
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
Solve for \( p \) in terms of \( q \) if \( p^2q = pq + p^2 \).
A) \( p = 0 \)
B) \( p = \frac{q^2}{q-1} \)
C) \( p = \frac{q}{q-1} \)
D) \( p = q+1 \)
E) \( p = \frac{q}{q+1} \)

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