Let f(h) = -h**3 + 26*h**2 + 26*h + 30. What is the lowest common multiple of f(27) and 3?
3
Let j(t) = -t**3 - 9*t**2 - 8*t + 5. What is the smallest common multiple of j(-8) and 7?
35
Let q(m) = 2*m**2 + 2*m. Suppose -3*i - 2*i = 10. Let c be (i/2)/((-7)/(-14)). What is the lowest common multiple of q(c) and 8?
8
Suppose 0 = 4*o - o - 24. What is the smallest common multiple of 2 and o?
8
Suppose 12 + 17 = -2*r - 3*y, 3*r + 4*y + 42 = 0. Calculate the common denominator of (-6)/r + 309/(-90) and -29/16.
48
Let j = 2373/36504974 - 2558936469105/587346779173. Let l = -2/4597 + j. What is the common denominator of -29/18 and l?
126
Let i(f) = -f**3 + 10 - 7*f + 7*f**2 - 1 + 0*f**2. What is the smallest common multiple of i(6) and 9/42*2*21?
9
Suppose -2*l + 7115 = 3*l. Let w = l - 9934/7. Find the common denominator of 14 and w.
7
Let i = -10283/11 + 938. Calculate the common denominator of i and -25/8.
88
Suppose 4*n - 7421 - 1868 = -3*c, -5*c + 3*n + 15530 = 0. Let o = 68229/22 - c. What is the common denominator of -37/10 and o?
110
Let i = 3 - 0. Let o = 13 - 8. Suppose 0 = -4*s + o + i. What is the least common multiple of s and 12?
12
Suppose -3*m - 22 = -1. Let r = -4 - m. Calculate the smallest common multiple of r and 9.
9
Calculate the common denominator of (-64)/(-54) - (2/3 - 0) and 13/9.
27
What is the least common multiple of 4 and 10/(-3)*45/(-75)?
4
Suppose 3*l = -i + 63, -2*l = 3*l - 4*i - 88. Calculate the lowest common multiple of l and 2.
20
Suppose a + 10 = o, 0*o - 4*o - 12 = 0. Let h = -9 - a. Suppose -w + 5*g = 6, -2*w - h*g + 24 = 2*w. Calculate the smallest common multiple of 6 and w.
12
Let o be (-3 - (0 + 0))*-2. Suppose -o*g = -2*g - 16. Calculate the smallest common multiple of 3 and 387/81 - g/(-18).
15
Let q be (1*-2)/(12/(-18)). Let t be q - 2 - (-57)/1. What is the common denominator of ((-12)/16)/((-9)/t) and 9/16?
48
Let a = 2/233 + 9079/932. Calculate the common denominator of -103/24 and a.
24
Let q(l) = l**2 - 11*l + 6. Suppose 9 = 5*z - 66. What is the lowest common multiple of q(11) and z/(-6)*(-8)/5?
12
Let j = -14/81 + 697/3564. Let c = -1289/396 - j. Let g = -1103 + 4375/4. What is the common denominator of g and c?
36
Suppose 5*c - 46 = -a, -2*a - 19 = -4*c + 29. Suppose 18 = 2*l + 5*z - 17, -5*l - 2*z = -35. Calculate the least common multiple of l and c.
10
Let o(a) = -6*a + 3*a**2 + 1 + 2 + 2*a - 4*a**2. Calculate the smallest common multiple of o(-4) and 8.
24
Let b be -2003*(-1 - 8/(-14)). Let i = 855 - b. Let u = 3293/45 + -332/5. Calculate the common denominator of u and i.
63
Let s = 1211 - 4871/4. Find the common denominator of s and 133/24.
24
Let t = 3261530 + -19616843/6. Let h = -7919 - t. Find the common denominator of h and (-1)/2 + (-182)/(-32).
48
Suppose l - 6 = 49. Suppose 0 = -5*k + l + 15. Let w = 31 - 19. Calculate the least common multiple of k and w.
84
Suppose 2*n = n + 3. Let y = -10 - 10. Let l = -9 - y. Calculate the least common multiple of n and l.
33
Find the common denominator of (-142)/24 + 10/40 and 1/2.
6
Let a = 157/5 - 873/20. Suppose -4*j - 7*u = -2*u + 14, -3*j - 12 = 3*u. What is the common denominator of ((-27)/j)/((-1)/3) and a?
4
Suppose -3*r + 15 = 0, -3*h - 3*r = h - 19. Calculate the smallest common multiple of 10 and h.
10
Let b = -55 + 31. Calculate the common denominator of 11/4 and 154/b + (-3)/9.
4
Suppose -2*x - x = -24. What is the lowest common multiple of 34 and x?
136
Suppose 0 = 2*g - 5*d - 43, -2*g - g + 5*d = -57. What is the lowest common multiple of 8 and g?
56
Let g(l) = -l**3 - 6*l**2 + 4*l - 3. Calculate the least common multiple of 16 and g(-7).
144
What is the common denominator of -59/20 and (23 + 0/4)/12?
60
Suppose 0 = -2*t + x - 6*x - 7, 3*t = -2*x + 6. What is the lowest common multiple of 3 and t?
12
Let u(h) = h**2. Let k be u(2). Suppose k*g = 3*g - 16. Calculate the common denominator of -7 - -9 - (-74)/g and 133/6.
24
Let s = 8074384 - 96826573/12. Let t = s + -5508. What is the common denominator of 2 - 2*129/(-120) and t?
60
Let w(k) = k**3 + 19*k**2 - 19*k + 28. Suppose 9*s - 4*s - 25 = -3*l, -4*s - 44 = -4*l. What is the smallest common multiple of l and w(-20)?
