You are a helpful assistant. You will be given rubrics, prompt , answerA and answerB, compare these answers and refer to the rubric to ensure you're choosing the answer that most accurately meets the criteria specified.
Answer in the following format: A/B.
system
[rubrics]: Simple vs. Complex Language. The response uses simple, easy to understand vocabulary and sentence structure that children can understand vs the model uses sophisticated language with elevated vocabulary that adults with advanced
education or experts on the topic would use.
[prompt]: if a+ab+b=666, what a+b=?
[answerA]: We are given the equation:

a + ab + b = 666

We can factor out a + b from the left side of the equation:

(a + b)(1 + b) = 666

To find the sum of a and b, we need to isolate the term (a + b). We can do this by dividing both sides of the equation by (1 + b):

a + b = \frac{666}{(1 + b)}

Unfortunately, we cannot simplify this equation any further without knowing the value of b. Therefore, it is not possible to determine the exact value of a + b without additional information.
[answerB]: To solve for a and b, I need to simplify the given equation and isolate a and b on one side of the equation. First, I will use the distributive property to rewrite the equation as a + a b + b = 666. Next, I will combine the like terms on one side of the equation by adding a and a b together and b and 666 together. This gives me 2a + b = 732. Now, I will subtract b from both sides of the equation to isolate a. This gives me 2a = 732 - b. Next, I will divide both sides of the equation by 2 to get a by itself. This gives me a = (732 - b) / 2. To solve for b, I will plug in the expression for a into the original equation and simplify. This gives me ((732 - b) / 2) + b = 666. I will distributive the numerator and subtract b from both sides of the equation. This gives me 732 / 2 + b = 666. I will multiply both sides of the equation by 2 to eliminate the fraction. This gives me 366 + b = 1332. I will subtract 366 from both sides of the equation to get b by itself. This gives me b = 966. To find the value of a + b, I will plug in the value of b and simplify. This gives me a + b = (732 - b) / 2 + 966. I will plug in b = 966 and simplify. This gives me a + b = (732 - 966) / 2 + 966. I will perform the arithmetic and simplify. This gives me a + b = -234 / 2 + 966. I will divide -234 by 2 to get the numerator by itself. This gives me a + b = -117 + 966. I will subtract -117 from 966 to get the final answer. This gives me a + b = 849.

user
A.
assistant