Dataset Viewer
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{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '두 실수 $p>1$와 $q>1$가 $\\frac{1}{p} + \\frac{1}{q} = 1$를 만족할 때, $(p-1)(q-1)$의 값은 무엇인가?', 'options': None, 'answer': 1.0, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': 'Algebra', 'additional_info': {'original': 'Given two real numbers $p>1$ and $q>1$ so that $\\frac{1}{p} + \\frac{1}{q} = 1$, what is the value of $(p-1)(q-1)$?', 'original_answer': {}, 'query_initial': '두 실수 $p>1$ 와 $q>1$ 가 $\\frac{1}{p} + \\frac{1}{q} = 1$ 를 만족할 때, $(p-1)(q-1)$ 의 값은 무엇인가?', 'level': 'Level 2'}}
|
두 실수 $p>1$와 $q>1$가 $\frac{1}{p} + \frac{1}{q} = 1$를 만족할 때, $(p-1)(q-1)$의 값은 무엇인가?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 두 실수 $p>1$와 $q>1$가 $\frac{1}{p} + \frac{1}{q} = 1$를 만족할 때, $(p-1)(q-1)$의 값은 무엇인가?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 두 실수 $p>1$와 $q>1$가 $\\frac{1}{p} + \\frac{1}{q} = 1$를 만족할 때, $(p-1)(q-1)$의 값은 무엇인가?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 두 실수 $p>1$와 $q>1$가 $\frac{1}{p} + \frac{1}{q} = 1$를 만족할 때, $(p-1)(q-1)$의 값은 무엇인가?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
The given query is a mathematical problem involving two real numbers \( p \) and \( q \) that satisfy the equation \( \frac{1}{p} + \frac{1}{q} = 1 \). The task is to find the value of \( (p-1)(q-1) \).
### Task Type:
- **Reasoning**: This query requires logical and mathematical reasoning to solve the equation and find the desired value. It is not merely a recall of knowledge but involves steps to manipulate and solve the given mathematical expression.
### Target Type:
- **General**: The query is written in Korean, but the mathematical content is universal and not specific to any particular country or cultural region. Therefore, it targets a general audience interested in mathematics.
### Subject Type:
- **Science/Math**: The query is directly related to mathematics, specifically dealing with algebraic manipulation and properties of real numbers.
### Rationale:
The query involves solving a mathematical problem that requires reasoning to manipulate and solve the given equation. The target audience is general because the mathematical content is universally applicable. The subject area is clearly mathematics, as it involves algebraic expressions and properties of real numbers.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves mathematical reasoning to solve an equation involving two variables. It requires understanding and manipulating algebraic expressions to find the value of \((p-1)(q-1)\) given the condition \(\frac{1}{p} + \frac{1}{q} = 1\). This type of problem falls under the category of reasoning because it requires logical steps and mathematical manipulation to derive the solution.
Category: {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
1 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': 'Benny는 각각의 빨간 풍선에 두 조각의 볼로냐를 던졌고, 각각의 노란 풍선에 세 조각의 볼로냐를 던졌습니다. Benny가 빨간색과 노란색 풍선 묶음에 58 조각의 볼로냐를 던졌고, 그중 20개의 풍선이 빨간색이라면, 묶음 속의 노란 풍선은 몇 개입니까?', 'options': None, 'answer': 6.0, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'Benny threw bologna at his balloons. He threw two pieces of bologna at each red balloon and three pieces of bologna at each yellow balloon. If Benny threw 58 pieces of bologna at a bundle of red and yellow balloons, and twenty of the balloons were red, then how many of the balloons in the bundle were yellow?', 'original_answer': {}, 'query_initial': None, 'level': None}}
|
Benny는 각각의 빨간 풍선에 두 조각의 볼로냐를 던졌고, 각각의 노란 풍선에 세 조각의 볼로냐를 던졌습니다. Benny가 빨간색과 노란색 풍선 묶음에 58 조각의 볼로냐를 던졌고, 그중 20개의 풍선이 빨간색이라면, 묶음 속의 노란 풍선은 몇 개입니까?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: Benny는 각각의 빨간 풍선에 두 조각의 볼로냐를 던졌고, 각각의 노란 풍선에 세 조각의 볼로냐를 던졌습니다. Benny가 빨간색과 노란색 풍선 묶음에 58 조각의 볼로냐를 던졌고, 그중 20개의 풍선이 빨간색이라면, 묶음 속의 노란 풍선은 몇 개입니까?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: Benny는 각각의 빨간 풍선에 두 조각의 볼로냐를 던졌고, 각각의 노란 풍선에 세 조각의 볼로냐를 던졌습니다. Benny가 빨간색과 노란색 풍선 묶음에 58 조각의 볼로냐를 던졌고, 그중 20개의 풍선이 빨간색이라면, 묶음 속의 노란 풍선은 몇 개입니까?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: Benny는 각각의 빨간 풍선에 두 조각의 볼로냐를 던졌고, 각각의 노란 풍선에 세 조각의 볼로냐를 던졌습니다. Benny가 빨간색과 노란색 풍선 묶음에 58 조각의 볼로냐를 던졌고, 그중 20개의 풍선이 빨간색이라면, 묶음 속의 노란 풍선은 몇 개입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
### Rationale:
1. **Task Type: Reasoning**
- The query involves a mathematical problem that requires logical thinking and problem-solving skills to determine the number of yellow balloons. It is not simply recalling a fact but involves reasoning through the given information to find the solution.
2. **Target Type: General**
- The query is presented in Korean, but the mathematical problem itself is universal and does not pertain to any specific cultural or regional context. Therefore, it is categorized as 'General'.
3. **Subject Type: Science/Math**
- The problem involves basic arithmetic and algebra, which are fundamental components of mathematics. The task requires setting up and solving equations based on the given conditions, which falls under the category of 'Science/Math'.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: This query involves a mathematical problem that requires logical reasoning to solve. The problem presents a scenario where Benny throws streamers at balloons of different colors and asks for the number of yellow balloons based on given conditions. To solve this, one must use reasoning skills to set up and solve equations based on the given information. Therefore, the task type is 'reasoning'. The query is written in Korean, but the problem itself is general and not specific to any cultural context, so the target type is 'general'. The subject matter involves basic arithmetic and algebra, which falls under 'Science/Math'. Hence, the subject type is 'Science/Math'.
