
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
Petya added together several consecutive even numbers. It turned out that the resulting sum is 30 times the largest addend and 90 times the smallest addend. Find which numbers Petya added.

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