
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 average of the first four numbers is 7, and the average of the last four numbers is 10. If the average of all seven numbers is 8, determine the number common to both sets of four numbers.

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