
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
Given the parabola C: x²=2py (p>0), where P is a point on the parabola, the tangent line at point P intersects the y-axis at point Q, and F is the focus of the parabola C. If |PF|=5, determine the value of |QF|.

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