
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

Find the error in each of these examples:

a) \( 225 \div 25 + 75 = 100 - 16 \) \( 25 \left( \frac{9}{1+3} \right) = 84 \) \( 25 \cdot 12 = 84 \) \( 25 = 7 \) (?!) 

b) \( 5005 - 2002 = 35 \cdot 143 - 143 \cdot 14 \) \( 5005 - 35 \cdot 143 = 2002 - 143 \cdot 14 \) \( 5 (1001 - 7 \cdot 143) = 2 (1001 - 7 \cdot 143) \) \( 5 = 2 (?) \)

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