
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
If \( p = \frac{21^{3}-11^{3}}{21^{2}+21 \times 11+11^{2}} \), find \( p \).

If \( p \) men can do a job in 6 days and 4 men can do the same job in \( q \) days, find \( q \).

If the \( q \)-th day of March in a year is Wednesday and the \( r \)-th day of March in the same year is Friday, where \( 18 < r < 26 \), find \( r \).

If \( a * b = ab + 1 \), and \( s = (3 * 4)^{*} \), find \( s \).

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