Prove that a number composed of only $2n$ "1"s, minus another number composed of only $n$ "2"s, is a perfect square.

Solving a biquadratic.

How to solve $a$ in $\int_a^xf\left(t\right)dt=x^2-2x-3$

$\exists x \in R$ and $\exists n \in\mathbb{N}$ such that $x^{n+1} = x^n \implies x^2 = x$

Finding maximum of two polynomial functions

Factor of a Mersenne number

Created a function with roots at primes and only primes, are there useful applications?

True or False: Let $G, H$ be finite groups. Then any subgroup of $G × H$ is equal to $A × B$ for some subgroups $A<G$ and $B<H$.(TIFR GS2018)

Is possible to use "Feynman's trick" (differentiate under the integral or Leibniz integral rule) to calculate $\int_0^1 \frac{\ln(1-x)}{x}dx\:?$

The Arithmetic Mean (A.M) between two numbers exceeds their Geometric Mean (G.M.)

$f'(x)=f(\cos(x))$

Difficulty in understanding "Find $E[N]$ , where $N=\min\{n>0: X_n=X_0\}$"

Divergence of matrix-vector product

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