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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: ...
[{'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_t...
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 th...
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 sa...
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_i...
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: ...
[{'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_t...
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 th...
### 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 mathemat...
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: ...
[{'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_t...
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 th...
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 ...
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': {}, ...
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),...
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: ...
[{'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 indicat...
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 th...
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 a...
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),...
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 geomet...
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...
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: ...
[{'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 indicat...
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 th...
### 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 k...
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...
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); pai...
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--...
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: ...
[{'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 indicat...
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 th...
### 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 Ty...
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--...
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);\...
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: ...
[{'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_t...
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 th...
### 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 reas...
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: ...
[{'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_t...
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 th...
### 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 ...
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: ...
[{'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_t...
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 th...
### 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 ana...
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 개...
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: ...
[{'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_t...
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 th...
### 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 cl...
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 $...
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: ...
[{'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_t...
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 th...
### 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 ...
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: ...
[{'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_t...
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 th...
### 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...
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 ...
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)...
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: ...
[{'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 indicat...
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 th...
### 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 reasonin...
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)...
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+linetyp...
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