# Integer Diophantine equations solver

The equations have the following integer solutions:

**a = 1+9+c+d**

1960 - (1900+c*10+d) = a

a<40

d<10

1960 - (1900+c*10+d) = a

a<40

d<10

**Number of solutions found: 1**

##### a_{1}=17, c_{1}=4, d_{1}=3

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