6 and (-3 + 15/9)*-3?
12
Let m = 31076557/9 - 610519979/153. Let s = -14068395183/26180 - m. Let q = -106/77 + s. Calculate the common denominator of q and -97/4.
20
What is the common denominator of 65/6 and (-4)/12*(51/(-13) - 0)?
78
Suppose -5*u - 3*m = -u - 7, 0 = -u + 5*m + 19. Let f(d) = d + 2*d - 3*d - 13 - 3*d. Calculate the least common multiple of f(-9) and u.
28
Let s = -19627/10 - -1971. Let x = 1 - -1. What is the common denominator of x/(-4) - 153/(-33) and s?
110
Suppose -5*t - 4*y + 25 = 0, -2*t + 2*y + 8 = -2. Suppose 2*i - 6 = 2*u + 4*i, -2*i = -t*u + 20. Let d = 2 + u. What is the smallest common multiple of d and 3?
12
Let k(l) = l**3 + 6*l**2 - 2*l. Let p be k(-7). What is the common denominator of 126/p - 2/8 and -109/18?
180
What is the common denominator of -36 and 0 - ((-4)/((-32)/21) + -1)?
8
Suppose 5*l - 4*t = -11, -2*t - t = 3*l - 15. Calculate the smallest common multiple of 6 and l.
6
Suppose 3*i + i = 44. What is the smallest common multiple of i and 6?
66
Suppose -k - 12 = k. Let v = -1 - k. Calculate the common denominator of 67/22 and 0 + (275/16)/v.
176
Let i = 20/1049 - -246435/4196. Let b be -10 + -2 + 21/12. Let q = b + i. Calculate the common denominator of -43/12 and q.
12
Suppose 5*g - 19 = 2*v - 3*v, -3*g = 4*v - 25. Calculate the lowest common multiple of 27 and g.
27
What is the common denominator of ((-420)/(-72))/((-11)/9) and -79/6?
66
Let k be (-3)/((-9)/(-6) + 0). Let c(f) = 133*f - 1. Let a be c(k). Find the common denominator of (a/(-60))/((-3)/6) and -1/22.
110
Let c = -3761 - -30151/8. Find the common denominator of -59/46 and c.
184
Let n be ((-146)/12)/(1/(-81)). Let j = 1005 - n. What is the common denominator of ((-1)/(-3))/((-4)/(-207)) and j?
4
Suppose 0 = 2*i + 2*a - 30, -2*i + 20 = -a - 25. What is the least common multiple of 16 and i?
80
Let t = -44465/12 - -3712. What is the common denominator of t and -17/15?
60
Suppose -3*a = -4*j - 47, -3*a - 2*j + 36 = -a. Let l = a + -14. What is the lowest common multiple of 3 and l?
3
Let k = -9 - -17. What is the least common multiple of k and 20?
40
Let c be 934/6 - (-1)/3. Let b be (-2)/(-9) + c/27. What is the least common multiple of 14 and (-1 - 23)*(-4)/b?
112
Let j = -234440/27 - -8681. What is the common denominator of j and 52/9?
27
Let h(k) = -k**2 - 7*k + 9. Calculate the lowest common multiple of h(-8) and 17.
17
Let i = 8 + -7. Calculate the smallest common multiple of i and 10.
10
Suppose -11 = -2*w + 5. Calculate the common denominator of -3/5 and w/28 - (-285)/(-189).
45
Let x = 1006891000851 + -156386282686323019/155316. Let f = 4/12943 - x. What is the common denominator of 3/22 and f?
132
Let w be 55/33 - 1/(-3). Find the common denominator of 214/48 + w/(-6) and -51/2.
8
Suppose 0*q + 5*s = q - 1, 0 = 3*q + s - 3. Calculate the lowest common multiple of 19 and q.
19
Suppose 2*a + 610 = -5*t + 2178, 0 = -2*t - a + 627. Let v be (0 + -58)*t/16. Let b = 9025/8 + v. Calculate the common denominator of b and -67/10.
40
Let d = 1/1579 - 99481/6316. What is the common denominator of d and 31/8?
8
Let v = -794/75 + 21/50. Find the common denominator of v and 66/24*10/(-4).
