i - 12*i, i + 33 = 3*m. Suppose 0 = -2*o - m, -10*s + 11*s + 3*o - 1 = 0. What is the smallest common multiple of s and 72?
144
Suppose -m + 202 = -714. Suppose -u = -4*x - 236, 3*x - 235 + m = 3*u. Find the common denominator of (u/(-300))/4*12 and -25/9.
225
Let i = -931081/693690 - -2/18255. What is the common denominator of i and (3 + 119/(-16))*-4?
76
Suppose 77*x = 3*g + 79*x - 82, 5*g = -5*x + 135. Calculate the common denominator of ((-1)/39)/(g/(-294)) and 139/12.
156
Suppose 2 = -7*w + 9. Calculate the least common multiple of (-4)/(-2) - -1 - 1 and (w - 0)/(-1) - (-49 - -46).
2
Let i = -12090587/78468 + -2/6539. Let m = i - -454/3. Find the common denominator of m and 145/36.
36
Calculate the common denominator of 9 - 240/27 - (-2 + (-1193)/(-288)) and 89/20.
160
Let r = -18007 - -1458574/81. Calculate the common denominator of 94/75 and r.
2025
Let q be (-17508)/(-20) - 4/10. Calculate the common denominator of -1 - (q/66)/(-5) and 1 + -3 + 19 + (-7791)/420.
660
Find the common denominator of -10*817/(-35530) - 0 and 45/1972.
21692
Let p be -5 - (44/(-66) - (-26678)/(-6)). Let m = p - 159941/36. Calculate the common denominator of -91/24 and m.
72
What is the lowest common multiple of 90*-7*(-189)/294 and 252?
11340
Let r = 49 - -179. Let c = 474 + r. Calculate the common denominator of (-4)/6*c/40 and -45/11.
110
Let a = -4848 + 67847/14. Let r be (4/6)/((-14)/402). Let u = 75/14 - r. Calculate the common denominator of u and a.
14
Let x(t) = -t**3 - 9*t**2 + 5*t + 48. Let u be 1/(((-6)/27)/2). What is the lowest common multiple of 6 and x(u)?
6
What is the least common multiple of 314 and 13/(143/(-55)) - (-5 + 3*-6)?
2826
Let f = 15 + -6. What is the least common multiple of (f/12)/(6/(-4))*-12 and 9?
18
Let a(h) = h**2 - 45*h + 95. Let x be a(47). Suppose 20*q - x = -q. Calculate the smallest common multiple of q and 42.
126
Let h(i) = -i**2 - 25*i - 166. Let m be h(-13). What is the common denominator of m/8 + 0 + 1729/84 and -29/5?
15
Suppose q + 63 - 83 = 0. Find the common denominator of q/160*(-94)/32 and 21/160.
640
Let m = -112657577/2458745454 - 2/1238039. Calculate the common denominator of m and 11/2317.
13902
Let w = 25 + -21. Suppose -5*z + 4*z = -t + 19, 2*z = -w*t - 8. Calculate the common denominator of (-27)/12*(-36)/z and -1/10.
70
Calculate the lowest common multiple of 4972 and 8/184 + 2016/184 + -7.
4972
Let q = -90 - -93. Calculate the least common multiple of (-9 - -3)/((24/(-20))/q) and 93.
465
Suppose 5 = k + 3*u - 4*u, 3*k - u = 5. Suppose k = 74*r - 68*r - 18. Let b = 14 + 16. Calculate the least common multiple of r and b.
30
Suppose 5*h - 4*z = 10*h - 35, 2*z - 22 = -4*h. Find the common denominator of 43/10 and h - ((-259)/(-42) - (-6)/9).
30
Suppose -83*a - 177*a - 81*a + 180048 = 0. Calculate the smallest common multiple of 24 and a.
528
Let o = -1913/155 + -8/31. Let l be (45402/(-70))/(2/10 + -1). Let q = -800 + l. Find the common denominator of q and o.
20
Let q = 1175 + -1243. Let b be (-192)/(-9)*(-18)/(-4). Let x = b + q. What is the least common multiple of 3 and x?
84
Let t = -3567 - -4437. What is the least common multiple of t and 12?
1740
What is the common denominator of 5877/(-11340) - (-1 - (2 - 65/25)) and 173/180?
1260
Let p(j) be the third derivative of j**4/24 + 20*j**3/3 + 6*j**2. What is the smallest common multiple of 33 and p(-13)?
297
Let l = 6003 - 396089/66. Calculate the common denominator of 158/(-12) + (3 - 1) and l.
66
Let y(a) = a - 1. Let n be y(1). Suppose n = -4*o - 6 - 18. What is the lowest common multiple of 7 and o/(-21) + 103/7?
105
Suppose -x + 321 = 3*y + 43, 5*y - 2*x = 456. Suppose -y*k + 89*k = -90. Suppose -4 - 2 = -p. Calculate the lowest common multiple of k and p.
30
Let m = 738/79 + -275245/29151. What is the common denominator of m and -79/164?
1476
Let o be (30/3735)/(2/(-5423)). Let i = -3514838/83 + 42348. Let g = i - o. What is the common denominator of g and 13/2?
6
Let f = -4857/26 - -717523/3848. Calculate the common denominator of f and -22/111.
