Are you confused by what the poem is telling you? Don't worry, everyone has been. Here I'll explain how to solve the puzzle.
Poem 1
Hint 1- You are looking for "a hidden note", as is said in the first part of the poem. It's a secret message!
Hint 2- The top part is the key, the bottom part is the message
Hint 3- Look at the rhyme scheme of the poem...
Solution- When you write out the rhyme scheme for the top, you get all 26 letters. Then you find which ones rhyme in the bottom, and discover the hidden message. LOOKINTHELIGHTER
Poem 2
Hint 1- Try a similar process of Poem 1
Hint 2- If you discovered he language, it is Latin. (You can just google it, but the basic terms are pretty easy to see just from looking at it. Negativa, quadratae formula, etc.
Hint 3- You use the quadratic formula
Solution- The numbers are Roman Numerals, and will be: x^2-6x-391. When you perform the quadratic formula, you get 23 and a different number that is negative. On the box, it says: Non est negativa, or not a negative in latin. The Rug just says "this is the key, referring to the latin language. Of course, you enter the answer as XXIII because the question started with Roman Numerals.
Poem 3
Hint 1- Yes, it has the basic elements of the first one, just a bit different
Hint 2- The "the letter is" lines should be taken literally
Hint 3- Look at first letters of the lines
Solution- You look at the poem provided, and find where it rhymes with the original key from Poem 1. Then, look at the beginning of the lines, the first letter that is, and that is your letter for the line. BEHINDPAINTING will be your answer.
Poem 4
Hint 1- Look at the last lines
Hint 2- Look for mistakes
Hint 3- The ls is actually LS, not IS
Solution- When you find all of the added letters, you will discover the solution: HELIOS
Poem 5
Hint 1- It is a simple math problem
Hint 2- You need the answer to the second puzzle
Hint 3- You do as the poem says
Solution- Do the simple math and discover you must add NEGATIVETWO
I hope this helped!