(m) = -m**3 + 11*m**2 + 10*m + 14. Let n be w(12). What is the common denominator of 1/8 and 2/n + 7/(-10)?
40
Suppose 5*w + 3 = -3*d, -4*w = 2*d - w + 1. Let m(v) = -v**2 + 5*v + 2. What is the smallest common multiple of (2/d)/(-1)*-16 and m(3)?
8
Suppose 5*k = 5*v + 1158 + 102, 4*v + k + 993 = 0. Calculate the common denominator of (v - 1)*(-2)/48 and 2/2 + (-67)/(-10).
60
Let k = 2298 + -13733/6. Let g = 4410679/177 - 24919. Let a = g - 3845/1416. Find the common denominator of a and k.
24
Let o be (5/10)/(2/828). Let d = 148 - o. Let p = 179/2 + d. Find the common denominator of 95/2 and p.
2
Calculate the least common multiple of -2 + 19/2 + (-1)/(-2) and 18.
72
Let v(x) = -x**2 - 5*x - 1. Let u be v(-5). Calculate the common denominator of 59/7 and (2 + -49)/((-5)/u).
35
What is the common denominator of 20/11 and (-2547)/189 + 8 - 2/(-6)?
77
Let y = 22 + -12. Let n(a) = a**2 + 2*a + 7. Calculate the least common multiple of n(-3) and y.
10
Let w = -248618232/21185 - 1029/8474. Let a = w + 11725. Calculate the common denominator of a and -133/6.
30
Let q(f) = 4*f + 5. Let o be q(-9). Let w = -9 - o. Suppose -2*m = 0, -2*m - m + 12 = 2*c. Calculate the lowest common multiple of w and c.
66
Let y be (-815)/269 - (-1 - 2). Let t = 14289/1076 + y. Find the common denominator of t and -3/7.
28
Let o be 69/15 - (-4)/10. Let h = 5 - 8. Let p = o + h. Calculate the least common multiple of p and 18.
18
Let z = -39 + 55. Let a = z + -11. Let v = -14/403 - -22638/2015. Find the common denominator of v and a.
5
Let y = -13237 - -5352. Let s = y - -71036/9. Find the common denominator of s and 52/11.
99
Suppose -20 - 1 = -3*q. Let o(v) = 4 + 4 + v**2 - 2*v**2 + 6*v. What is the least common multiple of o(q) and 10?
10
Let s = -8/177 - -4336/1947. Let b = 7038960 - 70290033/10. Let a = -9948 + b. Calculate the common denominator of s and a.
110
Let v = 839/20 + -2951/80. Calculate the common denominator of v and -13/22.
176
Let x = -1227882 - -95776351/78. Let u = x - 504/13. Calculate the common denominator of -57/10 and u.
30
Let o = -12 + 7. Calculate the common denominator of 15/14 and 324/(-160) - (-3)/o.
56
Let d(o) = -o**3 + 6*o**2 - 3*o - 4. Suppose -5*m = -37 - 33. What is the smallest common multiple of m and d(4)?
112
Suppose 9*x - 48 = 114. What is the least common multiple of x and 54?
54
Let q = 46 + -39. Let d be (0 - 2)*(0 + -2). Suppose 4*m - 2*n = 12, d*m + 6*n - 2*n = 24. What is the smallest common multiple of q and m?
28
Suppose 0 = -5*i - 15, -4 + 25 = 3*m - 2*i. Suppose -m*q + 3*j + 54 = 0, 0*j = j - 2. What is the least common multiple of q and 14?
84
Let b be 2/(-7) + (-46)/(-14). Suppose 35 = 2*h - 5*j, -2*j = b*h + 3*j - 65. What is the smallest common multiple of h and 10?
20
Let t = -13 + 22. Suppose 3*h + 16 = 5*g - 19, -g + h = -t. What is the smallest common multiple of (4 - 2)*2/g and 4?
4
Let u = -11 - -13. Calculate the least common multiple of 1*(-2)/2 - -9 and u.
8
Let a be (259/28)/(2/8). Let s = a + -19. What is the least common multiple of s and 6?
18
Calculate the least common multiple of 6/(1/((-16)/(-12))) and 10.
40
Find the common denominator of 9/(-21) + 127/(-14) and 3/22.
22
Suppose 17 = x + 5. What is the least common multiple of x and (123/90 - (-6)/45)*8?
12
Suppose l = -2*o + 24, -4*l + 2*o + 56 = -l. Suppose -2*q - 46 = 4*y, 3*y - 2*q = -3*q - 33. Let h = y + 28. What is the smallest common multiple of l and h?
180
What is the common denominator of 48/20 - 2/2 and (-5)/7*(-18)/5?
35
Let t(n) = 5*n + 1. Let p be t(1). Let d be (-16)/10*(-15)/p. Suppose -4*m = -5*m - 3*o + 9, d*o - 10 = -m. What is the lowest common multiple of 7 and m?
42
Suppose -5*d = -18*d + 117. Calculate the least common multiple of d and 29.
261
Let o = -2003/138 + 1/69. Calculate the common denominator of o and -71/12.
12
Let o(s) = -s**2 + s + 20. What is the lowest common multiple of 4 and o(0)?
20
What is the common denominator of -111/22 and (-134)/24 + -1 - -2?
132
Let j = -3398/11 - -18815/66. What is the common denominator of 37/14 and j?
