Let j be (1/2 + (-1708)/(-72))/((-112)/(-168)). Let g = 79 - 42. Let r = g - j. Calculate the common denominator of -16 and r.
3
Suppose 211 = u + 4*c, u - c + 4*c = 210. Let i(m) = m**3 + 3*m**2 + m - 13. What is the smallest common multiple of i(2) and u?
207
Suppose -5*r + 3 + 17 = 0. Find the common denominator of -41/45 and (-7860)/(-7150) + r/(-26).
495
Let f = -284543806/10131 - -807315/307. Let k = f + 25459. Let d = -98611/24 - -4104. Calculate the common denominator of k and d.
264
Let s(i) = 3*i + 15. Let w be s(-5). Suppose 180 = 12*h - w*h. Calculate the smallest common multiple of h and 12.
60
Let f(y) = -52*y**2 - 3*y + 3. Let s be f(3). Let t = 792 + s. What is the least common multiple of t and 3?
318
Let b = -11398 + 11430. Suppose -g - 5*s = -4*g + 96, s = 4*g - 128. What is the smallest common multiple of g and b?
32
Suppose 1390 - 495 = -19*y + 56945. Calculate the least common multiple of y and 50.
2950
Let t(p) = -p**3 - 34*p**2 - 6*p - 20. Calculate the smallest common multiple of 41 and t(-36).
2788
Let y = 27563/432300 + -846/1441. Find the common denominator of y and 83/2700.
2700
Let d = -9553 + 28708/3. Let w = -45061 - -1622299/36. What is the common denominator of d and w?
36
Let s(a) = -9*a - 31. Let p be s(5). Let d(n) = -13*n + 1. Calculate the least common multiple of p/(-2) - (-6)/3 and d(-3).
40
Suppose 4*i = -l + 1657, -84*i + 83*i + 421 = -2*l. What is the least common multiple of i and 30?
2490
Let p = -622 - -626. Let t = -6 + 10. Suppose r + y = p, -r - t*y - 5 = -3. What is the lowest common multiple of 14 and r?
42
Let a(y) = -3*y - 19. Let d be a(-7). Suppose -4*k = -3*h - 185, -h + 95 = d*k - 2*h. Calculate the smallest common multiple of 22 and k.
550
What is the common denominator of (42/204)/((-15)/(-4)) and 95/68?
1020
Let i(w) = 22*w - 14. Let m be i(-27). Calculate the common denominator of 2/(-4) - (-159)/42 and m/(-171) - (-1 + 2).
63
Calculate the common denominator of (2/(-4))/(7506/342 + -24) and 15/143.
858
Let a be 157/(-8) + -2 + (-42)/70. Let j = a - -253/8. Calculate the common denominator of -48/55 and j.
55
Suppose y + 12 = -3*l - 2*y, -4*l + 2*y = -14. Suppose n + n + 24 = 0. Calculate the common denominator of -89/12 and 2/n + -17*l/18.
36
Let o = 40 + -30. Suppose 5*l + 3 = 5*a - 2, -5*l = 4*a - 40. Suppose -3*i - 1 = -c, 0*c - 4*i = a*c - 24. What is the lowest common multiple of o and c?
20
Let o be (297585982/4)/((-685)/(-3)). Let b = o - 325824. What is the common denominator of 97/16 and b?
10960
Suppose 0 = a + 4*d + 14, -5*a - 15*d = -19*d - 26. Let g(x) = -x**3 + 8*x**2 - x - 1. Let m be g(6). What is the common denominator of 19/4 and 4/(-16)*m/a?
8
Let n(i) = -i**2 + 16*i - 48. Suppose -3*m - 3*p + 12 = 0, 0*p + 20 = 3*m + p. Calculate the least common multiple of 7 and n(m).
112
Let j(b) = -4*b + 46. Let k be ((-6)/4)/((-12)/80). What is the least common multiple of (-1293)/(-39) + 6/(-39) and j(k)?
66
Suppose 43 = -2*j - 50 + 109. Calculate the least common multiple of j and 630.
2520
Let p = -21932/21 + 8944/7. Let x = p - 218. Calculate the common denominator of (-4)/(-2) - -93*(-2)/(-20) and x.
30
Let z(a) = -2*a**2 + 15*a - 9. Let m(b) = -b**3 - 3*b**2 + 2*b - 2. Let y be m(-4). What is the lowest common multiple of z(y) and 6?
18
Let y = 8337917/383 - 21770. Let n = y - 24951/3064. Calculate the common denominator of 12/(-12)*79/2 and n.
8
Let g(n) = n**3 + 17*n**2 - 22*n - 42. Let l be (-180)/10 - 0/(-2). Let y = -65 - -98. Calculate the smallest common multiple of y and g(l).
330
Let x(k) = -2*k**3 - 16*k**2 + 6*k + 272. Calculate the lowest common multiple of x(-10) and 612.
612
Find the common denominator of (-12)/((-84132)/6909) - (3 + -2) and 143/30.
23370
Let g = 88785/16 + -5548. Let c = -17471/10248 - 3/854. Calculate the common denominator of c and g.
48
Let k = 917430471 - 1947704931996/2123. Let l = k + 218/11. Let h = -17171/1158 - l. Calculate the common denominator of 37/4 and h.
12
Let d be (3 - -7)/(40/16). Suppose 0 = d*u + u - 25. Suppose 0 = 2*m - 71 + u. Calculate the smallest common multiple of m and 6.
