3/8. Let y = -6874 - f. Calculate the common denominator of u and y.
216
Let f(w) be the first derivative of w**4/4 + w**3 - w**2/2 - 10*w + 9. Let j be f(-3). Calculate the common denominator of -73/6 and ((-1)/(-3))/(j/(1505/25)).
30
Let v be 2874*(-2 + 4)/(-2). Let y be 16239/48*4/v. Let i = 6/479 + y. Find the common denominator of i and 103/18.
72
Let g = 3/13945 + 966151/46478685. What is the common denominator of -10/11 and g?
3333
Suppose 55*p - 1815 = -907 + 1732. Calculate the smallest common multiple of p and 2960.
8880
Let n = 29469/14 - 2101. Let w be ((-219)/(-30))/(15/25). Let q = 50/3 - w. Calculate the common denominator of q and n.
14
Let d(y) = -y**2 + 6. Let u(t) = -t**2 - 2*t + 3. Let h be u(-3). What is the lowest common multiple of 45/(-21)*8400/(-1000) and d(h)?
18
Let n be (-1)/4 + 57585/84. Suppose -2*b - 1373 = 3*w, -2*w = 4*b - w + 2721. Let d = n + b. Calculate the common denominator of d and -107/6.
42
Let u = 30304/11847 - 48/359. Let w = -5 - -39. Calculate the common denominator of -2 - (-2 + w/(-30)) and u.
165
Let p = -267226 + 382400350/1431. What is the common denominator of 91/108 and p?
5724
Let x = -23078 + 923033/40. Calculate the common denominator of (105/(-882))/((-90)/1407) and x.
360
Let z(s) = 1 + 8*s + 199*s**2 - 198*s**2 + 19. Calculate the least common multiple of 55 and z(-8).
220
Let x be 184/(-14)*35/(-10). Suppose n + 5*r + 92 = -3*n, 3*n + x = 2*r. Let t = -75/4 - n. Calculate the common denominator of t and -149/18.
36
Suppose 96 = -6*u - 0*u. Calculate the common denominator of (-16)/12 - 44/u and 3/4*134/6.
12
Let c = -2261/2 + 1170. What is the common denominator of ((-3201)/198)/(1924/78) and c?
148
Let k = -4113 - -4124. What is the least common multiple of k and 1141?
12551
Let m(l) = 68*l**2 + 179*l - 2. Calculate the lowest common multiple of 438 and m(-3).
438
Let p be (2 - 345/84)/(21/(-15330)). Let q = 1539 - p. Calculate the common denominator of q and 19/18.
126
Calculate the lowest common multiple of 125 and (-9 - -13 - -4 - (-40)/(-6))*150.
1000
Suppose -8*w + 3*w + 7558 = 8*j, 0 = w - 2*j - 1490. Calculate the smallest common multiple of 10 and w.
7510
Let t = 43/2 + -151/8. Let k = -1/4540119 - 737003389/42050582178. Let w = k - -1/421. Find the common denominator of w and t.
264
Let u be (245/10)/7*4/1. Suppose -u = -s - 2*v, -2*v - 29 - 5 = -2*s. Calculate the least common multiple of s and 134.
1072
Suppose 3*a + 4*g = -2353, -2*a - 1564 = 26*g - 21*g. Let m = a + 1527/2. Calculate the common denominator of -81/2 and m.
2
What is the least common multiple of (275 - -9) + (3 - 14) and 99?
9009
Suppose 4*p = l - 4, 0 = 4*l - 5*p + 8*p - 16. Suppose -q + 633 = l*x, -4*x - 3*q - 2*q = -637. What is the lowest common multiple of 11 and x?
1738
Let t(g) = -g**3 - 4*g**2 + 3*g + 165. Suppose 0 = -177*n + 180*n. What is the least common multiple of 50 and t(n)?
1650
Let g = 117/10969 - 213820706/186473. Let s = -1147 - g. Find the common denominator of -47/9 and s.
153
Let j(c) = c**3 + 12*c**2 - 7*c - 42. Let b be j(-13). Let y = -118 - b. What is the least common multiple of y and 14?
14
Suppose 108*n - 105*n + 3*a - 2592 = 0, 4*n = 5*a + 3456. Suppose 0 = -3*x + 2*i + 10, -3 - 3 = 2*x + 5*i. What is the lowest common multiple of x and n?
864
Suppose 0 = -16*o + 10623 - 63. Calculate the smallest common multiple of o and 120.
1320
Find the common denominator of 5/567 and (-2)/16 - (-106)/80 - (-27160)/(-69300).
6237
Suppose 33 + 87 = 6*f. Suppose -4*i = u - f, 12 = -2*u + 4*u + i. Calculate the least common multiple of 14 and (u/5)/(2/30).
84
Let z(l) = 2*l + 4. Let d(x) = 24*x - 32. Let i(w) = w. Let h(k) = d(k) - 16*i(k). What is the smallest common multiple of z(3) and h(12)?
320
Suppose -25 = 3*w - 13. Let m be (((-8)/30)/w)/(4/11814). Let a = m - 12229/60. Find the common denominator of 61/8 and a.
24
Suppose -p + 4*p = 39. Let x(w) = 4 - 2*w + p*w - 9. Calculate the least common multiple of x(4) and 9.
117
Suppose 0 = 4*r - 52 - 44. Suppose 3*u = 48 - r. Let x(i) = i**2 - 9. Calculate the least common multiple of x(7) and u.
