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149 | \(\mathbb{N}\)이 자연수를 나타낸다고 하자. \(f: \mathbb{N} \rightarrow \{0, 1, \ldots, 16\}\)인 함수의 개수를 구하여라. 이때, $$f(x+17)=f(x) \quad \text {이며} \quad f\left(x^{2}\right) \equiv f(x)^{2}+15 \pmod{17}$$ 모든 정수 \(x \geq 1\)에 대해. | nan | {'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: \(\mathbb{N}\)이 자연수를 나타낸다고 하자. \(f: \mathbb{N} \rightarrow \{0, 1, \ldots, 16\}\)인 함수의 개수를 구하여라. 이때, $$f(x+17)=f(x) \quad \text {이며} \quad f\left(x^{2}\right) \equiv f(x)^{2}+15 \pmod{17}$$ 모든 정수 \(x \geq 1\)에 대해. | [{'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: \\(\\mathbb{N}\\)이 자연수를 나타낸다고 하자. \\(f: \\mathbb{N} \\rightarrow \\{0, 1, \\ldots, 16\\}\\)인 함수의 개수를 구하여라. 이때, $$f(x+17)=f(x) \\quad \\text {이며} \\quad f\\left(x^{2}\\right) \\equiv f(x)^{2}+15 \\pmod{17}$$ 모든 정수 \\(x \\geq 1\\)에 대해. "}, {'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: \(\mathbb{N}\)이 자연수를 나타낸다고 하자. \(f: \mathbb{N} \rightarrow \{0, 1, \ldots, 16\}\)인 함수의 개수를 구하여라. 이때, $$f(x+17)=f(x) \quad \text {이며} \quad f\left(x^{2}\right) \equiv f(x)^{2}+15 \pmod{17}$$ 모든 정수 \(x \geq 1\)에 대해.
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | To derive the appropriate category for the given query, we need to analyze the content and context of the query based on the provided descriptions for task_type, target_type, and subject_type.
### Task Type:
- The query involves finding the number of functions \(f: \mathbb{N} \rightarrow \{0, 1, \ldots, 16\}\) that satisfy specific mathematical conditions. This requires logical deduction and mathematical reasoning to solve.
- Therefore, the task type is 'reasoning' as it involves reasoning-based questions.
### Target Type:
- The query is presented in mathematical notation and does not specify any particular country or cultural region. It is a general mathematical problem that could be relevant to anyone studying mathematics.
- Therefore, the target type is 'general'.
### Subject Type:
- The query involves natural numbers, functions, and modular arithmetic, which are all topics within the field of mathematics.
- Specifically, it falls under 'Science/Math' as it deals with mathematical concepts and problem-solving.
### Rationale:
The query requires understanding and applying mathematical concepts and logical reasoning to determine the number of functions that meet the given conditions. It is not specific to any country or cultural region, making it a general query. The subject matter is clearly within the realm of mathematics.
Thus, 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"
]
}``` | None | None | None | \(\mathbb{N}\)이 자연수를 나타낸다고 하자. \(f: \mathbb{N} \rightarrow \{0, 1, \ldots, 16\}\)인 함수의 개수를 구하여라. 이때, $$f(x+17)=f(x) \quad \text {이며} \quad f\left(x^{2}\right) \equiv f(x)^{2}+15 \pmod{17}$$ 모든 정수 \(x \geq 1\)에 대해. | None | None | 12066 | None | free-form | HAERAE-HUB/HRM8K | None | {'original': 'Let \\mathbb{N} denote the natural numbers. Compute the number of functions $f: \\mathbb{N} \\rightarrow\\{0,1, \\ldots, 16\\}$ such that $$f(x+17)=f(x) \\quad \\text { and } \\quad f\\left(x^{2}\\right) \\equiv f(x)^{2}+15 \\quad(\\bmod 17)$$ for all integers $x \\geq 1$', 'original_answer': {}, 'query_initial': '\\(\\mathbb{N}\\)이 자연수를 나타낸다고 하자. \\(f: \\mathbb{N} \\rightarrow \\{0, 1, \\ldots, 16\\}\\)인 함수의 개수를 구하여라. 이때, $$f(x+17)=f(x) \\quad \\text {이며} \\quad f\\left(x^{2}\\right) \\equiv f(x)^{2}+15 \\pmod{17}$$ 모든 정수 \\(x \\geq 1\\)에 대해.', 'level': 6.0} |
243 | 등차수열 13, 20, 27, 34, $\dots$, 2008에 속하는 정수는 몇 개입니까? | nan | {'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: 등차수열 13, 20, 27, 34, $\dots$, 2008에 속하는 정수는 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: 등차수열 13, 20, 27, 34, $\\dots$, 2008에 속하는 정수는 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: 등차수열 13, 20, 27, 34, $\dots$, 2008에 속하는 정수는 몇 개입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type**:
- The query asks for the number of integers in a given arithmetic sequence that fit a specific pattern. This requires understanding the properties of arithmetic sequences and performing calculations to determine the number of terms. Therefore, it involves logical steps and mathematical reasoning.
- **Chosen Category**: Reasoning
2. **Target Type**:
- The query is written in Korean, but the mathematical content is universal and not specific to any particular country or cultural region. It can be understood and solved by anyone with knowledge of arithmetic sequences.
- **Chosen Category**: General
3. **Subject Type**:
- The query is related to arithmetic sequences, which fall under the domain of mathematics.
