0 = -5*o + l. Let a = o + 4. Suppose -3*d = 0, -22 = -4*p + a*p - 3*d. Calculate the least common multiple of p and 6.
66
Calculate the common denominator of -25/156 and ((-475)/(-15))/((-4)/3).
156
Let t be 1*3/(3/5). Suppose -5*q = -4*w - t, -3 - 14 = 4*w - q. What is the common denominator of 1/(w*(-1)/(-19)) and -43/5?
5
Let v = -139459/22 - -6337. Calculate the common denominator of v and -63/4.
44
Let q(d) = d**2 + 3*d - 7. Let l(k) = -k**2 - 8*k - 2. Let n be l(-8). Let i = -3 + n. What is the smallest common multiple of 4 and q(i)?
12
Let g = -7 - -5. Find the common denominator of (-87)/(-2) + 2 + -3 and g/(-5) + 399/40.
8
Let k be 48/(-13100)*35/2. Let n = k - 5989/2620. Calculate the common denominator of (1 + -3)*(-93)/120 and n.
20
Let p = 1056 - 5309/5. Calculate the common denominator of 28/11 and p.
55
Let q = 41 + -27. Let t be (2*3)/(q/(-7)). Let b = 5 - t. Calculate the least common multiple of 18 and b.
72
Suppose 5*i - 20 = 3*i. Calculate the lowest common multiple of i and 54/10 + (-4)/10.
10
Let o be ((-1)/40)/((-7)/2752666). Let p be (-186)/(-4)*634/(-3). Let v = p + o. Find the common denominator of v and 67/22.
220
What is the lowest common multiple of 25 and ((-63)/(-35))/((-1)/(-5))?
225
Let o = -16 + 22. Calculate the smallest common multiple of o and 11.
66
Suppose -6*d + 2 + 28 = 0. What is the smallest common multiple of d and (-215)/(-15) - 4/(-6)?
15
Let x(p) = 24*p**2 + 2*p - 1. Let d be x(1). Suppose -5*q + 10*q = d. What is the lowest common multiple of q and (4/(-3))/((-220)/165)?
5
Let n(b) = -2 - 2 + 3 + b - 2. Calculate the smallest common multiple of 10 and n(4).
10
Suppose -3*y - 2*y = -20. Suppose -y*i + 55 = -3*s, 5*i - 23 = 2*s + 37. Calculate the least common multiple of 6/((-7)/((-28)/3)) and i.
40
Suppose h + 20 = -3*h, -4*f + h + 65 = 0. Let b = f + -6. Let r = 26 - 20. Calculate the least common multiple of r and b.
18
What is the common denominator of (22/3)/(7 + (-54)/30) and -23/10?
390
Suppose 0 = y - l + 6, 4*y + l + 0*l = -34. Let d = y + 8. What is the common denominator of 11/10 and d/4 - (-26)/7?
70
Let r = 289 - 418. Let y be 3/(-9) - 35/r. Let z = -335/86 - y. What is the common denominator of -79/2 and z?
6
Let o be 1 - (-10108)/(-144) - 0. Let a = o + 640/9. Calculate the common denominator of a and -37/12.
12
Suppose 0 = -5*c + 25, -35 = r + c - 2*c. Let n = -16 - r. Calculate the smallest common multiple of 8 and n.
56
Let j = -1213/8 - -144. Suppose -m + 5 = 3. What is the common denominator of 1/(-14)*m - -1 and j?
56
Let n = 22 + 92. Calculate the common denominator of ((-6)/(-4))/(21/n) and 77/2.
14
Suppose -3*v = 2*n - 30, 17 = 4*v - 5*n - 0. Calculate the smallest common multiple of v and 36.
72
Let y = -10 + 16. Let h(v) = 6*v. Let k be h(3). Calculate the smallest common multiple of (-436)/(-22) + k/99 and y.
60
Let p = -15056 - -271099/18. What is the common denominator of p and -47/9?
18
Calculate the common denominator of -3 + (-1)/22*-101 and 97*-1*(-2)/44.
22
Let n(b) = b**3 - 3*b**2 + b - 4. Calculate the lowest common multiple of n(4) and 0 + (6*20/6)/2.
80
Suppose -5*a = 4*d - 179, -5*d - 2*a = a - 214. Suppose -5*u + d = -5*f + 4*f, -4 = 4*f. Calculate the least common multiple of 20 and u.
40
Let f = -67 + 24. Let g = f + 98. Calculate the common denominator of 83/20 and (-122)/4*(-5)/g.
220
Let f(g) = -5*g - 19. Calculate the smallest common multiple of f(-7) and 194.
1552
Suppose k - 66 = -2*k. What is the least common multiple of 18 and k?
198
Suppose 4*m + f = 17 + 9, 0 = 4*m - 4*f - 36. What is the smallest common multiple of 3 and m?
21
Suppose 0 = 2*j - 10 - 0. Calculate the smallest common multiple of j and 8.
40
Suppose -2 = f + 5*t, -f + 3*t + 2 = -4. What is the lowest common multiple of f and 6?
6
Suppose -5*q - 10 = 5*t, q + 18 = t - 3*q. Calculate the common denominator of (t/(-4))/((-20)/(-152)) and -35/9.
45
Let p(s) = -s**2 + 2*s - 1. Let h be p(3). Calculate the common denominator of -73/10 and (2/h)/((-3)/237).
10
Calculate the least common multiple of 4/5*30/4 and 6*((-18)/36)/((-1)/3).
