
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
Liam has recorded times, in seconds, of 104, 111, 109, 103, and 106 for running 400 meters in his previous five attempts. After his sixth attempt, he managed to bring his median time down to 107 seconds. What was his time, in seconds, for his sixth attempt?

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