This is the 2885th most frequent Russian word.
быстрого
"Быстрого" translates to "fast" or "quick" in English, in the genitive or accusative case.
Here, "быстрого" is used as an adjective in the genitive case, describing "решения".
Он хочет быстрого решения этой проблемы.
He wants a quick resolution to this problem.
In this sentence, "быстрого" describes "ответа," emphasizing the promptness expected.
Мы ждем быстрого ответа от компании.
We are waiting for a quick response from the company.
Here, "быстрого" is in the genitive case as part of the noun phrase indicating the prompt execution.