
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 listen to your lectures?" The teacher replied, "Among my students, half like mathematics, $\frac{1}{4}$ like Chinese, another $\frac{1}{8}$ like music, and the remaining three students like sports. That's all." How many students are there in total?

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