9 = 3*s + 352. Calculate the common denominator of 5/20 + (-11)/(-1) and l/(-22)*(-6)/12.
44
Let t be (3 - (-50)/(-15))*0/2. What is the common denominator of (-3)/(-9) - (543/(-342) + t) and 23/8?
152
Let m be 1 + (-7812)/(-15) + -1. Let r = -36711/70 + m. What is the common denominator of 17/10 and r?
70
Suppose 2*s + 3*x = 27, -2*s + 2*x = 4 - 6. What is the smallest common multiple of 33 and s?
66
Let a be (2 - 2) + (-8)/2. Let y(p) = 5*p**2 + 4*p + 2. Let i be y(a). What is the common denominator of (-228)/i + (-2)/(-1) and 99/10?
110
Let n(c) = -c**2 + 12*c - 32. Let q(r) = -r**2 + 13*r - 32. Let a(p) = -2*n(p) + 3*q(p). What is the smallest common multiple of 14 and a(12)?
28
Let l = -18231/5 - -3658. Calculate the common denominator of ((-1464)/(-108) + -10)*-2 and l.
45
Let q(z) = -z - 9. Let d be q(-9). Suppose d = -4*a + 6*a - 10. What is the least common multiple of 11 and a?
55
Suppose 0 = -j + 2*b + 2, -2*j - 2*b + 4 = 3*b. Let g be (1/(-18))/(j/116222). Let y = g + 3224. What is the common denominator of y and 145/12?
36
Let p = 1922 + -1904. What is the least common multiple of p and 118?
1062
Let p = -4209832/7023081 + -602/5809. Let j = 14/47 - 1255/4371. Let i = p + j. Calculate the common denominator of -27/2 and i.
26
Let d = -1/1610181 - -120375521389/16101810. Let o = d - 7470. What is the common denominator of ((-2)/(-4))/(3/3) and o?
10
What is the common denominator of -17/162 and 20/(-18) + 9800/2772?
1782
Let h = 1/122 - -1523/244. What is the common denominator of 25/9 and h?
36
Let k be -68794*((-10)/48)/1. Suppose -l + 2*l = 3*h - 43019, 5*l = 20. Let w = h - k. Find the common denominator of w and 15/16.
48
Let u = 5 - 0. Suppose 5*j = 5*o - 4 - 21, 0 = u*o - j - 25. Suppose q = 3*c - 33 - 14, -o*c - 3*q + 83 = 0. What is the lowest common multiple of c and 14?
112
Suppose 3 = -3*i + 12. Let v(y) = 5*y**2 - 9*y + 2. Calculate the smallest common multiple of v(i) and 20.
20
Suppose 3*g = -4*j + 38, 2*g + 15 - 2 = 5*j. Let a = g + -16. What is the common denominator of (8/4)/(a/52) and -22/7?
35
Let s(m) = 6*m**3 - 3*m**2 - 4*m + 8. Calculate the least common multiple of 6 and s(2).
36
Calculate the least common multiple of ((-8348)/(-56) - 2) + (-2)/28 and 10.
1470
Let s(w) = -w**3 + w**2 - 1. Let a be s(-2). Let l be 1/2*(a + -9). What is the lowest common multiple of -3*(l + -2) + 3 and 22?
66
What is the common denominator of -17/99 and 2896/1872 - (-3 - -5)?
1287
Suppose -4 = -4*z, -11 = -3*g + 2*z + 14. What is the smallest common multiple of g and ((-5)/(-15))/((-5)/(-225))?
45
Suppose 5*b + 3625 = -3*w + 2*w, -3585 = w - 3*b. Let x = -57627/16 - w. What is the common denominator of x and 73/40?
80
Suppose -5*w = 2*q + 1, -2*w = -2*q + 2*w + 26. Suppose q*c = 8 + 6. Calculate the least common multiple of 2 and c.
2
Suppose -6*o = 35 + 1. Find the common denominator of 1/o*3 + (-243)/(-78) and 41/3.
39
Let w(i) = i**3 - 3*i**2 - 4*i + 5. Let a be w(4). Suppose -c - 21 = a*x, 51 = -2*c - c - 3*x. What is the common denominator of 18 and (-18)/(-88) - (-12)/c?
11
What is the common denominator of (-7)/(-2) - (-2 - (-77)/44) and -67/40?
40
Let j(r) = -r**3 - 10*r**2 - 14*r + 18. Let z be j(-8). Suppose -5*q = -z*c + 94, -5*c - 6*q = -2*q - 268. Calculate the smallest common multiple of c and 4.
52
Let u = 1/1980 + -50491/1980. Find the common denominator of u and 6/(4/(-28) + (-44)/(-28)).
10
Calculate the smallest common multiple of 9 and (5 + 16)/((-3)/(-1)).
63
Let b(k) = -8*k - 6 + 5 + 7 - 15*k. Let y(g) = 8*g - 2. Let a(r) = 3*b(r) + 8*y(r). Calculate the least common multiple of 16 and a(-4).
176
Let m = 2/1293 + -1403/71115. Let l = m + 279/220. What is the common denominator of -113/20 and l?
20
Suppose -2*o = -229 - 3. Suppose 0 = t - 4*j + o, -2*j = 5*t + 147 + 323. What is the lowest common multiple of 3/(-2)*t/18 and 10?
40
Let r = 2 + -1. Let l be (6/(-5))/(27/270). Calculate the least common multiple of r*-3*4/l and 8.
8
Let k(t) = t**2 + 9*t + 11. Let n(a) = -a**2 - 15*a - 49. What is the least common multiple of k(-9) and n(-9)?
