Let x(c) = c**2 + 7*c - 4. Let z be x(-6). What is the lowest common multiple of (3 + i/z)*5 and 14?
42
Let a = 69305/9378 + -2/1563. Let n = -9 - -13. What is the common denominator of 111/(-30) - (n - 1) and a?
90
Let t(k) = -k**2 + 7*k - 7. Calculate the least common multiple of t(4) and 12.
60
Let j(t) = -17 + 17 + 22*t**2. Suppose 2 = 4*f + 6. Calculate the lowest common multiple of j(f) and 22.
22
Let v be (0 + 2/5)*70. Let c = v + -27. Calculate the lowest common multiple of 8 and c.
8
Let z = -452 + 1450. Let n be (18/4)/((-1)/z). Let s = n + 44983/10. Calculate the common denominator of s and -83/18.
90
Let s = 472 + -1429/3. Let n be (-46)/(-4)*290/25. Let v = n + -5681/40. What is the common denominator of s and v?
24
Let s = -8 - -8. Suppose f - 6 - 2 = s. What is the least common multiple of 20 and f?
40
Suppose 3*a + 14 = 5*a. Calculate the common denominator of (a/(-28))/(3/(-100)) and 113/10.
30
Let b = -345605/18 - -19206. Find the common denominator of b and -65/8.
72
Suppose -3*p = -0*p - 6. Suppose -p*i + 30 = -2. Calculate the smallest common multiple of 14 and i.
112
Let p = -8 + 12. Calculate the least common multiple of 48 and p.
48
Suppose 6*r - 3*r + 18 = 5*g, -2*r = 3*g + 12. Let i = -5 - r. Suppose -2*s + 3*o + 24 = o, 5*o + 20 = 0. Calculate the smallest common multiple of i and s.
8
Let q = 18 - 15. Suppose q*x - 4 = j, 6 = -2*x + 5*j - 0. What is the smallest common multiple of 10 and x?
10
Let y = -28134/29 + 970. Let t = -815/232 - y. Find the common denominator of 1 + (-83)/4 - 0 and t.
8
Suppose 4*n = -7 - 1. Calculate the common denominator of -53/10 and n/3*(-246)/16.
20
Suppose -5 = -v + 1. What is the least common multiple of v and 5?
30
Let p(w) = -24*w + 3. Let m be p(3). Calculate the common denominator of -87/20 and 1/(-4) - m/(-132).
220
Find the common denominator of (-527)/(-90) - (-3)/30*2 and -57/4.
36
Suppose -158 - 190 = -3*q. Find the common denominator of (-4)/(-6) - q/(-96) and -73/6.
24
Let n be (-217919590)/(-24) + 6/(-24). Let w = n + -2996276227/330. Let y = -1813/5 + w. Calculate the common denominator of y and 83/8.
88
Let f(i) = i**2 - 6*i + 4. What is the smallest common multiple of f(6) and 10?
20
Let b = -17/1479271 + 96816809549/162719810. Let n = -6414/11 + b. What is the common denominator of 113/20 and n?
20
Let p = -30/11 - 95/66. Find the common denominator of 1 - (116/(-6) + -1) and p.
6
Let r = 2687/20 + -603/5. Let d = -585 - -1197/2. Find the common denominator of d and r.
4
Let b = -22 + 31. Let o(x) = x**3 - 8*x**2 - 7*x - 8. Let f(m) = 4*m - 4. Calculate the lowest common multiple of o(b) and f(4).
60
Let n = -69917/220 - -3514/11. Calculate the common denominator of 71/14 and n.
140
What is the smallest common multiple of 2 and (4/8 - -1)*-2 - -21?
18
Let x = -17 - -35. What is the lowest common multiple of 16 and x?
144
Suppose -5*x + 3*t + 105 = 0, -x = 2*x - 4*t - 74. Suppose -4*b + 36 = -b. Calculate the lowest common multiple of b and x.
36
Let i = 569434604/748665 - 1/149733. Let f = i + -771. What is the common denominator of ((-26)/(-5))/(12/(-55)) and f?
30
Calculate the common denominator of ((-102)/8)/((-165)/10) and (-299)/(-40) + (-12)/(-30).
88
Suppose 3*a - 40 = -5*p, 5*p = 7*a - 3*a + 40. Calculate the common denominator of (-55)/(-12) - 1/(-3) and 0/(-10) - 1/p.
24
Suppose -r + 1123 = -30. Let p = r + -8114/7. What is the common denominator of -37 and p?
7
Suppose -3*i = 2*i + 5. Let q = -20 - -29. What is the lowest common multiple of q and i/(-4) - (-245)/28?
9
Find the common denominator of (74/(-28))/(6/7) and 77/20.
60
Let t be (4/(-6))/(14/21). What is the common denominator of t - (2121/24)/(-7) and -77/12?
24
Let h = 5220 - 11047/2. Let w = -140778/17 - -2440555/306. Let t = h - w. What is the common denominator of 24/7 and t?
63
Let h(y) = -y**3 + 2*y**2 + 2*y + 4. Let a be h(3). What is the lowest common multiple of 30/(2 - a/2) and 16?
80
Let m(p) = -p**2 + 3*p - 2. Let a be m(2). Suppose -f = -5*f + 4, -3*v = f - 37. Calculate the lowest common multiple of v and (4 - a)*33/6.
132
Suppose f - 3 = 5. Let l = 2 + f. Calculate the least common multiple of 18 and l.
