
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) Calculate $$\frac {2 A_{ 8 }^{ 5 }+7 A_{ 8 }^{ 4 }}{ A_{ 8 }^{ 8 }- A_{ 9 }^{ 5 }}$$  
(2) Calculate: $C_{ 200 }^{ 198 } + C_{ 200 }^{ 196 } + 2C_{ 200 }^{ 197 }$.

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