What is the remainder when $N = (1! + 2! + 3! + 4! + ........... + 1000! )^{40}$ is divided by $10?$

If $2(bc^2+ca^2+ab^2) = b^2c+c^2a+a^2b+3abc, $ then prove that triangle $ABC$ is equilateral

BdMO 2016 National Secondary Problem 3.

Is this solution to a problem concerning the equation $a^2=(m^yn^x)^z$ where $m=a^x$ and $n=a^y$correct?

Relationship between Row Space and Reduced Row Echelon Form

What is spectral leakage?

Show that:$\sum\limits_{n=1}^{\infty}{n\over (4n^2-1)(16n^2-1)}={1\over 12}(1-\ln{2})$

A torsion-free divisible module over a commutative integral domain is injective

Why is the solution to $x-\sqrt 4=0$ not $x=\pm 2$?

Forming seven letter words by using the letters of the word $\text{SUCCESS}$

Number of zeroes of solution to $y''(x)+e^{x^2}y(x)=0$ in $[0,3π]$

proving $t^6-t^5+t^4-t^3+t^2-t+0.4>0$ for all real $t$

Find the maximum power of $24$ in $(48!)^2$?

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