</r>
###Final Response:
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
2 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '양의 정수 $n$이 주어졌을 때, Pretty Penny가 25센트, 10센트, 5센트, 1센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $P_{n}$이라 하자. 또한, Beautiful Bill이 1달러 지폐, 25센트, 10센트, 5센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $B_{n}$이라 하자. $n$이 무한대로 갈 때, 분수열 $\\frac{P_{n}}{B_{n}}$가 실수 $c$에 수렴한다고 할 때, $c$를 구하시오.', 'options': None, 'answer': 20, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'Let $n$ be a positive integer. Let there be $P_{n}$ ways for Pretty Penny to make exactly $n$ dollars out of quarters, dimes, nickels, and pennies. Also, let there be $B_{n}$ ways for Beautiful Bill to make exactly $n$ dollars out of one dollar bills, quarters, dimes, and nickels. As $n$ goes to infinity, the sequence of fractions \\frac{P_{n}}{B_{n}}$ approaches a real number $c$. Find $c$.', 'original_answer': {}, 'query_initial': '양의 정수 $n$이 주어졌을 때, Pretty Penny가 25센트, 10센트, 5센트, 1센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $P_{n}$이라 하자. 또한, Beautiful Bill이 1달러 지폐, 25센트, 10센트, 5센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $B_{n}$이라 하자. $n$이 무한대로 갈 때, 분수열 $\\frac{P_{n}}{B_{n}}$가 실수 $c$에 수렴한다고 할 때, $c$를 구하시오.', 'level': 4.5}}
|
양의 정수 $n$이 주어졌을 때, Pretty Penny가 25센트, 10센트, 5센트, 1센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $P_{n}$이라 하자. 또한, Beautiful Bill이 1달러 지폐, 25센트, 10센트, 5센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $B_{n}$이라 하자. $n$이 무한대로 갈 때, 분수열 $\frac{P_{n}}{B_{n}}$가 실수 $c$에 수렴한다고 할 때, $c$를 구하시오.
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 양의 정수 $n$이 주어졌을 때, Pretty Penny가 25센트, 10센트, 5센트, 1센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $P_{n}$이라 하자. 또한, Beautiful Bill이 1달러 지폐, 25센트, 10센트, 5센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $B_{n}$이라 하자. $n$이 무한대로 갈 때, 분수열 $\frac{P_{n}}{B_{n}}$가 실수 $c$에 수렴한다고 할 때, $c$를 구하시오.
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 양의 정수 $n$이 주어졌을 때, Pretty Penny가 25센트, 10센트, 5센트, 1센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $P_{n}$이라 하자. 또한, Beautiful Bill이 1달러 지폐, 25센트, 10센트, 5센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $B_{n}$이라 하자. $n$이 무한대로 갈 때, 분수열 $\\frac{P_{n}}{B_{n}}$가 실수 $c$에 수렴한다고 할 때, $c$를 구하시오."}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 양의 정수 $n$이 주어졌을 때, Pretty Penny가 25센트, 10센트, 5센트, 1센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $P_{n}$이라 하자. 또한, Beautiful Bill이 1달러 지폐, 25센트, 10센트, 5센트를 사용하여 정확히 $n$ 달러를 만드는 경우의 수를 $B_{n}$이라 하자. $n$이 무한대로 갈 때, 분수열 $\frac{P_{n}}{B_{n}}$가 실수 $c$에 수렴한다고 할 때, $c$를 구하시오.
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
### Rationale:
1. **Task Type**:
- The query involves calculating the limit of a sequence as \( n \) approaches infinity, which requires mathematical reasoning and problem-solving skills. This is not a straightforward knowledge-based question but involves logical and analytical thinking to derive the solution.
- Therefore, the task type is categorized as **Reasoning**.
2. **Target Type**:
- The query is written in Korean, but the mathematical problem itself is universal and does not specifically target any particular country or cultural region. It can be understood and solved by anyone with the appropriate mathematical background.
- Hence, the target type is categorized as **General**.
3. **Subject Type**:
- The query deals with a mathematical problem involving sequences, limits, and fractions, which falls under the domain of mathematics.
- Therefore, the subject type is categorized as **Science/Math**.
In conclusion, the appropriate category for the given query is:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves a mathematical problem that requires understanding and applying concepts of combinatorics and limits. The problem is not about factual knowledge but rather about reasoning through the given conditions and deriving a solution. The context is purely mathematical, focusing on the behavior of sequences and their convergence. Therefore, the appropriate category for this query is:
- **task_type**: Reasoning
- **target_type**: General
- **subject_type**: Science/Math
**Rationale**: The query is a reasoning-based mathematical problem that involves understanding and applying combinatorial and limit concepts to find the value of a convergent sequence. It does not target any specific country or cultural region and is purely focused on mathematical reasoning and knowledge.
</r>
###Final Response:
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
3 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '서랍에 빨간 양말 두 개, 검정 양말 두 개, 흰 양말 두 개, 그리고 개수는 양수이나 알 수 없는 파란 양말이 있습니다. 서랍에서 양말 두 개를 꺼낼 때, 같은 색 양말일 확률이 $\\frac{1}{5}$라는 것이 경험적으로 확인되었습니다. 서랍에 있는 파란 양말은 몇 개인가요?', 'options': None, 'answer': 4, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'There are two red, two black, two white, and a positive but unknown number of blue socks in a drawer. It is empirically determined that if two socks are taken from the drawer without replacement, the probability they are of the same color is $\\frac{1}{5}$. How many blue socks are there in the drawer?', 'original_answer': {}, 'query_initial': '서랍에 빨간 양말 두 개, 검정 양말 두 개, 흰 양말 두 개, 그리고 개수는 양수이나 알 수 없는 파란 양말이 있습니다. 서랍에서 양말 두 개를 꺼낼 때, 같은 색 양말일 확률이 $\\frac{1}{5}$라는 것이 경험적으로 확인되었습니다. 서랍에 있는 파란 양말은 몇 개인가요?', 'level': 3.5}}
|
서랍에 빨간 양말 두 개, 검정 양말 두 개, 흰 양말 두 개, 그리고 개수는 양수이나 알 수 없는 파란 양말이 있습니다. 서랍에서 양말 두 개를 꺼낼 때, 같은 색 양말일 확률이 $\frac{1}{5}$라는 것이 경험적으로 확인되었습니다. 서랍에 있는 파란 양말은 몇 개인가요?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 서랍에 빨간 양말 두 개, 검정 양말 두 개, 흰 양말 두 개, 그리고 개수는 양수이나 알 수 없는 파란 양말이 있습니다. 서랍에서 양말 두 개를 꺼낼 때, 같은 색 양말일 확률이 $\frac{1}{5}$라는 것이 경험적으로 확인되었습니다. 서랍에 있는 파란 양말은 몇 개인가요?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 서랍에 빨간 양말 두 개, 검정 양말 두 개, 흰 양말 두 개, 그리고 개수는 양수이나 알 수 없는 파란 양말이 있습니다. 서랍에서 양말 두 개를 꺼낼 때, 같은 색 양말일 확률이 $\\frac{1}{5}$라는 것이 경험적으로 확인되었습니다. 서랍에 있는 파란 양말은 몇 개인가요?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 서랍에 빨간 양말 두 개, 검정 양말 두 개, 흰 양말 두 개, 그리고 개수는 양수이나 알 수 없는 파란 양말이 있습니다. 서랍에서 양말 두 개를 꺼낼 때, 같은 색 양말일 확률이 $\frac{1}{5}$라는 것이 경험적으로 확인되었습니다. 서랍에 있는 파란 양말은 몇 개인가요?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
### Rationale:
1. **Task Type**:
- The query involves calculating the probability of drawing two socks of the same color from a drawer with a specific distribution of socks. This requires logical and mathematical reasoning to solve, as it involves understanding and applying principles of probability.