40
Suppose 2*r + 91 = 3*r. Suppose 4*g + r = -5*v, 2*v - 3*g - 2*g + 10 = 0. What is the common denominator of 17/8 and (14/24)/((-1)/v)?
8
What is the common denominator of (-1)/(-2 - (-23)/7) and 34/49?
441
Suppose 0 = -d + 2*d - 85. Let t be 3/15 + (-7297)/d. Let x = -15823/204 - t. Calculate the common denominator of -49/10 and x.
60
Let u = 1136 - 2315/2. Calculate the common denominator of u and 41/6.
6
Suppose z = 5*z - 88. What is the lowest common multiple of z and (18/10)/((-8)/(-40))?
198
Let y = 5032142/75 + -67094. Calculate the common denominator of -65/21 and y.
525
Let p = -2 + 14. Let l = 22 - p. What is the smallest common multiple of 5 and l?
10
Let a be (1570/1920)/(10/(-54)). Let w = a - 1/960. What is the common denominator of -57/20 and w?
60
Let a(l) = -9*l**3 + 7*l**2 + 9*l + 4. Let t be (-1)/((-4)/(-6))*4. Let f be a(t). Let j = -21571/10 + f. Calculate the common denominator of 121/6 and j.
30
Let x = 2925/4048 + -15/368. What is the common denominator of x and 21/32?
352
Suppose 0 = -p - 3*p - 1168. Let c be (863/(-2))/(6/4). Let j = c - p. Find the common denominator of j and -19/5.
15
Find the common denominator of (0 - -2) + (-1368)/336 and 95/14.
14
Let j(v) = 2*v**2 + 2*v + 1. Let g be j(-1). Calculate the common denominator of 89/4 and g - ((-348)/(-64) + 1).
16
Let o(v) = -2 + 1 + 2 + 3*v - 4. Let x be o(2). Suppose -6*b = -f - 5*b + 7, -31 = -x*f + b. What is the least common multiple of f and 12?
12
Let o = 2/18517 + -2425763/333306. Find the common denominator of -5/33 and o.
198
Let l(m) = 161*m. Let d be l(1). Calculate the common denominator of ((-94)/8)/((-22)/4) and d/(-18) - 10/45.
66
Let x = 24/169 + -15475/676. Let b = 14 + 4. What is the common denominator of b and x?
4
Suppose -15*j + 10*j + 50 = 0. What is the least common multiple of j and 14/3 - (-2)/6?
10
Suppose 0 = -5*k + 31 + 59. Calculate the smallest common multiple of 24 and k.
72
Let w(i) = i**2 - 4*i + 7. Let k = 17 + -12. Calculate the lowest common multiple of 22 and w(k).
132
Suppose -6*w + 20 = -w. Suppose -w*b = 5*z - 8 - 15, 31 = 4*b - 3*z. Let g(q) = -q**2 - 7*q + 11. What is the smallest common multiple of b and g(-8)?
21
Let q(b) = -2*b**3 - 8*b**2 + 2. Let f(p) = -3*p**3 - 15*p**2 + p + 3. Let z(g) = 4*f(g) - 7*q(g). What is the least common multiple of 12 and z(3)?
84
Let r(z) = 8522*z**2 - z - 1. Let y be r(-1). Let u = y + -85339/10. Find the common denominator of u and -109/6.
30
What is the common denominator of 172/(-47)*8/32 and -35/6?
282
Let a = -13812 - -276333/20. What is the common denominator of -3/2 and a?
20
Let j(y) = 2*y - 4*y - y**3 - 10*y + 8*y**2 - 7 + 3*y. Let g be j(7). Calculate the common denominator of (-7)/g - 310/12 and -101/18.
18
Suppose b + 2 = 8. Calculate the least common multiple of 8 and b.
24
Let w be (6/(-4))/((-1)/(-2)). Suppose -3*k - 22 = i, -k - 2*k = -5*i - 38. Let p = w - i. Calculate the smallest common multiple of 8 and p.
56
Let o(h) = -h**3 + 10*h**2 + 6*h + 11. Find the common denominator of o(11) and (-68)/45 - 4/(-10).
9
Let x = 92707/27464 + -2/3433. What is the common denominator of 77/20 and x?
40
Let u = 11132867/6370 + -1101/3185. Let z = -1749 + u. What is the common denominator of z and ((-91)/4)/(0 + -1)?
28
Let r(o) be the third derivative of o**5/60 - o**4/12 - o**3/3 - 3*o**2. What is the smallest common multiple of r(6) and 16?
176
Suppose -5*r = 0, a - 20 = -4*a + 2*r. Suppose v + a*v - 70 = 0. Suppose 5*q + 4*x = -x + 50, -q - 2*x + 14 = 0. What is the least common multiple of v and q?
42
Let c = 4 + -2. Suppose -t + c = -7. Find the common denominator of 9/4 and (121/18)/(3/t).
12
Let c = -14 + 18. Calculate the least common multiple of 9 and c.
36
Calculate the lowest common multiple of (7/3)/((-1)/(-3)) and (4 - (-9 - -4)) + -4.
35
Let w = 140 + -968/7. Suppose -2*u = 4 + 2. Find the common denominator of w and u + 4 - (-51)/7.
7
Suppose g + 2*a - a + 7 = 0, -4*a = 4. Let f = g - -12. What is the least common multiple of 2 and f?
6
Let f be 0/(-1)*(-1)/(-3). Suppose 3*q = 4*u