- **Chosen Category**: Science/Math
### Conclusion:
The query involves reasoning to solve a mathematical problem related to arithmetic sequences, and it is universally applicable without targeting any specific country or cultural region. Therefore, the appropriate categories are:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 등차수열 13, 20, 27, 34, $\dots$, 2008에 속하는 정수는 몇 개입니까? | None | None | 286.0 | None | free-form | HAERAE-HUB/HRM8K | Algebra | {'original': 'How many integers belong to the arithmetic sequence 13, 20, 27, 34, $\\dots$, 2008?', 'original_answer': {}, 'query_initial': '13, 20, 27, 34, $\\dots$, 2008에 속하는 정수는 몇 개인가?', 'level': 'Level 3'} |
249 | $$\begin{array}{@{}c@{\;}c@{}c@{}c} && &P_b \\ & \times & & P_b \\ \cline{2-4} & & Q & P_b, \\ \end{array} $$ 여기서 $P$, $Q$, $b$는 1-9 범위의 서로 다른 숫자를 나타냅니다. $Q=\frac{P}{2}$이고, $P$는 $b$보다 2 작을 때, 숫자 $P$의 값은 얼마입니까? | nan | {'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: $$\begin{array}{@{}c@{\;}c@{}c@{}c} && &P_b \\ & \times & & P_b \\ \cline{2-4} & & Q & P_b, \\ \end{array} $$ 여기서 $P$, $Q$, $b$는 1-9 범위의 서로 다른 숫자를 나타냅니다. $Q=\frac{P}{2}$이고, $P$는 $b$보다 2 작을 때, 숫자 $P$의 값은 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: $$\\begin{array}{@{}c@{\\;}c@{}c@{}c} && &P_b \\\\ & \\times & & P_b \\\\ \\cline{2-4} & & Q & P_b, \\\\ \\end{array} $$ 여기서 $P$, $Q$, $b$는 1-9 범위의 서로 다른 숫자를 나타냅니다. $Q=\\frac{P}{2}$이고, $P$는 $b$보다 2 작을 때, 숫자 $P$의 값은 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: $$\begin{array}{@{}c@{\;}c@{}c@{}c} && &P_b \\ & \times & & P_b \\ \cline{2-4} & & Q & P_b, \\ \end{array} $$ 여기서 $P$, $Q$, $b$는 1-9 범위의 서로 다른 숫자를 나타냅니다. $Q=\frac{P}{2}$이고, $P$는 $b$보다 2 작을 때, 숫자 $P$의 값은 얼마입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | To derive the appropriate category for the given query, we need to analyze the content and context of the query based on the provided descriptions for task_type, target_type, and subject_type.
### Task Type:
The query involves mathematical symbols and operations, and it requires the solver to deduce the value of \( P \) based on given conditions and relationships between variables. This involves logical thinking and problem-solving skills, which are characteristic of reasoning-based questions.
### Target Type:
The query is written in Korean, as indicated by the use of Korean language in the text. Therefore, the target audience is likely Korean-speaking individuals.
### Subject Type:
The content of the query is mathematical in nature, involving arithmetic operations and algebraic reasoning. This falls under the category of Science/Math.
### Rationale:
- **Task Type:** The query requires logical deduction and problem-solving, which are key aspects of reasoning. Therefore, the task type is 'Reasoning'.
- **Target Type:** The query is written in Korean, indicating that it targets a Korean-speaking audience. Therefore, the target type is 'ko'.
- **Subject Type:** The query deals with mathematical concepts and operations, placing it in the Science/Math category.
Based on this analysis, the appropriate category for the query is:
Category: {'task_type': 'Reasoning', 'target_type': 'ko', 'subject_type': ['Science/Math']}
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | $$\begin{array}{@{}c@{\;}c@{}c@{}c} && &P_b \\ & \times & & P_b \\ \cline{2-4} & & Q & P_b, \\ \end{array} $$ 여기서 $P$, $Q$, $b$는 1-9 범위의 서로 다른 숫자를 나타냅니다. $Q=\frac{P}{2}$이고, $P$는 $b$보다 2 작을 때, 숫자 $P$의 값은 얼마입니까? | None | None | 4.0 | None | free-form | HAERAE-HUB/HRM8K | Number Theory | {'original': 'Suppose that $$\\begin{array}{@{}c@{\\;}c@{}c@{}c} && &P_b \\\\ & \\times & & P_b \\\\ \\cline{2-4} & & Q & P_b, \\\\ \\end{array} $$where $P$, $Q$, and $b$ represent three distinct digits 1-9. If $Q=\\frac{P}{2}$, and $P$ is two less than $b$, what is the value of the digit $P$?', 'original_answer': {}, 'query_initial': '$$\\begin{array}{@{}c@{\\;}c@{}c@{}c} && &P_b \\\\ & \\times & & P_b \\\\ \\cline{2-4} & & Q & P_b, \\\\ \\end{array} $$ 여기서 $P$, $Q$, $b$는 1-9 범위의 서로 다른 세 자리 숫자입니다. $Q=\\frac{P}{2}$이고, $P$는 $b$보다 2 작을 때, 숫자 $P$의 값은 얼마입니까?', 'level': 'Level 4'} |
363 | 카펫은 제곱야드당 \$21.95이고, 밑에 깔 패딩은 제곱야드당 \$2.55입니다. 펠릭스는 다이어그램에 나타난 지역에 패딩과 카펫을 설치하려고 합니다. 방을 정확히 덮기 위해 필요한 카펫과 패딩의 비용은 얼마입니까?
[asy]
unitsize(0.2 inch);
//import geometry;
draw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));
label("4 yds",(2,5),N);
label("3 yds",(4,3.5),E);
label("5 yds",(6.5,2),N);
label("2 yds",(9,1),E);
[/asy] | nan | {'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: 카펫은 제곱야드당 \$21.95이고, 밑에 깔 패딩은 제곱야드당 \$2.55입니다. 펠릭스는 다이어그램에 나타난 지역에 패딩과 카펫을 설치하려고 합니다. 방을 정확히 덮기 위해 필요한 카펫과 패딩의 비용은 얼마입니까?
[asy]
unitsize(0.2 inch);
//import geometry;
draw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));
label("4 yds",(2,5),N);
label("3 yds",(4,3.5),E);
label("5 yds",(6.5,2),N);
label("2 yds",(9,1),E);
[/asy] | [{'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]}\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: 카펫은 제곱야드당 \\$21.95이고, 밑에 깔 패딩은 제곱야드당 \\$2.55입니다. 펠릭스는 다이어그램에 나타난 지역에 패딩과 카펫을 설치하려고 합니다. 방을 정확히 덮기 위해 필요한 카펫과 패딩의 비용은 얼마입니까?\n\n[asy]\nunitsize(0.2 inch);\n//import geometry;\ndraw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));\n\nlabel("4 yds",(2,5),N);\nlabel("3 yds",(4,3.5),E);\nlabel("5 yds",(6.5,2),N);\nlabel("2 yds",(9,1),E);\n\n[/asy]'}, {'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: 카펫은 제곱야드당 \$21.95이고, 밑에 깔 패딩은 제곱야드당 \$2.55입니다. 펠릭스는 다이어그램에 나타난 지역에 패딩과 카펫을 설치하려고 합니다. 방을 정확히 덮기 위해 필요한 카펫과 패딩의 비용은 얼마입니까?
[asy]
unitsize(0.2 inch);
//import geometry;
draw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));
label("4 yds",(2,5),N);
label("3 yds",(4,3.5),E);
label("5 yds",(6.5,2),N);
label("2 yds",(9,1),E);
[/asy]
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | To derive the appropriate category for the given query, we need to analyze the content and context of the query in relation to the provided descriptions for task_type, target_type, and subject_type.
### Task Type:
- The query involves calculating the cost of carpeting and padding for a room based on given dimensions and prices per square yard.
- This requires understanding the dimensions, calculating the area, and then using the given prices to find the total cost.
