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]


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Is 425 a multiple of 17?
True
Does 27 divide 999?
True
Does 58 divide 232?
True
Is 61 a factor of 127?
False
Does 20 divide 37?
False
Is 377 a multiple of 24?
False
Does 14 divide 7137?
False
Is 3604 a multiple of 62?
False
Does 73 divide 365?
True
Does 16 divide 1963?
False
Is 60357 a multiple of 33?
True
Is 51188 a multiple of 191?
True
Is 481 a factor of 43454?
False
Is 22 a factor of 215?
False
Is 11 a factor of 15037?
True
Does 3 divide 1962?
True
Does 145 divide 16240?
True
Does 6 divide 1742?
False
Is 10 a factor of 13760?
True
Is 665 a multiple of 36?
False
Is 1008 a multiple of 82?
False
Is 13 a factor of 1716?
True
Is 61 a factor of 2196?
True
Does 37 divide 641?
False
Is 19 a factor of 342?
True
Does 2 divide 18?
True
Does 12 divide 3228?
True
Does 45 divide 1890?
True
Is 969 a multiple of 37?
False
Is 82445 a multiple of 150?
False
Is 50 a factor of 744?
False
Does 12 divide 12?
True
Is 41656 a multiple of 328?
True
Is 2473 a multiple of 56?
False
Is 18 a factor of 882?
True
Is 110 a factor of 41404?
False
Is 49 a factor of 784?
True
Is 8 a factor of 279?
False
Is 87989 a multiple of 75?
False
Is 13 a factor of 49047?
False
Is 2565 a multiple of 33?
False
Is 15 a factor of 30426?
False
Does 174 divide 28188?
True
Is 129 a factor of 9050?
False
Is 30 a factor of 3060?
True
Is 3890 a multiple of 10?
True
Is 17197 a multiple of 29?
True
Is 6061 a multiple of 46?
False
Does 25 divide 28056?
False
Is 41 a multiple of 14?
False
Does 87 divide 63684?
True
Is 30 a multiple of 6?
True
Is 14 a factor of 247119?
False
Is 6 a factor of 510?
True
Does 4 divide 129?
False
Is 46 a factor of 48944?
True
Does 193 divide 14475?
True
Is 15609 a multiple of 43?
True
Is 46 a factor of 3742?
False
Is 24 a factor of 22186?
False
Is 8 a factor of 2336?
True
Does 28 divide 699?
False
Is 3009 a multiple of 11?
False
Does 22 divide 35068?
True
Is 23534 a multiple of 14?
True
Is 75978 a multiple of 189?
True
Is 576 a multiple of 3?
True
Does 8 divide 9586?
False
Is 405 a multiple of 31?
False
Is 17 a factor of 697?
True
Is 18 a factor of 1008?
True
Does 159 divide 17013?
True
Is 3072 a multiple of 8?
True
Is 21736 a multiple of 14?
False
Is 206 a factor of 130398?
True
Does 23 divide 958?
False
Does 52 divide 46436?
True
Is 3535 a multiple of 44?
False
Is 12 a factor of 3346?
False
Is 19 a factor of 2620?
False
Is 40208 a multiple of 7?
True
Is 30 a factor of 2168?
False
Is 1440 a multiple of 10?
True
Is 18743 a multiple of 20?
False
Is 3056 a multiple of 16?
True
Is 583 a multiple of 11?
True
Is 16 a factor of 4266?
False
Is 140 a multiple of 2?
True
Is 4228 a multiple of 38?
False
Is 14 a factor of 48250?
False
Does 45 divide 1800?
True
Does 11 divide 39?
False
Does 14 divide 10626?
True
Does 41 divide 15908?
True
Does 10 divide 4190?
True
Does 50 divide 13371?
False
Is 22 a factor of 2392?
False
Does 23 divide 588?
False
Is 14 a factor of 1176?
True
Is 20363 a multiple of 20?
False
Is 38769 a multiple of 166?
False
Does 24 divide 96?
True
Does 75 divide 1107?
False
Does 7 divide 232?
False
Is 3 a factor of 741?
True
Is 15 a factor of 2908?
False
Is 10569 a multiple of 70?
False
Is 386 a multiple of 33?
False
Is 5069 a multiple of 37?
True
Does 12 divide 9864?
True
Is 1130 a multiple of 10?
True
Does 2 divide 152?
True
Is 21 a factor of 36692?
False
Is 21474 a multiple of 7?
False
Is 15495 a multiple of 182?
False
Is 9 a factor of 8983?
False
Is 45384 a multiple of 62?
True
Does 4 divide 4362?
False
Is 9080 a multiple of 40?
True
Is 1190 a multiple of 85?
True
Is 20 a factor of 167?
False
Is 35 a factor of 420?
True
Is 2061 a multiple of 16?
False
Is 1530 a multiple of 10?
True
Does 7 divide 18837?
True
Does 42 divide 5802?
False
Is 3 a factor of 2232?
True
Is 275 a factor of 65175?
True
Does 2 divide 1041?
False
Is 58222 a multiple of 86?
True
Does 136 divide 21896?
True
Is 20465 a multiple of 7?
False
Is 40548 a multiple of 124?
True
Does 52 divide 1248?
True
Does 4 divide 3784?
True
Is 2549 a multiple of 15?
False
Is 10429 a multiple of 23?
False
Does 63 divide 24066?
True
Does 47 divide 399?
False
Does 15 divide 9930?
