{"qid": 7100, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, -4], "B": [-5, 7]}, "answer": 11.704699910719626, "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": "Points A=(-9, -4), B=(-5, 7). What is the length of segment AB?", "im_path": "/images_full/task_07100_length.png", "im_dots_path": "/images/task_07100_length.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 length of segment AB?", "image_answer": 11.704699910719626, "choices": null, "image_choices": null}
{"qid": 7101, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [8, -1], "B": [9, 9]}, "answer": 10.04987562112089, "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": "Points A=(8, -1), B=(9, 9). What is the length of segment AB?", "im_path": "/images_full/task_07101_length.png", "im_dots_path": "/images/task_07101_length.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 length of segment AB?", "image_answer": 10.04987562112089, "choices": null, "image_choices": null}
{"qid": 7102, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -4], "B": [-2, -1]}, "answer": 5.0, "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": "Points A=(-6, -4), B=(-2, -1). What is the length of segment AB?", "im_path": "/images_full/task_07102_length.png", "im_dots_path": "/images/task_07102_length.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 length of segment AB?", "image_answer": 5.0, "choices": null, "image_choices": null}
{"qid": 7103, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [6, 8], "B": [-4, -5]}, "answer": 16.401219466856727, "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": "Points A=(6, 8), B=(-4, -5). What is the length of segment AB?", "im_path": "/images_full/task_07103_length.png", "im_dots_path": "/images/task_07103_length.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 length of segment AB?", "image_answer": 16.401219466856727, "choices": null, "image_choices": null}
{"qid": 7104, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, 9], "B": [10, -7]}, "answer": 17.08800749063506, "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": "Points A=(4, 9), B=(10, -7). What is the length of segment AB?", "im_path": "/images_full/task_07104_length.png", "im_dots_path": "/images/task_07104_length.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 length of segment AB?", "image_answer": 17.08800749063506, "choices": null, "image_choices": null}
{"qid": 7105, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, -4], "B": [6, -10]}, "answer": 6.708203932499369, "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": "Points A=(9, -4), B=(6, -10). What is the length of segment AB?", "im_path": "/images_full/task_07105_length.png", "im_dots_path": "/images/task_07105_length.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 length of segment AB?", "image_answer": 6.708203932499369, "choices": null, "image_choices": null}
{"qid": 7106, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-2, -2], "B": [8, -2]}, "answer": 10.0, "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": "Points A=(-2, -2), B=(8, -2). What is the length of segment AB?", "im_path": "/images_full/task_07106_length.png", "im_dots_path": "/images/task_07106_length.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 length of segment AB?", "image_answer": 10.0, "choices": null, "image_choices": null}
{"qid": 7107, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, -8], "B": [0, -9]}, "answer": 9.055385138137417, "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": "Points A=(9, -8), B=(0, -9). What is the length of segment AB?", "im_path": "/images_full/task_07107_length.png", "im_dots_path": "/images/task_07107_length.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 length of segment AB?", "image_answer": 9.055385138137417, "choices": null, "image_choices": null}
{"qid": 7108, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [6, -2], "B": [-8, -7]}, "answer": 14.866068747318506, "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": "Points A=(6, -2), B=(-8, -7). What is the length of segment AB?", "im_path": "/images_full/task_07108_length.png", "im_dots_path": "/images/task_07108_length.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 length of segment AB?", "image_answer": 14.866068747318506, "choices": null, "image_choices": null}
{"qid": 7109, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, 4], "B": [4, 8]}, "answer": 5.0, "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": "Points A=(1, 4), B=(4, 8). What is the length of segment AB?", "im_path": "/images_full/task_07109_length.png", "im_dots_path": "/images/task_07109_length.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 length of segment AB?", "image_answer": 5.0, "choices": null, "image_choices": null}
{"qid": 7110, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [2, -8], "B": [5, 2]}, "answer": 10.44030650891055, "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": "Points A=(2, -8), B=(5, 2). What is the length of segment AB?", "im_path": "/images_full/task_07110_length.png", "im_dots_path": "/images/task_07110_length.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 length of segment AB?", "image_answer": 10.44030650891055, "choices": null, "image_choices": null}
{"qid": 7111, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-4, -2], "B": [5, 3]}, "answer": 10.295630140987, "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": "Points A=(-4, -2), B=(5, 3). What is the length of segment AB?", "im_path": "/images_full/task_07111_length.png", "im_dots_path": "/images/task_07111_length.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 length of segment AB?", "image_answer": 10.295630140987, "choices": null, "image_choices": null}
{"qid": 7112, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [7, 2], "B": [2, -1]}, "answer": 5.830951894845301, "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": "Points A=(7, 2), B=(2, -1). What is the length of segment AB?", "im_path": "/images_full/task_07112_length.png", "im_dots_path": "/images/task_07112_length.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 length of segment AB?", "image_answer": 5.830951894845301, "choices": null, "image_choices": null}
