80 = -d. Let f(n) be the third derivative of -n**6/120 + n**5/10 + n**4/6 - n**3/3 - n**2. What is the lowest common multiple of d and f(6)?
176
Suppose 3*k = -v - 13 + 33, -2*v = -4*k - 10. Suppose -3*t + 32 = t. What is the least common multiple of v and t?
88
Let l = 18 - 13. Suppose 0 = 2*z - l*z + 360. Calculate the common denominator of -69/8 and (-386)/z + 3/(-9).
40
Let f = -158 - -168. Suppose -q - 6 = q + 2*x, 0 = q - 3*x - 17. What is the least common multiple of f and q?
10
Suppose -738 = 4*a + 1054. Let z = a - -3601/8. What is the common denominator of 4/18 - (-2325)/(-378) and z?
56
Suppose g - 6*g + 50 = 0. Find the common denominator of -77/18 and 3/3 - (-17)/g.
90
Let p(i) = -i**3 + i**2 + i - 10. Let f be p(0). Let y = f - -14. What is the common denominator of (((-750)/y)/(-5))/6 and -71/20?
20
Let j(u) = 21*u**2 + 4*u - 3. Let h be j(2). Find the common denominator of h/4 + 5/(-10) and 11/7.
28
What is the common denominator of -2 + 10/4 + 2507/322 and 17/11?
77
Suppose 4*q - 2*q - 16 = 0. Let f(g) = -3*g - 39. Calculate the smallest common multiple of f(-16) and q.
72
Let q = 162 + -40. Let u(v) = -v**3 + v**2 + 4*v - 3. Calculate the common denominator of q/10 + -2 + -2 and u(4).
5
Let u = 520/7 + -498/7. What is the common denominator of 33/2 and u?
14
Let l be (-15)/(3 + (-18)/4). Let z be (-2)/(-5) + 36/l. Calculate the smallest common multiple of (15/z)/(6/32) and 6.
60
Suppose -4*b = -4, 19 - 5 = 2*h - 2*b. What is the smallest common multiple of 22 and h?
88
Suppose 4*d = -d - 100. Find the common denominator of -67/14 and 18/d*150/(-20).
28
Let q be (-2)/10 - (-64)/20. Suppose q*z + 3 = 0, -3*d - d + 10 = -2*z. Calculate the lowest common multiple of 9 and d.
18
Let o(s) = s**2 + 11*s - 11. What is the common denominator of o(-13) and 55/3?
3
Let j(h) = h**2 - 11*h - 2. Let z be j(11). Calculate the smallest common multiple of 4/z - (-154)/7 and 6.
60
Let z = 4/7127 - -2487287/64143. Let k = z - 1517/18. Calculate the common denominator of 7/10 and k.
10
Let u = 3/16702 - -1235867/450954. Find the common denominator of 41/6 and u.
54
Let q be (-1925)/98*(-1 + 2). Let p = q + 64/7. What is the common denominator of p and 23/3?
6
Let s be 1/(-3*3/(-90)). Let k = s + -6. Calculate the lowest common multiple of 18/5 + 6/15 and k.
4
Calculate the common denominator of 47/8 and 47 + -42 + 0 + (-2)/(-8).
8
Suppose 4*a + 3*h - 15 = a, 3*h = 4*a - 27. What is the smallest common multiple of 5 and a?
30
Let n(t) = 114*t**2 + 6*t - 6. Let r(j) = j. Let y(u) = -n(u) - 2*r(u). Let o be y(-7). Let b = o - -55297/10. Find the common denominator of b and 49/2.
10
Suppose 3*m - 1 = 5. Let z = 4 + -1. Let h(x) = x**3 - x**2 - 3*x - 1. Calculate the lowest common multiple of h(z) and m.
8
Suppose 4*c - 5*z + 8*z = 25, -4*c + 20 = 4*z. What is the least common multiple of c and 38?
190
Let l be (0/(-1))/(-1*2). Calculate the common denominator of -41/8 and l/3 + (-40)/18.
72
Calculate the smallest common multiple of 6 and (-6 - -3)/((-6)/20).
30
Let a = -5/1781 + -169155/14248. Find the common denominator of 18 and a.
8
Suppose -131964765 + 2296281 = -4*z. Let n = z + -583286725/18. Let y = 12295 - n. Find the common denominator of y and -85/2.
18
Let c = 45/77 - -58/11. Find the common denominator of -59/49 and c.
49
Calculate the common denominator of -46/15 and (-168)/36 + (-1 - -4).
15
Suppose -m - 2*a = 0, 2*m + 0*m = 2*a. Suppose -2*u - 3*x = x - 2, m = 2*u + 3*x - 4. Calculate the lowest common multiple of u and 6.
30
Suppose 5*n = n + 32. Let p(h) = h - 7. Let g be p(n). What is the smallest common multiple of 22 and -1 + (2 - g - -4)?
44
Calculate the common denominator of 77/18 and (3 + (-14)/5)*(-53)/(-2).
90
Let k = 5 + -8. Let s(n) = -10*n - 1. Let a be s(k). Calculate the common denominator of (2 + a/(-14))*-66 and 20/3.
21
Let c = 713/2 + -349. Calculate the common denominator of c and -36/5.
10
Let g = -7449255/16 - -465400. Let j = 178 + g. Find the common denominator of j and (-4)/54*(-4251)/52.
144
Suppose -48 = -4*m - 12. Suppose -69 = -3*f - m. What is the smallest common multiple of f and 4?
