
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 the point \( M_0 \) to the plane that passes through the three points \( M_1 \), \( M_2 \), and \( M_3 \).

\( M_1 (1, 1, -1) \)

\( M_2 (2, 3, 1) \)

\( M_3 (3, 2, 1) \)

\( M_0 (-3, -7, 6) \)

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