
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
Pat wrote a strange example on the board:

$$
550+460+359+340=2012 .
$$

Mat wanted to correct it, so he searched for an unknown number to add to each of the five numbers listed, so that the example would be numerically correct. What was that number?

Hint: How many numbers does Mat add to the left side and how many to the right side of the equation?

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