888
Let d(q) = 2*q**2 - 35*q + 78. Let v(f) = -f**2 + 8*f - 6. Let y = 1 + 4. Calculate the lowest common multiple of v(y) and d(15).
9
Let v = -2033074513/6 - -317160317623/936. Let k = 9658/13 - v. Calculate the common denominator of k and -73/6.
72
Let d(l) = -135*l + 285. Let i be d(23). Let o = -36636/13 - i. What is the common denominator of o and 53/16?
208
Suppose 2*h - 92 = -2*a, 169*a + 6*h - 196 = 165*a. Calculate the smallest common multiple of 6/4*(-2 + 32) and a.
360
Let g = 220661/712272 - -63/3344. Find the common denominator of g and 143/510.
36210
Suppose 0*m + 48 = 4*m. Suppose -2*z = -2*f + 20, -3*f = -4*z - 12 - 20. Calculate the smallest common multiple of f and m.
24
Let r = -1519559/76 - -19993. Find the common denominator of -61/44 and r.
836
Let r = 80141/780 + -1358/13. Let w = 78073/12 + -6504. What is the common denominator of r and w?
60
Let f = 58307/15 + -3873. Let v = 3163/210 - f. Find the common denominator of -83/4 and v.
28
Suppose 5*k = -4*x - 59, 2*k - 94 = 4*x - 0*k. Let i be (-1372)/x*(-3)/2. Let q = -68 - i. Calculate the least common multiple of q and 27.
270
Suppose -2*b + 4*v = 32, 0*b + b + 10 = -4*v. Let y be (-39)/91 - (-638)/b. Let m = -36 - y. Calculate the least common multiple of 5 and m.
10
Let h be -8*((-1 - 3) + 3). Calculate the least common multiple of 18 and (h/14)/(22/2926).
684
Let x = -61 - -64. Calculate the smallest common multiple of x and (-56)/16*48/(-14).
12
Suppose 216 = 5*n - 44. What is the smallest common multiple of n and (366/(-27) - -14)/(36/486)?
156
Let p(l) = -l**3 - 63*l**2 + 196*l - 117. Let m = -56 + 121. Calculate the least common multiple of p(-66) and m.
195
Calculate the smallest common multiple of 222 and (-24 - -48)*318/24.
11766
Let j = -807991121/95335500 - 5938/63557. Let y = -19/125 - j. What is the common denominator of y and -2 + 2/((-88)/34)?
132
Let j = -709/28 - -173/7. What is the common denominator of j and (-264)/(-55) + -5 - 674/80?
56
Let x = 351620/627 - 6168/11. Calculate the common denominator of 26/171 and x.
171
Let i = -232806 - -314288077/1350. Calculate the common denominator of i and 163/60.
2700
Let f = 73 + 217. Let t be (-14)/(-49) + f/14. Suppose 4*b - 71 - t = 0. Calculate the least common multiple of b and 10.
230
Let g(s) = 17 - s**2 + 23 - 3*s + 3*s + 11*s + 6*s. Suppose 0 = -3*n + 6, 8*a - n - 93 = 3*a. Calculate the least common multiple of 4 and g(a).
4
Suppose 0 = -78*l - 276 + 666. What is the smallest common multiple of 888 and l?
4440
Let s be (-12233)/3030 - 2/(-6). Let x = s + 2/505. Let d = -89765 + 89774. What is the common denominator of x and d?
10
Suppose -4*i = 7 - 19. Suppose 5*x - 112 = i*x. Suppose -5*p - 5*n = -60, 0 = p - 6*p - 3*n + x. What is the least common multiple of p and 13?
130
Let d = -322 - -324. Suppose m = -17*h + 12*h + 40, d*m + 4*h = 86. Calculate the smallest common multiple of 51 and m.
765
Suppose 22*w - 28*w + 8509056 = 0. Let t = w + -11324057/8. Let u = t - 2660. Find the common denominator of u and -83/4.
8
Let l = 22/1461 - 197303/1168800. Find the common denominator of l and 107/100.
800
Let u(g) = 0*g + 78 + 8 - 42*g. What is the least common multiple of u(2) and 22?
22
Let i be 1 + (-10)/(-15)*-3. Let t be (6 - 7)/(i/(-24)). Find the common denominator of (-56)/t*(8 - 0) and 25/2.
6
Let z = -3818025551 - -42303723137739/11080. Let v = z + 38/1385. Find the common denominator of 8/75 and v.
600
Suppose 33*y - 31*y + 20 = 0. Find the common denominator of 55/4 and (37/2)/(y/(-6)).
20
Let r = 4390 - 3536. Calculate the smallest common multiple of r and 244.
1708
Let f = 63 - 45. Let j(v) = 67*v - 164. Let g be j(10). Let m = g - 473. What is the least common multiple of m and f?
198
Let s(h) = 26*h - 14. Let m be s(4). Suppose 0 = 6*d - d - m. Find the common denominator of -25/12 and ((-735)/d)/(-7) - 2.
12
Let d be ((-26)/65)/(1/(-155)). Suppose 16*s - 2 = d. Calculate the least common multiple of 14 and s.
28
Let z = 8/27 - 235/216. Let w = -1354593/20 + 67761. Let a = 31 - w. Calculate the common denominator of z and a.
120
Let k be 635288/(-16) + (-12)/8. Let q = k + 1985241/50. Find the common denominator of 67/75 and q.
150
Let q 