 - 6/2 - -1. Let u = m - -8. Calculate the common denominator of -131/12 and u/9 + (-417)/54.
36
Let j = -2056681 - -18531100/9. Let l = j - 2326. What is the common denominator of l and 23/9?
9
Let h(d) = -5*d - 8. Suppose 2*t - 114 = -3*t + p, 4*t - 90 = p. Calculate the smallest common multiple of t and h(-6).
264
Let p(f) = f**3 - 24*f**2 + 61*f + 48. Let u(c) = -c + 1. Let k be u(6). Let t = k + 15. What is the least common multiple of t and p(21)?
30
Let w(i) = 6*i**3 + 3*i - 2. Let h be w(1). Let p = 10 - h. What is the smallest common multiple of p and 11?
33
Let v(r) = r**2 + r - 1. Let x(c) = 4*c**2 + 4*c - 8. Let i(g) = 6*v(g) - 2*x(g). Calculate the least common multiple of i(0) and 1.
10
Suppose 3*s + 4 = 2*r - 5, -r = 5*s + 15. Find the common denominator of 55/18 and r + 91/(-16)*-1.
144
What is the common denominator of -131/120 and 2/(-6) + (-7136)/(-960)?
120
Let k = -3/211 + -22559/1266. Let x be ((-178066)/(-12))/(-7) + 4. Let g = x - -2106. What is the common denominator of g and k?
6
Suppose 2*u + 8 = -0*u, a = -3*u - 782. What is the least common multiple of 1/3 + a/(-30) and 22?
286
Let a be 2/(-2)*3 + 13 + 0. Suppose -d + 15 - a = 0. Calculate the least common multiple of d and (-12)/(-15)*(7 - 2).
20
Suppose a = -2*h - 3, 2*a + 3*h = 4*h - 21. Find the common denominator of (a/54)/(2/(-273)) and -34/3.
12
Calculate the common denominator of 57/265 and (2/((-2)/91))/(27 - 21).
1590
Let j be (1598/(-32))/(-1) - 0. Let u = j + -363/8. What is the common denominator of u and 85/8?
16
Calculate the common denominator of (10/280)/((-1)/138) and -11/118.
826
Suppose -20*p - 142 = -3*b - 19*p, 3*p = 3*b - 138. Calculate the lowest common multiple of 8 and b.
48
Let c(v) = -2*v**2 + 41*v - 88. Suppose 4 - 52 = -4*q. Calculate the smallest common multiple of q and c(18).
12
Let t be 2*3*(-104)/12. Let z = -36 - t. Calculate the smallest common multiple of (5/3)/(5/72) and z.
48
Let w(t) = -4*t - 37. Let k be w(-11). What is the lowest common multiple of 21 and (-44)/8*(1 - k)?
231
Suppose 4*c - 8 = c + 4*r, -2 = -2*r. Suppose -6*n = -b - 2*n + 774, -c*n - 8 = 0. Let y = 9113/12 - b. Calculate the common denominator of y and -123/10.
60
Let w = 6 + -4. Let x(r) = -r**2 + 3*r + 5. Let v be x(0). What is the common denominator of w and 1/(3/v)*(-222)/(-15)?
3
Suppose 0 = 11*l - 7*l + 4. Calculate the common denominator of (135/(-22))/(-9) + l and -27/16.
176
Suppose 889 = 36*j + 25. What is the least common multiple of j and 16?
48
Let p = -37 - -31. Calculate the common denominator of ((-39)/(-6))/(8/p) and 17/5.
40
Let y(j) = j + 18. Suppose 3*x + 3*o - 24 = -0*o, 0 = -4*o + 12. Let h(q) = q - 2. Calculate the smallest common multiple of y(-10) and h(x).
24
Suppose 0 = -3*p + 5*p + 1072. Find the common denominator of -89/32 and 6/8*(-7)/(756/p).
288
Let r = 3571 - 39317/11. Let o = 2/369 + -2587/738. Let b = o + 3/4. Calculate the common denominator of r and b.
44
Let f = -8653075/9 + 962421. Let y = -975 + f. What is the common denominator of -1*1 + (-276)/8 and y?
18
Let v = -1540 + 1837. What is the least common multiple of 132 and v?
1188
Suppose k - 6*k - 4 = -y, 3*k + 18 = -2*y. Let w be 8*(y/(-4))/3. Suppose 0 = w*x - 0*x - 8. What is the lowest common multiple of 6 and x?
6
Let y = 23233/40 - 2876/5. Find the common denominator of -109/88 and y.
88
Calculate the common denominator of 219/6*(44/(-20) + 2) and -19/90.
90
Let i = 16380155/16 + -2037381/2. Let b = i - 5072. What is the common denominator of b and -71/38?
304
Calculate the common denominator of 4/(1728/(-60))*(-21)/(-4) and -83/36.
144
Let d = 8 + -9. Find the common denominator of -2 - d/(54/237) and -73/3.
18
Let t(f) = f - 2. Let b = 5 - 5. What is the smallest common multiple of t(7) and (4 - 3)*(b - -4)?
20
Let y be (-7 - -6) + 203/23. Let k = 1981/115 - y. Find the common denominator of k and -73/4.
20
Let z = 645985/24 - 26910. Find the common denominator of z and 65/44.
264
Suppose 0 = 3*u + 5*d + 15, 6 = -5*u + 4*u - 2*d. Suppose -8*a - 5*a + 117 = u. Calculate the least common multiple of (-1)/(1/(-16)) + -2 and a.
