
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 ellipse $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1$, find the standard equation of the parabola that has the center of the ellipse as its vertex and the right focus of the ellipse as its focus.

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