How many solutions are $ a+b+c+d = 30 ,(a\leq b\leq c\leq d) $?
44354
Total number of solutions of an equation
103832
Number of solutions of $x_1 + x_2 + x_3 + x_4 = 14$ such that $x_i \le 6$
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.
62036
Finding the number of non-negative integral solutions of $x + y + z = 10$
154610
Number of solutions for the given equation in finite field of order 32.
33314
How many non-negative integer solutions does $x_1+x_2+\cdots+x_n=A$ have?
105347
How many nonnegative integer solutions are there to the pair of equations $x_1+x_2+…+x_6=20$ and $x_1+x_2+x_3=7$?
61210
BMO2 1995 Question 1 - Solve the equation for positive integers (a,b,c)
28594
Number of integer solutions of the following equation
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
10926
System of Linear Equations - how many solutions?
124505
Proof that there must exist infinitely many solutions to a homogeneous system of equations when more unknowns than equations
14773
Finding distinct solutions for the equation
38541
How many solutions are there to $x_1 + x_2 + ... + x_5 = 21$?
89031
Solve $a!b!=a!+b!+c!$ where $a$, $b$ and $c$ are nonnegative integers.
61022
Diophantine Equations : Solving $a^2+ b^2=2c^2$
114996
$x+y+z=n$. Finding the number of solutions.