
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
Al's age is 20 more than the sum of Bob's age and Carl's age, and the square of Al's age is 2000 more than the square of the sum of Bob's age and Carl's age. Calculate the sum of the ages of Al, Bob, and Carl.

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