
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 tap fills the bathtub in 19 minutes, while a hot water tap fills it in 23 minutes. The hot water tap is turned on. After how many minutes should the cold water tap be turned on so that by the time the bathtub is completely filled, it contains equal amounts of cold and hot water?

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