
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 Estimable Mathematics Institute is organizing its freshman reception. The new freshman class has fewer than **700** people. When these students are arranged in columns of **20**, the last column contains **19** students. When they line up in columns of **25**, the last column has **24** students. When they line up in columns of **9**, there are **3** students in the last column. How many students are in the freshman class?

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