{"id":13041,"date":"2026-03-24T05:00:30","date_gmt":"2026-03-24T09:00:30","guid":{"rendered":"https:\/\/wp.glbgpt.com\/?p=13041"},"modified":"2026-07-28T23:31:33","modified_gmt":"2026-07-29T03:31:33","slug":"best-ai-math-solver-tested","status":"publish","type":"post","link":"https:\/\/wp.glbgpt.com\/ar\/hub\/best-ai-math-solver-tested","title":{"rendered":"\u0623\u0641\u0636\u0644 \u062d\u0644\u0627\u0644 \u0630\u0643\u0627\u0621 \u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0644\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a (2026): \u0623\u062f\u0648\u0627\u062a \u062a\u0645 \u0627\u062e\u062a\u0628\u0627\u0631\u0647\u0627 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u062f\u0642\u064a\u0642\u0629"},"content":{"rendered":"<style>.math-test-grid{display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px}.math-test-card{box-sizing:border-box;min-width:0;overflow:hidden}.model-output-details{margin-top:8px}.model-output-details summary{display:block;cursor:pointer;overflow-wrap:anywhere;border:1px solid #52709a;background:#eef4fb;color:#173b63;border-radius:7px;padding:11px 13px;font-weight:700;min-height:22px}.model-output-details summary::-webkit-details-marker{display:none}.model-output-details summary:focus-visible{outline:3px solid #2457d6;outline-offset:3px}.model-output-details .output-hide{display:none}.model-output-details[open] .output-show{display:none}.model-output-details[open] .output-hide{display:inline}.model-output-details pre{white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto}@media(max-width:680px){.math-test-grid{grid-template-columns:1fr}.math-test-card{padding:14px!important}.model-output-details summary{padding:12px!important}}<\/style>\n\n\n\n<div class=\"glb-test-update\" style=\"border:1px solid #b9d7c4;background:#effaf3;border-radius:8px;padding:16px 18px;margin:0 0 18px\"><strong>\u0627\u062e\u062a\u0628\u0627\u0631 \u062c\u062f\u064a\u062f\u060c 28 \u064a\u0648\u0644\u064a\u0648 2026:<\/strong> \u0623\u062c\u0631\u064a\u0646\u0627 \u0646\u0641\u0633 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633 \u0645\u0633\u0627\u0626\u0644 \u0639\u0644\u0649 \u0643\u0644 \u0645\u0646 GPT-5.6 Sol \u0648Claude Opus 5 \u0648Gemini 3.6 Flash \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0633\u064a\u0631 \u0639\u0645\u0644 \u0648\u0627\u062d\u062f \u0644\u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API) \u0645\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 OpenAI. \u0648\u0642\u062f \u0646\u062c\u062d\u062a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0641\u064a \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062e\u0645\u0633 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u062d\u0629 \u0625\u062c\u0627\u0628\u0627\u062a\u0647\u0627. \u0648\u0643\u0627\u0646\u062a \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0627\u0644\u0645\u0644\u0645\u0648\u0633\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0635\u063a\u064a\u0631 \u062a\u062a\u0645\u062b\u0644 \u0641\u064a \u0623\u0633\u0644\u0648\u0628 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0648\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0641\u064a \u0627\u0644\u062c\u0648\u0644\u0629 \u0627\u0644\u0648\u0627\u062d\u062f\u0629 \u2014 \u0648\u0644\u064a\u0633 \u0641\u064a \u062f\u0642\u0629 \u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a.