
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
Determine which of the following operations will always result in an even integer when applied to integers:
1. Exponentiation of an even integer by any integer.
2. Addition of an even integer and an odd integer.
3. Multiplication of an even integer and an odd integer.
4. Subtracting an odd integer from the product of two even integers.
5. Multiplying two even integers together and then adding an even integer.
A) 1, 2, 3
B) 1, 3, 5
C) 2, 3, 4
D) 3, 4, 5

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