42
Suppose -24 = 3*n - n. Let u = n + 42. Suppose -3*o = -0*o - u. What is the lowest common multiple of o and 4?
20
Let a(m) = m**2 + 8*m + 9. What is the smallest common multiple of 1 and a(-8)?
9
Let f = -114 - -124. Calculate the lowest common multiple of f and 6.
30
Suppose c - 5 = 15. What is the common denominator of -13*-4*(-1)/c and 63/8?
40
Calculate the smallest common multiple of 3/(-6) + 52/8 and 10.
30
Suppose 0 = -2*i + 6. Suppose -d = i*d - 32. Calculate the lowest common multiple of 2 and d.
8
Suppose -4*o = 5*s + 17, -2*o - 10 = 4*s - 0*o. Let m(r) = -10*r**3 + r**2 + r. Calculate the least common multiple of m(s) and 7.
70
What is the lowest common multiple of -1*(-12 - -4)*1 and 5?
40
Suppose -357 = -h + 133. Let p = 1611 - 6503/4. What is the common denominator of p and h/(-15)*(-2)/(-8)?
12
Let v = -29/5 + -187/10. Calculate the common denominator of v and 287/(-49) + (0 - (-2)/1).
14
Let a = 1 + 1. What is the lowest common multiple of -1*(-2 + 3)*-7 and a?
14
Calculate the common denominator of -11/8 and 188/(-24) + (-1 - 0).
24
Let m be 102/27 + (-4)/(-18). Suppose 3*c - 7 = 3*t - m*t, -3*t = -c - 51. Calculate the lowest common multiple of 12 and t.
48
Suppose 4*b + 4*c = -28, -c - 2 = -2*b + c. What is the least common multiple of 20 and 3/(b/132*-6)?
220
Let b = 7/86 - -2395/688. What is the common denominator of b and (2/36)/((-6)/(-225))?
48
Let t = 117 + -77. Calculate the common denominator of 11/7 and 2/5 + (-501)/t.
56
Let f be (4 - -5)/(1/(-15)). Let q = -622 - -1195/2. Calculate the common denominator of f/(-10)*4/(-21) and q.
14
Let n = 11663/4460 + -126/223. What is the common denominator of n and -65/34?
340
Suppose -154 = -2*h + 5*h + 2*s, 5*s + 265 = -5*h. What is the least common multiple of h/15*(-25)/10 and 11?
88
Let y be 10/35 + 220/14. Find the common denominator of 43/22 and (-338)/(-8) + (-12)/y.
22
Let f = 5487/34 + 73295/68. Let n = -2527/2 + f. Calculate the common denominator of n and (-10)/35 + (-50)/14.
28
Let u(p) = p**2 - 4*p - 7. Let z be u(6). Let i = z - 2. Calculate the least common multiple of 6 and (-23)/(-1) - (i + -2).
66
What is the common denominator of -51/2 and 2/(-6) + 1232/(-210)?
10
What is the common denominator of (513/36)/(198/16) and 62/3?
33
Let q(o) = -o**2 + 5*o + 5. Suppose 35 = 5*l - 2*w, 2*l + 0*l - 4*w = -2. Suppose -27 = -4*g + l. What is the smallest common multiple of g and q(5)?
45
Suppose 5*m - 2 - 18 = 0. Let s be m/16 - (-15)/4. Let c = 15 - s. Calculate the smallest common multiple of 5 and c.
55
Let t(u) = 1333*u**2 + u - 1. Let y be t(2). Let a = 17602 - y. Let p = -245313/20 + a. What is the common denominator of 43/22 and p?
220
Let d be (-42)/(-12) + 1/(-2). Suppose 1 = -d*h - 8. Calculate the common denominator of 59/8 and ((-3)/h)/((-2)/(-13)).
8
Calculate the common denominator of (9 + -10)*183/6 and -71/2.
2
What is the common denominator of -107/10 and (1 + 0)/(50/2)?
50
Suppose 0 = y + l - 11, -y - 2*l = -0*y - 14. Let m be (-2024)/(-10) - 4/10. Find the common denominator of 3/y*m/(-15) and 91/22.
220
Let w = 2625 + -52487/20. Let m = 1/2374 + -27309/18992. What is the common denominator of w and m?
80
Let z(p) = 3*p. Let f be (3 + -6)*20/(-6). Let n = 20 - f. What is the lowest common multiple of n and z(2)?
30
Let c = -18 - -12. What is the common denominator of 171/c*6/(-99) and 68/9?
99
Suppose 44 = -5*b - v, -3*b = -v - 3*v + 8. Let q = b - -14. What is the least common multiple of 10 and q?
30
Let y = 965 + -18343/19. Let m = y + -177/76. Calculate the common denominator of 4/11 and m.
44
Suppose -5*n + 7*n = 52. What is the lowest common multiple of n and 6?
78
Suppose 6 = 4*i - 7*i. Let l be 0/i - -4*9. Suppose 3*y + l = 6*y. Calculate the lowest common multiple of y and 8.
24
Let k = 151877/12 + -12666. What is the common denominator of k and -91/20?
60
Calculate the common denominator of 89/2 and 465/(-50) - (-1 - -2).
10
Let y = 122177/14 - 8735. What is the common denominator of 89/2 and y?
14
Let c = -14628 + 351553/24. Let h = c + -3/8. Let b = -1943/10 + 196. Find the common denominator of h and b.
30
Let b be 6/10 + (-486774)/216640. Let v = b - -36/677. Let f =