
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
1. Given that the focal length of an ellipse is 8 and its eccentricity is 0.8, find the standard equation of the ellipse.
2. Find the equation of the hyperbola that shares the same asymptotes with the hyperbola $\frac{y^2}{4} - \frac{x^2}{3} = 1$ and passes through the point $M(3, -2)$.

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