
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
Given that the standard deviation of the numbers $a\_1$, $a\_2$, $a\_3$, $a\_4$, $a\_5$ is $2$, find the variance of the numbers $3a\_1-2$, $3a\_2-2$, $3a\_3-2$, $3a\_4-2$, $3a\_5-2$.

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