
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
In a triangle where each side length is an integer, the sum of the sides is 240. The difference between three times the length of the largest side and twice the sum of the other two sides is 10 more than five times the length of the shortest side. What are the lengths of the sides?

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