e k(5). Let f = q + 40. Let o(s) = -s**2 + 13*s - 16. What is the lowest common multiple of 6 and o(f)?
6
Let i(p) = p**3 + p + 2. What is the least common multiple of i(0) and 10?
10
Let f(h) = -h**2 + 7*h - 4. Let g be f(6). Let c be g - 67393/(-10) - -2. Let a = c - 6735. Find the common denominator of -31/5 and a.
10
Suppose -3*a + 4*f = 33, 2*f - 33 = 3*a + 6*f. Let h = a - -16. What is the least common multiple of 11 and h?
55
Suppose -3*c + 4 + 8 = 0. Suppose 0 = 3*u + 62 + c. What is the common denominator of 4/22 - 205/u and 15/2?
2
Let v(u) = u**2 + 8*u + 6. Let l be v(-6). Let x = 14 - l. Calculate the lowest common multiple of x and 4.
20
Let l = -65/582 + 1676875/6402. Let t = -264 + l. What is the common denominator of 91/6 and t?
66
Let g be (0 + 1)*(1 - 1). Suppose 7 = 2*c - 3, 5*a - c - 95 = g. Suppose -7*m = -2*m - 100. What is the smallest common multiple of m and a?
20
Let n = 60863/12 + -5079. What is the common denominator of -113/10 and n?
60
Let l = -14 + 24. Calculate the lowest common multiple of l and 6.
30
Let k = 34459/3 - 33410/3. Let m = k - 375. Let t = 2398 - 7268/3. What is the common denominator of m and t?
3
Suppose -2*m + 0*w = 3*w - 18, -18 = -4*m + 3*w. Calculate the least common multiple of m and 7.
42
Let l(m) = 2*m - 11. What is the common denominator of l(0) and -83/4?
4
Let l = -25/3 - -233/6. Find the common denominator of 7/6 and l.
6
Let l = 29 + -21. Let p = l + -8. Suppose 20 = -p*s + 4*s. What is the smallest common multiple of 11 and s?
55
Let p = 106733/1105 + 2/221. Let j = -98 + p. Calculate the common denominator of -35 and j.
5
Suppose -3*y = -8 - 4. What is the smallest common multiple of 10 and y?
20
Suppose 3*y = 2*y + 8. Suppose 3*g = 23 - y. Suppose -2*a = u - 4, -g*u + 0*a = -5*a - 5. Calculate the smallest common multiple of u and 3.
6
Let s(f) = f + 14. Let y be s(-11). Suppose -y*x - 16 = 8. Calculate the smallest common multiple of 22 and x/(-2) - (0 + 0).
44
Let c(k) = -k**3 - 9*k**2 - 4*k - 1. Let l be c(-8). Let s = -47 - l. Find the common denominator of 63/16 and s/6*(-30)/(-16).
16
Let r(h) = h**2 + h + 4. Let z be r(0). Suppose 0*l + 48 = 4*q + 4*l, -z*l = -3*q + 64. Suppose 6*p = 3*p + 42. Calculate the lowest common multiple of p and q.
112
Let c = -3 + 4. Let i be 5/((-5)/6) - c. Calculate the lowest common multiple of (1*-14)/(7/i) and 14.
14
Let h = 1395/782 + 129/46. Let w = -1837629/379423 - 36/2029. Let b = w + h. Find the common denominator of -91/10 and b.
110
Let u = 72507/5 + -14630. Let a = -128 - u. Find the common denominator of -49/4 and a.
20
Let x(w) = -w**2 - 10*w - 12. Let y be x(-8). What is the lowest common multiple of 12 and (-32)/3*(-6)/y?
48
Let t = 180/31 + 117/124. Find the common denominator of 71/22 and t.
44
Suppose -p = -4*p - 4*z + 49, -2*p = -z - 18. Let f(y) = -y**3 + 3*y**2 + y + 2. Calculate the smallest common multiple of f(2) and p.
88
Let l = -20/5119 - 669189/358330. Calculate the common denominator of 27/4 and l.
140
Suppose 0*j = -4*j + 4*v + 56, 0 = 4*j - 2*v - 52. Suppose -2*d = o - 45, -5*d + 55 + 25 = -4*o. Calculate the least common multiple of j and (-3 + 2)/((-2)/d).
60
Let j = -605 + 615. What is the smallest common multiple of j and 64/6 + 4/(-6)?
10
What is the common denominator of ((-10)/4)/(9/(-2)) and 76/(-18)*9/(-6)?
9
What is the common denominator of 3 + 0 - 63/(-30) and 37/4 + -2 - 0?
20
Calculate the least common multiple of 2 and 36/(-15)*(540/(-8))/9.
18
Calculate the common denominator of 4/9 and ((-1)/(-3))/(126/(-490)).
27
Let k = -3842 + 61533/16. Find the common denominator of (-31)/(-3)*(-9)/(-42) and k.
112
Let x = -1599 - -3277/2. What is the common denominator of x and 121/6?
6
Suppose 0 = -22*z + 25*z - 99. Let k = 155969/12680 - 1/2536. Find the common denominator of k and z.
10
Suppose -x = h - 6*h - 31, 3*x - 4*h = 38. What is the lowest common multiple of 6 and x?
6
Calculate the common denominator of (657/(-72))/((-9)/(-4)) and -79/24.
72
Calculate the smallest common multiple of 4/5 - 348/(-15) and 18.
72
Let l = -73/205 - 10/41. Let v(g) = -2*g**3 + 12*g**2 - 4*g - 15. Calculate the common denominator of v(5) and l.
