AI Math Solver — Derivatives, Integrals, Geometry, Competition Math
Ryna AI solves math problems step-by-step and explains the rule behind each move. With Plus, snap a photo of your problem and Ryna reads + solves it. Deep Thinking mode handles competition-level questions too.
70 out of every 100 students taking Türkiye's national university exam under-perform on math — the 2025 ÖSYM data shows the AYT math section averages just 4.2 net out of 12. The cause is rarely knowledge — students recognize techniques when they see them but can't pick the right technique on their own under time pressure.
Ryna AI is built to close that gap. Type the problem or upload a photo (Plus); Ryna AI walks through the solution step-by-step and explains why it picks each rule. Ask 'why doesn't this need L'Hôpital?' and you don't just get the answer — you get the reasoning behind the choice. Deep Thinking mode (Plus) handles olympiad-level problems, multi-step proofs, and complex geometry.
Output is in your language with curriculum-aligned terminology. Math expressions render in LaTeX so you can copy-paste into Word or Notion. The free plan covers near-unlimited problems daily; photo upload and Deep Thinking require Plus ($12/mo, 399.99 TRY).
Why use Ryna AI for this
Step-by-step solutions with reasoning per step: not just 'apply substitution' but 'why substitution here'.
Photo-to-solution (Plus): handwritten problems, textbook pages, exam scans — OCR converts to text and solves.
Deep Thinking (Plus): handles AYT-level (Türkiye), olympiad, GRE/GMAT problems with 30-60 seconds of structured reasoning.
Curriculum-aligned terminology: 'solution set', 'exponent', 'combinatorics' in your language — not awkward translations.
Practice set generation: 'give me 5 problems on this topic, easy to hard' — instant custom worksheet.
LaTeX output: copy and paste into Word, Notion, or Google Docs — formulas survive intact.
Example prompts
Copy any prompt below and paste into chat.rynaai.com. Each prompt is tuned for a different scenario — try them all to see how Ryna AI adapts.
How it works — step by step
- 1
Enter the problem
Open chat.rynaai.com. Type the problem or, on Plus, snap a photo. Handwritten, textbook page, scanned exam — all work.
- 2
Turn on Deep Thinking (hard problems)
For competition-level, multi-step proofs, or 5+ step integrals, switch to Deep Thinking (Plus). It thinks for 30-60 seconds before answering. Skip it for routine problems.
- 3
Read the solution, check the reasoning
Ryna AI gives you logic, not just the number. Ask 'why this rule?' at any step. Questions like 'why +2 here? was that the integral constant?' get answered.
- 4
Drill into what's unclear
If a step confuses you, ask 'explain this step more simply' or 'what's the geometric meaning of this rule?' — it expands without rewriting from scratch.
- 5
Practice
End with 'give me 3 problems to drill this technique'. Solve them yourself, then ask for solutions to compare. Self-testing seals the learning.
Example: input → output
You ask
lim(x→0) sin(x)/x — step by step, no L'Hôpital.
Ryna AI returns
Step 1: Build a geometric argument. Take a unit circle with central angle x radians. Step 2: Compare sin(x), tan(x), and x on the circle: sin(x) ≤ x ≤ tan(x) (for 0 < x < π/2) Step 3: Divide by sin(x) (positive, so direction is preserved): 1 ≤ x/sin(x) ≤ 1/cos(x) Step 4: Take reciprocals: cos(x) ≤ sin(x)/x ≤ 1 Step 5: As x → 0, cos(x) → 1. By the squeeze theorem, sin(x)/x → 1. Result: lim(x→0) sin(x)/x = 1 Why not L'Hôpital? L'Hôpital relies on derivatives, and the definition of the derivative for sin(x) already assumes this limit — it would be circular.
Pro tips
- Phrase prompts as 'solve step-by-step and explain the rules' — naming rules helps you on the actual test.
- When uploading photos (Plus), shoot perpendicular to the light source. Shadowed handwriting is the #1 OCR failure.
- Always enable Deep Thinking for olympiad/AYT-level problems. Standard mode tries shortcuts and can miss on hard problems.
- After getting a solution, ask 'why did you pick this approach?' — Ryna AI explains its problem-recognition path. Internalizing that path is what makes you better at picking the right method under pressure.
- When pasting LaTeX into Word, use 'Insert Equation' — direct paste mangles formulas.
- When studying, solve 5 problems and tag each by the method used (substitution, parts, partial fractions). Tagging builds a mental library.
Ryna AI vs Photomath
| Feature | Ryna AI | Photomath |
|---|---|---|
| Explanation depth | Ask 'why' at any step; chat context is preserved | Static step list; no 'why' follow-ups |
| Olympiad / advanced exam problems | Deep Thinking mode (Plus) handles it | Limited to standard curriculum |
| Native curriculum terminology | Curriculum-aligned ('reel sayılar', 'belirsiz integral' for TR) | Translation-style; occasional miscoinage |
| Practice problem generation | Generate 5-10 practice problems + solutions on demand | Solves only — doesn't generate practice |
Common mistakes to avoid
- ✕Copy-pasting answers without learning the technique — you'll see the same problem on the exam and can't solve it.
- ✕Photographing problems at an angle — OCR misreads numbers and the whole solution drifts. Shoot flat, light from the front.
- ✕Asking competition-level problems without enabling Deep Thinking — standard mode tries shortcuts and is more error-prone.
- ✕Submitting Ryna's answer without verification. It's right ~95% of the time, but verify intermediate steps on long proofs.
- ✕Saying 'just give me the answer' — you waste the learning. 'Step-by-step with reasoning' takes the same time and teaches.
- ✕Pasting LaTeX without an Equation editor — formulas mangle, embarrassing on a teacher submission.
Who this is for
High school and university students, competition math candidates, teachers.
FAQ
Can it handle competition/olympiad math?
Yes. Deep Thinking mode (Plus) handles advanced problems and competition-level reasoning. It can also generate practice problems in a specific format.
How does photo-to-solution work?
With Plus, upload the photo. Ryna AI extracts text + equations via OCR, converts to a problem, and solves it — including handwritten problems. For best results, shoot flat with front lighting.
My teacher wants 'your own solution' — is this ethical?
Ryna gives you the solution; that's not cheating, it's understanding. The healthy path: solve the AI-provided problem, then do a similar one yourself without help. Teachers can tell the difference between copy and comprehension.
Can it solve olympiad-level problems?
Deep Thinking handles olympiad-level problems well, but not 100%. Ask for multiple proof methods — 'prove this another way too' — then cross-check the approaches.
Which topics does it handle best?
Algebra, calculus (limits/derivatives/integrals), trigonometry, geometry, probability, combinatorics, linear algebra, number theory. Very niche topics (e.g., tropical geometry) may need verification.
How do I export the solution to Word or Notion?
Ryna AI returns LaTeX-formatted math. In Word, use 'Insert Equation'; in Notion, use the '/equation' block. Plain paste mangles formulas.
Does it ever give wrong answers?
Rarely — accuracy is 95%+, but errors can occur on long proofs or heavy numerical work. For high-stakes submissions, independently verify the final answer (calculator or alternative source).
Can it solve multiple problems at once?
Yes — paste 5-10 problems and it'll work through them in order. But solving them one at a time, with reasoning, is more educational.
Related use cases
Free — near-unlimited daily messages
No credit card. Plus at $12/mo (399.99 TRY) unlocks image analysis, file analysis (PDF/Word/Excel), deep thinking, web research, and assistants.