- Therefore, the task type is classified as **'Reasoning'**.
2. **Target Type**:
- The query is written in Korean, which indicates that it is targeting a Korean-speaking audience.
- Hence, the target type is classified as **'ko'**.
3. **Subject Type**:
- The content of the query involves a mathematical problem related to probability, which falls under the category of mathematics.
- Therefore, the subject type is classified as **'Science/Math'**.
### Final Category:
- **Task Type**: Reasoning
- **Target Type**: ko
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves a probability problem that requires logical reasoning to solve. The problem is presented in a context that involves counting and probability, which are fundamental concepts in mathematics. The task is to determine the number of blue socks in the drawer based on the given probability and the number of other colored socks. This type of problem falls under the category of reasoning because it requires the application of mathematical principles and logical deduction to arrive at the solution. The query is written in Korean, but the mathematical principles involved are universal, making it applicable to a general audience. The subject area is clearly related to mathematics, as it involves calculating probabilities and understanding the implications of given data. Therefore, the appropriate category for this query is {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
4 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': ' $x(x-3)=1$의 해를 $\\frac{a+\\sqrt{b}}{c}$와 $\\frac{a-\\sqrt{b}}{c}$ 형태로 나타낼 수 있을 때, 이때 $a$, $b$, $c$는 소수이다. $abc$를 구하시오. ', 'options': None, 'answer': 78.0, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': 'Algebra', 'additional_info': {'original': 'The solutions of $x(x-3)=1$ may be expressed in the form $\\frac{a+\\sqrt{b}}{c}$ and $\\frac{a-\\sqrt{b}}{c}$, where $a$, $b$, and $c$ are prime numbers. Find $abc$.', 'original_answer': {}, 'query_initial': '$x(x-3)=1$의 해를 $\\frac{a+\\sqrt{b}}{c}$와 $\\frac{a-\\sqrt{b}}{c}$ 형태로 나타낼 수 있을 때, 여기서 $a$, $b$, $c$는 소수이다. $abc$를 구하시오.', 'level': 'Level 4'}}
|
$x(x-3)=1$의 해를 $\frac{a+\sqrt{b}}{c}$와 $\frac{a-\sqrt{b}}{c}$ 형태로 나타낼 수 있을 때, 이때 $a$, $b$, $c$는 소수이다. $abc$를 구하시오.
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $x(x-3)=1$의 해를 $\frac{a+\sqrt{b}}{c}$와 $\frac{a-\sqrt{b}}{c}$ 형태로 나타낼 수 있을 때, 이때 $a$, $b$, $c$는 소수이다. $abc$를 구하시오.
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: $x(x-3)=1$의 해를 $\\frac{a+\\sqrt{b}}{c}$와 $\\frac{a-\\sqrt{b}}{c}$ 형태로 나타낼 수 있을 때, 이때 $a$, $b$, $c$는 소수이다. $abc$를 구하시오. "}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $x(x-3)=1$의 해를 $\frac{a+\sqrt{b}}{c}$와 $\frac{a-\sqrt{b}}{c}$ 형태로 나타낼 수 있을 때, 이때 $a$, $b$, $c$는 소수이다. $abc$를 구하시오.
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
The query provided is a mathematical problem that involves solving a quadratic equation and expressing the solutions in a specific form. Here's the rationale for categorizing it:
1. **Task Type**:
- The query requires solving a mathematical equation and involves logical steps and algebraic manipulation to find the solution. This falls under the category of reasoning-based questions as it requires logical reasoning and problem-solving skills.
- **Reasoning** is chosen because the task involves deriving a solution through logical steps and mathematical reasoning.
2. **Target Type**:
- The query is written in Korean, but the mathematical problem itself is universal and not specific to any particular country or cultural region.
- **General** is chosen because the mathematical content is universally applicable and not specific to any particular country or cultural region.
3. **Subject Type**:
- The query is directly related to solving a mathematical equation, which falls under the domain of mathematics.
- **Science/Math** is chosen because the query involves mathematical concepts and problem-solving.
Therefore, the appropriate category for the query is:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves solving a mathematical equation and expressing the solution in a specific form. It requires understanding and applying algebraic concepts, which falls under reasoning-based questions. The context is general as it does not target any specific country or cultural region. The subject area is clearly related to mathematics, specifically algebra. Therefore, the appropriate category is {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
5 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '18미터와 24미터 길이의 두 밧줄을 모두 같은 길이의 조각으로 잘라야 합니다. 각 조각의 최대 가능한 길이는 얼마입니까?', 'options': None, 'answer': 6.0, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': 'Prealgebra', 'additional_info': {'original': 'Two ropes, 18 meters in length and 24 meters in length, need to be cut into pieces which are all the same length. What is the greatest possible length of each piece?', 'original_answer': {}, 'query_initial': '18미터와 24미터 길이의 두 밧줄을 모두 같은 길이의 조각으로 잘라야 합니다. 각 조각의 가능한 최대 길이는 얼마입니까?', 'level': 'Level 2'}}
|
18미터와 24미터 길이의 두 밧줄을 모두 같은 길이의 조각으로 잘라야 합니다. 각 조각의 최대 가능한 길이는 얼마입니까?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 18미터와 24미터 길이의 두 밧줄을 모두 같은 길이의 조각으로 잘라야 합니다. 각 조각의 최대 가능한 길이는 얼마입니까?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 18미터와 24미터 길이의 두 밧줄을 모두 같은 길이의 조각으로 잘라야 합니다. 각 조각의 최대 가능한 길이는 얼마입니까?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 18미터와 24미터 길이의 두 밧줄을 모두 같은 길이의 조각으로 잘라야 합니다. 각 조각의 최대 가능한 길이는 얼마입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
### Rationale:
#### Task Type:
- **Reasoning**: The query involves determining the maximum possible length of each piece when cutting two ropes of different lengths into equal pieces. This requires logical thinking and mathematical reasoning to find the greatest common divisor (GCD) of the two lengths.
