et n = 13547 + -5649083/417. Find the common denominator of n and 80/21.
2919
Let l = -2 + 4. Calculate the lowest common multiple of l and (9 - (0 + -4)) + 25.
38
Suppose -4*m = -3*n - 97 - 26, -110 = -5*m - 5*n. Suppose -10 = -k + m. Let q = 43 - k. What is the lowest common multiple of q and 9?
18
Let x = -27125/1308 + -4/327. Find the common denominator of -97/78 and x.
156
Suppose 3*p = -2*j + 41, -3*j - 2*p + 116 - 42 = 0. Calculate the lowest common multiple of 84 and j.
84
Let o = 13238 + -1588597/120. Find the common denominator of o and -11/108.
1080
Let w = -34/225 - 7357/450. What is the common denominator of (116/(-330))/(8/3) and w?
220
Suppose 3*m + 5*l - 116 = 0, 7*l - 2*l + 52 = m. What is the least common multiple of 21 and m?
42
Let v(p) = 4*p**2 + 9*p - 72. Calculate the lowest common multiple of 114 and v(10).
1254
Let r = -44498 - -47790787/1074. Find the common denominator of 59/27 and r.
9666
Suppose 18 = 3*p - 0*p. Let n = p + -1. Let z = 212 + -204. What is the lowest common multiple of n and z?
40
Let b = -40 - -38. Let x(y) = 3*y - 3. What is the smallest common multiple of x(3) and (-20)/(0 + 4/b)?
30
Suppose -8*g + 390500 = -12*g. Let h be g/(-35) - (-4)/(-14). Let f = 61313/22 - h. Calculate the common denominator of 41/6 and f.
66
Let x = 286 + -246. What is the least common multiple of x and 50?
200
Let a(k) = -3*k**3 + 11*k**2 - 4*k + 9. Let r(s) = 2*s**3 - 7*s**2 + 3*s - 6. Let g(v) = 5*a(v) + 7*r(v). Calculate the smallest common multiple of 7 and g(6).
63
Suppose -2*s = -6, 0 = -0*n - n + s + 6. Calculate the least common multiple of 12 and (38/(-3))/(n/(-27)).
228
Suppose -7*p + 139 = -183. What is the smallest common multiple of p and 40?
920
What is the common denominator of (-26)/6*9/((-189)/15) and 59/27?
189
Let u = 5994283/108 - 55504. Calculate the common denominator of u and 59/81.
324
Suppose -2*o + b + 4*b + 37 = 0, -b = -2*o + 25. Suppose 0 = 5*z + f + 10 - 1, 4*z - 3*f + o = 0. Find the common denominator of -13/8 and (-268)/9*z/16.
72
Suppose 0 = 2*r + 13 - 1. Let y(t) = -t**3 - 6*t**2 - t - 2. Calculate the lowest common multiple of 11 and y(r).
44
Suppose 33*n = 39*n - 66. Suppose 3*j + 9 = 3*p, p + 5*j - 3 = 2*j. Suppose -2 + p = w. Calculate the smallest common multiple of w and n.
11
Let r(g) = 4*g + 12. Let q be r(-4). Let f be (-3397)/(-30) - q/(-12). Let z = 219/2 - f. Find the common denominator of -52/5 and z.
5
Let t(h) = -h**2 - 15*h + 60. Calculate the lowest common multiple of t(-18) and 9.
18
What is the common denominator of (-2)/(-9) + (-1015)/504 and 2/14 + (-455)/6615?
216
Let r = 4/5569 + -295333/245036. Let l = -927/20 - -193/5. What is the common denominator of r and l?
44
Let y(d) = -d**3 - 10*d**2 - 3*d - 15. Let n be y(-10). What is the least common multiple of 6 and (-6)/n*(-213 - 2)?
258
What is the lowest common multiple of 48 and 77/(-21)*-27 - (-2 + 5)?
96
Let t(i) = i**3 - 18*i**2 + 12*i + 27. Calculate the smallest common multiple of 5 and t(18).
1215
Let w = -392692/53 + 7410. What is the common denominator of w and -37/18?
954
Let w = -7524 - -105379/14. Find the common denominator of w and -151/18.
126
Let u = -3332 - -3350. Calculate the lowest common multiple of 33 and u.
198
Let q(o) = o**3 - 9*o**2 + 10*o - 5. Let k be q(7). Calculate the smallest common multiple of 16 and (-1 + k/(-6))/((-6)/(-16)).
48
Suppose -4*u + 127 = 3231. Find the common denominator of -75/4 and (u/(-672))/((-3)/(-2)).
252
Find the common denominator of 49/75 and ((-11557)/(-455))/(-1*36/(-10)).
450
Let i = 54 - -18. What is the lowest common multiple of 90 and i?
360
Calculate the common denominator of (11/(1485/(-390)))/(74/15) and -82/225.
8325
Let m = 4/125001 + 20651449/1000008. Let t = m - 157/8. What is the common denominator of 65/9 and t?
342
Calculate the least common multiple of (-12)/(21/18*45/(-70)) and 92.
368
Let q = 78 + -64. Let c(u) = -u**2 + 16*u - 16. Suppose -4*o + 44 = -2*o. What is the smallest common multiple of c(q) and o?
132
Suppose 0 = 56*j - 2187 + 843. What is the smallest common multiple of j and 591?
4728
Suppose -2*l + 0*z = -5*z + 88, 4*z = 5*l + 203. Let x = l + -24. Calculate the common denominator of 63/8 and 18/x + 225/28.
