pose -2*k + 114 = 2*v, -3*v = -6*k + 4*k - 156. Calculate the common denominator of m and ((-1)/(-5))/(-4*v/2580).
54
Let q = -106321 - -850525/8. Let g = 3/599240 + -6402879427/5393160. Let f = g + 1189. What is the common denominator of f and q?
72
What is the common denominator of ((-9)/324*33)/(15/495*9) and (6/(-20))/(36/(-235))?
72
What is the common denominator of -25/42 and 5/(-1) - (-403)/93?
42
Let a(r) = 6*r**3 - 3*r**2 + 2*r. Let y(f) = -463*f - 70779. Calculate the smallest common multiple of y(-153) and a(2).
120
Let t be (-16)/(-9) - 2 - 768761/342. Let z = 6749/3 + t. Find the common denominator of 27/16 and z.
304
Let j = -1060747/1052040 - 1/17534. Find the common denominator of j and -107/720.
720
Let n be ((2 + -1)*-1)/((-62)/124). Suppose 0 = 3*j + a + 48 - 75, -n*a + 22 = 2*j. Calculate the lowest common multiple of j and 254.
1016
Let s be (180/40)/((6942/4)/(-3)). Let f be (-130498)/31239 - (3 + -6). Let g = s + f. What is the common denominator of g and -29/33?
297
Let a(w) = -w**3 - 54*w**2 + 363*w + 355. Calculate the smallest common multiple of a(-60) and 840.
4200
Let f(w) = 9*w**3 + 12*w**2 - 21*w + 6. What is the least common multiple of 22 and f(2)?
924
Suppose 0 = -5*d + j + 14407, 0 = -70*d + 75*d + j - 14393. What is the smallest common multiple of 3960 and d?
31680
What is the common denominator of 61/9 and 1/(-10) + (23331/3330 - 7)?
1665
Let c = 432 + -430. Suppose c*y = -0*y - 2*f - 4, -5*y = -5*f - 40. What is the least common multiple of y and 9?
9
Let t = -3377/560 + 12/35. Let x(q) = 5*q**3 - 5*q**2 - 4*q. Let h be x(-4). Calculate the common denominator of 184/h + (-2)/6 and t.
16
Let g(q) = q**2 - 3*q. Let y be g(4). Let i = y + 16. Suppose 0*a = -a + i. What is the smallest common multiple of a and 20?
20
Let d be 7 + 0/(12 - 6). Calculate the least common multiple of d - (-26 - (-7 + 4)) and 141.
1410
Let p = -27307/10 + 2727. Let l be (-24)/(-30) + (-117)/15. Find the common denominator of p and ((-1)/((-10)/235))/(l/2).
70
Suppose -5371*j + 5346*j + 19275 = 0. What is the least common multiple of j and 21?
5397
Let k = -1019/390 + -69/26. Calculate the common denominator of k and (7/2)/(20/17).
120
Suppose 2*w = 5*u + 43, 22 = 3*w - 2*w - 2*u. Let f = 588 + -510. Suppose 65*v + 273 = f*v. What is the smallest common multiple of w and v?
168
Let y be ((-56)/(-20) + -4)*5*1. Calculate the common denominator of 53/28 and (927/216)/(y/(-4)*-1).
252
Let i(r) = -r**3 + 15*r**2 + 17*r - 13. Suppose -4*q = 4*q - 128. Calculate the smallest common multiple of (-1 + (-116)/12)*(-3)/2 and i(q).
48
Suppose -v = -219 + 3. Calculate the lowest common multiple of 168 and v.
1512
Let c(d) = 20*d + 10. Let q be c(-5). Let v be (2/q)/(44/155947). Let k = v - -397/5. Calculate the common denominator of k and -41/6.
36
Suppose -2*z + 115 - 139 = 0. Calculate the least common multiple of 24 and 158 - (-16)/2*z/48.
312
Let q(z) = z**3 + 174*z - 531. Calculate the lowest common multiple of q(3) and 6294.
18882
Suppose 3*r + 10 = 2*n, -5*n - 12 = 2*r - 56. Calculate the lowest common multiple of 68 and n.
136
Let b = -5 + 35. Suppose 0 = -0*j - 5*j - 5, 28 = 5*t - 3*j. Suppose t = 3*n + 4*k - 4, 5*k = 3*n - 9. Calculate the smallest common multiple of b and n.
30
Let i = 5 + -1. Let w = -7549 + 7555. Calculate the smallest common multiple of w and i.
12
What is the lowest common multiple of 416 and (2 - (1 - -59)/6)*(1 + -14)?
416
Calculate the smallest common multiple of -414*6/((-5)/(125/20)) and 33.
34155
Suppose 23*t = -25*t - 119461 + 406885. Calculate the smallest common multiple of 20 and t.
29940
Let y = -4149 - -112046/27. Calculate the common denominator of y and (-312)/72 - (-54)/(-30).
135
Let y = -8446 - -151973/18. What is the common denominator of y and (-582)/(-594) + (-50)/(-55)?
18
What is the least common multiple of 85 and (1 - (-22)/(-3))*(-754)/580*30?
20995
Let u(v) be the first derivative of -v**4/4 - 7*v**3/3 + 3*v**2 - 8*v + 115. What is the least common multiple of u(-8) and 58?
232
Suppose -4*u + 9*u = 60. What is the lowest common multiple of u and 44/(-198) + -11*5/(-45)?
