with her mind made up to work ：相当一个介宾从句
with:介词
her mind :是with的宾语
made up :是her mind 的 后置定语,修饰 her mind
由于是被动被决定,所以用被动语态修饰her mind,其中动词过去分词可以表被动（注：复习非谓语动词）.
这里with相当于 search with baidu(应用百度搜索)的with,
to work 是不定式表未来、目的等.
Expect it is hopeful for you !