Let c(a) = a**3 + 6*a**2 + v*a - 2*a + 13 - 6*a**2 - 9*a**2. Calculate the smallest common multiple of 9 and c(8).
45
Let w = -2/46171 - 412111/79137094. Calculate the common denominator of -49/2 and w.
1714
Suppose -138 = -5*s + 62. Let m = -707 + 712. Calculate the least common multiple of m and s.
40
Let s = 4465/2912 + -3/1456. Find the common denominator of s and 81/184.
736
What is the lowest common multiple of 48 and 324/(((-22)/(-10) - 3)/((-104)/195))?
432
Let y = -1296 + 1303. What is the least common multiple of y and 1696?
11872
Let v = 2677 + -2608. Calculate the smallest common multiple of -3 - (-7)/((-28)/(-276)) and v.
1518
Let b = 45 - 42. Let q be b + (432/4 - -3). Find the common denominator of -85/2 and 665/q + (-2)/8.
12
Let z(n) = -2*n**2 - 8*n + 17. Let l = -57 + 52. Let d(r) = r**3 - 3*r**2 + 3*r - 20. Calculate the least common multiple of d(4) and z(l).
56
Suppose 3*y - 258 = -4*g, -3*g - 47 = -3*y - 251. Let s = 316 - 280. Calculate the lowest common multiple of g and s.
396
Suppose 3*t + 76774 = 5*m, 6*m - 80*t = -79*t + 92134. What is the lowest common multiple of 4 and m?
15356
Calculate the common denominator of (34 + (-71)/4)*4/(-4318) and 9/7.
30226
Let l = -502966459/780 - -644829. Calculate the common denominator of l and 29/300.
3900
Suppose 0 = 83*o - 114*o + 341. What is the least common multiple of 11384 and o?
125224
Let y = 5/6594 + -3697/527520. What is the common denominator of y and 45/608?
3040
Let i = 3359 + -3355. Let g(m) = m - 3. Let w be g(6). Find the common denominator of 35 and -2 + i/w - 77/(-15).
15
Let r = -4977019/9252804 - -1/70097. Calculate the common denominator of -14 and r.
132
Suppose 1333 = 3*v + 7*l, -4*l + 111 = -3*v + 1499. Calculate the smallest common multiple of 912 and v.
912
Let q = -19533 + 19853. Calculate the smallest common multiple of 384 and q.
1920
Let x = 129296/21 - 6154. What is the common denominator of x and 21199/1309 - 17 - (-12 - -11)?
231
What is the common denominator of (-72)/(-45) - (-14216)/(-10560) and -52/1551?
12408
Let w = -238 - -240. Suppose -4*d = -3*h - 26, 2*d - 4*h = -w + 10. Calculate the smallest common multiple of 19 + -1*(-2 + 1) and d.
40
Let i be 2/(-7) + (-91379)/(-3654). Let v = i + -386/9. Find the common denominator of -47/15 and v.
30
Let f be (841 + -3)*((-91)/(-14))/(-13). Let w = 435 + f. What is the smallest common multiple of w and 4?
16
Calculate the smallest common multiple of 1440 and 21 + -5 - (-2053 + -91).
4320
Calculate the smallest common multiple of 1494 and (-39)/(-15) - (-560864)/1360.
7470
Let p be (-84)/(-90)*(-88347)/(-8). Let t = p - 10310. Calculate the common denominator of t and 97/6 - (1 + -1 - 1).
60
Suppose 3*s - 14 = -388*w + 384*w, -s - 3*w = -3. What is the smallest common multiple of s and 605?
3630
Let l = -9 + 11. Suppose 0 = -g + f + 9, 0 = -3*g - 6*f + f + 43. What is the common denominator of 34/3 and 30/(-45)*(l/g)/(-1)?
33
Let u = 14181/48260 - -39/635. Let r = 4703/12 - 23293/60. Find the common denominator of r and u.
380
Let h(w) = -2*w + 9. Let t be h(0). Suppose -u = 6 - t. Suppose -7*n + 8*n = u. Calculate the smallest common multiple of n and 14.
42
Let j(h) = 2*h**2 + 36*h - 1931. What is the lowest common multiple of 22 and j(24)?
1870
Let d(a) = 12*a - 44. Let r(o) = 2*o**2 + 11*o + 20. Let v be r(-3). Calculate the least common multiple of 12 and d(v).
48
Let h = -89 + 94. Let n be (1 - -1) + 15/h*1. Suppose j - 5*f - 35 = 1, n*j - 2*f = 111. Calculate the least common multiple of j and 27.
189
Let m(x) = -3711*x**3 - 11*x**2 + 15*x + 25. Let d be m(-8). Let j be (1 + d/30)*13/271349. Let y = 6/20873 + j. Find the common denominator of y and 68/9.
90
Let y(z) = 2*z - 11. Calculate the smallest common multiple of 20/(-16) - (5 - 1565/20) and y(16).
504
Suppose -16*b = -17*b + 12. Let l(d) = -3*d + 48. Let f be l(18). Find the common denominator of 1/(b/(-99))*f/53 and 27/10.
530
What is the common denominator of (7/210)/(1/(-5) - 255/(-1241)) and 103/672?
672
Let m = -297497/1503890 - 3/14890. What is the common denominator of -76/909 and m?
