for后面不可以直接加to do。

应该是sleeping is for working esaily,working is for sleeping at ease 。意思是：睡觉是为了轻松的工作，工作是为了容易的入眠。在这里for充当介词表示目的，介词后接名词如果接动词要改为动名词。而to do也表示目的。如果将这句用to do表示，如下：sleeping is to work esaily,working is to sleep at ease 。

1.I have some work for you to do.我有些事要你做。

2.If you're stuck for something to do tonight, come out with us.你要是正愁今晚没事做，就跟我们一块儿出去吧。

3.I was at a loss for what to do next下一步该怎么做，我完全没谱。

4.People are desperate for him to do something.人们极希望他能做点什么。