
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
Evaluate \( M \) such that the hyperbolas \[ \frac{x^2}{16} - \frac{y^2}{25} = 1 \] and \[ \frac{y^2}{49} - \frac{x^2}{M} = 1 \] have the same asymptotes.

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