
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 initially had a bag of candies. She first ate $\frac{1}{4}$ of the candies, then gave $\frac{1}{3}$ of the remaining candies to her friend Rachel. After that, Tracy and her mom each ate 12 candies from what was left. Tracy's brother then took between two to six candies, which left Tracy with 5 remaining candies. How many candies did Tracy start with?

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