
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
An inheritance of $1320 was left by one person to his three sons and a hospital. If the portion of the inheritance allocated to the hospital had also gone to the oldest son, he would have received as much as his two brothers combined. If the hospital's portion were added to the middle son's inheritance, he would have received twice as much as his two brothers combined. Lastly, if the hospital's portion were added to the youngest son's inheritance, he would have received three times as much as his two brothers combined. How many dollars did each of the sons receive, and what was the amount bequeathed to the hospital?

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