 j/24.
44
Let g(c) be the third derivative of -c**6/120 + c**5/15 + c**4/24 - c**3/3 - 2*c**2. Calculate the smallest common multiple of 10/4*84/35 and g(3).
30
Let x = -14108/19 + 213335/114. Let c = x + -1122. Find the common denominator of c and 9 - 6 - (-90)/8.
12
Suppose 1 = 3*r - 59. Suppose -i + r = 4*i. Calculate the least common multiple of i and 4.
4
Suppose -2*n - 42 = -4*u, 55 = 4*u - 4*n + 3. Calculate the lowest common multiple of u and 7.
56
Let o(k) = -k**2 + 9*k - 5. Let j = -5 - -7. Let d(m) = m - 1. Calculate the smallest common multiple of d(j) and o(8).
3
Let w(a) = 10*a - 2. Calculate the smallest common multiple of w(2) and 1.
18
Let k = 19 + -9. Suppose g + k = 6*g. What is the least common multiple of g and 4?
4
Let i = 878 + -9616/11. Calculate the common denominator of 23/4 and i.
44
Suppose t + 2*l - 7 = 3*l, 4 = -2*l. Suppose -6 - 41 = -2*x - t*s, x + 2*s = 22. Calculate the least common multiple of 14 and x.
112
Find the common denominator of -23/4 and (-44)/72*(-45)/(-6).
12
Suppose -w + 2*w = 90. Find the common denominator of (-957)/w - (-4)/(-20) and -3/22.
66
Suppose -24 = -5*q + 1. Suppose 4*v = q*v - 7. What is the lowest common multiple of v and 6?
42
Let w(l) = -l**2 + 12*l + 12. Let q be w(10). Find the common denominator of 146/q*-2 - -3 and -17/2.
8
Let u = 7/7374 - 3095/18796326. Let n = 28003/45882 + u. Calculate the common denominator of -89/4 and n.
36
Suppose -5*k - 4*h + 2 = 3, 5*k + 5*h = -5. Suppose 0*u + k*u = -6, -2*u = 5*q - 6. What is the smallest common multiple of 7/4 + 1/4 and q?
2
Let b(q) = q**3 + q**2 - 2*q + 18. What is the lowest common multiple of 14 and b(0)?
126
Suppose 3*w + 10 = 5*w. Suppose -5*p = 2*s - 34, -p = -s - w + 1. Suppose c = p + 1. What is the smallest common multiple of 3 and c?
21
Let m(q) = -2 - q**2 + 4 - 2*q**3 - 2*q**2. Let b be m(-2). Let n(i) = 2*i - 9. What is the least common multiple of 3 and n(b)?
3
Suppose -3*u + 8*u = -30. Let f be ((-551)/10)/(u/(-711)). Let c = -6527 - f. Find the common denominator of -25/8 and c.
40
Suppose 0 = -7*u + 2*u + 185. Let z be (1180/3432)/((-2)/(-141)). Let i = z - -3/286. Calculate the common denominator of i and u.
4
Let m = 83 + -59. What is the smallest common multiple of m and 18?
72
Let y = -152929/22 + 6954. Find the common denominator of y and (-814)/(-140) + 2/5.
154
Let c(j) = j - 3. Let w be c(5). Suppose w*q = 0, -4*o - 2*q + 16 = -24. Suppose -2*x = -4*x - 3*i - 5, -x = i. Calculate the lowest common multiple of x and o.
10
Let a = 1342/111 + 9/37. Find the common denominator of a and -33/8.
24
Let k(z) = -20*z + 2. Suppose -2*w - 2 = 5*j - 0*j, -5*w + 5*j = 5. Calculate the smallest common multiple of k(w) and 8.
88
Let p = 2568 + -30865/12. Calculate the common denominator of 35/24 and p.
24
Let b = -899/30 + 104/5. Find the common denominator of 115/96 and b.
96
Find the common denominator of ((-105)/36)/(4/6) and 52/5.
40
Let j = 228548/33 - 6927. Calculate the common denominator of -137/18 and j.
198
Let s = -83 + 126. Calculate the lowest common multiple of 10 and s.
430
Suppose 4*c + 158 = -282. Find the common denominator of 1/(-2) + (-25)/c and -73/3.
33
Find the common denominator of (78/(-320))/((-69)/(-322)) and -61/4.
80
Suppose 0 = 2*a - 212 + 14. What is the common denominator of 250/198 + 18/a and -33/5?
45
Suppose 424 = 6*q + 370. Let p(g) = -2*g - 6. What is the smallest common multiple of p(-4) and q?
18
Let k = 1424/3 + -22853/48. Let t = 27277/8 + -3422. What is the common denominator of k and t?
16
Suppose -3*t = -6*t + 6, -5*r - 2*t + 159 = 0. Let n = 17/2 + -161/6. Calculate the common denominator of n and r.
3
Let c = -92 - -106. Calculate the least common multiple of 74 and c.
518
Suppose -4*r = 20, 5*r + 2 = -5*z - 3. Find the common denominator of -121/6 and z/(-12) + (-20)/(-42).
42
Let q = -19 + 22. Suppose 2*g + 5*b = 7*g - 45, 3 = 2*g + q*b. What is the least common multiple of 5 and g?
30
Let k(n) = -n**3 - 5*n**2 + 4. Calculate the smallest common multiple of k(-5) and (-44)/(-7) - 4/14.
12
Let u be (0 + 2)/(1/2). What is the smallest common multiple of 6 and 220/15*6/u?
