number of solutions for a system of integer equations
113407
Finding all solutions for a system of equations with constraint on the sum of absolute values
64731
Determine $"a"$ for which the system has no solutions, infinitely many solutions, or has one solution
23866
Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?
95494
Number of solutions of an arithmetic function's equation
44744
Integer solutions of $xy+9(x+y)=2006$
118368
number of real solution of logarithmic and exponential equation
73079
Eliminating non-integer solutions to $ab / (2\sqrt{ab} + a + b)$
114379
Show that number of solutions satisfying $x^5=e$ is a multiple of 4?
151732
Number of solutions of polynomials in a field
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
26081
What will be total number of solutions of $a+b+c = n$?
108035
solving diophantine equations using congruences
104966
Find integer solution to the given system of 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.
124505
Proof that there must exist infinitely many solutions to a homogeneous system of equations when more unknowns than equations
30126
Linear Diophantine Equations in Three Variables
156542
Number of solutions to $a_1 + a_2 + \dots + a_k = n$ where $n \gt 0$ and $0 \lt a_1 \leq a_2 \leq \dots \leq a_k$ are integers.