29. Let h = r - -177/5. Calculate the common denominator of ((-2)/8)/((-1)/154) and h.
2
Let z(j) = -j**3 - 2*j**2 - 1. Suppose 5*d + 9 + 21 = 0. What is the least common multiple of z(-3) and d/(-8) + (-1)/(-4)?
8
What is the common denominator of 89/6 and 1/(-6) + 822/45 + -6?
30
Suppose 0 = 8*u - 0*u - 8. Suppose 97 = 5*t - 3. Suppose -t = -4*b, 5*y + b = -b + 15. Calculate the smallest common multiple of u and y.
1
Suppose -4*l + l = -6. Suppose 553 - 25 = 4*y. What is the common denominator of 0/l - (-318)/y and 71/18?
198
Let j = -42/41 + 2913/82. Find the common denominator of j and -31/10.
10
Calculate the common denominator of 2 + (-6)/(-32)*-62 and -73/3.
24
Let y = 2687/200 + -139/25. Calculate the common denominator of y and -32/11.
88
Let n(r) = -r - 13. Let x(f) = f + 14. Let q(b) = -3*n(b) - 2*x(b). Let w be q(-6). Suppose -3*g = -w*g + 10. Calculate the smallest common multiple of g and 9.
45
Let r(g) = 5*g**3 - 2*g**2 + g. Let t be r(1). Let w be 12/t + (-965)/(-264). Let n = -1/33 + w. What is the common denominator of 101/16 and n?
16
Let c = 165259/20 + -8267. Let f = c - 7/20. Find the common denominator of -48/7 and f.
35
Let u = 8 - 5. Suppose -k + 2149 = -4*f - 2*k, 0 = u*f + k + 1611. Calculate the common denominator of 4/(-12) - f/(-132) and 7/18.
198
Let j = -11998 - -263877/22. Find the common denominator of 242/(-120) + 2/3 and j.
220
Let i(v) = -30*v - 6. Let r be i(-5). Find the common denominator of (1/(-2))/(16/138) and 872/r + 0/(-2).
144
Suppose -5*t + 1525 + 1260 = -5*u, -3*t - 5*u + 1695 = 0. What is the common denominator of 2/7 - 405/t and (-48)/72 + 53/6?
48
Let c(j) = 9*j. Calculate the smallest common multiple of c(2) and 28.
252
Let o be (-12590)/(3 + -2 + -2). Let w = -276883/22 + o. What is the common denominator of w and 139/12?
132
Calculate the lowest common multiple of ((-1)/2 + 0)*-66 and 6.
66
Let i = 466 - 789. Let z = i - -223. Find the common denominator of 11/20*z/(-12) and -85/14.
84
Suppose -12 = -4*q, 4*q = l - 0*q + 688. Let r = l - -4067/6. What is the common denominator of 91/4 and r?
12
Let o = -27 - -30. Calculate the smallest common multiple of o and 3.
3
Let u be 8/6 + (-34)/3. What is the common denominator of ((-1)/(-24))/((-4)/(-18)) and 808/80 + (-6)/u?
80
Suppose 50*d + 120 = 56*d. Suppose -33 = -3*r + 5*b - 0, -3*r + 4*b = -36. What is the smallest common multiple of r and d?
80
Let b = 1623/88 + 5/88. Let x = 13837/8 + -1732. Find the common denominator of x and b.
8
Calculate the common denominator of 7/10 and (-426)/48 + (-1 - (-4 + 1)).
40
Suppose r + r = -136. Calculate the lowest common multiple of r/(-3)*12/8 and 6.
102
What is the common denominator of 37/14 and (2 + (-28)/15)/((-72)/(-2670))?
126
Suppose 14*k - 15*k = -4*z + 20, -4*k - 28 = -3*z. Let c = 4 + -2. Calculate the smallest common multiple of z and c.
4
Let l = -2 - -2. Let v = 9 + -9. Suppose n + l - 9 = v. What is the lowest common multiple of 4 and n?
36
Find the common denominator of -143/42 and (80/(-72))/((-4)/(-69)).
42
Let h = -19 - -34. Let d = h + -1. What is the lowest common multiple of d and 6?
42
Let r(l) = -l**3 + 4*l**2 - 2. Calculate the smallest common multiple of 13 and r(3).
91
Let s(u) = u**2 + 4*u - 20. Calculate the smallest common multiple of s(6) and 35.
280
Find the common denominator of 2/4 + 273/(-520) and -119/40.
40
Let j = 1257 - 2493. Let p = j + 690. Calculate the common denominator of (3/(-70))/((-4)/p) and 63/8.
40
Let s = 11 - 7. Suppose s*j + j = 4*z + 14, -2*j - 3*z + 1 = 0. What is the common denominator of 101/8 and 148/48 - j/(-6)?
24
Let m(j) = j**3 - 3*j**2 - 5*j - 3. Let b be m(4). Let x = 15 + b. What is the lowest common multiple of x and 5?
40
Let u = 393/16 - 81/16. Let z = -6137 + 15299540/2493. Let f = -162031/34902 + z. What is the common denominator of f and u?
14
Let z = 28 - 21. Calculate the smallest common multiple of z and 3.
21
Suppose 0 = 4*k - 2*k - 44. Suppose -2*y + 17 = -h - 7*y, -2*y + 4 = -5*h. What is the common denominator of 58/3 and (-906)/k + h/(-11)?
3
Calculate the common denominator of ((-1026)/90)/(22/5) and (-318)/10*3/(-18).
