
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
Observe the pattern in the following equations:
$$
\begin{array}{l}
1 \times 2+2 \times 3=2 \times 2 \times 2 \\
2 \times 3+3 \times 4=2 \times 3 \times 3 \\
3 \times 4+4 \times 5=2 \times 4 \times 4 \\
4 \times 5+5 \times 6=2 \times 5 \times 5
\end{array}
$$

Use this pattern to calculate: $75 \times 222+76 \times 225-25 \times 14 \times 15-25 \times 15 \times 16=$

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