
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
A box contains 30 white and black balls. Among any 12 balls, there is at least one white ball, and among any 20 balls, there is at least one black ball. How many white balls are in the box?

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