This is the 1834th most frequent Russian word.
нынешний
"Нынешний" means "current" or "present."
In this sentence, "нынешний" is used as an adjective meaning "current" or "present," describing the president in the sense of the one holding office now.
Нынешний президент имеет строгую программу реформ.
The current president has a strict reform agenda.
Here, "нынешние" modifies "условия работы," meaning "current" in the context of conditions applying at this moment.
Нынешние условия работы требуют высокой квалификации.
The current working conditions require high qualifications.
"Нынешний" describes "day" as "the current day," referring specifically to today.