
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
The fraction \(\frac{p}{q}\) is in its simplest form. If \(\frac{7}{10} < \frac{p}{q} < \frac{11}{15}\), where \(q\) is the smallest possible positive integer and \(c = pq\), find the value of \(c\).

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