Datasets:
Tasks:
Visual Question Answering
Modalities:
Image
Formats:
imagefolder
Languages:
English
Size:
1K - 10K
License:
| {"qid": 6000, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -4], [-3, 8], [-1, 8]], "answer": {"point": [-1.3249683016680842, 7.306179153146083]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -4), B=(-3, 8), C=(-1, 8). Find the incircle's center.", "im_path": "/images_full/task_06000_incircle.png", "im_dots_path": "/images/task_06000_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.3249683016680842, 7.306179153146083]}, "choices": null, "image_choices": null} | |
| {"qid": 6001, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -2], [-3, -8], [6, 6]], "answer": {"point": [-3.766314099606134, -2.767401802671977]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -2), B=(-3, -8), C=(6, 6). Find the incircle's center.", "im_path": "/images_full/task_06001_incircle.png", "im_dots_path": "/images/task_06001_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.766314099606134, -2.767401802671977]}, "choices": null, "image_choices": null} | |
| {"qid": 6002, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -7], [9, 0], [9, 10]], "answer": {"point": [7.17157287525381, 0.7573593128807149]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -7), B=(9, 0), C=(9, 10). Find the incircle's center.", "im_path": "/images_full/task_06002_incircle.png", "im_dots_path": "/images/task_06002_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.17157287525381, 0.7573593128807149]}, "choices": null, "image_choices": null} | |
| {"qid": 6003, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -1], [-3, -9], [-4, -10]], "answer": {"point": [-3.4331442241773704, -8.82058578788216]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -1), B=(-3, -9), C=(-4, -10). Find the incircle's center.", "im_path": "/images_full/task_06003_incircle.png", "im_dots_path": "/images/task_06003_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.4331442241773704, -8.82058578788216]}, "choices": null, "image_choices": null} | |
| {"qid": 6004, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 9], [9, 2], [4, 2]], "answer": {"point": [4.326805129243427, 3.0367451825787444]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 9), B=(9, 2), C=(4, 2). Find the incircle's center.", "im_path": "/images_full/task_06004_incircle.png", "im_dots_path": "/images/task_06004_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.326805129243427, 3.0367451825787444]}, "choices": null, "image_choices": null} | |
| {"qid": 6005, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 4], [2, -2], [4, -8]], "answer": {"point": [3.5454707469500355, -2.20696648079]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 4), B=(2, -2), C=(4, -8). Find the incircle's center.", "im_path": "/images_full/task_06005_incircle.png", "im_dots_path": "/images/task_06005_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.5454707469500355, -2.20696648079]}, "choices": null, "image_choices": null} | |
| {"qid": 6006, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -5], [-5, -2], [-9, 5]], "answer": {"point": [-3.706106781963858, -0.23049558608114068]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -5), B=(-5, -2), C=(-9, 5). Find the incircle's center.", "im_path": "/images_full/task_06006_incircle.png", "im_dots_path": "/images/task_06006_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.706106781963858, -0.23049558608114068]}, "choices": null, "image_choices": null} | |
| {"qid": 6007, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -10], [-9, 4], [-8, -1]], "answer": {"point": [-8.139817998456001, -1.0217075983731005]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -10), B=(-9, 4), C=(-8, -1). Find the incircle's center.", "im_path": "/images_full/task_06007_incircle.png", "im_dots_path": "/images/task_06007_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-8.139817998456001, -1.0217075983731005]}, "choices": null, "image_choices": null} | |
| {"qid": 6008, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 0], [0, -9], [-10, -5]], "answer": {"point": [-1.5614163613692162, -5.158167856872356]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 0), B=(0, -9), C=(-10, -5). Find the incircle's center.", "im_path": "/images_full/task_06008_incircle.png", "im_dots_path": "/images/task_06008_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.5614163613692162, -5.158167856872356]}, "choices": null, "image_choices": null} | |
| {"qid": 6009, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -5], [-6, -10], [2, -3]], "answer": {"point": [-5.701891443961832, -6.644635562732988]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -5), B=(-6, -10), C=(2, -3). Find the incircle's center.", "im_path": "/images_full/task_06009_incircle.png", "im_dots_path": "/images/task_06009_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.701891443961832, -6.644635562732988]}, "choices": null, "image_choices": null} | |
| {"qid": 6010, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, -4], [4, 2], [-3, -10]], "answer": {"point": [-2.4687380441125892, -4.868495594703622]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -4), B=(4, 2), C=(-3, -10). Find the incircle's center.", "im_path": "/images_full/task_06010_incircle.png", "im_dots_path": "/images/task_06010_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.4687380441125892, -4.868495594703622]}, "choices": null, "image_choices": null} | |
| {"qid": 6011, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -5], [-10, 10], [-8, -1]], "answer": {"point": [-5.064686227583114, 1.788642042402124]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -5), B=(-10, 10), C=(-8, -1). Find the incircle's center.", "im_path": "/images_full/task_06011_incircle.png", "im_dots_path": "/images/task_06011_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.064686227583114, 1.788642042402124]}, "choices": null, "image_choices": null} | |
