
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
Investigate the following operations involving an even integer $a = 4$ and an odd integer $b = 3$:
1. Addition of $a$ and $b$.
2. Subtraction of $b$ from $a$.
3. Multiplication of $a$ by $b$.
4. Subtraction of $a$ from $b$.
5. Multiplication of $a$ by $a$ and $b$ by $b$.

Determine which of these operations always results in an even integer when performed as stated.
A) 3, 5
B) 1, 4
C) 2, 3
D) All operations

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