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request; favor; favour
reliance; dependence; trust; hope
「頼み」 has another reading with different meanings.
友達に宿題を手伝ってもらう頼みをしました。
I got my friend to help me with my homework.
母からの頼みを断ることができません。
I can't refuse my mother's request.
大切な頼みがあるので、時間をください。
I have an important favor to ask, so please give me some time.