| {"qid": 6012, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -5], [6, -5], [8, -4]], "answer": {"point": [5.909658580318814, -4.617307605046657]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -5), B=(6, -5), C=(8, -4). Find the incircle's center.", "im_path": "/images_full/task_06012_incircle.png", "im_dots_path": "/images/task_06012_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.909658580318814, -4.617307605046657]}, "choices": null, "image_choices": null} | |
| {"qid": 6013, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, 10], [-6, 10], [10, -5]], "answer": {"point": [-1.834681519138483, 8.352835303495473]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 10), B=(-6, 10), C=(10, -5). Find the incircle's center.", "im_path": "/images_full/task_06013_incircle.png", "im_dots_path": "/images/task_06013_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.834681519138483, 8.352835303495473]}, "choices": null, "image_choices": null} | |
| {"qid": 6014, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -7], [9, -2], [-7, 5]], "answer": {"point": [-0.05898894861048046, -2.064397141034338]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -7), B=(9, -2), C=(-7, 5). Find the incircle's center.", "im_path": "/images_full/task_06014_incircle.png", "im_dots_path": "/images/task_06014_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.05898894861048046, -2.064397141034338]}, "choices": null, "image_choices": null} | |
| {"qid": 6015, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 0], [5, -9], [4, -8]], "answer": {"point": [4.1591652589753325, -7.885280172080908]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 0), B=(5, -9), C=(4, -8). Find the incircle's center.", "im_path": "/images_full/task_06015_incircle.png", "im_dots_path": "/images/task_06015_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.1591652589753325, -7.885280172080908]}, "choices": null, "image_choices": null} | |
| {"qid": 6016, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -3], [9, -9], [7, -6]], "answer": {"point": [6.5955006987302855, -6.458209615889102]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -3), B=(9, -9), C=(7, -6). Find the incircle's center.", "im_path": "/images_full/task_06016_incircle.png", "im_dots_path": "/images/task_06016_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.5955006987302855, -6.458209615889102]}, "choices": null, "image_choices": null} | |
| {"qid": 6017, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -9], [-5, 2], [-2, -1]], "answer": {"point": [-3.2105226926427934, -1.415339717568051]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -9), B=(-5, 2), C=(-2, -1). Find the incircle's center.", "im_path": "/images_full/task_06017_incircle.png", "im_dots_path": "/images/task_06017_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.2105226926427934, -1.415339717568051]}, "choices": null, "image_choices": null} | |
| {"qid": 6018, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 0], [-3, -8], [-9, 6]], "answer": {"point": [-1.5071060115885047, -1.312368846507664]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 0), B=(-3, -8), C=(-9, 6). Find the incircle's center.", "im_path": "/images_full/task_06018_incircle.png", "im_dots_path": "/images/task_06018_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.5071060115885047, -1.312368846507664]}, "choices": null, "image_choices": null} | |
| {"qid": 6019, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 8], [7, 7], [-6, -7]], "answer": {"point": [-3.1933825803809266, 2.9286364592155345]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(7, 7), C=(-6, -7). Find the incircle's center.", "im_path": "/images_full/task_06019_incircle.png", "im_dots_path": "/images/task_06019_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.1933825803809266, 2.9286364592155345]}, "choices": null, "image_choices": null} | |
| {"qid": 6020, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 10], [-3, -5], [-1, 0]], "answer": {"point": [-1.309436181857611, 0.09198630905539791]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 10), B=(-3, -5), C=(-1, 0). Find the incircle's center.", "im_path": "/images_full/task_06020_incircle.png", "im_dots_path": "/images/task_06020_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.309436181857611, 0.09198630905539791]}, "choices": null, "image_choices": null} | |
| {"qid": 6021, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -10], [3, -8], [-1, -5]], "answer": {"point": [-1.0238351657558205, -7.050101370627492]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -10), B=(3, -8), C=(-1, -5). Find the incircle's center.", "im_path": "/images_full/task_06021_incircle.png", "im_dots_path": "/images/task_06021_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.0238351657558205, -7.050101370627492]}, "choices": null, "image_choices": null} | |
| {"qid": 6022, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -9], [1, 2], [9, 9]], "answer": {"point": [4.023681274207349, 1.08827840187018]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -9), B=(1, 2), C=(9, 9). Find the incircle's center.", "im_path": "/images_full/task_06022_incircle.png", "im_dots_path": "/images/task_06022_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.023681274207349, 1.08827840187018]}, "choices": null, "image_choices": null} | |
| {"qid": 6023, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -10], [10, -10], [5, 6]], "answer": {"point": [4.350597291166385, -5.846610462384601]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -10), B=(10, -10), C=(5, 6). Find the incircle's center.", "im_path": "/images_full/task_06023_incircle.png", "im_dots_path": "/images/task_06023_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.350597291166385, -5.846610462384601]}, "choices": null, "image_choices": null} | |
| {"qid": 6024, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -5], [5, -8], [10, 4]], "answer": {"point": [5.570436985901299, -5.1478150704935]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -5), B=(5, -8), C=(10, 4). Find the incircle's center.", "im_path": "/images_full/task_06024_incircle.png", "im_dots_path": "/images/task_06024_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.570436985901299, -5.1478150704935]}, "choices": null, "image_choices": null} | |
