
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 the expression \(a \cdot (b + (c \cdot (d - e)))\), and given that Larry correctly evaluated it by ignoring the parentheses, compute the value of \(e\) that would allow him to maintain his lucky streak after substituting \(2\) for \(a\), \(3\) for \(b\), \(4\) for \(c\), and \(6\) for \(d\), and then adding \(1\) to his final value.

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