
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 $j$ be an imaginary unit such that $j^2 = -1$. Calculate the inverse of $(3j - 3^{-1}j^{-1})$.
**A)** $-\frac{3}{10} \qquad$ **B)** $-\frac{3j}{10} \qquad$ **C)** $\frac{3j}{10} \qquad$ **D)** $-\frac{10j}{3}$

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