prompt stringlengths 1.48k 16.3k | response stringlengths 753 111k | teacher_responses stringlengths 717 322k | prompt_idx int64 0 16.7k | think_logps listlengths 138 31.6k | 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, so I need to solve this problem where they define a special operation called ⊗. The operation is defined for all nonzero numbers a and b as a⊗b = a²/b. Then I have to compute [(1⊗2)⊗3] - [1⊗(2⊗3)] and choose the correct answer from the given options. Let me start by understanding the operation step by step.
Firs... | 0 | [
-0.04867544397711754,
-0.0000247952248173533,
-1.1370385885238647,
-0.0013642538106068969,
-0.10074694454669952,
-1.1920928244535389e-7,
-0.08008851855993271,
-0.0002833203470800072,
-0.0049263290129601955,
-0.07194714993238449,
-1.4281399250030518,
-0.30232879519462585,
-2.4978342056274414,... | [
-0.0000011920922133867862,
-0.0000010728830375228426,
0,
-1.1920928244535389e-7,
-9.536738616588991e-7,
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0,
-1.1461825370788574,
-1.6004140377044678,
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-0.0023768290411680937,
0,
-0.029294395819306374,
-0.0021015957463532686,
... |
"<|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) | [-1.1920928244535389e-7,0.0,0.0,0.0,-1.0728830375228426e-6,0.0,0.0,-2.3841855067985307e-7,0.0,0.0,-1(...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, so I need to find the value of n given this polynomial P(x) of degree 3n that satisfies vario(...TRUNCATED) | 2 | [-0.12732812762260437,-0.00002288792165927589,-0.6331201195716858,-0.002386699663475156,-0.430834472(...TRUNCATED) | [-0.000014781842764932662,-1.1920928244535389e-7,0.0,-1.5497195136049413e-6,-2.7418097943154862e-6,0(...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. The function is given as f(x) = a x² - (...TRUNCATED) | "Okay, so I need to find the value of 'a' such that when I apply the function f twice to the square (...TRUNCATED) | 3 | [-0.07908769696950912,-0.000027894584491150454,-1.1370079517364502,-0.004148212261497974,-0.31418490(...TRUNCATED) | [-1.1920922133867862e-6,-3.576278118089249e-7,0.0,-1.1920928244535389e-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's try to figure out this problem step by step. So, the question is about comparing the to(...TRUNCATED) | "Okay, let's try to figure out this problem step by step. So, the question is about comparing the to(...TRUNCATED) | 4 | [-0.03006083145737648,-0.000023364747903542593,-0.3134635388851166,-0.31329232454299927,-1.552381634(...TRUNCATED) | [-4.768370445162873e-7,0.0,0.0,0.0,-1.1920928244535389e-7,0.0,0.0,-1.1920928244535389e-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 tackle this geometry problem step by step. First, I need to visualize the setup.(...TRUNCATED) | "Okay, so I need to solve this geometry problem. Let me read it again carefully.\n\nPoints A, B, C, (...TRUNCATED) | 5 | [-0.07933791726827621,-0.000027656173188006505,-1.1372584104537964,-0.04429971054196358,-0.161528617(...TRUNCATED) | [-2.3841855067985307e-7,-1.1920928244535389e-7,0.0,0.0,-4.768370445162873e-7,0.0,0.0,-2.384185506798(...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 Judy's hits during the softball season. She had a total of 35(...TRUNCATED) | 6 | [-0.007698036264628172,-0.000024437606043647975,-0.20155395567417145,-0.2014216184616089,-0.19169320(...TRUNCATED) | [0.0,-2.7418097943154862e-6,0.0,-5.960462772236497e-7,-4.768370445162873e-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) | [-1.1920928244535389e-7,0.0,0.0,0.0,-5.960462772236497e-7,0.0,0.0,-1.1920928244535389e-7,0.0,0.0,0.0(...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 try to figure out this problem step by step. So, Jose, Thuy, and Kareem each start with(...TRUNCATED) | 8 | [-0.030001254752278328,-0.00003099393507000059,-0.17984434962272644,-0.2254335582256317,-1.316813111(...TRUNCATED) | [-2.3841855067985307e-7,-2.3841855067985307e-7,0.0,-4.768370445162873e-7,-8.344646857949556e-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) | "Okay, so the problem is about a set of consecutive positive integers starting from 1, and one numbe(...TRUNCATED) | 9 | [-0.07026564329862595,-0.000015258672647178173,-1.22367525100708,-3.2821547985076904,-0.000263417838(...TRUNCATED) | [-2.3841855067985307e-7,-0.00001645074735279195,0.0,0.0,-1.311301275563892e-6,0.0,-1.192092824453538(...TRUNCATED) |
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