
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 pile of candies consists of three types of flavors: chocolate, fruit, and milk. If you take away 5 pieces of chocolate candy, the remaining candies can be divided into 2 identical portions; if you take away 2 pieces of fruit candy, the remaining candies can be divided into 3 identical portions; if you take away 3 pieces of milk candy, the remaining candies can be divided into 5 identical portions. What is the minimum number of candies in this pile?

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