You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


4.
10
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222
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158
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28
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12
What is the remainder when 7012 is divided by 21?
19
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5
What is the remainder when 649 is divided by 50?
49
What is the remainder when 409 is divided by 196?
17
What is the remainder when 837 is divided by 8?
5
Calculate the remainder when 1652 is divided by 445.
317
What is the remainder when 111 is divided by 74?
37
What is the remainder when 136 is divided by 66?
4
What is the remainder when 447 is divided by 93?
75
Calculate the remainder when 1572 is divided by 295.
97
What is the remainder when 237 is divided by 36?
21
What is the remainder when 51 is divided by 14?
9
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49
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7
Calculate the remainder when 340 is divided by 8.
4
Calculate the remainder when 485 is divided by 84.
65
What is the remainder when 530 is divided by 139?
113
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27
What is the remainder when 4908 is divided by 117?
111
What is the remainder when 109 is divided by 104?
5
What is the remainder when 167 is divided by 78?
11
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3
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30
What is the remainder when 1663 is divided by 45?
43
What is the remainder when 67 is divided by 17?
16
What is the remainder when 333 is divided by 87?
72
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1
What is the remainder when 527 is divided by 23?
21
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4
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5
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13
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38
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44
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19
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6
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168
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7
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34
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55
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34
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9
What is the remainder when 871 is divided by 109?
108
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2
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164
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12
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0
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9
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7
Calculate the remainder when 2487 is divided by 166.
163
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36
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30
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12
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15
What is the remainder when 679 is divided by 85?
84
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25
What is the remainder when 207 is divided by 21?
18
What is the remainder when 516 is divided by 8?
4
Calculate the remainder when 1527 is divided by 191.
190
What is the remainder when 384 is divided by 114?
42
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25
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8
What is the remainder when 62 is divided by 21?
20
What is the remainder when 239 is divided by 20?
19
What is the remainder when 581 is divided by 11?
9
Calculate the remainder when 133 is divided by 32.
5
What is the remainder when 83 is divided by 44?
39
What is the remainder when 304 is divided by 102?
100
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26
What is the remainder when 693 is divided by 346?
1
What is the remainder when 304 is divided by 292?
12
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11
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38
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48
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0
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6
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1
What is the remainder when 181 is divided by 46?
43
Calculate the remainder when 885 is divided by 645.
240
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149
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60
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50
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15
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38
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14
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5
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9
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8
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16
What is the remainder when 52811 is divided by 324?
323
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1
Calculate the remainder when 631 is divided by 168.
127
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35
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8
What is the remainder when 100 is divided by 23?
8
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27
What is the remainder when 1271 is divided by 17?
13
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49
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0
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12
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8
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10
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53
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21
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9
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37
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13
What is the remainder when 236 is divided by 34?
32
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2
What is the remainder when 348 is divided by 128?
92
What is the remainder when 3585 is divided by 124?
113
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11
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16
What is the remainder when 615 is divided by 22?
21
What is the remainder when 285 is divided by 97?
91
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4
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4
What is the remainder when 487 is divided by 316?
171
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31
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7
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23
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53
What is the remainder when 2255 is divided by 47?
46
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13
Calculate the remainder when 195 is divided by 38.
5
What is the remainder when 4553 is divided by 207?
206
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19
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3
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137
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45
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0
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0
What is the remainder when 37 is divided by 21?
16
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7
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9
Calculate the remainder when 2452 is divided by 249.
211
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15
What is the remainder when 1447 is divided by 29?
26
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31
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20
Calculate the remainder when 883 is divided by 56.
43
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37
What is the remainder when 75 is divided by 44?
31
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23
Calculate the remainder when 927 is divided by 133.
129
What is the remainder when 392 is divided by 117?
41
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19
What is the remainder when 76 is divided by 42?
34
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33
What is the remainder when 582 is divided by 73?
71
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77
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