try (to make an effort to do or achieve something): Let’s try to finish the work.
attempt (to make an effort to do or achieve something difficult): Don’t attempt to climb the wall.
struggle (to make great efforts to do or achieve something): He is struggling to quit smoking.
strive formal (to make great efforts to do something or make something happen): We must strive for greater efficiency.
seek (to try to achieve or obtain something): We seek to improve our service.
endeavor formal (to make serious efforts to do something): The government should endeavor to control inflation.
exert yourself (to make great mental or physical effort to do something): We must exert ourselves to resolve this issue.
have a go informal, spoken (make an effort to do something, especially after others have tried): Let me have a go at repairing the computer.