How many integer solutions of $x_1+x_2+x_3+x_4=28$ are there with $-10\leq x_i\leq20$?
108941
Combinatorics Question Asking How Many Integer Solutions Given Different Restrictions
134570
Using Inclusion/Exclusion to solve $x_1+x_2+x_3=15$ with $x_1,x_2\leq 5$ and $x_3\leq 7$ for non negative integers $x_1,x_2,x_3$
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?
57330
Find the number of solutions of $\sin x+2 \sin 2x- \sin 3x=3$
77595
Number of solutions of $x_1 + 2x_2 + 3x_3 + \cdots + n x_n = p$
23866
Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?
39993
Count the number of positive solutions for a linear diophantine equation
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
146491
Number of solutions of $x_1+x_2+\dots+x_k=n$ with $x_i\le r$
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
71108
Is there an integer $N>0$ such that $\varphi(n) = N$ has infinitely many solutions?
32985
Prove that there does not exist integer solutions for the diophantine equation $x^5 - y^2 = 4$.
28594
Number of integer solutions of the following equation
95494
Number of solutions of an arithmetic function's equation
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.
69328
(USAJMO)Find the integer solutions:$ab^5+3=x^3,a^5b+3=y^3$
29876
Find the number of triples $(x,y,z)$ of real numbers satisfying the equation $x^4+y^4+z^4+1=4xyz$