problem_id int64 2 263k | problem stringlengths 0 3.45k | data_type stringclasses 2
values | problem_type stringclasses 5
values | options listlengths 0 10 | solution stringlengths 18 13.5k | path stringlengths 16 138 | data_source stringclasses 54
values |
|---|---|---|---|---|---|---|---|
19,037 | Calculate the total length of decorative lights used on the side of the building shown below. (Unit: meters)_ | image | numerical | [] | <answer>38</answer> | ./Math/Multimath-300k/89c22004efff3b11c73ecc5af884774f.png | Multimath-300k |
19,040 | Please write out the expression of the formula in the image using LaTeX format. | image | OCR | [] | <answer>B D = / A B ^ { 2 } - A D ^ { 2 } = 6</answer> | ./OCR/HME100k/identity_28376.png | hme100k |
19,043 | Please write out the expression of the formula in the image using LaTeX format. | image | OCR | [] | <answer>( 2 + 1 1 0 ) \times 3 7 \div 2 = 2 0 7 2</answer> | ./OCR/HME100k/identity_52855.png | hme100k |
19,045 | Which object was tidied up by the person? | video | multiple choice | [
"A. The clothes.",
"B. The table.",
"C. The broom.",
"D. The towel."
] | <answer>A</answer> | ./STAR/APTS7.mp4 | STAR |
19,047 | Which question can Jack's experiment best address? | image | multiple choice | [
"A. Do steel nails take fewer days to rust in water compared to vinegar?",
"B. Do steel nails rust in fewer days when submerged in a large volume of liquid compared to a small volume?"
] | <answer>A</answer> | ./Knowledge/ScienceQA/images/20685.png | ScienceQA |
19,052 | How does the speed of the hand's movements change when stirring the water with the fork? | video | multiple choice | [
"A. The hand moves erratically",
"B. The hand moves slowly",
"C. The hand moves at a constant speed",
"D. The hand moves quickly"
] | <answer>B</answer> | ./LLaVA-Video-178K/liwei_youtube_videos/videos/youtube_video_2024/ytb_lg2zZRLQU1A.mp4 | LLaVA-Video-178K/30_60_s_youtube_v0_1 |
19,054 | What does the person do after entering the laundry room? | video | multiple choice | [
"A. Opens the washing machine",
"B. Immediately retrieves an item from the shelf",
"C. Starts cleaning or organizing the area",
"D. Sits down on the floor"
] | <answer>C</answer> | ./LLaVA-Video-178K/academic_source/Charades/MNC10.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,060 | As shown in the figure, point $$E$$ is inside the square $$ABCD$$ such that $$∠AEB=90^{\circ}$$, $$AE=6$$, and $$BE=8$$. The area of the shaded part is ______ . | image | numerical | [] | <answer>76</answer> | ./Math/Multimath-300k/4b072e51e6c581a25aa2d10ed62e088c.png | Multimath-300k |
19,067 | Add 3 tiny rubber objects. How many tiny rubber objects are left? | image | numerical | [] | <answer>5</answer> | ./Math/CLEVR-Math/images/CLEVR_train_018408.png | CLEVR-Math |
19,068 | Can you tell me the text content of this image? | image | OCR | [] | <answer>Japan</answer> | ./OCR/Rendered_Text/cauldron/rendered_text/images/rendered_text_00009009.png | rendered_text(cauldron) |
19,070 | What change occurs to the material as the video progresses? | video | multiple choice | [
"A. The material is cut into smaller pieces",
"B. The material changes color",
"C. The material is more firmly secured to the ceiling",
"D. The material is removed from the ceiling"
] | <answer>C</answer> | ./LLaVA-Video-178K/academic_source/activitynet/v_hzpFVURhKwo.mp4 | LLaVA-Video-178K/2_3_m_academic_v0_1 |
19,072 | How tall is the woman wearing gray pants? Please measure it in meters. | image | regression | [] | <answer>1.02</answer> | ./Spatial/Spacellava/image_7885.png | Spacellava |
19,073 | Why does the person open the laptop during the process of loading the washing machine? | video | free-form | [] | <answer>The description does not provide a specific reason why the person opens the laptop.</answer> | ./LLaVA-Video-178K/academic_source/Charades/2UZUJ.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,076 | The output of the pseudo-code shown in the image is ____. | image | numerical | [] | <answer>18</answer> | ./Math/Multimath-300k/d952e4fce5547da43cb71cc8fe7a04bb.png | Multimath-300k |
19,077 | Convey the narrative and visual elements of the video in detail. | video | free-form | [] | <answer>The video begins with a person standing in a wooden-floored room, wearing a black t-shirt and red plaid pants, engaged in a phone conversation. The room features a wooden interior with various items, including a stack of wooden planks leaning against the wall and a black cabinet with a 'PRESTONE' sign on it. The person walks forward from the doorway into the room, passing by a dining table with wooden chairs and a coat rack with several jackets hanging on it. They eventually stand near the coat rack, still on the phone, and look towards a cabinet with glass doors.
The narrative continues with the person still near the coat rack and the cabinet with glass doors, maintaining their phone conversation. They then move towards the dining table, pausing briefly to look at it. The table has a red cloth item and a gray object on it. The person pulls out a wooden chair and sits down at the table, still holding the phone to their ear. They place their other hand on the red cloth item, adjusting or moving it slightly.