20
Let v = -15 + 22. Let l(m) = 2*m + 8. Calculate the least common multiple of 6 and l(v).
66
Let t(b) = b**2 + 5*b + 1. Let l be t(4). Suppose 5*n + 8 = -g + 49, 4*n + 5*g - l = 0. What is the least common multiple of n and 4?
8
Let b(i) = -64588*i. Let j be b(2). Let p be (-2)/(-11) - j/44. Let t = p - 52825/18. Calculate the common denominator of t and 93/8.
72
Suppose 0 = -0*w + w - 5. Let q(r) = -r**2 + 7*r - 6. What is the smallest common multiple of (-2)/4 - 65/(-10) and q(w)?
12
Let r(c) = c**2 + 5*c + 2. Let q be (-160)/28 - (-2)/(-7). Let j be r(q). Suppose 3*x = j + 10. Calculate the lowest common multiple of 18 and x.
18
Let l(g) = -6*g - 3. Suppose n - 4 = 3*n. What is the lowest common multiple of 4 and l(n)?
36
Let h(g) = -g**2 + 3*g. Let j be h(-3). Let l = -6 - j. What is the lowest common multiple of 20 and l?
60
Let j(y) = y**2 + 5*y - 1. Let m be j(-4). Let g = m - -7. Suppose g*v - 19 = 25. What is the lowest common multiple of 8 and v?
88
Suppose d = -8 - 28. What is the common denominator of -67/3 and d?
3
Let i = -1/236 + -5309/236. Find the common denominator of i and 7.
2
Let n = -975 - -4816/5. Let o = -569756/15 + 5724316/165. Let f = o - -3295. Calculate the common denominator of f and n.
55
Let d = 1/82 - -839/123. Find the common denominator of d and -53/2.
6
Let b = -823232222 - -244821853732464/297391. Let x = -5144888783/806524392 - b. Let w = x + 1/339. Find the common denominator of -111/22 and w.
88
Let d be 340570/(-56)*(-4)/10. Let f = -2176 + 4615. Let a = d - f. Calculate the common denominator of a and -81/16.
112
What is the common denominator of (-122)/16 - 6/(-4) and 40/9?
72
Suppose 9*d - 99 = 6*d. Find the common denominator of -95/22 and d.
22
Let k = 2/541 - 40583/2164. What is the common denominator of k and 4/7?
28
What is the smallest common multiple of 24 and 10*3*10/20?
120
Calculate the lowest common multiple of 20 and -3 - (1 + -3 - 5).
20
Suppose 2*f = -2*f + 64. Calculate the least common multiple of f and 18.
144
Let b = 4 - -1. Find the common denominator of -85/6 and 1 - b/(140/8).
42
Let w = 106789/14 - 7631. Calculate the common denominator of w and 77/2.
14
Let l = -38017/10 + 3795. Let b = 65/19 + -1137/38. What is the common denominator of l and b?
10
Suppose 187 = 10*i + 7. Calculate the smallest common multiple of i and 8.
72
Suppose 4*a = -3*g + 23, 14 = 4*a + 5*g - 19. Suppose -4*x + 2 = -p, 3*p + 8 = 4*x + a. Calculate the common denominator of 145/(-6) - x/2 and 11/16.
48
Let u = -1368/7 + 4517/21. Calculate the common denominator of 39/11 and u.
33
Suppose 8*k = 2*k + 42. Calculate the least common multiple of k and 7.
7
Let t be (-3)/(-2 + 5) - 2. Calculate the common denominator of -13/8 and (t/(-24))/(5/(-218)).
40
Let s = -371/2 + 189. Let k = -2/1581 - -82222/7905. Find the common denominator of s and k.
10
Let b(m) = -6*m - 8. Let s(g) = -7*g - 7. Let l(f) = 5*b(f) - 4*s(f). Suppose -8 = 2*u + 10. Calculate the least common multiple of 8 and l(u).
24
Let z = -451 - -1849/4. Calculate the common denominator of -10 and z.
4
Suppose 3*t = -t - 36. Calculate the common denominator of -49/3 and (1 - t)/(0 + 18).
9
Let c = 6629/1040 + 1/1040. Calculate the common denominator of -93/4 and c.
8
Suppose -4*y - 3*r + 31 = 0, -2*y = -y + 2*r - 4. What is the lowest common multiple of 9 and y?
90
Let x = 22 - 16. Let i = 13 - 9. Calculate the least common multiple of x and i.
12
Suppose -3*i + 5*t + 87 = 0, -5*t = 5*i - 128 + 23. What is the lowest common multiple of i and 63?
504
Suppose 5*b = 81 + 19. Calculate the common denominator of 1 + 0 + 6/b and 31/10.
10
Let m be (5 + -4)/((-1)/(-2287)). Let d = m + -25176/11. What is the common denominator of d and 11/3?
33
Let w = -3 + 5. Find the common denominator of (-732)/8*w/(-48) and -29/2.
16
Let j(s) = 3*s + 3. Suppose 2*v - 8 = 0, 12 = 2*k + 5*v - v. Let q be j(k). Find the common denominator of ((-513)/(-24))/q + -2 and 43/8.
8
Suppose -10*n = -15*n + 60. What is the least common multiple of n and ((-3)/2)/(15/(-100))?
60
Let z be ((-45)/(-276))/(9/42). Let w = z - 3325/138. Calculate the common de