/166 + 1573/415. Suppose -6 = -k + 4*x, 2*k - 4*k - 3*x - 21 = 0. What is the common denominator of i and (-741)/120 - ((-208)/(-40) + k)?
40
Let l(t) = -23*t + 13. Let m be l(-7). Suppose 4*z = 5 + 39. What is the least common multiple of z and (-28)/(-42) + m/9?
220
Let s = 1/107335 + 10840437/42719330. What is the common denominator of s and -97/8?
1592
Suppose a - 2*h = 6, 5*h + 45 = 6*a - a. What is the smallest common multiple of a and 276?
276
Calculate the common denominator of -52 - -69 - (-136)/16 and 1*-1 - (-192)/166.
166
Let c be (6 - -5)*(2 - 1). Suppose 10*k = 12*k - 24. What is the smallest common multiple of c + -4 - -4 - -1 and k?
12
Suppose 5*y - 65*l = -60*l - 118635, -y - 5*l = 23727. Let m = -474639/20 - y. Let b = 224921/20 + -11250. What is the common denominator of b and m?
20
Let b(j) be the third derivative of 22*j**2 + 0 - 1/20*j**5 + 0*j + 1/8*j**4 - 2/3*j**3 + 1/60*j**6. What is the least common multiple of b(2) and 120?
120
Let o(w) = -w**2 - 6*w - 7. Let q be o(-7). Let k = -16 + q. What is the common denominator of 55/6 and ((-216)/k)/(3/(-2))?
30
Let h(n) = 786*n**3 - 2*n**2 + 11*n - 10. Let t be h(1). Let f = 813 - t. What is the least common multiple of 8 and f?
56
Let a be 1614/16 - 6/(-48). Let p = a + -149. Find the common denominator of -43 and ((-4)/p)/(6/(-171)).
8
Let o(y) be the third derivative of y**4/6 + 119*y**3/6 + 2*y**2 - 59. Suppose 0*n - 66 = -2*n. Calculate the lowest common multiple of o(-29) and n.
33
Let k = 490 - 178. Calculate the lowest common multiple of k and 260.
1560
Let a = 265 + -341. Calculate the common denominator of -73/14 and 42/40 + (-19)/a.
70
Let b = 3911/3 + -363763/279. Let r = -8437/1116 - b. Calculate the common denominator of -21/8 and r.
24
Suppose -2*w + 209 = -1359. Calculate the common denominator of w/108 - 2 - 4 and 125/(-100) + (-93)/144.
432
Let f be 3*(3*(-7)/(-9) - 0). Suppose -v + f*v - 6 = 0. What is the smallest common multiple of v and 9?
9
Let s = 43343 - 218397/5. Let a = s - -335. Find the common denominator of a and 107/30.
30
Let w be (-8)/28 + (-573)/(-21) + -3. Suppose -77*j + 71*j + w = 0. Let b(p) = 3*p**2 + p + 2. What is the least common multiple of j and b(2)?
16
Let m = 112 - 108. Suppose 9022 = -2*l - 2*t, -l = m*t + 997 + 3514. Let o = -135187/30 - l. Calculate the common denominator of o and -4/9.
90
Let u = -374 + 379. Calculate the common denominator of ((-91)/(-4))/(0 + 1) and u + ((-1254)/60 - -5).
20
Suppose 21 = 2*w - 2*s - 23, w - 52 = -5*s. What is the smallest common multiple of 2106 and w?
2106
Let q = -42 - -46. Suppose 2*f = 4*f + q, -j + 10 = -2*f. Suppose 0*o = -5*o + 105. Calculate the smallest common multiple of j and o.
42
Let h = 79504/1495 - 1498/115. Let m = h + -3699/130. What is the common denominator of m and (-1084)/(-48) + 2/3?
20
Let p = -47 + 292. Calculate the common denominator of 3 - 13/(624/p) and 145/36.
144
Let a(q) = -q**2 + 148. What is the lowest common multiple of a(-8) and 48?
336
Let k be 4/((-4)/3) + (-23416)/(-2). Let u = -280831/24 + k. What is the common denominator of (-1)/4 + (23 - 6) and u?
24
Let l = 897038797/3219 + -278670. Calculate the common denominator of 43/6 and l.
6438
Calculate the common denominator of 35 and (-832013)/4405401 + ((-93)/33 - -3).
4401
Let h = 12168/9559 + -2/9559. What is the common denominator of -7/443 and h?
4873
Let q = 271 - 165. Suppose 9*s = 29 + q. What is the lowest common multiple of 15 and s?
15
Let w be 7327/(1239/1106 - 9/6). Let f = w + 19292. Find the common denominator of 1/36 and f.
180
Let j be 563385/100 - (-6 - -1). Let a = j + -5637. Let g = -10765/3916 - 1/979. Calculate the common denominator of a and g.
20
Let q be -4 + (27 - 1) - -4. Let t be (-2)/2*(-2 + q). Let u = t - -33. Calculate the least common multiple of u and 9.
9
Let c = 5947/10 + -596. Let h = 38994 + -151203/4. Let i = h - 1208. Find the common denominator of i and c.
20
Let a be (6/15)/((-9)/(-90)). Suppose -r = a*t - 0*t - 23, -4*t + 4*r + 48 = 0. Calculate the least common multiple of t and (-1)/(1/(-3) - 0).