| {"qid": 6025, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 10], [-2, 8], [3, 7]], "answer": {"point": [-1.9549334199607817, 8.169701111096257]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 10), B=(-2, 8), C=(3, 7). Find the incircle's center.", "im_path": "/images_full/task_06025_incircle.png", "im_dots_path": "/images/task_06025_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.9549334199607817, 8.169701111096257]}, "choices": null, "image_choices": null} | |
| {"qid": 6026, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 9], [-4, -3], [-7, 4]], "answer": {"point": [-5.414720361814601, 3.892410605509304]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 9), B=(-4, -3), C=(-7, 4). Find the incircle's center.", "im_path": "/images_full/task_06026_incircle.png", "im_dots_path": "/images/task_06026_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.414720361814601, 3.892410605509304]}, "choices": null, "image_choices": null} | |
| {"qid": 6027, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -1], [-10, 0], [2, 5]], "answer": {"point": [-8.035806707387437, -0.06765045811820786]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -1), B=(-10, 0), C=(2, 5). Find the incircle's center.", "im_path": "/images_full/task_06027_incircle.png", "im_dots_path": "/images/task_06027_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-8.035806707387437, -0.06765045811820786]}, "choices": null, "image_choices": null} | |
| {"qid": 6028, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 4], [-2, 0], [2, -9]], "answer": {"point": [-1.4171290113910417, 0.12369364653033058]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 4), B=(-2, 0), C=(2, -9). Find the incircle's center.", "im_path": "/images_full/task_06028_incircle.png", "im_dots_path": "/images/task_06028_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.4171290113910417, 0.12369364653033058]}, "choices": null, "image_choices": null} | |
| {"qid": 6029, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -6], [-4, 10], [7, 10]], "answer": {"point": [1.3375235618025743, 6.07590117735765]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -6), B=(-4, 10), C=(7, 10). Find the incircle's center.", "im_path": "/images_full/task_06029_incircle.png", "im_dots_path": "/images/task_06029_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.3375235618025743, 6.07590117735765]}, "choices": null, "image_choices": null} | |
| {"qid": 6030, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 5], [9, -2], [9, -9]], "answer": {"point": [7.494714795226927, -2.6235095470565684]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(9, -2), C=(9, -9). Find the incircle's center.", "im_path": "/images_full/task_06030_incircle.png", "im_dots_path": "/images/task_06030_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.494714795226927, -2.6235095470565684]}, "choices": null, "image_choices": null} | |
| {"qid": 6031, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -1], [-2, -4], [-9, 10]], "answer": {"point": [-6.2169703215905106, 0.21697032159051044]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -1), B=(-2, -4), C=(-9, 10). Find the incircle's center.", "im_path": "/images_full/task_06031_incircle.png", "im_dots_path": "/images/task_06031_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.2169703215905106, 0.21697032159051044]}, "choices": null, "image_choices": null} | |
| {"qid": 6032, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, -4], [9, 2], [-6, -9]], "answer": {"point": [-4.113519334212623, -5.2772095918326185]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -4), B=(9, 2), C=(-6, -9). Find the incircle's center.", "im_path": "/images_full/task_06032_incircle.png", "im_dots_path": "/images/task_06032_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-4.113519334212623, -5.2772095918326185]}, "choices": null, "image_choices": null} | |
| {"qid": 6033, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, -7], [8, -2], [-10, 7]], "answer": {"point": [-3.0862527024062176, -1.3305558623174805]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -7), B=(8, -2), C=(-10, 7). Find the incircle's center.", "im_path": "/images_full/task_06033_incircle.png", "im_dots_path": "/images/task_06033_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.0862527024062176, -1.3305558623174805]}, "choices": null, "image_choices": null} | |
| {"qid": 6034, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -3], [2, -4], [-5, -7]], "answer": {"point": [-1.544134153454637, -4.283982209755117]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -3), B=(2, -4), C=(-5, -7). Find the incircle's center.", "im_path": "/images_full/task_06034_incircle.png", "im_dots_path": "/images/task_06034_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.544134153454637, -4.283982209755117]}, "choices": null, "image_choices": null} | |
| {"qid": 6035, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -1], [2, -7], [7, -2]], "answer": {"point": [7.159866511258337, -2.221802936139879]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -1), B=(2, -7), C=(7, -2). Find the incircle's center.", "im_path": "/images_full/task_06035_incircle.png", "im_dots_path": "/images/task_06035_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.159866511258337, -2.221802936139879]}, "choices": null, "image_choices": null} | |
| {"qid": 6036, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 1], [-10, -5], [9, -6]], "answer": {"point": [6.105622353893009, -2.949280627365414]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 1), B=(-10, -5), C=(9, -6). Find the incircle's center.", "im_path": "/images_full/task_06036_incircle.png", "im_dots_path": "/images/task_06036_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.105622353893009, -2.949280627365414]}, "choices": null, "image_choices": null} | |
