Iris is so Mystique!

Author: mistertfy64

(The maximum score for this problem is 1010000 points.)

After Lia yapped uselessly about how she was fired from being an angel to her friend Iris, it made Lia realize that she isn't as mystique like Iris after all.

Maybe Iris has a way of speech that makes her mystique, and Iris is willing to share it with Lia. She told Lia that: "I have 4 riddles for you to solve, once you solve them, concatenate the answers, add an underscore (_) in the middle, then reverse all the characters after the underscore, then reverse the all of the characters, then write with lowercase characters, then you will become mystique just like me!"

1. Find the value of b where its representation as a number does not contain a minus sign in this system of equations:
   • 8a+b⁴+2c=48
   • 3a+6c+2d=-27
   • 7a+5c-10d=-13
   • 5a-12c+6d=135
2. Answer this questi0n: What is the fifth prime number? Answer as a 2-digit hexadecimal number. 0h wait, this pr0blem seems s0mewhat c0rrupted. What was the c0rrupti0n, maybe carry that in the answer as well?
3. Answer this riddle: I have three friends, but for some reason they all have two-letter names: OP, CA, ZA. I have four pieces of cake and I want to split it equally, but I was wondering who gets the remaining piece?
4. Answer this riddle: I have three friends, but for some reason they all have two-letter names: OP, CA, ZA. I have four pieces of cake and I want to split it equally, but I was wondering who gets the remaining piece?

But before Lia could get to solving, Iris tells her one more thing: "Oh, to be mystique, you have to find the non-trivial answers, since triviality doesn't equate to being mystique!"

Correct Answers