 8.
24
Let x be (-3 + 4)*(-267)/(-1). Let d(z) = z**3 + 10*z**2 + 8*z - 7. Calculate the lowest common multiple of d(-9) and (-3)/(-15) - x/(-15).
18
Suppose -5*y + 2*d + 30 = 0, 4*d = -3*y + 8*d + 4. What is the lowest common multiple of 16 and y?
16
Let i be 2/5 - (-348)/5. Suppose 5*r + 5*k = i, 0 = -r - 2*k - 0*k + 10. What is the least common multiple of 14 and r?
126
Let g(p) = p**3 - 7*p**2 + 8. What is the lowest common multiple of 8 and g(7)?
8
Suppose -12 = 5*b + 4*v - 56, 28 = 3*b + 2*v. Suppose 2*y - 3*t = 49, -y = 5*t - 4 - 1. Calculate the least common multiple of b and y.
60
What is the common denominator of -50/3 and 3 + (-5)/(-48)*(-114)/4?
96
Let x(f) = -f**2 + 8*f - 1. Let t be x(5). What is the common denominator of 27/16 and (-4)/t + 1030/224?
16
Let p = 23 + -22. Suppose 0 = -m + 5 - p. Calculate the smallest common multiple of 7 and m.
28
Let g = -7308275 + 643116113/88. Let z = 1372/11 + g. What is the common denominator of 3/4 and z?
8
Let n = 1673/946 - 35/43. Let b = -12819/10 - -1285. What is the common denominator of b and n?
110
Suppose 0 = -2*t + 6*t - 32. Calculate the smallest common multiple of t and 2.
8
Let f be ((-1)/2)/((-3)/13710). Let a = f - 4487/2. Find the common denominator of a and (27/(-120))/((-4)/30).
16
Suppose 2*g - 9 = -3*a, -14 = -3*g - 0*a - 5*a. Suppose k - 1 = -g. Find the common denominator of -56/3 and (-12)/(-55) + k/(-11).
15
Suppose x - 14 = -3. Calculate the least common multiple of 13 and x.
143
Suppose -2*n = n - 15. Suppose n*s - 106 = -36. Calculate the smallest common multiple of 18 and s.
126
Calculate the least common multiple of ((-2)/6)/(20/(-90))*6 and 10.
90
Let q = 22 + -38. Let d = 34 + q. Suppose -4*n + 25 - 5 = -4*h, 0 = -h + 5. What is the smallest common multiple of n and d?
90
Let u be (-3 - 3)/(-2) - -1. Suppose 0 = -u*j + 2*j + 12. Calculate the least common multiple of 6 and j.
6
What is the common denominator of (0 - -1) + (-69)/(-60) and 505/(-90) - (-3)/1?
180
Suppose 7 = -3*s - 8. Let a(q) be the first derivative of -q**3/3 - 4*q**2 - 6*q + 1. What is the lowest common multiple of 2 and a(s)?
18
Let g be (-2)/(-312)*(-508854)/(-1160). Let l = g - -1/1885. What is the common denominator of -7/6 and l?
48
Let a(l) = -3*l + 62. Calculate the least common multiple of a(19) and 162.
810
Suppose 11*z - 112 = 3*z. What is the least common multiple of 8 and z?
56
Let t = -15959 + 223527/14. Calculate the common denominator of 59/10 and t.
70
Let c = -3322/3 - -1098. What is the common denominator of 45/7 and c?
21
Let i = -39475052149245257/108990 - -362189670149. Let o = 2/10899 + i. Find the common denominator of o and -77/6.
30
Let a(w) = -19*w - 4. Suppose 0 = -5*q - 25, 2*l + q + 0 - 3 = 0. Let h be a(l). Find the common denominator of ((-105)/h)/(1*-1) and -35/8.
16
Suppose 506 = -y + 1952. Let p = -434 + 290. Calculate the common denominator of 2/(-6) + y/p and -89/2.
8
Let y = 33736/315 + -950/9. Calculate the common denominator of y and 7/15.
105
Let g be (-2 + 1 + 1)/(-1). Suppose g = 3*b - 4*r - 42, 2*b = 3*r + 25 + 2. What is the smallest common multiple of 14 and b?
126
Suppose 2*v + 2*c - 28 = -2, 0 = -3*v + c + 23. Calculate the smallest common multiple of 21 and v.
63
Let m(u) = 2*u**2 - 11*u + 7. What is the common denominator of m(8) and -12/7?
7
Suppose -r = -0*r - 5. Let i be 33/(-6)*(-4)/1. Calculate the smallest common multiple of r and 4/i - (-388)/44.
45
Suppose -2*k = -5*d - k + 9, 2*d - 2 = 2*k. Suppose 3*z = 2*z + d. Calculate the smallest common multiple of z and 9.
18
Calculate the common denominator of -21/5 and (-20)/(-8)*(-4)/7.
35
Let q = 36 + -21. What is the smallest common multiple of 15 and q?
15
Let f(g) = -2*g**2 - 3*g - 8. Let o be f(6). What is the common denominator of o/(-6) + 2/(-3) and 39/11?
33
Let j = 12973/752 + -1/752. What is the common denominator of j and -93/10?
20
Let t(f) be the second derivative of -f**3/3 - 5*f**2/2 + 4*f. What is the smallest common multiple of t(-6) and 8?
56
Let i = -1478414/5 + 8778301/20. Let x = -142227 + i. Let b = x - 992. What is the common denominator of -47/2 and b?
