compete with (someone or something)
To work or put forth effort against someone or something. How many people am I competing with for this job? Instead of competing with the loud music out here, let's go inside and talk.
compete with someone or something
to contend against someone, something, or a group; to play in a competition against someone, something, or a group. I can't compete with all this noise. We always compete closely with our crosstown rivals, Adams High School.