
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
Define a new operation $\star$ such that $\frac{m}{n} \star \frac{p}{q} = (m+1)(p+1)\left(\frac{q+1}{n+1}\right)$. What is the simplified value of $\frac{5}{11} \star \frac{7}{2}$?

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