#### Target Type:
- **General**: The query is written in Korean, but the mathematical problem it presents is universal and not specific to any particular country or cultural region. Therefore, it targets a general audience.
#### Subject Type:
- **Science/Math**: The query is related to mathematics, specifically the concept of finding the greatest common divisor (GCD) to solve the problem of dividing the ropes into equal pieces. This falls under the category of Science/Math.
### Conclusion:
The query involves reasoning to solve a mathematical problem, targets a general audience, and is related to the subject of mathematics.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves determining the maximum possible length of each piece when cutting two ropes of different lengths into equal pieces. This requires the application of mathematical reasoning to find the greatest common divisor (GCD) of the two lengths. Therefore, the task type is 'reasoning' because it involves logical and mathematical reasoning to solve the problem. The target type is 'general' as the query does not specify any particular country or cultural region. The subject type is 'Science/Math' because the problem is related to mathematics, specifically the concept of the greatest common divisor (GCD).
Rationale: The query requires mathematical reasoning to determine the greatest common divisor (GCD) of two lengths, which involves logical steps and calculations. This makes the task type 'reasoning'. The query does not target any specific country or cultural region, so the target type is 'general'. The subject matter is related to mathematics, specifically the concept of GCD, which falls under 'Science/Math'. Therefore, the appropriate category is {'task_type': 'reasoning', 'target_type': 'general', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
6 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '정수 636405는 두 자리 양의 정수 세 개의 곱으로 표현될 수 있습니다. 이 세 정수의 합은 얼마입니까?', 'options': None, 'answer': 259, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'The integer 636405 may be written as the product of three 2-digit positive integers. What is the sum of these three integers?', 'original_answer': {}, 'query_initial': '정수 636405는 두 자리 양의 정수 세 개의 곱으로 표현될 수 있습니다. 이 세 정수의 합은 얼마입니까?', 'level': 2.0}}
|
정수 636405는 두 자리 양의 정수 세 개의 곱으로 표현될 수 있습니다. 이 세 정수의 합은 얼마입니까?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 정수 636405는 두 자리 양의 정수 세 개의 곱으로 표현될 수 있습니다. 이 세 정수의 합은 얼마입니까?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 정수 636405는 두 자리 양의 정수 세 개의 곱으로 표현될 수 있습니다. 이 세 정수의 합은 얼마입니까?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 정수 636405는 두 자리 양의 정수 세 개의 곱으로 표현될 수 있습니다. 이 세 정수의 합은 얼마입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
The query "정수 636405는 두 자리 양의 정수 세 개의 곱으로 표현될 수 있습니다. 이 세 정수의 합은 얼마입니까?" translates to "The integer 636405 can be expressed as the product of three two-digit positive integers. What is the sum of these three integers?"
### Rationale:
1. **Task Type**:
- The query requires the solver to determine the three two-digit integers whose product is 636405 and then find their sum. This involves mathematical reasoning and problem-solving skills to factorize the number and check the conditions.
- Therefore, the task type is 'Reasoning'.
2. **Target Type**:
- The query is written in Korean, but it does not specifically target Korean culture or context. It is a general mathematical problem that can be understood and solved universally.
- Therefore, the target type is 'General'.
3. **Subject Type**:
- The query involves mathematical concepts such as factorization and arithmetic operations.
- Therefore, the subject type is 'Science/Math'.
Given the above analysis, the appropriate category for the query is:
Category: {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves determining the sum of three two-digit positive integers whose product is 636405. This requires mathematical reasoning to find the correct combination of numbers that satisfy the given condition. Therefore, the task type is classified as 'reasoning'. The query is written in Korean, but it does not specifically target Korean culture or context, so the target type is 'general'. The subject area is clearly related to mathematics, as it involves integer properties and factorization, which falls under 'Science/Math'. Thus, the appropriate category is {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
7 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': ' $M$을 2014!을 나누는 양의 정수의 수라고 하고, $N$을 $\\ln (M)$에 가장 가까운 정수라고 하자. $N$의 값을 추정하라. 만약 당신의 정답이 양의 정수 $A$라면, 이 문제에서의 점수는 $0$과 $\\left\\lfloor 20-\\frac{1}{8}|A-N|\\right\\rfloor$ 중 큰 값을 따르게 된다. 그렇지 않으면 점수는 0이 된다. ', 'options': None, 'answer': 439, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'Let $M$ denote the number of positive integers which divide 2014!, and let $N$ be the integer closest to $\\ln (M)$. Estimate the value of $N$. If your answer is a positive integer $A$, your score on this problem will be the larger of 0 and $\\left\\lfloor 20-\\frac{1}{8}|A-N|\\right\\rfloor$. Otherwise, your score will be zero.', 'original_answer': {}, 'query_initial': '$M$을 2014!을 나누는 양의 정수의 수라고 하고, $N$을 $\\ln (M)$에 가장 가까운 정수라고 하자. $N$의 값을 추정하라. 만약 당신의 정답이 양의 정수 $A$라면, 이 문제에서의 점수는 $0$과 $\\left\\lfloor 20-\\frac{1}{8}|A-N|\\right\\rfloor$ 중 큰 값을 따르게 된다. 그렇지 않으면 점수는 $0$이 된다.', 'level': 5.0}}
|
$M$을 2014!을 나누는 양의 정수의 수라고 하고, $N$을 $\ln (M)$에 가장 가까운 정수라고 하자. $N$의 값을 추정하라. 만약 당신의 정답이 양의 정수 $A$라면, 이 문제에서의 점수는 $0$과 $\left\lfloor 20-\frac{1}{8}|A-N|\right\rfloor$ 중 큰 값을 따르게 된다. 그렇지 않으면 점수는 0이 된다.
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $M$을 2014!을 나누는 양의 정수의 수라고 하고, $N$을 $\ln (M)$에 가장 가까운 정수라고 하자. $N$의 값을 추정하라. 만약 당신의 정답이 양의 정수 $A$라면, 이 문제에서의 점수는 $0$과 $\left\lfloor 20-\frac{1}{8}|A-N|\right\rfloor$ 중 큰 값을 따르게 된다. 그렇지 않으면 점수는 0이 된다.
