
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]


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The National University of Mathematics is organizing an orientation session for its new batch of students. The number of new students is less than $600$. When the students form columns of $25$, $24$ students remain in the last column. When formed into columns of $19$, $18$ students remain in the last column. How many students are there in the new batch?

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