prompt stringlengths 1.48k 16.3k | response stringlengths 753 111k | teacher_responses stringlengths 946 188k | prompt_idx int64 0 16.7k | think_logps listlengths 241 31.5k | answer_logps listlengths 28 2.69k |
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<|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... | 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, let me make sure I understand the operation. The tensor product (⊗) of tw... | 0 | [
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... |
"<|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) | "Okay, so Doug is building this square window with 8 equal-sized panes of glass. Each pane has a hei(...TRUNCATED) | 1 | [-0.05507265403866768,-0.000021219027985353023,-1.2236615419387817,-0.6195706725120544,-1.9573453664(...TRUNCATED) | [-1.4305104514278355e-6,-1.1920928244535389e-7,0.0,0.0,-2.9802276912960224e-6,0.0,-1.192092824453538(...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) | "Okay, let me try to figure out this problem. So, we have a polynomial P(x) of degree 3n that satisf(...TRUNCATED) | 2 | [-0.12732812762260437,-0.00002288792165927589,-0.7581201195716858,-1.8047798871994019,-0.00229750201(...TRUNCATED) | [-1.0728830375228426e-6,-2.264974000354414e-6,0.0,-3.576278118089249e-7,-5.722029527532868e-6,0.0,-2(...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) | "Okay, let's tackle this problem step by step. So, the function is defined as f(x) = a x² - √2, a(...TRUNCATED) | 3 | [-0.07908769696950912,-0.000027894584491150454,-0.38700801134109497,-0.22543375194072723,-2.07871150(...TRUNCATED) | [-4.768370445162873e-7,-2.3841855067985307e-7,0.0,0.0,-1.7881377516459906e-6,0.0,0.0,-3.576278118089(...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) | [-4.768370445162873e-7,-1.1920928244535389e-7,0.0,-1.1920928244535389e-7,-2.3841855067985307e-7,0.0,(...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) | "Okay, let's try to tackle this geometry problem step by step. First, I need to visualize the setup.(...TRUNCATED) | 5 | [-0.07933791726827621,-0.000027656173188006505,-0.3872584402561188,-0.3869107663631439,-0.3539535999(...TRUNCATED) | [-4.768370445162873e-7,-4.768370445162873e-7,0.0,0.0,-1.1920928244535389e-7,0.0,0.0,-2.3841855067985(...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, the question is about figuring out what percentag(...TRUNCATED) | 6 | [-0.007698036264628172,-0.000024437606043647975,-0.20155395567417145,-0.2014216184616089,-2.44169330(...TRUNCATED) | [-2.3841855067985307e-7,-1.1920928244535389e-7,0.0,-1.1920928244535389e-7,-5.960462772236497e-7,0.0,(...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) | "Okay, so I need to figure out the equation of the graph G' after rotating the graph G of y = log₁(...TRUNCATED) | 7 | [-0.08929406851530075,-0.000036477376852417365,-0.6328859925270081,-0.027537813410162926,-0.18091344(...TRUNCATED) | [-4.768370445162873e-7,-4.768370445162873e-7,0.0,-2.3841855067985307e-7,-8.34461570775602e-6,0.0,-1.(...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) | "Okay, let's tackle this problem step by step. So, we have three friends—Jose, Thuy, and Kareem—(...TRUNCATED) | 8 | [-0.030001254752278328,-0.00003099393507000059,-0.17984434962272644,-0.2254335582256317,-1.816813111(...TRUNCATED) | [-2.3841855067985307e-7,0.0,0.0,-1.1920928244535389e-7,-5.960462772236497e-7,0.0,0.0,-1.192092824453(...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) | "Okay, let's tackle this problem step by step. So, we have a set of consecutive positive integers st(...TRUNCATED) | 9 | [-0.07026564329862595,-0.000015258672647178173,-0.3486752510070801,-0.17983976006507874,-1.921099662(...TRUNCATED) | [-1.5497195136049413e-6,-2.3841855067985307e-7,0.0,-1.1920928244535389e-7,-8.344646857949556e-7,0.0,(...TRUNCATED) |
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