data_source stringclasses 7
values | prompt listlengths 2 2 | target listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict | state_metadata dict | messages listlengths 3 3 | enable_thinking bool 1
class | sft_metadata dict |
|---|---|---|---|---|---|---|---|---|---|
olympiads | [
{
"content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ... | [
{
"content": "<think>\nOkay, so I need to find the value of c, which is x + y, where the six-digit number 1234xy is divisible by both 8 and 9. Hmm, let's remember the divisibility rules for 8 and 9. For a number to be divisible by 8, its last three digits must form a number that's divisible by 8. And for 9, the... | {
"ground_truth": "8",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {
"source_index": 27419,
"teacher_model": "deepseek-v4-flash",
"state_count": 2,
"states": [
{
"after": "U0038",
"after_unit_index": 38,
"content": "[Established Facts and Results]\n- The number is 1234xy, a six-digit number with x, y digits (0–9).\n- Divisibility by 8 requires the last th... | [
{
"role": "system",
"content": "You are a reasoning language model. Solve the user's problem rigorously and provide a clear final answer.\n\nReason through the problem normally. During reasoning, you must create at least one <state>...</state> checkpoint before giving the final answer. Create the first chec... | true | {
"state_count": 2,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
olympiads | [
{
"content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ... | [
{
"content": "<think>\nOkay, let's try to solve this problem step by step. The question is about finding the eccentricity of an ellipse given a certain geometric condition involving points A, B, F and a right angle at ABF. \n\nFirst, let me recall some basic properties of an ellipse. The standard equation of an... | {
"ground_truth": "\\frac{\\sqrt{5}-1}{2}",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {
"source_index": 3591,
"teacher_model": "deepseek-v4-flash",
"state_count": 4,
"states": [
{
"after": "U0018",
"after_unit_index": 18,
"content": "[Established Facts and Results]\n- Ellipse: \\(\\frac{x^2}{a^2}+\\frac{y^2}{b^2}=1\\), \\(a>b>0\\), major axis along x-axis.\n- Vertices: \\((... | [
{
"role": "system",
"content": "You are a reasoning language model. Solve the user's problem rigorously and provide a clear final answer.\n\nReason through the problem normally. During reasoning, you must create at least one <state>...</state> checkpoint before giving the final answer. Create the first chec... | true | {
"state_count": 4,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
olympiads | [
{
"content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ... | [
{
"content": "<think>\nOkay, let me try to work through this inequality step by step. The problem is:\n\n9.133 (|x + 2| - |x|) / sqrt(4 - x³) > 0\n\nFirst, I need to figure out for which values of x this inequality holds true. Let me break it down into parts. The left-hand side is a fraction multiplied by 9.133... | {
"ground_truth": "x\\in(-1;\\sqrt[3]{4})",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {
"source_index": 29325,
"teacher_model": "deepseek-v4-flash",
"state_count": 3,
"states": [
{
"after": "U0064",
"after_unit_index": 64,
"content": "[Established Facts and Results]\n- The problem is to solve the inequality: 9.133·(|x+2|−|x|)/√(4−x³) > 0.\n- Since 9.133 > 0, it does not aff... | [
{
"role": "system",
"content": "You are a reasoning language model. Solve the user's problem rigorously and provide a clear final answer.\n\nReason through the problem normally. During reasoning, you must create at least one <state>...</state> checkpoint before giving the final answer. Create the first chec... | true | {
"state_count": 3,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
olympiads | [
{
"content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ... | [
{
"content": "<think>\nOkay, so I have this equation to solve: 5 raised to the power of (x over (sqrt(x) + 2)) multiplied by 0.2 raised to the power of (4 over (sqrt(x) + 2)) equals 125 raised to the power of (x - 4) multiplied by 0.04 raised to the power of (x - 2). Hmm, that looks a bit complicated, but maybe... | {
"ground_truth": "9",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {
"source_index": 15918,
"teacher_model": "deepseek-v4-flash",
"state_count": 3,
"states": [
{
"after": "U0031",
"after_unit_index": 31,
"content": "[Established Facts and Results]\n- Original equation: \\(5^{\\frac{x}{\\sqrt{x}+2}} \\cdot 0.2^{\\frac{4}{\\sqrt{x}+2}} = 125^{x-4} \\cdot 0.... | [
{
"role": "system",
"content": "You are a reasoning language model. Solve the user's problem rigorously and provide a clear final answer.\n\nReason through the problem normally. During reasoning, you must create at least one <state>...</state> checkpoint before giving the final answer. Create the first chec... | true | {
"state_count": 3,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
olympiads | [
{
"content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ... | [
{
