
Let s = 18 + -10. Suppose -o = 3*y - 2*y - 75, -3*o = 5*y - 231. Suppose 3*b - o = -b. Calculate the lowest common multiple of b and s.
72
Let h be (-780960)/(-140) + (-4)/14. Let n = h - 122693/22. Calculate the common denominator of n and 73/32.
352
Let m be (-455)/(-234)*2/295. Let u = m - 34229/18585. What is the common denominator of 1/21 and u?
105
Let i = 576617 - 6915497/12. Let h = i - 337. Find the common denominator of 26*(-57)/(-72) - (-2)/8 and h.
12
Let g(n) = -n**2 + 19*n - 26. Let q be g(17). Suppose m + 0 = q. What is the smallest common multiple of m and 6?
24
Suppose -5*p + 14510 = -2*r, -3*r + 2885 = 78*p - 77*p. What is the smallest common multiple of p and 20?
2900
Let b = -10613/16 - -664. Calculate the common denominator of b and ((-63)/(-24))/((-60)/(-1040)).
16
Find the common denominator of (40/18 - 2)/((-170)/(-3009)) and (-28)/10*(-240)/630.
15
Let j = -1/8554 - -230977/162526. Find the common denominator of -27/143 and j.
2717
Let n = -93985 + 23402300/249. What is the common denominator of -62/33 and n?
2739
Suppose -2*t - 3*t - 30 = 0. Suppose 42*h + 240 = 52*h. What is the lowest common multiple of (55 - 0)*t/(-10) and h?
264
Let u = 5/471 + 35185/13188. Let q(j) = j**3 + 6*j**2 + 4*j - 8. Let h be q(-2). Find the common denominator of u and -10 + h - 228/120.
140
Suppose -7*w = 392 - 84. Let x be (7/((-84)/4264))/(w/(-102)). Let l = x + 825. Find the common denominator of -6/5 and l.
55
Suppose -t = -5*t + 184. Let b be -12 + 6 + -9 + 7. Let h = t + b. Calculate the smallest common multiple of 4 and h.
76
Let m = -70 - -73. Let a(l) = 3*l**3 - 8*l + 3. Calculate the lowest common multiple of a(m) and 36.
180
Let t = -53 - -13. Find the common denominator of 132/t*20/(-72) and -65/18.
36
Let q = 6022 + -5218. Calculate the lowest common multiple of q and 8.
1608
Let a = -36/167 - 2705/2171. Find the common denominator of a and ((-470)/125)/((-6)/(-10)).
195
Let l be 144/(-36) + -1 + 9. Suppose -4*h - 4*x = -199 - 45, 5*x = -l*h + 249. Calculate the smallest common multiple of h and 2.
56
Let u = 1169353/20825 + -2807/50. Calculate the common denominator of u and -1/49.
1666
Let d(c) = 9*c + 198. Calculate the least common multiple of d(-7) and 210.
1890
Suppose 0*j = j - 75. Let a(t) = -t**3 + 7*t**2 + 2*t - 27. What is the lowest common multiple of a(6) and j?
525
Let j(w) = -2*w**2 - 21*w - 53. Let g be j(-6). Find the common denominator of -97/4 and -313*g/96 + 12/18.
32
Find the common denominator of 3817/(-1540) + 28/(-49) and (1/22)/(5/(-17)).
220
Let k be (168/(-18))/((-1)/(-42)). Let r = k - -713/2. Find the common denominator of r and -103/6.
6
Let r be (20/(-40))/((-2)/(-12)) - -45. What is the smallest common multiple of 12 and (-2 + 23)*r/49?
36
What is the common denominator of 17/692 and -146 + 145 + (2 - (-1378)/(-1384))?
692
Suppose 52*h = -41912 + 7956. Let a = 665 + h. Let y = 3 - -9. What is the least common multiple of y and a?
12
Let j = 169 - 121. Let s(f) = -4*f**3 - 2*f**2 + 19*f + 39. Calculate the smallest common multiple of j and s(-3).
144
Let u(n) = -n**2 - 58*n - 54. Let x be u(-57). Suppose -i + 5*i = x*o - 29, 4*i = 4*o - 40. Calculate the common denominator of -23/176 and o.
176
Let z(k) = k**3 + 5*k**2 + 5*k + 8. Let m = -85 + 92. Suppose m*w - 6*w + 4 = 0. What is the lowest common multiple of z(w) and 14?
28
Let l(n) be the first derivative of 9*n**2/2 - 94*n + 80. What is the smallest common multiple of l(11) and 20?
20
Let d = 1681/5110 + -23/146. Find the common denominator of -49/185 and d.
1295
Let t(k) = 2*k**3 + 4*k**2 + 2*k - 16. Let u be t(-4). What is the common denominator of (1/(-2))/((-72)/226) and u/16 - -9 - -6?
72
Suppose -7*j - 1 = -6*j. Let n be j/(-3) - (-17562)/(-52794). Let o = -131953/46928 - n. Find the common denominator of o and 41/4.
16
Suppose -7 + 0 = -7*y. Let p be y/((2/24)/1). Calculate the lowest common multiple of 9 and ((-9)/6)/(p/(-64)).
72
Suppose 0 = -y - 5*w + 103, 5*w - 34 - 1 = 0. Calculate the lowest common multiple of y and 16.
272
Let j = -42696/5 + 8536. Find the common denominator of -115/5802 and j.
29010
Calculate the common denominator of 113/(-54)*93/155*(-4)/20 and 101/210.
