
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
A set of three numbers has both a mean and median equal to 6. If the smallest number in the set is 2, and the largest number does not exceed 10, what is the range of the set of numbers?

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