✦ Polysparks beta

The World's First
Process-Diagnostic
Math AI Tutor

Maximize your score improvement with the fewest questions in the shortest time.

Your Shortest Path to Improvement

Tell us your current score range to see your personalized diagnostic path.

PART 01

Question Generation

The Personalized Medical Checkup Sheet

📄

Minimalist Targeted Questioning

Abandon inefficient blind drilling. We use algorithmically calculated, minimal sets of targeted questions to efficiently scan and cover the boundaries of the core concepts you need to master.

✦ TARGET_LOCKED: [2.9] Quotient Rule
x f(x) f'(x) g(x) g'(x)
1 3 −1 2 4
2 5 3 4 −2
3 −2 7 1 6
Given h(x) = f(x) / g(x)  ·  Find h'(2).
✦ TRAP INJECTED
Numerator Reversal Anticipated
Monitoring for:
f(x)g'(x) − f'(x)g(x)
PART 02

Detection

Logic & Execution Diagnostic

🔬

Dual X-Ray of Logic & Execution

Complete your "checkup" on the system's digital paper. Our engine captures your derivation trajectory in real-time. We precisely isolate errors: Is it a surface-level execution slip or a deep-level logic fracture?

⚡ EXECUTION SLIP
1. d/dx cos(x²)
2. = -sin(x²) · 2x
3. = 2x sin(x²)
Diagnosis: Dropped negative sign during simplification. Pure execution error.
🚨 LOGIC FRACTURE
1. d/dx cos(x²)
2. = -sin(2x)
Diagnosis: Chain Rule violation. Compounded derivatives instead of multiplying.

THE HANDWRITTEN
ADVANTAGE

Multiple-choice lets you guess. Typing hides your logic. Only your raw, handwritten steps reveal the exact point where your reasoning breaks down. We don't just grade the final answer—we diagnose your process.

🔍

LINE-BY-LINE EXTRACTION

We analyze your written sequence, isolating the exact line where a careless slip or a conceptual error occurred.

✏️

NO MORE "FAKE UNDERSTANDING"

Watching videos gives an illusion of competence. Forcing you to write out the proof exposes what you actually know.

📊

ROOT CAUSE DIAGNOSIS

Pinpoint the exact foundational gap—like a missed 7th-grade algebra rule—that is sabotaging your current calculus problem.

1. ∫ x² sin(x) dx
2. u = x², dv = sin(x)dx
3. du = 2x dx, v = cos(x)
4. = x²cos(x) − ∫ 2x cos(x) dx
⚡ Diagnostic

Careless slip detected: The integral of sin(x) is −cos(x), not cos(x). Error starts at step 3.

5. ...
START NOW

Choose Your Subject

Begin your free assessment. 15 minutes. No calculator.
Pure brainpower.

Advanced Placement
Calculus AB
  • Limits & Continuity
  • Derivatives
  • Integrals
Start Diagnostic
Advanced Placement
Calculus BC
  • Parametric / Polar
  • Infinite Series
  • Vector Analysis
Start Diagnostic