3150
Let b = 7144 + -7121. Calculate the common denominator of -28/4173 and b.
4173
Calculate the common denominator of -40*576/(-4275) + -6 and 2/437.
2185
Suppose 73*u - 72*u + 6111 = 5*x, -2*x + 2449 = -5*u. What is the lowest common multiple of 423 and x?
10998
Let y = 20 + -16. What is the common denominator of 39/11 and 157/y + (-70)/(-56)?
22
Let l(o) = -1699*o**2 - 3*o. Let a be l(1). What is the lowest common multiple of 4/46 + (-13468)/a and 176?
176
Let n be 3 + (-120)/42 + 5878/14. Let y = n + -414. What is the smallest common multiple of y and (-2*(0 - -2))/(-1)?
12
Suppose 0 = 2*i - 51*i - 1077118. Let w = 52196163 + -1253235563/24. Let v = i - w. Calculate the common denominator of -25/18 and v.
72
Let j(n) = 2*n + 13. Let u be j(9). Find the common denominator of (-3 - -3) + u/8 and (-646)/2516*(3/(-9))/((-6)/18).
296
Suppose -3*b = b + 96. Let s be 7443834/(-20124) + (-4)/b. Let w = 4792/13 + s. What is the common denominator of w and -61/4?
172
Let d be -4 + (22 + -2)/5. Suppose 4*i + 5*u = i + 6, 5*u = d. Suppose i*a + 0*a - 12 = k, -20 = 5*k. What is the lowest common multiple of a and 1?
4
Let m(n) = 10*n + 20. Let p be m(6). Suppose -d + 21 = 4*o, -10 = 3*o - 5*o. What is the lowest common multiple of p/(-12)*(d/(-2) - 1) and 4?
20
Let k(w) = 7*w - 8*w**3 - 8*w**3 + 17*w**3 - 9*w**2 - 34. What is the least common multiple of 168 and k(10)?
2856
Let m be -16 + 8 + 8 + -1 + -5. What is the common denominator of 97/4 and (4985/(-710) - -7)*(-70)/m?
284
Let k(s) be the second derivative of s**3 - 7*s**2/2 + 21*s. Let f be k(4). Let o = -13 + f. What is the smallest common multiple of o and 10?
20
Calculate the common denominator of -5/2 and 18 - (2 - -17) - 6498/(-6585).
4390
Let r = 1279479 + -1750327415/1368. Find the common denominator of r and 59/8.
1368
Let d = -34000 + 1529932/45. Calculate the common denominator of 11/430 and d.
3870
Suppose -15*t - 199 = -49. Calculate the lowest common multiple of (-2 + 4)/(1 - -1) and (((-2520)/50)/14)/(4/t).
9
Let o(b) = 20*b**3 + b**2 - b. What is the smallest common multiple of 44 - -5 - (-9)/(-9) and o(1)?
240
Let a(g) = g**3 + 37*g**2 + 28*g - 69. Let c be a(-36). Suppose -5*r + c = -3*i, -120*r + 125*r = -5*i + 195. Calculate the lowest common multiple of 22 and r.
462
Let s = 362041 + -309183097/854. Find the common denominator of s and -101/42.
2562
Let s(i) = -237*i + 1425. Suppose -4*g = -5*a - 89, 18 - 77 = -3*g - 4*a. Calculate the least common multiple of s(6) and (12/14)/(6/g).
3
Let q(i) = 17*i + 1. Let f be q(1). Suppose 7*t - 3 = f. Suppose -47 = -t*a - 11. What is the least common multiple of 27 and a?
108
Let t = 10849676/266505 + -15718/815. Let i = -10/109 + t. Find the common denominator of 9/(-102) - (-20727)/(-1785) and i.
30
Let a be (-2)/(-6) - (-44)/12. Suppose 30 = a*s + 6*s. Calculate the smallest common multiple of 44/10 + 2 - 10/25 and s.
6
Let h(z) = z**3 - 8*z**2 - 8*z - 11. Let g be h(9). Find the common denominator of (-49)/330 - (-2)/11 and (161/(-12) - g) + -4 + 5.
60
Suppose 32*s = 22*s + 220. Let m be 8 + 1 - -3*6/9. Suppose m*c - 81 = -15. What is the least common multiple of c and s?
66
Let a be (9/12)/(14/(15161552/60)). Let p = a - 13548. Calculate the common denominator of p and 53/32.
160
Let m(a) = 4*a + 156. Let l(s) = 29*s**3 + 2*s**2 + 3*s + 2. Let x be l(-1). What is the lowest common multiple of 156 and m(x)?
1716
Calculate the common denominator of -113/1540 and (-2)/(-4)*((-3)/9 - 1897/(-462)).
1540
Find the common denominator of 37/641 and -9 + ((-138)/297*-15 - -4).
21153
Let r(k) = 2*k + 3. Let m be r(5). Suppose 2*u - 2*c - c - 17 = 0, 2*u + m = -3*c. Calculate the lowest common multiple of 2 and -2*(3 + -5*(u + 0)).
4
Let l = -545261/257686 + 6/9911. Let r = -211120 - -4433480/21. Calculate the common denominator of l and r.
546
Find the common denominator of 81/207*(-222)/360 and -57/644.
3220
What is the common denominator of ((-108459)/12636)/((-130)/(-3) - -2*1) and 67/2176?
2176
Suppose 360 = 12*v - 22*v. What is the least commo