# Questions tagged [gre-exam]

For questions relevant to the general or subject-specific Graduate Record Examination, abbreviated GRE.

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### Explicitly finding the sum of $\arctan(1/(n^2+n+1))$

This is from a GRE prep book, so I know the solution and process but I thought it was an interesting question: Explicitly evaluate $$\sum_{n=1}^{m}\arctan\left({\frac{1}{{n^2+n+1}}}\right).$$
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### GRE Subject Test - Past Papers, Books, Advice

This is not for the Maths part of the General GRE. This is for the GRE Subject Test in Maths. Feel free to add or comment. How do I know the definition of rings or of anything on the GRE given that ...
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### What is the greatest integer that divides $p^4-1$ for every prime number $p$ greater than $5$?

What is the greatest integer that divides $p^4-1$ for every prime number $p > 5$? This was on a practice math GRE so it's probably really easy.
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### Evaluate $\int_{-\pi/4}^{\pi/4}(\cos(t)+\sqrt{1+t^2}\cos(t)^3\sin (t)^3)dt$

Evaluate: $$\int_{-\pi/4}^{\pi/4}(\cos(t)+\sqrt{1+t^2}\cos(t)^3\sin(t)^3)dt$$ I have tried substituting $t=\tan(\theta)$ and breaking up the $\cos(t)^3$ using $\cos(t)^2=1-\sin(t)^2$, but I can't ...
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### recommending books for GRE math subject test

I wonder if anyone could recommend some books (other than Princeton Review) to prepare for the GRE math subject exam. I've heard that the REA books have lots of typos, though it has 6 practice exams. ...
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### Books to study for Math GRE, self-study, have some time.

I just graduated from a regional university in the US with a minor in mathematics. There is a masters program overseas, for economics, that I want to attend but they require applicants to take the ...
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### GRE linear algebra question

The following is a question from the sample GRE Mathematics Subject Test found on the ETS website: Let $M$ be a $5\times 5$ real matrix. Exactly four of the following five conditions on $M$ are ...
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### $\log x =Cx^4$ has only one root. Find C

$\log x =Cx^4$ has only one root. Find C. I don't know how to solve this problem. Do you take derivative on both sides? I am thinking C equals 0. Am I correct on that?
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