{"qid": 7113, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, -8], "B": [0, -4]}, "answer": 4.123105625617661, "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": "Points A=(1, -8), B=(0, -4). What is the length of segment AB?", "im_path": "/images_full/task_07113_length.png", "im_dots_path": "/images/task_07113_length.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 length of segment AB?", "image_answer": 4.123105625617661, "choices": null, "image_choices": null}
{"qid": 7114, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, 6], "B": [1, 10]}, "answer": 8.94427190999916, "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": "Points A=(9, 6), B=(1, 10). What is the length of segment AB?", "im_path": "/images_full/task_07114_length.png", "im_dots_path": "/images/task_07114_length.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 length of segment AB?", "image_answer": 8.94427190999916, "choices": null, "image_choices": null}
{"qid": 7115, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, 4], "B": [-4, 4]}, "answer": 13.0, "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": "Points A=(9, 4), B=(-4, 4). What is the length of segment AB?", "im_path": "/images_full/task_07115_length.png", "im_dots_path": "/images/task_07115_length.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 length of segment AB?", "image_answer": 13.0, "choices": null, "image_choices": null}
{"qid": 7116, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, -7], "B": [-8, 9]}, "answer": 16.278820596099706, "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": "Points A=(-5, -7), B=(-8, 9). What is the length of segment AB?", "im_path": "/images_full/task_07116_length.png", "im_dots_path": "/images/task_07116_length.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 length of segment AB?", "image_answer": 16.278820596099706, "choices": null, "image_choices": null}
{"qid": 7117, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, 8], "B": [0, -4]}, "answer": 12.041594578792296, "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": "Points A=(1, 8), B=(0, -4). What is the length of segment AB?", "im_path": "/images_full/task_07117_length.png", "im_dots_path": "/images/task_07117_length.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 length of segment AB?", "image_answer": 12.041594578792296, "choices": null, "image_choices": null}
{"qid": 7118, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, -6], "B": [-3, -4]}, "answer": 2.8284271247461903, "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": "Points A=(-5, -6), B=(-3, -4). What is the length of segment AB?", "im_path": "/images_full/task_07118_length.png", "im_dots_path": "/images/task_07118_length.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 length of segment AB?", "image_answer": 2.8284271247461903, "choices": null, "image_choices": null}
{"qid": 7119, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [6, -3], "B": [6, -4]}, "answer": 1.0, "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": "Points A=(6, -3), B=(6, -4). What is the length of segment AB?", "im_path": "/images_full/task_07119_length.png", "im_dots_path": "/images/task_07119_length.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 length of segment AB?", "image_answer": 1.0, "choices": null, "image_choices": null}
{"qid": 7120, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [8, 5], "B": [-5, -10]}, "answer": 19.849433241279208, "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": "Points A=(8, 5), B=(-5, -10). What is the length of segment AB?", "im_path": "/images_full/task_07120_length.png", "im_dots_path": "/images/task_07120_length.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 length of segment AB?", "image_answer": 19.849433241279208, "choices": null, "image_choices": null}
{"qid": 7121, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [5, -5], "B": [4, -2]}, "answer": 3.1622776601683795, "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": "Points A=(5, -5), B=(4, -2). What is the length of segment AB?", "im_path": "/images_full/task_07121_length.png", "im_dots_path": "/images/task_07121_length.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 length of segment AB?", "image_answer": 3.1622776601683795, "choices": null, "image_choices": null}
{"qid": 7122, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [5, 1], "B": [-6, 6]}, "answer": 12.083045973594572, "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": "Points A=(5, 1), B=(-6, 6). What is the length of segment AB?", "im_path": "/images_full/task_07122_length.png", "im_dots_path": "/images/task_07122_length.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 length of segment AB?", "image_answer": 12.083045973594572, "choices": null, "image_choices": null}
{"qid": 7123, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, 10], "B": [3, 8]}, "answer": 8.246211251235321, "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": "Points A=(-5, 10), B=(3, 8). What is the length of segment AB?", "im_path": "/images_full/task_07123_length.png", "im_dots_path": "/images/task_07123_length.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 length of segment AB?", "image_answer": 8.246211251235321, "choices": null, "image_choices": null}
{"qid": 7124, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, 10], "B": [-2, 8]}, "answer": 3.605551275463989, "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": "Points A=(-5, 10), B=(-2, 8). What is the length of segment AB?", "im_path": "/images_full/task_07124_length.png", "im_dots_path": "/images/task_07124_length.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 length of segment AB?", "image_answer": 3.605551275463989, "choices": null, "image_choices": null}
