
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
Given that the ordered pair (b, c) of integers, each of which has an absolute value less than or equal to five, is chosen at random, calculate the probability that the quadratic equation $x^2 + bx + c = 0$ will not have any real roots.

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