| {"qid": 6037, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -2], [10, 8], [8, 10]], "answer": {"point": [8.958984774530283, 7.684805951219691]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -2), B=(10, 8), C=(8, 10). Find the incircle's center.", "im_path": "/images_full/task_06037_incircle.png", "im_dots_path": "/images/task_06037_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [8.958984774530283, 7.684805951219691]}, "choices": null, "image_choices": null} | |
| {"qid": 6038, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 7], [-5, -3], [-2, 8]], "answer": {"point": [-5.454671517897938, 4.950277413112369]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 7), B=(-5, -3), C=(-2, 8). Find the incircle's center.", "im_path": "/images_full/task_06038_incircle.png", "im_dots_path": "/images/task_06038_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.454671517897938, 4.950277413112369]}, "choices": null, "image_choices": null} | |
| {"qid": 6039, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 10], [-8, 10], [5, -8]], "answer": {"point": [1.5464165174498423, 5.118809407230418]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 10), B=(-8, 10), C=(5, -8). Find the incircle's center.", "im_path": "/images_full/task_06039_incircle.png", "im_dots_path": "/images/task_06039_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.5464165174498423, 5.118809407230418]}, "choices": null, "image_choices": null} | |
| {"qid": 6040, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 4], [6, 6], [9, -10]], "answer": {"point": [3.0998513933002876, 1.706046606434512]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 4), B=(6, 6), C=(9, -10). Find the incircle's center.", "im_path": "/images_full/task_06040_incircle.png", "im_dots_path": "/images/task_06040_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.0998513933002876, 1.706046606434512]}, "choices": null, "image_choices": null} | |
| {"qid": 6041, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 2], [0, -5], [-9, 1]], "answer": {"point": [-3.4629243509098795, -0.2559585441524569]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 2), B=(0, -5), C=(-9, 1). Find the incircle's center.", "im_path": "/images_full/task_06041_incircle.png", "im_dots_path": "/images/task_06041_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.4629243509098795, -0.2559585441524569]}, "choices": null, "image_choices": null} | |
| {"qid": 6042, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -7], [-7, -4], [-5, 8]], "answer": {"point": [-6.801968897901201, -4.016389555087442]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -7), B=(-7, -4), C=(-5, 8). Find the incircle's center.", "im_path": "/images_full/task_06042_incircle.png", "im_dots_path": "/images/task_06042_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.801968897901201, -4.016389555087442]}, "choices": null, "image_choices": null} | |
| {"qid": 6043, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 1], [9, -1], [-1, -9]], "answer": {"point": [6.3976751205084605, -1.1129314809548083]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 1), B=(9, -1), C=(-1, -9). Find the incircle's center.", "im_path": "/images_full/task_06043_incircle.png", "im_dots_path": "/images/task_06043_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.3976751205084605, -1.1129314809548083]}, "choices": null, "image_choices": null} | |
| {"qid": 6044, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 4], [-2, -10], [-6, -1]], "answer": {"point": [-1.1459868244642268, -3.14100454472838]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 4), B=(-2, -10), C=(-6, -1). Find the incircle's center.", "im_path": "/images_full/task_06044_incircle.png", "im_dots_path": "/images/task_06044_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.1459868244642268, -3.14100454472838]}, "choices": null, "image_choices": null} | |
| {"qid": 6045, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 0], [5, 2], [-7, 7]], "answer": {"point": [-1.9247743721465522, 2.519681060666077]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 0), B=(5, 2), C=(-7, 7). Find the incircle's center.", "im_path": "/images_full/task_06045_incircle.png", "im_dots_path": "/images/task_06045_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.9247743721465522, 2.519681060666077]}, "choices": null, "image_choices": null} | |
| {"qid": 6046, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -2], [5, -10], [-9, 3]], "answer": {"point": [-2.370257957877425, -2.4086832958590407]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -2), B=(5, -10), C=(-9, 3). Find the incircle's center.", "im_path": "/images_full/task_06046_incircle.png", "im_dots_path": "/images/task_06046_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.370257957877425, -2.4086832958590407]}, "choices": null, "image_choices": null} | |
| {"qid": 6047, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -7], [-1, 9], [3, 6]], "answer": {"point": [-0.003564555741872254, 5.5895905725288895]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -7), B=(-1, 9), C=(3, 6). Find the incircle's center.", "im_path": "/images_full/task_06047_incircle.png", "im_dots_path": "/images/task_06047_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.003564555741872254, 5.5895905725288895]}, "choices": null, "image_choices": null} | |
| {"qid": 6048, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 7], [-8, 7], [9, 9]], "answer": {"point": [8.058621384311845, 7.941378615688154]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 7), B=(-8, 7), C=(9, 9). Find the incircle's center.", "im_path": "/images_full/task_06048_incircle.png", "im_dots_path": "/images/task_06048_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [8.058621384311845, 7.941378615688154]}, "choices": null, "image_choices": null} | |
| {"qid": 6049, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 0], [-5, -9], [8, -2]], "answer": {"point": [7.574843294246655, -1.5875316704779365]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 0), B=(-5, -9), C=(8, -2). Find the incircle's center.", "im_path": "/images_full/task_06049_incircle.png", "im_dots_path": "/images/task_06049_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.574843294246655, -1.5875316704779365]}, "choices": null, "image_choices": null} | |
