4*i - 9681. Calculate the lowest common multiple of n(-56) and 567.
5103
Let p = -415/4 - -4688/45. Calculate the common denominator of p and 1/90.
180
Let s(j) be the first derivative of j**3/3 + 23*j**2/2 + 46*j + 38. Calculate the lowest common multiple of s(-22) and 42.
168
Let k = -31697353/51120 - -44010/71. Calculate the common denominator of k and -71/36.
720
Suppose 19 = -k + 4*y - 32, 3*k + y = -192. Let d = k + 118. Suppose 4*j = -196 + 216. What is the smallest common multiple of d and j?
55
Let u = 71555 + -22754419/318. Let j = -289621/24 - -12064. Find the common denominator of j and u.
1272
Let r be (-123)/(-24) + 1/(-8). Suppose -5*u = 25, -4*u = -r*t + 22 + 3. Suppose 0 = 2*h - 3*h + 14. What is the smallest common multiple of h and t?
14
Let j = -2503 + 9963/4. Let s be ((-10)/7)/((-2808)/7130487). Let d = s - 3628. What is the common denominator of d and j?
36
Suppose -4*f = 3*b - 133, 4*f - 5 - 142 = -5*b. Calculate the smallest common multiple of 434 and f.
868
Let u be (502/6)/((-4)/12). Let w = -239 - u. Calculate the smallest common multiple of 20 and w.
60
Let m be ((-9)/6)/(6/8). Let q(x) = 3*x + 6. Let g(s) = -16*s - 31. Let c(o) = m*g(o) - 11*q(o). Calculate the lowest common multiple of c(-6) and 14.
14
Let z(p) = 21*p**3 + p**2 + 8*p - 12. Suppose 4*q - 78 = -70. What is the least common multiple of 4 and z(q)?
176
What is the common denominator of -49/3018 and 11 + 1 - 11616/1152?
6036
Let v = 17531 - 14528. What is the lowest common multiple of 3276 and v?
36036
Let a = -9473/651 + 488/31. Calculate the common denominator of a and -49/963.
6741
Suppose 5*x = -5*a - 17 + 32, -5*a - x + 19 = 0. Suppose 0 = a*v - v + 2*i - 126, -v = 2*i - 46. What is the least common multiple of 1 and v?
40
Let v be (-2 + 42/9)*27/18. Calculate the least common multiple of 13 and v + ((-3)/6)/((-2)/(-4)).
39
Find the common denominator of -77/12 and 2/150*24/((-231504)/55915).
5460
Let w = 1/1395 - -54398/9765. Let p = -286 - -3716/13. Calculate the common denominator of p and w.
91
Let z = -265 - -502. Suppose -z = 5*n - 0*n - 3*i, -2*i = 2. Find the common denominator of 73/14 and (-4)/n*(-3 - -50).
84
Let o(m) = -6*m - 6. Let s be o(-3). Suppose -13*j = -s*j - 48. Calculate the least common multiple of j and 32.
96
Suppose 2*g = -2*g + 440. What is the smallest common multiple of g and 11/66 - (-47)/6?
440
Suppose -3*h + 14 + 4 = o, -o = -2*h - 3. Find the common denominator of 1 + (-101)/(-12) + -1 and (3/o)/(198/(-2025)).
132
Calculate the smallest common multiple of 42 and 5 + ((-194)/873 - (-5564)/9).
3738
Let b be (2 + -3)*(3 - 142). Let a = 175 - b. What is the lowest common multiple of 10 and a?
180
What is the common denominator of (-5 + (3978/60)/13)/((-12)/(-2180)) and 49/1180?
3540
Let w = -3829 - -5405. Calculate the least common multiple of 20 and w.
7880
Let p = -8 - -41. Suppose 43*m = 38*m + 15. Suppose 50 = 5*w - 4*q, -5*w - 6*q + m*q + 15 = 0. What is the smallest common multiple of p and w?
66
Let x = -127/689 - -114633/203255. Let w = 38005729 - 44846766203/1180. Let v = x - w. What is the common denominator of v and 53/16?
80
Suppose -15 = -3*u + 6*u, 0 = 4*r - 4*u - 1916. What is the smallest common multiple of r and (2 - 12/10)/((-14)/(-35))?
474
Suppose -w - 26 = -3*q, 0 = -3*q - 2*q. Calculate the common denominator of 45/11 and 5/((-60)/(-64))*w/72.
297
Let x = -221 + 223. Suppose -4*s + 30 = 5*i, -3*s + x*i = -29 - 5. What is the smallest common multiple of 22 and s?
110
Suppose -4*u + 2*k + 172 = 0, k + 178 = 4*u + 2. Let p = 152 + -117. What is the least common multiple of u and p?
315
Suppose 11*d - d + 42920 = 0. Let p be (-721237)/168 + (-16)/(-56). Let h = p - d. Find the common denominator of -3/10 and h.
120
Let x = -373/146 + 42917/19856. What is the common denominator of x and 107/272?
272
Let j = 3267 + -3190. What is the smallest common multiple of j and 742?
8162
Let g(y) = 2*y**2 + 12*y + 9. Let z be g(-6). Suppose 0 = -z*s + 507 - 111. Suppose 0 = -9*q + 11*q - s. Calculate the least common multiple of 12 and q.