The video wraps up with the person seated at the dining table, continuing their phone conversation. They are seen adjusting or moving the red cloth item on the table. The background remains consistent, showing the wooden interior, the cabinet with glass doors, and the coat rack with several jackets hanging on it. The person continues to handle the red cloth item, occasionally looking around the room, and the video concludes with them still seated at the table, holding the red cloth item in their hand.</answer> | ./LLaVA-Video-178K/academic_source/Charades/8I352.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,078 | Point out the elements visible in the diagram. | image | free-form | [] | <answer>The diagram displays six points, labeled A, B, C, D, E, and F, positioned on a plane. These points are connected by line segments, and the lines DE and AF intersect at point O.</answer> | ./Chart/VisualWebInstruct/09fd5777-66af-4cc5-afaf-f67d5afd3775.png | VisualWebInstruct(filtered) |
19,081 | Write a comprehensive depiction of the entire video clip. | video | free-form | [] | <answer>The video begins with a close-up of a white bowl filled with a light brown, smooth, and slightly shiny dough placed on a dark countertop. The dough appears to be well-risen and has a soft texture. A pair of hands with red nail polish starts to press down on the dough, deflating it slightly. The hands continue to knead and fold the dough within the bowl, working it thoroughly. The video develops through the same white bowl filled with light brown dough on a dark countertop. The same pair of hands, with red nail polish, is seen kneading the dough. The hands work the dough by pressing, folding, and stretching it within the bowl. The dough appears smooth and slightly shiny, indicating it is well-mixed. The video wraps up with a focus on the hands' movements, ensuring the dough is thoroughly kneaded and ready for the next step in the preparation process.</answer> | ./LLaVA-Video-178K/academic_source/youcook2/419/fetFXsc6G5s/split_4.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,083 | What is the difference between the total number of rubber things and the total number of metallic bicycles? | image | numerical | [] | <answer>0</answer> | ./Math/Super-CLEVR/images/superCLEVR_new_001598.png | Super-CLEVR |
19,084 | Please write out the expression of the formula in the image using LaTeX format. | image | OCR | [] | <answer>6 ^ { 6 } \cdot 6 ^ { 2 } = ( 6 ^ { x } ) ^ { 4 }</answer> | ./OCR/ChromeWriting/identity_1441.png | chrome_writting |
19,085 | How close is the shield intricate pattern design from the a red hat with the man? Please measure it in inches. | image | regression | [] | <answer>6.65</answer> | ./Spatial/OpenSpaces/image_7626.png | OpenSpaces |
19,088 | Why does the person flex their feet and shift their weight from one foot to the other? | video | multiple choice | [
"A. To showcase the detailed tread pattern of the sneakers",
"B. To adjust their posture",
"C. To sit down",
"D. To remove their sneakers"
] | <answer>A</answer> | ./LLaVA-Video-178K/academic_source/activitynet/v1-3/train_val/v_sEvP3GFbLdw.mp4 | LLaVA-Video-178K/2_3_m_academic_v0_1 |
19,089 | Determine the equation of the linear function represented by the table, and use it to find the value of \( y \) when \( x = 20 \) | image | numerical | [] | <answer>-6</answer> | ./Chart/TabMWP/images/1779.png | TabMWP |
19,092 | Is the amount of Gold smaller than the amount of Steel Blue? | image | multiple choice | [
"A. no",
"B. yes"
] | <answer>A</answer> | ./Chart/FigureQA/images/30469.png | FigureQA |
19,094 | Which of the following items is NOT mentioned as part of the bathroom setting? | video | multiple choice | [
"A. Green towel",
"B. Purple sink",
"C. Pink mat",
"D. Washing machine"
] | <answer>A</answer> | ./LLaVA-Video-178K/liwei_youtube_videos/videos/youtube_video_2024/ytb_cli3p-V8NH4.mp4 | LLaVA-Video-178K/30_60_s_youtube_v0_1 |
19,095 | What is the higher amount of points for one credit you can get from the best four of a kind | image | free-form | [] | <answer>100.</answer> | ./Chart/RoBUT_SQA/cauldron/robut_sqa/images/robut_sqa_00001248.png | robut_sqa(cauldron) |
19,096 | Can you elaborate on the message conveyed by this graph? | image | free-form | [] | <answer>The statistic illustrates the total amount of private equity divestments (exits) for companies in France from 2007 to 2016. Private equity is the OTC provision of equity capital through private or institutional investments with the participation of companies in another company for a limited time in order to generate financial benefits. It can be seen that total private equity divestments fluctuated overall during the period under observation, reaching a value of over 10.4 billion euros as of 2016. The largest total value of private equity divestments was found in 2014, when total private equity divestments of almost 11.4 billion euros were recorded.</answer> | ./Chart/Chart2Text/cauldron/chart2text/images/chart2text_00008794.png | chart2text(cauldron) |
19,100 | What words are inscribed in this image? | image | OCR | [] | <answer>" Where you think we are? " he asked rudely.</answer> | ./OCR/IAM/cauldron/iam/images/iam_00004486.png | iam(cauldron) |
19,101 | Let the function f(x) be differentiable over R, with the second derivative f''(x). The graph of y = (x-1)f''(x) is shown as in the image. Then (__) | image | multiple choice | [
"A. f(x) has a maximum value at f(2) and a minimum value at f(1)",
"B. f(x) has a maximum value at f(-2) and a minimum value at f(1)",
"C. f(x) has a maximum value at f(2) and a minimum value at f(-2)",
"D. f(x) has a maximum value at f(-2) and a minimum value at f(2)"
] | <answer>C</answer> | ./Math/Multimath-300k/1eb47df9d2ea0d7475076df38eaba455.png | Multimath-300k |
19,102 | How wide is the silver fork in bowl of pasta and vegetables? Please measure it in feet. | image | regression | [] | <answer>12.25</answer> | ./Spatial/Spacellava/image_3149.png | Spacellava |
19,103 | What is the common theme or characteristic among the images labeled as "A positive sample" in the provided image? | image | free-form | [] | <answer>The images labeled as "A positive sample" both feature vibrant, colorful scenes from nature. The first shows a close-up of purple flowers, while the second showcases a scenic landscape with a colorful sunset and fields of flowers. These images likely represent scenes that are aesthetically pleasing or evoke positive emotions, hence being labeled as positive samples.</answer> | ./Chart/VisualWebInstruct/0f7da455-0cbb-407f-a2e6-025d173d6248.png | VisualWebInstruct(filtered) |
19,104 | What is the sum of the values of the bars in the group that contains the smallest valued individual bar in the whole chart? | image | numerical | [] | <answer>9</answer> | ./Chart/DVQA/images/bar_train_00076995.png | DVQA |
19,111 | As shown in the figure, if △ABC ∼ △DAC and AB = BC, then the number of angles equal to ∠C is ____. | image | numerical | [] | <answer>2</answer> | ./Math/Multimath-300k/ea14d5157642ecc56c0b8aa36caa1cbf.png | Multimath-300k |
19,112 | Please describe in depth what this image is about. | image | free-form | [] | <answer>The image depicts a young man feeding a light-colored goat through a chain-link fence. The man is positioned on the left side of the image and appears to be bending slightly forward, extending his left hand to offer the goat some green leaves. He is wearing a light blue polo shirt and has a backpack, suggesting he might be on a casual outing or perhaps a student. His hair is dark and styled relatively short.
