And by " do something" , he means having me slave over a rack of lamb all day.

说到" 做点什么" ，他是说让我辛辛苦苦烤了一天的羊排。

" To slave (slave) over (something)" means to work very hard at something.

“To slave (slave) over (something)”是指在某事上非常努力地工作。

He doesn't want his mother to slave over a hot stove just cook him a lavish dinner.

他不想让他的母亲在热炉旁辛勤工作， 只是为他做一顿丰盛的晚餐。

It is, actually, because that is when I decided that I don't want this piece of art that I slaved over hanging in the house you are sharing with your new girlfriend.

是的，确实是因为就在那个时候，我决定我不想这幅我辛辛苦苦完成的画挂在你和你的新女友一起住的房子里。

She was so excited about the party, and who am I to tell her she has to slave over a hot stove to cook me a lavish dinner?

她对聚会非常兴奋，我凭什么告诉她她必须在热炉子前辛苦工作才能为我做一顿丰盛的晚餐？

A perfectionist in so many ways, this famous painter liked to slave over his work for long hours, focusing on each and every detail meticulously and never settling for anything short of flawlessness.

这位著名画家在很多方面都是完美主义者，他喜欢长时间专注于自己的作品，一丝不苟地关注每一个细节，从不满足于完美无瑕。

My quirky comedy screenplay that I've been slaving over for the past three years was rejected by 15 Hollywood agents, who all said it was the worst thing they ever read.

在过去的三年里， 我一直在苦苦思索的古怪喜剧剧本被 15 位好莱坞经纪人拒绝了，他们都说这是他们读过的最糟糕的东西。

But the expression " to slave over" means to work very hard at something, and this is a common way of using it: " to slave over a hot stove."

但是“to slave over” 这个表达意思是在某件事上非常努力地工作，这是一种常见的用法：“to slave over a hot stove” 。