I've been accused of plagiarising an answer to a math problem. The incompetent professor pulled a problem off the internet, aka googled it. We had an open note, open book, open everything exam. I googled the problem and answer, and wrote in the answer. Now the professor is accusing 3/4 of the class of plagiarising the exam question? How can you plagiarise a math question/answer? I don't even believe it was cite worthy math solution? Clearly the problem was more difficult than 2+2=4, but the correct answer is solving a mathmatical problem, so how can that be plaiarism? please help...
closed as off-topic by Brian Borchers, David Ketcheson, Anyon, Buzz, eykanal♦ Oct 23 '18 at 15:46
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The instructor may not have very good practices, of course. But if the rules of your course or university say that you can't use "found" solutions then you have broken that rule. That is distinct from plagiarism, but might be tagged as such.
But yes, you can plagiarize pretty much anything. It is presenting the work of others as your own. Normally, if you need to present the work of others it is also cited with the source. If you did that, then it isn't plagiarism at all, but it still might break the rules.
Let me add that professors don't ask students to solve problems because they need the answers. The entire purpose is to generate growth in the understanding of the students. The professor can likely solve any problem himself/herself, until you reach the doctoral research stage. Reading solutions isn't the same as solving problems. You will never advance by only reading the work of others. The professor probably understands this.
...professor pulled a problem off the internet...I googled the problem and answer, and [used] the answer...
That sounds like you plagiarised. But,
We had an open note, open book, open everything exam.
So, it boils down to the precise rules that were defined for the exam.