
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
Jack rewrites the quadratic \(4x^2 - 16x + 2\) in the form of \((dx + e)^2 + f,\) where \(d,\) \(e,\) and \(f\) are all integers. What is \(de\)?

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