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00002979039c24c3fca765bb2723f7f4572f6a042e4b3d39d9aa0ae55da07e1e
矩形的两个相邻边的中点分别是点 \( A \) 和点 \( B \),矩形的尺寸为 \( 6 \) 单位和 \( 8 \) 单位。如果通过连接点 \( A \)、点 \( B \) 和矩形的对角顶点形成一个三角形,矩形内部的阴影部分占多大比例?请将答案表示为常见分数。
\dfrac{3}{8}
Ring-lite-sft
midtrain
chinese
{}
{}
{"candidates":[],"contamination_source_id":null,"contamination_source_set":null,"embedding_model":"Qwen3-Embedding-4B","llm_judge_model":"gpt-oss-20b","similarity_threshold":null,"status":"clean","top_k":20}
{}
[{"created_at":"2026-03-19T03:24:16.635322+00:00","details":{"normalize_punctuation":true,"normalized":true},"processor":"text_normalize","reason_code":"","stage":"clean","status":"kept"},{"created_at":"2026-03-19T03:24:16.635474+00:00","details":{"wrapper_stripped":false},"processor":"instruction_wrapper_cleaner","rea...
000094ceebaef4eed9387b375c94e9c9d454759588967e815ec0d5e7c89313ed
Consider the function \( g(x, y, z) = x^2 + y^2 + z^2 + xyz \). Suppose there exist polynomials \( a(x, y, z), b(x, y, z), c(x, y, z) \) with real coefficients such that \( g(a(x, y, z), b(x, y, z), c(x, y, z)) = g(x, y, z) \) for all \( x, y, z \). Determine whether the set \( \{a, b, c\} \) must always be a permutati...
False
Ring-lite-sft
midtrain
boolean_and_mcq
{}
{}
{"candidates":[],"contamination_source_id":null,"contamination_source_set":null,"embedding_model":"Qwen3-Embedding-4B","llm_judge_model":"gpt-oss-20b","similarity_threshold":null,"status":"clean","top_k":20}
{}
[{"created_at":"2026-03-19T03:24:16.661320+00:00","details":{"normalize_punctuation":true,"normalized":false},"processor":"text_normalize","reason_code":"","stage":"clean","status":"kept"},{"created_at":"2026-03-19T03:24:16.661740+00:00","details":{"wrapper_stripped":false},"processor":"instruction_wrapper_cleaner","re...
0000f5c88d8793cfe1246a76405f606ad19607b093136f47769a14c73ad24b7e
"Let \\(ABC\\) be a triangle, and construct three squares externally on the sides of \\(ABC\\): \\(C(...TRUNCATED)
2K
OpenMathReasoning
midtrain
answer_mismatch
"{\"fallback_model\":null,\"llm_judge_attempts\":1,\"llm_judge_equivalence\":\"not_equivalent\",\"ll(...TRUNCATED)
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:17:04.608652+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
000282b6764b4fb873a0522483c5420ebdc55bb4586c659336c1e01a381af942
"Megan decides to buy several albums for her music collection. She adds 8 albums to her online shopp(...TRUNCATED)
\$84.45
MiroMind-m1-62k
midtrain
gt_unclear
"{\"fallback_model\":null,\"llm_judge_attempts\":1,\"llm_judge_equivalence\":\"not_applicable\",\"ll(...TRUNCATED)
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:16:07.268097+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
00035f522b9bf9fc7e2dc1ce83b97ede219b8d9e3effcb9b5d159d809346dd09
"Mackenzie baked 240 cupcakes for her niece's birthday party. She and her sister ate 48, and the res(...TRUNCATED)
dolphin-r1
midtrain
empty_ground_truth
{}
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:24:16.759733+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
00039acc911d1bdc903db3ed2b32a884d59f5bcfab4964fda7c0ba2806db1636
"(without quotes) where $Answer is the answer to the problem.\nA neutrino is produced as a flavor ei(...TRUNCATED)
4.35 \times 10^{-5}
Ring-lite-sft
midtrain
boolean_and_mcq
{}
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:24:16.786142+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
0003f5d90ab9373d46a3694e8786b1f26f5016a8a7d007b027eed56eba51639a
"Sara brought 18 cupcakes to share in class. Emma brought 3 fewer cupcakes than Sara. Olivia brought(...TRUNCATED)
55
Llama-Nemotron-Post-Training-math-math_v1
midtrain
gt_unclear
"{\"fallback_model\":null,\"llm_judge_attempts\":1,\"llm_judge_equivalence\":\"not_applicable\",\"ll(...TRUNCATED)
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:17:05.188586+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
0003f68c4205e8a254870c260156387a5fac502d31723d450a308de289de742a
"How many possibilities are there for a subset \\( S \\subseteq \\{1,2, \\ldots, N\\} \\) having \\((...TRUNCATED)
\(\binom{K_1}{r_1}\binom{K_2}{r_2}\)
Nemotron-Math-v2
midtrain
answer_mismatch
"{\"fallback_model\":null,\"llm_judge_attempts\":1,\"llm_judge_equivalence\":\"not_equivalent\",\"ll(...TRUNCATED)
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:17:05.190102+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
0004615c910418d39e78006494bb96eb88f4c6a93e5ce407371f54a3758115e5
"Suppose you have a 14-gon, with vertices numbered 1 through 14 in counterclockwise order. Draw the (...TRUNCATED)
3
Dolci-Think-RL-7B
midtrain
answer_mismatch
"{\"fallback_model\":null,\"llm_judge_attempts\":1,\"llm_judge_equivalence\":\"not_equivalent\",\"ll(...TRUNCATED)
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:16:07.292400+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
0004dbfd7a6f3ee0a43b8f58deffbfdbe22d2b46d3d094e4cbaa34c1163cd3e2
"Consider a logic gate that operates on binary inputs \\(A\\) and \\(B\\), where \\(A\\) and \\(B\\)(...TRUNCATED)
2
Ring-lite-sft
midtrain
boolean_and_mcq
{}
{}
"{\"candidates\":[],\"contamination_source_id\":null,\"contamination_source_set\":null,\"embedding_m(...TRUNCATED)
{}
"[{\"created_at\":\"2026-03-19T03:24:16.866569+00:00\",\"details\":{\"normalize_punctuation\":true,\(...TRUNCATED)
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