
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
Assume $n^*$ stands for squaring the number $n$ and then taking the reciprocal, i.e., $n^{*} = \frac{1}{n^2}$. Determine how many of the following statements are true:

i) $4^* + 9^* = 13^*$
ii) $8^* - 1^* = 7^*$
iii) $3^* \cdot 6^* = 18^*$
iv) $16^*\div 4^* = 4^*$
A) 0
B) 1
C) 2
D) 3
E) 4

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