True
Does 58 divide 406?
True
Is 12278 a multiple of 131?
False
Is 19119 a multiple of 178?
False
Is 900 a multiple of 6?
True
Does 23 divide 1081?
True
Is 123888 a multiple of 29?
True
Is 3 a factor of 188?
False
Is 7660 a multiple of 61?
False
Is 231 a factor of 19216?
False
Is 41 a factor of 21409?
False
Is 9 a factor of 1314?
True
Does 20 divide 2940?
True
Does 17 divide 1756?
False
Does 35 divide 6093?
False
Is 39520 a multiple of 76?
True
Does 227 divide 2544?
False
Does 6 divide 18002?
False
Does 11 divide 10685?
False
Does 50 divide 28811?
False
Is 4052 a multiple of 9?
False
Is 6 a factor of 5554?
False
Is 13 a factor of 8203?
True
Is 36 a factor of 972?
True
Is 4 a factor of 7230?
False
Is 41 a factor of 13946?
False
Is 53 a factor of 6425?
False
Is 696 a multiple of 8?
True
Is 25 a factor of 9378?
False
Does 16 divide 1120?
True
Does 95 divide 803?
False
Does 8 divide 21876?
False
Is 3 a factor of 251?
False
Is 12111 a multiple of 7?
False
Is 849 a multiple of 8?
False
Does 10 divide 790?
True
Is 16182 a multiple of 18?
True
Is 35 a factor of 4245?
False
Is 11 a factor of 5126?
True
Does 4 divide 264?
True
Is 46 a factor of 840?
False
Is 5 a factor of 8580?
True
Is 2962 a multiple of 20?
False
Is 83346 a multiple of 29?
True
Is 888 a multiple of 4?
True
Does 22 divide 6072?
True
Is 777 a multiple of 18?
False
Is 1270 a multiple of 10?
True
Is 16 a factor of 2130?
False
Is 99 even?
False
Is 927 a multiple of 8?
False
Does 16 divide 255?
False
Is 38 even?
True
Is 53409 a multiple of 7?
False
Is 322 a multiple of 23?
True
Is 282 a factor of 61194?
True
Is 143 a factor of 7007?
True
Is 4738 a multiple of 126?
False
Does 26 divide 970?
False
Is 2111 a multiple of 12?
False
Is 11953 a multiple of 69?
False
Is 15 a factor of 12121?
False
Is 34 a factor of 238?
True
Is 17 a factor of 3378?
False
Is 2144 a multiple of 78?
False
Does 178 divide 18326?
False
Does 14 divide 10009?
False
Is 8984 even?
True
Is 93632 a multiple of 16?
True
Is 47 a factor of 43187?
False
Does 64 divide 65193?
False
Is 13 a factor of 1898?
True
Is 13 a factor of 689?
True
Is 22195 a multiple of 4?
False
Does 42 divide 378?
True
Is 68 a factor of 8171?
False
Does 45 divide 2610?
True
Is 28 a factor of 1304?
False
Is 17 a factor of 102?
True
Is 18 a factor of 1074?
False
Is 480 a multiple of 8?
True
Is 6263 a multiple of 32?
False
Does 7 divide 18277?
True
Does 18 divide 2250?
True
Does 7 divide 144?
False
Does 119 divide 7773?
False
Does 45 divide 585?
True
Is 39 a factor of 10981?
False
Is 196 a multiple of 14?
True
Does 17 divide 1565?
False
Is 4 a factor of 46?
False
Does 61 divide 1096?
False
Is 21 a factor of 142580?
False
Does 15 divide 43882?
False
Is 13475 a multiple of 154?
False
Does 13 divide 19890?
True
Is 405 a multiple of 14?
False
Is 4070 a multiple of 3?
False
Is 46 a multiple of 2?
True
Is 3 a factor of 331?
False
Does 14 divide 19502?
True
Is 22 a factor of 3118?
False
Is 9 a factor of 2218?
False
Is 112 a multiple of 4?
True
Does 18 divide 46823?
False
Is 426 a multiple of 25?
False
Does 128 divide 9597?
False
Does 3 divide 422?
False
Is 411 a factor of 74802?
True
Is 14 a factor of 10026?
False
Does 9 divide 8165?
False
Is 1708 a multiple of 14?
True
Is 75 a factor of 1782?
False
Is 94863 a multiple of 251?
False
Is 93 a factor of 3446?
False
Is 17 a factor of 3669?
False
Is 20 a factor of 46040?
True
Is 452 a multiple of 24?
False
Is 16 a factor of 737?
False
Is 26 a factor of 25279?
False
Is 66150 a multiple of 27?
True
Does 63 divide 1008?
True
Is 3417 a multiple of 67?
True
Is 5 a factor of 381?
False
Is 3056 even?
True
Is 6624 a multiple of 69?
True
Is 139980 a multiple of 78?
False
Is 16 a factor of 19680?
True
Is 12 a factor of 21373?
False
Does 37 divide 1332?
True
Is 322 a multiple of 87?
False
Is 2451 a multiple of 43?
True
Does 20 divide 39240?
True
Does 22 divide 990?
True
Does 73 divide 64240?
True
Does 15 divide 3855?
True
Is 5742 a multiple of 319?
True
Is 18 a factor of 302?
False
Is 2195 a multiple of 68?
False
Is 307 a factor of 6447?
True
Does 58 divide 754?
True
Does 3 divide 4005?
True
Is 1641 a multiple of 57?
Fal