{"qid": 7125, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [7, -7], "B": [3, 8]}, "answer": 15.524174696260024, "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": "Points A=(7, -7), B=(3, 8). What is the length of segment AB?", "im_path": "/images_full/task_07125_length.png", "im_dots_path": "/images/task_07125_length.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 length of segment AB?", "image_answer": 15.524174696260024, "choices": null, "image_choices": null}
{"qid": 7126, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, -2], "B": [3, 6]}, "answer": 14.422205101855956, "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": "Points A=(-9, -2), B=(3, 6). What is the length of segment AB?", "im_path": "/images_full/task_07126_length.png", "im_dots_path": "/images/task_07126_length.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 length of segment AB?", "image_answer": 14.422205101855956, "choices": null, "image_choices": null}
{"qid": 7127, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [2, 8], "B": [2, -5]}, "answer": 13.0, "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": "Points A=(2, 8), B=(2, -5). What is the length of segment AB?", "im_path": "/images_full/task_07127_length.png", "im_dots_path": "/images/task_07127_length.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 length of segment AB?", "image_answer": 13.0, "choices": null, "image_choices": null}
{"qid": 7128, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, -10], "B": [4, 8]}, "answer": 22.20360331117452, "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": "Points A=(-9, -10), B=(4, 8). What is the length of segment AB?", "im_path": "/images_full/task_07128_length.png", "im_dots_path": "/images/task_07128_length.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 length of segment AB?", "image_answer": 22.20360331117452, "choices": null, "image_choices": null}
{"qid": 7129, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, -3], "B": [9, -2]}, "answer": 1.0, "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": "Points A=(9, -3), B=(9, -2). What is the length of segment AB?", "im_path": "/images_full/task_07129_length.png", "im_dots_path": "/images/task_07129_length.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 length of segment AB?", "image_answer": 1.0, "choices": null, "image_choices": null}
{"qid": 7130, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-4, 9], "B": [9, 0]}, "answer": 15.811388300841896, "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": "Points A=(-4, 9), B=(9, 0). What is the length of segment AB?", "im_path": "/images_full/task_07130_length.png", "im_dots_path": "/images/task_07130_length.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 length of segment AB?", "image_answer": 15.811388300841896, "choices": null, "image_choices": null}
{"qid": 7131, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-2, 7], "B": [10, 10]}, "answer": 12.36931687685298, "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": "Points A=(-2, 7), B=(10, 10). What is the length of segment AB?", "im_path": "/images_full/task_07131_length.png", "im_dots_path": "/images/task_07131_length.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 length of segment AB?", "image_answer": 12.36931687685298, "choices": null, "image_choices": null}
{"qid": 7132, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-8, 1], "B": [-2, 8]}, "answer": 9.219544457292887, "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": "Points A=(-8, 1), B=(-2, 8). What is the length of segment AB?", "im_path": "/images_full/task_07132_length.png", "im_dots_path": "/images/task_07132_length.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 length of segment AB?", "image_answer": 9.219544457292887, "choices": null, "image_choices": null}
{"qid": 7133, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, -5], "B": [9, 10]}, "answer": 23.430749027719962, "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": "Points A=(-9, -5), B=(9, 10). What is the length of segment AB?", "im_path": "/images_full/task_07133_length.png", "im_dots_path": "/images/task_07133_length.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 length of segment AB?", "image_answer": 23.430749027719962, "choices": null, "image_choices": null}
{"qid": 7134, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, -6], "B": [3, -10]}, "answer": 4.123105625617661, "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": "Points A=(4, -6), B=(3, -10). What is the length of segment AB?", "im_path": "/images_full/task_07134_length.png", "im_dots_path": "/images/task_07134_length.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 length of segment AB?", "image_answer": 4.123105625617661, "choices": null, "image_choices": null}
{"qid": 7135, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [0, -4], "B": [4, -3]}, "answer": 4.123105625617661, "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": "Points A=(0, -4), B=(4, -3). What is the length of segment AB?", "im_path": "/images_full/task_07135_length.png", "im_dots_path": "/images/task_07135_length.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 length of segment AB?", "image_answer": 4.123105625617661, "choices": null, "image_choices": null}
{"qid": 7136, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-7, 2], "B": [2, 4]}, "answer": 9.219544457292887, "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": "Points A=(-7, 2), B=(2, 4). What is the length of segment AB?", "im_path": "/images_full/task_07136_length.png", "im_dots_path": "/images/task_07136_length.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 length of segment AB?", "image_answer": 9.219544457292887, "choices": null, "image_choices": null}
{"qid": 7137, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, -3], "B": [5, -1]}, "answer": 2.23606797749979, "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": "Points A=(4, -3), B=(5, -1). What is the length of segment AB?", "im_path": "/images_full/task_07137_length.png", "im_dots_path": "/images/task_07137_length.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 length of segment AB?", "image_answer": 2.23606797749979, "choices": null, "image_choices": null}
