1.I have had great deal of trouble______________________________(跟得上班上的其他同学).
2.I dont mind your_____________(你延期做出决定)the decision as long as it is not too late.
3. In the Chinese household, grandparents and other relatives_____________(起着不可缺少的作用) in raising children.
4.Mark often______________(试图逃脱罚款) whenever he breaks traffic regulations.
5.When I __________________(发现他骗我)I stopped buying thins there and started dealing with another shop.
答案及解析：
1. (in) keeping up with the rest of the class.
have trouble (in) doing sth. 做某事有困难中，trouble可以用difficulty来代替,in可以省略。keep up with意为跟上，指并肩前进，并驾齐驱，不至落后、掉队。catch up with意为赶上，指从后边追上或改变落后状。
2. delaying making
mind作及物动词，后面通常接名词、代词、V-ing形式、复合结构、从句等。delay后接动词时，应该接动词的ing形式。
3. play indispensable roles
play a part/role in 起着作用，饰演的角色。
4. attempts to escape being fined
escape后面要接动名词形式。常与介词from搭配，如He has escaped from the fire.
5. caught /found him cheating me
find/catch+宾语+宾补，如I found him standing by the river.