
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
Let H be Harry's age, D be Dick's age, and T be Tom's age. Given that T = 2D and H^2 + 4D = 5T, also H^2 + (7D^2) + 2T^2 = 3H^2, find the value of H^2 - D^2.

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