Integer solutions $d = \frac{ab}{a + b + 2\sqrt{ab}}$
73079
Eliminating non-integer solutions to $ab / (2\sqrt{ab} + a + b)$
53503
Solving the diophantine equation $y^{2}=x^{3}-2$
147648
Proving $\frac{a}{a^2-a+1}+\frac{b}{b^2-b+1}+\frac{c}{c^2-c+1}+\frac{d}{d^2-d+1}\le \frac{8}{3}$ given $a+b+c+d=2$
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
26287
Find $\frac{a^2}{2a^2+bc}+\frac{b^2}{2b^2+ac}+\frac{c^2}{2c^2+ab}$ if $a+b+c=0$
30307
Find the value of $k$ in $\frac{b+c}{\sqrt{a}}+\frac{c+a}{\sqrt{b}}+\frac{a+b}{\sqrt{c}} \ge \sqrt{a}+\sqrt{b}+\sqrt{c}+k$
31724
How prove that $q \geq b+d$ for $ad-bc = 1$ and $\frac{a}{b} > \frac{p}{q} > \frac{c}{d}$?
44744
Integer solutions of $xy+9(x+y)=2006$
151764
modular arithmetic, solving $ax + b \equiv c \pmod d$?
96185
Solutions of $x^2+y^2+z^2 = n$ in $\mathbb{Z}_2$.
103304
Finding the number of solutions to a diophantine equation
11506
Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
61210
BMO2 1995 Question 1 - Solve the equation for positive integers (a,b,c)
33469
Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$
12967
Find all $n>1$ such that $\dfrac{2^n+1}{n^2}$ is an integer.
133382
Proof that $a+b+\frac{1}{1+\sqrt{ab}}\geq\frac{5}{2}$