
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
More than 25 students are in Mr. Anderson's class. He has more than 2 but fewer than 10 boys, and more than 14 but fewer than 23 girls in his class. How many different class sizes would satisfy these conditions?

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