 = -k**3 - 4*k**2 + 4. Let y be j(-4). Suppose 3*h - y = -5*g, -3*g + 4*h + 14 = -0*h. What is the lowest common multiple of g and 16?
16
Let p(z) = -z. Let r be p(-5). Suppose -34 - 26 = r*a. Find the common denominator of (8/a)/((-14)/129) and 13/6.
42
Let j = -81659/12760 + -1/2552. Calculate the common denominator of 55/(-2) - -4*(5 - 4) and j.
10
Suppose -5*r - 30 = -4*u, 2*r + 4 = -0. Suppose 5*z = k + 50, u*z - 2*k + 11 = 61. What is the smallest common multiple of 12 and z?
60
Let y = -1372234259/46630 - -1715/18652. Suppose 3*v - 88266 = 2*l, 0 = 5*l - 0*l. Let c = v + y. What is the common denominator of -71/10 and c?
20
Let u be ((-12)/(-8))/(4/(-8)). Let d = 33187/6 - 5515. Calculate the common denominator of d and ((-2)/u)/(1/(-32)).
6
Let t be -1 + 14741/7 - -1. Suppose -1253 - 861 = -r. Let q = r - t. Calculate the common denominator of 47/5 and q.
35
Let c = -178/3 + 1373/24. Find the common denominator of 57/10 and c.
40
Suppose c - h - 8 = -1, 3*c + 3*h - 33 = 0. Let n = 15 - c. Let a(t) = 3*t - 1. Calculate the smallest common multiple of a(2) and n.
30
Let q(w) be the second derivative of -w**4/12 - 5*w**3/6 + w**2 - 2*w. Let c = -14 + 9. What is the least common multiple of q(c) and 4?
4
Suppose 10 = 5*t - 5. Suppose -t*r + 25 = h, -3*r + 5*r + 4*h = 0. Calculate the smallest common multiple of r and 6.
30
Let l = 80 - -134. Let w be (-1 + 2)*(l - 1). What is the common denominator of -1*1 + w/54 and 25/18?
18
Suppose -w - 21 = -4*w. Suppose 2 = 3*y - w. Suppose 0 = y*f + j, -5*f + 0*j = -4*j - 17. What is the lowest common multiple of 9 and f?
9
Suppose 1 + 23 = 3*f. Suppose 2*d + 2 = f. Suppose q - 1 = d, -j = -4*q + 11. Calculate the smallest common multiple of j and 4.
20
Suppose v = 26 + 10. Suppose 5*q - q - g - 69 = 0, q = 4*g + v. Suppose 2*m + 0*m = 36. Calculate the least common multiple of m and q.
144
Let h = 234 + -983/4. Calculate the common denominator of 83/6 and h.
12
Let b(g) = -g**3 - 5*g**2 - g + 3. What is the least common multiple of 20 and b(-5)?
40
Suppose 3*g + 5*s = 3*s + 34, -g - 2*s = -18. What is the least common multiple of 4 and g?
8
What is the common denominator of (-56)/12*(44/(-80) - 2) and 37/18?
90
Let c(p) = p**3 - 10*p**2 + p - 6. Let n = 5 - -25. Suppose 0*b = -5*b + n. What is the least common multiple of b and c(10)?
12
Let y = 247246/252497 + 2/5153. Calculate the common denominator of -95/4 and y.
196
Suppose 189 + 119 = 11*l. What is the common denominator of l and 42/19?
19
Let h be 31324/280 + 3/1. Let z = 781/7 - h. What is the common denominator of z and 63/10?
10
Let w = 151 - 104. Suppose -4*j = -5*d - w, d + 13 = -0*j + j. Let z = 21 - -1. What is the smallest common multiple of j and z?
198
Calculate the lowest common multiple of (1/3)/(19/114) and 18.
18
Suppose -5*p + 3*v - 69 = -10*p, 0 = 3*v - 9. Suppose -5*h + 28 = s, 0 = 5*h + 4*s - 19 - 3. What is the smallest common multiple of p and h?
12
Let t be 2/3*1104/32. Let d be (3/9)/((-2)/(-42)). Suppose 0 = -5*o + d + t. What is the lowest common multiple of 3 and o?
6
Suppose 2*s - 6 = s. Let k(d) = d + 39. Calculate the smallest common multiple of k(-28) and s.
66
Let f = 69805/8 - 8714. Find the common denominator of 16/5 and f.
40
What is the lowest common multiple of (-7)/(-2) + (-2)/(-4) and 18?
36
Calculate the lowest common multiple of (1 - 8/6*-6) + -4 and 39.
195
Let q(i) = -i - 12. Let j be q(0). What is the common denominator of (((-380)/(-56))/1)/1 and (4/90)/(j/(-1185))?
126
What is the common denominator of (-47)/(-9)*12/(-16) and (117/6)/(-34 - -1)?
132
Suppose 0*k - 8 = -2*k. Let m be 0 - 2*2/2. Let i(u) = -u**3 + 2*u**2 + 2*u - 1. Calculate the smallest common multiple of k and i(m).
44
Let y = -473/27 - -30647/108. Let t = y + -279. What is the common denominator of t and -5/3?
12
Suppose 4 = -4*n, -4*n = -3*o + 5*o + 26. Let w = 8 + o. Calculate the common denominator of -87/4 and 3 + w + 190/(-4).
4
Let h be (10/4)/(2/20). Suppose 8 - h = -2*y - p, -2*y - 4*p + 8 = 0. What is the smallest common multiple of y and 14?
