What is the alternative word for hint?

Could you possibly enlighten me on what other term might be used in place of the word 'hint'? I'm seeking a synonym that accurately conveys the essence of offering a subtle suggestion or clue without directly stating the answer. Perhaps there's a word that encapsulates the idea of giving a gentle nudge in the right direction, or an indirect reference that points towards a solution without being overly obvious. I'm intrigued to learn about the alternatives that exist within the English language to describe this concept.