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: $M$을 2014!을 나누는 양의 정수의 수라고 하고, $N$을 $\\ln (M)$에 가장 가까운 정수라고 하자. $N$의 값을 추정하라. 만약 당신의 정답이 양의 정수 $A$라면, 이 문제에서의 점수는 $0$과 $\\left\\lfloor 20-\\frac{1}{8}|A-N|\\right\\rfloor$ 중 큰 값을 따르게 된다. 그렇지 않으면 점수는 0이 된다. "}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $M$을 2014!을 나누는 양의 정수의 수라고 하고, $N$을 $\ln (M)$에 가장 가까운 정수라고 하자. $N$의 값을 추정하라. 만약 당신의 정답이 양의 정수 $A$라면, 이 문제에서의 점수는 $0$과 $\left\lfloor 20-\frac{1}{8}|A-N|\right\rfloor$ 중 큰 값을 따르게 된다. 그렇지 않으면 점수는 0이 된다.
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
The given query involves a mathematical problem that requires reasoning to solve. The task is to determine the number of positive divisors of 2014, find the integer closest to the natural logarithm of that number, and then estimate the value of \(N\). This process involves logical steps and mathematical calculations, which categorize it as a reasoning-based question.
### Task Type:
- **Reasoning**: The query involves logical steps and mathematical calculations to arrive at the solution.
### Target Type:
- **General**: The query is presented in Korean, but the mathematical problem itself is universal and not specific to any particular country or cultural region.
### Subject Type:
- **Science/Math**: The query is related to mathematics, specifically involving number theory and logarithms.
Therefore, the rationale for categorizing the query is as follows:
1. **Task Type**: The problem requires logical reasoning and mathematical calculations to solve, making it a reasoning-based question.
2. **Target Type**: Although the query is written in Korean, the mathematical nature of the problem is universal, making it applicable to a general audience.
3. **Subject Type**: The problem is related to mathematics, specifically number theory and logarithms, which falls under the category of Science/Math.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
This query involves a mathematical problem that requires understanding and applying concepts of factorials, logarithms, and estimation. The task is to determine the number of positive divisors of a large number and then estimate a value based on the logarithm of that number. The scoring system is based on the difference between the estimated value and the actual value, which involves reasoning through the problem to arrive at a reasonable estimate.
Rationale:
1. **Task Type**: The query requires reasoning through a series of mathematical steps to arrive at an estimate. It is not merely asking for factual knowledge but involves logical thinking and problem-solving skills.
2. **Target Type**: The query is presented in Korean, but the mathematical concepts and problem-solving approach are universal. Therefore, it is categorized as 'General'.
3. **Subject Type**: The content of the query is related to mathematics, specifically dealing with factorials, logarithms, and estimation. Hence, it falls under 'Science/Math'.
Category: {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
8 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '수직선 위에서 점 $P$는 3에 있고, 점 $V$는 33에 있습니다. 3과 33 사이의 수직선은 점 $Q, R, S, T, U$에 의해 여섯 개의 동일한 부분으로 나누어져 있습니다. $PS$와 $TV$의 길이의 합은 얼마입니까?', 'options': None, 'answer': 25, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'In a number line, point $P$ is at 3 and $V$ is at 33. The number line between 3 and 33 is divided into six equal parts by the points $Q, R, S, T, U$. What is the sum of the lengths of $PS$ and $TV$?', 'original_answer': {}, 'query_initial': '수직선 위에서 점 $P$는 3에 있고, 점 $V$는 33에 있습니다. 3과 33 사이의 수직선은 점 $Q, R, S, T, U$에 의해 여섯 개의 동일한 부분으로 나누어져 있습니다. $PS$와 $TV$의 길이의 합은 얼마입니까?', 'level': 2.0}}
|
수직선 위에서 점 $P$는 3에 있고, 점 $V$는 33에 있습니다. 3과 33 사이의 수직선은 점 $Q, R, S, T, U$에 의해 여섯 개의 동일한 부분으로 나누어져 있습니다. $PS$와 $TV$의 길이의 합은 얼마입니까?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 수직선 위에서 점 $P$는 3에 있고, 점 $V$는 33에 있습니다. 3과 33 사이의 수직선은 점 $Q, R, S, T, U$에 의해 여섯 개의 동일한 부분으로 나누어져 있습니다. $PS$와 $TV$의 길이의 합은 얼마입니까?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 수직선 위에서 점 $P$는 3에 있고, 점 $V$는 33에 있습니다. 3과 33 사이의 수직선은 점 $Q, R, S, T, U$에 의해 여섯 개의 동일한 부분으로 나누어져 있습니다. $PS$와 $TV$의 길이의 합은 얼마입니까?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 수직선 위에서 점 $P$는 3에 있고, 점 $V$는 33에 있습니다. 3과 33 사이의 수직선은 점 $Q, R, S, T, U$에 의해 여섯 개의 동일한 부분으로 나누어져 있습니다. $PS$와 $TV$의 길이의 합은 얼마입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
The given query is a mathematical problem that involves reasoning to solve. Here's the detailed rationale for categorizing the query:
1. **Task Type**:
- The query requires the solver to determine the lengths of segments on a number line and then sum these lengths. This involves logical steps and calculations, which are characteristic of reasoning-based questions.
- Therefore, the task type is classified as **'Reasoning'**.
2. **Target Type**:
- The query is presented in Korean, but the mathematical content is universal and does not target any specific cultural or regional context beyond the language used.
- Hence, the target type is classified as **'General'**.
3. **Subject Type**:
- The query involves concepts from mathematics, specifically dealing with points on a number line and segment lengths.
- Therefore, the subject type is classified as **'Science/Math'**.
Thus, the rationale for the categorization is as follows:
- The task involves logical reasoning and calculations, making it a reasoning-based question.
- The query is in Korean but the mathematical problem is general and not specific to any particular country or cultural region.
- The subject matter is related to mathematics, specifically dealing with points and segments on a number line.
Category: {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves a mathematical problem that requires reasoning to solve. It asks for the sum of the lengths of two segments on a number line, given specific points and the number of equal divisions between them. This type of problem requires logical thinking and mathematical calculations to determine the answer. Therefore, the task type is 'Reasoning'.
The query is written in Korean, but the mathematical problem itself is universal and not specific to any particular country or cultural region. Hence, the target type is 'General'.
The subject area of the query is clearly related to mathematics, as it involves concepts of number lines, segments, and lengths. Therefore, the subject type is 'Science/Math'.
