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[ { "bytes": [ 137, 80, 78, 71, 13, 10, 26, 10, 0, 0, 0, 13, 73, 72, 68, 82, 0, 0, 0, 250, 0, 0, 1, 2, 8, 6, 0, 0, 0, 215, 90, ...
You are a math/geometry expert. Solve the user's question carefully and verify your work. Follow this protocol: 1) First, reason step by step as an internal monologue wrapped inside <think>...</think> tags. 2) After you finish the reasoning, you must call the `calc_score` (aka `calc_geo3k_reward`) tool at least once w...
3
[ "data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAAECCAYAAADXWsr9AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNwMvAxcCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsobSDM7jnPHqnzpEXkd/omY2pHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4...
[ { "bytes": [ 137, 80, 78, 71, 13, 10, 26, 10, 0, 0, 0, 13, 73, 72, 68, 82, 0, 0, 0, 207, 0, 0, 0, 182, 8, 6, 0, 0, 0, 126, 172...
You are a math/geometry expert. Solve the user's question carefully and verify your work. Follow this protocol: 1) First, reason step by step as an internal monologue wrapped inside <think>...</think> tags. 2) After you finish the reasoning, you must call the `calc_score` (aka `calc_geo3k_reward`) tool at least once w...
120
[ "data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAM8AAAC2CAYAAAB+rNlWAAAf8ElEQVR4nO2dCViU1f7HvzigQCoCEiKyyKKiEGoiFqhkLum1NM0Wb7Zd28y61U3r1u2mz63+ZXXNtvtUlpWllamVZbmUmnKvgooIiiAisoiAiCyyyPL+n987HJwZZmBmmOW8M+fzPD2Qgzjzvu/3/H7ne37nd1wkSZIgEAhMpofpf0UgEAjxCATdQEQegcBMhHgEAjMR4hEIzESIRyAwEyEegcBMhHgEAjMR4hEIzESIRyAwEyEe...
[ { "bytes": [ 137, 80, 78, 71, 13, 10, 26, 10, 0, 0, 0, 13, 73, 72, 68, 82, 0, 0, 1, 7, 0, 0, 1, 24, 8, 6, 0, 0, 0, 81, 43, ...
You are a math/geometry expert. Solve the user's question carefully and verify your work. Follow this protocol: 1) First, reason step by step as an internal monologue wrapped inside <think>...</think> tags. 2) After you finish the reasoning, you must call the `calc_score` (aka `calc_geo3k_reward`) tool at least once w...
2 \sqrt { 221 }
[ "data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAQcAAAEYCAYAAABRKzPpAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwM+gz6CZmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgszeshTVf+lEYatV4+MlVg9wlM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXH...
[ { "bytes": [ 137, 80, 78, 71, 13, 10, 26, 10, 0, 0, 0, 13, 73, 72, 68, 82, 0, 0, 1, 97, 0, 0, 1, 54, 8, 6, 0, 0, 0, 176, 116, ...
You are a math/geometry expert. Solve the user's question carefully and verify your work. Follow this protocol: 1) First, reason step by step as an internal monologue wrapped inside <think>...</think> tags. 2) After you finish the reasoning, you must call the `calc_score` (aka `calc_geo3k_reward`) tool at least once w...
27
[ "data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAWEAAAE2CAYAAACwdCOYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXH...
[ { "bytes": [ 137, 80, 78, 71, 13, 10, 26, 10, 0, 0, 0, 13, 73, 72, 68, 82, 0, 0, 1, 172, 0, 0, 0, 254, 8, 6, 0, 0, 0, 102, 249...
You are a math/geometry expert. Solve the user's question carefully and verify your work. Follow this protocol: 1) First, reason step by step as an internal monologue wrapped inside <think>...</think> tags. 2) After you finish the reasoning, you must call the `calc_score` (aka `calc_geo3k_reward`) tool at least once w...
27
[ "data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAawAAAD+CAYAAABm+THkAAAvPklEQVR4nO2dCVhVdf7/P6X9Jh3KUHMpXBq3yEyjQUcwtYl03MatcfcvM2mav0xcslSqaQTbRHEs1Edr8KemOLll5U+z1BKYYiKJ1BE1UTGtXMYibX5K9/+8D36PB7heEO69Z3u/noeHI1645557z/f9/ezXeTwejxBCCCEW53qzT4AQQgipCBQsQgghtoCCRQghxBZQsAghhNgCChYhhBBbQMEihBBiCyhYhBBCbAEFixBCiC2g...
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAAAh8AAAD6CAYAAAABSyXJAABsX0lEQVR4nO29B1TbeZbn+xUCJJQQSSCyMQaDsY1xz(...TRUNCATED)
"You are a math/geometry expert. Solve the user's question carefully and verify your work.\n\nFollow(...TRUNCATED)
34
["data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAh8AAAD6CAYAAAABSyXJAABsX0lEQVR4nO29B1TbeZbn+xUCJJQ(...TRUNCATED)
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAAAUMAAAEZCAYAAAANJkeWAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhY(...TRUNCATED)
"You are a math/geometry expert. Solve the user's question carefully and verify your work.\n\nFollow(...TRUNCATED)
374.1
["data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAUMAAAEZCAYAAAANJkeWAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJx(...TRUNCATED)
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAAAWIAAADFCAYAAABuMviYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhY(...TRUNCATED)
"You are a math/geometry expert. Solve the user's question carefully and verify your work.\n\nFollow(...TRUNCATED)
420
["data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAWIAAADFCAYAAABuMviYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJx(...TRUNCATED)
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAAAd0AAADSCAYAAAAPHBoPAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhY(...TRUNCATED)
"You are a math/geometry expert. Solve the user's question carefully and verify your work.\n\nFollow(...TRUNCATED)
108.5
["data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAd0AAADSCAYAAAAPHBoPAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJx(...TRUNCATED)
[{"bytes":"iVBORw0KGgoAAAANSUhEUgAAAgkAAAG+CAYAAAAZRZeoAACkjUlEQVR4nOydBXjb59XFj1iyZGZmh5m5STFpU9wK6(...TRUNCATED)
"You are a math/geometry expert. Solve the user's question carefully and verify your work.\n\nFollow(...TRUNCATED)
12 \pi
["data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAgkAAAG+CAYAAAAZRZeoAACkjUlEQVR4nOydBXjb59XFj1iyZGZ(...TRUNCATED)
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