deal with 和do with有相同的意思,就是"处理某件事",但是deal with与how连用,do with与what连用,如what to do with it?/how to deal with it?都表示"怎麽处理呢."而do with 还有一种意思,那就是"与..有关",如it has nothing to do with you ,与你无关.
而work with 是与..一起工作,合作的意思.