Guess The Demon Level Name #5 (Answer+Solution+Winners)

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Solution:
F(x) = b(x)^3 + c(x)^2 + ax
F'(x)= 3b(x)^2 + 2c(x) + a
F''(x)= 6b(x) + 2c

And all of this according to differentiation rules you can read about it here: https://www.mathsisfun.com/calculus/derivatives-rules.html

And now:

f (2) = 8b + 4c + 2a = 82
f' (1) = 3b + 2c + a =35
f''(3) = 18b + 2c = 124

Now we multiply the second equation by -2 it becomes:
-6b + -4c + -2a = -70

Then we combine it with the first equation it becomes:
2b = 12
b = 6
We replace the b in the third equation to find c
c = 8
We replace the c and b in the first or second equation to find a
a= 1

At last a+b+c = 15

15* 12,033,812,034.667 = 180507180520.005

Replace each number now according to the alphabetical order....

We get *regret* (neglect the .005)