
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
Find the distance from point \( M_{0} \) to the plane passing through three points \( M_{1}, M_{2}, M_{3} \).

\( M_{1}(-1, -5, 2) \)  
\( M_{2}(-6, 0, -3) \)  
\( M_{3}(3, 6, -3) \)  
\( M_{0}(10, -8, -7) \)

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