$\frac{4}{13}=\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ solve for positive integers.
6595
Solve for positive integers: $\frac{4}{13}=\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$
24322
Prove that the equation $18x+42y=22$ has no integer solution?
115101
Solve $x + \lfloor y \rfloor + \{ z \} = 13.2$; $\{ x \} + y + \lfloor z \rfloor = 15.1$; $\lfloor x \rfloor + \{ y \} + z = 14.3$
85917
Solve $(x+1)^y-x^z=1$
24822
How to solve the equation $(z+1)^7 = z^7$ for all $z$?
153377
How to solve $y^2=3x^4+3x^2+1$ for integers.
13789
solve $T(n)=T(n-1)+T(\frac{n}{2})+n$
12158
Show that $\arctan\frac{1}{2}+\arctan\frac{1}{3}=\frac{\pi}{4}$
68960
How to solve $ 13x \equiv 1 ~ (\text{mod} ~ 17) $?
118969
Olympiad Inequality $\sum\limits_{cyc} \frac{x^4}{8x^3+5y^3} \geqslant \frac{x+y+z}{13}$
103555
Find all positive integral soludions of $\frac{a}{b+c} + \frac{b}{a+c} + \frac{c}{a+b} = 4$
148906
Finding integers $m,n$ such that $(m-n)^2=4mn/(m+n-1)$
148461
If $S=\frac{1}{1+1^2+1^4}+\frac{2}{1+2^2+2^4}+\cdots+\frac{n}{1+n^2+n^4}$, then calculate $14S$.
105793
Solution of equation $\frac{x\cdot 2014^{\frac{1}{x}}+\frac{1}{x}\cdot 2014^x}{2} = 2014$
53162
$13\mid4^{2n+1}+3^{n+2}$
109490
Modular arithmetic problem (mod $13$)
158684
How to solve and see resolution of $13^{53} \pmod 7$ using Fermat little Theorem?