).
2112
Suppose 217*i = 273*i - 392. Let a(t) = t**2 - 4*t + 1. What is the lowest common multiple of a(5) and i?
42
Suppose -50*x + 3432 = -39*x. Find the common denominator of (10/24)/(6 - 1856/x) and -69/14.
56
Let s(m) = 3*m**2 + 2*m - 3. Let g be s(4). Suppose -g = 4*t + 5*l, 2*t + 32 = -4*l - 2. Calculate the common denominator of -125/12 and 11/18 + (2 + -7 - t).
36
What is the common denominator of 24/1037 and ((-4)/(-488))/((-145)/(-203))?
10370
Let u(h) = 2*h**3 - 20*h**2 + 27*h - 210. Calculate the lowest common multiple of 658 and u(11).
658
Suppose -s - 3*r + 307 = -7*r, 935 = 3*s - 5*r. What is the lowest common multiple of 168 and s?
2520
Let o(y) = y**3 + 19*y**2 - 3*y + 9. Suppose 4*u + 56 = -5*i, 7*i = 2*i + 20. Calculate the lowest common multiple of 24 and o(u).
264
What is the smallest common multiple of (-4 - -15)/(28 + -17) and 10303?
10303
Let d = -324086/27 - -12005. Find the common denominator of ((-123)/10)/((-36)/(-16)) and d.
135
Let a = -4691857/170877222 - 1/982053. What is the common denominator of -49/348 and a?
3132
Let b = -61213/6 + 10191. Let k = -12289/2140 + -4/535. Find the common denominator of b and k.
12
Let j(k) = -k**2 + 129*k - 954. Calculate the smallest common multiple of j(8) and 2338.
2338
Let p(r) = 23*r - 40. Let n(d) = -71*d + 117. Let w(s) = -4*n(s) - 11*p(s). Calculate the lowest common multiple of w(4) and 96.
96
What is the smallest common multiple of (218/545)/((1/180)/1) and 2106?
8424
Suppose 0 = 4*s + 12, 2*s - s = 3*w - 105. Let v(g) = 8*g. Let f be v(1). Calculate the common denominator of w and 348/f*(-8)/(-18).
3
Suppose 4*p = 5*w + 5971, -1890 = -p + 5*w - 431. Calculate the least common multiple of 3008 and p.
3008
Let q(p) = -p**2 + 7*p - 9. Let i be q(7). Calculate the common denominator of 1/2 + (-49)/3 and (80/(-25) + 2)*i/13.
390
Let k = -14561 + 14573. What is the least common multiple of k and 329?
3948
Let v be 0 + (-49632)/110*2/3. Let m = 294 + v. Calculate the common denominator of m and -54/35.
35
Find the common denominator of 41/30 and 5/2 - (-16)/((-416)/90).
390
Suppose 23 = 5*b - 92. Calculate the least common multiple of (b - -5 - -5)/((-6)/(-4)) and 74.
814
Let v = -348363 + 416642071/1196. What is the common denominator of 67/312 and v?
7176
Suppose -r - 41 - 21 = 0. Let w = r + -216. Let q = w + 2522/9. Calculate the common denominator of q and -23/7.
63
Let t = 1134 + -2113/2. Let w = -73 + t. Calculate the common denominator of 41/5 and w.
10
Let c = 108 + -122. Let d = -2/1807 + 92179/19877. Calculate the common denominator of (c/105)/(3/(-198)) and d.
55
Suppose -3*c + 1449 - 504 = 0. Let r = c + -135. Suppose 3*n = -6*n + r. What is the smallest common multiple of n and 4?
20
Let c be (7/3*8)/(6/90). Calculate the common denominator of c/(-12) + 27/(-18) and -67/30.
30
Find the common denominator of (828/1360)/((-2)/(-10) + 37/37) and -103/496.
8432
Suppose -5*v + 18 = 4*g, -v = -57*g + 55*g - 12. What is the smallest common multiple of v and 124?
372
Let x = -7513 + 15015/2. What is the common denominator of -74/87 and x?
174
Let g = 0 - -10. Let t be -3 - -46 - (-15)/3. Let r = -38 + t. What is the smallest common multiple of g and r?
10
Suppose 39*o + 684 = 2166. Suppose 0*c - 3*k = -2*c + 8, 5*c - 30 = 5*k. Suppose -c - 6 = -g. What is the least common multiple of g and o?
304
Let j = 1/161488 + 216947/8478120. Find the common denominator of j and -91/66.
18480
Let n(y) = -39*y - 742. Calculate the lowest common multiple of 1034 and n(-20).
19646
Suppose 2*s = -2*a + 114, 0 = 13*s - 20*s - 21. Calculate the lowest common multiple of a and 16/(-3)*(-27)/6.
120
Calculate the least common multiple of 528 and -2 - 14/(-3) - (-1092)/117.
528
Let u be (-126)/(-1356)*((-219)/225 + 1). Let x = u - -54763/16950. What is the common denominator of -87/16 and x?
240
Let x = -2/13759 + -68697/674191. What is the common denominator of x and 34/973?
6811
Let j = 15238/3 - 5169. Let k = -8754793/24 + 364698. Let p = j - k. Calculate the common denominator of p and 43/5.
40
Let r be (1 - 153/(-2))*-2. Find the common denominator of r/6 - (1 - 4) and (-207)/170 + 33/55 - -1.