| {"qid": 6050, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 1], [-1, -9], [9, -3]], "answer": {"point": [1.2793028151071024, -3.847518136690018]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 1), B=(-1, -9), C=(9, -3). Find the incircle's center.", "im_path": "/images_full/task_06050_incircle.png", "im_dots_path": "/images/task_06050_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.2793028151071024, -3.847518136690018]}, "choices": null, "image_choices": null} | |
| {"qid": 6051, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -8], [-9, 5], [8, 4]], "answer": {"point": [-3.783357661281583, 0.25153126939244125]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -8), B=(-9, 5), C=(8, 4). Find the incircle's center.", "im_path": "/images_full/task_06051_incircle.png", "im_dots_path": "/images/task_06051_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.783357661281583, 0.25153126939244125]}, "choices": null, "image_choices": null} | |
| {"qid": 6052, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, -7], [-8, -6], [2, 8]], "answer": {"point": [-5.745476346558162, -5.266865400540572]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -7), B=(-8, -6), C=(2, 8). Find the incircle's center.", "im_path": "/images_full/task_06052_incircle.png", "im_dots_path": "/images/task_06052_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.745476346558162, -5.266865400540572]}, "choices": null, "image_choices": null} | |
| {"qid": 6053, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -4], [-2, 3], [-2, 4]], "answer": {"point": [-1.8251725517168682, 3.0358846802731883]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -4), B=(-2, 3), C=(-2, 4). Find the incircle's center.", "im_path": "/images_full/task_06053_incircle.png", "im_dots_path": "/images/task_06053_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.8251725517168682, 3.0358846802731883]}, "choices": null, "image_choices": null} | |
| {"qid": 6054, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, -2], [-1, -2], [5, -5]], "answer": {"point": [4.551326328517689, -3.310490378814504]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -2), B=(-1, -2), C=(5, -5). Find the incircle's center.", "im_path": "/images_full/task_06054_incircle.png", "im_dots_path": "/images/task_06054_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.551326328517689, -3.310490378814504]}, "choices": null, "image_choices": null} | |
| {"qid": 6055, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -3], [-2, 10], [-4, -7]], "answer": {"point": [0.9971250410695313, -0.8592428775397574]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -3), B=(-2, 10), C=(-4, -7). Find the incircle's center.", "im_path": "/images_full/task_06055_incircle.png", "im_dots_path": "/images/task_06055_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.9971250410695313, -0.8592428775397574]}, "choices": null, "image_choices": null} | |
| {"qid": 6056, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 3], [-6, -3], [5, 0]], "answer": {"point": [-1.2369168537049304, 0.433036093586115]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 3), B=(-6, -3), C=(5, 0). Find the incircle's center.", "im_path": "/images_full/task_06056_incircle.png", "im_dots_path": "/images/task_06056_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.2369168537049304, 0.433036093586115]}, "choices": null, "image_choices": null} | |
| {"qid": 6057, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 3], [-10, -1], [-8, 1]], "answer": {"point": [-7.792833795118658, 0.6858243676823935]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 3), B=(-10, -1), C=(-8, 1). Find the incircle's center.", "im_path": "/images_full/task_06057_incircle.png", "im_dots_path": "/images/task_06057_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-7.792833795118658, 0.6858243676823935]}, "choices": null, "image_choices": null} | |
| {"qid": 6058, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, -8], [10, -9], [-6, -2]], "answer": {"point": [3.3416207411569743, -7.1058559877047225]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -8), B=(10, -9), C=(-6, -2). Find the incircle's center.", "im_path": "/images_full/task_06058_incircle.png", "im_dots_path": "/images/task_06058_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.3416207411569743, -7.1058559877047225]}, "choices": null, "image_choices": null} | |
| {"qid": 6059, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 6], [5, 4], [0, 10]], "answer": {"point": [-0.6618596011182484, 7.159414642180114]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 6), B=(5, 4), C=(0, 10). Find the incircle's center.", "im_path": "/images_full/task_06059_incircle.png", "im_dots_path": "/images/task_06059_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.6618596011182484, 7.159414642180114]}, "choices": null, "image_choices": null} | |
| {"qid": 6060, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -9], [-3, 5], [-2, -9]], "answer": {"point": [1.4653478365377, -5.278298392000642]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -9), B=(-3, 5), C=(-2, -9). Find the incircle's center.", "im_path": "/images_full/task_06060_incircle.png", "im_dots_path": "/images/task_06060_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.4653478365377, -5.278298392000642]}, "choices": null, "image_choices": null} | |
| {"qid": 6061, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -3], [-9, 0], [-8, -1]], "answer": {"point": [-8.5488912789612, -1.0890727924366528]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -3), B=(-9, 0), C=(-8, -1). Find the incircle's center.", "im_path": "/images_full/task_06061_incircle.png", "im_dots_path": "/images/task_06061_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-8.5488912789612, -1.0890727924366528]}, "choices": null, "image_choices": null} | |
