
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
Tracy originally had a bag of candies. She ate $\frac{1}{5}$ of them and then gave $\frac{1}{3}$ of the remaining candies to her friend Sam. Tracy and her dad then each ate 10 candies from what was left. Lastly, Tracy's sister took anywhere from two to six candies, leaving Tracy with five candies. How many candies did Tracy start with?

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