
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
Lucky Larry's teacher asked him to substitute numbers for $a$, $b$, $c$, and $d$ in the expression $a \div (b \div (c \times (d \div e)))$ and evaluate the result. Larry ignored the parentheses but multiplied and divided correctly, and obtained the correct result by coincidence. The numbers Larry substituted for $a$, $b$, $c$, and $d$ were $16$, $2$, $3$, and $12$, respectively. What number did Larry substitute for $e$?
A) 3
B) 6
C) 9
D) 12
E) 18

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