.
11
Let t(y) = -y**3 - 24*y**2 + 24*y. Let z be t(-25). Let w = -7 + z. Calculate the smallest common multiple of w and ((-9)/5 + 3)/((-1)/(-25)).
90
Let v be -1 + -779 - 4 - -4. Let q = -10657/42 + 764/3. What is the common denominator of q and (-1 + 1/3)*3555/v?
182
Let z = 484 + -322. What is the common denominator of -151/12 and ((-426)/(-28))/(z/21)?
36
Calculate the common denominator of -89/273 and 672/(-616) - (-50)/187.
4641
Let s(b) = b**2 - 20*b + 64. Let d be s(16). Suppose -4*r - 6*m + 583 = -11*m, 5*r - 4*m - 722 = d. Calculate the lowest common multiple of r and 18.
1278
Suppose -552 = -21*a + 17*a. What is the smallest common multiple of 24/(-16) - 0 - (-78)/4 and a?
414
Suppose -q + r + 3 = -0, q + 4*r + 12 = 0. Suppose -10*n + 8 + 32 = q. What is the smallest common multiple of n and 212?
212
Let r(d) = -6*d + 12*d**2 + 1 - 11*d**2 + 3. Let y be r(18). What is the common denominator of 12/(-8) - y/12 and -143/6?
6
Let m = -2237 + 2507. What is the least common multiple of m and 405?
810
Suppose 26 - 2 = 8*o. Suppose -18 = -2*m - m. Let u(p) = p**3 - 6*p**2 + 9. What is the smallest common multiple of o and u(m)?
9
Let f(i) = i**3 - 2*i**2 - 2*i - 2. Let o be f(3). Calculate the smallest common multiple of o/(-2) - (-273)/14 and 280/70 - (-3 + -5)/(-4).
38
What is the common denominator of -25/468 and ((-7)/(-8)*43/(2107/4746))/9?
468
Let f(x) = -1467*x + 5. Let z be f(-1). Let m = 2147 - z. Find the common denominator of ((-2)/(-9))/((-12)/m*3) and 3/122.
366
Let p = 283/238 - 907279/760410. Find the common denominator of 8/3 and p.
3195
Let b = 375919 + -239084375/636. Find the common denominator of -143/24 and b.
1272
Calculate the common denominator of (-170)/(-24650)*75/(-48) and -1/2378.
19024
Let s = 53647/4350 + 1/1450. Find the common denominator of s and -91/9710.
29130
Let i(o) = 2*o. Let r be i(-5). Find the common denominator of -7 + ((-117)/24)/(-1) and (85 + 2)/(r + 8).
8
Suppose -340 = v + 5*w - 7*w, -5*w - 312 = v. What is the common denominator of (((-270)/48)/(-15))/(30/v) and -29/4?
20
Let m = 1903 + -18987/10. Let c = -7609/582 + -9/97. What is the common denominator of m and c?
30
Let m = 25 + -13. Suppose 100*u - 102*u = -2*l - 6, -2*l + 10 = 2*u. Calculate the least common multiple of m and u.
12
Suppose 340*o + 256 = 348*o. Suppose o*r - 428 = 148. Let d = 24 - 4. Calculate the lowest common multiple of r and d.
180
Let y = 73670 + -52011011/706. Let x = y - 16931/54362. What is the common denominator of -26/63 and x?
693
Let h = -422942 + 71054015/168. Let s = h + -33/14. Find the common denominator of -117/56 and s.
168
Suppose 312 = 3*i + 4*f, -137 = -4*i - 4*f + 275. What is the least common multiple of i and 980?
4900
Let t be -6 - (24/(-4))/3. What is the common denominator of (-4)/(-180)*1086/(-4) and (329/(-84))/((-10)/t)?
30
Suppose 0 = -7*o + 4*o + 75. Suppose 7*n - 3*n - r = -29, 5*n - 5*r = -o. What is the common denominator of -113/14 and (2/n)/((-27)/6) + -1?
126
Suppose 5*c = -k + 15, -3*c - 2*k = 2*c - 10. Suppose -5*n + h - 4 = 21, -25 = 5*n + c*h. Find the common denominator of (-1070)/900*n/(-2) and -69/44.
396
Suppose 172 - 1432 = 5*k. Calculate the common denominator of (-1)/(6/(-10)) - (-268)/24 and (-2)/(-7) - 698/k.
18
Let v = 582/13 - 5739/143. Let s(w) = w**3 + 11*w**2 + 17*w - 8. Let o be s(-9). Calculate the common denominator of v and (o/(-3))/((-10)/(-40)).
33
Let v = -5954 + 5973. Find the common denominator of v and 117/950.
950
Let w = -177 - -191. Let l = 17 + -41. What is the smallest common multiple of w and (-14)/(-1) - (-6 - l/6)?
112
Calculate the common denominator of -16 + (-73346)/(-27489)*6 and 5/561.
3927
Let j be 11 + -15 - 5/((-45)/10406). Let f(g) = -1158*g**2 - g. Let z be f(1). Let n = z + j. What is the common denominator of -44/9 and n?
9
Suppose 5*d - h = -72 - 89, -3*h - 111 = 3*d. Calculate the common denominator of -76/63 and ((-3)/d)/(30/(-230)).
693
Suppose p - 100 = -14. Let w be (p/(-6))/(6 - 5). Let z = -24 - w. What is the common denominator of -32/17 and z?
