
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
The letters of the English alphabet are assigned numeric values based on the following conditions:

- Only the numeric values of $-2,$ $-1,$ $0,$ $1,$ and $2$ are used.
- Starting with A, a numeric value is assigned to each letter based on the pattern:
$$ 1, 2, 1, 0, -1, -2 $$
This cycle repeats throughout the alphabet.

If the letter A has a value of $1,$ B has a value of $2,$ and Z cycles back starting from the value of Y. Calculate the sum of the numeric values of the letters in the word "algebra".

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