Find all real solutions for the system: $x+\frac{1}{y}=y+\frac{1}{z}=z+\frac{1}{x}$ given that $xyz=1$
71802
$x + \frac1y = y + \frac1z = z + \frac1x$, then value of $xyz$ is?
15268
Find all $x,y \in \mathbb N^*$ such that $\frac{1}{x} + \frac{1}{y}=5$
82170
Solve $x = \frac{1}{2}\tan(x)$
24822
How to solve the equation $(z+1)^7 = z^7$ for all $z$?
63194
Find all integer solutions to $x^2-2y^2=1$
58675
The real or purely imaginary solutions of the equation, $z^3+iz-1=0$ are?
38811
Solutions to $\frac1{\lfloor x\rfloor}+\frac1{\lfloor 2x\rfloor}=\{x\}+\frac13$
44250
rational number solutions to $\frac{a}{a^2+1} + \frac{b}{b^2+1} = \frac{c}{c^2+1}$ with $abc\ne 0$
133925
Find All Solutions to System of Congruence
58311
How to find the solution of a quadratic equation with complex coefficients?
129052
Find all functions satisfying $\frac{1}{f(a)}+ \frac{1}{f(b)} = \frac{1}{f(c)} $ whenever $\frac{1}{a}+ \frac{1}{b} = \frac{1}{c} $
59196
Find all real solutions for $x$ in $ 2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2 . $
60902
Find general solution for the equation $1 + 2 + \cdots + (n − 1) = (n + 1) + (n + 2) + \cdots + (n + r) $
50283
Find answer of $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{y+x}=4$
8383
Are there any positive integers such that $\frac{x}{y} + \frac{y}{z} + \frac{z}{x} = 1$?
145504
Help solving variable separable ODE: $y' = \frac{1}{2} a y^2 + b y - 1$ with $y(0)=0$
72857
Find the number of integral solutions of $2x + y + z = 20$?