Complex Problem Solver – AI Help for Tough Subjects

The Complex Problem Solver model tackles harder questions that require detailed reasoning, step-by-step calculations, or deep subject knowledge. Powered by Claude 3.5, o1, and O4-mini.

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Best For These Subjects:

Ethics in Research

Question: Informed consent is considered an application of which Belmont principle?

A. Non-maleficence
B. Beneficence
C. Respect for Persons ✅
D. Justice

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Explanation: Informed consent stems from the Belmont principle "Respect for Persons," which emphasizes autonomy and voluntary participation in research.

Business Math – Markup Calculation

Question: What is the selling price of a dining room set at Macy's? Assume actual cost is $730 and 58% markup on selling price. (Round your answer to the nearest cent.)

A. $1,738.10✅
B. $1,738.09
C. $1,738.00
D. $1,739.00

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Explanation:

  1. Let Selling Price = S
  2. Markup = 58% of S = 0.58 × S
  3. Cost = S - Markup = S - 0.58 × S = 0.42 × S
  4. Set up equation: 0.42 × S = $730
  5. Solve for S: S = $730 / 0.42 = $1,738.095...
  6. Round to nearest cent: $1,738.10
  7. Final Answer: $1,738.10

Calculus Examples

1. Square Root Function Limit

Problem: Evaluate the limit:
limx→-3 √(7x + 22)
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Solution:

1. Direct Substitution:

g(-3) = √(7×(-3) + 22) = √(-21 + 22) = √1 = 1

2. Continuity Check:

The function g(x) = √(7x + 22) is continuous at x = -3 since:
  • The expression inside the square root is positive (7×(-3) + 22 = 1 > 0)
  • Square root functions are continuous on their domain

3. Conclusion:

limx→-3 √(7x + 22) = 1

2. Exponential Function Secant Slope

Problem: Find the slope of the secant line connecting the points at x = 0 and x = 2 for:
g(x) = 32x
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Solution:

1. Calculate Function Values:

At x = 0:

g(0) = 32×0 = 30 = 1

At x = 2:

g(2) = 32×2 = 34 = 81

2. Apply Slope Formula:

msec = [g(2) - g(0)] / (2 - 0) = (81 - 1)/2 = 80/2 = 40

3. Final Answer:

The slope of the secant line is 40

Compare With Other Models

FeatureGeneral ModelComplex Solver
Response Speed⚡ Fast⏳ Slower but deeper
Best ForSimple factual Q&AMulti-step academic problems
Explanation Depth🟡 Medium🟢 High

Frequently Asked Questions

What kinds of problems are best for this model?

Use it for calculus, science, critical thinking, or any problem that needs structured step-by-step logic.

Can I get full explanations with steps?

Yes. The Complex Solver is designed to walk you through detailed processes, not just give an answer.

Which models power this?

Claude 3.5, o1, O4-mini, and other advanced AI models work together to ensure accuracy and reasoning.

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See how it performs on real exam-level problems.

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