| {"qid": 6062, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -10], [7, 7], [3, 4]], "answer": {"point": [5.574429939884033, 3.3922595308766708]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -10), B=(7, 7), C=(3, 4). Find the incircle's center.", "im_path": "/images_full/task_06062_incircle.png", "im_dots_path": "/images/task_06062_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.574429939884033, 3.3922595308766708]}, "choices": null, "image_choices": null} | |
| {"qid": 6063, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, 0], [8, -4], [-4, 4]], "answer": {"point": [6.455166804079074, -1.1134527694087801]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, 0), B=(8, -4), C=(-4, 4). Find the incircle's center.", "im_path": "/images_full/task_06063_incircle.png", "im_dots_path": "/images/task_06063_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.455166804079074, -1.1134527694087801]}, "choices": null, "image_choices": null} | |
| {"qid": 6064, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 1], [-10, -2], [-3, -9]], "answer": {"point": [-6.516798611405544, -2.428801686095225]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 1), B=(-10, -2), C=(-3, -9). Find the incircle's center.", "im_path": "/images_full/task_06064_incircle.png", "im_dots_path": "/images/task_06064_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.516798611405544, -2.428801686095225]}, "choices": null, "image_choices": null} | |
| {"qid": 6065, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 7], [-7, -7], [5, 10]], "answer": {"point": [4.60212836577042, 7.302791849010884]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 7), B=(-7, -7), C=(5, 10). Find the incircle's center.", "im_path": "/images_full/task_06065_incircle.png", "im_dots_path": "/images/task_06065_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.60212836577042, 7.302791849010884]}, "choices": null, "image_choices": null} | |
| {"qid": 6066, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -8], [-1, -4], [0, -7]], "answer": {"point": [0.6923534149751509, -6.215714362572559]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -8), B=(-1, -4), C=(0, -7). Find the incircle's center.", "im_path": "/images_full/task_06066_incircle.png", "im_dots_path": "/images/task_06066_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.6923534149751509, -6.215714362572559]}, "choices": null, "image_choices": null} | |
| {"qid": 6067, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 8], [10, -8], [1, 9]], "answer": {"point": [3.8425996272754985, 6.773560782560234]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 8), B=(10, -8), C=(1, 9). Find the incircle's center.", "im_path": "/images_full/task_06067_incircle.png", "im_dots_path": "/images/task_06067_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.8425996272754985, 6.773560782560234]}, "choices": null, "image_choices": null} | |
| {"qid": 6068, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -10], [-1, 3], [-9, 9]], "answer": {"point": [-5.566084380618437, 2.132168761236874]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -10), B=(-1, 3), C=(-9, 9). Find the incircle's center.", "im_path": "/images_full/task_06068_incircle.png", "im_dots_path": "/images/task_06068_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.566084380618437, 2.132168761236874]}, "choices": null, "image_choices": null} | |
| {"qid": 6069, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 8], [10, -10], [-5, -5]], "answer": {"point": [-1.6039192172800103, -2.348420250608794]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 8), B=(10, -10), C=(-5, -5). Find the incircle's center.", "im_path": "/images_full/task_06069_incircle.png", "im_dots_path": "/images/task_06069_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.6039192172800103, -2.348420250608794]}, "choices": null, "image_choices": null} | |
| {"qid": 6070, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, -3], [9, 3], [-2, -5]], "answer": {"point": [-2.035246546525913, -3.2722002022956223]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -3), B=(9, 3), C=(-2, -5). Find the incircle's center.", "im_path": "/images_full/task_06070_incircle.png", "im_dots_path": "/images/task_06070_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.035246546525913, -3.2722002022956223]}, "choices": null, "image_choices": null} | |
| {"qid": 6071, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 10], [-6, -3], [6, -3]], "answer": {"point": [1.62413651444541, 0.7541362364800875]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 10), B=(-6, -3), C=(6, -3). Find the incircle's center.", "im_path": "/images_full/task_06071_incircle.png", "im_dots_path": "/images/task_06071_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.62413651444541, 0.7541362364800875]}, "choices": null, "image_choices": null} | |
| {"qid": 6072, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -3], [9, -10], [6, 5]], "answer": {"point": [2.6714029050110546, -2.313208019229203]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -3), B=(9, -10), C=(6, 5). Find the incircle's center.", "im_path": "/images_full/task_06072_incircle.png", "im_dots_path": "/images/task_06072_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [2.6714029050110546, -2.313208019229203]}, "choices": null, "image_choices": null} | |
| {"qid": 6073, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 2], [8, 6], [0, 7]], "answer": {"point": [4.148347326652319, 4.678468116920699]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 2), B=(8, 6), C=(0, 7). Find the incircle's center.", "im_path": "/images_full/task_06073_incircle.png", "im_dots_path": "/images/task_06073_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.148347326652319, 4.678468116920699]}, "choices": null, "image_choices": null} | |
| {"qid": 6074, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, 7], [8, 5], [6, 9]], "answer": {"point": [7.569918512921979, 6.821854415126695]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, 7), B=(8, 5), C=(6, 9). Find the incircle's center.", "im_path": "/images_full/task_06074_incircle.png", "im_dots_path": "/images/task_06074_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.569918512921979, 6.821854415126695]}, "choices": null, "image_choices": null} | |
