"Trying to solve a problem" 的英文表达为 "attempting to solve a problem"。
"Attempt" 是一个动词，来源于中世纪拉丁语 "attemptare"，意思是 "尝试"、"企图"。
例句：
He attempted to fix the broken window. (他试图修补破窗户)
She attempted to cpmb the mountain but failed. (她尝试爬山但是失败了)
所以结合使用 "attempt" 和 "to solve" 可以得到 "attempting to solve"。
例句：
They are attempting to solve the mystery of the missing jewels. (他们在尝试解开失踪珠宝的谜团)
He attempted to solve the mathematical problem but couldn't. (他试图解决数学问题但是不行)