
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 bag for a bingo game, there are 90 barrels numbered from 1 to 90. What is the minimum number of barrels that need to be randomly drawn from the bag to guarantee getting a barrel with a number divisible by 3 or 5 (or both 3 and 5)?

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