| {"qid": 6075, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 2], [2, 1], [8, 5]], "answer": {"point": [1.7085375310005158, 2.2849546246845143]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 2), B=(2, 1), C=(8, 5). Find the incircle's center.", "im_path": "/images_full/task_06075_incircle.png", "im_dots_path": "/images/task_06075_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.7085375310005158, 2.2849546246845143]}, "choices": null, "image_choices": null} | |
| {"qid": 6076, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -6], [9, 0], [3, -9]], "answer": {"point": [2.517201175879653, -6.181440068242658]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -6), B=(9, 0), C=(3, -9). Find the incircle's center.", "im_path": "/images_full/task_06076_incircle.png", "im_dots_path": "/images/task_06076_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [2.517201175879653, -6.181440068242658]}, "choices": null, "image_choices": null} | |
| {"qid": 6077, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 0], [5, -5], [4, 10]], "answer": {"point": [-0.022147193196559615, 1.5003460509488586]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 0), B=(5, -5), C=(4, 10). Find the incircle's center.", "im_path": "/images_full/task_06077_incircle.png", "im_dots_path": "/images/task_06077_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.022147193196559615, 1.5003460509488586]}, "choices": null, "image_choices": null} | |
| {"qid": 6078, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, -5], [-8, -9], [1, 2]], "answer": {"point": [-0.11742361073693001, -3.4091425164171185]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -5), B=(-8, -9), C=(1, 2). Find the incircle's center.", "im_path": "/images_full/task_06078_incircle.png", "im_dots_path": "/images/task_06078_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.11742361073693001, -3.4091425164171185]}, "choices": null, "image_choices": null} | |
| {"qid": 6079, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -9], [-8, 5], [9, -7]], "answer": {"point": [5.411891669731429, -6.728554224432714]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -9), B=(-8, 5), C=(9, -7). Find the incircle's center.", "im_path": "/images_full/task_06079_incircle.png", "im_dots_path": "/images/task_06079_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.411891669731429, -6.728554224432714]}, "choices": null, "image_choices": null} | |
| {"qid": 6080, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 9], [9, -6], [6, 8]], "answer": {"point": [5.3225011495311, 7.475143362980634]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 9), B=(9, -6), C=(6, 8). Find the incircle's center.", "im_path": "/images_full/task_06080_incircle.png", "im_dots_path": "/images/task_06080_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.3225011495311, 7.475143362980634]}, "choices": null, "image_choices": null} | |
| {"qid": 6081, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, -10], [0, -4], [6, -2]], "answer": {"point": [3.8956447324581047, -4.919636973049093]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -10), B=(0, -4), C=(6, -2). Find the incircle's center.", "im_path": "/images_full/task_06081_incircle.png", "im_dots_path": "/images/task_06081_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.8956447324581047, -4.919636973049093]}, "choices": null, "image_choices": null} | |
| {"qid": 6082, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -10], [-1, 5], [10, 4]], "answer": {"point": [5.8375644947648695, 0.7082530728523952]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -10), B=(-1, 5), C=(10, 4). Find the incircle's center.", "im_path": "/images_full/task_06082_incircle.png", "im_dots_path": "/images/task_06082_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.8375644947648695, 0.7082530728523952]}, "choices": null, "image_choices": null} | |
| {"qid": 6083, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 4], [0, -8], [-7, 1]], "answer": {"point": [-6.918841415997244, 1.0584957977066853]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 4), B=(0, -8), C=(-7, 1). Find the incircle's center.", "im_path": "/images_full/task_06083_incircle.png", "im_dots_path": "/images/task_06083_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.918841415997244, 1.0584957977066853]}, "choices": null, "image_choices": null} | |
| {"qid": 6084, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, 4], [4, -7], [2, 1]], "answer": {"point": [0.3405454522191604, -0.5367065854349083]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 4), B=(4, -7), C=(2, 1). Find the incircle's center.", "im_path": "/images_full/task_06084_incircle.png", "im_dots_path": "/images/task_06084_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.3405454522191604, -0.5367065854349083]}, "choices": null, "image_choices": null} | |
| {"qid": 6085, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 8], [6, -4], [-10, 7]], "answer": {"point": [1.4382509920880913, 3.8607131880683783]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 8), B=(6, -4), C=(-10, 7). Find the incircle's center.", "im_path": "/images_full/task_06085_incircle.png", "im_dots_path": "/images/task_06085_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.4382509920880913, 3.8607131880683783]}, "choices": null, "image_choices": null} | |
| {"qid": 6086, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 5], [-3, 4], [4, 9]], "answer": {"point": [-3.162904067859621, 5.083371939230182]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 5), B=(-3, 4), C=(4, 9). Find the incircle's center.", "im_path": "/images_full/task_06086_incircle.png", "im_dots_path": "/images/task_06086_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.162904067859621, 5.083371939230182]}, "choices": null, "image_choices": null} | |