{"qid": 7138, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [8, 3], "B": [-5, -10]}, "answer": 18.384776310850235, "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": "Points A=(8, 3), B=(-5, -10). What is the length of segment AB?", "im_path": "/images_full/task_07138_length.png", "im_dots_path": "/images/task_07138_length.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 length of segment AB?", "image_answer": 18.384776310850235, "choices": null, "image_choices": null}
{"qid": 7139, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [10, 6], "B": [4, -9]}, "answer": 16.15549442140351, "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": "Points A=(10, 6), B=(4, -9). What is the length of segment AB?", "im_path": "/images_full/task_07139_length.png", "im_dots_path": "/images/task_07139_length.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 length of segment AB?", "image_answer": 16.15549442140351, "choices": null, "image_choices": null}
{"qid": 7140, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, 7], "B": [7, -9]}, "answer": 20.0, "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": "Points A=(-5, 7), B=(7, -9). What is the length of segment AB?", "im_path": "/images_full/task_07140_length.png", "im_dots_path": "/images/task_07140_length.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 length of segment AB?", "image_answer": 20.0, "choices": null, "image_choices": null}
{"qid": 7141, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-10, 0], "B": [4, -4]}, "answer": 14.560219778561036, "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": "Points A=(-10, 0), B=(4, -4). What is the length of segment AB?", "im_path": "/images_full/task_07141_length.png", "im_dots_path": "/images/task_07141_length.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 length of segment AB?", "image_answer": 14.560219778561036, "choices": null, "image_choices": null}
{"qid": 7142, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, 6], "B": [10, 1]}, "answer": 7.810249675906654, "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": "Points A=(4, 6), B=(10, 1). What is the length of segment AB?", "im_path": "/images_full/task_07142_length.png", "im_dots_path": "/images/task_07142_length.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 length of segment AB?", "image_answer": 7.810249675906654, "choices": null, "image_choices": null}
{"qid": 7143, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -4], "B": [-4, -2]}, "answer": 2.8284271247461903, "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": "Points A=(-6, -4), B=(-4, -2). What is the length of segment AB?", "im_path": "/images_full/task_07143_length.png", "im_dots_path": "/images/task_07143_length.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 length of segment AB?", "image_answer": 2.8284271247461903, "choices": null, "image_choices": null}
{"qid": 7144, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, -9], "B": [7, -5]}, "answer": 7.211102550927978, "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": "Points A=(1, -9), B=(7, -5). What is the length of segment AB?", "im_path": "/images_full/task_07144_length.png", "im_dots_path": "/images/task_07144_length.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 length of segment AB?", "image_answer": 7.211102550927978, "choices": null, "image_choices": null}
{"qid": 7145, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [2, 3], "B": [9, -5]}, "answer": 10.63014581273465, "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": "Points A=(2, 3), B=(9, -5). What is the length of segment AB?", "im_path": "/images_full/task_07145_length.png", "im_dots_path": "/images/task_07145_length.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 length of segment AB?", "image_answer": 10.63014581273465, "choices": null, "image_choices": null}
{"qid": 7146, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-1, 3], "B": [-1, 6]}, "answer": 3.0, "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": "Points A=(-1, 3), B=(-1, 6). What is the length of segment AB?", "im_path": "/images_full/task_07146_length.png", "im_dots_path": "/images/task_07146_length.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 length of segment AB?", "image_answer": 3.0, "choices": null, "image_choices": null}
{"qid": 7147, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, 5], "B": [10, 4]}, "answer": 9.055385138137417, "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": "Points A=(1, 5), B=(10, 4). What is the length of segment AB?", "im_path": "/images_full/task_07147_length.png", "im_dots_path": "/images/task_07147_length.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 length of segment AB?", "image_answer": 9.055385138137417, "choices": null, "image_choices": null}
{"qid": 7148, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-3, 7], "B": [0, -7]}, "answer": 14.317821063276353, "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": "Points A=(-3, 7), B=(0, -7). What is the length of segment AB?", "im_path": "/images_full/task_07148_length.png", "im_dots_path": "/images/task_07148_length.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 length of segment AB?", "image_answer": 14.317821063276353, "choices": null, "image_choices": null}
{"qid": 7149, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [7, -9], "B": [-4, 8]}, "answer": 20.248456731316587, "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": "Points A=(7, -9), B=(-4, 8). What is the length of segment AB?", "im_path": "/images_full/task_07149_length.png", "im_dots_path": "/images/task_07149_length.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 length of segment AB?", "image_answer": 20.248456731316587, "choices": null, "image_choices": null}
