How many solutions does the equation $x+y+z=17$ have where $x,y,z$ are non negative integers?
30412
How many solutions does the equation $x_1 + x_2 + x_3 = 14$ have, where $x_1$ , $x_2$ , $x_3$ are non-negative integers.
85917
Solve $(x+1)^y-x^z=1$
89677
Why there isn't any integer solutions in non-zero integers for $z^3 = 3(x^3 +y^3+2xyz)$?
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
45616
Find all solutions of ${\frac {1} {x} } + {\frac {1} {y} } +{\frac {1} {z}}=1$, where $x$, $y$ and $z$ are positive integers
9542
Integer solutions for $x^2-y^3 = 23$.
156468
Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
77763
Proof that the equation $x^2 - 3y^2 = 1$ has infinite solutions for $x$ and $y$ being integers
117392
Does $x^2 - y^2 = 12345678$ (x,y are integers) have any solutions?
71756
diophantine equation: $x^2 +y^2 = z^n$
41939
How many ordered quadruples $(w, x, y, z)$ of non-negative integers are there such that $wxyz = 288$? Why?
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.
28148
Are there any simple ways to see that $e^z-z=0$ has infinitely many solutions?
29989
Solve $x^2+5x+6 \equiv 0 \pmod{\!11\cdot 17}$
57959
Every $n > 17$ is a non-negative integer combination of $4$ and $7$.
72857
Find the number of integral solutions of $2x + y + z = 20$?
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!