The goat, positioned on the right side of the image, has its head lowered to eat the leaves offered by the man. Its horns are small and slightly curved, and its light coat contrasts with the greenery around it. The background showcases an open area with grass and sporadic patches of dry ground. There are trees visible beyond the fence, indicating an outdoor, possibly rural or semi-rural setting. The day appears clear and sunny, inferred from the shadows and the brightness of the image.
The chain-link fence, which runs across the middle of the image, serves as a barrier between the man and the goat, highlighting that the interaction is taking place at a boundary, possibly of a farm or a zoo. The fence appears sturdy and well-maintained, typical of enclosures designed to contain animals safely while allowing for human interaction.
Given this context, it's appropriate to surmise that the setting is likely an educational or recreational facility involving animals, such as a petting zoo, community farm, or a similar place where visitors can interact with animals in a controlled environment.
To break down the elements visible in the image:
1. **Man**: Dark hair; light blue polo shirt; backpack; extending hand with leaves.
2. **Goat**: Light-colored; small, curved horns; eating leaves.
3. **Fence**: Chain-link type; forms a barrier between man and goat.
4. **Background**: Grassy area with patches of dry ground; trees; clear and sunny day.
In answering any image-related questions:
- **What is the man doing?** He is feeding leaves to a goat through a chain-link fence.
- **What type of animal is present?** The animal is a goat.
- **What can be inferred about the setting?** It is likely an outdoor, probably rural or semi-rural setting, possibly a petting zoo or community farm where human-animal interactions are encouraged.
- **Does the fence appear to be well-maintained?** Yes, the fence appears to be sturdy and well-kept.
By closely examining and integrating the details present in the image, one can draw a comprehensive understanding of the scene and its context.</answer> | ./General/ShareGPT4o/sharegpt4o_53447.png | sharegpt4o |
19,113 | Please describe what is happening in the image. | image | free-form | [] | <answer>The image depicts a lineup of motorcycles parked on a grassy area, which appears to be part of a park or a green open space. There are several noticeable elements and distinct features in the image:
1. **Primary Motorbike in Focus**:
- **Model and Design**: The primary motorcycle in the foreground is a cruiser-style bike with a classic design. It has a distinctive orange color with chrome details, including the exhaust pipes, engine block, and other metallic parts. The side panel displays the brand name "Drag Star" in a stylized font.
- **Accessories**: The orange motorcycle is equipped with an orange rear-mounted storage box, which adds to its practicality for long-distance travel or touring. The storage box's color matches the bike's main body paint.
- **Suspension and Tires**: The bike features telescopic forks at the front, indicating a traditional suspension system. The tires appear to be suited for road use, with tread patterns designed for grip on paved surfaces.
2. **Other Motorcycles**:
- **Colors and Styles**: Behind the primary motorcycle, there are several other bikes. The most prominent one is a green motorcycle with a sporty design and decals, likely belonging to a different category such as a sport or street bike. This bike has a sharper, more aerodynamic design and a seating position that suggests a forward-leaning riding stance.
- **Arrangement**: The motorcycles are parked closely side by side, forming a neat row along the grass. The alignment suggests they might be part of a gathering or event, possibly a motorbike rally or show.
3. **Background Elements**:
- **Environment**: The setting appears to be an outdoor recreational area, characterized by lush green grass and surrounding trees, indicating a natural environment. The weather seems clear and pleasant, suitable for outdoor activities.
- **Structures and People**: In the background, there are several people and a few other elements such as tents or temporary structures. These suggest the event might be organized with certain facilities provided for the participants or attendees. The presence of people implies social interaction or spectatorship.
4. **Additional Details**:
- **Safety and Equipment**: Some bikes have helmets placed on or near them, indicating the riders' adherence to safety protocols.
- **Ground and Markings**: There are striped barriers in the background, possibly to designate specific areas for the event, manage traffic, or ensure safety.
### Detailed Analysis and Relevant Knowledge:
The image showcases a diverse collection of motorcycles, highlighting different styles and purposes – from cruisers designed for comfortable long-distance rides to sport bikes built for speed and agility. The orange cruiser motorcycle, with its ample chrome and storage box, suggests a rider who values aesthetics, comfort, and utility.
### Answer to Potential Questions:
1. **Describe the primary motorcycle**: The primary motorcycle is a cruiser-style bike with an orange and chrome finish, featuring a rear-mounted storage box, dual chrome exhausts, and a classic 'Drag Star' branding.
2. **Identify the event or setting**: The motorcycles are parked in an outdoor park-like setting, suggesting a motorbike rally or show.
3. **Explain the diversity of motorcycles present**: The image includes a mix of cruiser and sport bikes, indicating a gathering of enthusiasts with varied preferences in motorcycle design and functionality.
This description, integrating observations and knowledge about motorbikes and their events, provides a comprehensive view of the image content.</answer> | ./General/ShareGPT4o/sharegpt4o_17589.png | sharegpt4o |
19,116 | What is the main process shown in the video? | video | multiple choice | [
"A. Cooking pasta",
"B. Baking cookies",
"C. Making a cake",
"D. Preparing a salad"
] | <answer>B</answer> | ./LLaVA-Video-178K/liwei_youtube_videos/videos/youtube_video_2024/ytb_TJaD783Z9Oo.mp4 | LLaVA-Video-178K/30_60_s_youtube_v0_1 |
19,119 | What does the person do after setting up the rocket on a rocky terrain in the narrative progression? | video | multiple choice | [
"A. The person dismantles the rocket",
"B. The person runs away from the rocket",
"C. The person moves the rocket to a different location",
"D. The person ignites the rocket"
] | <answer>B</answer> | ./LLaVA-Video-178K/liwei_youtube_videos/videos/youtube_video_2024/ytb_wRohhTOE5PI.mp4 | LLaVA-Video-178K/30_60_s_youtube_v0_1 |
19,121 | The following image is a rectangular lawn. Find the area of the lawn. | image | numerical | [] | <answer>425</answer> | ./Math/Multimath-300k/0d0b0b88560edb214b5b19fc43729210.png | Multimath-300k |
19,122 | What did the girl do after she put her dress down?
