
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 school, the number of boys is $4$ times the number of girls, and the number of girls is $8$ times the number of teachers. Represent the total number of boys, girls, and teachers using the characters $b, g, t$ for the number of boys, girls, and teachers respectively.
A) $\frac{42b}{32}$  
B) $\frac{41b}{32}$  
C) $\frac{40b}{32}$  
D) $\frac{39b}{32}$

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