Using partial information to factor $x^6+3x^5+5x^4+10x^3+13x^2+4x+1.$

Is there an "algebraic" way to construct the reals?

Why is my value for the length of daylight wrong?

Determine the Galois group of $x^3 + 3x^2 - 1$ over $\mathbb{Q}$

Solving $\left(x-c_1\frac{d}{dx}\right)^nf(x)=0$ for $f(x)$

Proving $\frac{1}{2^n}\sum_{z\in\{0,1\}^n} (-1)^{z\cdot (x\oplus y)}=\delta_{xy}$, where $x\oplus y$ is the bitwise sum

Abelian finite groups and their subgroups

If $x$ and $y$ are integer variables that have value $0$ or $1$, then what does the expression $x + y - xy$ mean?

Let $a_2,a_3,\cdots,a_n$ be positive real numbers and $s=a_2+a_3+\cdots+a_n$. Show that $\sum\limits_{k=2}^na_k^{1-\frac{1}{k}}<s+2\sqrt{s}$

If $H$ is a subgroup of a group $G$, is there a standard name for subsets of the form $xHy$?

Find all positive integers $x$ and $y$ for which $\frac{1}{x} + \frac{1}{y} = \frac{1}{p}.$

Prove that $\tan^{-1}\frac{\sqrt{1+x^2}+\sqrt{1-x^2}}{\sqrt{1+x^2}-\sqrt{1-x^2}}=\frac{\pi}{4}+\frac 12 \cos^{-1}x^2$

Solve $2x^2+y^2-z=2\sqrt{4x+8y-z}-19$

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