
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
From the hot faucet, the bathtub fills in 23 minutes, and from the cold faucet, it fills in 17 minutes. Petya first opened the hot faucet. After how many minutes should he open the cold faucet so that by the time the bathtub is filled, there will be 1.5 times more hot water than cold water?

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