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Find the vertex of the parabola y = 2(x - 3)² + 5 and describe how it relates to the parent function y = x².
Solve the system: 3x + 2y = 12, 5x - 3y = 1. Use at least two different methods and verify your solution.
Solve the system: 3x + 2y = 12, 5x - 3y = 1. Use at least two different methods and verify your solution.
Solve the system: 3x + 2y = 12, 5x - 3y = 1. Use at least two different methods and verify your solution.
Find the smallest positive integer n such that n ≡ 2 (mod 3), n ≡ 3 (mod 5), and n ≡ 1 (mod 7).
If $5000 is invested at 6% annual interest compounded continuously, how long will it take to triple?
Find all roots of P(x) = x⁴ - 5x³ + 6x² + 4x - 8 and write P(x) in factored form.
Find the sum of the first 20 terms of the sequence where a₁ = 3 and aₙ = 2aₙ₋₁ - 1 for n ≥ 2.
Prove that an inscribed angle is half the central angle that subtends the same arc. Include a diagram and formal proof.
Prove that an inscribed angle is half the central angle that subtends the same arc. Include a diagram and formal proof.
Prove that an inscribed angle is half the central angle that subtends the same arc. Include a diagram and formal proof.
In triangle ABC, the angle bisector of ∠A meets BC at D. If AB = 8, AC = 6, and BC = 10, find BD and CD.
A cylindrical tank with hemispherical ends has a total volume of 1000 cubic feet. Find dimensions that minimize surface area.
Find the equation of the ellipse with foci at (±3, 0) that passes through the point (2, 2√2).
Prove that sin(4θ) = 4sin(θ)cos(θ)(1 - 2sin²(θ)) and use this to solve sin(4x) = 1/2 for 0 ≤ x ≤ 2π.
Two similar triangles have perimeters of 24 and 36. If the area of the smaller triangle is 32, find the area of the larger triangle.
The heights of students in a school are normally distributed with mean 165 cm and standard deviation 8 cm. What's the probability a randomly selected student is between 160 and 170 cm tall?
How many ways can you arrange the letters in "MATHEMATICS" such that no two identical letters are adjacent?
Given data points (1,2), (2,5), (3,7), (4,10), (5,12), find the line of best fit and interpret the correlation coefficient.
A medical test is 95% accurate for detecting a disease that affects 1% of the population. If you test positive, what's the probability you actually have the disease?
A manufacturer claims their light bulbs last 1000 hours on average. Test this claim using a sample of 36 bulbs with mean 980 hours and standard deviation 120 hours.
A basketball player makes 70% of free throws. In a game with 15 free throw attempts, what's the probability of making exactly 12?
A basketball player makes 70% of free throws. In a game with 15 free throw attempts, what's the probability of making exactly 12?
A basketball player makes 70% of free throws. In a game with 15 free throw attempts, what's the probability of making exactly 12?
A farmer has 200 meters of fencing to enclose a rectangular field. What dimensions will maximize the area?
A farmer has 200 meters of fencing to enclose a rectangular field. What dimensions will maximize the area?
A farmer has 200 meters of fencing to enclose a rectangular field. What dimensions will maximize the area?
A bacteria population grows exponentially for 6 hours, then levels off due to limited resources. Model this growth and predict the carrying capacity.
A projectile is launched at angle θ with initial velocity v₀. Find the angle that maximizes range, considering air resistance proportional to velocity.
A company's profit function is P(x) = -2x² + 800x - 12000. Find the production level that maximizes profit and analyze the break-even points.
Two companies are deciding whether to enter a new market. Analyze the payoff matrix and find the Nash equilibrium strategies.
Design an efficient delivery network connecting 8 cities with minimum total distance, considering traffic constraints and delivery capacity.
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Built on over 30 years of China's foundation math education system, proven to produce some of the world's strongest mathematical minds and consistently top-performing students in international assessments.
Our curriculum includes competition-grade problems designed to challenge and inspire advanced learners, preparing students for mathematical olympiads and fostering deep analytical thinking.
Powered by advanced AI technology in education, featuring Socratic questioning methods that guide students to discover solutions independently while providing personalized learning experiences.
A structured two-phase approach that builds solid foundations before advancing to specialized skills
Complete K-12 Mathematical Mastery
Foundation through advanced algebraic concepts
Spatial reasoning from basic shapes to advanced proofs
Data analysis and probabilistic reasoning
Problem-solving across mathematical domains
Advanced Strategies & Competition Preparation
Advanced computational techniques and shortcuts
Systematic approaches to test-taking excellence
Systematic problem-solving methodologies
Elite-level mathematical reasoning and competition skills
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"My daughter went from being bored in math class to asking for extra practice time. The AI tutor explains concepts in ways that click for her."
"Finally found a platform that challenges my gifted son. He's working on algebra in 6th grade and loves the competition-level problems."
"The progress tracking is incredible. I can see exactly where my child excels and what areas need more focus."
"Best investment we've made in our daughter's education. She's gained confidence and actually enjoys math now."
"The AI tutor never gives direct answers but guides my son to discover solutions himself. It's like having a personal math coach."
"Amazing platform! My twin boys are at different math levels and it adapts perfectly to each of their needs."
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We offer a 30-day money-back guarantee on all plans. If you're not completely satisfied, we'll refund your subscription fee.
Get 30% off when you purchase 2 or more accounts on any tier (Bronze, Silver, or Gold). Perfect for families with multiple children or homeschooling groups.
Our Socratic AI asks guiding questions to help students discover solutions independently. It never gives direct answers but provides personalized guidance. Only Gold plans include emotion detection to track student mental health.
Bronze plans include 4-level static hints but no AI tutor. Silver plans allow up to 5 AI conversations per question. Gold plans have unlimited AI conversations per question.
Our curriculum aligns with Common Core standards and goes beyond to challenge advanced students with competition-level problems.
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