
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
Express the following sum as a simple fraction in lowest terms:

$$\frac{1}{1^2 \times 2^2} + \frac{1}{2^2 \times 3^2} + \frac{1}{3^2 \times 4^2} + \frac{1}{4^2 \times 5^2} + \frac{1}{5^2 \times 6^2} + \frac{1}{6^2 \times 7^2}$$

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