21
Let k(r) = -11*r**3 - r**2 + r + 1. Let q = 2 + -3. Suppose 10*m = -46*m + 2128. Calculate the smallest common multiple of k(q) and m.
190
Let z = -107963099/64296 + 63809/38. Calculate the common denominator of -71/3008 and z.
27072
Calculate the common denominator of -47 and -4*1/(-1) - (11 + (-53994)/7656).
1276
Let y be 6/10 + (-2232)/(-30). Suppose 0*b = 3*b - y. Suppose -q = a + q - 15, -4*q - b = -3*a. What is the smallest common multiple of a and 7?
77
Let v(w) = -w**2 - 10*w - 12. Let i be v(-10). Let g be (i/(-8) - 2)/(4/(-104)). Suppose -72 - 110 = -g*k. Calculate the smallest common multiple of k and 166.
1162
Let x(v) = -21*v + 11. Suppose -13 = -2*m + 5*a, a = 5*a + 20. Calculate the smallest common multiple of 3/m + (-29)/(-2) and x(-3).
518
Let d = -153 + 164. What is the smallest common multiple of d and 14/(-3) - -4 - (-28)/6?
44
Suppose 465 = 3*h - 3*o, 5*h + o - 4*o - 765 = 0. Let z = -511/3 + h. What is the common denominator of z and (1 + 8)/(11*-1)?
33
Suppose 377*j - 431*j = -61043 + 12929. Calculate the lowest common multiple of j and 3.
891
Let x = -37163/72157095 + -3/23239. What is the common denominator of -91/1725 and x?
15525
Suppose 0 = -2*l - 56 + 38. Suppose -4*d = 2 - 10. What is the lowest common multiple of -5*(-36)/(-135)*l/4 and d?
6
Suppose 10 = 2*n + 3*r, 180 - 174 = 4*n - r. Calculate the smallest common multiple of n and 86.
86
Suppose 300 = -12*m + 2*m. Calculate the common denominator of 179/30 and (-313)/m + 72/(-12).
30
Let n = -8433 + 168711/20. Let z = -346 - -496. Find the common denominator of 10/(-6)*z/20 and n.
20
Suppose 156*b - 239947 + 62107 = 0. What is the smallest common multiple of b and 30?
1140
Let y = 149 - 160. Let r = -2/64427 + -3800989/6571554. Calculate the common denominator of r and 159/22 - (y + 16).
1122
Suppose 52*t = 38*t + 21826. Suppose 5*a = 1594 - t. What is the least common multiple of a and 171?
1197
Suppose 96 = 3*m + 2*s, 3*m + 5*s - 67 = 11. What is the lowest common multiple of m and 48?
144
Let r(n) = 2*n**3 + 9*n**2 + 4*n + 3. Let b be r(-4). What is the common denominator of (10/60)/(b/132*1) and 31/3?
3
Let w = -705 - -355. What is the common denominator of (-441)/12*(-60)/w and -101/148?
740
Let n = -23467 - -774425/33. What is the common denominator of (44/(-40))/((-162)/(-165)) and n?
1188
Let j(b) = b**3 + 65*b**2 + 148*b - 142. Calculate the least common multiple of j(-58) and 6.
44466
Let j = 545941/156 + -21005/6. Calculate the common denominator of 33/1054 and j.
27404
Let l = -3128121/20867 + 264499377767/1740474736. Let y = 2/5213 + l. Calculate the common denominator of -27/4 and y.
16
Suppose -5*u - 2*b = -265, 4*u - 5*b - 364 = -119. Let a = -70 + u. What is the common denominator of -28/3 and 27/a - ((-8)/2 - -1)?
15
Let w = 2735/4 - 689. Let g be (-50)/(-12)*(-216803)/(-30)*1. Let t = g + -30114. Calculate the common denominator of w and t.
36
Suppose 0 = -2*p - 2*o - 24, -p - 24 = 3*p - 4*o. Let q = 109198 - 11356695/104. What is the common denominator of (-426)/p*(-72)/(-768) and q?
208
Let v = 6985 - 5245. What is the smallest common multiple of 40 and v?
3480
Let m(i) = -i + 1. Let c(g) = -2*g**2 + 35*g + 19. Let p(v) = -c(v) - 2*m(v). Let l be p(17). Let b = 7 - l. What is the smallest common multiple of b and 2?
22
Let q(g) = 7*g**3 - 3*g**2 + 9*g + 11. Let o be q(5). Let l = -253369/18 - -14082. What is the common denominator of ((-219)/(-584))/((-42)/o) and l?
126
Let w = 2940 + -47065/16. Calculate the common denominator of w and 37/252.
1008
Let f = -3469 + 3499. What is the lowest common multiple of f and 234?
1170
Suppose 5*n - 40 = -4*z, 5*z - 6*n + 9*n = 37. Calculate the common denominator of -73/2 and (z - 520/96)/((-7)/(-45)).
28
Let d = 6057 - 1937. Suppose -t = -5*z - 6*t + 10, -2*z + t + 10 = 0. Calculate the least common multiple of d/90 + z/18 and 22.
506
Let k = 2/16433 - -476387/1396805. Find the common denominator of (-84)/(-165)*3/(-6) and k.
935
Suppose 2*q + 129 = -3*t - 16, -4*t + 180 = -2*q. Calculate the common denominator of (-493)/q - (-7)/(-700)*10 and (-2)/(-6)*(-327)/(-20).
80
What is the common denominator of 11/8302 and (