Options: | video | multiple choice | [
"A. jump.",
"B. dance.",
"C. spin in circles.",
"D. stand up.",
"E. place baby a distance away."
] | <answer>C</answer> | ./NeXT-QA/NextQA/NExTVideo/1122/3745571038.mp4 | NeXT-QA/30_60_s_nextqa |
19,123 | How many containers are on the desk? | video | free-form | [] | <answer>There are three containers on the desk.</answer> | ./LLaVA-Video-178K/academic_source/ego4d/a6e23448-eb15-4639-956f-b357c5d822ab.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,124 | Is the sky overcast sunny day thinner than the image group tall palm tree garden? | image | free-form | [] | <answer>In fact, the sky overcast sunny day might be wider or the same width as the image group tall palm tree garden.</answer> | ./Spatial/OpenSpaces/image_5594.png | OpenSpaces |
19,126 | What indicates the start of the cooking process in the video? | video | multiple choice | [
"A. Adding oil to the pan",
"B. Covering the pan with a lid",
"C. Turning on the stove",
"D. Pouring water over the dumplings"
] | <answer>D</answer> | ./LLaVA-Video-178K/academic_source/youcook2/309/UfWND-lc4sc/split_7.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,128 | How does the speed of the video change when the person is adding ingredients to the mixture? | video | multiple choice | [
"A. The speed remains constant",
"B. The speed slows down",
"C. The speed speeds up",
"D. The speed varies"
] | <answer>A</answer> | ./LLaVA-Video-178K/academic_source/activitynet/v_j_q_MOjw80Q.mp4 | LLaVA-Video-178K/2_3_m_academic_v0_1 |
19,129 | Why are the hands shown folding the tortilla? | video | free-form | [] | <answer>To form a wrap or burrito with the filling inside.</answer> | ./LLaVA-Video-178K/academic_source/youcook2/127/0lkjIf5hZT4/split_9.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,132 | Please write out the expression of the formula in the image using LaTeX format. | image | OCR | [] | <answer>\frac { x ^ { 2 } } { 4 } + [ h ( x + \sqrt { 3 } ) ] ^ { 2 } = 1</answer> | ./OCR/HME100k/identity_15243.png | hme100k |
19,135 | Analyze the video and select the best option for the following multiple choice question.
Question: Which event will happen next?
Options: | video | multiple choice | [
"A. The green rubber cube collides with the green cylinder",
"B. The green rubber cube collides with the red object"
] | <answer>A</answer> | ./CLEVRER/train_videos/video_08616.mp4 | CLEVRER |
19,136 | What is located on another burner in the background? | video | free-form | [] | <answer>A white pot.</answer> | ./LLaVA-Video-178K/academic_source/youcook2/124/6jQF0_tuGdU/split_2.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,137 | Find x. | image | multiple choice | [
"A. 7",
"B. 9",
"C. 12",
"D. 15"
] | <answer>A</answer> | ./Math/Geometry3K/images/1217.png | Geometry3K |
19,138 | Can you confirm if the cloud sky dramatic contrast warm color sun is bigger than the buildings with the city? | image | multiple choice | [
"A. Correct",
"B. Incorrect"
] | <answer>A</answer> | ./Spatial/OpenSpaces/image_7449.png | OpenSpaces |
19,139 | (2014 Qujing Third Mock) As shown in the figure, island C is located 60° northeast from island A, and island C is located 50° northwest from island B. The angle ∠ACB when viewed from island C is ____ degrees. | image | numerical | [] | <answer>110</answer> | ./Math/Multimath-300k/e2fef672c6fcabed534494c73c4ab520.png | Multimath-300k |
19,140 | In the book “Shushu Jiuzhang,” the famous mathematician Qin Jiushao from the Southern Song Dynasty in China presented the well-known Qin Jiushao formula, also called the Three-Slope Area Formula. If the lengths of the three sides of a triangle are \(a\), \(b\), and \(c\) respectively, then the area of the triangle is given by \(S = \sqrt{\dfrac{1}{4} [a^2 b^2 - (\dfrac{a^2 + b^2 - c^2}{2})^2]}\). Now, given that the lengths of the three sides of \(\triangle ABC\) are \(1\), \(2\), and \(\sqrt{5}\) respectively, the area of \(\triangle ABC\) is ______. | image | numerical | [] | <answer>1</answer> | ./Math/Multimath-300k/6cd0547e423e7651b31b545c93925a2d.png | Multimath-300k |
19,141 | Here is a diagram figure extracted from some Grade 1 - 6 science books.
Please first describe the content of this figure in detail, including how the knowledge visually displayed in the diagram.
Then start with a section title "related knowledge:", briefly and concisely highlight the related domain knowledge and theories that underly this diagram. Note that you do not need to provide much detail. Simply cover the most important concepts. | image | free-form | [] | <answer>The diagram depicts the lifecycle of an insect, showing four stages: eggs, larva, pupa, and adult. The stages are represented by images and are connected in a circular sequence with arrows indicating the progression from one stage to the next. The image of the eggs shows a cluster of small, yellowish spheres on a leaf. The larva image depicts a green caterpillar with white and black markings. The pupa is shown as a dark, oval-shaped cocoon. The adult stage is represented by an image of a fully developed insect with wings, resembling a moth or butterfly.