18
Let a = 15 + -11. Let d be ((-112)/5)/(a/(-470)). Let x = d + -31609/12. What is the common denominator of x and -97/18?
36
Let i = -28 + 36. What is the smallest common multiple of i and 4?
8
Let f = 11 - 3. Calculate the lowest common multiple of (-4 + 2/1)*-1 and f.
8
Let x = -41 + 56. Calculate the lowest common multiple of x and 12.
60
Suppose -2*p + 11 = -5. Suppose 4*x - 60 + 20 = 0. What is the smallest common multiple of p and x/(-15)*9/(-1)?
24
Suppose 3*v - 3*w + w - 37 = 0, -3*v + 29 = 2*w. Let b = v + -2. Suppose 0 = 2*t - 25 + 3. What is the lowest common multiple of b and t?
99
Let x(n) = -n**2. Let r be x(1). Calculate the lowest common multiple of (-2)/(-4) - (-46)/4 and 10/5 - 10/r.
12
What is the lowest common multiple of (-1)/(-2)*-6 - -15 and 14?
84
Let q(u) = -2*u - 3. Let x = -16 + 6. Calculate the lowest common multiple of -3 - x - (3 - 1) and q(-3).
15
Suppose 5*s - 89512 = -4*k, 2*s + 5*k - 6112 = 29686. Let i = 393821/22 - s. Calculate the common denominator of (-4)/18 - 1126/(-288) and i.
176
Let f(p) = -p**2 - 15*p + 45. Calculate the smallest common multiple of 7 and f(-17).
77
Suppose -9 + 25 = 3*l - 4*n, 0 = 2*n + 2. Let c(o) = o**2 - 7*o + 4. Let r be c(6). Let v = 5 - r. What is the smallest common multiple of l and v?
28
Let n = 9616/4515 - 19/301. Find the common denominator of 163/30 and n.
30
Suppose 9*w - 2*w = -7. Let m = -4/15 - -113/30. Find the common denominator of m and w/(-18)*(-83 + 6).
18
Let i = -1640 + 3345/2. Let m = -39143/20 + 1958. Find the common denominator of m and i.
20
Let s(h) = 28*h**3 - h - 5. Let r be s(4). Let f = 24937/14 - r. Calculate the common denominator of f and 87/20.
140
Let o(h) be the third derivative of -h**5/60 + h**4/24 + h**3/2 + h**2. Let t be o(3). Let c = t + 5. Calculate the least common multiple of 4 and c.
4
Let c = 4 + -2. Let m(k) = -3*k - 3. What is the lowest common multiple of c and m(-3)?
6
What is the common denominator of -6 - -9 - 144/33 and 69/4?
44
Let m = -129641/12 - -10811. Calculate the common denominator of m and -85/6.
12
Let m = 27/187 - 7189/1870. What is the common denominator of 61/14 and m?
70
Calculate the common denominator of -107/18 and 1/(1/3) - 104/21.
126
Let o be -3 + (-2)/(1 + -2). Calculate the smallest common multiple of 4 and 0 - (o - -2 - 2).
4
Let t(s) = -s**3 - 19*s**2 + 19*s - 8. Calculate the lowest common multiple of (-1)/2 + (-29)/(-2) and t(-20).
84
Let j(v) = 3*v**2 - 14*v - 7. Let g(x) = x**2 - 5*x - 2. Let p(z) = 11*g(z) - 4*j(z). What is the lowest common multiple of 12 and p(0)?
12
Let l(b) = -7*b + 1. What is the least common multiple of l(-1) and 19/2 - (-48)/(-32)?
8
Let c(j) = j**2 + 3*j + 10. Calculate the smallest common multiple of 22 and c(-5).
220
Let t be (1/(-2))/(19/342). Suppose -5*c = -4*c - 1. Calculate the least common multiple of c and (t/9)/((-1)/1).
1
Let y = 644/9 + -7102/45. Let b = y - -333/5. What is the common denominator of 1/6 and b?
6
Suppose -6*w + 2*w = -20. Suppose -2*t - w = -3*t. Suppose -k = -4*p - 38, -41 - 57 = -t*k - 3*p. What is the lowest common multiple of 16 and k?
176
Let v = 21613/6 - 3610. Find the common denominator of v and 87/14.
42
Suppose 3*w - 4461 = 6480. Let k = -29251/8 + w. What is the common denominator of 53/10 and k?
40
Let i = 384379 - 26904457/70. Let d = i - 4/35. Calculate the common denominator of d and 73/2.
2
Suppose 61 = 3*k + 5*i, 4*i - 45 = -2*k - 1. Calculate the lowest common multiple of k and 24.
24
Let c be (-10)/15 - (-4)/6. Let w = c + 10. What is the least common multiple of w and 11?
110
Suppose 0 = k + 5*v - 0*v - 17, 0 = 3*k + 2*v - 12. Suppose -q = -3*w + 1, -5*q + k*w - 3*w = -11. What is the least common multiple of 7 and q?
14
Let q be 3607154/(-14428584) - (-4)/16. Let x = 181452068801/18035730 - q. Let s = 10050 - x. Calculate the common denominator of s and 7/3.
30
Let q = -14385/8 - -1794. What is the common denominator of q and 83/8?
8
Let t be (2158 + 12)*3/26. Let i = -70219/286 + t. What is the common denominator of i and 57/2?
22
Let n = 354 + -5657/16. Find the common denominator of n and 57/(-3)*2/(-80).
80
Let t(k) = 0*k**2 + 1 - 1