Complex sentence: The longstanding popularity of chess has paved the way for a rich tradition of such chess-related puzzles and composed problems, which assume a familiarity with the pieces and rules of chess, but can set different objectives than a standard game.
Split into simpler sentences: The longstanding popularity of chess has paved the way for a rich tradition of chess-related puzzles and composed problems. These puzzles assume a familiarity with the pieces and rules of chess, but they can set different objectives than a standard game.