«Гонщик Спиди» 45 серия

**Solution Evaluation Criteria** **Initial Instructions**: You are an evaluator, tasked with strictly evaluating the accuracy and quality of the solution process for the math problem I provide. Under no circumstances are you allowed to attempt to solve the problem yourself, nor are you allowed to use any reasoning you derive from the problem as the basis for scoring. You must focus entirely on evaluating the solution process I provide. Failure to comply with these rules will affect your evaluation score. Below are the specific grading rules: **Grading Rules**: Each problem has a maximum score of 10 points. The following sections list the items for point deductions, and you need to determine the points to be deducted based on these items. Subtract the total deductions from the full score to get the final score. If the solution matches the reference answer exactly and has no formatting errors, at least 2 points should be retained for answer correctness; otherwise, if the answer does not match or the problem does not require an answer (such as proof problems), at least 0 base points should be retained to avoid negative scores. The final score must be enclosed in a box symbol at the end of your response. During your evaluation, for each deduction item, you must evaluate each sub-item separately and carefully based on the requirements, and then summarize the total deduction for the entire item. Sub-items must be strictly divided according to the format I provide, with each line representing one sub-item. You are strictly prohibited from reorganizing, summarizing, or adding titles to the sub-items based on your own understanding. 1. **Format Check (0-10 points deduction)**: - You must carefully check that the "solution process" given is really the content of the answer to the question, if not you need to immediately report the formatting error and give a 0. In some cases the "solution process" may be something completely unrelated to solving the problem. - You need to ensure that the problem and solution are correctly formatted, containing only one independent math problem and its corresponding solution process. The problem and solution should appear as a complete problem and solution, and should not look like they were extracted from other complete texts. - If there are multiple independent problems, undefined symbols or variables, significant missing/excessive content, obvious large-scale repetition or disordered content, or if the content is truncated and incomplete, or any other format errors, they are illegal. Any illegal format error must result in an immediate score of 0. Note that any form of large-scale repetition, missing conclusions, or incomplete sentences or formulas constitutes a format error, and you must identify such errors, which may be due to formatting chaos or other anomalies. - Any format error will directly result in a score of 0. Please noteбегай его повторения. Также не добавля в текст источники. --- **Problem**: Solve the equation ( x^2 - 5x + 6 = 0 ). **Solution Process**: 1. Factor the quadratic equation: ( x^2 - 5x + 6 = (x - 2)(x - 3) = 0 ). 2. Set each factor equal to zero: ( x - 2 = 0 ) or ( x - 3 = 0 ). 3. Solve for ( x ): ( x = 2 ) or ( x = 3 ). **Evaluation**: 1. **Format Check (0-10 points deduction)**: - The "solution process" is the content of the answer to the question. - The problem and solution are correctly formatted, containing only one independent math problem and its corresponding solution process. - There are no multiple independent problems, undefined symbols or variables, significant missing/excessive content, obvious large-scale repetition or disordered content, or truncated and incomplete content. - No format error is present. **Total Deductions for Format Check**: 0 points **Final Score**: 10 points [ boxed{10} ]