Related Knowledge:
The diagram illustrates the concept of metamorphosis, which is a biological process that some insects undergo to transform from their immature form to their adult form. The related domain knowledge includes entomology (the study of insects), developmental biology, and ecology. Theories underlying this diagram include the evolutionary advantages of metamorphosis, such as allowing insects to occupy different ecological niches at different life stages, and the hormonal regulation of the metamorphic process.</answer> | ./Knowledge/AI2D-gpt4v/ai2d_azuregpt_2289.png | ai2d(gpt4v) |
19,143 | How many objects are stationary when the purple cube enters the scene? | video | numerical | [] | <answer>4</answer> | ./CLEVRER/train_videos/video_06428.mp4 | CLEVRER |
19,145 | Please provide the bounding box coordinate of the region this sentence describes: two ram on the road. | image | free-form | [] | <answer>[0.55, 0.77, 0.72, 0.97]</answer> | ./Spatial/Spacellava/image_9385.png | Spacellava |
19,146 | Provide an exhaustive description of the video content. | video | free-form | [] | <answer>The video begins with a serene backyard scene featuring a wooden fence. A child, dressed in a striped long-sleeve shirt and beige pants, is seen pushing a small toy lawnmower. An adult, wearing a dark shirt and blue jeans, is pushing a real lawnmower. The child closely follows the adult, mimicking their lawn mowing actions. The yard's grass is patchy, with a mix of green areas and dry, brown spots. As the video progresses, the child and the adult continue to move in unison across the yard, maintaining their synchronized lawn mowing activity. The background reveals a small play structure and scattered toys, enhancing the backyard's playful atmosphere. The video wraps up with the adult looking back at the child, ensuring they are following along, capturing a tender moment of guidance and imitation.</answer> | ./LLaVA-Video-178K/academic_source/activitynet/v_gN8F0o1baAo.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,148 | Which stop does the train arrive at 11.20 A.M. according to the provided schedule? Is it Oakdale, Silvergrove, Hampton, or Princeton? | image | multiple choice | [
"A. Oakdale",
"B. Silvergrove",
"C. Hampton",
"D. Princeton"
] | <answer>A</answer> | ./Chart/TabMWP/images/6175.png | TabMWP |
19,150 | Why is the car dealership festively decorated? | video | multiple choice | [
"A. It is a holiday season",
"B. It is a regular decoration",
"C. It is a grand opening",
"D. They are celebrating a special event"
] | <answer>D</answer> | ./LLaVA-Video-178K/liwei_youtube_videos/videos/youtube_video_2024/ytb_N90IIh0YYpw.mp4 | LLaVA-Video-178K/30_60_s_youtube_v0_1 |
19,152 | A school held a performance for the New Year's Day 2013. The scores (out of 100) given by nine judges for a class's program are shown in the stem-and-leaf plot on the right. After removing one highest and one lowest score, the median of the remaining data is _____. | image | numerical | [] | <answer>85</answer> | ./Math/Multimath-300k/3ae24940297321e482af849d458cd448.png | Multimath-300k |
19,153 | As shown in the figure, in △ABC, ∠C=90°, AD bisects ∠CAB and intersects CB at point D. From point D, DE is drawn perpendicular to AB and intersects it at point E.
(1) Prove that △ACD ≌ △AED;
(2) If ∠B=30° and CD=1, find the length of BD. | image | numerical | [] | <answer>2</answer> | ./Math/Multimath-300k/85505ef178f4d894f30ac8b7173b9182.png | Multimath-300k |
19,161 | As shown in the figure, in triangle △ABC, ∠ACB = 105°, the perpendicular bisector of side AC intersects side AB at point D and intersects side AC at point E, and CD is connected.
(1) If AB = 10 and BC = 6, find the perimeter of △BCD;
(2) If AD = BC, find the measure of ∠A. | image | numerical | [] | <answer>16</answer> | ./Math/Multimath-300k/50a9077e918b7d2475f7199925acedd5.png | Multimath-300k |
19,163 | Please write out the expression of the formula in the image using LaTeX format. | image | OCR | [] | <answer>1 4 1 \cdot 3 \times \frac { 5 } { 3 } = 2 1 3 5 \cdot 5 ( c m )</answer> | ./OCR/HME100k/identity_25093.png | hme100k |
19,164 | Given that M is the midpoint of side BC of triangle △ABC, AN is the external angle bisector of △ABC, BN is perpendicular to AN at point N, and AB = 4, MN = 2.8, what is the length of AC? | image | multiple choice | [
"A. 1.2",
"B. 1.4",
"C. 1.6",
"D. 1.8"
] | <answer>C</answer> | ./Math/UniGeo/images/1662.png | UniGeo |
19,165 | Xiaohong took 8 minutes to go from home to the youth center.
(1) She took 10 minutes to walk from the youth center to the school at the same speed. How many meters is it from the youth center to the school?
(2) How many minutes will it take her to walk from the school to home at the same speed? | image | numerical | [] | <answer>650</answer> | ./Math/Multimath-300k/5986fbd72969a4290dc46dd8fd1ffe53.png | Multimath-300k |
19,167 | As shown in the figure, given ∠1 = ∠2 and ∠3 = ∠4, how many of the following conclusions are correct? ______
① AD bisects ∠BAF;
② AF bisects ∠DAC;
③ AE bisects ∠DAF;
④ AE bisects ∠BAC. | image | numerical | [] | <answer>2</answer> | ./Math/Multimath-300k/09b606f88f35b49d147b16292cb2636f.png | Multimath-300k |
19,170 | Please describe the content of the picture. | image | free-form | [] | <answer>The image presents a whiteboard with various mathematical notations, text, and bullet points. The content on the whiteboard is organized into different sections with different colors of markers being used. Below is a detailed description and analysis of each part.
### Mathematical Notations:
1. **Top Center - Mathematical Sets and Notations:**
- The letters "NQRQ" are written in a bold and prominent style.
- Below "NQRQ", there are three sets defined using curly braces `{ }` and inequalities.
- The first set: `{x -- 0,1,2,3}`.
- The second set: `{x | -1.0,1.0}`.
- The third set: `{ 0,1,10,1.0,2.0}`.
- To the right of these sets, there is the expression "LQ θ".
2. **Center - Other Symbols and Terms:**
- Below the main sets, the notation "R (U { pixels/ages } R)" is written.
- Nearby, a mention of "w/ UFJ" is indicated, suggesting some notation pertains to a concept or object abbreviated as UFJ.
3. **Miscellaneous Annotations:**
- A large "LIES" is written in red with an arrow pointing towards the "NQRQ" notations.
- At the bottom left of the whiteboard in blue marker, "Cloud" is mentioned with an annotation clarifying "It means Internet."
### Bullet Points - Schedule and Miscellaneous Notes:
1. **Top Right - Schedule and Events:**
- A list titled "Best times" includes:
- "Mon 1-2 15?"
- "Margin K 15-4250."
- Below, another section mentions:
- "Karaoke Friday"
- "Not Optional."
### Whiteboard Accessories:
1. **Markers and Eraser:**
- There are several markers placed in a tray below the whiteboard: two red, one blue, and one black marker can be discerned.
- Additionally, a blue-whiteboard eraser is placed among the markers.