"content": "<think>\nOkay, so I need to figure out whether the function F(x) = f(x) - f(-x) is odd, even, both, or neither. Let me start by recalling what odd and even functions are. \n\nAn even function satisfies the condition F(-x) = F(x) for all x in its domain. On the other hand, an odd function satisfies... | {
"ground_truth": "A",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {
"source_index": 38942,
"teacher_model": "deepseek-v4-flash",
"state_count": 3,
"states": [
{
"after": "U0031",
"after_unit_index": 31,
"content": "[Established Facts and Results]\n- Definitions: even means F(-x)=F(x) for all x; odd means F(-x)=-F(x) for all x; a function both even and od... | [
{
"role": "system",
"content": "You are a reasoning language model. Solve the user's problem rigorously and provide a clear final answer.\n\nReason through the problem normally. During reasoning, you must create at least one <state>...</state> checkpoint before giving the final answer. Create the first chec... | true | {
"state_count": 3,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
olympiads | [
{
"content": "Your task is to follow a systematic, thorough reasoning process before providing the final solution. This involves analyzing, summarizing, exploring, reassessing, and refining your thought process through multiple iterations. Structure your response into two sections: Thought and Solution. In the ... | [
{
"content": "<think>\nOkay, let's see. I need to find the angle ∠CBA in this trapezoid ABCD where AB is parallel to CD. The given information is that AB is 3 times CD, and AB is also 3 times DA. Also, the angle at ADC is 120 degrees. Hmm, let me try to visualize this first.\n\nSo, trapezoid ABCD with AB parall... | {
"ground_truth": "30",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {
"source_index": 6599,
"teacher_model": "deepseek-v4-flash",
"state_count": 2,
"states": [
{
"after": "U0023",
"after_unit_index": 23,
"content": "[Established Facts and Results]\n- Trapezoid ABCD with AB ∥ CD; vertices ordered A, B, C, D.\n- AB = 3·CD and AB = 3·DA, hence CD = DA (both e... | [
{
"role": "system",
"content": "You are a reasoning language model. Solve the user's problem rigorously and provide a clear final answer.\n\nReason through the problem normally. During reasoning, you must create at least one <state>...</state> checkpoint before giving the final answer. Create the first chec... | true | {
"state_count": 2,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
amc_aime | [{"content":"Your task is to follow a systematic, thorough reasoning process before providing the fi(...TRUNCATED) | [{"content":"<think>\nOkay, so I have this geometry problem here. Let me read it again and try to vi(...TRUNCATED) | {
"ground_truth": "51",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {"source_index":11738,"teacher_model":"deepseek-v4-flash","state_count":2,"states":[{"after":"U0032"(...TRUNCATED) | [{"role":"system","content":"You are a reasoning language model. Solve the user's problem rigorously(...TRUNCATED) | true | {
"state_count": 2,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
aops_forum | [{"content":"Your task is to follow a systematic, thorough reasoning process before providing the fi(...TRUNCATED) | [{"content":"<think>\nOkay, so I have this problem about two intersecting circles with centers A and(...TRUNCATED) | {
"ground_truth": "\\frac{10\\pi - 12\\sqrt{3}}{9}",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {"source_index":31620,"teacher_model":"deepseek-v4-flash","state_count":5,"states":[{"after":"U0055"(...TRUNCATED) | [{"role":"system","content":"You are a reasoning language model. Solve the user's problem rigorously(...TRUNCATED) | true | {
"state_count": 5,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
olympiads | [{"content":"Your task is to follow a systematic, thorough reasoning process before providing the fi(...TRUNCATED) | [{"content":"<think>\nOkay, so I need to figure out how many ways the integers from -7 to 7 can be a(...TRUNCATED) | {
"ground_truth": "128",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {"source_index":6936,"teacher_model":"deepseek-v4-flash","state_count":2,"states":[{"after":"U0068",(...TRUNCATED) | [{"role":"system","content":"You are a reasoning language model. Solve the user's problem rigorously(...TRUNCATED) | true | {
"state_count": 2,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} | |
olympiads | [{"content":"Your task is to follow a systematic, thorough reasoning process before providing the fi(...TRUNCATED) | [{"content":"<think>\nOkay, so I need to find the volume of this quadrilateral pyramid SABCD. The ba(...TRUNCATED) | {
"ground_truth": "\\frac{160\\sqrt{3}}{3}",
"style": "rule"
} | {
"index": -1,
"split": "default"
} | {"source_index":2369,"teacher_model":"deepseek-v4-flash","state_count":3,"states":[{"after":"U0008",(...TRUNCATED) | [{"role":"system","content":"You are a reasoning language model. Solve the user's problem rigorously(...TRUNCATED) | true | {
"state_count": 3,
"system_prompt_file": "template/SFT_System_Prompt.txt"
} |
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