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Sahaj
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I'm a high school student from India.

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31
Why does this system of gcd equations have no solutions?
16
If $x + y \equiv x^2 + y^2 \equiv x^3 + y^3 \pmod{n}$, is it true that $x+y \equiv x^4 + y^4 \pmod{n}$?
13
Evaluation of $\displaystyle \int^1_0\left(1+x^{9}+x^{21}+x^{36}+\cdots \right)\ \mathrm dx$
9
Solve $1000(A-2D)-100B+10(C-2A)+D-2C=9$ without trial and error.
9
Set of natural numbers that sum to 2023 having the maximum product.