How many solutions does the equation $x+y+z=11$ have?
45408
How many solutions does the equation $x_1 + x_2 + x_3 = 11$ have, where $x_1, x_2, x_3$ are nonnegative integers?
13420
$10$ Equations in $10$ variables
45616
Find all solutions of ${\frac {1} {x} } + {\frac {1} {y} } +{\frac {1} {z}}=1$, where $x$, $y$ and $z$ are positive integers
70662
How many non-negative integer solutions does the equation $3x + y + z = 24$ have?
105347
How many nonnegative integer solutions are there to the pair of equations $x_1+x_2+…+x_6=20$ and $x_1+x_2+x_3=7$?
50433
Prove $4(x + y + z)^3 > 27(x^2y + y^2z + z^2x)$
66256
Find all solutions of the equality $y^2=x^3+23$ for integers $x,y$
156468
Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$
95494
Number of solutions of an arithmetic function's equation
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
151732
Number of solutions of polynomials in a field
8446
Number of solutions over positive integers of $x_1 + x_2 + ... + x_n = S$ for $x_i \in [0, 25]$
126820
How many positive integer solutions are there to the equality $x_1+x_2+...+x_r= n$?
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
99739
The diophantine equation $x^2+y^2=3z^2$