70
Suppose -7*r = -2*r + 30. Find the common denominator of 1083/330 - r/15 and -45/2.
22
Let u = -17 - -89. Suppose -6*s + 2*s + u = 0. Calculate the least common multiple of s and -6 - 24*(-3)/6.
18
Let t(z) = 4*z + 2. Let u(y) = -y**3 + y**2 - y - 2. What is the least common multiple of t(5) and u(-2)?
132
Let l(o) = 1 - 1 - 1 - 3*o**3 - 3*o**3. Let y be l(-1). Suppose -r - 5 = -6*r + 3*a, 4*a = -y*r + 40. Calculate the smallest common multiple of 9 and r.
36
Let y = -4322685301 + 6899005190765/1596. Let m = y - -52/399. Let t = -2817/8 - m. Find the common denominator of 101/18 and t.
72
Suppose 63 = 4*p - 7*p. Let x(l) = -14*l. Let k be x(-1). Suppose 0*r - k = -2*r. What is the common denominator of p and r?
1
Let p be 6/(-15)*2*613. Let s = p - -494. Let v = 11632 - 116417/10. Find the common denominator of v and s.
10
Suppose -4*d = 3*i - 27, 5*d = -0*d - i + 31. Calculate the least common multiple of 8 and d.
24
Let y(c) = c. Calculate the smallest common multiple of y(5) and 4/((-3 - -2)*-2) - 0.
10
Calculate the least common multiple of 50 and ((-301)/(-63) - -5) + (-4)/(-18).
50
Let v = -264996/41995 - -168/1135. Let t = v + -827/148. Let s = 19701/8380 - 2/2095. What is the common denominator of s and t?
20
Let j be (1/3)/((-4)/(-24)). Calculate the least common multiple of j - (2 + (1 - 3)) and 4.
4
Let i be (1 - -2) + -3 + 703. Suppose -3*c = -2*c - 5*v + 14, -2*v = 0. What is the common denominator of 37/14 and c/63 + i/126?
14
Let w = -86174/8285 - -2/1657. Let s be (9 - -3)*(-35)/(-3). Calculate the common denominator of w and s/18 - 1/3.
45
Let p be (1 - 2)*(-2 + 11). Calculate the least common multiple of 9 and 6/((-1)/(6/p)).
36
Let s(k) = k + 12. What is the least common multiple of 18 and s(-6)?
18
Suppose -3*m = 2*m + 20. Calculate the common denominator of 2 + m - 31/2 and (-5)/(-2)*(-38)/(-8).
8
Let r = -3 + 6. Suppose 3*f = -5*c + 107, -2 = c + r. Calculate the common denominator of -2 - (6/f)/3 and -53/18.
198
Let d(q) = 4*q - 4. What is the lowest common multiple of 4 and d(6)?
20
Suppose 1 = 8*u - 87. Suppose -2*m + 4 + 8 = 0. What is the lowest common multiple of m and u?
66
Let z = 10205 - 183577/18. Find the common denominator of -61/18 and z.
18
Let z(c) be the first derivative of c**3/3 - c**2/2 - c + 6. Calculate the least common multiple of z(3) and 4.
20
Let r = -17 + 21. What is the lowest common multiple of r and 18?
36
Suppose g = -2*g + 21. Suppose b - g = 51. What is the common denominator of 20/11 and (14/(-35))/(2/b)?
55
Suppose -h - 1 = -2*a + 2*h, -5*a + 5*h = -10. Calculate the least common multiple of ((-20)/16)/((-1)/4) and a.
5
Let n = 13 - -8. Calculate the least common multiple of 1 and n.
21
Let k = -15 + 26. Calculate the smallest common multiple of k and 11.
11
Suppose 9 = -5*s - 11. Let q = -1 - s. Calculate the smallest common multiple of q and 9.
9
Let g = -287 - -4587/16. Find the common denominator of g and -71/14.
112
Suppose 7*t - 2*t - 15 = 0. Let f(k) = -k + 5. Calculate the lowest common multiple of f(4) and t.
3
What is the common denominator of (-10)/40*(-74)/(-8) and -99/32?
32
Suppose -2*y - 2*y - 40 = 0. Calculate the common denominator of (26/(-20))/(4/30) and 278/60 - 2/y.
12
Let a = -42/1403 + -44049/356362. What is the common denominator of -55/8 and a?
1016
Let i be (-8)/(0/1 - -1). Calculate the smallest common multiple of 3 and 4/(-2) + i + 12.
6
Suppose 4*o - r = -0*r - 5, 5*r = 4*o + 25. Let k(f) = -f + 20. What is the least common multiple of k(o) and 10?
20
Suppose 3*d = -2*d + 60. Let y be (1 + 677505/d)/(-15574). Let b = -2/7787 - y. Find the common denominator of -37/6 and b.
24
Suppose -2*q = -v, 2*v + 13 = -2*v - 5*q. Let x be (14/(-4))/(v/(-4)). Let k(u) = u**2 + 7*u + 7. What is the least common multiple of k(x) and 7?
7
Let t = 2536 - 27914/11. Suppose 3*v - 2*p + 888 = -5*p, -v - 5*p - 308 = 0. What is the common denominator of t and v/(-70) - (-4)/(-14)?
110
Let z = -2188 + 8807/4. Calculate the common denominator of 2/(-3) + 304/42 and z.
28
Suppose -5*f = -0*f + 2*c - 35, 4*f - 2*c = 46. What is the least common multiple of f and 4?
36
Let f(j) = 6*j**2 + 2*j. Let i(u) = -u**3 + 7*u**2 - 