
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
Consider $n^* = \frac{1}{n}$ as the reciprocal of $n$. Evaluate the truth of the following statements:

i) $2^* + 8^* = 10^*$
ii) $9^* - 3^* = 6^*$
iii) $10^* \cdot 2^* = 20^*$
iv) $15^* \div 5^* = 3^*$

How many of these statements are true?
A) 0
B) 1
C) 2
D) 3
E) 4

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