
7440
Let s = 1720/19 + -26361/304. What is the common denominator of s and 97/866?
6928
Suppose n + 4*k - 4 = -4*n, 8 = -2*n - 4*k. Calculate the least common multiple of n + (3 + -7 - -2) and -3*(-6)/(-27)*-219.
146
Let b = -21/3125 + 281359/481250. Find the common denominator of -51/140 and b.
1540
Suppose -54 + 14 = 10*o. Find the common denominator of (-29)/(-140) - 4/10 and 3 + (o - -5) - (-21)/(-140).
140
Let x = -10347779/7386 + 1401. Calculate the common denominator of x and 143/18.
22158
Let a(k) = -k**3 - k**2 - 7*k - 20. Let f be a(-6). Suppose -2*q + 6*q = -5*y + f, 3*y = -5*q + 246. Calculate the least common multiple of 56 and q.
336
Let c = 64 + -58. Let s = 3863 - 42530/11. What is the common denominator of s and ((-2)/(-4))/(c + (-253)/42)?
11
Let c = -52469229/970 + 54092. Calculate the common denominator of -75/2 and c.
970
Calculate the common denominator of -25/4 and 4/(-2) - (-3556)/1664.
416
Let n = 19 - 16. Suppose n*m = j - 10, j = 3*m + m + 12. Calculate the least common multiple of j and (-20)/6*(-4 - -1).
20
Let t = 44026059 + -101083838895/2296. Let h = t - -110/41. Calculate the common denominator of h and 13/8.
56
Let l(p) = -22*p**2 + 157*p + 12. What is the lowest common multiple of l(6) and 810?
810
Calculate the common denominator of -35/44 and -1 - 1 - -2*(35/(-924))/5.
132
Suppose 0 = -64*k + 44899 - 4579. What is the lowest common multiple of k and 126?
630
Let y = 121706183/1104 + -110241. Find the common denominator of 13/80 and y.
5520
Suppose 4*b + 1174 = 3*v - b, -4*v + 3*b + 1547 = 0. Let s = v + -380. Calculate the lowest common multiple of 28 and s.
84
Let q be (-2 + -1 - 1)*(-165)/(-6). Let g be (1/(-3))/((q/(-4))/(-5)). Let m = -887/66 - g. Find the common denominator of -39/8 and m.
8
Let a(i) = 2*i**2 + 39*i - 16. Let c be a(-20). Suppose 9 = c*w - 7. Suppose 2*z - 10 = -0. What is the smallest common multiple of z and w?
20
Let k = 26/109 - 16947/71504. Let m = 6913/16400 - k. What is the common denominator of m and 8/(-2) - (-32 - (-954)/36)?
50
Suppose 0 = -11*l + 58*l - 36034 - 92276. What is the smallest common multiple of 5 and l?
2730
Let t be (-3)/(-6)*(-6 + 12). Suppose -t*r + 7 = r - l, 2*r = 5*l - 1. Calculate the least common multiple of 249 and r.
498
Let p = 81007/20 + -8113/2. Calculate the common denominator of 79/24 and p.
120
Suppose 3*u = 4*p + 18, 3*u + p = -4*p - 9. Suppose -z - u = -4. What is the common denominator of 3983/19712*2 - z/(-11) and 103/18?
1152
Let a = -14615629 - -3887764925/266. Let k = -15/133 + a. Find the common denominator of k and 1/214.
214
Suppose 6*j - j - 45 = 0. Suppose 2*y = -3*v - 8 - j, 6 = -2*v. Calculate the least common multiple of -4*(0 + 9/y) and 5.
45
Calculate the common denominator of 7/1539 and (-78)/2*(-1232)/(-474012).
1539
Let h = 17986 + -17926. What is the lowest common multiple of 2400 and h?
2400
Suppose -2497 = v - 5*s - 11912, -2*v - 5*s = -18755. What is the smallest common multiple of v and 8?
37560
Let m(f) = 1. Let a(g) = -g**3 + 2*g**2 + 3*g - 8. Let t(w) = a(w) + 4*m(w). Calculate the least common multiple of 2 and t(-2).
6
Calculate the smallest common multiple of 52118/483 - 2/(-21) and 48.
432
Let m(z) = 4*z**3 - 3*z**2 - 1. Let b be m(4). Let w be b/2 - 29/(-58). Let s = w + -93. Calculate the least common multiple of s and 4.
44
Suppose 406 = 4*v - t, -506 = -v - 4*v + 2*t. Suppose 5*d = 2*u - 252, 5*u - 5*d - 513 = v. Calculate the smallest common multiple of 132 and u.
1452
Suppose 15*n - 907 = 803. Suppose 5*c = -3*t - 21 + n, 0 = 5*c - 4*t - 121. Calculate the smallest common multiple of 105 and c.
105
Suppose -3*k - 3*l = -42, -3*k - 2*l + 0 = -37. Let i = 1368 - 1068. What is the smallest common multiple of i and 3*39/k + -3?
300
Let d = 36 - 217/6. Suppose -51*b + v = -55*b + 717, 4*b - 732 = -4*v. Let h = -1619/9 + b. What is the common denominator of h and d?
18
Let g be (-1167*1/(-3))/(10 - 9). Let r = -385 + g. Calculate the smallest common multiple of 5 and r.
20
Let g be 3*(-8)/12 + 6. Suppose -6*h = g*h - 160. Let n = -6 + h. What is the lowest common multiple of 20 and n?
