Number of integer solutions of $3x+y+z=23$
70662
How many non-negative integer solutions does the equation $3x + y + z = 24$ have?
28594
Number of integer solutions of the following equation
145287
Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
151375
There are $3$ Zero-Sum Numbers!
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
44354
Total number of solutions of an equation
111467
find all natural solution that satisfy $x^2+y^2 = 3z^2$
106896
Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?
30126
Linear Diophantine Equations in Three Variables
151732
Number of solutions of polynomials in a field
136586
Making $x+\frac1y$, $y+\frac1z$, and $z+\frac1x$ all integer.
153170
Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$
126689
Find the number of natural solutions of $5^x+7^x+11^x=6^x+8^x+9^x$
39993
Count the number of positive solutions for a linear diophantine equation
26461
Integer solutions of $x^3-x+9=5y^2$
23866
Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?