
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
A cold water faucet fills a bathtub in 17 minutes, and a hot water faucet in 23 minutes. The hot water faucet is turned on. After how many minutes should the cold water faucet be turned on so that by the time the bathtub is completely filled, the amounts of cold and hot water in it are equal?

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