66
Let d(u) = u**2 - 10*u. Let o be d(10). Suppose 0 = -2*q - o*q - 26. Let a = 9 - q. Calculate the smallest common multiple of 22 and a.
22
Suppose -p = 3*p. Let w be 2 - (p/3)/1. Suppose 12 - w = o. Calculate the smallest common multiple of 10 and o.
10
Let v = 10082/2097 - 7/233. Let b(s) = s**3 + 3*s**2 - 7*s + 2. Let a be b(-5). Calculate the common denominator of v and a/2*8/10.
45
Suppose -5*m + 81 = -2*n - n, -5*n = 4*m - 50. Suppose 0 = l - k + 4 - m, 3*k = -2*l + 47. Calculate the lowest common multiple of l and 10.
80
Let f be -4*((-57)/(-14))/(-3). Let a = f + -328/63. Find the common denominator of a and 17/7.
63
Suppose -d = 3*d + 56. Let f(h) = -h**2 - 15*h - 4. Calculate the lowest common multiple of 6 and f(d).
30
Suppose 1 = 2*d - 7. Let i(j) = 2*j**2 - 6*j. Let p = 8 + 2. Calculate the lowest common multiple of p and i(d).
40
Let o(z) be the first derivative of z**3/3 + z**2 + z - 4. Let b be o(-8). Suppose -31 = -4*m + b. Calculate the least common multiple of 22 and m.
220
Suppose -4*a + 8*a = 8. Suppose 4*p - a*z = 48 - 8, 0 = -3*p + 5*z + 44. Let m = 0 - -2. Calculate the smallest common multiple of m and p.
8
Let d = -18571/8 + 2315. Calculate the common denominator of d and -103/26.
104
Find the common denominator of 51/14 and 19/(-24) + (-8)/(-12).
56
What is the common denominator of -27*(220/168 + -1) and -81/14?
14
Let t be -1 + 7/((-14)/(-8)). Find the common denominator of 11*(33/(-14) + t) and -1 + 3 + 13/2.
14
Let v(n) = -7*n**3 - 9*n**2 + 2*n - 4. Let y be v(-11). Let t = -147691/18 + y. Find the common denominator of t and 253/30 + 2/5.
18
Let f(p) = p**3 - 2*p**2 - 4. Let n be f(3). Suppose -4*t - 72 = v - 5*v, 0 = v - n*t - 26. What is the smallest common multiple of v and (4*10/(-4))/(-1)?
80
Let k = -14 - -21. Calculate the least common multiple of 5 and k.
35
Let k = 0 + 8. Let c = -6/833 - 99067/8330. Find the common denominator of c and (1/6)/(k/(-159)).
80
Suppose 52*u - 57*u + 30 = 0. What is the smallest common multiple of u and 33?
66
Suppose 2*i - 4*n = 36, 3*i - 33 = 3*n - 4*n. What is the common denominator of -35/8 and 0 + (-118)/i + 3?
24
Calculate the least common multiple of 14 and (48/20)/((-3)/(-20)).
112
Suppose 4*v + 8 = 3*g, -2*v + 3 = 3*g - 5*v. Let o(s) = 22*s**3 - s**2 + 1. Calculate the least common multiple of g*(5 - 2)/(-6) and o(1).
22
Let h(r) = -r**3 - 6*r**2 + 1. Let t = 8 + -14. Let n be h(t). Calculate the lowest common multiple of n/(-3)*-3 + 6 and 7.
7
Suppose 7 = 3*v - 2. Suppose j + v = 5. Let l = 49 - 31. What is the smallest common multiple of l and j?
18
Suppose 4*a + 14 - 69 = -5*z, 3*z - 4*a = 33. Suppose 4 = -2*i + 5*g - 10, i = -4*g + 19. What is the least common multiple of z and i + (-15)/(-3) + -1?
77
Let h = -2393/6 - -390. Calculate the common denominator of h and 85/12.
12
Suppose -2*t + 10 = -7*t. Let r be (t + 3)/((-2)/(-10)). Suppose -3*w - 18 = -r*w. Calculate the least common multiple of 4 and w.
36
Suppose s - 5*v + 54 = 0, 2*s + 7*v = 3*v - 66. Calculate the common denominator of s/(-16)*2/3 and -67/2.
8
Let o = 1329 + -6672/5. Let w = 2635/7 + -371. Calculate the common denominator of o and w.
35
Let x = -11 - -19. Let h(b) = -6*b - 3. Let p(q) = -q + 3. Let k be p(5). Calculate the lowest common multiple of x and h(k).
72
Suppose -2*u + 24 = u. Let t be (2 - (-2)/(-8))*4. Let z = t + 0. What is the least common multiple of u and z?
56
Let w = 29 + -18. Let j = w - 3. Let r = -31 + 53. Calculate the lowest common multiple of j and r.
88
Suppose -c + 72 = 3*c. Let z(l) = -l - 8. Let u be z(-6). Calculate the common denominator of 1/u - 45/(-66) and c.
11
Suppose -4*q - b = -2*b + 2, -3*q - 2*b = -4. Let w be 11 - q - (-6 + 8). What is the least common multiple of (1*-3)/(w/(-60)) and 6?
60
Let x(z) = z + 6. Calculate the least common multiple of 12 and x(0).
12
Let s(h) = 139*h**3 + h**2 + h + 1. Let t be s(-1). Calculate the common denominator of (t/(-100))/((-18)/15) and 8/20 - (-119)/(-20).
20
Suppose -y + m = 3*m + 33, m = 2*y + 51. Calculate the common denominator of 41/3 and (57/(-8))/(y/42).
12
Let b(m)