t l be (12/(-14))/(-2) + (-1360)/119. Let x = -4688 + 46823/10. What is the common denominator of x and 146/(-192) + l/((-66)/4)?
160
Let o(n) = -2*n**2 - 21*n + 10. Suppose -19*k + 10*k - 99 = 0. Let i be o(k). Calculate the common denominator of 1716/77*i/(-4) and 27/11.
77
Suppose 4*m - 3*v - 8 = -v, 0 = 4*v - 8. Suppose 4*l + 2*y = -136, -l - y - 140 = m*l. Calculate the least common multiple of 30 and 18*((2 - 1) + (-12)/l).
120
Suppose -17*r + 30*r + 13 = 0. What is the common denominator of 88/15 and (r - (-9)/(45/38)) + 4?
15
Let q = -4698 - -277193/59. What is the common denominator of 105/176 and q?
10384
What is the least common multiple of 72 and (6 - 0)*(-1144)/(-26) - 0?
792
Let j = -525710318/3989 + 131790. Let x = j + 160496/466713. Calculate the common denominator of 7/3 and x.
117
Let r = 526 + -304. Let x = -7243/690 + -1/345. What is the common denominator of 2 - (1 - r/(-32)) and x?
16
Suppose 0 = -7*g + 6*g + 4. Suppose -n - g*b - 308 = -0*n, 4*n = -4*b - 1232. What is the common denominator of -54/5 and ((-54)/(-56))/(2 + 592/n)?
40
Let h(l) = 11*l**2 - 3*l - 5. Let f be h(-1). Suppose -4*w = d - 60, 8*w + 5*d + 36 = f*w. Calculate the lowest common multiple of 28 and w.
112
What is the common denominator of -35/57 and ((4/6)/(10 + (-332)/33))/8?
456
Let a = 12 + -42. Let i = 2/7453 - 119286/141607. Find the common denominator of 0/1 - 6/a and i.
95
Let z = -8161 - -8169. What is the least common multiple of z and 202?
808
What is the common denominator of 25/187 and (-3507)/(-289) + (-156)/13?
3179
Let u(z) = 2*z**3 + 60*z**2 - 69*z - 9. What is the smallest common multiple of u(-31) and 15?
3120
Let n = 23265 + -20173. Calculate the smallest common multiple of 10 and n.
15460
Let k = -420393 + 42038459/100. Let c = k - -273/50. Find the common denominator of -43/7 and c.
140
Let g = 104249/12876 + -14/1073. What is the common denominator of g and -51/1880?
5640
Suppose 0 = -15*p + 8*p + 1358. Let q = -128 + p. What is the smallest common multiple of 36 and q?
396
Let l = -150/69733 - -203236912/16247789. Let c = l - 3/466. Find the common denominator of 9/6 - (-10 + 1194/72) and c.
12
Let w = -301373/2770614 + 141/1999. What is the common denominator of w and 87/770?
6930
Let b(o) = 5*o + 1. What is the smallest common multiple of b(7) and (14/49)/((-6)/(-231))?
396
Let j(p) = p**3 + 22*p**2 + 94*p - 11. Suppose r = 5*u - 27, 0 = 3*u + 4*r - r - 27. Let q = 3 + u. What is the lowest common multiple of q and j(-16)?
63
Let n be (-49 + 37)/((-2)/28). What is the smallest common multiple of n/72 + (-1)/3 and 14?
14
Let k be (-2219)/(-42) - (-3)/18. Let n(q) = 23*q + 2. Let l be n(-2). Let f = l + k. What is the smallest common multiple of f and 6?
18
Let i = -33743/3 + 10392703/924. Find the common denominator of i and 33/20.
1540
Calculate the common denominator of (-125)/102 - 0*(-15)/(-135) and 79/105.
3570
Let d(z) = 3*z + 8. Let x be d(-1). Suppose -4*n + 20 = 3*s, -5*n + x*s + 100 = 40. Calculate the smallest common multiple of n and 52.
104
Let k be (4 + 134/4 + 3)*6. Let v = k + -743/3. What is the common denominator of 15/16 and v?
48
Suppose 3225 = 7*b - 2*b. What is the common denominator of -19/8 and b/(-144) + 3 - -4?
48
Let q be 29/(((-6)/(-28296)*3)/1). Let b = q + -3282241/72. Calculate the common denominator of 91/45 and b.
360
Let u = 30280 - 394136/13. Let t = -1243/52 - u. What is the common denominator of 43/6 and t?
12
Let v(n) = 106*n - 132. Let h = 61 - -83. Calculate the least common multiple of h and v(2).
720
Let i = -1712 - -1728. What is the lowest common multiple of i and 2016?
2016
Let s = 5 - 11. Find the common denominator of s/(-36)*136/(-42) and (-170)/(-90) + 6/(-9).
63
Suppose -6*v - 96 + 876 = 0. Suppose -5*s + 25 = 0, 5*q = -0*s - 2*s + v. Calculate the smallest common multiple of q and (-588)/49*(8/(-6))/2.
24
Suppose 20867 = -23*w + 142583. Calculate the lowest common multiple of w and 1029.
37044
Let p = 212 - 475. Let i = p + 269. What is the smallest common multiple of i and 44?
132
Suppose 3*x + 292 = 7*x. Let c(k) = -k**2 - 25*k + 61. Let t be c(-22). Suppose -5*j + x = -t. Calculate the least common multiple of 6 and j.
