
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 large academy has an incoming class of fewer than 1000 students. When these students are lined up in columns of 25, there are 18 students in the last column. When lined up in columns of 28, there are 26 students in the last column. How many students are there in the incoming class?

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