51
Let x = 290104 - 117492028/405. Find the common denominator of x and -47/1539.
7695
Suppose 105 + 627 = 23*h - 533. Calculate the least common multiple of h and 20.
220
Let n = -99 + 111. Suppose -4*t = 3*v - 18, 0*v - 30 = -5*v + 5*t. What is the smallest common multiple of v and n?
12
Let n(q) = -112*q - 7. Let r be n(5). Find the common denominator of 1065/r + 8/28 and (-18 - (-969)/38)/(-16 + -2).
108
Let b = 48/5 + -727/45. Let o be (-1003601)/(-973368) + 6/27. Let d = -18/1229 + o. Calculate the common denominator of b and d.
792
Suppose 7*c - 22 = -29. Let x be (c - 3 - -3)*(-1 - 14). What is the lowest common multiple of 41 and 24/x*(8 + -3)?
328
Let h(z) = -12*z + 54. Let w be h(-23). Find the common denominator of (2 - 1) + 3 + w/(-48) and 65/36.
72
Suppose -32 = -3*s - 2*l, 5*s - 232 = -3*l - 180. What is the lowest common multiple of s and 712?
712
Let t = -14/71 - -2371/142. Let z = -324 - -319. What is the common denominator of t and (-1076)/(-40) + (-2)/5 + z?
2
Let j = -5887/20 - -295. Calculate the common denominator of j and (-54)/((-110)/(-6) - -3).
160
Let z(j) = 18*j + 41. Let p be z(-6). Suppose 3*m + 29 = 233. Let t = m + p. Calculate the smallest common multiple of t and 9.
9
Let o = 58 - 57. Suppose 0 = 5*y - 8 - 42. What is the least common multiple of o and y?
10
Let v be (-9522)/(-12)*(-10)/(-15). Suppose -12*x + 119 = -v. Suppose 0 = -2*t + t + 4*f, -t = -2*f - 4. What is the lowest common multiple of t and x?
216
Let h be (-1521)/(-15) + (-6)/(-10). Suppose 111*c = h*c + 135. Calculate the lowest common multiple of 6 and c.
30
Let c = -1161097675/1392 + 834122. Calculate the common denominator of 89/4872 and c.
9744
Let h be 1/(138/(-34) - -4). Let i = h + 27. Let y = -40 + 64. What is the least common multiple of y and i?
120
Let d = -271660/29 + 9369. Let f = 16909/4 - 4236. Find the common denominator of d and f.
116
Let y(w) = -42*w + 3. Suppose 2*c - 8 = 0, -6 = 3*l - 2*c - c. Let g be y(l). Let f = -29 - g. What is the smallest common multiple of f and 4?
52
Let a(j) = 2*j**3 + 9*j**2 + 21*j + 60. Let v be a(-6). Let z = 178 + v. What is the least common multiple of z and (-17 + -1)*2/(-4)?
36
Let p = 2/5827 - -273795/215599. What is the common denominator of -71/370 and p?
370
Let s = -111 - -115. Let r be ((-8)/(-20))/(2/10). Let m(u) = 2*u + 1. Calculate the least common multiple of m(r) and s.
20
What is the common denominator of 4*(-19)/(-456)*20 - (-211)/(-30) and 4 + -2 + (-30)/8?
20
Suppose -54 = -2*a - 0. Let r = 28 - a. What is the common denominator of -32 and (-567)/(-385) - r/5?
11
Suppose -19 = 4*m + 9. Let s = m + 26. Suppose -5*q = -16*p + 14*p - 50, 0 = 4*q + 4*p - 40. What is the smallest common multiple of s and q?
190
Let s = -4169 + 4183. Let p = 53 + -32. What is the least common multiple of p and s?
42
Find the common denominator of 73/298 and (18/4917)/(140/55).
2086
Let f = 200182833/730 + -274223. Find the common denominator of 53/60 and f.
4380
Let y be (-482)/(-4) - (2/4 - 0). Suppose 3*t = -2*t + 75. What is the smallest common multiple of t and 4 + y/(-28) - (-321)/21?
15
Suppose 252*p - 2*l = 250*p + 48, 4*l + 6 = -p. What is the least common multiple of p and 1 - (2 + -1 - 1)?
18
Let z be 507/26 - 25/10. Find the common denominator of ((2312/16)/z)/((-16)/2) and 11/2.
16
Suppose 3*z = 3*r + 33 - 9, -2*z - 3*r + 26 = 0. Find the common denominator of -59/9 and (z/20*2)/((-24)/71).
72
What is the common denominator of -64/531 and 393/(-649) - ((-144)/(-66))/(-4)?
5841
Calculate the common denominator of -169/126 and (23179793/(-43056))/49 + 11.
23184
Let f = -361 - -315. What is the common denominator of -37/66 and ((-3)/(120/(-266)))/((-69)/f)?
330
Let o = -944 - -2054. Calculate the smallest common multiple of o and 1998.
9990
Find the common denominator of -35/8 and ((-27055)/(-27070) - (1 - 0))/((-57)/(-779)).
21656
Suppose d + 4*r - 47 = 0, -169 = -3*d - 4*r - r. Suppose -5*l + 90 = -3*y, 0 = 5*y - 6*y. Calculate the smallest common multiple of l and d.
126
Let l = -5158 + 6614. What is the lowest common multiple of l and 56?
1456
Let q(p) = -p**3 - 8*p**2 - 72*p + 70. Calculate the smallest common multiple of