
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
Fans trying to find out the age of the soccer star Aaron were told by Aaron teasingly, "As for my age, the cube is a four-digit number, and the square of the square is a six-digit number, which together just happen to include all the digits from 0 to 9." So, Aaron is actually     years old.

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