
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
Simplify the following fractions:

1. 
2. 

$$
\frac{a^{4}-b^{4}}{a^{2}-b^{2}}
$$

3. 

$$
\frac{a^{2}+a-90}{a^{2}+2a-99}
$$

$$
\frac{2a^{3}-70a^{2}+2a+3}{2a^{3}-9a^{2}+10a-3}
$$

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