909
Calculate the lowest common multiple of (5 + -4 + -23)/(1/(-24)) and 1364.
16368
Let p = -1570/67 - -1817486/77653. Calculate the common denominator of 21/38 and p.
2318
Let v = 9646/3 + -1147792/357. What is the common denominator of 143/84 and v?
1428
Suppose 2 - 47 = -3*r. Let o(w) = -11*w - 83. Let s be o(14). Let j = s + 267. What is the lowest common multiple of j and r?
30
Suppose 51831 + 53833 = 104*x. What is the lowest common multiple of x and 24?
3048
Suppose 31719 - 13063 = 22*k. Calculate the least common multiple of 424 and k.
848
Let n(u) = -u**3 - 26*u**2 + 18*u - 79. Let l be n(-27). Suppose -5*s - 2*v = -l, s - 2*v - 142 = -3*s. Calculate the least common multiple of 51 and s.
102
Let x be (6/(-5))/(15/(-2500)). Suppose 12*y + 32 = x. What is the least common multiple of y and (-4)/8 - (-105)/10?
70
Let f = -163 + 166. Suppose -f*h + 70 = -h. Calculate the lowest common multiple of h and 5.
35
What is the common denominator of -3/278 and (-7496)/444800 - 5/(-250)?
2224
What is the smallest common multiple of (-1380)/345 - ((0 - 102) + -2)*2 and 374?
2244
Suppose -j + 4*j - 432 = 0. Suppose 0 = -6*w - 2*w - j. What is the common denominator of -7/9 and (-155)/w - (-2)/(-3)?
18
Calculate the common denominator of -12*5/((-1320)/(-81)) and -16 + 10 + 807/84.
308
Let s = -1498 - -8957/6. Let i be (-3 - (-496)/(-4))*-2. Calculate the common denominator of 9/((-189)/6) + i/105 and s.
30
Let b be 76/(-342)*42439/2782. Let s = b + 3/2782. Let k = -7398 + 162711/22. Find the common denominator of s and k.
198
Let u(c) = 47*c - 8. Let p be u(3). Let s = p + -132. What is the common denominator of s - (-5)/(100/(-3)) and 11/32?
160
Let z = 84901/194 + -875/2. What is the common denominator of z and -25/73?
7081
Let d be (-77258)/(-8) - 2/8. Let o = d - 946401/98. Calculate the common denominator of -97/4 and o.
196
Let o = -27035089/1230 - -65939/3. What is the common denominator of o and -105/44?
9020
What is the common denominator of (-9312)/512*(-2)/636 and -22/371?
11872
Let b(l) = -l**3 - 17*l**2 - 32*l - 21. Let o = -131 + 116. What is the smallest common multiple of b(o) and 72?
72
Let g = -12477018/183003695 - 4/168667. What is the common denominator of g and 11/245?
7595
Let h(g) = 2*g**2 + 3*g + 1. Let v(m) = -2*m**2 - 38*m + 9246. What is the least common multiple of h(-4) and v(59)?
42
Let q be (39/8)/((-18)/(-37844)). Let c = -10259 + q. Find the common denominator of c and 133/(-5)*(3 + (-202)/64) - 6.
96
Let t = 30635 - 3308677/108. Find the common denominator of -45/34 and t.
1836
Suppose -5*u = 5*v + 20 - 115, 2*v - 2*u = 58. Let w(x) = x**2 - 25*x + 60. What is the least common multiple of w(v) and 32?
288
Let s(f) = f**3 - 12*f**2 - 3*f + 22. Let w be s(13). Suppose 151*n = w*n - 8. Calculate the smallest common multiple of n and 41.
328
Suppose 29*g - 9*g = 60. Suppose i - 181 = 5*m + 42, 5*i - 1137 = g*m. Calculate the smallest common multiple of 20 and i.
1140
Let m = -326291 + 185985959/570. Calculate the common denominator of m and 63/76.
1140
Let w = -353633/844695 + 5/37542. Calculate the common denominator of w and (-1)/((-8)/59) + -1.
1080
Let d = -44164296261/2695 - -16387492. Let f = d - -111/49. Find the common denominator of f and 5/33.
165
Suppose -8 = -y + 2*t, -754*t + 28 = 2*y - 752*t. Suppose -2*c + 165 = 3*c. Calculate the least common multiple of y and c.
132
Let c = 14533 + -14531. Suppose s + 2*u - 44 = 0, 228 = 5*s + 5*u - 2. Calculate the least common multiple of c and s.
48
Suppose -4*j + 5*r + 99 + 56 = 0, -2*j + r = -67. Let d = 108 - 39. Calculate the lowest common multiple of j and d.
690
Let n be (-2*(-5)/(-30))/((-2)/12). Suppose 376 = 3*t + n*x, -4*x + 123 = t - x. What is the least common multiple of 21 and t?
126
What is the common denominator of 59/66 and ((-376)/144)/((1 - -139)/(-1 + 3))?
13860
Let q = 389 - 335. Suppose -q*o + 61*o = 497. What is the lowest common multiple of 9 and o?
639
Suppose -u = 8*u + 99. What is the common denominator of 2/u + 54*350/18040 and 44/5?
410
Let v = -189758455483/29085656 + 4/3635707. Let x(u) = -261*u**2 + 3*u - 2. Let n be x(5). Let y = n 