120
Let l = 265150793/18 - 14723653. Let z = 6951 - l. Let b = -14/183 + -4031/732. Find the common denominator of b and z.
36
Let q = 5724 - 5650. What is the least common multiple of q and 118?
4366
Suppose 0 = 14*t + 7*t - 1407. Suppose -331 = -8*u - t. What is the lowest common multiple of u and 10?
330
Let h(b) = 3*b - 3. Let p be h(-3). Let d be (104/195 + 2/(-3))*-15. Calculate the lowest common multiple of 6 and (p/(-1) - d)*(-8)/(-16).
30
Let k = 5500 - 132103/24. Calculate the common denominator of k and ((-14)/20)/((-78)/(-325)).
24
Let x = 22036 - 21666. What is the smallest common multiple of x and 4403?
44030
Suppose -15*g + 10*g + 3*y = -3704, -y = -2*g + 1482. Calculate the smallest common multiple of g and 77.
8162
Let l = -125350560 - -3007811047/24. Let x = l + 25104. Find the common denominator of 9/52 and x.
312
Suppose -2*k = -4*a + 12, 5*k + 14 = 4*a + 2. Suppose 88 = -k*b + 4*b. What is the lowest common multiple of 4 and b?
44
Let k(q) = q**3 - 5*q**2 + 3*q - 4. Find the common denominator of k(4) and (-8)/14 + ((-5)/28)/(95/3021).
4
Let t = 50 - 41. Suppose t*l = 10*l - 12. Suppose 3*b + l = 72. What is the smallest common multiple of b and 2?
20
Let i(y) = y**3 + 6*y**2 + 10*y + 6. Let m be i(-6). Calculate the lowest common multiple of 3 and ((-2)/12)/((-2)/(-8))*m.
36
Suppose 0*k + 20 = 2*k. Let c be 3/(-3)*(5 - 6). What is the least common multiple of 2 - 2 - -4*c and k?
20
Suppose -3*o + 11*d = 7*d + 23, -5*o - 4*d = 49. Let j(n) = -n**2 + 10*n + 4. What is the least common multiple of j(10) and 4 + (12/(-24) - o/2)?
8
Let s(i) = i**2 - 23*i + 114. Let w be s(13). Calculate the common denominator of 71/10 and -4 - ((-664)/w - -5).
10
Let u(o) = 27*o + 130. Let d be u(-8). Let b = d + 101. Calculate the lowest common multiple of 9 and b.
45
Suppose -3*y = 2*q - 2, 2*y - q + 0 = -8. What is the common denominator of 2/(-4) - (2 - -13) and ((-3)/y)/(14/(8680/(-45)))?
6
Let g(i) = -i**2 - 4*i - 3. Let v be g(-5). Let n = -3923/20 - -197. Calculate the common denominator of (-134)/16 + (-2)/v and n.
40
Calculate the smallest common multiple of ((-72)/15 + 4)*(-4 - 1) and 48.
48
Let k = 75884 - 3186971/42. Calculate the common denominator of k and 120/220 - 1061/(-132).
84
Let f = 12249 - 196077/16. Find the common denominator of f and 44/20 + -2 + 63/310.
496
Suppose 15 + 15077 = 71*w - 6563. What is the smallest common multiple of w and 183?
915
Suppose 144 = -13*t + 25*t. What is the common denominator of t/(-3) + (-133)/126 and -117/10?
90
Let z(m) = m**3 - 6*m**2 - m - 6. Let f be z(6). Let o(c) = c + 44. Calculate the common denominator of (-2)/5 + 71/(-35) and o(f).
7
Let m = -34 + 37. Let p = 12713 - 317768/25. What is the common denominator of (-321)/24 + m*(-8)/(-12) and p?
200
Let v = 2/9783 - -172733/489150. Calculate the common denominator of -35/222 and v.
5550
Let y be (-136588280379)/5*(-925)/(-1312711681540). Let w = y - -51/86877014. Let n = -1/1511 + w. What is the common denominator of n and 36?
4
Suppose -14*y = -6 - 50. What is the smallest common multiple of 21 and 7*(y/(-30) + (-1670)/(-150))?
231
What is the lowest common multiple of 10 and (993 - 36/(-3)) + -13?
4960
Let m(x) = -33*x**2 - 4*x + 24. Let f be m(3). Let k = -177 - f. Calculate the least common multiple of k and 42.
756
Let p(g) = 4*g**2 - 5*g + 19. Let t be p(4). Let j = 35 - 42. What is the least common multiple of 1116/t + (-2)/j and 14?
126
Let a = 26366202/5 - 1155808303/220. Let q = a - 19565. Find the common denominator of 26/55 and q.
220
Let m(q) = 26*q + 976. What is the smallest common multiple of m(-35) and 402?
4422
Let g = 1828/45 + -686/15. Find the common denominator of g and 24/3*-1 - ((-1586)/(-351) - 14).
27
Suppose -7*n - 4*s = -2*n - 101, 3*n - 2*s - 65 = 0. Let k = n + -13. Suppose 2*z = 6*z - k. Calculate the least common multiple of 5 and z.
10
Let g be 6*1 + 2088/(-354). Let y = g - -3693/236. Find the common denominator of y and -29/54.
108
Let w = -1208997/95 + 12726. Find the common denominator of -20*(-16)/100 - (