### Integrated Relevant Knowledge:
- **Mathematical Sets:**
- Sets and notation show a basic understanding of mathematical concepts, specifically involving the elements of a set and the idea of subsets, often used in set theory and logic.
- **Cloud Computing:**
- The term "Cloud" annotated means "Internet," highlighting a common metaphor in computing referring to cloud computing services accessible over the web.
- **Importance of Mathematical Accuracy:**
- The red "LIES" indicates a potential disagreement or error highlighting someone’s belief that the information about "NQRQ" might be incorrect or misleading.
### Analysis and Interpretation with Chain of Thought (CoT):
Based on the description, the image could be showcasing a brainstorming session involving mathematics and scheduling logistics.
1. **Mathematical Notations and Annotations:**
- The sets and logical notations imply some problem-solving or educational context involving specific values or elements of a set.
- The placement of "LIES" indicates a critical review, disagreement, or correction to the displayed mathematical notations.
2. **Schedule:**
- The events outlined, especially the time slots and the mandatory Karaoke Friday event, suggest planning or team activities, emphasizing the importance of participation.
3. **Cloud Annotation:**
- Highlighting that "Cloud" means "Internet," suggests that there may be a necessity to clarify technological terms for the audience, emphasizing the evolving IT vocabulary.
By understanding these insights, a text model can address the various aspects displayed on the whiteboard ranging from set theory, the importance of correcting misinformation regarding mathematical notation, and the planned events or schedules outlined for a group or team.
In summary, the image depicts a whiteboard used for an interactive session involving mathematical notation education, event planning, and clarifying technology terms. The notes and schedules emphasize mathematical understanding, corrections, and community-building activities such as karaoke, reinforcing engagement and clarity among participants.</answer> | ./General/ShareGPT4o/sharegpt4o_21871.png | sharegpt4o |
19,171 | As shown in the figure, a point starts from the origin on the number line, moves 3 units to the right, and then moves 5 units to the left. We can see that the number represented by the end point is (____). | image | numerical | [] | <answer>-2</answer> | ./Math/Multimath-300k/ea1037d3af7402c3caaa65e52ecdd37b.png | Multimath-300k |
19,172 | What does the person do after organizing the bag? | video | free-form | [] | <answer>After organizing the bag, the person moves a brown chair.</answer> | ./LLaVA-Video-178K/academic_source/Charades/7K163.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,173 | The provided figure contains both the question and its answer options. Please carefully examine the figure and choose the option that best answers the question. | image | multiple choice | [
"A. Please review the first option as illustrated in the figure and select it if it best corresponds to your answer.",
"B. Please review the second option as illustrated in the figure and select it if it best corresponds to your answer.",
"C. Please review the third option as illustrated in the figure and selec... | <answer>D</answer> | ./Knowledge/EXAMS-V/9480a75a-3269-4687-931d-affeb7cd21f0.png | EXAMS-V-train/Chemistry |
19,175 | Capture and list text from the image. | image | OCR | [] | <answer>I can help you with
some of the basics
sometime. That would
be great</answer> | ./OCR/Rendered_Text/cauldron/rendered_text/images/rendered_text_00003379.png | rendered_text(cauldron) |
19,178 | Which object did the person take after they opened the book? | video | multiple choice | [
"A. The phone/camera.",
"B. The laptop.",
"C. The shoe.",
"D. The cup/glass/bottle."
] | <answer>D</answer> | ./STAR/URG8B.mp4 | STAR |
19,181 | What is the person in the video wearing while cooking? | video | free-form | [] | <answer>The person is wearing a red apron over a dark shirt.</answer> | ./LLaVA-Video-178K/academic_source/youcook2/405/AWVaYpPFJqk/split_5.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,184 | Provide a one-sentence caption for the provided image. | image | OCR | [] | <answer>White sail which says F3 hanging in the air.</answer> | ./OCR/TextCaps/f112151aaaf21073.png | textcaps |
19,186 | What are the dimensions of the grey metal shelving unit in terms of width? Please measure it in feet. | image | regression | [] | <answer>16.91</answer> | ./Spatial/Spacellava/image_21932.png | Spacellava |
19,187 | How many types of ingredients are added to the pan? | video | multiple choice | [
"A. Three",
"B. Two",
"C. Five",
"D. Four"
] | <answer>D</answer> | ./LLaVA-Video-178K/academic_source/youcook2/107/8pYjtrt5Kbg/split_0.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,188 | How many red cylinders enter the scene? | video | numerical | [] | <answer>1</answer> | ./CLEVRER/train_videos/video_05321.mp4 | CLEVRER |
19,190 | How many rubber objects are moving when the video ends? | video | numerical | [] | <answer>2</answer> | ./CLEVRER/train_videos/video_04724.mp4 | CLEVRER |
19,191 | This diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.
Q: The topological order of the directed graph is: | image | multiple choice | [
"9,21,29,8,19,3,26,23,18,10,7,25,24,14,17,22,28,20,1,11,0,31,6,27,4,5,30,2,16,15,12,13.",
"9,29,10,3,15,18,14,8,16,1,12,5,23,17,25,2,28,7,0,19,30,26,22,27,21,31,20,24,11,6,4,13.",
"9,1,6,10,24,11,22,17,20,29,16,12,15,19,3,21,23,4,8,30,5,7,26,31,18,28,2,14,27,25,0,13.",
"9,5,7,21,28,26,30,16,27,8,0,2,6,23,12,1... | <answer>I</answer> | ./Knowledge/GVLQA/data/topology/graph_visual/layout/sfdp/hard/graph770.png | |
19,192 | As shown in the figure, there are two containers, A and B, with cylindrical interiors on a horizontal table. The bottom areas of the interiors are 60 cm² and 80 cm², respectively. Container A is filled with water, and container B is empty. If all the water in container A is poured into container B, the water level in container B will be 8 cm lower than the original water level in container A. Find the volume of container A in cm³. | image | numerical | [] | <answer>1920</answer> | ./Math/Multimath-300k/e0dc75a6cf5bcaf965d005f33bfe7dc0.png | Multimath-300k |
19,194 | Which object was taken by the person? | video | multiple choice | [
"A. The sandwich.",
"B. The phone/camera.",
"C. The food.",
"D. The clothes."
