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]


o 4 decimal places?
0.0013
Let d be ((-2)/4)/(5/(-20)). Suppose -2*r - 2*r = d*i + 239996, 2*i + 240002 = 2*r. What is i rounded to the nearest 100000?
-100000
Let w = -43856 - -3856. Round w to the nearest one hundred thousand.
0
Let t = 0 + 0. Suppose t = 5*r - 6 + 16. Let l be r/7 + (-8610002)/(-7). Round l to the nearest 100000.
1200000
Suppose 31 = -5*o + 91. Let u be (500/(-3))/((-2)/o). What is u rounded to the nearest 10000?
0
Suppose 15 = 5*s, 6*g - 3*g = 5*s. Suppose 0 = g*r + 7*b - 2*b + 3740, -5*r + 3*b - 3756 = 0. What is r rounded to the nearest 100?
-800
Let a = -12.7 + 12.60016. Let t = 2.9 - 3. Let x = t - a. Round x to four decimal places.
-0.0002
Let y(j) = 3*j**2 - 11*j + 12. Let r = -10 - 1. Let x be y(r). Let u be (-3 - (-14)/8)*x. What is u rounded to the nearest 100?
-600
Let m = 23.7059 + -2.5011. Let v = m - 21. Let l = v + -0.2. What is l rounded to three decimal places?
0.005
Let f = 52.00000066 + -52. What is f rounded to 7 dps?
0.0000007
Let c = 5379996.02799973 - 5379996. Let b = 0.028 - c. Round b to seven dps.
0.0000003
Let z = 0.016 + -0.042. Round z to two dps.
-0.03
Let w = 1.2 - -0.2. Round w to the nearest integer.
1
Let c = 0 + 5. Suppose c*z + 148 = 448. What is z rounded to the nearest ten?
60
Let b be -6*(-11)/(66/(-700)). What is b rounded to the nearest 1000?
-1000
Suppose 0 = -z - 4*v - 3, 3*v + 1 = -z + v. Let t be z/(1 - 82/83). What is t rounded to the nearest 10?
80
Let o = 0.26 - 0.18. Let l = 0.02 - o. Round l to 1 decimal place.
-0.1
Let b = -1.1944 - -1.2. What is b rounded to three decimal places?
0.006
Let s = -0.29 - -0.2899783. What is s rounded to six dps?
-0.000022
Let z = 11 + 15. Let p = -1657033778 - -1657033804.00000037. Let k = z - p. What is k rounded to seven decimal places?
-0.0000004
Suppose -20 = -3*a + 250. Round a to the nearest one hundred.
100
Let j = 0.0642 + -0.081. What is j rounded to three decimal places?
-0.017
Suppose -2*o - 3639 + 122603 = 0. Let d be (192964/12)/(1/(-6)). Let t = o + d. What is t rounded to the nearest ten thousand?
-40000
Let k = -0.04 - 0.46. Let r = k - -0.49999965. What is r rounded to 7 decimal places?
-0.0000004
Let p = -22 + 22.00000013. What is p rounded to seven dps?
0.0000001
Let n = 29 - 30.1. Round n to 0 decimal places.
-1
Suppose 1520 = 10*h - 6*h. Round h to the nearest 100.
400
Let c = 2089 + -2089.9996. Let h = 1 + c. What is h rounded to 4 dps?
0.0004
Suppose 3*d - 2*z = 18900000, 2*d - z - 9435229 = 3164771. What is d rounded to the nearest one million?
6000000
Let p(n) = 92243*n - 9. Let x be p(8). Let t = -94680 + x. Let r = -46745 - t. Round r to the nearest 100000.
-700000
Let z = 11.1 + -1.1. Let s = -9.8 + z. Round s to the nearest integer.
0
Let u be 3*(4/(-2) + (-3145934)/33). What is u rounded to the nearest 10000?
-290000
Let c = 70.0076 - 70. Round c to three decimal places.
0.008
Let j be 12/(-54) + 4/18. Let c be -1056*(j + 9375/9). What is c rounded to the nearest one million?
-1000000
Let a be 460/42*(51 - 12)*-7. What is a rounded to the nearest one thousand?
-3000
Let a = -100.57 - -100. What is a rounded to one dp?
-0.6
Let j = -38.8 - 2.2. Let o = -41.000023 - j. Round o to five dps.
-0.00002
Let h = -12.9 - 0.1. Let a = h + 49. Let t = -32.3 + a. What is t rounded to 0 dps?
4
Suppose -8*x + 5*g = -3*x + 899995, 540001 = -3*x - g. What is x rounded to the nearest one hundred thousand?
-200000
Let a = 0.9 - -9.4. What is a rounded to 0 dps?
10
Let o = -123 + 121.87. Round o to one dp.
-1.1
Let i = 20.99876 + -21. What is i rounded to 4 dps?
-0.0012
Let o = 0.2199 - 0.22. What is o rounded to five decimal places?
-0.0001
Let h = 0.21999958 + -0.22. Round h to seven decimal places.
-0.0000004
Let w = 74.2 + -68. Let v = -8533.26973 + 8527.07. Let c = v + w. What is c rounded to four dps?
0.0003
Let d = 11 + -11.0000054. What is d rounded to 6 decimal places?
-0.000005
Let d = -9 + 13. Let v be 2 + 12001 - (7 - d). Round v to the nearest 10000.
10000
Let t = -60.0085 - -60. Round t to three dps.
-0.009
Let r be 3/6*(-8)/2. Let n(s) = -30749*s**2 - 3*s - 1. Let h be n(r). Let g = -1522991 - h. Round g to the nearest one million.
