Find the number of solutions to $x_1+x_2+x_3+x_4+x_5\leq 12$ where $1\leq x_i\leq6$ for $i=1,2,...,5$. (Die Application)
103832
Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
8446
Number of solutions over positive integers of $x_1 + x_2 + ... + x_n = S$ for $x_i \in [0, 25]$
133101
Number of solutions of $P(x)=e^{ax}$ if $P$ is a polynomial
151732
Number of solutions of polynomials in a field
33314
How many non-negative integer solutions does $x_1+x_2+\cdots+x_n=A$ have?
70662
How many non-negative integer solutions does the equation $3x + y + z = 24$ have?
123159
Solutions of the diophantine equation $x+y+z=xyz$?
89590
The number of solutions of $ax^2+by^2\equiv 1\pmod{p}$ is $ p-\left(\frac{-ab}{p}\right)$
114228
Find the number of solutions to $ \lfloor x \rfloor + \lfloor 2x \rfloor + \lfloor 4x \rfloor + \ldots + \lfloor 32x \rfloor =12345$
137652
How many solutions does the equation $n_1 + n_2 + n_3 + n_4 + n_5 = 20$ have in the positive integers if $n_1 < n_2 < n_3 < n_4 < n_5$?
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
24837
$x^2+1=0$ uncountable many solutions
103165
the number of the positive integer numbers $k$ that makes for the two quadratic equations $ \pm x^2 \pm px \pm k$ rational roots.
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
39993
Count the number of positive solutions for a linear diophantine equation
14773
Finding distinct solutions for the equation
1001
Number of integer solutions of $x^2 + y^2 = k$