
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
A person asked a teacher how many students there were in the class he taught. The teacher said, "Half of the students are studying mathematics, a quarter of the students are studying music, one-seventh of the students are studying foreign languages, and there are fewer than 6 students playing football on the playground." Therefore, there are a total of $\boxed{\text{students}}$ in this class.

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