I am a private tutor for (mostly) high school maths and physics students.
Recently a student came to me with an elegant little problem that he had been given on an exam. The problem was very short, and easy for him to remember, but he and others had found it difficult to solve. It required synthesizing the material he had studied in a way that required some creativity. (At least, at the high school level.)
I worked through the solution with him.
I create content (videos and papers) that I publish on the internet. I would like to share this intruiging application of high school precalculus.
Here's the concern: Does the teacher or whoever else who created the problem own the problem? Am I unethically making the problem useless for other exams or homework by publishing it? What if I alter it so that the process is the same, but the numeric solution is different? Do I need the permission of the problem's author to use it at all?
To be clear, it's not a "word" problem, but simply a "solve this interesting equation" problem.