
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
In a certain "Mathematical Problem-Solving Ability Exhibition" preliminary reader selection activity, a total of 12,000 students participated, divided into three groups: junior high school, upper elementary, and middle elementary. The two elementary groups together account for $\frac{15}{16}$ of the total number of students, and those not in the upper elementary group account for $\frac{1}{2}$ of the total number of students. How many students participated in the middle elementary group?

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