
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
Consider the first 30 rows of Pascal's triangle. Rows $4$ and $8$ comprise only even numbers except for the $1$s at each end, as does row $2$. Determine how many of the first 30 rows exhibit this property of consisting only of even numbers (again, excluding row $0$ and $1$).

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