[Verse 1]
In the world of integers, whole and clean
Every number has its place in the machine
But when division calls, things get strange
Not every question has an answer in this range
[Pre-Chorus]
You can add and subtract all day
Multiply without delay
But division breaks the spell
[Chorus]
Z has no inverses hiding
Only plus one, minus one surviving
Three divided by five just hangs in space
No integer can fill that empty place
The problem's clear as crystal math
Some operations block the path
In Z the doors are locked tight
Division doesn't always work right
[Verse 2]
Take any number, try to flip it
Find its multiplicative opposite spirit
Seven times what gives you one?
In integers, it can't be done
[Pre-Chorus]
Fractions live in different lands
Where division understands
But integers refuse to bend
[Chorus]
Z has no inverses hiding
Only plus one, minus one surviving
Three divided by five just hangs in space
No integer can fill that empty place
The problem's clear as crystal math
Some operations block the path
In Z the doors are locked tight
Division doesn't always work right
[Bridge]
Eleven thirteenths, two ninths, five sevenths too
They're floating somewhere but not in Z's view
The multiplicative inverse stays away
Unless you're plus or minus one today
[Final Chorus]
Z has no inverses hiding
Only plus one, minus one surviving
When division calls but finds no home
Integers leave you all alone
The problem's written in the stars
Some numbers live behind closed bars
Remember this mathematical fact
Not every operation's got your back
[Outro]
In Z the gaps remain unfilled
Where division dreams are killed