90
Suppose -24 = -3*t - 3*u, -3*u + 46 = 5*t - u. Suppose -7*b + 2*b = -30. Calculate the smallest common multiple of t and b.
30
Let n(d) = -1304*d**3 + d**2 - d. Let f be n(1). Let y = 627 + f. Let w = -1397/2 - y. Calculate the common denominator of w and 111/22.
22
Let u = -242 - -535/2. Suppose -1 = -3*k - n + 10, 0 = -k - 3*n + 1. Find the common denominator of 2 + k/((-24)/309) and u.
2
Suppose -3*m = 3*z + 2*z + 14, -5*m - 2*z = -2. Suppose -2*n - 100 = -7*n. What is the lowest common multiple of n and m?
20
Suppose -4*q - 14 = -11*q. What is the smallest common multiple of 15 and q?
30
Suppose 2*g + 7 = g. Let q(o) be the third derivative of o**6/120 + 2*o**5/15 + o**4/4 + 5*o**3/6 + o**2. What is the least common multiple of 16 and q(g)?
48
Let h = 6149/1048 - -1/131. Let g = -1687 - -8486/5. Find the common denominator of h and g.
40
Suppose r + 20 = 24. Calculate the least common multiple of r and 18.
36
Let u be (-176)/(-18) + 2/9. Let z = u + -7. Calculate the smallest common multiple of z and 10.
30
Let o = 23 + -16. Let z(k) be the third derivative of -k**6/120 + 7*k**5/60 - k**4/4 + k**3/6 + 3*k**2. What is the lowest common multiple of z(6) and o?
7
Let b be 4/(-6) - 7/3. Let a(p) be the second derivative of -2*p**3/3 - p**2 + 3*p. What is the least common multiple of 9 and a(b)?
90
Let y = -15 + 11. Let z = y + 8. What is the smallest common multiple of 7 and z?
28
Let j = 16 - 5. Calculate the common denominator of j and 51/11.
11
Suppose 3*v = 2*t - 28, -2*v + 49 = 5*t + v. What is the least common multiple of t and 10?
110
Suppose r + 33 = 4*r. Let c be r*1/((-1)/385). Let k = c - -42271/10. Find the common denominator of k and 71/8.
40
Calculate the common denominator of 59/8 and (-4)/(-18) + (-1010)/(-396).
88
What is the common denominator of -93/4 and (0 + -15)/(11/(-1))?
44
Let q(d) = -d**2 + 6*d - 4. Suppose -13*i + 27*i = 140. Calculate the smallest common multiple of i and q(4).
20
Let b be (-1)/((-2)/(4/2)). Suppose -1 = -o + b. Calculate the least common multiple of o and 1.
2
Let f = -808745/356 - -3071/89. Let s be -2253 - (0 - -3) - 1. Let p = f - s. What is the common denominator of 14/5 and p?
20
Let n = -55 + 219/4. Let b = -471 + 1073. Calculate the common denominator of b/(-120) + (-2)/6 and n.
20
What is the common denominator of 14/84 - 197/60 and 7/3?
60
Suppose w + 5 - 47 = -4*z, -13 = -z + w. Calculate the smallest common multiple of z and -1*(-12)/4*-2*-1.
66
Let b(v) = -v**2 + 2. Let o be b(2). Let m be (-10435)/50 - 2/o. Let z = -206 - m. What is the common denominator of -3/4 and z?
20
Suppose 22 = -h + 2*h. Calculate the smallest common multiple of h and 2*6 + 1*-2.
110
Calculate the common denominator of (-1)/(-15)*(-115)/15*1 and 19/24.
360
What is the common denominator of (1/44)/(6/1092) and 77/4?
44
Let u(p) = -p + 8. Let r(l) = -l - 1. Let y be r(5). Suppose 0 = 4*g + 3*s - 46, -g - 2*s = -0*g - 14. Calculate the lowest common multiple of u(y) and g.
70
Suppose -z = 5*g + 22, 0*g - 2 = -4*z - 2*g. Suppose 4*i + 54 + 142 = k, 49 = -i + 5*k. Find the common denominator of 148/30 + (-1)/z and i.
5
Calculate the lowest common multiple of 4*(2 - 9/6) and 11.
22
Let f(s) = s**3 - 2*s**2 - 2*s - 1. Let q(b) = 4*b**3 - 4*b + 3. What is the least common multiple of f(3) and q(1)?
6
Let i = 614/15 - 3061/60. Find the common denominator of (35/(-4) + -1)*-2 and i.
12
Suppose -19 = -i + 2*f, i + 3*f - 4 = 2*f. Let w be 3/i + (-1405)/(-936). Let c = -1/936 + w. What is the common denominator of c and 3/4?
12
Suppose 0 = -2*u + 5*u - 24. Calculate the lowest common multiple of 4 and u.
8
Calculate the lowest common multiple of 9 and 6/4 + -2 + (-1208)/(-16).
225
Let k = -15/284 - -8573/3692. Find the common denominator of (3/8)/((-12)/728) and k.
52
Let l = 5/779 - 62405/13243. Let u = 1133/136 + l. Find the common denominator of u and 23/11.
88
Calculate the common denominator of 2/15 and -2 - ((-50)/12 - -4).
30
Suppose 6*o = 5*o + 4. What is the lowest common multiple of 14 and o?
28
Let a = -17 + 28. Suppose -3 + a = z. Calculate th