
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
Madeline bikes at 12 miles per hour for three hours, while Max bikes at 15 miles per hour for two hours. Determine how many more miles Madeline has biked than Max.

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