{"qid": 7150, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, 9], "B": [-10, 3]}, "answer": 15.231546211727817, "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": "Points A=(4, 9), B=(-10, 3). What is the length of segment AB?", "im_path": "/images_full/task_07150_length.png", "im_dots_path": "/images/task_07150_length.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 length of segment AB?", "image_answer": 15.231546211727817, "choices": null, "image_choices": null}
{"qid": 7151, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-8, 7], "B": [-4, -3]}, "answer": 10.770329614269007, "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": "Points A=(-8, 7), B=(-4, -3). What is the length of segment AB?", "im_path": "/images_full/task_07151_length.png", "im_dots_path": "/images/task_07151_length.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 length of segment AB?", "image_answer": 10.770329614269007, "choices": null, "image_choices": null}
{"qid": 7152, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-2, -5], "B": [-10, -4]}, "answer": 8.06225774829855, "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": "Points A=(-2, -5), B=(-10, -4). What is the length of segment AB?", "im_path": "/images_full/task_07152_length.png", "im_dots_path": "/images/task_07152_length.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 length of segment AB?", "image_answer": 8.06225774829855, "choices": null, "image_choices": null}
{"qid": 7153, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -2], "B": [-10, 3]}, "answer": 6.4031242374328485, "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": "Points A=(-6, -2), B=(-10, 3). What is the length of segment AB?", "im_path": "/images_full/task_07153_length.png", "im_dots_path": "/images/task_07153_length.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 length of segment AB?", "image_answer": 6.4031242374328485, "choices": null, "image_choices": null}
{"qid": 7154, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [2, 9], "B": [-7, -8]}, "answer": 19.235384061671343, "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": "Points A=(2, 9), B=(-7, -8). What is the length of segment AB?", "im_path": "/images_full/task_07154_length.png", "im_dots_path": "/images/task_07154_length.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 length of segment AB?", "image_answer": 19.235384061671343, "choices": null, "image_choices": null}
{"qid": 7155, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-4, 9], "B": [-8, -9]}, "answer": 18.439088914585774, "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": "Points A=(-4, 9), B=(-8, -9). What is the length of segment AB?", "im_path": "/images_full/task_07155_length.png", "im_dots_path": "/images/task_07155_length.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 length of segment AB?", "image_answer": 18.439088914585774, "choices": null, "image_choices": null}
{"qid": 7156, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-7, -8], "B": [-7, -2]}, "answer": 6.0, "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": "Points A=(-7, -8), B=(-7, -2). What is the length of segment AB?", "im_path": "/images_full/task_07156_length.png", "im_dots_path": "/images/task_07156_length.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 length of segment AB?", "image_answer": 6.0, "choices": null, "image_choices": null}
{"qid": 7157, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [10, 8], "B": [3, -6]}, "answer": 15.652475842498529, "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": "Points A=(10, 8), B=(3, -6). What is the length of segment AB?", "im_path": "/images_full/task_07157_length.png", "im_dots_path": "/images/task_07157_length.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 length of segment AB?", "image_answer": 15.652475842498529, "choices": null, "image_choices": null}
{"qid": 7158, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, 4], "B": [-10, 7]}, "answer": 3.1622776601683795, "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": "Points A=(-9, 4), B=(-10, 7). What is the length of segment AB?", "im_path": "/images_full/task_07158_length.png", "im_dots_path": "/images/task_07158_length.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 length of segment AB?", "image_answer": 3.1622776601683795, "choices": null, "image_choices": null}
{"qid": 7159, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, 10], "B": [8, -9]}, "answer": 23.600847442411894, "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": "Points A=(-6, 10), B=(8, -9). What is the length of segment AB?", "im_path": "/images_full/task_07159_length.png", "im_dots_path": "/images/task_07159_length.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 length of segment AB?", "image_answer": 23.600847442411894, "choices": null, "image_choices": null}
{"qid": 7160, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, 1], "B": [-1, 5]}, "answer": 10.770329614269007, "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": "Points A=(9, 1), B=(-1, 5). What is the length of segment AB?", "im_path": "/images_full/task_07160_length.png", "im_dots_path": "/images/task_07160_length.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 length of segment AB?", "image_answer": 10.770329614269007, "choices": null, "image_choices": null}
{"qid": 7161, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, -3], "B": [9, 7]}, "answer": 20.591260281974, "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": "Points A=(-9, -3), B=(9, 7). What is the length of segment AB?", "im_path": "/images_full/task_07161_length.png", "im_dots_path": "/images/task_07161_length.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 length of segment AB?", "image_answer": 20.591260281974, "choices": null, "image_choices": null}
{"qid": 7162, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-4, -1], "B": [-3, -4]}, "answer": 3.1622776601683795, "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": "Points A=(-4, -1), B=(-3, -4). What is the length of segment AB?", "im_path": "/images_full/task_07162_length.png", "im_dots_path": "/images/task_07162_length.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 length of segment AB?", "image_answer": 3.1622776601683795, "choices": null, "image_choices": null}
