This is the 2459th most frequent Russian word.
попытаться
"To try" or "to attempt."
The word "попытаться" here is used to convey an intention to attempt or make an effort towards learning a new skill.
Я решил попытаться научиться играть на гитаре.
I've decided to try to learn how to play the guitar.
In this sentence, "попытаться" emphasizes the action of attempting to solve the problem, highlighting the difficulty involved.
Попытаться решить эту задачу было сложной задачей.
Trying to solve this problem was a challenging task.
Here, "попытаться" is used to express a collective effort or attempt to accomplish a noble goal.