# Integer Diophantine equations solver

The equations have the following integer solutions:
6 = a+b+c
a>0
b>=0
c>=0

Number of solutions found: 21
##### a1=1, b1=0, c1=5a2=1, b2=1, c2=4a3=1, b3=2, c3=3a4=1, b4=3, c4=2a5=1, b5=4, c5=1a6=1, b6=5, c6=0a7=2, b7=0, c7=4a8=2, b8=1, c8=3a9=2, b9=2, c9=2a10=2, b10=3, c10=1a11=2, b11=4, c11=0a12=3, b12=0, c12=3a13=3, b13=1, c13=2a14=3, b14=2, c14=1a15=3, b15=3, c15=0a16=4, b16=0, c16=2a17=4, b17=1, c17=1a18=4, b18=2, c18=0a19=5, b19=0, c19=1a20=5, b20=1, c20=0a21=6, b21=0, c21=0

Write each equation on a new line or separate by a semicolon. Unknows are a,b,c ... z. A Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are studied. An integer solution is a solution such that all the unknowns take integer values). Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations.

## Examples of Diofant equations and problems:

``` ab=12
```
``` 5x+7y=144
```
```8x=27y+38
```
```54=ab
90=bc
```
```(((x-1)*2/3-1)*2/3-1)*2/3=y
```