126
Suppose d - 116 = -0*g - 2*g, d = -5*g + 296. Calculate the common denominator of 246/(-40) + 45/g and 16/3.
15
Let b(l) = -57*l**2 - 8. Let z be b(-4). Let d be z/16 - (-1)/2. What is the common denominator of 15/16 and d/(-48)*(-10)/1?
16
What is the least common multiple of (2 - -4) + (139 - 7) and 24?
552
Let m = -270689087/22 + 12306525. Let a = -359 - -2830. Let s = a - m. What is the common denominator of s and -1/16?
176
Let k = -5730 - -10444. Let i = -51902/11 + k. What is the common denominator of 40/7 and i?
77
Suppose 5*a = -3*v + 5*v + 12, 2*a = v + 4. Let s(y) = -11 + 2*y**2 - 6*y**3 + 5*y**3 + a*y**2 - 2*y. Calculate the smallest common multiple of 4 and s(5).
4
Let r = 92 + -69. Let q = -14 + r. Calculate the least common multiple of 33 and q.
99
Let w = -429557/8506 + 2/4253. Let u = -1315/26 - w. Calculate the common denominator of -19/3 and u.
39
Let v = 4331/8492 + 20/193. Calculate the common denominator of v and -157/204.
2244
Let k = -83/400 - -7/80. Calculate the common denominator of k and 21/50.
50
What is the common denominator of 1372/(-96) + (-112)/(-14) and -97/525?
4200
Let t be (2/3)/(4/162). Let z = t - 19. Calculate the smallest common multiple of 10 and z.
40
Let i = 203 - 185. Calculate the smallest common multiple of i and 24.
72
Let a(m) = -m + 16. Let z be 8*(7/(-2) - -4). Calculate the lowest common multiple of 6 and a(z).
12
Suppose -6 + 11 = s. Let r = s + -4. Suppose 0 = -0*w + 5*w - 50. What is the least common multiple of r and w?
10
Let z be ((345/17)/5 - 4)/(-1). Let d = -217/68 + z. Find the common denominator of -91/10 and d.
20
Suppose -12*a + 15*a - 15 = 0. Find the common denominator of a + (-65)/15 + (-638)/(-60) and 113/20.
20
Let b be (-28626)/(-5) - 1/5. Let h = -91649/16 + b. Let x = 11/218 + -10377/436. What is the common denominator of x and h?
16
Let x(w) = w - 3. Let m(q) be the third derivative of q**4/24 + q**3/3 + 3*q**2. Let p be m(3). Calculate the least common multiple of 4 and x(p).
4
Suppose 49*d + 889 - 3927 = 0. Calculate the lowest common multiple of d and 8.
248
Suppose -14*i + 51 = -11*i. Suppose -15 = -4*b + i. What is the smallest common multiple of 44 and b?
88
Suppose 3*w + 4*k = 22 + 34, 0 = -3*w + 3*k + 42. Let t = -10 + w. Let p = 24 + -14. Calculate the lowest common multiple of t and p.
30
Let p = -306 - 352. What is the common denominator of (p/(-84))/(6/4) and -79/4?
36
What is the lowest common multiple of 58/203 - (-360)/14 and 2?
26
Suppose x + 0*x = -5*s + 11, -2*x = -3*s + 4. Suppose 15 + x = -g. Let f = 36 + g. What is the least common multiple of 2 and f?
20
Let k(d) = -14*d - 3. Let g be k(-4). Suppose 4*o - g = -13. Let a(n) = -n**3 - n**2 + 6*n + 2. What is the smallest common multiple of a(0) and o?
10
Let k = 92909/18 + -5158. What is the common denominator of k and 13/98?
882
Let o(s) = -s**2 + 3*s + 1. Let v be o(2). Let n(q) = 4*q + 6 - 5*q + v. What is the least common multiple of n(7) and 1?
2
Let y = 28/5007 + -61723/193604. Find the common denominator of 119/6 and y.
348
Suppose -8*g - 134 + 2270 = 0. Calculate the smallest common multiple of g and 30.
2670
Let g = 1501 + -7477/5. What is the common denominator of -9/100 and g?
100
Let o(n) be the first derivative of -n**4/4 - 3*n**3 + 4*n**2 - 12*n + 10. Calculate the smallest common multiple of o(-10) and 30.
120
Suppose -3*k = -7 - 2. Suppose -41 = 5*o + k*g - 15, 2*g - 27 = 3*o. What is the common denominator of (1/o)/(7/231) and -55/7?
7
Let t(r) = -r**3 + 9*r**2 + r - 5. Suppose 16 + 14 = 5*p. Suppose p*i = i + 45. Calculate the least common multiple of 2 and t(i).
4
Let f = -22268708/171 + 130227. Let u = f - -123/19. What is the common denominator of u and 61/21?
63
Let j be 4516/(-33)*(-5)/380. Let g = j - -58/57. Let a = -3230 - -22562/7. Calculate the common denominator of a and g.
77
Calculate the least common multiple of 15 and (-1)/(-5 + 3144/630).
105
Let z = 1463 - 1436. Calculate the least common multiple of 30 and z.
270
Calculate the common denominator of 3309/468 + (-4)/26 and 115/36.
36
Let z = 7079/16 + -889/2. Calculate the common denominator of -5/358 