</r>
###Final Response:
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
9 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': ' $a, b, c$가 정수일 때, $f(x)=ax^{2}+bx+c$로 정의하자. 서로 다른 정수 $u, v, w$가 존재하여 $f(u)=0$, $f(v)=0$, $f(w)=2$라고 하자. 이때 $f$의 판별식 $b^{2}-4ac$의 최댓값을 구하시오. ', 'options': None, 'answer': 16, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'Let $a, b, c$ be integers. Define $f(x)=a x^{2}+b x+c$. Suppose there exist pairwise distinct integers $u, v, w$ such that $f(u)=0, f(v)=0$, and $f(w)=2$. Find the maximum possible value of the discriminant $b^{2}-4 a c$ of $f$.', 'original_answer': {}, 'query_initial': '$a, b, c$가 정수일 때, $f(x)=ax^{2}+bx+c$로 정의하자. 서로 다른 정수 $u, v, w$가 존재하여 $f(u)=0$, $f(v)=0$, $f(w)=2$라고 하자. 이때 $f$의 판별식 $b^{2}-4ac$의 최댓값을 구하시오.', 'level': 4.0}}
|
$a, b, c$가 정수일 때, $f(x)=ax^{2}+bx+c$로 정의하자. 서로 다른 정수 $u, v, w$가 존재하여 $f(u)=0$, $f(v)=0$, $f(w)=2$라고 하자. 이때 $f$의 판별식 $b^{2}-4ac$의 최댓값을 구하시오.
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $a, b, c$가 정수일 때, $f(x)=ax^{2}+bx+c$로 정의하자. 서로 다른 정수 $u, v, w$가 존재하여 $f(u)=0$, $f(v)=0$, $f(w)=2$라고 하자. 이때 $f$의 판별식 $b^{2}-4ac$의 최댓값을 구하시오.
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: $a, b, c$가 정수일 때, $f(x)=ax^{2}+bx+c$로 정의하자. 서로 다른 정수 $u, v, w$가 존재하여 $f(u)=0$, $f(v)=0$, $f(w)=2$라고 하자. 이때 $f$의 판별식 $b^{2}-4ac$의 최댓값을 구하시오. "}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $a, b, c$가 정수일 때, $f(x)=ax^{2}+bx+c$로 정의하자. 서로 다른 정수 $u, v, w$가 존재하여 $f(u)=0$, $f(v)=0$, $f(w)=2$라고 하자. 이때 $f$의 판별식 $b^{2}-4ac$의 최댓값을 구하시오.
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
### Rationale:
#### Task Type:
The query involves a mathematical problem that requires understanding and applying algebraic concepts to find the maximum value of a discriminant. This involves logical steps and mathematical reasoning to derive the solution. Therefore, the task type is classified as 'reasoning'.
#### Target Type:
The query is written in Korean, as indicated by the use of Hangul characters. However, the mathematical content and the way the problem is structured are universal and can be understood by anyone with knowledge of algebra, regardless of their cultural background. Thus, the target type is 'general'.
#### Subject Type:
The query is related to algebra, which falls under the broader category of mathematics. It involves solving a quadratic equation and finding the maximum value of its discriminant. Therefore, the subject type is 'Science/Math'.
### Conclusion:
The query is classified as follows:
- Task Type: Reasoning
- Target Type: General
- Subject Type: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The given query is a mathematical problem involving a quadratic function and requires finding the maximum value of the discriminant of the function under certain conditions. This involves understanding and applying mathematical concepts and reasoning through the problem to derive the solution. Therefore, the task type is 'reasoning'. The query is written in Korean, but the mathematical content is universal and not specific to any cultural context, so the target type is 'general'. The subject area is clearly related to mathematics, as it involves quadratic functions and discriminants, so the subject type is 'Science/Math'.
Category: {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
10 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '세 양의 정수의 세제곱 합으로 두 가지 다른 방법으로 표현할 수 있는 가장 작은 양의 정수는 무엇인가요?', 'options': None, 'answer': 251, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'G.H. Hardy once went to visit Srinivasa Ramanujan in the hospital, and he started the conversation with: "I came here in taxi-cab number 1729. That number seems dull to me, which I hope isn\'t a bad omen." "Nonsense," said Ramanujan. "The number isn\'t dull at all. It\'s quite interesting. It\'s the smallest number that can be expressed as the sum of two cubes in two different ways." Ramanujan had immediately seen that $1729 = 12^{3} + 1^{3} = 10^{3} + 9^{3}$. What is the smallest positive integer representable as the sum of the cubes of three positive integers in two different ways?', 'original_answer': {}, 'query_initial': '세 양의 정수의 세제곱 합으로 두 가지 다른 방법으로 표현할 수 있는 가장 작은 양의 정수는 무엇인가요?', 'level': 4.0}}
|
세 양의 정수의 세제곱 합으로 두 가지 다른 방법으로 표현할 수 있는 가장 작은 양의 정수는 무엇인가요?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 세 양의 정수의 세제곱 합으로 두 가지 다른 방법으로 표현할 수 있는 가장 작은 양의 정수는 무엇인가요?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 세 양의 정수의 세제곱 합으로 두 가지 다른 방법으로 표현할 수 있는 가장 작은 양의 정수는 무엇인가요?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 세 양의 정수의 세제곱 합으로 두 가지 다른 방법으로 표현할 수 있는 가장 작은 양의 정수는 무엇인가요?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
### Rationale:
1. **Task Type: Reasoning**
- The query asks for the smallest positive integer that can be expressed as the sum of the cubes of three positive integers in two different ways. This requires mathematical reasoning and problem-solving skills to determine the correct integer. Therefore, the task type is classified as "reasoning."
2. **Target Type: General**
- The query is written in Korean, but the mathematical problem it presents is universal and not specific to any particular country or cultural region. Thus, the target type is classified as "general."
3. **Subject Type: Science/Math**
- The query involves a mathematical problem related to number theory, specifically dealing with the properties of integers and their cubic sums. This falls under the category of "Science/Math."
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query is asking for the smallest positive integer that can be expressed as the sum of the cubes of three positive integers in two different ways. This requires mathematical reasoning to solve, as it involves understanding and manipulating mathematical concepts and properties. Therefore, the task type is classified as 'Reasoning'. The query is written in Korean, but the mathematical problem itself is universal and not specific to any cultural context, so the target type is classified as 'General'. The subject area is clearly related to mathematics, as it involves the concept of cubes and integer sums, so the subject type is classified as 'Science/Math'.
