✂️Pluck, don't shear
A firstborn animal may not be shorn. But to slaughter a blemished firstborn, Rav lets you clear hair from its neck, because plucking by hand isn't the normal way of shearing. Reish Lakish adds: use your hands, not a tool.
🤔Did you mean to do it?
Rabbi Shimon says an act you didn't intend is permitted; Rabbi Yehuda forbids it. Abaye and Rava agree on one thing: if the forbidden result is sure to happen ("cut off its head and won't it die?"), it's forbidden.
🐄The red heifer's black tips
Two black hairs make a red heifer unfit. If the hairs are red at the root and black at the tip, Rabbi Yosei ben HaMeshullam says: snip the tips with scissors. The Gemara explains it's allowed because a red heifer is so rare.
🧶Wool that fell off
Wool fell off a blemished firstborn and was saved in a box. Akavya ben Mahalalel permits it; the Rabbis forbid it, so the owner won't delay slaughtering the animal just to collect wool.
🔍Let it be investigated
Blemished animals got mixed into a flock. Rabbi Yosei says: "Let the matter be investigated." The Gemara compares it to a field with a lost grave: Rabbi Yehuda HaNasi says "the grave that was lost is the grave that was found."