110
Let r be 13*3/(-12)*-11. Let u = 36 - r. Let y = 67/4 - u. Find the common denominator of -6/7 and y.
14
Let d = 88/9 - 1283/99. Find the common denominator of -19 and d.
11
What is the smallest common multiple of 7 and (-28)/5*((-27)/6 + 2)?
14
Find the common denominator of 124/(-6)*6/(-10) and -95/2.
10
Let a = 68 - 44. Suppose 2*p = -p + a. What is the smallest common multiple of 6 and p?
24
Suppose 5 = 2*i - 1. What is the common denominator of 6/(-21) + 1401/(-462) and 166/(-24) + (-2)/i?
132
Suppose 4*m = 28 - 0. Suppose 5*s = 0, 0 = n + m*s - 3*s - 22. Calculate the smallest common multiple of n and 8.
88
Suppose -2*y - 4*r + 28 = 0, -6*r - 2 = -4*r. What is the least common multiple of y and 5?
80
Let s = -1681/20 + 84. Calculate the common denominator of s and 43/10.
20
Let h = 200 + -112. Find the common denominator of 6/(-33) - (-918)/h and 29/12.
12
Let s = 26 + -51. Calculate the common denominator of s and 70/12 - (2 - 4).
6
Suppose 0*x = 4*x - 4. Let u = x + 1. What is the smallest common multiple of u and 10?
10
Let s(d) = -2*d**3 + d**2 + d + 1. What is the smallest common multiple of 1 and s(-1)?
3
What is the common denominator of ((-532)/(-4))/(-8 + 2) and 35/16?
48
Let t(n) = n**2 - 6*n - 12. Let z(a) = a**2 - 6*a - 11. Let j(g) = 4*t(g) - 5*z(g). Calculate the least common multiple of 18 and j(5).
36
Let b be 27441/(-1)*6/(-44). Let y = b - 3740. Find the common denominator of 17/22 - (1 + -1) and y.
22
Suppose n + 110 = 6*n. Let c(s) = -s**3 + 5*s**2 + 3*s - 1. What is the least common multiple of c(5) and n?
154
Suppose u - 25 = -4*u. Let n(p) be the second derivative of p**3/2 + p**2/2 + p. What is the lowest common multiple of n(u) and 2?
16
Suppose -d + 5*d = 12. Suppose 2*s + 4*c - 16 = 4*s, -3*c = -d*s - 12. What is the least common multiple of 2 and (1 - s)*(5 - -1)?
6
Let q(b) = -b**3 + 11*b**2 - 11*b + 14. What is the lowest common multiple of q(10) and 6?
12
Let x = -90 - 58. Find the common denominator of 151/12 and (x/(-18))/(8/(-6)).
12
Let h be 3*(1 + (1 - 0)). Let y = h - 2. Suppose -2*f = -4*m - 16, -2 + 28 = y*f - 2*m. Calculate the lowest common multiple of f and 2.
6
Let g be (5/(-4))/(1/(-24)). Let i be (-2)/(-16)*g/1. Let l = 127/4 + i. Calculate the common denominator of 11/10 and l.
10
Let y = -389/42 - -28/3. Calculate the common denominator of ((-4)/((-48)/63))/6 and y.
56
Let r = -47/44 - -23/55. Let l = -7657/1630 - 33/163. Calculate the common denominator of r and l.
20
Let n(y) = -y**3 + 8*y**2 + 11*y - 10. Calculate the lowest common multiple of 8 and n(9).
8
Suppose -3 + 5 = 2*l. Let q(y) = y**3 + 8*y**2 - y - 11. Let b be q(-8). Let t = 7 + b. Calculate the least common multiple of l and t.
4
Let a(i) = 3*i**3 + i**2. Let s be a(1). Calculate the common denominator of 9/14 and s/(-96)*(-852)/(-9).
126
Let a = 11 + 4. What is the common denominator of 43/a*-1*3 and 0?
5
Let x(f) = f + 2. Calculate the least common multiple of 9 and x(0).
18
Let m = -7/20 - -909/140. What is the common denominator of (-215)/(-10) - (-2 - -1) and m?
14
Suppose -2*u + 54 = -5*u. Calculate the common denominator of -121/6 and (-41)/u - 6/(-27).
6
Suppose -4 = -p - 0. Suppose 0 = l - t - 3, -7*t + 4 = p*l - 3*t. What is the lowest common multiple of l and 22?
22
Let v(z) = -z - 7. Let s be v(-5). Find the common denominator of -83/4 and 130/6 - (s + 0).
12
Let y = -1252518 - -338177891/270. Let s = -38/27 + y. What is the common denominator of (-2)/10 - 2/(-5) and s?
10
Let m(b) = -b**3 + 13*b**2 + b + 7. Suppose -2*q + 2 = -4*q. Calculate the smallest common multiple of q + 13 - 0/1 and m(13).
60
Calculate the smallest common multiple of 8 and (58 - 3 - 3)*(-2)/(-4).
104
Let f = 12755/1656 + -16/207. Find the common denominator of f and 81/39 + (-3)/(-2).
104
Suppose 5*a + 42 = -2*n + 5*n, 5*a - 5*n + 40 = 0. Let o = 22 - 34. Let f = a - o. What is the lowest common multiple of f and 3?
3
Let m be 4 + -4 + 1 + -17. Let o = 20 - m. What is the smallest common multiple of o and 18?
36
Let p = 31 - 16. Calculate the lowest common multiple of 10 and p.
30
Calculate the c