This is the 5284th most frequent Polish word.
rywalizuje
Competes.
In this sentence, 'rywalizuje' indicates engaging in competition with someone in an academic context.
Adam rywalizuje z Piotrem w konkursie matematycznym.
Adam competes with Piotr in a math competition.
Here, 'rywalizuje' is used to describe taking part in a sports-related contest among peers.
Rywalizuję z kolegami w wyścigu na rowerach.
I compete with my friends in a bicycle race.
In this context, 'rywalizuje' refers to a professional rivalry occurring in a business environment.