 and v.
105
Let p be 2/(2 + 8/(-5)). Let h(k) = 3*k**2 + 4*k. Let r be h(-5). Suppose 43 = 5*d + m, 5*m + 0*m - r = -p*d. What is the least common multiple of d and 4?
8
Let u = 11/13 - 1025/182. Let t = 289/12 + -49/4. Calculate the common denominator of t and u.
42
Let b be (14/6)/(1/(-48)). Let g be (-3 + 7)/((-4)/10). Calculate the least common multiple of 10 and b/(-5) - (-4)/g.
110
Suppose 3*k - 5 = -23. Let s be ((-4)/k)/(2/(-6)). Calculate the common denominator of 1/5 and (s - 45/21) + 2.
35
Let y(l) = l**2 - 15*l + 6. What is the lowest common multiple of 9 and y(15)?
18
Let u = 12115/6 + -2004. Let s = -103777/78694 + 2/3577. Find the common denominator of u and s.
66
Let k(r) = 4 - r**2 + 4*r + r + 0*r**2. What is the smallest common multiple of (1*-2 - -3)*2 and k(5)?
4
Let f(i) = -i**3 - 8*i**2 - 7*i + 5. Suppose 4*q - 4*y - 40 = 0, 4*q - y = 2*y + 39. Let o = q - 16. What is the smallest common multiple of f(o) and 2?
10
Let q = -8 - -9. What is the least common multiple of q and 3?
3
Let q(j) = -6*j**2 - 2*j + 1. Let y be q(1). Let r = y + 15. Let s(a) = -a**2 + 7*a - 2. What is the lowest common multiple of r and s(5)?
8
Let j = -587142269021/3460 - -169694295. Let l = 19/346 + j. Find the common denominator of 33/2 and l.
20
Suppose -2*r - 3*r = -20. Calculate the least common multiple of r and 8.
8
Suppose 4*n - 5*n + k + 4 = 0, 2 = n - 2*k. Suppose 0 = 2*z + 14 - 18. What is the lowest common multiple of n and z?
6
Let v(l) = 2*l**2 + 8*l + 3. Let u be v(-5). Let f be 3/((-3)/u) + 2. Let p = 16 + f. Calculate the smallest common multiple of p and 10.
10
Suppose 21 = -4*q - 5*x, 0 = -q - 0*x + x + 6. Calculate the smallest common multiple of 6/9 + 2/6 and q.
1
Suppose t = 6*t + 10. What is the least common multiple of 8 and t/(-2) - (3 + -20)?
72
Let s(i) = -i**3 + 5*i**2 + 17*i - 14. Suppose 4*w = -6 + 50. What is the least common multiple of w and s(7)?
77
Let t(c) = 30*c**2 + c. Let i be t(-2). Let s = -68 + i. Calculate the common denominator of 0 + s/3*3 and 59/3.
3
Let i be 7/(-1)*(-2)/(-2). Let s = i - -17. Let q = 2 + 2. Calculate the least common multiple of q and s.
20
Let m(w) = 96*w - 2. Let x be m(-3). Let k = x - -1125/4. Find the common denominator of 103/18 and k.
36
Let q(g) = -g**3 - 8*g**2 - 8*g + 8. Let l be q(-7). Suppose -3*z + 51 = -5*m + 2*m, 3*m - l = 0. What is the smallest common multiple of z and 2?
22
Let q be 0/((0 - 3)/3). Suppose 16 = -q*d + d. What is the least common multiple of d and (12/9)/((-4)/(-54))?
144
Suppose -5*j + 5*x = 10, -3*x + 19 - 5 = j. Let s(q) = 2*q + 2. Let k be s(j). What is the least common multiple of 45/6*4/k and 7?
35
Let p(y) = -y**3 + 7. Let v be p(0). Suppose 3*j - v*j + 80 = -5*i, -100 = -5*j + 2*i. Calculate the lowest common multiple of (1 - -2)/((-3)/(-4)) and j.
20
Suppose 2*l - 5*u + 33 = -2*u, l + 27 = 5*u. Let x = 107 + l. Find the common denominator of -3/8 and ((-3)/10)/((-4)/x).
8
Let r(p) = -p**3 - 4*p**2 + 4*p + 1. Let f be r(-5). Find the common denominator of 2/f + 3/12 and (-36)/462*63/(-4).
132
Suppose 2*x + 5*l + 14 = 0, 5*x + 2*l = -3*l - 20. Calculate the common denominator of 97/8 and x + 3 - (-39)/14.
56
Let j be 15937/(-253)*1/14. Let n = 117/161 + j. What is the common denominator of 49/18 and n?
198
Suppose 0 = 34*r - 165 - 73. Let p = -2 + 3. Calculate the least common multiple of p and r.
7
Suppose -2*y + 16 = 5*j, 3*j - 10 = -y - 1. Suppose -3*g + 12 = 0, 0*p - 5*g + 24 = 4*p. What is the least common multiple of (4*2)/(1/p) and j?
8
Let z = -49 - -71. Let r = z + -4. Suppose -2*k + 32 = 2*k. Calculate the smallest common multiple of k and r.
72
Suppose 39 = 3*d + 2*d - k, 4*d - 3*k - 40 = 0. Find the common denominator of -51/5 and 4/8 - d/3.
30
Let w(y) = -y - 2. Let s(z) = -4*z**2. Let n be s(-1). Calculate the least common multiple of w(n) and 6.
6
Let a = 17 + -22. Calculate the least common multiple of (2/a)/(4/(-180)) and 4.
