se 0 = 2*t + n - 80, 3*t - 2*n - 98 - 36 = 0. What is the smallest common multiple of t and 3?
42
Let u(l) be the second derivative of l**5/6 + 5*l**3/3 - 11*l. Let t(s) be the second derivative of u(s). Calculate the least common multiple of 18 and t(1).
180
Let t = -199/120 + 2083/1290. What is the common denominator of t and -97/4?
344
Let m = 11 - 61/4. Let q = 5/2593 + 235863/51860. Find the common denominator of m and q.
20
Let g = 42 - 105. What is the smallest common multiple of 6 and (-1)/3 - 84/g?
6
Let k(r) = -r**3 - 2*r**2 + 7*r + 4. Calculate the smallest common multiple of k(-4) and 25.
200
Suppose 0 = n + 4*z + 1, -n - 6 + 3 = 5*z. Let h = 17 - 12. Let u(s) = s**3 - 4*s**2 - 2*s - 6. Calculate the smallest common multiple of n and u(h).
63
Suppose -f - 5*t = -33, 4*t - 3*t + 35 = 5*f. Let n(p) = -p**2 + 22*p - 109. Calculate the smallest common multiple of f and n(11).
24
Let m = 248 + -237. What is the least common multiple of 110 and m?
110
Let f = 27 + -15. Suppose 5*l - 3*l = 4*g - f, 0 = 5*l + g - 25. Suppose 0 = -6*k + l*k + 16. Calculate the smallest common multiple of 7 and k.
56
Calculate the common denominator of 104/10 - (-12 + 16) and 1*88/20*10.
5
Suppose -3*n + 5*t = 802, 4*n + 0*t + 1046 = 2*t. Let m = n + 1991/8. Find the common denominator of ((-6)/44)/((-15)/280) and m.
88
Suppose 0 = z + z. Let r = z - -2. What is the lowest common multiple of r and (-125)/375 - -67*1/3?
22
Let c(i) = 332*i + 1. Let p be c(1). Suppose -q = -p + 1776. Let o = q - -11519/8. What is the common denominator of o and -39/8?
8
Let n = 1277486327/1258 + -1015490. Let m = -11/68 - n. What is the common denominator of 103/20 and m?
740
Let y = -191 - -243. Calculate the least common multiple of y and 20.
260
Suppose -205*n - 13 = -3*r - 204*n, -3*r - 3*n = 3. Let u(p) = p + 3. Calculate the lowest common multiple of r and u(0).
3
Calculate the common denominator of -77/2 and (30/(-3))/((-1)/((-51)/72)).
12
Let g be (-10)/4 + (-1)/(-2). Let c(r) = -7*r**3 - 11*r**2 - 23*r - 4. Let l be c(-4). Calculate the common denominator of 13/8 and g/9 + 3356/l.
40
Let b = 1557/4 - 387. Find the common denominator of 14/(-504)*8 + 247/(-63) and b.
28
Let f = 62793 - 7346735/117. Calculate the common denominator of f and -31/10.
1170
Let j = 14750 + -1888101/128. Find the common denominator of -121/10 and j.
640
Suppose 0 = 15*j + 53 - 158. Calculate the least common multiple of 1511 and j.
10577
Let q = 285 + 2071. What is the least common multiple of 10 and q?
11780
Let z(o) = -o + 1. Let i be z(5). Let w be (6/(-4))/((-7)/(-56)). Find the common denominator of (-278)/w + i/(-8) and 49/6.
6
Let v be ((-3)/(-6))/(2235/7926). Let w = v + 4/149. Calculate the common denominator of w and -22/5.
5
Let h = -4955045632136135/32252 + 153635298045. Let s = h + 2/8063. Let y = -40/59 - 4261/590. Calculate the common denominator of y and s.
20
Find the common denominator of (-2)/(-20)*2 + (-207)/405 and 21/50.
450
Let z(f) = -f + 1. Let g(i) = 5*i - 37. Let q(t) = -g(t) - 3*z(t). What is the smallest common multiple of 21 and q(8)?
126
Suppose 5*a = 6647 - 22672. Calculate the common denominator of -75/4 and 4*a/(-4480) + 1/(-7).
32
Suppose 0 = 5*f - 36 - 44. What is the common denominator of (-50)/8 + f/64 and -37/4?
4
Let d = 13882 - 138697/10. Calculate the common denominator of d and 13/31.
310
Suppose 262 = -5*h - 38. Calculate the common denominator of (-3)/(45/6) - (-1341)/h and 101/6.
12
Let u = 2490 + -1485. Calculate the least common multiple of u and 18.
6030
Let t(n) = n**3 - 7*n**2 + 9*n - 6. Let g be (-6)/(-7)*-1*-7. Calculate the least common multiple of t(g) and 24.
24
Let j = -11728 + 117171/10. What is the common denominator of 9/305 and j?
610
Let g(b) be the first derivative of b**4/4 - 4*b**3/3 + b**2 - 3*b - 1. Suppose 620 = 11*k + 543. Calculate the lowest common multiple of g(4) and k.
35
Suppose f + f = 0. Let c be 1*(f + -3)*-4. Let w = c + 0. Calculate the least common multiple of 16 and w.
48
Suppose -4*n + n + 9 = 0. Suppose n*f - 6*j = -j + 66, -j - 132 = -5*f. Calculate the common denominator of (-3)/(-6) - f/(-11) and -55/14.