132
Suppose -13*s - 11*s = 7*s. Suppose 2*k + 5*m - 289 = s, -k + 9 + 138 = 3*m. What is the smallest common multiple of 21 and k?
924
Let y(q) = 2*q**2 - 7*q - 167. Let x be y(-9). Find the common denominator of x/64*-2 - (-15)/45 and -97/200.
1200
Let t = -34363 + 34391. Calculate the lowest common multiple of 14632 and t.
102424
Let o(p) = -569*p - 1954. Calculate the lowest common multiple of 6 and o(-8).
2598
Let r = 2/6421 - 456159/860414. Find the common denominator of r and -23/70.
4690
Let s = -23569 - -24065. What is the lowest common multiple of s and 9?
4464
Let n = 6357238/205 + -31011. What is the common denominator of n and 51/164?
820
What is the common denominator of -22/181 and 944/(-2178516)*(-25)/(-3)*(-9)/(-2)?
3077
Suppose 2*z - 3*r - 10 = 0, -4*z + 0*r = -2*r - 20. Suppose 15*s - 17 = 448. Calculate the smallest common multiple of s and z.
155
Suppose 0 = -7*y - 33 - 44. Let n = -19 - y. What is the least common multiple of -3 - (n - 6/(-2)) and 20?
20
Suppose 3 = -p, 6*y + 2*p + 0*p = 7710. What is the common denominator of ((-130)/12)/5 - 2 and 116/(-870) - y/30?
6
Let g(h) = 3*h - 1. Let p be g(-2). Calculate the smallest common multiple of p*6/(-63)*162 and 18.
108
Suppose 3*i + 4*h - 7489 = 0, -2*h = 4*i + h - 9983. Let z = -2880923623/1155198 + -5/35006. Let g = i + z. Find the common denominator of g and -65/33.
33
Let i = -7933/8 + 989. Let v = -872/281 + 450599/153988. Find the common denominator of v and i.
1096
Let p(t) = 106*t + 1346. What is the least common multiple of p(5) and 10?
9380
Suppose -2*f - 49*p - 92 = -53*p, -f - 5*p - 67 = 0. Let l be 0/1 + (60 - -1). Let x = f + l. Calculate the smallest common multiple of x and 8.
72
Let z(b) = 18*b**2 - 27*b - 36. Let y be z(-18). Let w = y - 75337/12. What is the common denominator of w and 43/26?
156
Suppose 4*n - 172 = -3*o, 6*o + 137*n = 133*n + 352. Let j = 11 - -43. Calculate the smallest common multiple of o and j.
540
Suppose 22 = o + 5*k, -4*o + 0*k + k - 17 = 0. What is the smallest common multiple of 16 and 362/o*(0 - -3)*-1?
2896
Let k = 41339/16 + -2584. Suppose -i - 662 = -2*i. Calculate the common denominator of k and 10/25 + i/20.
16
Suppose -5*d + a + 4*a + 1630 = 0, 2*d = -a + 628. Calculate the smallest common multiple of 34 and d.
5406
Let h(a) = a**3 - a + 14. Let c be h(3). Suppose 33*f + 3*t + 975 = c*f, 2*t = 5*f - 980. What is the smallest common multiple of f and 99?
198
Let a = -73 - 45. Let c = 158 + a. What is the lowest common multiple of 10 and c?
40
Let q(p) = -p**2 - 6*p + 2. Suppose 4*m = 2*z + 110, -2*z + 3*z + 49 = 5*m. Let i = -57 - z. What is the least common multiple of i and q(-5)?
14
Let z = -980566031/2464 + 397957. Find the common denominator of z and -3/46.
56672
Suppose 4*d + 8 = p, -2*d = 2*d + p. Let b be (35 - 32)*(d - -3). What is the smallest common multiple of 11 and 8/(b - 2)*7?
154
Suppose -f + 6 - 3 = 0. Suppose -5*i = -j - 173, j = 4*i - 141 + f. Calculate the lowest common multiple of 11 and i.
385
Let x = 1597 + -1017. What is the smallest common multiple of x and 174?
1740
Let l = -534/361 - -41879/51984. What is the common denominator of l and -65/8?
144
Let d(r) = -1067*r**3 - r**2. Let g be d(1). Let c = -3158/3 - g. Let l = 11489/3 + -3829. Find the common denominator of c and l.
3
Let c(p) = -p + 31. Suppose -4*i + 26 = 6. Suppose 0 = 3*h - 3, 0 = 2*z + i*h - 13 - 6. Calculate the least common multiple of c(z) and 24.
24
Suppose 0 = 8*q + 28 - 44. Calculate the lowest common multiple of ((-7056)/420)/(q/(-10)) and 16.
336
Let h = -914/1725 + -2/575. Calculate the common denominator of 59/522 and h.
2610
What is the smallest common multiple of ((-68)/(-10) - 1 - (-55)/275) + 34 and 49?
1960
Let m(h) = -h**2 - h + 253. Let t be m(0). Let b = t - 249. Calculate the smallest common multiple of b and 132.
132
Let p = -7340906021/3054 + 2403702. Calculate the common denominator of p and -37/84.
42756
Let m = 887/10858 + -8/89. Let g be 6102/244 - 3*(-5)/(-45). Let t = g + m. Calculate the common denominator of -55/18 and t.
18
Let g = 0 + 8. Let h(v) be the second derivative of v**4/12 - 3*v**3/2 + 7*v**2 - 36*v - 1. What is the lea