Let b = -71629/8946 + x. Find the common denominator of b and -89/108.
108
Let x = 35659 + -33976. What is the lowest common multiple of 1309 and x?
11781
Let n be -1 + 0 + 2*13/2. Let z be 3941/n - 0*3/(-12). Let h = z - 929/3. Find the common denominator of h and -107/6.
12
Let t = 106 - 316. Suppose -15 = 9*l - 14*l, 0 = -y - 5*l + 11. Calculate the common denominator of 111/t - y/(-14) and -9/10.
70
Calculate the common denominator of (-245)/(-340) + (-84)/48 and -141/70.
1190
Let b = -117 - -208. Suppose -196 = 89*k - b*k. What is the lowest common multiple of k and 42?
294
Suppose -7*c = 82 + 128. What is the common denominator of 31/176 and (-93)/c*((-15)/2)/(-5)?
880
Let y = 4 + -1. Suppose 2*l + 3*z - y = 5, 0 = z. Calculate the lowest common multiple of l and -1*4*((-248)/32 - -7).
12
Let h = 46178623/1300 + -35522. Find the common denominator of h and -32.
1300
Let w = 10814 - 10774. What is the least common multiple of 45 and w?
360
What is the smallest common multiple of 10 and 3 + 6958 - (-57 - -47)?
69710
Let s = 36877/128700 + -101/2475. Find the common denominator of s and -17/6.
468
Let g = -1439 - -5797/4. What is the common denominator of g and (-4890)/675 - 2/(-15)?
36
Let k = 88729801/3372 - 105255/4. Calculate the common denominator of -79/562 and k.
1686
Calculate the common denominator of (-34)/192*(-1560)/(-3848) and -99/4.
1184
Find the common denominator of (5/510)/((-20)/8150) - -4 and 109/48.
816
Suppose 17620 - 76444 = 24*m. What is the lowest common multiple of 11 and (m/(-172))/((-1)/(-8))?
1254
Calculate the least common multiple of 1045 and ((-6)/7 - -1) + ((-4577)/(-7) - -11).
7315
Let d be (-5)/3 - 1/3. Suppose -17*u + 28900 = -1564. Find the common denominator of (2 - d)*(-552)/u and -33/10.
280
Let c(m) = 2*m + 44. Let w be c(-20). Suppose w*x - 85 = -5*h, -3*h + 0*h = x - 23. What is the least common multiple of 35 and x?
140
Let p(l) = -2*l**3 - 48*l**2 - 241*l + 45. Suppose 2*t + 3*j + 0*j = 90, 3*j = -4*t + 168. What is the smallest common multiple of t and p(-6)?
195
Let f be 184*(2 - 9/6). Let h = -17051/8328 - -2/347. Calculate the common denominator of h and f/(-15) + 0/12.
120
Let c(t) = 10*t + 7. Let i be c(18). Let g = i + -95. Let p = -82 + g. What is the least common multiple of p and 23?
230
Let c(k) = 254*k - 90. Calculate the lowest common multiple of 231 and c(3).
7392
Suppose 7*v + 4575 = 36*v - 4*v. Calculate the smallest common multiple of v and 12.
732
Let z be 13/(5*(-3)/(-15)). Suppose 5 - z = -4*t. Calculate the smallest common multiple of 9 and t + (-3 - 152)/(-5).
99
Suppose 0 = -4*n - 3*q + 71, q - 6 = -4*n + 71. Suppose 0 = 5*g, g + g = 5*x - 480. What is the least common multiple of n and x?
480
Let k = 307608987/902 - 341030. What is the common denominator of k and 23/88?
3608
Let d be 2 + (-14 - -3) + 0/8. Calculate the common denominator of (-123)/(-72) - (d + 6) and -95/12.
24
Let n = 24 + -30. Let g be 162*-6 - 5/(10/n). Let h = g + 8741/9. What is the common denominator of 181/30 and h?
90
Suppose -340*o + 497 + 1883 = 0. Calculate the lowest common multiple of o and 1178.
8246
Let u = -694 + 630. Let g = u + 65. Let c = 4 - -3. What is the lowest common multiple of c and g?
7
Suppose -67*g = -4641 - 13449. What is the smallest common multiple of g and 432?
2160
Suppose 22*g - 1133 = 6083. Calculate the smallest common multiple of g and 82.
328
Let z = -41149067/2575374 + 5762/361. Calculate the common denominator of z and 101/12.
14268
Let t = -11171/8 - -1390. Let z = -329461/290 + 32920/29. Calculate the common denominator of t and z.
40
Let d = -380144 + 170304417/448. What is the common denominator of 11/28 and d?
448
Suppose -600 = 6*o - 4*o. Calculate the common denominator of -1 + 345/(-36) - -2 and (-335)/o - 4/6.
60
Let q(w) be the third derivative of -w**4/12 - 23*w**3/6 - w**2 - 18. Calculate the least common multiple of 30 and q(-16).
90
Calculate the lowest common multiple of 560 and (-15 - -7)*(-4)/8 + 220.
1120
Let j = 334/525 - 169/840. Calculate the common denominator of 37/60 and j.
600
Suppose -210 = -3*v - t, -3*t - 148 = -2*v - 19. What is the common denominator of (-15)/(-9)*v/(-368) and -47/40?
