
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
Distance from the point (2,4,1) to the plane x+2y+2z+3=0 is given by the formula d=\frac{|Ax_{0}+By_{0}+C|}{\sqrt{A^{2}+B^{2}+C^{2}}}. Calculate the distance.

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