5
Let t = -12446/2799 + 2/933. Let q be 20/(-9) - (-6)/27. Calculate the common denominator of (1/q)/(2/78) and t.
18
Let t(s) = s**2 - 3*s. Let c be t(7). Suppose x = 3*x - c. What is the least common multiple of 2 and x?
14
Let w = 6535 + -65253/10. Suppose -2*g = 5*a - 94, 21 = 4*a + 3*g - 57. What is the common denominator of w and 3/6*(-148)/a?
90
Let n = -93 - -101. Calculate the lowest common multiple of n and 24.
24
Let u = -7843/40 + 956/5. Let a = -3106/5 + 81291/130. What is the common denominator of u and a?
104
Suppose -b + 2 = 4. Calculate the common denominator of -8 + 9 + 75/8 and ((-195)/9)/(b/3).
8
Suppose -16 = -l + 5*r + 1, 4*r + 2 = -5*l. Calculate the smallest common multiple of 6 and l.
6
Calculate the common denominator of -4/3 and ((-102)/(-27) + -6)/(2/21).
3
Suppose 0*y + 16 = 4*b - 5*y, 5*b = -4*y + 20. Suppose 88 = -0*x + b*x. Let n(t) = t**3 - 8*t**2 - 7*t + 2. Calculate the least common multiple of n(9) and x.
220
Let y = -4/93 + 1562/279. Let p(h) = 6*h**3 + 7*h**2 + 4*h - 5. Let j be p(-4). Let v = -563/2 - j. What is the common denominator of v and y?
18
Find the common denominator of (2 + 340/(-176))*-38 and 3*(142/(-12))/1.
22
Find the common denominator of 13/7 and ((-32)/15 - -2)*-36.
35
Suppose -12 = -6*g + 3*g. Suppose 0*j = -g*j - 3*h + 39, 4*j - 2*h - 54 = 0. Calculate the smallest common multiple of 4 and j.
12
Suppose 0 = a + 3*l - 21, -5*l - 108 = -5*a + 97. Suppose -54 - a = -5*m. What is the lowest common multiple of m and 14?
126
Suppose 4*m + 8 = -0. Calculate the least common multiple of 20 and m/(-4) - (-14)/4.
20
Let k(n) = -2*n - 9. Let y be k(-6). Suppose 0 = -2*l - 5*j + 12, 2*j - 8 = -y*l - l. What is the smallest common multiple of 7 and l?
7
Let p = 443 + -677. Let z be 4/10 + p/(-15). Let q = z + -10. What is the least common multiple of 3 and q?
6
Suppose 4*d + 96 = -4*j, -3*j - 3*d = -6*j - 54. Let a be (j/(-9) + -2)*-3. Find the common denominator of 0 + a - (-3)/66 and 121/20.
220
Let l = 6173/4 - 1560. What is the common denominator of l and 95/8?
8
Let b = 6 + -4. Suppose 0 = i - 5*j + 6, -3*i + 3*j + 10 = 2*j. What is the smallest common multiple of b and i?
4
Let m be (-8)/56 - 394/1750. Let g = m - -11309/500. Find the common denominator of -71/10 and g.
20
Let r = 35 - 19. Let t = 6 + 4. Calculate the lowest common multiple of r and t.
80
Let s be ((-10)/8)/((-4)/16). Suppose 0 = -w + 6*w - s. What is the least common multiple of w and 4?
4
Let c = 4/225 + 10547/1575. What is the common denominator of c and (-2)/(-6) - 33*(-2)/(-30)?
105
Let w = -127 + 1135/9. Calculate the common denominator of w and 121/6.
18
Let l(c) = -2*c - 4. Let h be l(-9). Suppose 2*w - 4*v = 18, -w - h = -2*w - 3*v. What is the smallest common multiple of w and 3?
33
Suppose 17 = 3*u + 5. Suppose m + 0 = 5, -3*t = u*m + 46. Calculate the common denominator of 151/18 and (-4)/(-2) + 129/t.
198
Let l = -2 + 6. Suppose q - l = -q. What is the smallest common multiple of q and 10?
10
Let p be 130/4 - (-13)/(-26). Find the common denominator of -77/6 and 2*166/p + -3.
24
Let a(h) = -3*h + 1. Let t be a(1). Suppose 3*i = 24 + 24. Calculate the smallest common multiple of t*((-6)/(-3))/(-2) and i.
16
Let w = -18334/15 - -1225. Calculate the common denominator of w and 28/5.
15
Let t be 1424/(-10)*(-3)/12. Let m = -37 + t. Let g = 92426/23769 - -1/2641. Calculate the common denominator of g and m.
45
Let d(g) = g**2 + 3*g + 3. Let p be d(-2). Let z = p - 5. Calculate the lowest common multiple of (3 + -1)/(-2)*z and 11.
44
Let d = 11 - -7. Calculate the lowest common multiple of d and 12.
36
Let a = -12 - -2. Let j be (a/6)/(1/(-6)). Suppose -8 = -2*r + j. Calculate the least common multiple of 1 and r.
9
Suppose 5*c = 5*q - 35, -q + 3*q - 3*c - 15 = 0. Calculate the smallest common multiple of q and 6.
6
Let l = -38/523 + 1399101/1046. Let f = -6663/5 + l. Let w = 2719/6 + -451. What is the common denominator of f and w?
30
Let v = 9 - -3. Calculate the smallest common multiple of v and (-18)/(-30)*(2 - -28).
36
Let a = -7016 - -112341/16.