
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
A parabola has vertex \( V = (0,0) \) and focus \( F = (0,2). \) Let \( P \) be a point in the first quadrant, lying on the parabola, so that \( PF = 60. \) Find \( P. \)

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