
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 are a family of  $5$  siblings. They have a pile of at least  $2$  candies and are trying to split them up
amongst themselves. If the  $2$  oldest siblings share the candy equally, they will have  $1$  piece of candy left over.
If the  $3$  oldest siblings share the candy equally, they will also have  $1$  piece of candy left over. If all  $5$  siblings
share the candy equally, they will also have  $1$  piece left over. What is the minimum amount of candy required
for this to be true?

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