prompt stringlengths 1.48k 16.3k | response stringlengths 753 111k | teacher_responses stringlengths 980 363k | prompt_idx int64 0 16.7k | think_logps listlengths 179 31.5k | answer_logps listlengths 28 2.69k |
|---|---|---|---|---|---|
<|im_start|>system
Your role as an assistant involves reconstructing the internal reasoning process that connects a provided question to its correct answer. Your task is to methodically reverse-engineer the logical steps, demonstrating a full cycle of analysis, summarization, idea generation, verification, error correc... | Okay, let me try to figure out this problem. So, we have this operation defined as a⊗b = a²/b. And we need to compute [(1⊗2)⊗3] - [1⊗(2⊗3)]. Then choose the correct answer from the options given. Alright, let's break it down step by step.
First, I need to remember that the operation ⊗ is not associative, right? Becaus... | Alright, let's tackle this problem step by step. So, we have this operation defined as a⊗b = a²/b, and we need to find the value of [(1⊗2)⊗3] - [1⊗(2⊗3)]. The answer choices are given, so that might help later to check if our calculations are on the right track. Let me start by understanding the operation first.
First... | 0 | [
-3.048675537109375,
-0.000041960789531003684,
-0.16123716533184052,
-0.38692009449005127,
-0.34101229906082153,
-0.000011801649634435307,
-0.0003231241717003286,
-0.005298499949276447,
-3.576278118089249e-7,
-0.0000011920922133867862,
-2.3841855067985307e-7,
-1.755623459815979,
-0.0046796803... | [
-0.0000011920922133867862,
-3.576278118089249e-7,
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-2.3841855067985307e-7,
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-0.0016424274072051048,
-2.3841855067985307e-7,
... |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let me try to figure out this problem. So Doug has a square window made up of 8 equal-sized p(...TRUNCATED) | "Alright, let's try to figure out the side length of Doug's square window. So, the problem says he u(...TRUNCATED) | 1 | [-2.930072546005249,-0.00003969590397900902,-0.18152585625648499,-0.16032473742961884,-0.91059893369(...TRUNCATED) | [-7.033323527139146e-6,-1.1920928244535389e-7,0.0,-2.3841855067985307e-7,-2.145764938177308e-6,0.0,0(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let's see. I need to find the value of n given this polynomial P(x) of degree 3n that satisfi(...TRUNCATED) | "Alright, let's tackle this problem step by step. It's about a cubic polynomial \\( P(x) \\) of degr(...TRUNCATED) | 2 | [-2.1273281574249268,-0.00004935142715112306,-0.35172227025032043,-0.22549140453338623,-0.8175632357(...TRUNCATED) | [-1.1920922133867862e-6,-7.152555099310121e-7,0.0,-5.960462772236497e-7,-4.768360213347478e-6,0.0,-1(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let's try to figure out this problem step by step. The function is given as f(x) = a x² - (...TRUNCATED) | "Alright, let's tackle this problem step by step. So, we have the function f(x) = a x² - √2, and (...TRUNCATED) | 3 | [-2.579087734222412,-0.00004768258077092469,-0.1611219048500061,-0.20144715905189514,-0.624116122722(...TRUNCATED) | [-1.7881377516459906e-6,-8.344646857949556e-7,0.0,0.0,-9.536738616588991e-7,0.0,-1.1920928244535389e(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let's try to figure out this problem step by step. So, the question is about comparing the to(...TRUNCATED) | "Okay, let's tackle this problem step by step. So, the question is about comparing the total cost of(...TRUNCATED) | 4 | [-0.03006083145737648,-0.000023364747903542593,-0.3134635388851166,-0.31329232454299927,-1.552381634(...TRUNCATED) | [-3.576278118089249e-7,-2.3841855067985307e-7,0.0,0.0,-2.3841855067985307e-7,0.0,0.0,0.0,0.0,0.0,0.0(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let's try to tackle this geometry problem step by step. First, I need to visualize the setup.(...TRUNCATED) | "Alright, let's tackle this geometry problem step by step. First, I need to visualize the setup. The(...TRUNCATED) | 5 | [-2.5793378353118896,-0.000034689302992774174,-0.18204708397388458,-0.3869612216949463,-0.9156492948(...TRUNCATED) | [-8.344646857949556e-7,-1.1920928244535389e-7,0.0,0.0,-1.4305104514278355e-6,0.0,-1.1920928244535389(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let's see. The problem is about Judy's hits during the softball season. She had a total of 35(...TRUNCATED) | "Okay, let's tackle this problem step by step. So, Judy had 35 hits during the softball season. Amon(...TRUNCATED) | 6 | [-0.007698036264628172,-0.000024437606043647975,-0.20155395567417145,-0.2014216184616089,-2.44169330(...TRUNCATED) | [-3.576278118089249e-7,-2.3841855067985307e-7,0.0,-4.768370445162873e-7,-1.311301275563892e-6,0.0,0.(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let's tackle this problem step by step. So, the question is about rotating the graph of y = l(...TRUNCATED) | "Alright, let's tackle this problem step by step. So, we have the graph of y = log₁₀x, and it's (...TRUNCATED) | 7 | [-2.464293956756592,-0.00008582700684200972,-0.3154574930667877,-0.2254759967327118,-0.3536907434463(...TRUNCATED) | [-5.960462772236497e-7,-1.0728830375228426e-6,0.0,0.0,-8.344646857949556e-7,0.0,0.0,-1.1920928244535(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, so I need to figure out who ends up with the largest final answer among Jose, Thuy, and Karee(...TRUNCATED) | "Alright, let's tackle this problem step by step. So, we have three people—Jose, Thuy, and Kareem(...TRUNCATED) | 8 | [-3.530001163482666,-0.0000252720492426306,-0.06278924643993378,-0.2519739866256714,-0.5596982240676(...TRUNCATED) | [-2.3841855067985307e-7,-1.1920928244535389e-7,0.0,-7.152555099310121e-7,-7.152555099310121e-7,0.0,0(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let me try to figure out this problem. So, we have a set of consecutive positive integers sta(...TRUNCATED) | "Alright, let's tackle this problem step by step. So, we have a set of consecutive positive integers(...TRUNCATED) | 9 | [-2.695265531539917,-0.00002312633478140924,-0.20332586765289307,-0.17995557188987732,-0.67130887508(...TRUNCATED) | [-2.622600959512056e-6,-9.536738616588991e-7,0.0,-1.1920928244535389e-7,-3.576278118089249e-7,0.0,0.(...TRUNCATED) |
End of preview. Expand in Data Studio
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