66
Let p = -306 + 309. Suppose p*t = -3*m + 57, 4*t + 2*m - 125 + 47 = 0. Let j(y) = -y**2 - 10*y + 4. Calculate the lowest common multiple of t and j(-8).
20
Let u = 113 + -97. Suppose 15*g = 23*g - u. Calculate the lowest common multiple of 28 and g.
28
Suppose 3 + 69 = 18*d. Suppose 5*q + d*t - 101 = 3*t, 5*t + 55 = 3*q. What is the smallest common multiple of 44 and q?
220
Let p(q) = -39*q - 221. Let u be p(-5). What is the least common multiple of 4/u - (-324)/78 and 76?
76
Let u = -4379555009/76 - -57622611. Let k = -329731/2 - -161753. Let b = u - k. What is the common denominator of b and 61/14?
532
Let z = -1330 + 5283/4. Calculate the common denominator of 1/(-6) + (-49)/(-28) + -3 and z.
12
Let r = -12/2137 - -18284/211563. Find the common denominator of 7/9 and r.
99
Find the common denominator of (-209)/(-891)*(8 + (-43)/5) and -11/153.
2295
Suppose 4*i = 0, 0*i - 2*i - 25 = d. Find the common denominator of 1 + (-2910)/371 - (-98)/14 and d.
371
Let q be 2 + 1034/216 - 1. Let f = q - 1/27. Find the common denominator of (-87)/(-11) + ((-627)/88 - (-53)/424) and f.
44
Let y = 23 - 21. Find the common denominator of -1 + (-109)/18 + y and -61/6.
18
Let d = 246 + -270. Suppose -420 = 4*y - 2*y. Calculate the lowest common multiple of d/((-8)/2) + -4 - y and 16.
848
Suppose 3903 = -10*s + 4123. What is the least common multiple of 2524 and s?
27764
Let q(i) = i**2 + 7*i + 10. Let w be q(-6). Suppose 3*c - 2*c - 45 = -2*p, -p = -w*c - 36. What is the least common multiple of p and 18?
72
Let z = 11336363/14492 + 1/3623. Let f = z - 22089/28. Let o = -28994 + 985889/34. What is the common denominator of f and o?
238
Let j = 31/375 - 7549/1500. Find the common denominator of j and -23/1156.
5780
Let d be (-3)/(25/(-10) - -4). Find the common denominator of -49/3 and (-21)/(-12) + d - 10/(-64).
96
What is the common denominator of ((-113)/(-22) - -1) + (-143 - -137) and (1 + 2 - 92)*3/78?
286
Suppose 106*f - 11424 = -40*f + 10*f. Calculate the least common multiple of f and 18.
252
Suppose 0 = 51*q - 46*q + 130. Let x(z) = z**3 + 27*z**2 + 24*z + 2. Calculate the smallest common multiple of x(q) and 66.
594
Calculate the common denominator of 57/452 and (5/(-30))/((-37)/(-4477)).
1356
Find the common denominator of 49/32 and (-4530)/(-2616) + 30/(-4)*4/20.
3488
Let d(l) be the third derivative of -11*l**4/24 - l**3 - 2*l**2 - 477*l. Let b be 4/(-1) + 1 + 1. Calculate the least common multiple of d(b) and 146.
1168
Suppose -24*k + 13 = -78 - 101. Calculate the smallest common multiple of k and 2227.
17816
Let r = 79205782/15602253 - 1006037114521082789/16491581421. Let u = r - -61003068. Let g = -4/453 - u. Find the common denominator of g and -31/3.
21
Let t(m) = 3*m + 9. Calculate the lowest common multiple of (-8)/20 - ((-339)/(-15))/(26/(-104)) and t(7).
90
Let u(k) = -294*k + 699. Calculate the lowest common multiple of 666 and u(2).
666
Let k = 8949 - 71493/8. Let p = 9555 - 210125/22. What is the common denominator of p and k?
88
Let g = -12228 - -146873/12. Calculate the common denominator of g and 6/(-10) + (-536)/(-60).
12
Let g = -224/16321 + -2343085003/489630. Let n = -4784 - g. What is the common denominator of 26/11 and n?
330
Suppose 19 = -13*j + 32. What is the common denominator of -109/180 and (-71)/8 - (j - 1)?
360
Let d = -225/2 + 71. Suppose 205 = 7*v + 65. Calculate the common denominator of d and (5/v)/(18/(-496)).
18
Suppose 0 = 5*t - 3*x - 423, -t + x + 80 = 5*x. Calculate the common denominator of ((-19)/15 - -4) + -11 + 10 and 6/21 + (-983)/t.
60
Let y = -114396142/255 - -448613. Let v = y + -1/85. Let g = -53/21 + v. Find the common denominator of g and -34.
7
Let m be -5 + (0/1 - 1) + 3. Let n = m + 4. Suppose 7 = 4*r - n. What is the least common multiple of 8 and r?
8
Suppose 5873 = 22*a - 2245. Calculate the lowest common multiple of 210 and a.
25830
Let a = 329161727/912 - 360923. What is the common denominator of a and -62/3?
912
Let g = -5811 + 5818. Let t = 6 - -1. Calculate the smallest common multiple of g and t.
7
Let s(w) = -w**3 + 11*w**2 + 40*w - 138. Calculate the lowest common multiple o