Dictionary form (解ける) as potential form (解けられる)?


Suppose I wanted to say to someone, "Can you solve this question?" According
to my Memrise app and some Google results, this is the model sentence:

> (1) この問題が **解けます** か。

Since potential ("can") is involved, shouldn't the Japanese sentence be:

> (2) この問題が **解けられます** か。

Perhaps the literal meaning of (1) is "Will this question be in a solved
state?", similar to ドアがしまりますか。 _Is the (automatic, maybe) door going to be
closed?_ Perhaps this literal meaning is widely taken to mean "Can you solve
this question?"

I've asked a [similar question about dictionary form vs potential
form](https://japanese.stackexchange.com/questions/30823/%E3%81%A8%E3%81%BE%E3%82%89%E3%81%AA%E3%81%84-in-
one-punch-man-op-
meaning-%E3%81%A8%E3%81%BE%E3%82%8C%E3%81%AA%E3%81%84-negative-potential), but
due to the limited context of that question, I would like to know **if the
dictionary form can be used as the potential form in general**.




(2) is unnatural because 解ける is the potential verb of 解く and it already means
potential.

When 五段活用 verbs change to 下一段活用 verbs, they sometimes become potential verbs
and they are called 可能動詞. In this case, a 五段活用 verb 解く changes to a 下一段活用 verb
解ける, and it becomes the potential verb of 解く.

