This is the 892nd most frequent Czech word.
zůstává
"Zůstává" means "remains" or "stays."
Here, 'zůstává' is used in the third person singular present tense to indicate Marie is staying in a specific place for a specific reason.
Marie zůstává v knihovně, aby si dokončila svou práci.
Marie stays in the library to finish her work.
In this sentence, 'zůstává' is used metaphorically to express remaining in a particular emotional state.
I přes všechny problémy zůstává klidná a vyrovnaná.
Despite all the troubles, she remains calm and composed.
Here, 'zůstává' is used to signify the state of continuing to be a topic of discussion.