This is the 5313th most frequent Portuguese word.
realizem
"Realizem" means "they fulfill" or "they achieve" (third person plural of "realizar").
In this sentence, 'realizem' is used in the subjunctive mood to express an action desired or imagined (students completing their tasks).
É importante que os alunos realizem suas tarefas diariamente.
It is important that students complete their tasks daily.
Here, 'realizem' is again in the subjunctive mood, illustrating an action requested or expected (us performing the calculations).
Eles pediram que nós realizem os cálculos antes de prosseguir.
They asked that we perform the calculations before proceeding.
This usage of 'realizem' conveys a wish or hope, using the subjunctive to express a personal desire or ideal situation.