prompt stringlengths 1.48k 16.3k | response stringlengths 753 111k | teacher_responses stringlengths 603 194k | prompt_idx int64 0 16.7k | think_logps listlengths 113 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's understand the operation. The tensor product here, ⊗, takes two non... | 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) | [-5.960462772236497e-7,-1.4305104514278355e-6,0.0,0.0,-3.3378546504536644e-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. 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 satisfi(...TRUNCATED) | 2 | [-0.12732812762260437,-0.00002288792165927589,-0.7581201195716858,-1.8047798871994019,-0.00229750201(...TRUNCATED) | [-0.0001280225842492655,-2.3841855067985307e-7,-3.576278118089249e-7,-0.000025152843591058627,-0.000(...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 see. I need to find the value of 'a' such that when we apply the function f twice to th(...TRUNCATED) | 3 | [-0.07908769696950912,-0.000027894584491150454,-0.38700801134109497,-0.22543375194072723,-0.82871162(...TRUNCATED) | [-1.1920922133867862e-6,0.0,0.0,0.0,-7.152555099310121e-7,0.0,0.0,-2.3841855067985307e-7,0.0,0.0,0.0(...TRUNCATED) |
"<|im_start|>system\nYour role as an assistant involves reconstructing the internal reasoning proces(...TRUNCATED) | "Okay, let's try to figure out this problem step by step. So, the question is about comparing the to(...TRUNCATED) | "Okay, let's see. So the problem is about comparing the total cost of buying an appliance in-store v(...TRUNCATED) | 4 | [-0.03006083145737648,-0.000023364747903542593,-0.3134635388851166,-0.31329232454299927,-0.552381634(...TRUNCATED) | [-5.960462772236497e-7,-3.576278118089249e-7,0.0,0.0,-1.1920928244535389e-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) | "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) | [-3.6954811548639555e-6,-0.0000252720492426306,0.0,-1.1920928244535389e-7,-1.9073468138230965e-6,0.0(...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 see. The problem is about figuring out what percent of Judy's hits were singles during (...TRUNCATED) | 6 | [-0.007698036264628172,-0.000024437606043647975,-0.20155395567417145,-0.2014216184616089,-0.19169320(...TRUNCATED) | [0.0,-6.6756979322235566e-6,0.0,-1.311301275563892e-6,-7.152555099310121e-7,0.0,0.0,-1.1920928244535(...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) | [-2.3841855067985307e-7,0.0,0.0,-2.3841855067985307e-7,-4.768370445162873e-7,0.0,0.0,-1.192092824453(...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 see. The problem is about Jose, Thuy, and Kareem each starting with the number 10 and p(...TRUNCATED) | 8 | [-0.030001254752278328,-0.00003099393507000059,-0.17984434962272644,-0.2254335582256317,-0.566813111(...TRUNCATED) | [-5.960462772236497e-7,-3.576278118089249e-7,0.0,0.0,-5.960462772236497e-7,0.0,0.0,-2.38418550679853(...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 me try to figure out this problem. So, we have a set of consecutive positive integers sta(...TRUNCATED) | 9 | [-0.07026564329862595,-0.000015258672647178173,-0.3486752510070801,-1.8048397302627563,-0.0022368428(...TRUNCATED) | [-2.861018856492592e-6,-9.536738616588991e-7,0.0,0.0,-1.0728830375228426e-6,0.0,0.0,0.0,0.0,0.0,0.0,(...TRUNCATED) |
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