
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
1. Compute: $\left(\frac{1+i}{1-i}\right)^2 + |3 + 4i| - i^{2017}$, where $i$ is the imaginary unit.
2. Given that $x > 6$, solve the equation $2 \binom{x-3}{x-6} = 5 \binom{x-4}{2}$.

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