
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Simplify $(2(3p+4)-5p\cdot2)^2 + (6 - 2\div2)(9p-12)$ to a much simpler expression of the form $cp^2 + dp - e$, where $c$, $d$, and $e$ are integers.

Present the answer in LaTex format: \boxed{Your answer}
user