36. Calculate the least common multiple of y(12) and 2690.
5380
Let o = -24/4705 + 329013/856310. What is the common denominator of -37/154 and o?
2002
Suppose 1146*q + 29700 = 1196*q. Calculate the smallest common multiple of 396 and q.
1188
Let i = 1679 + -1671. Calculate the lowest common multiple of 266 and i.
1064
Let w(l) = -2*l**3 - 10*l**2 - 8*l - 8. Let y be w(-6). Suppose -7*z = -3*z - y. Let f = -25 + z. What is the least common multiple of f and 6?
6
Suppose -3*p - 41 + 32 = 0. Suppose -5*h = -4*j + 45, -2*j + 0*j - 4*h + 16 = 0. Calculate the least common multiple of (1*(0 - (-2 + 5)))/p and j.
10
Let c be -1 + (1 - (-1 - 1)). Let f be (2 + -2)*(-16)/(-48). Suppose -6 - 3 = -c*i + n, 4*i + n - 27 = f. What is the common denominator of 70/9 and i?
9
Let j = -345764/184994217 + 10/5527. Let o = -1506503/5154534 - j. Find the common denominator of -71/154 and o.
154
Suppose 0 = -2*q - 4*t - 20, 3 = q - 3*t - 12. Suppose 0 = 4*y - q*y + 40. Calculate the common denominator of -7 - -8 - (-113)/y and 11/40.
40
What is the common denominator of -26/237 and 15/(1208700/(-243340)) + (-15)/(-5)?
4029
Let r = -108 + 100. Calculate the smallest common multiple of 16 and (-60)/(-14) + 1*r/28.
16
Suppose -111 + 147 = 6*o. Let m = -31 - -73. What is the lowest common multiple of m and o?
42
Suppose 4*u = -4*y - 16, 3*y - 69*u = -71*u - 6. Calculate the common denominator of 55/2631 and y.
2631
Let j(i) = -26*i - 238. Let l be j(-9). What is the common denominator of 1 - 3 - 9/(-7) and 14/(-8) - 2 - (-6 - l)?
28
Let l = -199058/31977 - -10/3553. Calculate the common denominator of l and (4200/1383 + -3)*1.
4149
Suppose -9*n = 10*n - 304. Suppose 4*f - 714 = -2*h, 62*f + 710 = 66*f - 2*h. What is the smallest common multiple of n and f?
1424
What is the common denominator of -137/1338 and (14 + 1144/112)*7/9?
1338
Let q be (-402)/84*-1591 + 3. Let z = -7624 + q. Calculate the common denominator of -97/20 and z.
140
Let x = 77200367/1460 + -52877. Calculate the common denominator of x and 2/5.
1460
Let h = 779/6 - 165145/1272. Let g = -5945/3816 + h. What is the common denominator of -33/659 and g?
5931
Find the common denominator of 1/((-40)/(-99)) + 68/(255/(-15)) and -61/2124.
21240
Let a = 15 + -10. Suppose 0 = 2*z - 7*p + 2*p + 18, a*z - 5*p + 15 = 0. Find the common denominator of ((-6)/2)/(z*(-15)/(-8)) and 11.
5
Let v = 969736025/1278 - 758792. Calculate the common denominator of v and 127/1278.
1278
Suppose 4*s - 1777 = -85. Let t = -437/395 + 1164754/2765. Let o = s - t. Find the common denominator of o and -17/6.
42
Let h(w) = -w**3 - 20*w**2 - 98*w + 8. Calculate the least common multiple of h(-16) and 66.
6072
Suppose 90*a - 347 = 61*a - 115. Calculate the lowest common multiple of 116 and a.
232
Let b(m) = -3*m**3 - m**2 + 5*m - 5. Let g(h) = 7*h**3 + h**2 - 12*h + 10. Let u(o) = 5*b(o) + 2*g(o). Calculate the lowest common multiple of 60 and u(-5).
120
Let y be (-230)/55 + 4 - (-178)/11. What is the common denominator of 3 + (-179)/y + (-75)/(-15) and -137/12?
48
Let j = 2031/4 - 491. Let n = 33 + -31. Calculate the common denominator of j and (-25)/n*(-5)/(-15).
12
Let z = -305281/409392 + 15/5686. Calculate the common denominator of z and 131/48.
144
Calculate the common denominator of -2/135 and (1/(-5) + (-56)/(-80))*(-5332)/5115.
1485
Let o = 38 + -20. Let w = 99 + -135. Let f = -27 - w. Calculate the smallest common multiple of o and f.
18
Let z be ((-20)/16)/((-1188)/236 - -5). Let c = z - 36. Calculate the common denominator of c and 5/49.
392
Let y = -101 + 124. Suppose 8*g + y - 103 = 0. What is the least common multiple of g and 23?
230
Calculate the common denominator of -139/174 and 9/15 + (-50679)/82215.
1218
Suppose 5*v - 10 = 0, -2*v + 5*v = 5*f - 279. Calculate the smallest common multiple of 148 and f/5 - (28/(-5) + 5).
444
Suppose -4*j - 335 = -4*k - 75, -5 = j. What is the least common multiple of 45 and k?
180
Let m(o) = o**3 + 26*o**2 + 28*o - 133. Let h be m(-25). What is the common denominator of -55/2 and 78/h - 1478/(-720)?
