 29*l = 5620 - 5591. Calculate the least common multiple of l and i(1).
76
Let o be 1/3*(-42 - -54). Suppose -14*t + o*t + 60 = 0. What is the smallest common multiple of 86 and t?
258
What is the least common multiple of 23 and (-3)/((-36)/12516) + 24/(-3)?
1035
Suppose 5*q = 7*q + 2*f - 98, -q + 3*f + 65 = 0. Suppose 0 = h - 257 + q. What is the smallest common multiple of h and 1?
204
Let d = 1/130973 + -6156817/142236678. What is the common denominator of 131/18 and d?
3258
Let l = 133 + -51. Let f = 1656 - 1654. What is the smallest common multiple of l and f?
82
What is the common denominator of 2661/(-504) - 472/(-826) and 51/38?
456
Let x = 5748 + -5574. What is the lowest common multiple of x and 18?
522
What is the common denominator of 46/4*6/(-45) and 2 - (7/(-28) + 339/108)?
45
Let b(q) = -3*q + 69. Let c be -5*9*(-2)/10. Let w be b(c). Suppose 0 = -44*p + w*p + 128. What is the lowest common multiple of 1 and p?
64
Suppose 11*y - 598 = -9*y + 1362. What is the smallest common multiple of y and 34?
1666
Suppose 2 = 4*s + 5*b - 27, -5*b = -5*s + 25. Calculate the least common multiple of s and 32/2 + (-24)/6.
12
Let a = 8748 + -8692. What is the least common multiple of a and 4304?
30128
Suppose -2*p = -4275 + 1137. Let s = -22051/14 + p. What is the common denominator of s and -107/12?
84
Let l(z) = 7*z - 24. Let k be l(6). Suppose -12 = -f + 4*s, 8*f = 3*f - s + k. Suppose -f = -h + 2. Calculate the smallest common multiple of 8 and h.
24
Let d(h) = 34*h**3 + h**2 + 3*h - 14. Let c be d(2). Let b be -1 + (1 - (-878)/(-4)). Let l = b + c. Find the common denominator of 46/11 and l.
22
Let a(h) = h**2 + h - 16. Suppose -80*s + 78*s = 12. Calculate the smallest common multiple of a(s) and (-4)/20 - 243/(-15).
112
Suppose 3*r + 104 - 122 = 0. Calculate the common denominator of 2/(-6) - r/((-5400)/(-305)) and -11/8.
360
Let y(f) = -f + 37. Let p be y(33). Suppose 18*w = 14*w + p, z - 55 = -w. What is the least common multiple of 18 and z?
54
Let s(w) = 25*w**2 - 2*w + 75. What is the least common multiple of s(-6) and 3?
987
Suppose -3*m = 35 - 47. Let g be 8/14*(3/(-6) + m). Suppose -2*w + 2*v + g = -2, -6 = -3*w + 2*v. Calculate the lowest common multiple of w and 146.
146
Suppose -24*n = -50*n - 260. Find the common denominator of 57/310 and (n + (-177)/(-18))/((-10)/426).
310
Calculate the common denominator of (-1305)/(-168) - (512/56 + -9) and -25/431.
3448
Suppose -3*f = 0, 166*p = 163*p + 2*f + 7 + 20. Suppose 58 = -2*r + 214. What is the least common multiple of p and r?
234
Let l = 896189/82 - 10930. Calculate the common denominator of l and 11/2.
82
Let a be (-220218)/126 + 12/(-112)*-4. Let c = 1729 + a. Find the common denominator of c and 19/78.
78
Let r(j) = j**3 - 5*j**2 - 5*j - 2. Let c be r(6). Suppose 3*w - 5 = c*w, w = z - 9. Suppose -z*i + 66 = 2*i. What is the least common multiple of 60 and i?
660
What is the common denominator of (3 + -3)/(-2) - (-4611)/143312 and 127/2912?
37856
Let y = -12 + 266. Suppose -y + 34 = -4*x. Suppose -x*a = -53*a - 54. What is the least common multiple of a and 33?
297
Suppose a = 6*a, -165 = -5*h + 3*a. What is the least common multiple of h and 810?
8910
Let d = -173 - -209. Suppose -2*m - 17 = -4*k + 25, 4*m = -2*k + 36. What is the least common multiple of d and k?
36
Suppose 6*j + 3*b = j - 1710, 0 = -5*j + 2*b - 1735. Let f = j - 12. Calculate the common denominator of f/(-171) - 2/3 and 17/10.
190
Find the common denominator of 51/826 and 0 + -8 + 18 + (-478)/24.
4956
Let a = -3072/19 - -654925/4047. Find the common denominator of 61/213 and a.
213
Let v = 36 + -30. Let w be -8 - 8/v*-3. What is the common denominator of ((-112)/200)/(w/(-13)) and -145/6?
150
Let b = 124 - 89. Let r(h) = -214*h + 221. Calculate the lowest common multiple of r(1) and b.
35
What is the smallest common multiple of 2244 and (4070/2849)/(5/42)?
2244
Let y = 85099/3 + -7658831/270. Calculate the common denominator of 7/864 and y.
4320
Calculate the common denominator of 139/414 and 6 - (-10 - (-6405)/644)*3758/(-35).
2898
Suppose 4*v = h + 4*h + 1097, -3*v = -4*h - 822. Calculate the smallest common multiple of v and (4/7)/((-272)/204 + 20/14).
