
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 had a bag of candies. She first ate $\frac{1}{4}$ of them and then gave $\frac{1}{3}$ of the remaining candies to her friend Rachel. Afterward, her mom and Tracy each ate 10 candies. Her cousin then took one to three candies, leaving Tracy with exactly 5 candies. How many candies did Tracy have at the beginning?

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