The Question and Answer section for Mythology is a great resource to ask questions, find answers, and discuss the novel.
First Labor: King Eurystheus required Hercules to bring him the skin of the lion terrorizing the area around Nemea. Hercules had to use his wits to track and devise a method by which to kill the lion. The lion was invulnerable to arrows.
What particular myth are you referring to?
Theseus killed every bandit on his way to Athens. Theseus believed this was payback for all th harm they caused others.