55
Suppose 7*h - 106 - 55 = 0. What is the least common multiple of h and 5?
115
Let v = 60637/42 + -4322/3. Suppose -2*y + 5*y = 0. Find the common denominator of v and ((-249)/36 + y)/(-1).
84
Suppose -2*m + 4*b - 47 = -m, 0 = 4*m - 2*b + 118. Let n = -21 - m. Suppose -42 = 3*p - n*p. What is the smallest common multiple of 8 and p?
56
Suppose -5*i = 3 + 7. Let x be (-17681)/6 + i/6. Let s = x - -2958. Calculate the common denominator of 13/7 and s.
42
Let l = 755275/294 - 2569. Find the common denominator of l and -61/6.
294
Let p = 32 - -12. Let q = -15171/20 + 758. What is the common denominator of 7/(-6)*36/p and q?
220
Let j = -25 - -28. Suppose 2*t = j*t - 6. Suppose 5 = 3*g - p, g + p - t = -3. What is the lowest common multiple of 6 and g?
6
Let g be (2 - 2)/(-4 - -2). Let a(n) = 5*n + 10. What is the least common multiple of a(2) and g + 30/3 - 0?
20
Let m be (-1)/(-5) - (-10)/(-50). Suppose -3*c - 2*s + m = 98, -c = -3*s + 40. Calculate the common denominator of -77/6 and c.
6
Let q = 1920 + -1848. What is the least common multiple of 232 and q?
2088
Let d = -1739/196 - 1/392. Calculate the common denominator of (-9)/((-90)/(-47)) + 5 and d.
40
Calculate the smallest common multiple of (14 + (-10)/5)/(-5 + 7) and 6.
6
Let t = 805 + -424. Suppose 2*k - t = k. Calculate the common denominator of 3/8 and k/72 + (-2)/(-6).
8
Let l = -1361 - -4383787/3221. Let c = -441169/57978 - l. Find the common denominator of 53/6 and c.
18
Suppose 2*n = 5*q - 33 - 51, -3*q = 0. Let l = 5 + n. Calculate the common denominator of (22/(-9))/((-2)/3) and l.
3
Suppose 19*i + 416 - 7484 = 0. What is the smallest common multiple of i and 248?
744
Suppose 4 = -p, 0 = -n - 4*n - 2*p + 27. What is the smallest common multiple of 42 and n?
42
Let k = -37 + 37. Suppose k = 5*j - 7*j + 68. What is the smallest common multiple of 10 and j?
170
Let n be 2 + (-106)/1 + 1 + 2. Let q = -63 - n. Calculate the smallest common multiple of q and 10.
190
Suppose -t + 201 + 152 = 0. Let m = -196/1347 + -3304166/9429. Let h = t + m. What is the common denominator of h and -9?
7
Suppose -235 - 73 = -4*h. What is the common denominator of -101/22 and (-146)/868 + 44/h?
682
Let m(t) = t**3 - 6*t**2 + 4*t + 5. Let j be m(5). Suppose -5*l + 3*l + 1650 = j. Let f = -11505/14 + l. Find the common denominator of -16/3 and f.
42
Let g = 28/435 + -13801/140070. Calculate the common denominator of g and -29/140.
3220
Suppose 21*m = -26*m + 1316. Calculate the smallest common multiple of m and 8.
56
Let h be (-1)/((-2)/(-21))*-2. Suppose 43 - h = 2*b. Suppose 0 = -4*w, 5*w - w - 20 = -2*n. What is the least common multiple of b and n?
110
Let w = -58000 - -5219921/90. Find the common denominator of 23/99 and w.
990
Let k(t) = -t + 10 + 2*t + 0*t + 12. What is the lowest common multiple of 3 and k(-12)?
30
Find the common denominator of (-2)/(-120) + 15/(-9) and 2 - (100/16)/(-1).
20
Suppose 2*s = -y + 3, 0*y - 8 = -3*s + 2*y. Suppose -40 = -s*r - 8*r. Calculate the smallest common multiple of r and 28.
28
Let o = -41 - -37. What is the common denominator of 21/2 and 30*(-2 - 13/o)?
2
Let t = 56 + -246. Calculate the common denominator of (-15)/50*t/72 and 58/15.
120
Let k = 20941/9 + -2325. Find the common denominator of k and (33/(-5))/(84/15).
252
Let c = 204 + -184. Calculate the lowest common multiple of 864 and c.
4320
Let l(u) = u**2 - 10*u - 551. What is the lowest common multiple of l(-21) and 184/10 + 2/(-5)?
900
Let q = -2879 + 11601/4. Suppose -3*o + 129 = -0*o - 3*a, -5*o = 4*a - 224. Let t = 5 - o. Find the common denominator of q and t.
4
Let i(u) = u - 3. Suppose -2*f = -v - 12, 2*v = -f - 2 + 3. What is the least common multiple of i(f) and 24?
24
Suppose -5*v = -0*v - 15. Let p = -8371/16 + 517. What is the common denominator of p and (-47 - v)*(-9)/(-84)?
112
Let a(u) = -u**3 - 8*u**2 - 12*u - 6. Let i be a(-8). Suppose 2*g = -5*v + i, 71 + 31 = 2*g - v. What is the least common multiple of 22 and g?
550
Suppose 4 + 5 = 3*l. Suppose 3*o = -0*k - 2*k - 1, 0 = 4*k + 20. Suppose -o*u - 28 = -4*n - 4*u, n + u - 7 = 0. What is the least common multiple of l and n?
21
Let z(h) = 14*h**2 - 3*h + 