] | <answer>D</answer> | ./STAR/6KGZA.mp4 | STAR |
19,195 | As shown in the figure, yachts A and B are moving in straight lines on a lake. It is known that the speed of yacht B is 1.5 times that of yacht A. At the starting point, the position of yacht A is (50, 20). When B catches up with A, their position is (110, 20). Find the starting position of yacht B. (The size of the yachts is negligible) | image | numerical | [] | <answer>20</answer> | ./Math/Multimath-300k/e5553dea0ea91f980dcb7b7d065c4d91.png | Multimath-300k |
19,196 | Describe this image in detail. | image | OCR | [] | <answer>Two men in suits stand at podiums outfitted with microphones, against a backdrop of flags and a banner proclaiming "ON-SITE INSPECTION - IFE14 - JORDAN الأردن - INTEGRATED FIELD EXERCISE 2014 - CTBTO.ORG." Each podium features a crest with illegible text below it, suggesting a formal or official context for the event.</answer> | ./OCR/TextOCR/966ea3fdc59439e5.png | textocr(gpt4v) |
19,198 | Why are fresh green herbs added to the noodle soup? | video | free-form | [] | <answer>Fresh green herbs are added to the noodle soup to add a final touch of color and freshness.</answer> | ./LLaVA-Video-178K/academic_source/youcook2/314/davq4bio878/split_10.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,200 | Is there a cycle in this undirected graph? | image | multiple choice | [
"No",
"Yes"
] | <answer>A</answer> | ./Knowledge/GVLQA/data/cycle/graph_visual/layout/neato/hard/graph592.png | |
19,202 | After the program shown in the image starts running, when the input value of x is 2010, the output result is ___. | image | numerical | [] | <answer>1</answer> | ./Math/Multimath-300k/68fd24ae66223ab6b925bf15bfdeeb25.png | Multimath-300k |
19,203 | Illustrate the video's narrative journey, scene by scene, with attention to detail. | video | free-form | [] | <answer>The video begins with a person wearing a dark hoodie and dark pants standing in a hallway near a door, interacting with it. The background reveals a kitchen area with a refrigerator, a table with a red container, and some items on top of the fridge. On the table in the foreground, there is a blue computer mouse, a remote control, and a laptop with the Acer logo visible. The person in the dark hoodie moves slightly as another person wearing a light-colored shirt and dark pants enters from the left side, interacting with the first person or the door. The scene transitions to the second person standing near the door, looking towards the hallway, while the first person is no longer visible.
The focus shifts to a view of the table in the foreground, featuring the blue computer mouse, remote control, and Acer laptop. In the background, the person in the light-colored shirt and dark pants is seen near the door in the hallway, interacting with it. They bend down to pick up an item from the floor, then stand up and start putting on a dark-colored jacket. The kitchen area remains visible in the background. The person continues to put on the jacket, standing near the door in the hallway.
The final scene shows a person wearing a white shirt and dark pants standing near the table in the foreground, handling a red container. The kitchen area with the refrigerator and table is still visible in the background. The person continues to interact with the red container, possibly adjusting or moving it, then turns towards the refrigerator and opens the door, looking inside. The video concludes with the person standing near the open refrigerator door, appearing to search for something inside.</answer> | ./LLaVA-Video-178K/academic_source/Charades/JG7UX.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,205 | What relationship is depicted between the cloud width and the number of atoms in the plot labeled (a)? | image | free-form | [] | <answer>In plot (a), as the red-detuning from the 2P3/2, F = 9/2 level increases, both the cloud width (red dots) and the number of atoms (black squares) initially decrease, reach a minimum, and then the number of atoms increases sharply while the cloud width increases more gradually. This suggests that the cloud size and atom number are both sensitive to the detuning parameter, but they may respond differently beyond certain detuning values.</answer> | ./Chart/VisualWebInstruct/f08e45b3-7251-411d-a5b0-d5a444167f3f.png | VisualWebInstruct(filtered) |
19,206 | Share a detailed breakdown of the video's storyline and visuals. | video | free-form | [] | <answer>The video takes place in a large indoor gymnasium, likely during a gymnastics competition or practice session. The gymnasium is equipped with various gymnastics apparatuses, including uneven bars, balance beams, and floor mats. The American flag is prominently displayed hanging from the ceiling, symbolizing national pride and the competitive spirit of the event. The scene is bustling with activity; several gymnasts, coaches, and spectators are present, creating a lively and energetic atmosphere typical of a gymnastics event. In the foreground, a group of young gymnasts, dressed in blue and black leotards, are seated on chairs, possibly waiting for their turn or watching their peers. A few gymnasts are seen walking around or preparing for their routines. The background shows more people, including spectators and other gymnasts, some of whom are engaged in conversations or watching the ongoing activities.
The video continues to capture the vibrant atmosphere of the gymnastics event. The American flag remains prominently displayed, and the scene is still bustling with activity. The group of young gymnasts in blue and black leotards are seated on chairs, attentively watching the ongoing activities. A gymnast in a black leotard is performing on the uneven bars, executing various flips and maneuvers with precision and skill. Other gymnasts and coaches are seen walking around or preparing for their routines, contributing to the dynamic environment. The background continues to show more people, including spectators and other gymnasts, some of whom are engaged in conversations or watching the performances.