12
Let q = 13728 - 672627/49. Calculate the common denominator of -113/1596 and q.
11172
Suppose 6*d - 1030 = d. Calculate the common denominator of 4/(-8) + d/12 and 2 + -5 + 172/18.
9
Calculate the common denominator of 55/2 and 5 - (-23)/(-5) - (-2522)/(-5928).
1140
Suppose -u - 782*c = -786*c + 12, -3*u - 2*c + 48 = 0. Calculate the least common multiple of u and 522.
1044
Suppose -5*f - 853 + 83 = 0. Find the common denominator of (-520)/f + 2/(-7) and 12798/324 + 5 + 6/(-2).
22
Let a(g) = 3*g**3 + 4*g**2 - 5*g + 7. Let s(b) = 2*b + 26. Calculate the lowest common multiple of a(3) and s(-8).
1090
Let q be -1*((-553754)/(-40) + -6 + 2). Let c = q - -13837. Calculate the common denominator of c and 151/24.
120
Let d = 455 - 941. Let h = d - -502. What is the lowest common multiple of h and 112?
112
Let i(o) = 2*o**3 + 24*o**2 - 35*o + o**2 + 44*o - 24. Calculate the least common multiple of i(-12) and 9.
36
Let i(g) = -25*g**2 + 5*g + 6. Let d be i(-1). What is the common denominator of -64/21 and (-18)/d + 410/168?
21
Let v = 2542423/31106925 + 2/270495. Find the common denominator of v and -131/920.
4600
Suppose a = -4*o + 10, a - 3 + 19 = 9*o. Calculate the smallest common multiple of 3/((-6)/(-4)) + 9 and o.
22
Let w = 13037762/165 + -79017. What is the common denominator of -31/198 and w?
990
Let q = -17 - 22. Let a = 43 + q. Suppose -a*u - 3 = -91. What is the lowest common multiple of u and 2?
22
Suppose -294*w + 5*n + 604 = -291*w, 0 = -4*w - 2*n + 788. What is the lowest common multiple of 462 and w?
1386
Calculate the common denominator of ((-80)/28)/5*225/264 and -85/462.
462
Suppose -5*p - 5*b = 16 - 311, 2*p - 4*b = 124. Calculate the least common multiple of p and 1/4*(-4 + -2) + 1332/24.
540
Let m = 3309/20 - 165. Suppose -z = -4*u - 6, 2*z + 6*u - 12 = u. Find the common denominator of m and z/9 + (-84)/40.
60
Suppose 2*t = -10, -14*l + 4*t - 3360 = -19*l. Calculate the lowest common multiple of l and 884.
11492
Let i = -223 - -217. Find the common denominator of ((-729)/(-180))/(i/12) and -75/14.
70
Let c = 1702/9 - 1097/6. What is the common denominator of 101/198 and c?
198
Let a = -33 - -35. Suppose 5 = -a*r + 4*r - q, -3*q + 21 = 3*r. Suppose g + 4 = -4*n - 2, 0 = r*g + 3*n - 28. What is the lowest common multiple of 5 and g?
10
Let c(r) = -r**2 - 37*r - 83. Let s be c(-22). Let v = s - 163. Calculate the least common multiple of v and 40.
840
Let d = 1/87180 + -84215891/958980. Let b = -26390/297 - d. Find the common denominator of (39/2)/((-18)/(-14)) and b.
54
Suppose 52096 = -481*h + 569*h. What is the smallest common multiple of h and 148?
592
Suppose 0 = -10*y - 150272 - 24068. Let x = y - -2266449/130. What is the common denominator of -31/120 and x?
1560
Suppose 3*x - 157 = -37. Let j = x + -61. What is the common denominator of -65/16 and j/2*(-6)/216?
48
Let f(a) = -629*a**2 + 19*a + 79. Let p be f(-5). Let c = 409329/26 + p. What is the common denominator of (-14)/(-21)*(-38)/24 and c?
234
Suppose -3431*i = -3402*i - 3596. What is the smallest common multiple of 992 and i?
992
Let k = 2531/474 - 1/158. Let w = -1325 - -2535. What is the common denominator of k and (-9)/(-15) - (-1 + w/(-1400))?
84
Suppose 0 = 4*x + x - 11050 - 11750. Calculate the least common multiple of 8 and x.
4560
Let p = 53 - 54. Let w(h) = -234*h - 4. Let m be w(p). What is the common denominator of -61/10 and -1 + 1 + 75/m?
230
Let x be -10*-4*(3 - 7). What is the common denominator of 97/6 and x/(-7190)*(-25)/10?
4314
Find the common denominator of -11/474 and (5/(9450/(-1743)))/((-4)/(-6)).
4740
Let b be ((-1)/(-1))/(3 + (-144335)/48110). Let g = b + 6422. Let a = 22363/7 + g. Find the common denominator of a and -71/3.
21
Let c = -23161/11720 - -15/293. Calculate the common denominator of c and 59/20.
40
Let w(y) = -2*y**3 + y**2 + 9*y + 24. Let j be w(-4). Suppose 0 = 3*v - v - j. Calculate the smallest common multiple of 12 and v.
132
Let z(f) = -f**2 + 18*f + 146. Let d be z(-6). Suppose 3*v + 2*c = 7*v - 6, -2*c = -d*v. What is the lowest common multiple of 192 and v?
192
Let d(n) = -1311*n - 9157. Le