 Let a be t/(120/(-128457)) - -1. Let m = 5360 + a. Find the common denominator of m and 54/5.
40
Let c = -3357/5 + 679. What is the common denominator of c and -26?
5
Let i(u) = u**2 + 2. Let t(r) = -r**3 + 8*r**2 - 6*r. What is the lowest common multiple of t(7) and i(-1)?
21
Let z(c) = -7*c + 5. Calculate the lowest common multiple of z(-5) and 45.
360
Let u(h) = 3*h + 2. Suppose -4*w - 4*k = -24, -34 = -5*w - 0*k - 4*k. What is the lowest common multiple of w and u(2)?
40
Suppose 7*m = 13 + 15. Find the common denominator of 0 - (-4)/3*11 and (-2)/m + 153/162.
9
Suppose w = k + 7 + 3, w - 8 = -k. Calculate the least common multiple of 10 and w.
90
Let u = -3 - -3. Suppose -s - 5 - 3 = -x, u = -3*x - 3*s - 6. Calculate the lowest common multiple of x and 3 - (-3)/6*-4.
3
Let r(l) = l**2 - l - 1. Let o = 20 + -18. Calculate the least common multiple of 6 and r(o).
6
Let n(a) = a**2 - 3*a + 6. What is the smallest common multiple of 8 and n(5)?
16
Suppose -c - 3 = 0, 5*s - 4*c + 7 = 29. Suppose 0 = s*l - r + 4*r - 4, -r = 0. What is the least common multiple of 4 and l?
4
Let p = -21 - -22. What is the smallest common multiple of p and 3?
3
Suppose r + 3 - 2 = 0. Calculate the smallest common multiple of 2 and (0 - r) + 6/1.
14
Suppose -t - 12 = -3*n, -t + 5*n = -0*t + 22. Suppose 4*i + 7*k - 72 = 3*k, -k + 44 = t*i. What is the common denominator of 77/4 and 15/(-27)*i/(-5)?
36
Let a be ((-3)/(-12))/(88/2972). Let o = 218/11 - a. What is the common denominator of o and -21/5?
40
Let p = 25 - 17. Suppose f = k - p, 0*f - 10 = k + 5*f. Suppose -k*z + 38 = r, -26 = -5*z + r + 2*r. What is the least common multiple of 9 and z?
63
Let i be 6/66*1259133/370. Let o = 216/407 + i. Let s = o - 322. Calculate the common denominator of 79/12 and s.
60
Let n(c) = -2*c**2 - 2*c - 8. Let o be n(6). Find the common denominator of ((-8)/144)/(1/o) and -85/6.
18
Let x(y) = y**2 - 2*y - 1. Let g be x(3). Suppose -3*m + m + 5 = -z, -g*m - 2*z = -2. Suppose m*r + 90 = 7*r. What is the lowest common multiple of 14 and r?
126
Let u = 6391885/72 - 88778. Calculate the common denominator of u and 11/14.
504
Suppose 2*u - 9 = 7. Let d = -8 + 18. What is the smallest common multiple of d and u?
40
What is the common denominator of -41/10 and ((-4)/(-36))/(2/258)?
30
Let k(p) = -p**2 - 7*p + 8. What is the smallest common multiple of k(-6) and 18?
126
Let d = 454251761909706143/294820 - 1540776615938. Let a = d - 2/14741. Find the common denominator of a and (-73)/(-12) - (-3 - -1).
60
Let w be (-6 - 0)/((-40)/(-22)). Let u = 97/20 + w. Calculate the common denominator of u and 4/80*-109 - 0.
20
Let x = 1241/57 + -25/57. Find the common denominator of x and 37/18.
18
Suppose -456 - 311 = 3*g - 5*l, -1017 = 4*g - l. Let p = -1965/8 - g. Let c = 153/16 - 67/48. Find the common denominator of c and p.
24
Suppose 0 = -5*c - 1 - 74. Let f be (2/5)/(3/c). Find the common denominator of (f/(-3))/(4/(-97)) and 7/10.
30
Let a be ((-99915)/(-25))/(28/10). Let r = 1421 - a. Find the common denominator of r and (-4)/(-18)*75/(-8).
84
Let y(a) be the third derivative of a**6/120 + a**5/10 - 3*a**4/8 - a**3 - 3*a**2. What is the smallest common multiple of 16 and y(-7)?
16
Suppose -h + 3*h = 0. Calculate the common denominator of -8/7 and (-3 - h)*292/72.
42
Suppose 2*f = -3*u + 23, -76 = -4*f - 0*u + 4*u. Calculate the least common multiple of ((-99)/12)/(19/(-8) + 2) and f.
176
What is the lowest common multiple of (0 + -6)/(-2) + -1 and 8/(2 + (-9)/6)?
16
Suppose n + 0 - 10 = 0. Suppose 3*b - 1 = 8. What is the smallest common multiple of b*8/12*10 and n?
20
Let r = -661/77 + 100/77. What is the common denominator of 40/(-54)*(0 - -3) and r?
63
Calculate the lowest common multiple of (-84)/98*(-14)/2 and 4.
12
Let x be (14/8)/(77/(-49)). Let o = x - -2311/396. Find the common denominator of o and -93/16.
144
Let w = -8 - -16. Let p(c) be the second derivative of -7*c**3/6 + c**2/2 - c. What is the least common multiple of p(-1) and w?
8
What is the least common multiple of 7 and 70/(-21)*(-12)/5?
