
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 person bequeathed an amount of money, slightly less than 1500 dollars, to be distributed as follows. His five children and the notary received amounts such that the square root of the eldest son's share, half of the second son's share, the third son's share minus 2 dollars, the fourth son's share plus 2 dollars, the daughter's share doubled, and the square of the notary's fee were all equal. All heirs and the notary received whole dollar amounts, and all the money was used to pay the shares and the notary's fee. What was the total amount left as inheritance?

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