- This process involves mathematical reasoning and problem-solving skills.
Therefore, the task_type is 'reasoning' because it requires logical thinking and mathematical calculations.
### Target Type:
- The query is presented in Korean (카펫은 제곱야드당 \$21.95이고, 밑에 깔 패딩은 제곱야드당 \$2.55입니다. 펠릭스는 다이어그램에 나타난 지역에 패딩과 카펫을 설치하려고 합니다. 방을 정확히 덮기 위해 필요한 카펫과 패딩의 비용은 얼마입니까?).
- This indicates that the primary audience for this query is Korean-speaking individuals.
Therefore, the target_type is 'ko' (targeting Korea).
### Subject Type:
- The query involves calculating areas and costs, which falls under the domain of mathematics.
- Specifically, it involves basic arithmetic and geometric calculations.
Therefore, the subject_type is 'Science/Math' because it pertains to mathematical calculations and problem-solving.
### Final Categorization:
- task_type: 'reasoning'
- target_type: 'ko'
- subject_type: ['Science/Math']
### Rationale:
The query requires mathematical reasoning to determine the total cost of carpeting and padding a room based on given dimensions and prices. The task involves calculating the area of the room and then using the prices to find the total cost. The query is presented in Korean, indicating that it targets a Korean-speaking audience. The subject matter is related to mathematics, specifically arithmetic and geometry.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 카펫은 제곱야드당 \$21.95이고, 밑에 깔 패딩은 제곱야드당 \$2.55입니다. 펠릭스는 다이어그램에 나타난 지역에 패딩과 카펫을 설치하려고 합니다. 방을 정확히 덮기 위해 필요한 카펫과 패딩의 비용은 얼마입니까?
[asy]
unitsize(0.2 inch);
//import geometry;
draw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));
label("4 yds",(2,5),N);
label("3 yds",(4,3.5),E);
label("5 yds",(6.5,2),N);
label("2 yds",(9,1),E);
[/asy] | None | None | 735.0 | None | free-form | HAERAE-HUB/HRM8K | Prealgebra | {'original': 'Carpet costs $\\$21.95$ per square yard and the padding to put under it costs $\\$2.55$ per square yard. Felix plans to install padding and carpet in the region shown in the diagram. What is the cost of the carpet and padding needed to exactly cover the room?\n\n[asy]\nunitsize(0.2 inch);\n//import geometry;\ndraw((0,0)--(9,0)--(9,2)--(4,2)--(4,5)--(0,5)--(0,0));\n\nlabel("4 yds",(2,5),N);\nlabel("3 yds",(4,3.5),E);\nlabel("5 yds",(6.5,2),N);\nlabel("2 yds",(9,1),E);\n\n[/asy]', 'original_answer': {}, 'query_initial': 'Carpet가 평방야드당 $\\$21.95$ 이고, 그 아래에 깔 패딩이 평방야드당 $\\$2.55$ 입니다. Felix는 도면에 표시된 구역에 패딩과 카펫을 설치할 계획입니다. 방을 정확하게 덮는 데 필요한 카펫과 패딩의 비용은 얼마입니까?', 'level': 'Level 4'} |
388 | 아래 도형에서 $ABDC,$ $EFHG,$ $ASHY$는 모두 정사각형이며, $AB=EF=1$이고 $AY=5$이다.
사각형 $DYES$의 넓이는 얼마인가?
[asy]
size(5cm);
defaultpen(black+1);
pair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5);
draw(a--s--h--y--a);
draw(c--d--b,gray);
draw(g--e--f,gray);
draw(d--y--e--s--d);
dot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s);
label("$A$",a,NW);
label("$B$",b,N);
label("$C$",c,W);
label("$D$",d,SE);
label("$E$",e,NW);
label("$F$",f,E);
label("$G$",g,S);
label("$H$",h,SE);
label("$Y$",y,SW);
label("$S$",s,NE);
[/asy] | nan | {'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: 아래 도형에서 $ABDC,$ $EFHG,$ $ASHY$는 모두 정사각형이며, $AB=EF=1$이고 $AY=5$이다.
사각형 $DYES$의 넓이는 얼마인가?
[asy]
size(5cm);
defaultpen(black+1);
pair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5);
draw(a--s--h--y--a);
draw(c--d--b,gray);
draw(g--e--f,gray);
draw(d--y--e--s--d);
dot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s);
label("$A$",a,NW);
label("$B$",b,N);
label("$C$",c,W);
label("$D$",d,SE);
label("$E$",e,NW);
label("$F$",f,E);
label("$G$",g,S);
label("$H$",h,SE);
label("$Y$",y,SW);
label("$S$",s,NE);
[/asy] | [{'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]}\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: 아래 도형에서 $ABDC,$ $EFHG,$ $ASHY$는 모두 정사각형이며, $AB=EF=1$이고 $AY=5$이다.\n\n사각형 $DYES$의 넓이는 얼마인가?\n\n[asy]\nsize(5cm);\ndefaultpen(black+1);\npair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5);\ndraw(a--s--h--y--a);\ndraw(c--d--b,gray);\ndraw(g--e--f,gray);\ndraw(d--y--e--s--d);\ndot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s);\nlabel("$A$",a,NW);\nlabel("$B$",b,N);\nlabel("$C$",c,W);\nlabel("$D$",d,SE);\nlabel("$E$",e,NW);\nlabel("$F$",f,E);\nlabel("$G$",g,S);\nlabel("$H$",h,SE);\nlabel("$Y$",y,SW);\nlabel("$S$",s,NE);\n[/asy]'}, {'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: 아래 도형에서 $ABDC,$ $EFHG,$ $ASHY$는 모두 정사각형이며, $AB=EF=1$이고 $AY=5$이다.
사각형 $DYES$의 넓이는 얼마인가?
[asy]
size(5cm);
defaultpen(black+1);
pair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5);
draw(a--s--h--y--a);
draw(c--d--b,gray);
draw(g--e--f,gray);
draw(d--y--e--s--d);
dot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s);
label("$A$",a,NW);
label("$B$",b,N);
label("$C$",c,W);
label("$D$",d,SE);
label("$E$",e,NW);
label("$F$",f,E);
label("$G$",g,S);
label("$H$",h,SE);
label("$Y$",y,SW);
label("$S$",s,NE);
[/asy]
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type: Reasoning**
- The query involves calculating the area of a specific geometric shape (quadrilateral DYES) based on given conditions and relationships between various squares and points. This requires logical deduction and mathematical reasoning to solve, rather than recalling factual knowledge or making value judgments.
2. **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. Therefore, it targets a general audience interested in mathematics.
