
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
Compute 
$\displaystyle \frac{1\cdot 2 + 2\cdot 4 - 3\cdot 8 + 4\cdot 16 + 5\cdot 32 - 6\cdot 64}{2\cdot 4 + 4\cdot 8 - 6\cdot 16 + 8\cdot 32 + 10\cdot 64 - 12\cdot 128}$.

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