你介意为我打扫房间吗 Would you mind cleaning the room for me
(如果用mind doing 的话）这个是最地道的翻译.
(如果不用mind doing 的话,也可以说What would you mind if you clean the room for me )
其实就是这么个句型：
Would you mind doing sth?= What would mind if ...
当然不介意可以有下面几种说法：
Of course not / absolutely not / surely not / certainly not / naturally not /