
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
Bětka wrote down thirty consecutive integers and added them all together. Then she erased the second, fifth, eighth, and every following third number. She added the remaining numbers and found that this new sum is 265 less than the original sum. Determine the first number that Bětka erased.

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