102
Let y = -1725 + 1743. Suppose 0 = -n - 4*n - 60. Calculate the common denominator of 56/27 and 59/y - 4/n.
54
Let p = 666293 - 714266199/1072. What is the common denominator of p and -46/5?
5360
Suppose -4*d + 8284 = -0*d. Suppose 967 - d = -8*b. What is the lowest common multiple of 21 and b?
966
Suppose 2*v - 114 = 8*t - 13*t, 0 = -4*v + 3*t + 202. Suppose 4*d - v = 188. What is the smallest common multiple of d and 32?
480
What is the common denominator of 4/11 - (-1 + 463/374) and -54/17?
374
Let q = 266412 - 410274343/1540. Calculate the common denominator of -106/105 and q.
4620
Let r = 24095/13 + -1856. Suppose 63 = -4*f + f + 4*a, -a - 3 = 0. Let w = -99/5 - f. What is the common denominator of w and r?
65
Let l = -39717 + 55634. Let p be 1 + ((-1431955)/18)/(-5). Let x = p - l. Find the common denominator of x and 119/30.
90
Let s be 6*9 + 4 + -4. Let i = 23103 - 762472/33. What is the common denominator of i and 2/s*-121 + 3?
297
Let s(j) = -j**3 + 9*j**2 - 3*j + 4. Calculate the smallest common multiple of s(6) and 4*(5 + 108/(-48)).
1034
Let o(g) = 196*g + 69. Let s be o(-3). Let l = 635 + s. What is the smallest common multiple of l and 1?
116
Let a be ((-75)/72 - -1)/((-235)/(-40545)). Let n = -50/47 - a. What is the common denominator of n and -35/38?
152
Let v(d) = 62*d**2 - 10*d + 24. Let y be v(2). Find the common denominator of (-1064)/y - (-2)/6 and -139/84.
252
Find the common denominator of -2 + 1 - ((-144078)/(-308))/(-59) and 59/70.
70
Suppose -2*s + 3*i = -1334, -5*s = -3*i - 527 - 2799. Calculate the lowest common multiple of s and 12.
1992
Let u be (-230)/(-32)*3084/30. Let n = 737 - u. Find the common denominator of n and -49/40.
40
Let f be (116/6 - -2)*(-15)/(-2). Let k be (-310)/4*(0 + f/(-4)). Let u = k + -12499/4. What is the common denominator of 79/2 and u?
4
Let k = -28271/44 - -643. Calculate the common denominator of k and -12/7.
308
Let q be 28/49 - (-8309762)/14. Let l be (-4)/(-22) - q/(-83820). Let z = l - 44/127. What is the common denominator of z and 83/14?
84
Suppose -7*t - 1006 - 296 = 0. Let a be (1/(-2))/((-1)/t). Let x = a + 143. Calculate the common denominator of x and 10/9.
9
Let a be (-433)/(-264) + (-27)/(-162). Let k = a + -5063/2376. Calculate the common denominator of 79/4 and k.
108
Let x = 845 - 10133/12. Suppose 14*c - 667 = 425. Calculate the common denominator of x and 13/c*(-642)/34.
204
Let u(f) = -f**3 + 10*f**2 + 55*f + 20. Let k be u(14). Suppose k*d - 2*d - 2*j = 88, -d + 22 = -2*j. What is the smallest common multiple of 18 and d?
198
Let k be 5987/6*(-4)/(-254). Let l = k + -6/127. What is the common denominator of l and 141*(-20)/2160*4?
9
Let k = -23 + 12. Let u(a) = a**2 + 7*a - 9. Calculate the common denominator of u(k) and 39/151.
151
Suppose 22*s - 152 = 18*s. What is the common denominator of 19/18 and (s/(-450))/((-11)/(-33))?
450
Suppose -52*u + 3*c - 51 = -55*u, -3*u + 2*c + 26 = 0. What is the common denominator of u + 91/(-70) + (-4)/(-5) and -107/494?
494
Suppose -32*f = 7703 + 4745. Let t = -380 - f. Calculate the least common multiple of t and 270.
270
Suppose 20*u - 42792 - 14432 = -26*u. What is the smallest common multiple of 20 and u?
6220
Let i be (17027/(-8))/((-15)/(-12)). Let z = -1701 - i. Let x = -1118101/98296 + -2/12287. What is the common denominator of z and x?
40
Suppose 27489 = -3535*a + 3546*a. Calculate the smallest common multiple of a and 255.
12495
What is the common denominator of -17/500 and (330/(-30250))/(2/(-3))?
5500
Let y = -395574 + 151900333/384. Find the common denominator of 49/480 and y.
1920
Let g(v) = -v**3 - 29*v**2 + 24*v - 50. What is the least common multiple of g(-30) and 130?
130
Let z = -10721687 - -7237140388/675. Let m = 46/27 - z. Calculate the common denominator of m and -44/21.
525
Let n be (1900/20)/((-1)/(2 - 1)). What is the common denominator of n/60 + 0 - 8 and -13/4?
12
What is the common denominator of (-1)/(-1090)*(-6)/(-9)*520/(-48) and 65/1308?
3924
Let q = -3545375/87843231 + 54/48559. What is the common denominator of 49/2211 and q?
19899
Let 