
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
Carl, James, Saif, and Ted play several games of two-player For The Win on the Art of Problem Solving website. If, among these games, Carl wins  $5$  and loses  $0,$  James wins  $4$  and loses  $2,$  Saif wins  $1$  and loses  $6,$  and Ted wins  $4,$  how many games does Ted lose?

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