</r>
###Final Response:
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
11 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': ' $a \\neq b$인 양의 실수이고 $m, n$은 양의 정수라고 하자. $m+n$개의 변을 가진 다각형 $P$는 $m$개의 변이 길이 $a$를 가지고 $n$개의 변이 길이 $b$를 가진다. 또한 $P$는 반지름이 $a+b$인 원에 내접할 수 있다고 하자. 이러한 다각형 $P$가 $a$와 $b$의 서로 다른 값에 대해 존재할 수 있도록 하는 $(m, n)$의 순서쌍의 개수를 구하라, 여기서 $m, n \\leq 100$이다.', 'options': None, 'answer': 940, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'Let $a \\neq b$ be positive real numbers and $m, n$ be positive integers. An $m+n$-gon $P$ has the property that $m$ sides have length $a$ and $n$ sides have length $b$. Further suppose that $P$ can be inscribed in a circle of radius $a+b$. Compute the number of ordered pairs $(m, n)$, with $m, n \\leq 100$, for which such a polygon $P$ exists for some distinct values of $a$ and $b$.', 'original_answer': {}, 'query_initial': '$a \\neq b$인 양의 실수이고 $m, n$은 양의 정수라고 하자. $m+n$개의 변을 가진 다각형 $P$는 $m$개의 변이 길이 $a$를 가지고 $n$개의 변이 길이 $b$를 가진다. 또한 $P$는 반지름이 $a+b$인 원에 내접할 수 있다고 하자. 이러한 다각형 $P$가 $a$와 $b$의 서로 다른 값에 대해 존재할 수 있도록 하는 $(m, n)$의 순서쌍의 개수를 구하라, 여기서 $m, n \\leq 100$이다.', 'level': 6.5}}
|
$a \neq b$인 양의 실수이고 $m, n$은 양의 정수라고 하자. $m+n$개의 변을 가진 다각형 $P$는 $m$개의 변이 길이 $a$를 가지고 $n$개의 변이 길이 $b$를 가진다. 또한 $P$는 반지름이 $a+b$인 원에 내접할 수 있다고 하자. 이러한 다각형 $P$가 $a$와 $b$의 서로 다른 값에 대해 존재할 수 있도록 하는 $(m, n)$의 순서쌍의 개수를 구하라, 여기서 $m, n \leq 100$이다.
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $a \neq b$인 양의 실수이고 $m, n$은 양의 정수라고 하자. $m+n$개의 변을 가진 다각형 $P$는 $m$개의 변이 길이 $a$를 가지고 $n$개의 변이 길이 $b$를 가진다. 또한 $P$는 반지름이 $a+b$인 원에 내접할 수 있다고 하자. 이러한 다각형 $P$가 $a$와 $b$의 서로 다른 값에 대해 존재할 수 있도록 하는 $(m, n)$의 순서쌍의 개수를 구하라, 여기서 $m, n \leq 100$이다.
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: $a \\neq b$인 양의 실수이고 $m, n$은 양의 정수라고 하자. $m+n$개의 변을 가진 다각형 $P$는 $m$개의 변이 길이 $a$를 가지고 $n$개의 변이 길이 $b$를 가진다. 또한 $P$는 반지름이 $a+b$인 원에 내접할 수 있다고 하자. 이러한 다각형 $P$가 $a$와 $b$의 서로 다른 값에 대해 존재할 수 있도록 하는 $(m, n)$의 순서쌍의 개수를 구하라, 여기서 $m, n \\leq 100$이다."}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: $a \neq b$인 양의 실수이고 $m, n$은 양의 정수라고 하자. $m+n$개의 변을 가진 다각형 $P$는 $m$개의 변이 길이 $a$를 가지고 $n$개의 변이 길이 $b$를 가진다. 또한 $P$는 반지름이 $a+b$인 원에 내접할 수 있다고 하자. 이러한 다각형 $P$가 $a$와 $b$의 서로 다른 값에 대해 존재할 수 있도록 하는 $(m, n)$의 순서쌍의 개수를 구하라, 여기서 $m, n \leq 100$이다.
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
The given query is a mathematical problem that involves reasoning and problem-solving skills. Here’s the detailed rationale for categorizing the query:
1. **Task Type (Reasoning)**:
- The query requires the solver to determine the number of ordered pairs \((m, n)\) that satisfy certain conditions. This involves logical reasoning and mathematical problem-solving rather than recalling factual knowledge or making value judgments. Therefore, the task type is 'Reasoning'.
2. **Target Type (General)**:
- The query is presented in Korean, but the mathematical nature of the problem is universal and does not target any specific cultural or regional context. Hence, the target type is 'General'.
3. **Subject Type (Science/Math)**:
- The problem is clearly related to mathematics, involving concepts such as positive real numbers, positive integers, polygons, and geometric properties. Therefore, the subject type is 'Science/Math'.
Given these points, the appropriate category for the query is:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale:
1. **Task Type**: The query involves determining the number of ordered pairs \((m, n)\) that satisfy a given mathematical condition. This requires logical and mathematical reasoning to solve, rather than simply recalling factual knowledge or making value judgments. Therefore, the task type is classified as 'Reasoning'.
2. **Target Type**: The query is written in Korean, as indicated by the use of Korean characters and mathematical notation. However, the mathematical problem itself is general and not specific to any particular country or cultural region. Therefore, the target type is classified as 'General'.
3. **Subject Type**: The query is a mathematical problem involving concepts such as positive real numbers, positive integers, polygons, and geometric properties. This falls under the category of 'Science/Math'.
Thus, the appropriate category for the query is:
Category: {'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
12 |
{'problem_type': 'free-form', 'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math'], 'context': None, 'prompt': '어느 학교에서 두 반의 총 학생 수는 80명입니다. 각 반에는 동일한 학생 수가 있고, 각 반의 40%는 여학생입니다. 각 반에 남학생은 몇 명입니까?', 'options': None, 'answer': 24.0, 'reference': None, 'benchmark_name': 'HAERAE-HUB/HRM8K', 'original_category': None, 'additional_info': {'original': 'In a certain school, two classes have a total of 80 students. Each class has the same amount of students, and in each class 40% of the students are girls. How many boys are in each class?', 'original_answer': {}, 'query_initial': None, 'level': None}}
|
어느 학교에서 두 반의 총 학생 수는 80명입니다. 각 반에는 동일한 학생 수가 있고, 각 반의 40%는 여학생입니다. 각 반에 남학생은 몇 명입니까?
| null |
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['task_type', 'target_type', 'subject_type']
|
Assign three labels to the following query. Refer to the description of each label and the output format.