3. **Subject Type: Science/Math**
- The content of the query is purely mathematical, involving geometric shapes and area calculation. It falls under the category of Science/Math as it deals with mathematical concepts and problem-solving.
### Summary:
The query is a reasoning-based mathematical problem that targets a general audience and falls under the subject area of Science/Math.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 아래 도형에서 $ABDC,$ $EFHG,$ $ASHY$는 모두 정사각형이며, $AB=EF=1$이고 $AY=5$이다.
사각형 $DYES$의 넓이는 얼마인가?
[asy]
size(5cm);
defaultpen(black+1);
pair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5);
draw(a--s--h--y--a);
draw(c--d--b,gray);
draw(g--e--f,gray);
draw(d--y--e--s--d);
dot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s);
label("$A$",a,NW);
label("$B$",b,N);
label("$C$",c,W);
label("$D$",d,SE);
label("$E$",e,NW);
label("$F$",f,E);
label("$G$",g,S);
label("$H$",h,SE);
label("$Y$",y,SW);
label("$S$",s,NE);
[/asy] | None | None | 15.0 | None | free-form | HAERAE-HUB/HRM8K | Geometry | {'original': 'In the figure below, $ABDC,$ $EFHG,$ and $ASHY$ are all squares; $AB=EF =1$ and $AY=5$.\n\nWhat is the area of quadrilateral $DYES$?\n\n[asy]\nsize(5cm);\ndefaultpen(black+1);\npair a=(0,5); pair b=(1,5); pair c=(0,4); pair d=(1,4); pair e=(4,1); pair f=(5,1); pair g=(4,0); pair h=(5,0); pair y=(0,0); pair s=(5,5);\ndraw(a--s--h--y--a);\ndraw(c--d--b,gray);\ndraw(g--e--f,gray);\ndraw(d--y--e--s--d);\ndot(a); dot(b); dot(c); dot(d); dot(e); dot(f); dot(g); dot(h); dot(y); dot(s);\nlabel("$A$",a,NW);\nlabel("$B$",b,N);\nlabel("$C$",c,W);\nlabel("$D$",d,SE);\nlabel("$E$",e,NW);\nlabel("$F$",f,E);\nlabel("$G$",g,S);\nlabel("$H$",h,SE);\nlabel("$Y$",y,SW);\nlabel("$S$",s,NE);\n[/asy]', 'original_answer': {}, 'query_initial': '도형에서, $ABDC,$ $EFHG,$ 그리고 $ASHY$는 모두 squares입니다; $AB=EF =1$ 그리고 $AY=5$입니다.\n\n사각형 $DYES$의 넓이는 얼마입니까?', 'level': 'Level 3'} |
665 | 직사각형 $ABCD$에서, $AB=8$, $BC=9$, $H$는 $\overline{BC}$ 위에 있고 $BH=6$, $E$는 $AD$ 위에 있으며 $DE=4$이다. 선 $EC$는 선 $AH$와 $G$에서 만나며, $F$는 선 $AD$ 위에 $\overline{GF}\perp \overline{AF}$이다. $\overline{GF}$의 길이를 구하세요.
[asy]
pair A,B,C,D,I,F,G,H;
F=(0,0);
D=(6,0);
I=(10,0);
A=(15,0);
B=(15,8);
H=(9,8);
C=(6,8);
G=(0,20);
draw(A--B--C--D--cycle,linewidth(0.7));
draw(A--F--G--cycle,linewidth(0.7));
draw(G--I,linewidth(0.7));
label("4",(8,0),S);
label("8",(15,4),E);
label("6",(12,8),N);
label("$A$",A,SE);
label("$B$",B,NE);
label("$C$",C,W);
label("$D$",D,S);
label("$E$",I,S);
label("$F$",F,W);
label("$G$",G,W);
label("$H$",H,NE);
[/asy] | nan | {'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: 직사각형 $ABCD$에서, $AB=8$, $BC=9$, $H$는 $\overline{BC}$ 위에 있고 $BH=6$, $E$는 $AD$ 위에 있으며 $DE=4$이다. 선 $EC$는 선 $AH$와 $G$에서 만나며, $F$는 선 $AD$ 위에 $\overline{GF}\perp \overline{AF}$이다. $\overline{GF}$의 길이를 구하세요.
[asy]
pair A,B,C,D,I,F,G,H;
F=(0,0);
D=(6,0);
I=(10,0);
A=(15,0);
B=(15,8);
H=(9,8);
C=(6,8);
G=(0,20);
draw(A--B--C--D--cycle,linewidth(0.7));
draw(A--F--G--cycle,linewidth(0.7));
draw(G--I,linewidth(0.7));
label("4",(8,0),S);
label("8",(15,4),E);
label("6",(12,8),N);
label("$A$",A,SE);
label("$B$",B,NE);
label("$C$",C,W);
label("$D$",D,S);
label("$E$",I,S);
label("$F$",F,W);
label("$G$",G,W);
label("$H$",H,NE);
[/asy] | [{'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]}\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: 직사각형 $ABCD$에서, $AB=8$, $BC=9$, $H$는 $\\overline{BC}$ 위에 있고 $BH=6$, $E$는 $AD$ 위에 있으며 $DE=4$이다. 선 $EC$는 선 $AH$와 $G$에서 만나며, $F$는 선 $AD$ 위에 $\\overline{GF}\\perp \\overline{AF}$이다. $\\overline{GF}$의 길이를 구하세요. \n\n[asy]\npair A,B,C,D,I,F,G,H;\nF=(0,0);\nD=(6,0);\nI=(10,0);\nA=(15,0);\nB=(15,8);\nH=(9,8);\nC=(6,8);\nG=(0,20);\ndraw(A--B--C--D--cycle,linewidth(0.7));\ndraw(A--F--G--cycle,linewidth(0.7));\ndraw(G--I,linewidth(0.7));\nlabel("4",(8,0),S);\nlabel("8",(15,4),E);\nlabel("6",(12,8),N);\nlabel("$A$",A,SE);\nlabel("$B$",B,NE);\nlabel("$C$",C,W);\nlabel("$D$",D,S);\nlabel("$E$",I,S);\nlabel("$F$",F,W);\nlabel("$G$",G,W);\nlabel("$H$",H,NE);\n[/asy]'}, {'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: 직사각형 $ABCD$에서, $AB=8$, $BC=9$, $H$는 $\overline{BC}$ 위에 있고 $BH=6$, $E$는 $AD$ 위에 있으며 $DE=4$이다. 선 $EC$는 선 $AH$와 $G$에서 만나며, $F$는 선 $AD$ 위에 $\overline{GF}\perp \overline{AF}$이다. $\overline{GF}$의 길이를 구하세요.