834
Let w = 39/5263 - 184993/2947280. Find the common denominator of w and -107/168.
1680
Calculate the common denominator of 133/1962 and (-8128)/(-1344) - (88/(-14) + 6).
1962
Let d(s) = -1 - 4*s + 9*s - 3 + 3*s. Let i = -11 - -15. What is the lowest common multiple of d(3) and i?
20
Let x = 64/9 - 1001/18. Calculate the common denominator of x and 3 - ((-2)/(40/(-214)) - -3).
10
Let d(i) = -i**3 + 64*i**2 + 129*i + 223. Suppose -5 = -w + 2*o, 4*o = 3*w - 9 - 6. What is the lowest common multiple of d(66) and w?
25
Let q = -290191 + 534531791/1842. What is the common denominator of q and -8/51?
31314
Let s be 4046/18 - (8/(-9))/4. Let q = s - 220. What is the lowest common multiple of q and 10?
10
Let g = 381/2 - 194. Let r = 5081 - 10077/2. Find the common denominator of g and r.
2
Let q = 346 + -280. Suppose s = -r + 11 + 4, -4*r + q = 2*s. Let p(m) = -3*m. Calculate the least common multiple of p(-4) and r.
36
Suppose 5*u = -n + 789 + 457, -6374 = -5*n - u. What is the smallest common multiple of 28 and n?
8932
Let b(t) = -t**2 + 21*t - 27. Let a be b(20). Let y = a - 2. Calculate the common denominator of (46/120)/(1/y) and 91/16.
80
Suppose -b = 2*b - 18. Let d(y) = y**3 - 177*y**2 + 522*y + 30. Calculate the least common multiple of b and d(174).
30
Let h be (-86890)/41500 + (-1)/(-4). Let v = -105/332 + h. What is the common denominator of v and 17/7?
175
Find the common denominator of 43/64 and -12 + 898/(-960) - -13.
960
Let h be 7 + (-1 - 0)/1. Let r = 50407/4 - 12620. Calculate the common denominator of r and h/16*(-122)/(-6).
8
Let s be 1751/78 - (-32)/(-48). Let w = s + -190/13. Calculate the common denominator of 1/54 and w.
54
Suppose -15*y - 96 = y. What is the common denominator of ((-9400)/294)/(-5) + y*1 and 43/6?
294
Suppose 120 = 3*z - 3*d, -2*z + 4*d + 47 = -23. Suppose -2*y + 127 = 5*l, 3*y - 58 - 11 = -3*l. Calculate the smallest common multiple of z and l.
135
Calculate the lowest common multiple of -69 + 82 + 223*1 and 14.
1652
Let r(w) = 2*w**2 + w - 2*w**2 + 4*w - 8*w**2 - 2. Let f be r(2). Calculate the lowest common multiple of 5 and 10/6 - 32/f.
15
Let k = -37267092188/805833 + 73530/12791. Let y = k - -46242. What is the common denominator of y and 79/12?
252
Let j = -245 + 56. Calculate the common denominator of 16/644*21/(-6) - 394/(-828) and -5 + 3 - j/44.
396
Let i = 9556 - 2838142/297. What is the common denominator of i and 47/270?
2970
Suppose 2*v + 5*m + 1412 = 0, -5*v - 4*m + 6*m - 3501 = 0. Let a = -2060/3 - v. Let p = 176 + -1214/7. What is the common denominator of a and p?
21
Let u = -5241 - -5304. What is the smallest common multiple of 77 and u?
693
Let a be 56/27 + (-1)/(27/2). Let i = 1 - 2. Calculate the least common multiple of (-1 - -3)*((i - 0) + a) and 6.
6
Suppose 2*s + 11 = 27. Suppose -2*z + 4 = 0, -2*l - 4*z + 3*z + s = 0. Suppose -l*o + 43 = -23. What is the lowest common multiple of 12 and o?
132
Let s = -218 - 138. Find the common denominator of 2/(-8) + s/320 + 2 and -55/24.
240
Let w = -607 - -613. What is the smallest common multiple of 390 and w?
390
Let i = 12679/1834 + 2/131. Let z = 1325/3 - 242. Let o = z - 5837/30. Calculate the common denominator of o and i.
70
Suppose 4*p + 19 = z + 3*p, -3*z + 4*p = -58. Calculate the smallest common multiple of 2034 and z.
2034
Suppose 55 - 127 = -24*i. Suppose 0 = i*o - 30 + 18. Suppose 0 = -j + 7 - 1. Calculate the smallest common multiple of j and o.
12
Let m(b) = 5*b**2 - 9*b - 62. Let z be m(17). Suppose 11*x = 21*x - z. What is the smallest common multiple of 9 and x?
369
Let a = -992 + 11881/12. Let c be 2/(4/(-10)) - (-20 - -12). Find the common denominator of a and 1/c + (-391)/306.
36
Let u be 4 - 0 - 6 - (0 - -6). Let r = u - -15. Suppose 2*n - r*n + 60 = 0. Calculate the smallest common multiple of n and 39.
156
Suppose 0 = 2*t - 18*l + 21*l + 224, 5*t + 2*l + 560 = 0. What is the lowest common multiple of 4 and (t/140)/(182/(-90) + 2)?
36
Suppose 82 = 18*v - 26. Calculate the smallest common multiple of 39 and (-462)/(-18) - (-8)/