seem+形容词和seem to be

seem可用作连系动词或不及物动词,意为“似乎；好像”,其常见用法现归纳如下：
一、“主语+ seem +（to be ）+表语”,表语多为名词或形容词,有时是其他的词或短语,以说明主语的特征或状态.例如：
Tom seems （to be ） a very clever boy.汤姆看上去是一个非常聪明的男孩.
The man over there seems to be a new teacher.那边的那个人看上去像一个新老师.
Mr Black seemed to be quite happy.布莱克先生好像十分快乐.
This small town seems changed a little.这个小城镇似乎有点儿变化.
二、“主语+ seem + 不定式”,此句型中的seem与不定式一起构成复合谓语.例如：
Mrs Green doesn’t seem （或seems not ） to like the idea.格林夫人似乎不太喜欢这个主意.
The children seemed to be eating something in the room.孩子们好像正在房间里吃东西呢.
The young man seemed to have changed much.这个年轻人看起来变化很大.
三、“It seems + that从句”,其中it 是形式主语,that引导主语从句.例如：
It seems that no one knows what has happened in the park.似乎没有人知道在公园里发生了什么事.
It seems to me that Mr Brown will not come again.在我看来布朗先生不会再来了.
四、“There + seem to be +名词”,其中to be 可省略.seem 的单复数形式要根据后面作主语的名词的单复数形式而定.例如：
There doesn’t seem to be much hope of our beating that team.看来我们战胜那个队没有多大希望.
There seems no need to wait longer.看来没有再等的必要了.
根据以上的叙述,也可以看出你的答案了

The maths problem seems difficult 看起来难啊.对已知的情况分析后作出的判断.对题目的分析深入些
The maths problem seems to be very difficult 看起来会挺难啊.没怎么太开始研究呢.对题目的分析浅显些
seem to do和seem doing 就是微妙时态上的差异.
楼上的那个答案太不浅显易懂,对这...