80
Let h = 577 - 406. Suppose 0 = 3*k + 2*j + 286, 5*j + h = -2*k - 27. Let l = k + 110. What is the lowest common multiple of 12 and l?
48
Suppose -b + 90 = -4*f, 2*f - 4*f + 72 = b. Let x be (-994 + 789)*((-6)/5)/3. Let n = x - b. Calculate the lowest common multiple of n and 4.
4
Let w = 53 + -13. What is the lowest common multiple of 84 and w/140 + (0 - (-40)/7)?
84
Suppose 0 = 13*d + 14 + 51. What is the smallest common multiple of 5 and (276 + -8 + (-20)/d)/1?
1360
Find the common denominator of (6/(-14))/(-3) + 13432/7308 + -2 and -35/9.
261
Let h(x) = 81*x**2 - 6*x + 6. Let v be h(1). Suppose -4*j + 118 = -2*r, -3*j = 4*r - 3*r - v. Calculate the least common multiple of j and 8.
56
Let l(p) = p**3 - 12*p**2 + 15. Let c be l(12). Calculate the common denominator of 33/c*(-14)/21 and 111/40.
120
Let p = 10181/14 + -721. Calculate the common denominator of p and -99/10190.
71330
Let t = 65 + -32. Let u(f) = 4*f**2 + 38*f + 19. Let q be u(-9). Calculate the lowest common multiple of ((-189)/28)/(q/(-4)) and t.
297
Suppose 0 = 4*u + 5*g - 351, -2*u + 203 - 44 = -3*g. Suppose 0 = -5*s - 71 - u. Let o = 36 + s. Calculate the least common multiple of 8 and o.
40
Let y = 7029/1246 - -1/623. Let f(o) = -146*o**2 + 4*o - 21. Let r be f(3). What is the common denominator of (-1)/(-5) - r/(-990) and y?
154
Find the common denominator of (4*(-1261)/52)/(0/1 - 10) and 89/368.
1840
Suppose 61*x = 65*x + f - 1875, 3*x + 10*f = 1434. Calculate the smallest common multiple of x and 312.
936
Suppose 0 = -4*s - a - 243, 4*s - s + 195 = -5*a. Find the common denominator of ((-9)/(-21))/((-22)/35) and (-583)/s - 2/15.
132
What is the lowest common multiple of 7 - (-87)/(-12) - (-5642)/8 and 376?
5640
Let w = 187 - 166. What is the common denominator of ((-296)/18)/(-6 - 196/w) and -1/9?
207
Suppose 5*n - 1233 = -24923. Let g = n + 42596/9. Calculate the common denominator of g and 11367/1620 + -2 + -6 + 2.
180
What is the common denominator of ((-1659)/1449)/((-24)/4) and -18/161?
2898
Suppose 9*t - 14 = -50. Let p be (-1)/((-14)/t + (-8)/2). Suppose -p*s = 4 - 76. Calculate the least common multiple of s and 28.
252
Let q(a) = 4*a**2 + 29*a - 10. Suppose 5*t - 4 = 4*t. Calculate the lowest common multiple of q(-10) and t.
100
Let a = 31 - 28. Let n be -36*a/12*-2. Calculate the least common multiple of 6 and (-8)/16*(0 - n).
18
Suppose 2*v + 3*f - 2 = 0, 0*v + 5 = 5*v - f. Let d be (v + -2)/(2/12). Calculate the least common multiple of 22 and 2 + d + 6 - -4.
66
Let d be 38/88*2*(-95)/(-40). Let i = d - 92/11. Calculate the common denominator of -59/8 and i.
16
Let f(n) be the third derivative of -n**5/60 - 7*n**4/24 + 12*n**3 - 40*n**2. Calculate the lowest common multiple of f(-12) and 30.
60
Let l = -45175627/3375870 - -11466/859. Calculate the common denominator of -89/180 and l.
23580
Find the common denominator of 38/3 and (-112)/504 + (-2768)/(-14994).
2499
Let r be (-123)/(-4)*(3 + (-30275)/95). Let o = -9706 - r. Find the common denominator of -6 - -3 - 366/(-66) and o.
418
Suppose 471 = -119*p + 1423. Let y = 25 + -12. Calculate the lowest common multiple of p and y.
104
Let i(m) = m - 7. Let u(z) = -2*z + 14. Let r(g) = -11*i(g) - 6*u(g). Let l be r(3). Find the common denominator of 55/8 and (51/30)/((-8)/(-20)*l).
16
Let w = 877 - 6093/7. Find the common denominator of (-4)/(-32)*-1*(-70)/13 and w.
364
Suppose -5*t = 2*g - 63, -3*g + t = -g - 93. Let h be (16/(-30) - -1)/(g/281226). Let o = -2986 + h. Calculate the common denominator of o and 6/41.
410
Let f = 1895187/8 - 234649. Let z = 2260 - f. Find the common denominator of (-495)/(-60)*(-3)/(162/28) and z.
72
Suppose 3*f + 30 = s, 79*s + f = 75*s + 16. What is the smallest common multiple of 5802 and s?
5802
Let p = -129/38 - -62857/18544. What is the common denominator of p and -19/3294?
26352
Let p = 26 + -39. Let z be -2 + -1 + 1 + 12 + p. What is the common denominator of ((-118)/48 - 0)/(z/2) and -31/12?
36
Let v = -13469 - -13477. What is the smallest common multiple of 290 and v?
1160
Let w