There's gold in there!

Number Theory Level 2

You are trying to take out pieces of gold from a treasure chest.

If you remove gold pieces 3 at a time, then 2 pieces are leftover.
If you remove gold pieces 4 at a time, then 3 pieces are leftover.
If you remove gold pieces 5 at a time, then 4 pieces are leftover.

What's the smallest possible number of gold pieces in the chest?

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