4
Let y be ((-4)/(-48))/(7/42479). Let g = 3572/7 - y. Let r = -9811/22 + 447. Find the common denominator of r and g.
132
Let p be 2 - (-3 + (-10813)/18). Let k = 605 - p. Calculate the common denominator of -65/12 and k.
36
What is the common denominator of 57/8 and (-1317)/(-459) + (-4)/18?
136
Let c(a) = 35*a + 2. Let d be c(2). Calculate the common denominator of (-2)/4*(d + -7) and 11/9.
18
Suppose v - 4*v - 2 = o, -5*o - 4*v = -12. Suppose -u = -o*u + 18. What is the smallest common multiple of (u/(-9))/(2/(-21)) and 3?
21
Let w be ((-607)/(-10))/(74/(-2)). Let c = 11/185 - w. Calculate the common denominator of c and (5 + -4)/((-20)/194).
10
What is the common denominator of -21/8 and (121/(-6))/((-160)/48)?
40
Find the common denominator of 35/(-20)*(-1)/(-4) and -61/4.
16
Suppose -3 = 2*w - 13. Suppose 13*s - 9*s - 4 = 0. Let j = w + s. What is the smallest common multiple of j and 20?
60
Let w be ((-5)/(-2))/(-5)*-325. Let g = w + -2873/18. Calculate the common denominator of 101/6 and g.
18
Let t = 1/333826 + 1299751527/1335304. Let p = 975 - t. Calculate the common denominator of -38/7 and p.
56
Let x = -14 - -25. What is the least common multiple of x and 5?
55
Find the common denominator of ((-15)/(-4))/(192/20) and -103/10.
320
Calculate the common denominator of -45/8 and 7/14 - 87/20.
40
What is the common denominator of (-128)/(-600) + 8/20 and -133/18?
450
Suppose 0*y + 8 = -2*y. Calculate the common denominator of 219/y*3/(-27) and 71/8 + -1 - 1.
24
Let c = 2/3303 + 280747/13212. Calculate the common denominator of c and -65/2.
4
Let l = -3633 + 94521/26. Find the common denominator of -83/18 and l.
234
Let m be (-20)/(-9) - 4/18. What is the smallest common multiple of 2 and 10/(1 + (-1)/m)?
20
Let p(j) = 9*j**2 + j. Suppose 6*f - 7 = f + w, 4*w = -5*f - 3. What is the smallest common multiple of p(f) and 22?
110
Let q(a) = 13*a**2 - 1. Suppose 0 = -3*m + 2 + 34. Calculate the smallest common multiple of q(1) and m.
12
Let z = -14/19 - -237/38. Find the common denominator of 85/18 and z.
18
What is the least common multiple of 8 and 84/10 + 6/(-15)?
8
What is the smallest common multiple of ((-105)/14)/((-6)/8) and 18?
90
Suppose 0 = -a + 1 + 2. Suppose -5*x = -b + 2*b - 45, a*b = 2*x - 1. Calculate the smallest common multiple of x and 8.
8
Let w(p) = 2*p**2 + 8*p + 4. Calculate the lowest common multiple of 22 and w(-4).
44
Let j = 3297/4 + -29735/36. What is the common denominator of j and 59/10?
90
Let s = 272/35 - -247/70. Calculate the common denominator of -41/8 and s.
40
Let n = 2 - 0. Suppose 36 = 4*k - 0*k. What is the lowest common multiple of (n - 1) + -2 + 3 and k?
18
Let l(j) = 4*j**2 + 1. Let u be (-1)/4 + (-141)/(-4). Suppose -4*o + u = 2*b + 5, -3*o = -15. What is the least common multiple of l(1) and b?
5
Let b(a) = -a**3 - 4*a**2 - 2*a + 3. Let j be b(-4). Let q = j - 9. Let d(z) = -z**2 + 2*z + 2. What is the lowest common multiple of 8 and d(q)?
8
Suppose -3*q - 5*s = 60, -4*s - 13 = -4*q + 5*q. Let u be (-4)/(-10) + 135/q. Let m(i) = -i**2 - 4*i + 6. What is the smallest common multiple of m(u) and 6?
6
Let q = -170289691/20 - -8512704. Let d = -1783 - q. Let u = -4474 - -71675/16. What is the common denominator of d and u?
80
Let a(b) = 15*b + 2*b**2 + 6 - 3*b - 2*b. Calculate the common denominator of -4/3 and a(-7).
3
Let w be (-110)/(-4) + (-1)/2. Suppose -w = i + 2*i. Let u(q) = -q - 7. What is the lowest common multiple of 11 and u(i)?
22
Let c = -1589/2 - -780. Let j(y) = -y**3 - 5*y**2 - 3*y + 5. Let k be j(-4). What is the common denominator of (326/(-4) - k)/(-6) and c?
4
Let b = -22 - -70. Suppose 0*t + t = 4*c + b, -47 = -t + 3*c. Suppose h - t = -3*h. Calculate the lowest common multiple of 9 and h.
99
Let o = 10459/5962 + 5/271. What is the common denominator of o and 17/4?
44
Let m be 1/1 + (-1 - -1). Let h = m - 1. Suppose -4*g + 10 = -h*w + w, -5*g = -4*w + 40. Calculate the least common multiple of w and 11.
110
Let d be 4/4*(-2)/2. Let t be 16/15 + d/1. Let k = -7/120 - t. What is the common denominator of 93/20 and k?
40
Let i = -11 + 27. Calculate the c