Explain the rationale first, and then present the output in the following format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str]}
Please provide the following information for the query:
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 어느 학교에서 두 반의 총 학생 수는 80명입니다. 각 반에는 동일한 학생 수가 있고, 각 반의 40%는 여학생입니다. 각 반에 남학생은 몇 명입니까?
|
[{'role': 'user', 'content': "Assign three labels to the following query. Refer to the description of each label and the output format.\n Output format: {'task_type' : str,'target_type' : str,'subject_type' : LIST[str],'Rationale': str}\n Please provide the following information for the query:\n \n - task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']\n - Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.\n \n\n - target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.\n - Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha\n \n \n - subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'. \n - Categories: \n\n ### Science/Math \n ### Science/Stats \n ### Science/Physics \n ### Science/Astronomy \n ### Science/Chemistry \n ### Science/Biology \n ### Science/Earth_Science \n ### Science/Geology \n ### Science/Atmosphere \n ### Science/Life_Science \n\n ### Tech/Mechanics \n ### Tech/Materials \n ### Tech/Chemical_Eng \n ### Tech/Electrical \n ### Tech/IT \n ### Tech/Energy \n ### Tech/Nuclear_Eng \n ### Tech/Civil_Eng \n ### Tech/Urban_Eng \n ### Tech/AI \n ### Tech/Coding \n ### Tech/Env_Eng \n ### Tech/Aerospace \n ### Tech/Naval_Eng \n ### Tech/Agriculture \n ### Tech/Medical \n\n ### Society&Humanity/Literature \n ### Society&Humanity/Language \n ### Society&Humanity/Philosophy \n ### Society&Humanity/Religion \n ### Society&Humanity/Psychology \n ### Society&Humanity/History \n ### Society&Humanity/Geography \n ### Society&Humanity/Politics \n ### Society&Humanity/Economics \n ### Society&Humanity/Law \n ### Society&Humanity/Administration \n ### Society&Humanity/Welfare \n ### Society&Humanity/Education \n ### Society&Humanity/Trade \n ### Society&Humanity/Media \n ### Society&Humanity/Customs \n\n ### Arts&Sports/Architecture \n ### Arts&Sports/Sculpture \n ### Arts&Sports/Painting \n ### Arts&Sports/Music \n ### Arts&Sports/Performing \n ### Arts&Sports/Sports \n ### Arts&Sports/Photography \n ### Arts&Sports/Festivals \n ### Arts&Sports/Fashion \n\n ### Culture/Tradition \n ### Culture/Family \n ### Culture/Celebration_Holiday \n ### Culture/Work-life \n ### Culture/Food \n ### Culture/Clothing \n ### Culture/Housing \n ### Culture/Daily_Life \n \n Query: 어느 학교에서 두 반의 총 학생 수는 80명입니다. 각 반에는 동일한 학생 수가 있고, 각 반의 40%는 여학생입니다. 각 반에 남학생은 몇 명입니까?"}, {'role': 'system', 'content': "{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}"}]
|
The following are the given queries and their corresponding categories, with descriptions for each category provided below. Generate a rationale to derive the appropriate category from each query.
- task_type indicates the type of task the query belongs to. Please choose one of the following values based on the description below: ['knowledge', 'reasoning', 'value', 'other']
- Description: knowledge: knowledge-based questions, reasoning: reasoning-based questions, value: value judgment or behavior pattern-based questions, other: other questions that do not fall into any of these categories.
- target_type indicates the country or cultural region targeted by the query. Select all the values that apply to the country or cultural region the query is targeting. If there is no corresponding value, you can add it.
- Description: general: general target, ko: targeting Korea, us: targeting the United States, jp: targeting Japan, uk: targeting the United Kingdom, additional options: ch, pe, in, ar, sp, su, am, as, gr, az, sp, me, ha
- subject_type indicates the subject area the query is related to. Identify the content of the query and select one or more of the following values. If there is no matching category, respond with 'Misc'.
- Categories:
### Science/Math
### Science/Stats
### Science/Physics
### Science/Astronomy
### Science/Chemistry
### Science/Biology
### Science/Earth_Science
### Science/Geology
### Science/Atmosphere
### Science/Life_Science
### Tech/Mechanics
### Tech/Materials
### Tech/Chemical_Eng
### Tech/Electrical
### Tech/IT
### Tech/Energy
### Tech/Nuclear_Eng
### Tech/Civil_Eng
### Tech/Urban_Eng
### Tech/AI
### Tech/Coding
### Tech/Env_Eng
### Tech/Aerospace
### Tech/Naval_Eng
### Tech/Agriculture
### Tech/Medical
### Society&Humanity/Literature
### Society&Humanity/Language
### Society&Humanity/Philosophy
### Society&Humanity/Religion
### Society&Humanity/Psychology
### Society&Humanity/History
### Society&Humanity/Geography
### Society&Humanity/Politics
### Society&Humanity/Economics
### Society&Humanity/Law
### Society&Humanity/Administration
### Society&Humanity/Welfare
### Society&Humanity/Education
### Society&Humanity/Trade
### Society&Humanity/Media
### Society&Humanity/Customs
### Arts&Sports/Architecture
### Arts&Sports/Sculpture
### Arts&Sports/Painting
### Arts&Sports/Music
### Arts&Sports/Performing
### Arts&Sports/Sports
### Arts&Sports/Photography
### Arts&Sports/Festivals
### Arts&Sports/Fashion
### Culture/Tradition
### Culture/Family
### Culture/Celebration_Holiday
### Culture/Work-life
### Culture/Food
### Culture/Clothing
### Culture/Housing
### Culture/Daily_Life
Query: 어느 학교에서 두 반의 총 학생 수는 80명입니다. 각 반에는 동일한 학생 수가 있고, 각 반의 40%는 여학생입니다. 각 반에 남학생은 몇 명입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale:
|
The query provided is a mathematical problem that involves calculating the number of male students in each class based on the given percentages and total number of students. Here’s the step-by-step rationale for categorizing this query:
1. **Task Type**:
- **Reasoning**: The query requires logical reasoning and mathematical calculations to determine the number of male students in each class. It involves understanding percentages and basic arithmetic operations to solve the problem.
2. **Target Type**:
- **General**: The query is presented in Korean, but the mathematical problem itself is universal and does not target any specific country or cultural region. Therefore, it is categorized as general.
3. **Subject Type**:
- **Science/Math**: The query is related to mathematics, specifically dealing with percentages and arithmetic operations. It falls under the category of Science/Math as it involves mathematical reasoning and problem-solving.
Rationale:
The query involves a mathematical problem that requires reasoning to solve. It is not specific to any particular country or cultural region, making it general. The subject area is clearly mathematics, as it involves calculations related to percentages and student counts. Therefore, the appropriate category for this query is:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}```
|
Rationale: The query involves a mathematical problem that requires reasoning to solve. It asks for the number of male students in each class given the total number of students and the percentage of female students in each class. This type of problem falls under the category of reasoning because it requires logical thinking and mathematical calculations to arrive at the answer. The query is general and not specific to any particular country or cultural region, so the target type is 'General'. The subject area is clearly related to mathematics, so the subject type is 'Science/Math'.
</r>
###Final Response:
{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
|
['Science/Math']
|
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