• 願望がんぼう — desire; aspiration
• 願書がんしょ — written application
• 願ねがい — a wish; request
• 願ねがう — to wish; to hope

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願 combines 頁（head/person）with 原 as the phonetic base. It reflects the idea that wishes and requests arise from one’s heart and mind. The character is common in formal expressions of hope, petitions, and personal aspirations.

彼かれは 願書がんしょを 提出ていしゅつしました。
He submitted a written application.

願いねがいが 叶かなうといいですね。
I hope your wish comes true.