Test suite has been updated to not give away the solution.
The solution (or actually one of many solutions) of this cubic equation with minimal integer positive value of (x+y+z), is x = 30,864,197 , y = -246,913,580 , z = 216,049,384 ; in that case, x+y+z = 1, and you can't get smaller than that. (Sorry, I wrote the same thing as a remark in the solution script, but I made a typo and wrote the wrong value of z there.)
Tune your guitar
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GJam: 2013 Rd1a Bullseye Painting - Large Numbers
TRON Tourney 000 : Clockwise Wall Hugger
GJam 2016 Rd1A: Rank and File (small)
String Find with Wildcards of a Cell array
Binpack Contest: Retro
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