The number of solutions for $x+y+z=n$
50550
Combinatorics Distribution - Number of integer solutions Concept Explanation
62036
Finding the number of non-negative integral solutions of $x + y + z = 10$
117352
Show $x^n+ax+b=0$ has most two solutions
87345
How many ways so that $x+y+z\leq n$?
134352
The number of possible factorizations of a positive integer.
82742
Proving that ${x +y+n- 1 \choose n}= \sum_{k=0}^n{x+n-k-1 \choose n-k}{y+k-1 \choose k} $
112575
Finding integer solutions of $m^2-n^5 = m - n$
105302
Solutions of bivariate cubic Diophantine equation
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
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
105347
How many nonnegative integer solutions are there to the pair of equations $x_1+x_2+…+x_6=20$ and $x_1+x_2+x_3=7$?
23866
Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?
118368
number of real solution of logarithmic and exponential equation
103304
Finding the number of solutions to a diophantine equation
92290
For each $x,y,z∈\mathbb N$, if $x<y$ then $x+z<y+z$