{"qid": 7163, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, 7], "B": [-5, -5]}, "answer": 12.041594578792296, "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": "Points A=(-6, 7), B=(-5, -5). What is the length of segment AB?", "im_path": "/images_full/task_07163_length.png", "im_dots_path": "/images/task_07163_length.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 length of segment AB?", "image_answer": 12.041594578792296, "choices": null, "image_choices": null}
{"qid": 7164, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, 2], "B": [7, 2]}, "answer": 6.0, "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": "Points A=(1, 2), B=(7, 2). What is the length of segment AB?", "im_path": "/images_full/task_07164_length.png", "im_dots_path": "/images/task_07164_length.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 length of segment AB?", "image_answer": 6.0, "choices": null, "image_choices": null}
{"qid": 7165, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [2, -8], "B": [1, 5]}, "answer": 13.038404810405298, "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": "Points A=(2, -8), B=(1, 5). What is the length of segment AB?", "im_path": "/images_full/task_07165_length.png", "im_dots_path": "/images/task_07165_length.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 length of segment AB?", "image_answer": 13.038404810405298, "choices": null, "image_choices": null}
{"qid": 7166, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-4, -5], "B": [1, 0]}, "answer": 7.0710678118654755, "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": "Points A=(-4, -5), B=(1, 0). What is the length of segment AB?", "im_path": "/images_full/task_07166_length.png", "im_dots_path": "/images/task_07166_length.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 length of segment AB?", "image_answer": 7.0710678118654755, "choices": null, "image_choices": null}
{"qid": 7167, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [6, -8], "B": [0, -5]}, "answer": 6.708203932499369, "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": "Points A=(6, -8), B=(0, -5). What is the length of segment AB?", "im_path": "/images_full/task_07167_length.png", "im_dots_path": "/images/task_07167_length.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 length of segment AB?", "image_answer": 6.708203932499369, "choices": null, "image_choices": null}
{"qid": 7168, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, -9], "B": [5, 4]}, "answer": 13.601470508735444, "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": "Points A=(1, -9), B=(5, 4). What is the length of segment AB?", "im_path": "/images_full/task_07168_length.png", "im_dots_path": "/images/task_07168_length.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 length of segment AB?", "image_answer": 13.601470508735444, "choices": null, "image_choices": null}
{"qid": 7169, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -7], "B": [-4, 6]}, "answer": 13.152946437965905, "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": "Points A=(-6, -7), B=(-4, 6). What is the length of segment AB?", "im_path": "/images_full/task_07169_length.png", "im_dots_path": "/images/task_07169_length.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 length of segment AB?", "image_answer": 13.152946437965905, "choices": null, "image_choices": null}
{"qid": 7170, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-1, 4], "B": [-7, -4]}, "answer": 10.0, "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": "Points A=(-1, 4), B=(-7, -4). What is the length of segment AB?", "im_path": "/images_full/task_07170_length.png", "im_dots_path": "/images/task_07170_length.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 length of segment AB?", "image_answer": 10.0, "choices": null, "image_choices": null}
{"qid": 7171, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, -6], "B": [-8, 8]}, "answer": 18.439088914585774, "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": "Points A=(4, -6), B=(-8, 8). What is the length of segment AB?", "im_path": "/images_full/task_07171_length.png", "im_dots_path": "/images/task_07171_length.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 length of segment AB?", "image_answer": 18.439088914585774, "choices": null, "image_choices": null}
{"qid": 7172, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -6], "B": [-3, 5]}, "answer": 11.40175425099138, "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": "Points A=(-6, -6), B=(-3, 5). What is the length of segment AB?", "im_path": "/images_full/task_07172_length.png", "im_dots_path": "/images/task_07172_length.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 length of segment AB?", "image_answer": 11.40175425099138, "choices": null, "image_choices": null}
{"qid": 7173, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [5, -2], "B": [-8, 8]}, "answer": 16.401219466856727, "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": "Points A=(5, -2), B=(-8, 8). What is the length of segment AB?", "im_path": "/images_full/task_07173_length.png", "im_dots_path": "/images/task_07173_length.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 length of segment AB?", "image_answer": 16.401219466856727, "choices": null, "image_choices": null}
{"qid": 7174, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [3, 1], "B": [0, 4]}, "answer": 4.242640687119285, "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": "Points A=(3, 1), B=(0, 4). What is the length of segment AB?", "im_path": "/images_full/task_07174_length.png", "im_dots_path": "/images/task_07174_length.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 length of segment AB?", "image_answer": 4.242640687119285, "choices": null, "image_choices": null}
