
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
In a class, the total numbers of boys and girls are in the ratio  $4 : 3$ . On one day it was found that  $8$  boys and  $14$  girls were absent from the class, and that the number of boys was the square of the number of girls. What is the total number of students in the class?

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