36
Let f(z) = z**3 + z**2 - 2*z + 2. Let m = -8 + 26. What is the smallest common multiple of f(2) and m?
90
Let o = 8 - 3. Suppose -5*h - o = 0, -2*l - 3*h + 8*h - 71 = 0. Calculate the common denominator of 77/8 and (l/(-42))/((-10)/(-15)).
56
Let z(x) = 2*x - 3. Let i be z(4). Let c = i + -3. Calculate the lowest common multiple of 14 and c.
14
Let a = -9138 + 191852/21. Find the common denominator of a and 31/8.
168
Let p = 39093 + -3010302/77. Let k = -27/11 + p. Let d = 2/195 + -8791/1560. Calculate the common denominator of d and k.
56
Suppose f - 20 = 5*t, 0 = -t + 2*t. Calculate the lowest common multiple of 4 and f.
20
Let u(m) = 7*m + 5 + m**3 - 17*m - 2*m**2 + 10*m**2. What is the least common multiple of u(-9) and 14?
14
Let x be (-2)/(-2)*20/5. Suppose -20 - 12 = -x*d. What is the smallest common multiple of d and 20?
40
Let k = 22/1491 - 59645/101388. What is the common denominator of k and 41/24?
408
Let f = 2413171 + -19278641/8. Let z = f - 3346. What is the common denominator of z and 34?
8
Suppose -3*o + 8 = 2. Calculate the common denominator of o - (0 - (-67)/(-6)) and 143/6.
6
Suppose -2*j + 17 = -5*g, 1 = -3*j + 5*g + 29. Let k = j - 3. What is the lowest common multiple of 22 and k?
88
Let x = -655/4 - -161. Find the common denominator of -5/18 and x.
36
Let m = 115 - 53. What is the common denominator of -46/7 and m/21 - (-4)/(-14)?
21
Let a be ((-2)/6)/(19/(-684)). Let z = -3 + 7. Calculate the smallest common multiple of z and a/2 - (17 - 18).
28
Let m be (-119499)/(-252) + (-4)/14. Let g = m + -475. Find the common denominator of g and -107/18.
36
Suppose 10 = 11*i - 6*i. What is the smallest common multiple of i and 1?
2
Calculate the least common multiple of 4 and 6/(1*(-12)/(-8)).
4
Let c = 2541 + -22897/9. Let k = -3077/2 - -1573. Calculate the common denominator of c and k.
18
Suppose -3*o = 4*g - 2*o - 21, -g + 2*o = 6. Suppose n = -h - g*n - 24, -3*h = -4*n - 4. Let s = 6 + h. Calculate the smallest common multiple of s and 10.
10
Let a = 2 - 0. Suppose -3*t + 3*f - 1 = 8, -5*t - 2*f + 6 = 0. Suppose 7 = -4*n + 5*u, t*n + 5*u - 17 = -n. Calculate the smallest common multiple of a and n.
2
Let u = -67309 + 337651/5. Let f = u + -226. What is the common denominator of f and (80/(-75))/(1/6)?
5
Suppose -2*f - 9 = -3*z - 34, 3*z = 5*f - 40. Calculate the least common multiple of 55 and f.
55
Let v(z) = -z**3 + 6*z**2 - 4*z - 4. Let l be 19/4 + 1/4. Suppose 3*f - 4*w - 67 = -11, -4*w - 96 = -l*f. Calculate the least common multiple of v(4) and f.
60
Let y = -30756347/14 - -2193596. Let z = y - -3284. Let s = -3865/12 - -932/3. Find the common denominator of z and s.
84
Let v = 1811135/2186461 - 208/251. Let f = v - 566167/139376. What is the common denominator of -31/10 and f?
80
Let m be (-3)/(-12) - (-36)/(-16). Find the common denominator of -2 + (0 - (-351)/48) and 62/22 + m/(-4).
176
Let c be -2 + 1 - (0 + 0). Let y = c - -11. What is the lowest common multiple of y and 10?
10
Find the common denominator of -11 + 10 - 1/32 and 123/40.
160
Calculate the least common multiple of ((6/(-4))/(-3))/(2/36) and 54.
54
Let d = 36 + -31. Calculate the smallest common multiple of 8 and d.
40
Let m be 1 + (-5 - -1) + 6 + -5. Let n = -221 - -156. Calculate the common denominator of 59/7 and (-14)/(-50)*n/m.
70
Let f be 19/3 + 1/(-3). Suppose -3*y + 2*y = -f. Calculate the lowest common multiple of y and -4*3/((-12)/10).
30
Let n = 6625/308 + -20/77. What is the common denominator of n and -145/6?
12
Let v = -780 - -11689/15. Find the common denominator of -14 and v.
15
Let c(u) = u + 1. Let l be c(6). Suppose -6*z = -l*z. Suppose -2*k - k + 30 = z. What is the smallest common multiple of k and 8?
40
Let u(p) be the first derivative of 2*p**2 - 1. Calculate the smallest common multiple of 9 and u(1).
36
Calculate the common denominator of -59/4 and ((-36)/(-56))/1 + -1.
28
Let q = -2 + -50. Suppose 6*l + 3 = j + l, 0 = -2*l + 2. What is the least common multiple of 5 and j/(-20) + q/(-5)?
10
Let m(a) = -a + 8. Let u = -2 - -12. What is the lowest common multiple of m(-6) and u?
70
Let l = 21 - 13. Let h = 47 + -31. Suppose -3*k + h = -44. Calculate the least common multiple of k and l.
40
Let k = -4629 + 55475/12. What is the common denominator of k and -9/32?
96
Let l(x) = x**3 + 9*