find $u,v\in \mathbb Z$ such that $231u+45v=1$.
139350
Given two coprime integers, find multiples of them that differ by 1
74187
$\operatorname{ord}(u)=r,\,\operatorname{ord}(v)=s$ $\,\Rightarrow\,\operatorname{ord}(uv)=rs\,$ if $\,r,s\,$ (co)primes
106609
Show that $e^{iy} = 1 + iy + \frac{\mu_1 y^2}{2}$ for all $y \in \mathbb{R}$ with $|\mu_1| \leq 1$
98380
$x^{20}=1$ for all $x\in U(100)$
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
47809
If $x,y\in\mathbb Z$, solve $x^2+xy+y^2=x^2y^2$.
52800
Show that $z^5-1=(z-1)(z^2+2z\cos{\pi \over 5}+1)(z^2-2z\cos{2\pi \over 5}+1)$
119109
Integer solutions to $ n^2 + 1 = 2 \times 5^m$
9143
Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$
40321
$\operatorname{Aut}(\mathbb Z_n)$ is isomorphic to $U_n$.
52888
Find all values of a for which $\{v_1,v_2,v_3\}$ form a basis for ${\bf R}^3$
143281
How to solve $z^2-(1-3i)z-2i-2=0$
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
13831
Find $ P(Z>X+Y)$ where $X,Y,Z \sim U(0,1)$ independently
10589
How to factorize $5$ in $\mathbb{Z}[\root 3 \of 2]$?
9223
Finding $\iiint_K (x^2 -z^2)\, dx\, dy \,dz$
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$