20
Let o(y) be the second derivative of y**4/12 - 5*y**3/3 + 19*y**2 - 58*y. Calculate the smallest common multiple of 4 and o(24).
748
Suppose 1 = -u - 3*o, 7*u - 6 = 2*u - 4*o. Suppose u*j - 3*d - 2*d - 129 = 0, -270 = -5*j - 5*d. Calculate the lowest common multiple of 1 and j.
57
Let j(b) = -2*b**2 - 14*b - 2. Let z(u) = -u**2 - 1. Suppose -4*h = 26 - 10. Let n(m) = h*z(m) + j(m). What is the lowest common multiple of n(8) and 64?
576
Let z(n) = 3*n - 23. Let m be z(8). Let d(x) = 68*x - 2. Let g be d(m). Calculate the common denominator of (-82)/g + 1 + (-13)/11 and -2/33.
33
Let k = -6 + 0. Let u = k + 12. Suppose -206*q + 202*q + 8 = 0, -4*q + 80 = 8*b. What is the lowest common multiple of u and b?
18
Let t = -5662 - -67807/12. Let j = 88 + -87. Calculate the common denominator of j/(-2)*(-1739)/(-329) and t.
84
Let y be ((-1842)/6 - -5)/(4/18). Find the common denominator of (-9)/972*y/(-6) and 89/30.
360
Let w = 2497 + 517. What is the smallest common multiple of w and 548?
6028
Calculate the least common multiple of -8 + 181 - (14 - 5) and 8.
328
Let x = -469523 + 469529. Let r(t) = 5*t**2 + 6*t + 6. Calculate the smallest common multiple of r(-6) and x.
150
Let t be (-11 - -1)*(-3)/((-15)/88). Let z = -174 - t. What is the smallest common multiple of z and 5?
10
Let y be (8/(-2))/((-2)/(-27)). Let u be 13*(15 + (1 - 1)). Calculate the common denominator of 47/2 and (-2 + 4)/2 - u/y.
18
Suppose 4*n = -3*o + 916, -2*n = -2*o - o + 910. Let u = -298 + o. Let z(j) = 2*j**2 + 5*j + 3. What is the smallest common multiple of u and z(-3)?
6
What is the common denominator of 470/(-48)*101/2525 and 29/1770?
7080
Let r(x) = x**2 - 9*x + 9. Let l be r(8). Let s be 1/(-2)*l + (-165505)/(-11). Let q = 15048 - s. What is the common denominator of 73/10 and q?
110
What is the common denominator of -69/770 and (-201)/330 + (-8)/(4 + -12)?
770
Let d(z) = z + 20. Let c(g) = -8*g**2 - 47*g - 16. Let a be c(-5). What is the lowest common multiple of d(a) and 27?
351
Suppose -6*v = -2*v - 2*g + 30, -5*g = 5*v + 75. Let t = 70 + -72. What is the common denominator of (t/v)/((-24)/630) and 17/18?
36
Suppose 232*r - 720 = 236*r. Let u = -158 - r. Calculate the least common multiple of u and 42.
462
Suppose 18*h - 77 = 49. Let j(u) = -u - 3*u + 5 + 2*u + 3*u. What is the smallest common multiple of j(5) and h?
70
Suppose 20*r + 8 = 21*r - k, 4*r = -4*k. What is the smallest common multiple of 40 and (2/r)/(12/(-6336)*-11)?
120
Let m = -34705/234 + 1988/13. Suppose 2 = -4*n - 5*t, -4*t + 5*t = -n. What is the common denominator of m and 18/4 + -4 + n/11?
198
Let x = -7057/10764 + 5/299. What is the common denominator of x and (-2)/(-16) + ((-46971)/(-504))/(-17)?
252
Suppose -5*m = 3*q - 40, m + 38*q - 15 = 36*q. Suppose 2*j = -i + 3*i - 8, -m*i + 52 = 3*j. What is the lowest common multiple of 20 and i?
40
Let o = 151 + -152. Calculate the common denominator of 17/8 and (o - (-358)/80)*(-12)/9.
120
Calculate the common denominator of 477/324 - (-60)/135 and -77/186.
372
Let s = -339179904404/2779 - -122051071. Let g be (4/1985)/(6/(-75)). Let f = g + s. What is the common denominator of f and 1/5?
35
Let g = -3553733/1612602 + 2/89589. Calculate the common denominator of (5/(-2))/((-6)/23) and g.
108
Suppose -3*x - x + 42 = o, -3*o = -x + 17. Suppose -2*v + 18 = -5*h, v + 2*h - 7 = x. What is the least common multiple of 222 and v?
1554
Let l be ((-34)/(-10))/(2/(-340)*-2). Suppose 5*c + 3*n = 501, 3*c + l = 6*c - 4*n. Calculate the least common multiple of 6 and c.
198
Let l(x) = 27*x + 130. Let u be l(18). Let p = -576 + u. Calculate the least common multiple of p and 50.
200
Let o(f) = 125*f**2 - 38*f - 1. Let t(m) = m + 10. Calculate the lowest common multiple of o(1) and t(-6).
172
Let h be (20/(-50))/((-4)/280). Let d = -44 - -30. What is the lowest common multiple of (-284)/d + (-8)/h and 10?
20
Suppose 35277 = 118*y - 30921. Calculate the least common multiple of 306 and y.
3366
Let p = 15404 - 15400. Calculate the lowest common multiple of p and 1536.
1536
Let h(q) = -q**2 + 8*q + 9. Let y = -141 - -153. Suppose -x - 4*f = -24, 0 =