[asy]
pair A,B,C,D,I,F,G,H;
F=(0,0);
D=(6,0);
I=(10,0);
A=(15,0);
B=(15,8);
H=(9,8);
C=(6,8);
G=(0,20);
draw(A--B--C--D--cycle,linewidth(0.7));
draw(A--F--G--cycle,linewidth(0.7));
draw(G--I,linewidth(0.7));
label("4",(8,0),S);
label("8",(15,4),E);
label("6",(12,8),N);
label("$A$",A,SE);
label("$B$",B,NE);
label("$C$",C,W);
label("$D$",D,S);
label("$E$",I,S);
label("$F$",F,W);
label("$G$",G,W);
label("$H$",H,NE);
[/asy]
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type**:
- The query involves solving a geometric problem using given conditions and relationships between points and lines in a rectangle. This requires logical reasoning and mathematical problem-solving skills.
- Therefore, the task type is classified as **'reasoning'**.
2. **Target Type**:
- The query is presented in Korean, but the mathematical problem itself is universal and not specific to any particular country or cultural region.
- Hence, the target type is classified as **'general'**.
3. **Subject Type**:
- The problem involves geometric concepts such as points, lines, perpendicularity, and distances within a rectangle.
- These concepts fall under the category of mathematics, specifically geometry.
- Therefore, the subject type is classified as **'Science/Math'**.
### Final Category:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 직사각형 $ABCD$에서, $AB=8$, $BC=9$, $H$는 $\overline{BC}$ 위에 있고 $BH=6$, $E$는 $AD$ 위에 있으며 $DE=4$이다. 선 $EC$는 선 $AH$와 $G$에서 만나며, $F$는 선 $AD$ 위에 $\overline{GF}\perp \overline{AF}$이다. $\overline{GF}$의 길이를 구하세요.
[asy]
pair A,B,C,D,I,F,G,H;
F=(0,0);
D=(6,0);
I=(10,0);
A=(15,0);
B=(15,8);
H=(9,8);
C=(6,8);
G=(0,20);
draw(A--B--C--D--cycle,linewidth(0.7));
draw(A--F--G--cycle,linewidth(0.7));
draw(G--I,linewidth(0.7));
label("4",(8,0),S);
label("8",(15,4),E);
label("6",(12,8),N);
label("$A$",A,SE);
label("$B$",B,NE);
label("$C$",C,W);
label("$D$",D,S);
label("$E$",I,S);
label("$F$",F,W);
label("$G$",G,W);
label("$H$",H,NE);
[/asy] | None | None | 20.0 | None | free-form | HAERAE-HUB/HRM8K | Geometry | {'original': 'In rectangle $ABCD$, we have $AB=8$, $BC=9$, $H$ is on $\\overline{BC}$ with $BH=6$, $E$ is on $AD$ with $DE=4$, line $EC$ intersects line $AH$ at $G$, and $F$ is on line $AD$ with $\\overline{GF}\\perp \\overline{AF}$. Find the length $\\overline{GF}$.\n\n[asy]\npair A,B,C,D,I,F,G,H;\nF=(0,0);\nD=(6,0);\nI=(10,0);\nA=(15,0);\nB=(15,8);\nH=(9,8);\nC=(6,8);\nG=(0,20);\ndraw(A--B--C--D--cycle,linewidth(0.7));\ndraw(A--F--G--cycle,linewidth(0.7));\ndraw(G--I,linewidth(0.7));\nlabel("4",(8,0),S);\nlabel("8",(15,4),E);\nlabel("6",(12,8),N);\nlabel("$A$",A,SE);\nlabel("$B$",B,NE);\nlabel("$C$",C,W);\nlabel("$D$",D,S);\nlabel("$E$",I,S);\nlabel("$F$",F,W);\nlabel("$G$",G,W);\nlabel("$H$",H,NE);\n[/asy]', 'original_answer': {}, 'query_initial': '직사각형 $ABCD$에서 $AB=8$, $BC=9$, $H$는 $\\overline{BC}$ 상에 있으며 $BH=6$, $E$는 $AD$ 상에 있고 $DE=4$이다. 선 $EC$는 선 $AH$와 $G$에서 교차하고, $F$는 선 $AD$ 상에 있으며 $\\overline{GF}\\perp \\overline{AF}$이다. $\\overline{GF}$의 길이를 구하시오.', 'level': 'Level 4'} |
694 | 비행기가 3시간 동안 1200마일을 여행합니다. 같은 속도로 추가로 2000마일을 여행하는 데 몇 시간이 더 걸릴까요? | nan | {'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: 비행기가 3시간 동안 1200마일을 여행합니다. 같은 속도로 추가로 2000마일을 여행하는 데 몇 시간이 더 걸릴까요? | [{'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: 비행기가 3시간 동안 1200마일을 여행합니다. 같은 속도로 추가로 2000마일을 여행하는 데 몇 시간이 더 걸릴까요?"}, {'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: 비행기가 3시간 동안 1200마일을 여행합니다. 같은 속도로 추가로 2000마일을 여행하는 데 몇 시간이 더 걸릴까요?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type**:
- The query asks for the calculation of time required to travel a certain distance given a constant speed. This involves understanding and applying mathematical concepts, specifically the relationship between distance, speed, and time.
- This type of problem requires logical reasoning and mathematical calculations to derive the answer.
- 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 not specific to any particular country or cultural region.
- It can be understood and solved by anyone with basic mathematical knowledge, regardless of their location.
- Hence, the target type is categorized as **'General'**.
3. **Subject Type**:
- The problem involves calculating time based on distance and speed, which falls under basic mathematical principles.
- This type of query is related to the field of mathematics.
- Therefore, the subject type is categorized as **'Science/Math'**.
### Summary:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 비행기가 3시간 동안 1200마일을 여행합니다. 같은 속도로 추가로 2000마일을 여행하는 데 몇 시간이 더 걸릴까요? | None | None | 5.0 | None | free-form | HAERAE-HUB/HRM8K | None | {'original': 'A plane travels 1200 miles in 3 hours. At the same rate, how many additional hours would it take to travel an additional 2000 miles?', 'original_answer': {}, 'query_initial': None, 'level': None} |
846 | 어떤 수 $x$가 그 역수보다 3 더 큽니다. $\left(x-\frac{1}{x}\right)^4$의 값은 얼마입니까? | nan | {'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: 어떤 수 $x$가 그 역수보다 3 더 큽니다. $\left(x-\frac{1}{x}\right)^4$의 값은 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: 어떤 수 $x$가 그 역수보다 3 더 큽니다. $\\left(x-\\frac{1}{x}\\right)^4$의 값은 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: 어떤 수 $x$가 그 역수보다 3 더 큽니다. $\left(x-\frac{1}{x}\right)^4$의 값은 얼마입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type**: The query involves solving a mathematical problem that requires reasoning through algebraic manipulation and understanding of mathematical concepts. The problem is not merely about recalling a fact but involves logical steps to derive the answer. Therefore, the task type is classified as **Reasoning**.
