
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
There is a plate of fruits. When counted in groups of 3, there are 2 left over; when counted in groups of 4, there are 3 left over; when counted in groups of 5, there are 4 left over; and when counted in groups of 6, there are 5 left over. The minimum number of fruits in this plate is $\qquad$.

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