The #1 AI coach
for every olympiad

Socratic AI coaching for every major math, CS, and science olympiad — it never hands you the answer.

polyteach.app
Coach — AMC/AIME Number Theory
AMC 8·AMC 10·AMC 12·AIME·USAMO·MATHCOUNTS·USACO·ACSL·F=ma·USNCO·USABO·Science Olympiad·Science Bowl
01

Most studying plateaus because it's built around answers, not questions.

Watching a worked solution feels like progress. It isn't. The skill that actually shows up on test day — noticing which idea to reach for, on a problem you've never seen — only develops when you're forced to find it yourself. Most prep resources skip straight to the answer key.

02

A general chatbot won't fix that — it's built to be helpful, which means it just tells you.

Ask a generic AI for help and it optimizes for the fastest correct answer. PolyTeach is built around one constraint instead: never tell, always ask.

A typical AI chatbot
How do I count arrangements of AABBCC?
Group the identical letters: 6! / (2! · 2! · 2!) = 90. There are 90 arrangements.
PolyTeach
How do I count arrangements of AABBCC?
If all 6 letters were distinct, how many arrangements would there be?
6! = 720
Good. Now the two A's are identical — how does that change the count?
03

How PolyTeach differs

Built for students serious about competitive academics

Coach mode

Socratic coaching

Never hands you the answer. Asks the exact question that unblocks your thinking — at any hour.

AMC 12 · Counting & Probability
How do I count arrangements of AABBCC?
If all 6 letters were distinct, how many arrangements would there be?
6! = 720
Good. Now the two A's are identical — how does that affect the count?
Practice mode

Competition-caliber problems

Problems matched to real contest difficulty — not generic textbook exercises.

AMC 12 · Problem 14

How many positive integers n ≤ 100 satisfy n² − n + 1 ≡ 0 (mod 7)?

A) 13
B) 14
C) 15
D) 16
Mock test

Full AMC practice, built in.

Timed, scored, and instantly debriefed — just like the real exam. Try a live question below.

AMC 10·Question 8 of 30
67:46

How many positive integers n ≤ 100 satisfy n² − n + 1 ≡ 0 (mod 7)?

Score

0/

questions correct

Instructions

Select the best answer. No penalty for guessing. Each correct answer is worth 6 points.

Diagnostic assessment

Knows exactly where you stand.

Answer a few questions and watch the system pinpoint your strengths and gaps in real time.

AMC 10 Diagnostic·Question 1 of 4
Intermediate
Algebra↑ Difficulty adjusting based on your answers

If 3x + 7 = 22, what is 2x?

Live assessment

Algebra
Number Theory
Geometry
Combinatorics
Diagnose mode

Adaptive diagnostic

10 questions that map your knowledge ceiling concept-by-concept and generate a study plan.

Level assessment

Algebra
82%
Combinatorics
64%
Number Theory
41%
Geometry
28%
Prep campaign

Day-by-day study plan

Set a competition date. The agent builds a day-by-day plan and adjusts after each session based on what you actually understood.

AMC 12 prep · 44 days left

M
T
W
T
F
S
S

Live demo

What a session looks like

The coach never gives you the answer. It asks the question that makes you find it.

01

Pick your competition

AMC 12, AIME, USAMO, USACO, USAPhO, USNCO, USABO — select the one you're training for.

02

Run a session

Coach mode for open questions, Practice for problems, Diagnose to map your gaps and get a study plan.

03

Derive, don't memorize

The coach never gives you the answer. It asks the question that makes you find it — so it actually sticks.

polyteach.app
Coach — AMC/AIME Number Theory

Student results

Students who qualified

What changes once you stop looking up solutions.

01

I qualified for AIME this year after two years of trying. The difference was having to derive every answer myself instead of watching solutions.

Marcus T.

AMC 12 → AIME qualifier

02

I went from barely knowing what USACO was to a Silver finish in one prep season. The Socratic sessions on graph algorithms were brutal — but they stuck.

Priya K.