40
Suppose -5*c + 2*c + x - 2829 = 0, 2*c = x - 1887. Find the common denominator of 125/6 and c/60 - (-9 - -4).
30
Let r = -145959/800 + 5819/32. Calculate the common denominator of -97/1200 and r.
1200
What is the common denominator of 43/180 and (255/595 - (-52)/(-7)) + 3507/480?
1440
Let v(l) = -l**3 - 12*l**2 + 133*l + 9. Calculate the least common multiple of (-15 - 2 - 1)/(-2) and v(7).
9
Let g = 1297 - 25847/20. What is the common denominator of 1/1220 and g?
1220
Suppose 0 = -18*t + 18493 + 71219. What is the smallest common multiple of t and 14?
4984
Let s be (-11 - -13) + 0 + 1. Let a be s/((1/(-12))/((-40)/10)). What is the common denominator of 77/30 and ((-4)/a)/((-6)/200)?
270
Let h be ((-162)/36)/((-3)/4). Suppose -2*u - 1898 = 2*b - h*b, 2*u = -10. Calculate the lowest common multiple of b and 14.
3304
Suppose b = g - 5*g + 1670, 5*b = -g + 408. Suppose 0 = -4*r + g - 2. What is the smallest common multiple of r and 24?
312
Let o = 39 + -20. Let i be (-21 + o)/(4/(-30)). Find the common denominator of -73/3 and (-14 + i)/((10/26)/(-1)).
15
Let j(b) = -268*b**2 - 8*b + 32. Let q be j(-14). Let s = q - -8276601/158. Calculate the common denominator of s and 91/10.
790
Let p = -6229453403887/24 + 259510848212. Let r = p - -49700494. Let x = r - -9793. Find the common denominator of 67/10 and x.
120
Suppose 2*l = -2*c + 12, -2*c - 3*l = -3*c + 2. Suppose -13692 = c*w - 1947. Let d = w + 14059/6. Find the common denominator of d and 1/18.
18
Calculate the common denominator of 11/22 + 1/(-6) + (-43)/44 and -33/7.
924
Suppose 0 = 4*u + 2*k - 14, -3*u + 12 = 2*k - k. Suppose 26*d + u*d - 620 = 0. What is the least common multiple of 16 and d?
80
What is the smallest common multiple of ((-2)/(-4))/((-22 + 5)/(-5950)) and 245?
1225
Suppose -3*k = -2*s + 49, 4*k = -5*s + k + 154. Calculate the common denominator of 111720/14040 + 4/26 and s.
9
What is the common denominator of -23/91 and 4 + 2 - (7336/910 - 3)?
455
Suppose -3*s - 8*n + 3*n = 682, 4*n = -5*s - 1115. Calculate the common denominator of 32/9 and (-23)/(-207)*s/11.
99
Let r(b) = 4*b - 7. Let z(q) = q**2 + 18*q + 35. Let x be z(-16). Let g be r(x). Let f = 15 - g. What is the lowest common multiple of 12 and f?
60
Let t be (-182604)/9 + (20/12)/5. Let q = t - -669593/33. What is the common denominator of q and 109/88?
264
Let x = 5249821/78 + -67304. What is the common denominator of x and 95/18?
234
Calculate the least common multiple of 950 and ((-750)/(-240))/((-14)/(-112)).
950
Suppose 8*u - 90 = -2*u. Let c = -37 - -41. Suppose -i = -3*i - c*d + 4, -2 = -i - 4*d. What is the smallest common multiple of i and u?
18
Suppose -1466 = 5*i + 889. Find the common denominator of 3*((-75)/72 + 3) and i/459 - 8/(-6).
1224
Suppose 5*u = 2*u - 10566. Let x = u + 42325/12. Calculate the common denominator of (((-65)/(-2))/(-5) - -4)*(-10043)/3630 and x.
12
Let w be -5 + (0 - -1)*0. Let a(y) = 31*y**2 - 3*y - 7*y**2 - 6 - 11*y**2 - 8*y**2 + y**3. Calculate the least common multiple of a(w) and 15.
45
Let m = 3281283423/121720 + -458280/17. Find the common denominator of 9/2 and m.
7160
Let d = 10079758 - 19474089707/1932. Let u = d + -73/42. What is the common denominator of -61/8 and u?
184
Suppose -n = 18 - 20. Let o = 1/5568 - 65891/16704. Calculate the common denominator of 98/(-20) + (4 - n) and o.
90
Let j(r) = -2*r**2 + 23*r - 13. Let d be j(14). What is the least common multiple of 25 and (-2 + 1 - d) + (-291)/(-97)?
425
Let x(y) = y**3 + 2*y**2 - 3*y + 1. Suppose -4*p = -12 + 4. Let w = 363 - 362. Calculate the lowest common multiple of w and x(p).
11
Let m be (2 + (-7 - -2))/(-1). Suppose m*u = -7 - 20. What is the common denominator of (-141)/u + (-3 - -6) and -45/11?
33
Let j = -2132751461/288431406 + -3683/207654. Let g = j + -15/463. What is the common denominator of g and 83/165?
495
Let v be 9555597302/72799864*15/350. Let f = -1588/771185 - v. Let s = -1/413 - f. Find the common denominator of 39/28 and s.
56
Let x be 3/(-3 + (-24)/(-7)). Suppose 6*j = x*j - 2. Suppose 25*l - 30*l + 13 = -2*w, 4*l - 5*w = 7. What is the least common multiple of l and j?
6
Suppose 110