12) - -12)*7/26880.
2560
Let v = -16535 - -396977/24. Calculate the common denominator of v and 125/3924.
7848
Let s = 82/3617 + 211489/1041696. What is the common denominator of -47/44 and s?
3168
Suppose -3*z = 5*j - 265, 0 = -j + 2*j + 2*z - 60. Let r = -105175 + 105355. Calculate the least common multiple of r and j.
900
Calculate the lowest common multiple of 1045 and ((-4)/(-10) + (-9)/(270/552))/(-2).
9405
Suppose 0 = -9*j + 23*j - 16*j + 110. What is the lowest common multiple of 10 and j?
110
Let s be (-56)/(-42)*(-18)/(-8). Suppose -4*f - 5*o = -106, -s*f + o = -82 - 7. Calculate the least common multiple of f and 9.
261
Let l(h) = h**2 + 31*h - 2. Let v be l(-17). What is the common denominator of 43/20 and -4*5/60 + (-134)/v?
40
Let q = 158 - 4427/28. What is the common denominator of q and 110/14*-3*161/2484?
252
What is the least common multiple of 362 and 8 - 0*(185/(-30) + -1 + 7)?
1448
Suppose 0 = 2*a - 264 + 66. Suppose 0 = 6*k - 309 - a. Let d = k + -342/5. What is the common denominator of -85/12 and d?
60
Suppose -7 = 5*v + 2*f, 0 = -3*v + 7*v - 3*f + 1. Let o be (-143)/(v - 20/(-16)). Find the common denominator of 1758/o - (-2)/(-13) and 79/18.
198
Calculate the common denominator of -101/10842 and ((-2)/10 - 51822/5940) + (-8 - -16).
119262
Let o = -7874 - -9568. What is the lowest common multiple of o and 1540?
16940
Let z = 15 - 66. Let w = 52 + z. Let c(m) = m**3 - 5*m**2 - 6*m + 2. Calculate the least common multiple of c(6) and w.
2
Let j = -30073/6 + 4987. What is the common denominator of j and 2/((-2765)/505 + 5)?
24
Let o(m) = 2*m**3 - 4*m**2 - m + 10. Suppose 5*k = 4*y + 63, -2*y + 3*y - 78 = -5*k. Calculate the least common multiple of o(3) and k.
75
Let m = -11317/29568 - -3/128. What is the common denominator of m and 57/77?
231
Let t = -7311 + 21932/3. Calculate the common denominator of 31/326 and t.
978
Let j = 882 + -806. What is the smallest common multiple of j and 410?
15580
Let t = 176513/21868 + -1/3124. Let a = 140 + 720. Let k = a - 5147/6. Find the common denominator of t and k.
42
Suppose -f - 4 + 10 = 3*b, -2*b + 5*f = -21. Let x(u) = 3*u - 8. Let v be x(-8). Calculate the common denominator of 113/12 and 54/v - b/(-6) - 3.
48
Suppose 5*q = 6*q - 100. What is the common denominator of -47/55 and 6/10*(3 + q/(-28))?
385
Suppose 0 = 6*z - 38 + 2. Calculate the least common multiple of z/39*-1 - (-3563)/91 and 130.
390
Find the common denominator of -101/66 and 25/1575*(3 - 645/10).
462
Let x = -8107410229/40320 + 7037832/35. Let i = x + 23/1152. Calculate the common denominator of i and ((-164)/20)/(18/(-5)).
72
Let u(c) = -1 + 288*c**3 - 216*c**3 - c + 2. Let p be u(1). Calculate the common denominator of 4/(-1) + (-438)/p and 145/6.
12
Suppose -v = -3*w - 1 + 14, 2*w - 2 = 2*v. Calculate the common denominator of ((-2)/(-30))/((-20)/78) and (-1 + (-732)/(-72))/((-8)/w).
200
Let z = -2482 - -2491. Calculate the least common multiple of z and 575.
5175
Let h = -476/3 - -157. Let n = 23/5 + h. Calculate the common denominator of 2/14 - (-16)/(52416/(-6838)) and n.
90
Suppose 78 = 4*a - a. Calculate the least common multiple of 30/9*(148/(-20) - -11) and a.
156
Let x = -70 - -74. Let a be (18*-1)/(-1 + x - 4). Suppose -3*y + 6 = -a. What is the smallest common multiple of 104 and y?
104
Let c = 7730 + -247387/32. Calculate the common denominator of c and -37/2604.
20832
Let n(j) = j**3 + j**2 - 3*j - 3. Let i be n(-2). Calculate the common denominator of (i/6)/(1430/(-3267) + 0) and -11/4.
260
Suppose 322*o = 330*o - 2720. What is the lowest common multiple of 100 and o?
1700
Let d = 15973/659403 - -19/26805. Calculate the common denominator of d and -52/1025.
9225
Let b(h) = -h**2 + 28*h + 23. Let z be b(16). Suppose q = z - 185. What is the smallest common multiple of 15 and q?
30
Let x(h) = -h**3 + 2*h**2 - h - 7. Let l be x(3). What is the common denominator of (-27)/(-5)*(-5)/40 and (-12)/9*3/(-12)*l?
120
Let i be 0 - -2 - (5 + -4)*-50. Let k = -2 + 5. Suppose k*a - 40 = -m, -i = -0*a - 4*a - m. What is the lowest common multiple of 22 and a?
132
Let f = 236753/14 - 16918. Calculate the common denominator of 132*(45/75)/(8/5) and f.
