Explanation

Unlocks

You start with 3 puzzles unlocked. After 3 hours, and every 6 hours thereafter, you unlock another puzzle. Solving a normal puzzle unlocks another puzzle (so it's equivalent to waiting 6 hours). Solving a metapuzzle acts like half of a puzzle unlock (so it's equivalent to waiting 3 hours).
Metapuzzles unlock differently. They unlock once you have both unlocked all the puzzles going into the metapuzzle and solved at least all but 2 of those puzzles. (Since metapuzzles unlock differently, they're only counted as half of a puzzle unlock as described above to avoid too many puzzles being open at once too quickly.)

Guesses

Once you unlock a puzzle, you have 5 guesses on it. Guessing an answer uses a guess. You get another guess every 30 minutes. If you don't have any guesses on a puzzle, you need to wait to guess an answer to it until you get another guess.
Guesses are per-puzzle; there's no way to transfer guesses on one puzzle to another. Metapuzzle guesses work just like regular puzzle guesses.
Go back to the list of puzzles.
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