
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
The equation of the hyperbola that shares the same foci with the curve $\dfrac{x^2}{24} + \dfrac{y^2}{49} = 1$ and the same asymptotes with the curve $\dfrac{x^2}{36} - \dfrac{y^2}{64} = 1$ is $\dfrac{y^2}{A} - \dfrac{x^2}{B} = 1$.

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