
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 \( p \neq 0 \) or \( 5 \) and \( q \neq 0 \) or \( 7 \), solve the equation \( \frac{3}{p} + \frac{5}{q} = \frac{1}{3} \) for \( p \) in terms of \( q \), or for \( q \) in terms of \( p \), or express the equation in a form other than the given one.

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