preprocessed_images listlengths 1 1 | problem stringlengths 1.13k 1.35k | answer stringlengths 1 34 | images listlengths 1 1 |
|---|---|---|---|
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... | 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 with your parsed numeric answer to check correctness before finalizing.
- Emit tool calls in the below format:
<tool_call>{"name": "calc_score", "arguments": {"answer": "<digits>"}}</tool_call>
Always include the <tool_call></tool_call> tag, and object within the tag must be JSON.
Right after emitting tool call (in the same message), you must always also include the answer in the form Answer: \boxed{$Answer} so the answer can be extracted.
3) Use the tool feedback to refine your solution if needed.
4) Provide the final answer in the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
<image>Find x. | 3 | [
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172... | You are a math/geometry expert. Solve the user's question carefully and verify your work.
Follow this protocol:
1) First, reason step by step as an internal monologue wrapped inside <think>...</think> tags.
2) After you finish the reasoning, you must call the `calc_score` (aka `calc_geo3k_reward`) tool at least once with your parsed numeric answer to check correctness before finalizing.
- Emit tool calls in the below format:
<tool_call>{"name": "calc_score", "arguments": {"answer": "<digits>"}}</tool_call>
Always include the <tool_call></tool_call> tag, and object within the tag must be JSON.
Right after emitting tool call (in the same message), you must always also include the answer in the form Answer: \boxed{$Answer} so the answer can be extracted.
3) Use the tool feedback to refine your solution if needed.
4) Provide the final answer in the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
<image>If $\overline{B E} \cong \overline{E D}$ and $m \widehat{E D}=120,$ find $m \widehat{B E}$ | 120 | [
"data:image/None;base64,iVBORw0KGgoAAAANSUhEUgAAAM8AAAC2CAYAAAB+rNlWAAAf8ElEQVR4nO2dCViU1f7HvzigQCoCEiKyyKKiEGoiFqhkLum1NM0Wb7Zd28y61U3r1u2mz63+ZXXNtvtUlpWllamVZbmUmnKvgooIiiAisoiAiCyyyPL+n987HJwZZmBmmOW8M+fzPD2Qgzjzvu/3/H7ne37nd1wkSZIgEAhMpofpf0UgEAjxCATdQEQegcBMhHgEAjMR4hEIzESIRyAwEyEegcBMhHgEAjMR4hEIzESIRyAwEyEe... |
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... | 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 with your parsed numeric answer to check correctness before finalizing.
- Emit tool calls in the below format:
<tool_call>{"name": "calc_score", "arguments": {"answer": "<digits>"}}</tool_call>
Always include the <tool_call></tool_call> tag, and object within the tag must be JSON.
Right after emitting tool call (in the same message), you must always also include the answer in the form Answer: \boxed{$Answer} so the answer can be extracted.
3) Use the tool feedback to refine your solution if needed.
4) Provide the final answer in the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
<image>Find x. | 2 \sqrt { 221 } | [
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... | You are a math/geometry expert. Solve the user's question carefully and verify your work.
Follow this protocol:
1) First, reason step by step as an internal monologue wrapped inside <think>...</think> tags.
2) After you finish the reasoning, you must call the `calc_score` (aka `calc_geo3k_reward`) tool at least once with your parsed numeric answer to check correctness before finalizing.
- Emit tool calls in the below format:
<tool_call>{"name": "calc_score", "arguments": {"answer": "<digits>"}}</tool_call>
Always include the <tool_call></tool_call> tag, and object within the tag must be JSON.
Right after emitting tool call (in the same message), you must always also include the answer in the form Answer: \boxed{$Answer} so the answer can be extracted.
3) Use the tool feedback to refine your solution if needed.
4) Provide the final answer in the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
<image>Find $x$ so that $m || n$. | 27 | [
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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 with your parsed numeric answer to check correctness before finalizing.
- Emit tool calls in the below format:
<tool_call>{"name": "calc_score", "arguments": {"answer": "<digits>"}}</tool_call>
Always include the <tool_call></tool_call> tag, and object within the tag must be JSON.
Right after emitting tool call (in the same message), you must always also include the answer in the form Answer: \boxed{$Answer} so the answer can be extracted.
3) Use the tool feedback to refine your solution if needed.
4) Provide the final answer in the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
Solve the following math problem step by step. The last line of your response should be of the form Answer: \boxed{$Answer} where $Answer is the answer to the problem.
<image>GRID IN In the figure, the radius of circle $A$ is twice the radius of circle $B$ and four times the radius of circle $C .$ If the sum of the circumferences of the three circles is $42 \pi,$ find the measure of $\overline{A C}$ | 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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