
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
Given that Lila's expression was $a\cdot(b-(c\cdot(d-(e/f)))$ and she obtained the correct result by coincidence, evaluate the expression with $a=2$, $b=3$, $c=4$, $d=5$, and $f=6$ to find the value of $e$.

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