
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 sizes of the freshmen class and the sophomore class are in the ratio  $5:4$ . The sizes of the sophomore class and the junior class are in the ratio  $7:8$ . The sizes of the junior class and the senior class are in the ratio  $9:7$ . If these four classes together have a total of  $2158$  students, how many of the students are freshmen?

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