没辙。(Méizhé.)can find no way out; can do nothing about.

Explanation

“没辙”指一点办法也没有。“有辙”则指有办法。“辙”是指车轮压出的痕迹，因此“没辙”意思是无路可走，即没有办法。
“没辙” means there is no way to solve the problem at all. “有辙”is opposite to “没辙”.“辙”refers to the trace of the car wheel.
Words:

孩子háizi:child;
调皮tiáopí:naughty;
睡觉shuìjiào:sleep.

Sentences

1、Jiă: Zhè háizi tài tiáopí le, yìzhí bú shuìjiào .
甲：这孩子太调皮了，一直不睡觉。
A: The child is so naughty that she has never slept.

Yǐ: Wǒ yě méizhé, zánliă dài tā chūqù wán ba!
乙：我也没辙，咱俩带她出去玩吧!
B:I have no idea but we can take her away to play.

2、Jiă: Nǐ xiăngdào zěnme jiějué zhè ge wèntí le ma?
甲：你想到怎么解决这个问题了吗？
A: Have you thought how to solve the problem yet?

Yǐ: Wǒ zhēn méizhé le, néng xiăngdào de wǒ dōu shìguò le.
乙：我真没辙了，能想到的我都试过了。
B: Nothing can be done indeed and I have tried everything.