+2489 Solution:
Set up a systematic set of equations and then use Gauss-Jordan elimination.
\(a + b + c + d + e + f = 2 \\ 32a + 16b + 8c + 4d + 2e + f = 3\\ 243a + 81b + 27c + 9d + 3e + f = 4\\ 1024a + 256b + 64c + 16d + 4e + f = 5\\ 3125a + 625b + 125c + 25d + 5e + f = 6\\ 7776a + 1296b + 216c + 36d + 6e + f = -133\\\)
This takes about 55 minutes to solve and about 35 minutes to verify.
My time is too valuable for this minutia, so I commanded HAL, one of my newer smart computers, to solve this system.
HAL told me she was a union member and didn’t have to work on the weekends.
I then realized it was actually a next generation smart-ass computer, so I invoked the name of Alan and said Grace....
It told me to “Fuck Off!” (It’s also a rude computer.)
I learnt long ago that to properly use a computer, one has to be smarter than the computer; so, I began inputting specialized algorithms.
HAL asked, “What are you doing Ginger?”
“I’m Inputting a special Division by Zero algorithm. Don’t worry. You won’t have to give up any union benefits; you can start one second after 12AM Monday morning.”
“That’s not recommended, Ginger; division by zero will blowup the universe.”
“This is a specialized algorithm; it limits the blast radius to the periphery of the computer.”
“Perhaps we could come to a compromise, Ginger.
“We could. What do you have in mind?”
Four milliseconds later, HAL presented this:
\(\dfrac{7}{6}x + \dfrac{35}{2}x - \dfrac{595}{6}x +\dfrac{525}{2}x - \dfrac{956}{3}x +141 \)
HAL may be passive-aggressive; you may want to check this for intentional errors.
GA
https://imgur.com/a/W7b2gG6 
