This is just a quick post I'll make to solve the end of AvM 37 - Hardcore Manhunt. At the end of the episode, Alan gives us 3 logic puzzles to solve.
Puzzle 1
Firstly, he gives us a simple maths problem. Solving with Order of Operations, we get 39.
7+8/2*8
7+4*8
7+32
39
This most likely means Episode 39, indicating that something major will happen in that episode. Anyway, onto the next hint.
Puzzle 2
Secondly, a circuit puzzle is given to us. He asks which switches need to be closed in order to light the lightbulb. The answer to this is the Red and Blue ones, as closing the Yellow one wouldn't do anything and closing the Green one wouldn't do anything either.
The Red and Blue likely means the Red and Blue Stickfigures. So far, we have something that occurs in Episode 39 relating to Red and Blue.
Puzzle 3
For this, I will use pronumerals in place of the colors.
Red = A
Yellow = B
Green = C
Blue = D
C - B = 16
A - B = 4
D - C = 1
B + A = 6
So, basically, what I did first was take equations 2 and 4.
A - B = 4
B + A = 6
The only digits you could use for this is 5 and 1.
A = 5, B = 1.
5 - 1 = 4
1 + 5 = 6
So, what we have is Red = 5 and Yellow = 1.
But what about the other 2 equations?
C - B = 16
D - C = 1
We already know that B = 1. Therefore, C - 1 = 16 means that C = 17 as 17 - 1 = 16.
And D - C = 1. C = 17, so D - 17 = 1. D must be equal to 18, as 18 - 17 = 1.
Cool, so now we have:
Red (A) = 5
Yellow (B) = 1
Green (C) = 17
Blue (D) = 18
So, we have these random numbers. What now? Well, there are a series of colors at the bottom of the paper.
Red, Yellow, Green, Red, Blue.
5, 1, 17, 5, 18
Now, we have a different set of random numbers.
But it goes even FURTHER.
Putting these numbers into a Caesar Cipher where A = 1, you get...
EAQER.
Alright, random letters. However, shifting the cipher by 22, you get...
AWMAN.
EAQER AWMAN.
EAQER AW MAN.
This is CLEARLY a reference to the song by CaptainSparklez - Creeper Aw Man.
Summary
We have Episode 39, Red and Blue, Creeper Aw Man.
This probably means that Red and Blue will die to a Creeper in Episode 39.
But, there is a second theory for the cipher.
Theory 2
Some people are saying that the Red and Blue from Puzzle 2 means to leave the Red and Blue colors as it is (without shifting them). This theory also includes the fact that 39 isn't referring to an episode, but instead how you shift the cipher.
Incorporating all of these rules? It gives you ENDER. This POSSIBLY means that they could complete the manhunt/beat the game in due time, maybe in Episode 39.
But that's just a theory.
A Game Theory.