What is a problem, a task, and a solution?
philosophically, a problem isn't a problem until there is unrest, and a way to explain it as such. i.e. an understanding leads to determining if it really is a problem, or just misunderstood.  Correctly specifying the problem then leads to its identification. 

A bit morbid, but for ex, people dying from arsenic poisoning seems like a problem. Arsenic is poisonous, it will cause death. Is this the problem? No, the problem is exposure. (stated generally for brevity.) The task becomes solving exposure. And of course there may be multiple solutions. Detection, protective gear, isolation, etc.