90
Suppose 2*b - 4*j - 154 - 6 = 0, 320 = 4*b + 2*j. What is the lowest common multiple of 1 and (b/(-12) - -4)/(10/(-15))?
4
Suppose 3*a - a = 72. Suppose 9*q = 106 - 61. Suppose y - 2*j = 28, -q*y + 2*y = 5*j - 29. What is the lowest common multiple of y and a?
36
Suppose -5*q = 5*l - 330, q = 4*l - 9*l + 86. What is the smallest common multiple of 375 and q?
22875
Let m = 25255 - 25246. What is the least common multiple of 5786 and m?
52074
Suppose 377*h = 386*h. What is the common denominator of (41/(-246))/(h - (-7)/153) and 71/70?
70
Let v = -230539256/2342085 + 3/312278. Let r = -635/6 - v. Calculate the common denominator of r and -103/18.
90
What is the common denominator of 90/(-420)*7/720 and -13/480?
480
Suppose 372*i = 373*i - 5*u - 33, -5*u = 5*i - 15. Calculate the least common multiple of 6 and i.
24
Suppose 9212 = 28*u - 24108. What is the least common multiple of u and 357?
3570
Suppose -249 = -4*f + 3*q, 19*f - 16*f + q - 177 = 0. Calculate the smallest common multiple of f and 49.
2940
Calculate the smallest common multiple of 6/96*444 + -7 - (-10)/8 and 227.
4994
Let r(t) = 155*t + 3731. What is the least common multiple of 13 and r(-21)?
6188
Calculate the common denominator of 48/707 and ((-153)/24038*2/3)/((-34)/(-578)).
707
Suppose 59*d = 63*d - 2*b - 396, 2*d + 3*b - 190 = 0. Suppose -57 = -117*o + d*o. What is the smallest common multiple of o and 261?
261
Let c(w) = -87*w**3 - 3*w**2 - 5*w - 3. Let v be c(-1). What is the common denominator of -77/15 and (17/(-51))/(4/(56/v))?
645
Let l(a) = -a**2 + a + 11. Let q = 5 + -2. Suppose -3*g + 33 = -q*k, -g - k + 7 = 2*k. What is the least common multiple of l(-2) and g?
10
Calculate the common denominator of (-24 + -1 + -5)*(-2)/(-8) and 113/10.
10
Let w = 73532/945 + -548/7. What is the common denominator of w and 71/1440?
4320
What is the common denominator of ((-348)/38512)/((-2)/((-852)/45)) and -109/90?
7470
Let w be (-24)/(-5)*(0 - (-10)/3). Let c be (-1291)/(-444) - (-12)/w. Let n = c - -1/111. Find the common denominator of -20/3 and n.
3
Let k = -1313/3 - -428. Let f = -22116 + 22226582/1005. Let i = -49271/13065 + f. Find the common denominator of k and i.
39
Let x be (5/1)/(2/10). Suppose -3*j - 51 = 3*v, -7 - 5 = 3*v. Let b = x + j. Calculate the lowest common multiple of b and 2.
12
Let q(z) = -4*z + 67. Let f(d) = d**3 + 41*d**2 + 33*d - 93. Calculate the smallest common multiple of q(4) and f(-40).
561
Let i(r) = -592*r + 24. Let g be i(-12). Calculate the common denominator of g/(-672)*(-4)/(-6) and -21/20.
140
Suppose 17*z - 14*z + 3*p - 7965 = 0, -5*z - 4*p = -13273. What is the smallest common multiple of 7 and z?
2653
Let l = 4044 + -4038. What is the smallest common multiple of l and (-7)/28 + 89/4?
66
Let r be -2 - 987/156*-1. Let h = 2107/156 + r. Find the common denominator of h and (-76411)/7310 - 36/(-102).
30
Calculate the common denominator of (-1)/(-3)*(-3)/6*3492/27360 and 11/6080.
18240
Suppose -4 = -q, -3*k + 18 = -0*k + 3*q. Suppose -k*i = -5*o - 18, 5*o - 3 = -2*i - 5. What is the smallest common multiple of 106 + i/((-2)/1) - 4 and 4?
100
Let w = 18 - -40. Suppose 5*m + w = k, 2*m = -4*k + 140 + 180. What is the least common multiple of k and 3/(-2)*(-36)/(-18) + 17?
546
Let o = -81209 + 81225. Suppose 7 = x + 1. Calculate the smallest common multiple of o and x.
48
Let o(n) = -2*n**3 - 2*n**2 - 2. Let b = 3 - 5. Let q = -17 + 23. Calculate the lowest common multiple of o(b) and q.
6
Let p = 123/40 - 14/5. Find the common denominator of p and ((-40)/(-84))/((-20)/(-35)).
120
Suppose -14*w = -9*w + 10. Let c(k) = 22*k - 6. Let b be c(w). Calculate the smallest common multiple of 15 and 336/10 - (-30)/b.
165
Let o = -108/138355 - 537074021/415065. Suppose 0*k + 5*m + 2610 = 2*k, 5*k - m = 6479. Let b = k + o. Find the common denominator of b and -32/51.
357
Let v = 2327 + -1859. What is the lowest common multiple of v and 6?
468
Suppose 73*j = 66*j + 2737. Let w = j - 296. Calculate the lowest common multiple of w and 19.
95
Let h = 763031 - 35099487/46. Let t = 62/361 + 31465/12274. What is the common denominator of t and h?
782
Let n(s) = -142*s - 2246. What is the smallest co