
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
The Big Fifteen Basketball Conference has three divisions: North, East, and South. Each division consists of five teams. Each team plays each of the other teams in their division thrice and every team in the other two divisions once. Additionally, each team plays two non-conference games with teams from different non-conference leagues. How many conference and non-conference games are scheduled in total for the conference?

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