{"qid": 7175, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, 8], "B": [0, -2]}, "answer": 10.770329614269007, "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": "Points A=(4, 8), B=(0, -2). What is the length of segment AB?", "im_path": "/images_full/task_07175_length.png", "im_dots_path": "/images/task_07175_length.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 length of segment AB?", "image_answer": 10.770329614269007, "choices": null, "image_choices": null}
{"qid": 7176, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-3, -1], "B": [3, -8]}, "answer": 9.219544457292887, "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": "Points A=(-3, -1), B=(3, -8). What is the length of segment AB?", "im_path": "/images_full/task_07176_length.png", "im_dots_path": "/images/task_07176_length.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 length of segment AB?", "image_answer": 9.219544457292887, "choices": null, "image_choices": null}
{"qid": 7177, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [10, 0], "B": [6, -4]}, "answer": 5.656854249492381, "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": "Points A=(10, 0), B=(6, -4). What is the length of segment AB?", "im_path": "/images_full/task_07177_length.png", "im_dots_path": "/images/task_07177_length.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 length of segment AB?", "image_answer": 5.656854249492381, "choices": null, "image_choices": null}
{"qid": 7178, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-7, 10], "B": [-10, 1]}, "answer": 9.486832980505138, "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": "Points A=(-7, 10), B=(-10, 1). What is the length of segment AB?", "im_path": "/images_full/task_07178_length.png", "im_dots_path": "/images/task_07178_length.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 length of segment AB?", "image_answer": 9.486832980505138, "choices": null, "image_choices": null}
{"qid": 7179, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [0, 5], "B": [-6, -7]}, "answer": 13.416407864998739, "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": "Points A=(0, 5), B=(-6, -7). What is the length of segment AB?", "im_path": "/images_full/task_07179_length.png", "im_dots_path": "/images/task_07179_length.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 length of segment AB?", "image_answer": 13.416407864998739, "choices": null, "image_choices": null}
{"qid": 7180, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [0, 8], "B": [-5, -2]}, "answer": 11.180339887498949, "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": "Points A=(0, 8), B=(-5, -2). What is the length of segment AB?", "im_path": "/images_full/task_07180_length.png", "im_dots_path": "/images/task_07180_length.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 length of segment AB?", "image_answer": 11.180339887498949, "choices": null, "image_choices": null}
{"qid": 7181, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -10], "B": [8, 7]}, "answer": 22.02271554554524, "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": "Points A=(-6, -10), B=(8, 7). What is the length of segment AB?", "im_path": "/images_full/task_07181_length.png", "im_dots_path": "/images/task_07181_length.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 length of segment AB?", "image_answer": 22.02271554554524, "choices": null, "image_choices": null}
{"qid": 7182, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [7, -10], "B": [-1, -8]}, "answer": 8.246211251235321, "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": "Points A=(7, -10), B=(-1, -8). What is the length of segment AB?", "im_path": "/images_full/task_07182_length.png", "im_dots_path": "/images/task_07182_length.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 length of segment AB?", "image_answer": 8.246211251235321, "choices": null, "image_choices": null}
{"qid": 7183, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [3, 10], "B": [-1, -8]}, "answer": 18.439088914585774, "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": "Points A=(3, 10), B=(-1, -8). What is the length of segment AB?", "im_path": "/images_full/task_07183_length.png", "im_dots_path": "/images/task_07183_length.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 length of segment AB?", "image_answer": 18.439088914585774, "choices": null, "image_choices": null}
{"qid": 7184, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, 8], "B": [1, -5]}, "answer": 13.341664064126334, "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": "Points A=(4, 8), B=(1, -5). What is the length of segment AB?", "im_path": "/images_full/task_07184_length.png", "im_dots_path": "/images/task_07184_length.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 length of segment AB?", "image_answer": 13.341664064126334, "choices": null, "image_choices": null}
{"qid": 7185, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-7, 6], "B": [9, 6]}, "answer": 16.0, "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": "Points A=(-7, 6), B=(9, 6). What is the length of segment AB?", "im_path": "/images_full/task_07185_length.png", "im_dots_path": "/images/task_07185_length.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 length of segment AB?", "image_answer": 16.0, "choices": null, "image_choices": null}
{"qid": 7186, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [7, -1], "B": [4, 1]}, "answer": 3.605551275463989, "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": "Points A=(7, -1), B=(4, 1). What is the length of segment AB?", "im_path": "/images_full/task_07186_length.png", "im_dots_path": "/images/task_07186_length.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 length of segment AB?", "image_answer": 3.605551275463989, "choices": null, "image_choices": null}
