Fry never learnt his lesson and ate another egg filled sandwich from a gas station. He has worms again! (and not the good kind). However this time the worms agree to leave Fry's body if he can solve their Diophantine equation riddle.

\[x^2+y^2+z^2+3(x+y+z)+5=0\]

How many solutions can be done?

You can give it a go and try!

Give up now! We have won!

Mr Phillip J. Fry!

For those who are unfamiliar with the art of annelid poetry, they just want the number of Diophantine solutions.

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