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Асанова родилась 24 октября 1942 во Фрунзе. После окончания школы Динара в 1960—1962 годах работала на киностудии «Киргизфильм», снялась в фильмах «Девушка из Тянь-Шаня», «У каждого 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уходили кумиры. Динара Асанова. Как уходили кумиры. 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