24
Suppose 3*j - 4*m = 54, 99 = 5*j - 5*m + 9. Calculate the smallest common multiple of j and 94.
846
Let l = 70 - 43. Calculate the lowest common multiple of 15 and l.
135
Let f = -5 + 9. Let c(m) be the first derivative of 2*m**3/3 - 3*m**2 - 1. Calculate the least common multiple of 8 and c(f).
8
Let m = -14 + -4. Let f = -10 - m. Calculate the least common multiple of 18 and f.
72
Let o = -4633 - -74073/16. Let b = 9997/14 - 713. What is the common denominator of b and o?
112
Let o = -11 + 18. What is the least common multiple of (-194)/(-18) - (-2)/9 and o?
77
Let m be 20/(-2)*(-8)/(-5). Let a be ((-141)/m)/((-2)/4). Let j = a - -581/40. Find the common denominator of -48/11 and j.
110
Suppose 2*z - 3*p = 2114, 970 = 2*z + 3*p - 1144. Let n = 5227/5 - z. Calculate the common denominator of n and -113/6.
30
Let j(h) = -h**3 + 2*h**2 - h + 1. Suppose 3*w = 5*w - 44. Suppose -f = f - w. Calculate the lowest common multiple of f and j(1).
11
Let f be -1 + 3 + 36/3. Let v = -8 - -11. Suppose 5*d - f = -2*r + v*d, 4*r = -3*d + 25. What is the lowest common multiple of 12 and r?
12
Let c = -121864 + 6336077/52. Let v = -21/13 - c. Let o = 96 + -482/5. Find the common denominator of o and v.
20
Suppose -4*h = -4*z + h + 53, 5*z - 59 = -h. What is the smallest common multiple of 6 and z?
12
Suppose -5*t = -t - 8. Let y = -21 - -35. Let q = -6 + y. What is the least common multiple of t and q?
8
Suppose -8*c - 120 = -14*c. What is the lowest common multiple of c and 20?
20
Let d = -2919 + 52397/18. What is the common denominator of d and ((-6)/(-8))/(6/(-202))?
36
Let d = 20 + -63. Find the common denominator of -44/9 and (2 + d)*2/(-12).
18
Let b(s) = -s**2 + 11*s + 8. Let a(u) = -u**2 + 7*u + 5. Let j(q) = -8*a(q) + 5*b(q). What is the smallest common multiple of j(1) and 5?
10
Suppose 0*k = -5*k + 50. What is the least common multiple of 2 + (2 - 3) - -6 and k?
70
Suppose -43*f + 36 = -37*f. Let a be 3/6 + (-17)/2. What is the common denominator of f and (1 - (-102)/a) + 1?
4
Let a = -462 - -302. Suppose -87 = 4*m - m + 3*y, 43 = -2*m + y. What is the least common multiple of 12/10*a/m and 5?
40
Suppose -7*z = -z - 18. Suppose z*a - 16 + 4 = 0. Calculate the smallest common multiple of a and 4/18 - (-194)/18.
44
Suppose -42 = 3*a - a. Let r be ((-54)/a)/((-3)/(-14)). Let v = 4 + r. What is the lowest common multiple of 4 and v?
16
Calculate the common denominator of -93/8 and (-10 + 4)*(-33)/8.
8
Let g(m) = m**2 - 4*m - 6 + 0 - 5 + 0. What is the lowest common multiple of 5 and g(6)?
5
Let x = -438/37 + 1803/518. Suppose t + 2*p - 463 = -p, 4*t + 4*p = 1892. What is the common denominator of x and t/88 - 2/11?
28
Find the common denominator of 18/16*451/165 and 41/4.
40
Suppose -4*j - 2*s + 0*s = -576, 162 = j + 5*s. Let r = 22 - 10. Find the common denominator of 31 and j*(-3)/r + 0.
2
Suppose -2*g + 9 + 3 = v, 5*v - g = 27. Find the common denominator of 93/2 and ((-132)/90)/(2/v).
10
Let g = 1/74 + 573/37. Calculate the common denominator of g and 30.
2
Let z be 2 + -4 + 12/(-2). Let q = -16/121 + 8961/968. What is the common denominator of (-12