
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
If the major axis of an ellipse is three times the length of its minor axis, and the focal distance is 8, then the standard equation of this ellipse is \_\_\_\_\_\_.

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