
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, and none of the candies could be broken into pieces. She ate \(\frac{1}{4}\) of them and then gave \(\frac{1}{3}\) of what remained to her friend Rachel. Tracy and her mom then each ate 20 candies from what Tracy had left. Finally, Tracy's brother took somewhere from two to six candies, leaving Tracy with five candies. How many candies did Tracy have at the start?

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