2. **Target Type**: The query is written in Korean, but the mathematical problem itself is general and not specific to any cultural context. Hence, the target type is classified as **General**.
3. **Subject Type**: The content of the query is related to mathematics, specifically algebra. It involves understanding and manipulating algebraic expressions and solving equations. Therefore, the subject type is classified under **Science/Math**.
### Summary:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 어떤 수 $x$가 그 역수보다 3 더 큽니다. $\left(x-\frac{1}{x}\right)^4$의 값은 얼마입니까? | None | None | 81.0 | None | free-form | HAERAE-HUB/HRM8K | Algebra | {'original': 'A number $x$ is 3 larger than its reciprocal. What is the value of $\\left(x-\\frac{1}{x}\\right)^4$?', 'original_answer': {}, 'query_initial': '어떤 수 $x$가 그 역수보다 3만큼 더 큽니다. $\\left(x-\\frac{1}{x}\\right)^4$의 값은 얼마입니까?', 'level': 'Level 3'} |
1098 | $5 \times 5$ 격자에서, 15개의 칸에는 X가 들어있고 10개의 칸은 비어있습니다. 각 행과 각 열에 정확히 세 개의 X가 들어가도록 하려면 최소 몇 개의 X를 옮겨야 할까요? | nan | {'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: $5 \times 5$ 격자에서, 15개의 칸에는 X가 들어있고 10개의 칸은 비어있습니다. 각 행과 각 열에 정확히 세 개의 X가 들어가도록 하려면 최소 몇 개의 X를 옮겨야 할까요? | [{'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: $5 \\times 5$ 격자에서, 15개의 칸에는 X가 들어있고 10개의 칸은 비어있습니다. 각 행과 각 열에 정확히 세 개의 X가 들어가도록 하려면 최소 몇 개의 X를 옮겨야 할까요?"}, {'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: $5 \times 5$ 격자에서, 15개의 칸에는 X가 들어있고 10개의 칸은 비어있습니다. 각 행과 각 열에 정확히 세 개의 X가 들어가도록 하려면 최소 몇 개의 X를 옮겨야 할까요?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type**:
- The query involves a problem that requires logical thinking and problem-solving skills to determine the minimum number of moves needed to achieve a specific arrangement of X's in a grid.
- This type of problem is characteristic of reasoning-based questions, as it involves analyzing the current state of the grid and figuring out the optimal moves to achieve the desired configuration.
- Therefore, the task type is classified as 'Reasoning'.
2. **Target Type**:
- The query is written in Korean, which suggests that it is targeting a Korean-speaking audience.
- However, the problem itself is a general mathematical puzzle that can be understood and solved by anyone regardless of their cultural background.
- Given that the problem is not specific to any particular country or cultural region, it is classified as 'General'.
3. **Subject Type**:
- The query involves a mathematical problem related to arranging elements in a grid, which falls under the domain of combinatorics and discrete mathematics.
- This type of problem is typically studied within the broader field of mathematics.
- Therefore, the subject type is classified as 'Science/Math'.
Based on the above analysis, 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"
]
}``` | None | None | None | $5 \times 5$ 격자에서, 15개의 칸에는 X가 들어있고 10개의 칸은 비어있습니다. 각 행과 각 열에 정확히 세 개의 X가 들어가도록 하려면 최소 몇 개의 X를 옮겨야 할까요? | None | None | 2 | None | free-form | HAERAE-HUB/HRM8K | None | {'original': "In the $5 \\times 5$ grid shown, 15 cells contain X's and 10 cells are empty. What is the smallest number of X's that must be moved so that each row and each column contains exactly three X's?", 'original_answer': {}, 'query_initial': '$5 \\times 5$ 격자에서, 15개의 칸에는 X가 들어있고 10개의 칸은 비어있습니다. 각 행과 각 열에 정확히 세 개의 X가 들어가도록 하려면 최소 몇 개의 X를 옮겨야 할까요?', 'level': 2.0} |
1327 | 5자리 수 $\overline{a b c d e}$에서 $b$와 $d$가 각각 자신의 왼쪽과 오른쪽 숫자의 합일 때 (즉, $b=a+c$이고 $d=c+e$), 그러한 수는 몇 개 존재하는가? | nan | {'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: 5자리 수 $\overline{a b c d e}$에서 $b$와 $d$가 각각 자신의 왼쪽과 오른쪽 숫자의 합일 때 (즉, $b=a+c$이고 $d=c+e$), 그러한 수는 몇 개 존재하는가? | [{'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: 5자리 수 $\\overline{a b c d e}$에서 $b$와 $d$가 각각 자신의 왼쪽과 오른쪽 숫자의 합일 때 (즉, $b=a+c$이고 $d=c+e$), 그러한 수는 몇 개 존재하는가?"}, {'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: 5자리 수 $\overline{a b c d e}$에서 $b$와 $d$가 각각 자신의 왼쪽과 오른쪽 숫자의 합일 때 (즉, $b=a+c$이고 $d=c+e$), 그러한 수는 몇 개 존재하는가?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type**:
- The query involves determining the number of five-digit numbers that satisfy certain mathematical conditions. This requires logical deduction and mathematical reasoning to solve, rather than recalling factual knowledge or making value judgments.
- Therefore, the task type is classified as **Reasoning**.
2. **Target Type**:
- The query is presented in a general mathematical context without any specific cultural or regional focus. It is a universal mathematical problem that can be understood and solved by anyone with the appropriate mathematical background.
- Hence, the target type is **General**.
3. **Subject Type**:
- The query is related to a mathematical problem involving digits and their relationships within a number. This falls squarely within the domain of mathematics.
- Therefore, the subject type is **Science/Math**.
### Conclusion:
The query requires reasoning to solve a mathematical problem, is universally applicable, and pertains to the field of mathematics. Thus, the appropriate category is:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 5자리 수 $\overline{a b c d e}$에서 $b$와 $d$가 각각 자신의 왼쪽과 오른쪽 숫자의 합일 때 (즉, $b=a+c$이고 $d=c+e$), 그러한 수는 몇 개 존재하는가? | None | None | 330 | None | free-form | HAERAE-HUB/HRM8K | None | {'original': 'How many 5-digit numbers $\\overline{a b c d e}$ exist such that digits $b$ and $d$ are each the sum of the digits to their immediate left and right? (That is, $b=a+c$ and $d=c+e$.)', 'original_answer': {}, 'query_initial': '5자리 수 $\\overline{a b c d e}$에서 $b$와 $d$가 각각 자신의 왼쪽과 오른쪽 숫자의 합일 때 (즉, $b=a+c$이고 $d=c+e$), 그러한 수는 몇 개 존재하는가?', 'level': 4.0} |
1734 | Carlos Montado는 2002년 11월 9일 토요일에 태어났습니다. Carlos가 태어난 지 706일이 된 날은 무슨 요일입니까? (전체 요일을 작성하십시오.)