-1000000
Let n(g) = g + 2. Let c be n(3). Suppose 0 = c*b - 3*a + 150009, -7*a = -2*b - 2*a - 60015. Round b to the nearest 100000.
0
Let g = 203.4 + -181. Let h = -28 + g. Round h to the nearest integer.
-6
Let v = -0.030032 + 0.03. What is v rounded to 5 dps?
-0.00003
Let z = -1.3 - 7.2. Let q = -0.62 - 0.38. Let i = q - z. Round i to zero dps.
8
Let j = 0.9 - 5.5. Let a = j - -18.3. What is a rounded to zero decimal places?
14
Suppose -810 = 4*f - f. What is f rounded to the nearest one hundred?
-300
Suppose -3*d = -2*p - 6*d - 10000003, -3*p - 3*d - 15000003 = 0. Round p to the nearest one million.
-5000000
Let d(o) be the first derivative of 5072869*o**2/2 - 3*o + 1. Let h be d(3). Let w = -3418604 + h. What is w rounded to the nearest one million?
12000000
Let s = -984.691 - -983. Let w = s + 1.7. Round w to two decimal places.
0.01
Let g = -0.132 - -0.076. Round g to three decimal places.
-0.056
Let r = 2.98 - -0.02. Let p = r + -2.68. What is p rounded to one decimal place?
0.3
Let p = 0.784 - 0.782679. What is p rounded to 4 decimal places?
0.0013
Let b = 0.316 + -0.189. Let h = -0.1270126 + b. Round h to six dps.
-0.000013
Let k = -110.000063 + 110. What is k rounded to five dps?
-0.00006
Let p = 1828711 - -595242. Suppose 2*l - 19423953 + p = 0. Round l to the nearest one million.
9000000
Let p = -30.54 + 31. Let z = 0.06 - p. Let r = 0.45 + z. What is r rounded to 2 decimal places?
0.05
Let j = 5.025 - 5. Let g = j + -0.002. What is g rounded to 2 dps?
0.02
Suppose 4*p + q = 0, -p + 2*q = 3*p. Let l be 4*1/((-12)/(-15)). Suppose 0*k - l*k + 45 = p. Round k to the nearest ten.
10
Let j = 6.42 + -6. Let m = j + -0.4. Let q = m + -0.020006. Round q to 5 dps.
-0.00001
Let w = 0 + -36. Round w to the nearest 10.
-40
Let k = 0.97 + -0.16. What is k rounded to 1 dp?
0.8
Let f = -2.888 - -2.8. Let t = 0.08800039 + f. What is t rounded to 7 decimal places?
0.0000004
Let m(n) = -n**3 - 5*n**2 - 3*n - 1. Let i be m(-3). Let f = 493 + -213. Let w be f/2*5*i. What is w rounded to the nearest 1000?
-7000
Suppose -r - p = -1425, 0*r = r + 3*p - 1415. What is r rounded to the nearest 100?
1400
Let d(z) = 3*z**2 + 2. Let p be d(-2). Let r be p/6 - 2/(-3). Suppose r*a + 17 - 137 = 0. What is a rounded to the nearest ten?
40
Let i = -218 - -215.23. Round i to the nearest integer.
-3
Let p = -40 - -45.8. What is p rounded to zero decimal places?
6
Let x = -4.999972 + 5. What is x rounded to 6 dps?
0.000028
Let i = -0.3 + 2.3. Let h = -5.687 - 0.013. Let n = i + h. Round n to 0 decimal places.
-4
Let c be 2/4 - 23039994/(-12). Suppose -b = 2*b + c. What is b rounded to the nearest one hundred thousand?
-600000
Suppose -18145973 = 2*m + 28854027. Round m to the nearest one million.
-24000000
Let q(n) be the second derivative of n**5/20 - 5*n**4/12 - 2*n**3/3 - 4*n**2 + 3*n. Let m be q(6). Round m to the nearest integer.
4
Suppose 7*q - 2*q - 15 = 0. Suppose 0*i + i + 39495 = -5*n, 2*n + q*i + 15785 = 0. Round n to the nearest one thousand.
-8000
Let w(v) = v + 12. Let u be w(-9). Suppose l = u*l. Round l to 1 decimal place.
0
Let b = -3.98 + 3.97831. Round b to three dps.
-0.002
Let y = -8.894 + 0.094. What is y rounded to the nearest integer?
-9
Let q = 37.81 + -38. Let i = q - -0.1734. What is i rounded to 3 dps?
-0.017
Suppose 3*r = 2*z - 90, -2*r - 3*r = 2*z - 74. Let d be z - (-5 - (-7 + 4)). What is d rounded to the nearest 10?
40
Let s = -316.2 - -312.923. Let o = 0.001 - s. Let x = 3.2 - o. What is x rounded to 2 dps?
-0.08
Let s(a) = a - 1. Let p(y) = 59*y - 9. Let d(t) = p(t) + 3*s(t). Let n be d(11). What is n rounded to the nearest 100?
700
Let l = 0 - 3.2. Round l to the nearest integer.
-3
Suppose 0 = -2*k - 4*b, -k + 4*b - 5 + 17 = 0. Suppose -k*n = -7*n + 4590. Suppose v = 4*v + n. Round v to the nearest one hundred.
-500
Let c = 184 + -183.899. Let x = -16.51690773 - -16.617907. Let m = x - c. Round m to 7 decimal places.
-0.0000007
Let x = -7725473 + 7725471.99999905. Let k = x - -1. What is k rounded to 7 dps?
-0.000001
Let u = 0.27 + -0.27000007. Round u to 7 dps.
-0.0000001