| {"qid": 6087, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -7], [-4, -10], [-10, 6]], "answer": {"point": [-2.0901699437494745, -5.798373876248844]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -7), B=(-4, -10), C=(-10, 6). Find the incircle's center.", "im_path": "/images_full/task_06087_incircle.png", "im_dots_path": "/images/task_06087_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.0901699437494745, -5.798373876248844]}, "choices": null, "image_choices": null} | |
| {"qid": 6088, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 9], [0, -6], [-6, 8]], "answer": {"point": [-4.669987237104442, 7.512805882425503]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 9), B=(0, -6), C=(-6, 8). Find the incircle's center.", "im_path": "/images_full/task_06088_incircle.png", "im_dots_path": "/images/task_06088_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-4.669987237104442, 7.512805882425503]}, "choices": null, "image_choices": null} | |
| {"qid": 6089, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -9], [-7, -6], [3, 5]], "answer": {"point": [-1.5577477947921234, -4.684875339327577]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -9), B=(-7, -6), C=(3, 5). Find the incircle's center.", "im_path": "/images_full/task_06089_incircle.png", "im_dots_path": "/images/task_06089_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.5577477947921234, -4.684875339327577]}, "choices": null, "image_choices": null} | |
| {"qid": 6090, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 8], [-7, -4], [-5, -4]], "answer": {"point": [-5.758207209961461, -3.1049663971805015]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 8), B=(-7, -4), C=(-5, -4). Find the incircle's center.", "im_path": "/images_full/task_06090_incircle.png", "im_dots_path": "/images/task_06090_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.758207209961461, -3.1049663971805015]}, "choices": null, "image_choices": null} | |
| {"qid": 6091, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 5], [-1, 1], [-7, -7]], "answer": {"point": [-0.0644868328535714, -0.26166479038158]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 5), B=(-1, 1), C=(-7, -7). Find the incircle's center.", "im_path": "/images_full/task_06091_incircle.png", "im_dots_path": "/images/task_06091_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.0644868328535714, -0.26166479038158]}, "choices": null, "image_choices": null} | |
| {"qid": 6092, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, -1], [4, 2], [-10, 7]], "answer": {"point": [-3.13990077290528, 1.9437837940704306]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -1), B=(4, 2), C=(-10, 7). Find the incircle's center.", "im_path": "/images_full/task_06092_incircle.png", "im_dots_path": "/images/task_06092_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.13990077290528, 1.9437837940704306]}, "choices": null, "image_choices": null} | |
| {"qid": 6093, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -2], [-7, -3], [7, -10]], "answer": {"point": [0.06193968802880893, -4.2096589251034064]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -2), B=(-7, -3), C=(7, -10). Find the incircle's center.", "im_path": "/images_full/task_06093_incircle.png", "im_dots_path": "/images/task_06093_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.06193968802880893, -4.2096589251034064]}, "choices": null, "image_choices": null} | |
| {"qid": 6094, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 5], [0, -2], [-5, -5]], "answer": {"point": [-0.07550919740058384, -1.8836277358246583]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 5), B=(0, -2), C=(-5, -5). Find the incircle's center.", "im_path": "/images_full/task_06094_incircle.png", "im_dots_path": "/images/task_06094_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.07550919740058384, -1.8836277358246583]}, "choices": null, "image_choices": null} | |
| {"qid": 6095, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, -6], [-8, 8], [10, -9]], "answer": {"point": [6.957900510107257, -6.043576218428055]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -6), B=(-8, 8), C=(10, -9). Find the incircle's center.", "im_path": "/images_full/task_06095_incircle.png", "im_dots_path": "/images/task_06095_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.957900510107257, -6.043576218428055]}, "choices": null, "image_choices": null} | |
| {"qid": 6096, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -3], [-9, -1], [3, -7]], "answer": {"point": [-3.1973608789618795, -3.403531821490685]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -3), B=(-9, -1), C=(3, -7). Find the incircle's center.", "im_path": "/images_full/task_06096_incircle.png", "im_dots_path": "/images/task_06096_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.1973608789618795, -3.403531821490685]}, "choices": null, "image_choices": null} | |
| {"qid": 6097, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -6], [3, 10], [5, -4]], "answer": {"point": [3.114130632630757, -3.0118931887834637]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -6), B=(3, 10), C=(5, -4). Find the incircle's center.", "im_path": "/images_full/task_06097_incircle.png", "im_dots_path": "/images/task_06097_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.114130632630757, -3.0118931887834637]}, "choices": null, "image_choices": null} | |
| {"qid": 6098, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 5], [4, -6], [-4, -10]], "answer": {"point": [1.0415945787922951, -4.520797289396147]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(4, -6), C=(-4, -10). Find the incircle's center.", "im_path": "/images_full/task_06098_incircle.png", "im_dots_path": "/images/task_06098_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.0415945787922951, -4.520797289396147]}, "choices": null, "image_choices": null} | |
| {"qid": 6099, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 6], [-3, -4], [6, 5]], "answer": {"point": [-2.493147986689658, 1.7887021887510577]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 6), B=(-3, -4), C=(6, 5). Find the incircle's center.", "im_path": "/images_full/task_06099_incircle.png", "im_dots_path": "/images/task_06099_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.493147986689658, 1.7887021887510577]}, "choices": null, "image_choices": null} | |