1. 금요일
2. 목요일
3. 수요일
4. 화요일
| nan | {'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: Carlos Montado는 2002년 11월 9일 토요일에 태어났습니다. Carlos가 태어난 지 706일이 된 날은 무슨 요일입니까? (전체 요일을 작성하십시오.)
1. 금요일
2. 목요일
3. 수요일
4. 화요일
| [{'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: Carlos Montado는 2002년 11월 9일 토요일에 태어났습니다. Carlos가 태어난 지 706일이 된 날은 무슨 요일입니까? (전체 요일을 작성하십시오.)\n\n1. 금요일\n2. 목요일\n3. 수요일\n4. 화요일\n"}, {'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: Carlos Montado는 2002년 11월 9일 토요일에 태어났습니다. Carlos가 태어난 지 706일이 된 날은 무슨 요일입니까? (전체 요일을 작성하십시오.)
1. 금요일
2. 목요일
3. 수요일
4. 화요일
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
**Task Type: Reasoning**
- The query requires the calculation of the day of the week based on a given date and a specific number of days after that date. This involves logical and mathematical reasoning to determine the correct answer.
**Target Type: General**
- The query is written in Korean, but the problem itself is a general mathematical problem that does not target any specific country or cultural region. Therefore, it is categorized as 'General'.
**Subject Type: Science/Math**
- The query involves calculating the day of the week, which is a mathematical problem. It requires understanding of how days, weeks, and dates work together, which falls under the category of 'Science/Math'.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | Carlos Montado는 2002년 11월 9일 토요일에 태어났습니다. Carlos가 태어난 지 706일이 된 날은 무슨 요일입니까? (전체 요일을 작성하십시오.)
1. 금요일
2. 목요일
3. 수요일
4. 화요일
| None | None | 1 | None | free-form | HAERAE-HUB/HRM8K | high_school_mathematics | {'original': 'Carlos Montado was born on Saturday, November 9, 2002. On what day of the week will Carlos be 706 days old? (Spell out the entire day of the week.)\n\n1. Friday\n2. Thursday\n3. Wednesday\n4. Tuesday\n', 'original_answer': {}, 'query_initial': None, 'level': None} |
2002 | 종이를 세로로 접었다 펴면 간단한 접이식 신문을 만들 수 있다. 예를 들어, 페이지 1은 왼쪽 뒷면에 인쇄되고, 페이지 2는 왼쪽 앞면에 인쇄된다. 그리고 페이지 32는 오른쪽 뒷면에, 페이지 31은 오른쪽 앞면에 인쇄되기도 한다. 32페이지짜리 타블로이드를 만드는 데 몇 장의 종이가 필요할까? | nan | {'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: 종이를 세로로 접었다 펴면 간단한 접이식 신문을 만들 수 있다. 예를 들어, 페이지 1은 왼쪽 뒷면에 인쇄되고, 페이지 2는 왼쪽 앞면에 인쇄된다. 그리고 페이지 32는 오른쪽 뒷면에, 페이지 31은 오른쪽 앞면에 인쇄되기도 한다. 32페이지짜리 타블로이드를 만드는 데 몇 장의 종이가 필요할까? | [{'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: 종이를 세로로 접었다 펴면 간단한 접이식 신문을 만들 수 있다. 예를 들어, 페이지 1은 왼쪽 뒷면에 인쇄되고, 페이지 2는 왼쪽 앞면에 인쇄된다. 그리고 페이지 32는 오른쪽 뒷면에, 페이지 31은 오른쪽 앞면에 인쇄되기도 한다. 32페이지짜리 타블로이드를 만드는 데 몇 장의 종이가 필요할까?"}, {'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: 종이를 세로로 접었다 펴면 간단한 접이식 신문을 만들 수 있다. 예를 들어, 페이지 1은 왼쪽 뒷면에 인쇄되고, 페이지 2는 왼쪽 앞면에 인쇄된다. 그리고 페이지 32는 오른쪽 뒷면에, 페이지 31은 오른쪽 앞면에 인쇄되기도 한다. 32페이지짜리 타블로이드를 만드는 데 몇 장의 종이가 필요할까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
1. **Task Type: Reasoning**
- The query involves a problem that requires logical thinking and mathematical reasoning to solve. The user needs to determine the number of sheets of paper required to create a 32-page tabloid by understanding the folding and printing pattern. This type of problem-solving falls under reasoning rather than simply recalling knowledge.
2. **Target Type: General**
- The query is written in Korean, but the problem itself is a general mathematical problem that can be understood and solved by anyone regardless of their cultural or regional background. Therefore, it targets a general audience.
3. **Subject Type: Science/Math**
- The content of the query involves mathematical concepts related to folding and printing pages in a specific order. This falls under the category of Science/Math as it requires understanding and applying mathematical principles to solve the problem.
### Conclusion:
The query is classified as a reasoning task because it involves logical and mathematical problem-solving. It targets a general audience and falls under the subject area of Science/Math.
