
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, there are 4 times as many girls as teachers and 6 times as many boys as girls. Including the institute staff members, who are half the number of teachers, express the total population of boys, girls, teachers, and institute staff members using the letters $g$ for girls, $b$ for boys, $t$ for teachers, and $s$ for staff members.
A) $\frac{29t}{2}$
B) $59t$
C) $\frac{59t}{2}$
D) $\frac{58t}{2}$
E) $58t$

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