Movement:
* General movement: go, move, travel, journey, proceed, advance
* Fast movement: dash, sprint, race, scurry, dart, hustle
* Continuous movement: flow, stream, circulate, roll, glide
* Walking quickly: trot, jog, skip, hop, stride
* Moving in a specific way: walk, crawl, swim, fly, jump, leap, climb, slide
Operation:
* Functioning: operate, work, function, go, perform
* Continuous action: continue, persist, last, endure
* Running a business: manage, direct, lead, control
* Holding a contest: compete, race, contend, participate
Other meanings:
* Spread: spread, circulate, disseminate
* Become: become, grow, turn, develop
* To encounter: meet, face, experience, undergo
* To score: score, gain, earn, achieve
Phrasal verbs:
* Run away: flee, escape, abscond
* Run into: encounter, meet, bump into
* Run out of: exhaust, deplete, use up
* Run over: review, examine, go over
To give you the best synonyms, please provide the sentence where you're using the word "run."