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 종이를 세로로 접었다 펴면 간단한 접이식 신문을 만들 수 있다. 예를 들어, 페이지 1은 왼쪽 뒷면에 인쇄되고, 페이지 2는 왼쪽 앞면에 인쇄된다. 그리고 페이지 32는 오른쪽 뒷면에, 페이지 31은 오른쪽 앞면에 인쇄되기도 한다. 32페이지짜리 타블로이드를 만드는 데 몇 장의 종이가 필요할까? | None | None | 8.0 | None | free-form | HAERAE-HUB/HRM8K | None | {'original': 'A simple folding newspaper or tabloid can be made by folding a piece of paper vertically and unfolding. Then, say, page 1 is printed on the left back, page 2 is printed on the left front, and then, perhaps page 32 is printed on the right back, and page 31 is printed on the right front. How many pieces of paper would be used in a 32-page tabloid?', 'original_answer': {}, 'query_initial': None, 'level': None} |
2244 | 아래는 함수 $y=h(x)$의 그래프 일부입니다:
[asy]
import graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.75,xmax=8.25,ymin=-1.25,ymax=10.25;
pen cqcqcq=rgb(0.75,0.75,0.75);
/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype("2 2"); real gx=1,gy=1;
for(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);
Label laxis; laxis.p=fontsize(10);
xaxis("",xmin,xmax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); yaxis("",ymin,ymax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true);
real f1(real x){return (x-0.5)*(x-2.5)*(x-6.5)*(x-7.5)/16+x;}
draw(graph(f1,-0.25,8.25),linewidth(1));
clip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);
label("$y=h(x)$",(8.5,8),E);
[/asy]
$h(x)>x$인 구간에 표시된 ($0\le x\le 8$) 모든 정수 $x$의 합은 얼마입니까? | nan | {'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: 아래는 함수 $y=h(x)$의 그래프 일부입니다:
[asy]
import graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.75,xmax=8.25,ymin=-1.25,ymax=10.25;
pen cqcqcq=rgb(0.75,0.75,0.75);
/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype("2 2"); real gx=1,gy=1;
for(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);
Label laxis; laxis.p=fontsize(10);
xaxis("",xmin,xmax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); yaxis("",ymin,ymax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true);
real f1(real x){return (x-0.5)*(x-2.5)*(x-6.5)*(x-7.5)/16+x;}
draw(graph(f1,-0.25,8.25),linewidth(1));
clip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);
label("$y=h(x)$",(8.5,8),E);
[/asy]
$h(x)>x$인 구간에 표시된 ($0\le x\le 8$) 모든 정수 $x$의 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]}\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: 아래는 함수 $y=h(x)$의 그래프 일부입니다:\n\n[asy]\nimport graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.75,xmax=8.25,ymin=-1.25,ymax=10.25;\n\npen cqcqcq=rgb(0.75,0.75,0.75);\n\n/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype("2 2"); real gx=1,gy=1;\nfor(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);\n\nLabel laxis; laxis.p=fontsize(10);\n\nxaxis("",xmin,xmax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); yaxis("",ymin,ymax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true);\nreal f1(real x){return (x-0.5)*(x-2.5)*(x-6.5)*(x-7.5)/16+x;}\ndraw(graph(f1,-0.25,8.25),linewidth(1));\nclip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);\nlabel("$y=h(x)$",(8.5,8),E);\n[/asy]\n\n$h(x)>x$인 구간에 표시된 ($0\\le x\\le 8$) 모든 정수 $x$의 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: 아래는 함수 $y=h(x)$의 그래프 일부입니다:
[asy]
import graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.75,xmax=8.25,ymin=-1.25,ymax=10.25;
pen cqcqcq=rgb(0.75,0.75,0.75);
/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype("2 2"); real gx=1,gy=1;
for(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);
Label laxis; laxis.p=fontsize(10);
xaxis("",xmin,xmax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); yaxis("",ymin,ymax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true);
real f1(real x){return (x-0.5)*(x-2.5)*(x-6.5)*(x-7.5)/16+x;}
draw(graph(f1,-0.25,8.25),linewidth(1));
clip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);
label("$y=h(x)$",(8.5,8),E);
[/asy]
$h(x)>x$인 구간에 표시된 ($0\le x\le 8$) 모든 정수 $x$의 합은 얼마입니까?
Category:{'task_type': 'Reasoning', 'target_type': 'General', 'subject_type': ['Science/Math']}
Rationale: | ### Rationale:
#### Task Type:
The query involves analyzing a mathematical function and its graph to determine the sum of specific integer values within a given range. This requires understanding the behavior of the function and performing calculations based on that understanding. Therefore, the task involves reasoning through the problem to derive the correct answer.
#### Target Type:
The query is presented in Korean, but the mathematical content is universal and not specific to any particular country or cultural region. Thus, it is best categorized as targeting a general audience.
#### Subject Type:
The query is focused on a mathematical function and involves concepts such as graph interpretation and summation of integers within a specified range. This places the query squarely within the domain of mathematics.
### Conclusion:
- **Task Type**: Reasoning
- **Target Type**: General
- **Subject Type**: Science/Math
```json
{
"task_type": "Reasoning",
"target_type": "General",
"subject_type": [
"Science/Math"
]
}``` | None | None | None | 아래는 함수 $y=h(x)$의 그래프 일부입니다:
[asy]
import graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.75,xmax=8.25,ymin=-1.25,ymax=10.25;
pen cqcqcq=rgb(0.75,0.75,0.75);
/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype("2 2"); real gx=1,gy=1;
for(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);
Label laxis; laxis.p=fontsize(10);
xaxis("",xmin,xmax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); yaxis("",ymin,ymax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true);
real f1(real x){return (x-0.5)*(x-2.5)*(x-6.5)*(x-7.5)/16+x;}
draw(graph(f1,-0.25,8.25),linewidth(1));
clip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);
label("$y=h(x)$",(8.5,8),E);
[/asy]
$h(x)>x$인 구간에 표시된 ($0\le x\le 8$) 모든 정수 $x$의 합은 얼마입니까? | None | None | 26.0 | None | free-form | HAERAE-HUB/HRM8K | Algebra | {'original': 'Below is a portion of the graph of a function, $y=h(x)$:\n\n[asy]\nimport graph; size(8cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); pen ds=black; real xmin=-0.75,xmax=8.25,ymin=-1.25,ymax=10.25;\n\npen cqcqcq=rgb(0.75,0.75,0.75);\n\n/*grid*/ pen gs=linewidth(0.7)+cqcqcq+linetype("2 2"); real gx=1,gy=1;\nfor(real i=ceil(xmin/gx)*gx;i<=floor(xmax/gx)*gx;i+=gx) draw((i,ymin)--(i,ymax),gs); for(real i=ceil(ymin/gy)*gy;i<=floor(ymax/gy)*gy;i+=gy) draw((xmin,i)--(xmax,i),gs);\n\nLabel laxis; laxis.p=fontsize(10);\n\nxaxis("",xmin,xmax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); yaxis("",ymin,ymax,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true);\nreal f1(real x){return (x-0.5)*(x-2.5)*(x-6.5)*(x-7.5)/16+x;}\ndraw(graph(f1,-0.25,8.25),linewidth(1));\nclip((xmin,ymin)--(xmin,ymax)--(xmax,ymax)--(xmax,ymin)--cycle);\nlabel("$y=h(x)$",(8.5,8),E);\n[/asy]\n\nWhat is the sum of all integers $x$ in the interval shown ($0\\le x\\le 8$) such that $h(x)>x$ ?', 'original_answer': {}, 'query_initial': '보여진 구간에서 ($0 \\le x \\le 8$) 함수 $h(x)$가 $x$보다 큰 모든 정수 $x$의 합은 얼마인가?', 'level': 'Level 5'} |
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