August 7

Beitzah 1:4

If you prepared black doves in the dovecote and found white ones or the opposite they are prohibited. If you prepared two and found three, they are all prohibited. However, if he prepares three and found two, we say that one just left and the two are permitted.

If you prepared them in the nest and found them outside of the nest, as long as there are no other doves around, they are permitted.

Beitzah 1:5

Window shutters in the time of chazal were also used as a table top for merchants to sell things on.

Bais Shammai says that you cannot take out these shutters on Yom Tov as it looks like you are fixing a building. Bais Hillel says you can take it in and out.

Bais Shammai says you cannot use a board that is normally used for chopping, even if it is just to cut meat. Bais Hillel says you can use the board to cut meat.

Bais Shammai says, the skin of a newly slaughtered animal cannot be moved unless there is an olive size piece of meat on it, otherwise it would be muktza. Certainly you cannot put the skin before a tanner to be stepped on, so it should not get ruined. Bais Hillel says it is even permitted to put it before the tanner since otherwise a person might not slaughter and thereby not have what to eat on Yom Tov.

Bais Shammai says you cannot carry out non-foods to the public area from a private area on Yom Tov. Bais Hilel permitted carrying for a purpose on Yom Tov.