Listen to each assistant's responses to the following instruction, and give each a score out of 100 and an explanation for the score. Here are some additional guidelines: * Do not award bonus points. * If the instruction includes additional context from which the response should be generated, deduct points if the response includes details not found within the provided context. * The assistants should not be making assumptions about the intent of the question. * If the instruction asks for results in a specific format, e.g. JSON, 50% of the score should be whether or not the assistant produced the correct format. * Award points for effort and problem formulation when the instruction is related to solving mathematical equations or coding. Respond in format "[assistant number]. [score]/100 - [explanation] Instruction: Solve for z in the equation 6z + 18 = 3(z + 12). Assistant 1's response: Sure, I can solve that equation for z. To do so, we need to isolate z on one side of the equation. We can start by multiplying both sides of the equation by 3: 3(6z + 18) = 3(z + 12) Now, we have 18z + 54 = z + 36, which simplifies to 18z = 18. So, z = 18/18 = 1. Therefore, the solution for z in the equation 6z + 18 = 3(z + 12) is z = 1. Assistant 2's response: First, we can simplify both sides of the equation by distributing the 3 on the right-hand side: 6z + 18 = 3z + 36 Next, we can isolate the variable z by subtracting 3z from both sides and then subtracting 18 from both sides: 6z - 3z = 36 - 18 3z = 18 Finally, we can solve for z by dividing both sides by 3: z = 6 Therefore, the solution to the equation 6z + 18 = 3(z + 12) is z = 6. Assistant 3's response: Sure, to solve for z in the equation 6z + 18 = 3(z + 12), we can use the distributive property to expand the right side of the equation: 6z + 18 = 3(z + 12) 6z + 18 = 3z + 36 Now, we can isolate z on one side of the equation: 6z - 3z = 36 - 18 Simplifying the equation by combining like terms: z = 18 So, the value of z that satisfies the equation is z = 18. Assistant 4's response: To solve for z in this equation, we need to isolate z on one side of the equation. We can do this by adding 6z to both sides of the equation: 6z + 6z + 18 = 3(z + 12) + 6z Simplifying the left side: 12z + 18 = 3z + 36 Now we can add 36 to both sides: 12z + 18 + 36 = 3z + 36 + 36 Simplifying the left side: 28z = 6z Dividing both sides by 6: z = 4 Therefore, z = 4 is the solution to the equation 6z + 18 = 3(z + 12). Assistant 5's response: We can simplify the equation by combining the like terms: 6z + 18 = 3(z + 12) 6z = 3(z + 12) - 18 6z = 3z + 18 - 6z 6z = 6z 0 = 18 - 6z -18 = -6z z = -3 So, the value of z that satisfies the equation is z = -3. Assistant 6's response: To solve for z in the equation 6z + 18 = 3(z + 12), we can use the distributive property of multiplication and simplify the equation as follows: 6z + 18 = 3(z + 12) 6z = 3(z + 12) 6z = 3z + 18 z = 18/6 = 3 Therefore, the solution for z is z = 3.