{"qid": 7187, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -6], "B": [-4, 3]}, "answer": 9.219544457292887, "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": "Points A=(-6, -6), B=(-4, 3). What is the length of segment AB?", "im_path": "/images_full/task_07187_length.png", "im_dots_path": "/images/task_07187_length.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 length of segment AB?", "image_answer": 9.219544457292887, "choices": null, "image_choices": null}
{"qid": 7188, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [7, -6], "B": [4, 2]}, "answer": 8.54400374531753, "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": "Points A=(7, -6), B=(4, 2). What is the length of segment AB?", "im_path": "/images_full/task_07188_length.png", "im_dots_path": "/images/task_07188_length.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 length of segment AB?", "image_answer": 8.54400374531753, "choices": null, "image_choices": null}
{"qid": 7189, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-1, 10], "B": [-10, -10]}, "answer": 21.93171219946131, "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": "Points A=(-1, 10), B=(-10, -10). What is the length of segment AB?", "im_path": "/images_full/task_07189_length.png", "im_dots_path": "/images/task_07189_length.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 length of segment AB?", "image_answer": 21.93171219946131, "choices": null, "image_choices": null}
{"qid": 7190, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, 3], "B": [9, 9]}, "answer": 15.231546211727817, "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": "Points A=(-5, 3), B=(9, 9). What is the length of segment AB?", "im_path": "/images_full/task_07190_length.png", "im_dots_path": "/images/task_07190_length.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 length of segment AB?", "image_answer": 15.231546211727817, "choices": null, "image_choices": null}
{"qid": 7191, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, 10], "B": [-9, 4]}, "answer": 6.0, "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": "Points A=(-9, 10), B=(-9, 4). What is the length of segment AB?", "im_path": "/images_full/task_07191_length.png", "im_dots_path": "/images/task_07191_length.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 length of segment AB?", "image_answer": 6.0, "choices": null, "image_choices": null}
{"qid": 7192, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-2, 1], "B": [4, 10]}, "answer": 10.816653826391969, "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": "Points A=(-2, 1), B=(4, 10). What is the length of segment AB?", "im_path": "/images_full/task_07192_length.png", "im_dots_path": "/images/task_07192_length.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 length of segment AB?", "image_answer": 10.816653826391969, "choices": null, "image_choices": null}
{"qid": 7193, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [8, -4], "B": [9, 3]}, "answer": 7.0710678118654755, "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": "Points A=(8, -4), B=(9, 3). What is the length of segment AB?", "im_path": "/images_full/task_07193_length.png", "im_dots_path": "/images/task_07193_length.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 length of segment AB?", "image_answer": 7.0710678118654755, "choices": null, "image_choices": null}
{"qid": 7194, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-1, -8], "B": [7, -9]}, "answer": 8.06225774829855, "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": "Points A=(-1, -8), B=(7, -9). What is the length of segment AB?", "im_path": "/images_full/task_07194_length.png", "im_dots_path": "/images/task_07194_length.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 length of segment AB?", "image_answer": 8.06225774829855, "choices": null, "image_choices": null}
{"qid": 7195, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-4, 4], "B": [9, 1]}, "answer": 13.341664064126334, "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": "Points A=(-4, 4), B=(9, 1). What is the length of segment AB?", "im_path": "/images_full/task_07195_length.png", "im_dots_path": "/images/task_07195_length.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 length of segment AB?", "image_answer": 13.341664064126334, "choices": null, "image_choices": null}
{"qid": 7196, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, 4], "B": [-3, 4]}, "answer": 3.0, "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": "Points A=(-6, 4), B=(-3, 4). What is the length of segment AB?", "im_path": "/images_full/task_07196_length.png", "im_dots_path": "/images/task_07196_length.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 length of segment AB?", "image_answer": 3.0, "choices": null, "image_choices": null}
{"qid": 7197, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [0, -7], "B": [3, 3]}, "answer": 10.44030650891055, "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": "Points A=(0, -7), B=(3, 3). What is the length of segment AB?", "im_path": "/images_full/task_07197_length.png", "im_dots_path": "/images/task_07197_length.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 length of segment AB?", "image_answer": 10.44030650891055, "choices": null, "image_choices": null}
{"qid": 7198, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [8, 8], "B": [10, -5]}, "answer": 13.152946437965905, "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": "Points A=(8, 8), B=(10, -5). What is the length of segment AB?", "im_path": "/images_full/task_07198_length.png", "im_dots_path": "/images/task_07198_length.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 length of segment AB?", "image_answer": 13.152946437965905, "choices": null, "image_choices": null}
{"qid": 7199, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, 5], "B": [-9, -3]}, "answer": 8.54400374531753, "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": "Points A=(-6, 5), B=(-9, -3). What is the length of segment AB?", "im_path": "/images_full/task_07199_length.png", "im_dots_path": "/images/task_07199_length.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 length of segment AB?", "image_answer": 8.54400374531753, "choices": null, "image_choices": null}