8
Let q = -69760719/352 + 198184. Calculate the common denominator of -56/5 and q.
1760
Let g(q) = q + 10. Suppose 5*m + 15 = 5*t, 2*m = t - 2 - 1. Calculate the lowest common multiple of t and g(0).
30
Let v = 423/259 + -17315/26936. Calculate the common denominator of v and -11/192.
2496
Let f = -2057/1164 + 1/1940. What is the common denominator of f and -23/9?
90
Let g = 74 - 88. Calculate the smallest common multiple of 0*(-6)/(-36) - g and 20.
140
Let g = -6/1825 - 90944/93075. Find the common denominator of g and 11/36.
612
Let j(x) = -x**3 - 4*x**2 - 4*x - 12. Let t be j(-5). Let r = t + -23. What is the least common multiple of 8 and r?
40
Let u = 14 - 34. Let q be (938/u)/(4/108). Let w = -1264 - q. Calculate the common denominator of -61/5 and w.
10
Let p(y) = -137*y**3 + 2*y**2 - 2*y + 3. Let u = -9 - -6. Let d be p(u). Let w = -26031/7 + d. Find the common denominator of w and 85/6.
42
Suppose 5*l + 2*k = 27, -4*l = -5*k - 24 + 9. Suppose 5*q - 45 = -l. What is the smallest common multiple of 1/(10/4)*10 and q?
8
Let s(m) = -10*m**2 + m. Let u be s(1). What is the smallest common multiple of 20 and (u + 12)*56/6?
140
Let s(f) = 15*f**2 - 73*f - 6. Calculate the smallest common multiple of s(5) and 10.
20
Let l = 29289/5 + -468533/80. What is the common denominator of -93/128 and l?
640
Let k = 7050/7 - 1001. Find the common denominator of k and 10/21.
21
Let w = -32 + 52. Calculate the smallest common multiple of 56 and w.
280
Let p(t) = -t**2 - 4*t + 9. Let h be p(-7). Suppose -121 = 5*y - 6. Find the common denominator of ((-2)/3)/(h/y) and 43/20.
180
Suppose g = 2*b - 4*g - 3, -2*b - g + 9 = 0. Suppose -b*q = 4*l + 32, -1 + 9 = -4*q. Find the common denominator of 61/12 and l/(-4) - (-12)/42.
84
Suppose 9*n - 2130 = -5*o + 4*n, -2*n - 868 = -2*o. What is the smallest common multiple of 25 and o?
2150
What is the common denominator of -17/14 and 36/240*635/(-990)?
9240
Suppose 5*q - 4133 = -1033. Let w = q - 8669/14. Let a = 3562 + -78383/22. What is the common denominator of w and a?
154
Let y = 1298/7 - 69144/371. Find the common denominator of 69/28 and y.
1484
Suppose 5*r - 6*w + 2*w - 43 = 0, 0 = 2*w - 6. Let g = 17 - r. Suppose 3*s - g*s + 27 = 0. Calculate the lowest common multiple of 8 and s.
72
Let n(y) = y**2 - 1. Suppose -3*q + 1 = k, -2*k + 4*k - q - 23 = 0. What is the lowest common multiple of n(2) and k?
30
Let t = 77299 + -14454965/187. Find the common denominator of 97/170 and t.
1870
Let b(g) = -g**2 - 3*g + 3. Let q be b(-6). Let z = 25 + q. What is the least common multiple of z and 1?
10
Let a(b) = b**2 - 15*b + 9. Let z be a(15). Suppose 0 = -p - 3*k + 75, 2*k - z = 1. Suppose 2*w = -4*w + p. Calculate the smallest common multiple of w and 14.
70
Let x(f) be the first derivative of -f**3/3 - 4*f**2 + 10*f + 20. What is the least common multiple of (1/2)/((-1)/(-8)) and x(-6)?
44
Let d = 21463/16 - 1342. Find the common denominator of (-6)/9 + (-113)/(-21) and d.
112
Suppose -5*a = -34 - 11. Let m(q) = -q**3 - 6*q**2 + 10*q + 7. Let c be m(-7). Let z = 18 + c. What is the least common multiple of a and z?
36
Suppose -196 = -4*g + 3*w, 4*w - 149 = -5*g + 96. Suppose -5*j + g = -31. Calculate the common denominator of 40/7 and 2 + 2/j*83.
56
Let u be (8/(-12))/(3/(-18)). Suppose -2*b = -u*b - 30. What is the smallest common multiple of 5 and b/(-10)*8/3?
20
Let q = 6 + -4. Let h = -2/89 + 1709/801. Find the common denominator of h and (54/25)/(q/10).
45
Calculate the least common multiple of (-2584)/323 + (14 - 0 - -2) and 0/2 - (0 - 24).
24
Suppose -2*l - 5*r = -6*l + 38, 5*r + 24 = 2*l. Suppose -s + l + 23 = 0. What is the smallest common multiple of 6 and s?
30
Let x = 241824/7 + -123328889/3570. What is the common denominator of x and 61/561?
5610
Suppose -4*d = -26*d + 22. Suppose 20 = -4*o + 4*f, 6*f - f + 11 = -4*o. What is the lowest common multiple of (d - -1) + (1 - o) and 8?
56
Let m = 51 - -22. Suppose 57*a - 9 = 54*a. Calculate the least common multiple of m and a.
219
Let