USACO Silver

03

My F=ma score jumped 18 points. Having an AI that refuses to give you the answer is annoying at first, then it becomes the only thing that works.

Daniel R.

USAPhO semifinalist

The research

Why Socratic coaching produces competitors

50%

more material retained when you actively recall vs. re-reading.

Karpicke & Roediger, Science (2006)

98th pct

where the average tutored student lands relative to lecture-taught peers.

Bloom, Educational Researcher (1984)

55%

fewer STEM failures when taught with question-driven active methods.

Freeman et al., PNAS (2014)

How we compare

The only platform built
for every major olympiad

AoPS pioneered math olympiad prep. USACO Guide owns competitive programming. But no single platform coaches you across math, CS, physics, chemistry, and biology — until now.

PolyTeach
AoPS
USACO Guide
Brilliant
Private Tutor

Socratic coaching

Guides you to the answer through questions — never just gives it away

Math olympiads (AMC · AIME · USAMO)

Structured content and coaching for AMC 8/10/12, AIME, USAMO, MATHCOUNTS

CS olympiad (USACO · ACSL)

Algorithms, data structures, and contest problem sets for USACO Bronze–Platinum

Physics olympiad (USAPhO · F=ma)

Mechanics, E&M, and olympiad-style derivations for F=ma and USAPhO

Chemistry olympiad (USNCO)

Stoichiometry, organic, and lab-theory problems calibrated to USNCO difficulty

Biology olympiad (USABO)

Cell biology, genetics, ecology, and physiology coaching for USABO Open/Semifinals

Adaptive diagnostic

Pinpoints your exact knowledge ceiling concept-by-concept in one session

Competition study plan

Day-by-day prep campaign keyed to your competition date — adjusts after every session

Personalized to your level

Every problem and hint is calibrated to where you actually are right now

Available 24/7

No scheduling, no waiting — start a session any time

Affordable (≤ $25/mo)

Less than a single hour with a private tutor, every month, unlimited sessions

Full support
Partial / limited
Not available

Competitor features based on publicly available information as of 2026.

Pricing

Simple pricing for serious competitors

AIME qualification is worth $0 to a college if you can't explain how you solved the problem.

Free

$0

30 sessions / month

  • Socratic coaching on all subjects
  • Practice problem generation
  • One diagnostic per subject
Start training

Pro

Most popular
$20/mo

Cancel anytime

  • Unlimited sessions
  • Full adaptive study plan from diagnostic
  • Competition prep campaign mode
  • Week-by-week progress reports
  • Concept-level mastery tracking

Team / School

$50/seat/mo

10-seat minimum

  • Everything in Pro
  • Seat-based billing for clubs and schools
  • Invite-code team management
= $500/mo

At $20/month during a 4-month prep window, the cost is less than a single hour with a private math tutor — and you get unlimited sessions.

PolyTeach is an AI coach for competition math, science olympiads, AP courses, debate, and more. Instead of handing you answers, it asks the questions that get you there yourself — the same way a great human tutor would.

General chatbots are built to be maximally helpful, which usually means giving you the answer outright. PolyTeach is built around one rule: never tell, always ask. Coaching, practice problems with progressive hints, and adaptive diagnostics are all tuned for that — not generic Q&A.

60+ subjects: AMC/AIME/USAMO, MATHCOUNTS, USACO, Science Olympiad, all 38 AP courses, DECA, FBLA, Policy and LD debate, Model UN, and more.

The diagnostic maps your knowledge concept-by-concept, not just subject-by-subject — so hints and practice problems are calibrated to exactly where you're stuck, not a generic grade level.

Yes. The Free plan includes Socratic coaching, practice problems, and the level diagnostic with 30 messages a month. Pro adds unlimited messages and progress tracking.

Yes — Pro and Team are billed monthly through Stripe and can be canceled anytime from the billing portal on your account page. No long-term contracts.

Your conversations and progress are tied to your account and never sold. You can review your billing and account details anytime from the Account page.

03

Train the way competitors train.

Pick your competition. Map your gaps. Work through problems until the answers come from you.

Start training free