
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
Let $n^*$ represent $\frac{1}{n}$, the reciprocal of $n$. Determine the number of true statements among the following:

i) $4^* + 8^* = 12^*$
ii) $9^* - 3^* = 6^*$
iii) $5^* \cdot 10^* = 50^*$
iv) $16^* \div 4^* = 4^*$
A) 0 
B) 1 
C) 2 
D) 3 
E) 4

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