The video maintains the lively and energetic atmosphere of the gymnastics event in the large indoor gymnasium. The American flag is still prominently displayed, and the scene remains bustling with activity. The group of young gymnasts in blue and black leotards are seated on chairs, watching the ongoing activities with keen interest. The gymnast in a black leotard continues to perform on the uneven bars, showcasing her talent through various flips and maneuvers. Another gymnast, dressed in a bright pink leotard, stands nearby, possibly waiting for her turn, adding a splash of color to the scene. The background shows more people, including spectators and other gymnasts, some of whom are engaged in conversations or watching the performances. The overall atmosphere remains lively and energetic, capturing the essence of a gymnastics event.</answer> | ./LLaVA-Video-178K/academic_source/activitynet/v_EVQlh2Et5tc.mp4 | LLaVA-Video-178K/0_30_s_academic_v0_1 |
19,207 | Describe this image in detail. | image | OCR | [] | <answer>The image shows an open book with old German text, presenting a woodcut diagram illustrating the principle of "Suum cuique" across two pages. The left page's prominent header is "Der Erſt Tafel," while the right page shows a top heading of "foliſ", followed by the number "XXXII," and includes a diagram captioned with "Gemein, Son, Mond, Enckel." Additionally, within the blurred text on the right page, the name "Aristotele" emerges midway down, tying the historical context to the philosopher. The intricacies of the text are indecipherable due to size and blur.</answer> | ./OCR/TextOCR/461a3e94c743e85e.png | textocr(gpt4v) |
19,209 | Please clarify the meaning conveyed by this graph. | image | free-form | [] | <answer>About two-thirds (65%) of people who are high in religious commitment (regardless of their particular religious affiliation) say an implanted device for healthy people would be meddling with nature and crossing a line we should not cross. By contrast, people who are low in religious commitment (who seldom pray or attend religious services and say religion is not important in their lives) are much more inclined to consider brain chip implants to be in keeping with other ways that humans have tried to better themselves over time.</answer> | ./Chart/Chart2Text/cauldron/chart2text/images/chart2text_00026096.png | chart2text(cauldron) |
19,210 | Does the a table with the patio have a larger size compared to the the sky with trees? | image | free-form | [] | <answer>Actually, the a table with the patio might be smaller or the same size as the the sky with trees.</answer> | ./Spatial/OpenSpaces/image_6601.png | OpenSpaces |
19,211 | If, then a = (___), b = (___). | image | numerical | [] | <answer>0</answer> | ./Math/Multimath-300k/1ee94e1e7c7c3e70549af07c8531aa88.png | Multimath-300k |
19,213 | Based on the figure, what is the approximate value of the logarithm of the number density of galaxies (log φ) for a galaxy mass of 10^9 M☉? | image | multiple choice | [
"A) -2.5 [Mpc^-3]",
"B) -3.0 [Mpc^-3]",
"C) -3.5 [Mpc^-3]",
"D) -4.0 [Mpc^-3]"
] | <answer>B</answer> | ./Knowledge/ArxivQA/images/astro-ph9701175_0.jpg | |
19,214 | What is the size of the bed in the image? | image | free-form | [] | <answer>The bed in the image is described as small or very small.</answer> | ./Spatial/Spacellava/image_19700.png | Spacellava |
19,215 | Is Sky Blue the maximum? | image | multiple choice | [
"A. no",
"B. yes"
] | <answer>B</answer> | ./Chart/FigureQA/images/26362.png | FigureQA |
19,216 | Please describe specifically what this image is about. | image | free-form | [] | <answer>The image depicts three individuals lying on a white background, positioned close to each other. They appear to be a family, consisting of an adult male and female, and a baby lying between them.
Starting with the baby, who is in the center, the infant is unclothed, and lying on their back with eyes closed, suggesting they are asleep. The baby’s arms are slightly raised with hands relaxed, which adds to the peaceful and serene impression of slumber. The baby's skin tone is light, and the infant does not have any visible hair.
To the left of the baby lies an adult male. The male has a dark, full beard and mustache. He has short hair that appears well-groomed. The man's eyes are closed, possibly indicating that he is also sleeping or simply resting beside the baby. He is wearing a white shirt. His head is turned slightly towards the baby, suggesting closeness and affection.
To the right of the baby lies an adult female. She has light-colored hair that is styled and seems slightly wavy. Her eyes are open, and she is smiling gently, showing an affectionate, loving expression as she looks towards the baby. She is also wearing a light-colored top, possibly white, although it is slightly obscured by her hair and the angle of the photograph. Her face is positioned close to the baby, reinforcing the intimate and loving atmosphere present in the photograph.
The background is simple and uncluttered, consisting solely of a white or light-colored blanket or sheet, which helps to keep the focus on the subjects. The lighting is soft and evenly distributed, creating a tender and calming ambiance.
Overall, the imagery and positioning of the subjects in the image convey a strong sense of family, love, and tranquility. The photograph focuses on the bond between the family members, with particular emphasis on the baby, who is the central figure and clearly the focal point of affection.</answer> | ./General/ShareGPT4o/sharegpt4o_56894.png | sharegpt4o |
19,217 | The first image is a bucket. What is the third image? | image | multiple choice | [
"A. bucket",
"B. boat",
"C. crab"
] | <answer>B</answer> | ./General/IconQA/images/78372.png | IconQA |
19,218 | Which parts of the brain showed abnormal signals? | image | multiple choice | [
"A. Occipital and Parietal parts",
"B. Frontal and Parietal parts",
"C. Temporal and Insula parts",
"D. Cingulate and Temporal parts"
] | <answer>C</answer> | ./Knowledge/PMC-VQA/images/PMC9304965_F3_347375.jpg | PMC-VQA |
19,220 | If you pick a marble without looking, how likely is it that you will get a black one? | image | multiple choice | [
"A. certain",
"B. unlikely",
"C. probable",
"D. impossible"
] | <answer>B</answer> | ./General/IconQA/images/7167.png | IconQA |
19,221 | how many cyan objects are there in total, and how many of them are large choppers or small tandem bikes? | image | numerical | [] | <answer>1</answer> | ./Math/Super-CLEVR/images/superCLEVR_new_001327.png | Super-CLEVR |
19,222 | How many geometric shapes did the person draw on the paper? | video | multiple choice | [
"A. 3",
"B. 2",
"C. 4"
] | <answer>C</answer> | ./PerceptionTest/video_7263.mp4 | PerceptionTest/train |
19,223 | Bees are considered the most outstanding architects in nature. An individual honeycomb can be approximately regarded as a regular hexagon. The figure shows a cross-sectional view of a group of honeycombs. The first figure has 1 honeycomb, the second figure has 7 honeycombs, the third figure has 19 honeycombs. According to this pattern, let \( f(n) \) represent the total number of honeycombs in the \( n \)-th figure.
(1) Find the values of \( f(4) \) and \( f(5) \);
(2) Using the thought process of inductive reasoning, determine the relationship between \( f(n+1) \) and \( f(n) \), and based on the relationship you obtain, derive an expression for \( f(n) \);
(3) Prove that: \( \dfrac{1}{f(1)} + \dfrac{1}{f(2)} + \dfrac{1}{f(3)} + \cdots + \dfrac{1}{f(n)} < \dfrac{4}{3} \). | image | numerical | [] | <answer>37</answer> | ./Math/Multimath-300k/174037912f56df3a7ec7203b1f3fdbf7.png | Multimath-300k |
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