154
Suppose 3*g + g - b + 462 = 0, -4*b + 456 = -4*g. Calculate the common denominator of ((-74)/(-16) + -1)/(319/g) and -47/16.
176
What is the common denominator of (-9)/30*(-1276)/(-759) - 0 and -21/8?
920
Let v(l) = l**3 + 9*l**2 - 9. Let c be v(-8). Suppose -c = a - 6*a. What is the lowest common multiple of 3 and a?
33
Suppose -7*n + 4*n = -2*t - 324, 4 = -n. Find the common denominator of -83/21 and t/(-32)*8/(-5).
105
Suppose -5*h = 2*n - 36 - 4, -2*h + 5*n + 16 = 0. Suppose 18 - 47 = -r + 5*z, -2*r = -z - 13. Calculate the least common multiple of r and h.
8
Let y = 6386 + -357631/56. What is the common denominator of y and 5/72?
504
Let j = -44343/40 + 5586/5. What is the common denominator of -11/9 and j?
72
Let c = -69851/360 + 2899/15. Calculate the common denominator of 107/10 and c.
360
Suppose -4*u = 2*n - 15 - 9, 4*n + u - 69 = 0. Calculate the common denominator of 1/6 and (244/n)/((16/(-3))/1).
24
Let v be 4/(-6) + 2/3. Calculate the lowest common multiple of 6 and (6 - 24)/(v - 1).
18
Suppose -2*t + 6 = b + 18, 2*b - 12 = 5*t. Let g be 15*(8/3)/b. Let n = 21 + g. What is the smallest common multiple of n and 3?
33
Suppose -v = 3*z + 89, -5*z = -3*v - 108 - 229. Let n = 108 + v. Calculate the smallest common multiple of (-6)/(-8)*(5 - 1) and n.
12
Let h = 183605/271662 - 1/2383. What is the common denominator of -77/76 and h?
228
Suppose 7*q = 8*q - 8*q. Let y = 30 - q. Calculate the lowest common multiple of y and 25.
150
Let m(c) = -c + 10. Let i be m(10). Suppose i = -7*q + 3*q - 5096. Let t = q + 20393/16. Find the common denominator of t and -73/20.
80
Let u = -36 - -48. Let i = -2 - -12. What is the smallest common multiple of i and u?
60
Let r = 9/103 + 7895/412. Find the common denominator of -9/388 and r.
388
Let z = -27025/9 - -2999. Find the common denominator of 12/5 and z.
45
What is the common denominator of -3 - (-2 - 149/98) and -5?
98
Let k be (-8)/(-12)*150*1. Find the common denominator of -26/27 and (-12)/(-16)*-3*k/(-6).
54
Let b(m) = 5 - 2*m + 0*m + 0 + m. Let j be b(0). Let y(w) = w**3 - 6*w**2 + 8*w - 6. Calculate the lowest common multiple of y(j) and 6.
18
Let i = 16673 + -366871/22. Calculate the common denominator of i and -33/2.
22
Let t(n) = -6*n + 132. Calculate the least common multiple of 175 and t(21).
1050
What is the common denominator of (-100)/(-225) + 24/135 and 44/115?
1035
Find the common denominator of 127/60 and 201/(-2)*(7 + (-1704)/243).
540
Let j be (-2)/5 - 64/(-10). Calculate the least common multiple of (-146)/(-8) + (-2)/8 and -4*(-21)/j + 0.
126
Let d be (1 - 1) + (-288)/8. Let m = -85381/12 + 7119. Find the common denominator of (-147)/d - (-6)/2 and m.
12
Suppose -54*p = 877 - 2551. What is the smallest common multiple of p and 2?
62
Suppose 15*r = 215 - 50. Suppose -r*h + 44 = -7*h. Calculate the least common multiple of 11 and h.
11
Suppose -3*p + 1053 = p - s, -4*p - s = -1059. Calculate the smallest common multiple of 264 and p.
264
Let a(d) = -d**3 + 11*d**2 - 9*d - 8. Let h be a(10). Let t be h/(-6) + (-14575)/462. Let y = t + 187/7. Find the common denominator of -101/6 and y.
6
Let f = 20 - 12. Calculate the lowest common multiple of 2/f + (-9)/(-12) and 7.
7
Let m = -921 - -939. Suppose 22 = 3*p + 4. What is the least common multiple of p and m?
18
Let z be (14/23506)/(2/(-4)). Let y = z + 21841/11753. Let a = -134/3 - -241/6. What is the common denominator of a and y?
14
Let z = -22634 - -4481569/198. Calculate the common denominator of -37/66 and z.
198
What is the least common multiple of ((-7260)/9)/11*-3 and 14?
1540
Suppose -2*z - 3 = z + 3*v, 25 = -5*v. Suppose -4*l + 66 + 142 = 0. What is the lowest common multiple of l and z?
52
Let y = -41994334873/7431996 + 236/168909. Let d = -5650 - y. What is the common denominator of -1 and d?
44
Let j = 477 - 387. What is the smallest common multiple of 162 and j?
810
Let z = -99 + 148. Suppose -f + 5*w = 1, -5*f - 3*w = -16 + z. Calculate the common denominator of 83/4 and (-861)/72 + (-2)/f.
8
Let y be -3*(-4)/18*(0 - -3). Let z = -49791/8 + 6235. Find the common denomin