56
Let h = -23 + 51. What is the lowest common multiple of h and 22?
308
What is the common denominator of -4 - (-69)/7 - 1 and -53/9?
63
Let r = 7 - -20. What is the smallest common multiple of 27 and r?
27
Let j(o) = -o**3 + 5*o**2 + 2. Let t be j(5). Suppose 25 = -5*k, -t*k = h - 5*k - 61. What is the least common multiple of 2 and h/6 - 6/9?
14
Let z be -2*(53 + 3 + 0). Let k = z + 79. Find the common denominator of (171/k - 1)/(-2) and 35/9.
99
Suppose 0 = -5*p + 2*o + 32, -4*o + o + 4 = -p. Suppose p = 4*k - 3*k. What is the smallest common multiple of 4 and k?
8
What is the common denominator of 4/(-10) + (-578)/180 and (-126)/220 - 6/30?
198
Let z = 42310/5607 + 6/623. Find the common denominator of -19/3 and z.
9
Calculate the common denominator of -40 and 5/((-55)/8) - 3.
11
Calculate the common denominator of -13/4 and (-2 - (-58)/6)*9/6.
4
Let u = -35 + 42. Calculate the smallest common multiple of 4 and u.
28
Let i = -17509 - -245011/14. Let v be 11313/21 + (-2)/(-7). Let r = -1049/2 + v. What is the common denominator of i and r?
14
Suppose -2*m - 34 = -5*y, -15 = -y - m - 4. Calculate the smallest common multiple of y and 1.
8
Let q(o) = -2*o + 48. What is the lowest common multiple of 8 and q(23)?
8
Let g = 6 + -5. Calculate the smallest common multiple of (-910)/(-126) - 4/18 and g.
7
Suppose -4*c = -20, -c = 4*z + 4*c - 41. What is the lowest common multiple of 10 and z?
20
Suppose -2*p - 2*p = 536. Calculate the common denominator of -81/14 and (-27)/(-99)*p/(-12).
154
Suppose -1 = k - 4. Suppose -f = -3 - k. Let d(h) = h + 10. What is the least common multiple of d(0) and f?
30
Let d(h) = -h**2 - 16*h - 16. Calculate the smallest common multiple of 11 and d(-14).
132
Suppose -5*n = 5*h - 130, 3*n - 47 = 3*h + 25. Let b = n + -19. Suppose 4*p - 40 = -0*p. What is the smallest common multiple of b and p?
30
Let j = 8 + -14. Calculate the smallest common multiple of (4/(-5))/(j/165) and -1 + -13*(0 - 1).
132
Suppose 4*r - 9622 = 3*t, 4*t + r - 8261 = -21065. Let c = t - -25663/8. What is the common denominator of c and -81/4?
8
Calculate the common denominator of (10/(70/(-9)))/((-10)/(-7)) and -35/38.
190
Let g = -5364/7 - -770. Calculate the common denominator of g and 32/7.
7
Suppose -2*b + 92 = 4*o, -3*o + 97 = 2*o - 2*b. What is the least common multiple of 51 and o?
357
Let l = -1119 - -6833/6. What is the common denominator of l and (140 + 2)*(-6)/(-192)?
48
Suppose -2*a + 3*a = -5*i - 6, 3*a + i = -18. What is the common denominator of (0 - (-26 + 1))/a and 51/11?
66
Let x be (2*(-52382)/(-68))/46. Let a be 385/(-782) - 7/(-14). Let u = a + x. Find the common denominator of -41/22 and u.
22
Let r = -3442/71 + -3/142. What is the common denominator of r and 41/20?
20
Let c = -83 - -98. Calculate the lowest common multiple of 33 and c.
165
Calculate the common denominator of -101/4 and (122/12)/((-8)/24).
4
Let s = -270211/12471 + 2/4157. Calculate the common denominator of s and 920/(-64) + (4 - 1).
24
Suppose -2*p + 35 = 3*p. What is the common denominator of 17/5*p/14 and 97/8?
40
Let u(h) = 3*h**2 + 0*h - h + h**2 - 1. Let c be u(-1). Suppose c*l = -2 + 22. Calculate the lowest common multiple of 2 and l.
10
Suppose 0 = 3*z - 5*z + 14. Let r = z - 4. What is the smallest common multiple of 1/2 + 33/6 and r?
6
Let o be -1 + 0 + (-48799)/(-6). Let j = 8107 - o. Calculate the common denominator of 133/6 and j.
6
Let s(n) = n**2 + 3*n - 5. Let j be s(-5). Suppose -105 = 2*a + j*f, -3*a + 5*f - 146 = f. Find the common denominator of (-25)/(-4)*(-16)/(-36) and a.
9
Suppose -48 = -4*i + i. What is the lowest common multiple of 12 and i?
48
Let y = -2 + 4. Let w be y/3 + (-196)/(-21). Calculate the common denominator of 2/w + (-277)/(-40) and -57/16.
16
Let b = 195743/31176 - 3/3464. What is the common denominator of b and -41/10?
90
Let w = -4370/11 - -398. Find the common denominator of w and 5.
11
Let d = -4 - -5. Let f = -16965/4 - -4217. What is the common denominator of f and (-111)/(-6) - (d - 0)?
4
Suppose -4*f - 10 = -2. What is the least common multiple of 2 + 0 - (f + 0) and 6?
12
Let v = 9 + 4. Suppose v = -4*x + 57. What is the least common multiple