Bill asked me____the songs.He wanted to listen to the pop music.

to stop singing .

ask ,,,to ...

stop + to,表示停止某事去做....
stop +doing 表示停止正在做的某事.

---如果是想要我唱,则直接用,ask me to sing songs.加stop 违反简约原则.

c
ask sb to do
stop doing(停下正在做的事)
stop to do（停下来去做某事）

C、to stop singing