“我将尽量今天完成这项任务，这样明天就可以交上去了。”帮忙翻译，谢谢！

I will try to finish the assignment today, then I can put it in tomorrow.

1）比较正规的说法：
I'll accomplish the assignment to the best of my abilities today, so that I can submit it tomorrow.
注：
to the best of one's abilities 尽最大努力
so that 如此一来

2）比较简单的说法：
I'll try my best to finish the work, so that I can hand in it tommorow.

I will try to finish the task today, then I can submit it tomorrow.

I'll try my best to finish the work, so that I can hand it in tommorow.