
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
A hockey team played eight games, scoring 1, 2, 3, 4, 5, 6, 7, and 8 goals. They lost by two goals in exactly three games. In the other games, their goals were either half or twice as many as their opponent's goals. How many total goals did their opponents score?
A) 48
B) 52
C) 56
D) 60
E) 64

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