
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
Point \( C(0, p) \) lies on the \( y \)-axis between \( Q(0, 15) \) and \( O(0, 0) \). A new point \( D(15, 0) \) is found on the \( x \)-axis. Determine the area of triangle \( COD \) in terms of \( p \), with \( 0 \leq p \leq 15 \). Ensure your answer is simplified as much as possible.

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