n is+ve integer, how many solutions $(x,y)$ exist for $\frac{1}{x} + \frac{1}{y} = \frac{1}{n}$ with $x$, $y$ being positive integers and $(x \neq y)$
10753
Natural number solutions to $\frac{xy}{x+y}=n$ (equivalent to $\frac 1x+\frac 1y=\frac 1n$)
123159
Solutions of the diophantine equation $x+y+z=xyz$?
156542
Number of solutions to $a_1 + a_2 + \dots + a_k = n$ where $n \gt 0$ and $0 \lt a_1 \leq a_2 \leq \dots \leq a_k$ are integers.
149562
How many solutions has the equation $\sin x= \frac{x}{100}$ ?
72857
Find the number of integral solutions of $2x + y + z = 20$?
118368
number of real solution of logarithmic and exponential equation
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
51153
Number of solutions to $x^2\equiv a\pmod m$
44744
Integer solutions of $xy+9(x+y)=2006$
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
4278
Is $\frac{\vert x+y\vert}{1+\vert x+y\vert}\leq\frac{\vert x\vert}{1+\vert x\vert}+\frac{\vert y\vert}{1+\vert y\vert}$ true?
76679
Prove there are no other solutions of functional equation $f(x+y) = \frac{f(x)+f(y)}{1-f(x)f(y)}$
136586
Making $x+\frac1y$, $y+\frac1z$, and $z+\frac1x$ all integer.
7085
Prove that if the equation $x^{2} \equiv a\pmod{pq}$ has any solutions, then it has four solutions.
33314
How many non-negative integer solutions does $x_1+x_2+\cdots+x_n=A$ have?
15268
Find all $x,y \in \mathbb N^*$ such that $\frac{1}{x} + \frac{1}{y}=5$