14
Calculate the common denominator of (1588/292 + -6)*(0 - 1/15) and -50/3.
1095
Let w be 0 + (-14)/(-63) + 16/9. Suppose c - 19 - 9 = -5*z, w*z - 4 = 0. What is the least common multiple of c and 3?
18
Suppose 0 = -25*o - 17*o + 15498. Let v = o - 364. Calculate the common denominator of v and -89/394.
394
Let v = 8/34761 - -2114693/24888876. Find the common denominator of v and 113/36.
6444
Suppose 0 = -2*b + 3*h + 530, 0 = -2*b + 4*h + 957 - 421. Calculate the smallest common multiple of 360 and b.
11520
Let c = -2905 - -2985. Calculate the lowest common multiple of 120 and c.
240
Let w = -10783 - -11733. What is the lowest common multiple of w and 250?
4750
Let v be (8/6)/((-32)/(-12) + -2). Let p be (-24370)/(-18) - v*2/4. Let m = p + -1349. What is the common denominator of -1/27 and m?
27
Calculate the common denominator of (464/6360)/(3 + (1072/(-100))/4) and 73/14.
4452
Let p = -7 - -11. What is the least common multiple of -42 - (-3355)/61 - -2*12/(-3) and p?
20
Let n = -3147/268 - -33/67. Let h be -2 - (3 - 889719/84). Let f = 10590 - h. Calculate the common denominator of f and n.
28
Suppose -4*v + 3*v = r, 0 = -2*v + 2*r + 20. Suppose v*z + 2*m = 35, 3*z + 5*m = -z + 28. Suppose 5 + 11 = 2*b. What is the lowest common multiple of b and z?
56
Calculate the common denominator of 139/432 and 57183/(-1134) - 4*3/162.
432
Let p(h) = -h**3 - 21*h**2 + 40*h - 90. Calculate the least common multiple of 270 and p(-23).
2160
Suppose -7*w + 5*w - o + 20 = 0, -5*o + 23 = 3*w. Let k = 8 + -6. Suppose 2*h + k = -5*q, -4*h + 47 = -h - 5*q. What is the lowest common multiple of h and w?
99
Suppose 84*u - 96*u + 660 = 0. What is the least common multiple of u and 7310?
80410
Find the common denominator of -43/20 and ((-1125)/(-6048))/((-8)/(224/(-469))).
56280
Let c = -278/1211 - -84473/14532. Suppose 17 = 4*d + 5, -4*d - 60 = -3*u. Calculate the common denominator of c and (-29)/3*(-2)/u.
36
Let y = -237079/2492204 + 26/4357. What is the common denominator of 73/156 and y?
1716
Let k(w) = -w**3 - 13*w**2 - 4*w - 48. Let r be k(-13). Suppose 5*q + r*n - 355 = 9*n, 248 = 3*q + 4*n. Calculate the lowest common multiple of q and 8.
152
Let f = 1221 + -1214. Suppose 3*s = -10*s + 143. What is the least common multiple of s and f?
77
Let j be (-2)/(-10) + (-798)/(-35) - -2. Let k be 10/j + 44/(-10). Calculate the least common multiple of ((-42)/k)/((-6)/(-16)) and 6.
84
Suppose 5*l - 5 = -3*p, -19 - 3 = -4*p + l. Suppose -y + 3*g - 16 = 0, 10*g + 5 = 11*g. What is the smallest common multiple of (p/6)/(y/(-6)) and 9?
45
Suppose -1640 = -2*y - c - 1472, 0 = -y - 5*c + 111. Suppose -2*i - 63 = -225. Calculate the least common multiple of i and y.
81
Suppose -154*b + 307*b - 8640 = 147*b. What is the smallest common multiple of b and 40?
1440
Suppose -27*x = -21*x - 126. Suppose 120 = 9*c - 69. Calculate the lowest common multiple of c and x.
21
Let d = 4137/4 - 1056. Let p be (2130/1069)/(27 + -23). Let c = 2/1069 + p. Find the common denominator of d and c.
4
Let t(s) = s. Let n be t(3). Suppose -42 = -2*u - 5*b, 37*b = -2*u + 42*b - 18. Calculate the lowest common multiple of u and 2/n + 128/6.
66
Let f = -12812/3 + 37735/6. Let q = f + -2061. What is the common denominator of -61/8 and q?
8
Let c = 1231226/39 - 31568. Find the common denominator of 53/2535 and c.
2535
Suppose 15*s + 421 = 556. What is the least common multiple of s and 45?
45
Let d(f) = -f**3 - 7*f**2 + 8*f + 5. Let o be d(-8). Suppose o*k = -2*k. What is the least common multiple of 34 and (4 - 0) + 10 + k?
238
Let x(u) = -86*u - 114. Let d be x(-5). Suppose 313*w = d*w - 72. Calculate the lowest common multiple of w and 36.
72
Let q be -2*(-71)/(-8) - (-8)/(-32). Let o be ((-97011)/q)/3 - (-1)/4. Let c = o - 1785. What is the common denominator of 51/58 and c?
116
Suppose 0 = 5*a - 3*a - 104. Calculate the least common multiple of a and -40 - (-97)/(4462/3312).
416
Let k(j) = -j**3 - 5*j**2 + j + 7. Let s be k(-5). Suppose 5*p - 5*t = 20, -s*t - 20 = -3*p - t. What is the smallest common multiple 