<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0625\u062c\u0627\u0628\u0629 \u0633\u0631\u064a\u0639\u0629:<\/strong> \u0644\u0645 \u064a\u0643\u0646 \u0647\u0646\u0627\u0643 \u0641\u0627\u0626\u0632 \u0645\u0646 \u062d\u064a\u062b \u0627\u0644\u062f\u0642\u0629 \u0641\u064a \u0627\u062e\u062a\u0628\u0627\u0631\u0646\u0627 \u0627\u0644\u062d\u0627\u0644\u064a. \u0641\u0642\u062f \u0633\u062c\u0644\u062a \u0643\u0644 \u0645\u0646 GPT-5.6 Sol \u0648Claude Opus 5 \u0648Gemini 3.6 Flash 5\/5. \u0643\u0627\u0646 \u062c\u0647\u0627\u0632 Gemini 3.6 Flash \u0647\u0648 \u0627\u0644\u0623\u0633\u0631\u0639 \u0641\u064a \u0627\u0644\u0631\u062f \u062d\u064a\u062b \u0627\u0633\u062a\u063a\u0631\u0642 17.45 \u062b\u0627\u0646\u064a\u0629\u060c \u062a\u0644\u0627\u0647 \u062c\u0647\u0627\u0632 Claude Opus 5 \u0628\u0640 17.89 \u062b\u0627\u0646\u064a\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u0627\u0633\u062a\u063a\u0631\u0642 \u062c\u0647\u0627\u0632 GPT-5.6 Sol 32.85 \u062b\u0627\u0646\u064a\u0629. \u0647\u0630\u0647 \u0627\u0644\u0623\u0648\u0642\u0627\u062a \u0646\u0627\u062a\u062c\u0629 \u0639\u0646 \u0637\u0644\u0628 API \u0648\u0627\u062d\u062f \u0644\u0643\u0644 \u0646\u0645\u0648\u0630\u062c\u060c \u0644\u0630\u0627 \u0644\u0627 \u064a\u0646\u0628\u063a\u064a \u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u0645\u0639\u064a\u0627\u0631\u064b\u0627 \u0639\u0627\u0645\u064b\u0627 \u0644\u0644\u0633\u0631\u0639\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0623\u0641\u0636\u0644 \u0628\u0631\u0646\u0627\u0645\u062c \u0644\u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0647\u0648 \u0627\u0644\u0630\u064a \u064a\u0635\u0644 \u0625\u0644\u0649 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0635\u062d\u064a\u062d\u0629\u060c \u0648\u064a\u0642\u062f\u0645 \u0637\u0631\u064a\u0642\u0629 \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646\u0647\u0627\u060c \u0648\u064a\u062a\u0628\u0639 \u0627\u0644\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629\u060c \u0648\u064a\u062a\u0623\u0643\u062f \u0645\u0646 \u0639\u062f\u0645 \u0648\u062c\u0648\u062f \u0634\u0631\u0648\u0637 \u062e\u0641\u064a\u0629. \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628 \u0634\u0645\u0644 \u0627\u062e\u062a\u0628\u0627\u0631\u0646\u0627 \u0645\u0633\u0627\u0626\u0644 \u0641\u064a \u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0639\u0627\u062f\u064a\u060c \u0648\u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629\u060c \u0648\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a\u060c \u0648\u0641\u062e \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u0632\u0627\u0626\u062f\u0629\u060c \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u2014 \u0648\u0644\u064a\u0633 \u0645\u062c\u0631\u062f \u0623\u0633\u0626\u0644\u0629 \u0633\u0647\u0644\u0629 \u062a\u062a\u0637\u0644\u0628 \u0625\u062c\u0627\u0628\u0629 \u0646\u0647\u0627\u0626\u064a\u0629.<\/p>\n\n\n\n<nav class=\"glb-article-toc\" aria-label=\"\u062c\u062f\u0648\u0644 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a\" style=\"border:1px solid #f3d18b;background:#fff8e6;border-radius:8px;padding:18px;margin:18px 0\"><strong>\u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong><ul><li><a href=\"#how-we-tested\">\u0643\u064a\u0641 \u0623\u062c\u0631\u064a\u0646\u0627 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631<\/a><\/li><li><a href=\"#results\">\u0646\u0638\u0631\u0629 \u0639\u0627\u0645\u0629 \u0639\u0644\u0649 \u0627\u0644\u0646\u062a\u0627\u0626\u062c<\/a><\/li><li><a href=\"#five-tests\">\u062e\u0645\u0633\u0629 \u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/a><\/li><li><a href=\"#choose\">\u0623\u064a \u0645\u064f\u062d\u0644 \u064a\u062c\u0628 \u0623\u0646 \u062a\u062e\u062a\u0627\u0631\u0647\u061f<\/a><\/li><li><a href=\"#globalgpt-math-solver\">\u0627\u0633\u062a\u062e\u062f\u0645 \u0623\u062f\u0627\u0629 \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 GlobalGPT<\/a><\/li><li><a href=\"#better-results\">\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u0623\u0641\u0636\u0644<\/a><\/li><li><a href=\"#faq\">\u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u0634\u0627\u0626\u0639\u0629<\/a><\/li><\/ul><\/nav>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"how-we-tested\">\u0643\u064a\u0641 \u0642\u0645\u0646\u0627 \u0628\u0627\u062e\u062a\u0628\u0627\u0631 \u0623\u0641\u0636\u0644 \u0628\u0631\u0627\u0645\u062c \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0639\u0645\u0644 \u0628\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0642\u0645\u0646\u0627 \u0628\u0627\u062e\u062a\u0628\u0627\u0631 \u0623\u062d\u062f\u062b \u0627\u0644\u0637\u0631\u0632 \u0630\u0627\u062a \u0627\u0644\u0635\u0644\u0629 \u0627\u0644\u0645\u062a\u0648\u0641\u0631\u0629 \u0639\u0628\u0631 \u0646\u0641\u0633 \u0627\u062a\u0635\u0627\u0644 \u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API) \u0627\u0644\u0645\u0639\u062a\u0645\u062f\u0629: GPT-5.6 Sol\u060c \u0648Claude Opus 5\u060c \u0648Gemini 3.6 Flash. \u0648\u062a\u0645 \u0645\u0642\u0627\u0631\u0646\u0629 \u0623\u0633\u0645\u0627\u0621 \u0627\u0644\u0637\u0631\u0632 \u0627\u0644\u062d\u0627\u0644\u064a\u0629 \u0645\u0639 \u0643\u062a\u0627\u0644\u0648\u062c \u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API) \u0627\u0644\u0645\u062a\u0627\u062d \u0648\u0635\u0641\u062d\u0627\u062a \u0627\u0644\u0645\u0632\u0648\u062f\u064a\u0646 \u0627\u0644\u062d\u0627\u0644\u064a\u0629 \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 <a href=\"https:\/\/openai.com\/index\/introducing-gpt-5-6\/\" target=\"_blank\" rel=\"noreferrer noopener\">GPT-5.6<\/a>, <a href=\"https:\/\/www.anthropic.com\/news\/claude-opus-5\" target=\"_blank\" rel=\"noreferrer noopener\">Claude Opus 5<\/a>, \u0648 <a href=\"https:\/\/blog.google\/innovation-and-ai\/models-and-research\/gemini-models\/\" target=\"_blank\" rel=\"noreferrer noopener\">Gemini 3.6 \u0641\u0644\u0627\u0634<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0644\u0642\u0649 \u0643\u0644 \u0646\u0645\u0648\u0630\u062c \u0646\u0641\u0633 \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u0646\u0638\u0627\u0645\u064a\u0629 \u0648\u0646\u0641\u0633 \u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u062e\u0645\u0633\u0629 \u0641\u064a \u0637\u0644\u0628 \u0648\u0627\u062d\u062f. \u0648\u0644\u0645 \u0646\u062d\u062f\u062f \u062f\u0631\u062c\u0629 \u062d\u0631\u0627\u0631\u0629 \u0645\u0639\u064a\u0646\u0629 \u0623\u0648 \u0625\u0639\u062f\u0627\u062f\u0627\u062a \u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a \u062e\u0627\u0635\u0629 \u0628\u0643\u0644 \u0646\u0645\u0648\u0630\u062c. \u0648\u0643\u0627\u0646 \u064a\u062c\u0628 \u0623\u0646 \u062a\u062a\u0636\u0645\u0646 \u0643\u0644 \u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0645\u062a\u0628\u0639\u0629\u060c \u0648\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u062d\u062a\u0647\u0627. \u0648\u0644\u0645 \u064a\u064f\u0637\u0644\u0628 \u0625\u062c\u0631\u0627\u0621 \u0623\u064a \u0628\u062d\u062b \u0639\u0644\u0649 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a \u0623\u0648 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0623\u064a \u0623\u062f\u0627\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062e\u0627\u0631\u062c\u064a\u0629.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u0645\u0646\u0637\u0642\u0629 \u0627\u0644\u062a\u0633\u062c\u064a\u0644<\/th><th>\u0645\u0627 \u0642\u0645\u0646\u0627 \u0628\u0641\u062d\u0635\u0647<\/th><th>\u0627\u0644\u0648\u0632\u0646<\/th><\/tr><\/thead><tbody><tr><td>\u0627\u0644\u0635\u062d\u0629<\/td><td>\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0644\u062c\u0645\u064a\u0639 \u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u062e\u0645\u0633\u0629<\/td><td>50%<\/td><\/tr><tr><td>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a<\/td><td>\u0637\u0631\u064a\u0642\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u062f\u0642\u064a\u0642 \u0645\u0639 \u062a\u0648\u0636\u064a\u062d \u0627\u0644\u062a\u062d\u0648\u064a\u0644\u0627\u062a \u0627\u0644\u0645\u0647\u0645\u0629<\/td><td>20%<\/td><\/tr><tr><td>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629<\/td><td>\u0627\u0644\u0645\u0644\u0635\u0642\u0627\u062a \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0648\u0627\u0644\u062a\u063a\u0637\u064a\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0643\u0644 \u0645\u0647\u0645\u0629<\/td><td>15%<\/td><\/tr><tr><td>\u0627\u0644\u062a\u062d\u0642\u0642<\/td><td>\u0627\u0644\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0627\u0644\u0639\u0643\u0633\u064a\u060c \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0634\u0631\u0648\u0637\u060c \u0623\u0648 \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642<\/td><td>15%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0643\u0641\u064a \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629 \u0644\u0643\u0634\u0641 \u0646\u0642\u0627\u0637 \u0627\u0644\u0636\u0639\u0641 \u0627\u0644\u0648\u0627\u0636\u062d\u0629\u060c \u0644\u0643\u0646\u0647\u0627 \u0644\u0627 \u062a\u0643\u0641\u064a \u0644\u0625\u062b\u0628\u0627\u062a \u0623\u0646 \u0646\u0645\u0648\u0630\u062c\u064b\u0627 \u0648\u0627\u062d\u062f\u064b\u0627 \u0647\u0648 \u0627\u0644\u0623\u0641\u0636\u0644 \u0641\u064a \u062c\u0645\u064a\u0639 \u0641\u0631\u0648\u0639 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. \u0648\u0644\u0625\u062c\u0631\u0627\u0621 \u0645\u0642\u0627\u0631\u0646\u0629 \u0623\u0648\u0633\u0639 \u0646\u0637\u0627\u0642\u064b\u0627 \u0628\u064a\u0646 \u0627\u0644\u0637\u0644\u0627\u0628 \u0648\u0627\u0644\u0623\u062f\u0648\u0627\u062a\u060c \u0627\u0646\u0638\u0631 <a href=\"https:\/\/www.glbgpt.com\/hub\/best-ai-for-homework\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0623\u0641\u0636\u0644 \u0623\u062f\u0648\u0627\u062a \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0644\u0644\u0648\u0627\u062c\u0628\u0627\u062a \u0627\u0644\u0645\u0646\u0632\u0644\u064a\u0629<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"results\">\u0646\u0638\u0631\u0629 \u0633\u0631\u064a\u0639\u0629 \u0639\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u0627\u062e\u062a\u0628\u0627\u0631 \u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API) \u0627\u0644\u0641\u0639\u0644\u064a\u0629<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u0646\u0645\u0648\u0630\u062c<\/th><th>\u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a \u0627\u0644\u0635\u062d\u064a\u062d\u0629<\/th><th>\u0627\u0644\u0635\u062d\u0629<\/th><th>\u0627\u0644\u062e\u0637\u0648\u0627\u062a<\/th><th>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629<\/th><th>\u0627\u0644\u062a\u062d\u0642\u0642<\/th><th>\u0627\u0644\u0625\u062c\u0645\u0627\u0644\u064a<\/th><th>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0641\u064a \u0627\u0644\u062c\u0648\u0644\u0629 \u0627\u0644\u0648\u0627\u062d\u062f\u0629<\/th><\/tr><\/thead><tbody><tr><td>GPT-5.6 Sol<\/td><td>5\/5<\/td><td>50\/50<\/td><td>20\/20<\/td><td>15\/15<\/td><td>15\/15<\/td><td><strong>100\/100<\/strong><\/td><td>32.85 \u062b\u0627\u0646\u064a\u0629<\/td><\/tr><tr><td>Claude Opus 5<\/td><td>5\/5<\/td><td>50\/50<\/td><td>20\/20<\/td><td>15\/15<\/td><td>15\/15<\/td><td><strong>100\/100<\/strong><\/td><td>17.89 \u062b\u0627\u0646\u064a\u0629<\/td><\/tr><tr><td>Gemini 3.6 \u0641\u0644\u0627\u0634<\/td><td>5\/5<\/td><td>50\/50<\/td><td>20\/20<\/td><td>15\/15<\/td><td>15\/15<\/td><td><strong>100\/100<\/strong><\/td><td>17.45 \u062b\u0627\u0646\u064a\u0629<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0644\u062d\u0643\u0645:<\/strong> \u062a\u0639\u0627\u062f\u0644\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0645\u0646 \u062d\u064a\u062b \u0627\u0644\u062f\u0642\u0629 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631. \u0648\u0643\u0627\u0646 \u0646\u0645\u0648\u0630\u062c Gemini 3.6 Flash \u0627\u0644\u0623\u0633\u0631\u0639 \u0628\u0641\u0627\u0631\u0642 \u0636\u0626\u064a\u0644 \u0639\u0646 \u0646\u0645\u0648\u0630\u062c Claude Opus 5. \u0623\u0645\u0627 \u0646\u0645\u0648\u0630\u062c GPT-5.6 Sol \u0641\u0642\u062f \u0642\u062f\u0645 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0623\u0643\u062b\u0631 \u0634\u0645\u0648\u0644\u0627\u064b \u0648\u0627\u0644\u0623\u0641\u0636\u0644 \u062a\u0646\u0638\u064a\u0645\u0627\u064b\u060c \u0644\u0643\u0646\u0647 \u0643\u0627\u0646 \u0623\u0628\u0637\u0623 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062c\u0648\u0644\u0629 \u0627\u0644\u0641\u0631\u062f\u064a\u0629. \u0644\u0627 \u062a\u062d\u0648\u0644 \u0647\u0630\u0647 \u0627\u0644\u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0625\u0644\u0649 \u062a\u0631\u062a\u064a\u0628 \u0639\u0627\u0645 \u0644\u0644\u0633\u0631\u0639\u0629 \u062f\u0648\u0646 \u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631\u0627\u062a \u0645\u062a\u0643\u0631\u0631\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0625\u0630\u0627 \u0643\u0646\u062a \u062a\u062a\u0631\u062f\u062f \u0628\u064a\u0646 \u0627\u062e\u062a\u064a\u0627\u0631 \u0637\u0631\u0627\u0632 OpenAI \u0648\u0627\u0644\u0628\u062f\u0627\u0626\u0644 \u0627\u0644\u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 <a href=\"https:\/\/www.glbgpt.com\/hub\/best-chatgpt-alternatives-for-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">2026: \u0628\u062f\u0627\u0626\u0644 ChatGPT \u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/a> \u064a\u063a\u0637\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062e\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u0623\u0648\u0633\u0639.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"five-tests\">\u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u062e\u0645\u0633 \u0627\u0644\u062a\u064a \u0627\u0633\u062a\u062e\u062f\u0645\u0646\u0627\u0647\u0627<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 1: \u0627\u0644\u062c\u0628\u0631 \u0648\u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062c\u0628\u0631 \u00b7 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u00b7 \u0627\u0633\u062a\u0639\u0627\u062f\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q1\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 1: \u0627\u0644\u062c\u0628\u0631 \u0648\u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> GPT-5.6 \u0633\u0648\u0644 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062c\u0628\u0631 \u00b7 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u00b7 \u0627\u0633\u062a\u0639\u0627\u062f\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 1 \u2014 \u0627\u0644\u062c\u0628\u0631: \u0627\u0644\u0639\u062f\u062f\u0627\u0646 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0627\u0646 x \u0648 y \u064a\u062d\u0642\u0642\u0627\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 x + y = 11 \u0648 xy = 24. \u0623\u0648\u062c\u062f x\u00b2 + y\u00b2\u060c \u062b\u0645 \u062d\u062f\u062f \u0627\u0644\u0632\u0648\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u062a\u0628 {x\u060c y}.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2 + y\u00b2 = 73\u061b {x\u060c y} = {3\u060c 8}. \u064a\u062c\u0628 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\/\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0634\u0643\u0644 \u0645\u062a\u0633\u0642 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644\u062a\u0627 \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0627\u0633\u062a\u062e\u062f\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u062e\u062a\u0635\u0627\u0631 \u00ab\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629\u00bb\u060c \u0648\u0627\u0633\u062a\u062e\u0644\u0635\u062a \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 3 \u06488 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0633\u062a\u0647\u062f\u0641\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 32.85 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u0627\u0644\u062e\u0637\u0648\u0627\u062a\n\n\u0627\u0644\u0645\u0639\u0637\u064a\u0627\u062a\n\\[\nx+y=11,\\qquad xy=24.\n\\]\n\n\u0627\u0633\u062a\u062e\u062f\u0645\n\\[\nx^2+y^2=(x+y)^2-2xy.\n\\]\n\n\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\n\\[\nx^2+y^2=11^2-2(24)=121-48=73.\n\\]\n\n\u0644\u062a\u062d\u062f\u064a\u062f \u0642\u064a\u0645\u062a\u064a \\(x\\) \u0648 \\(y\\)\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646\u0627 \u062c\u0630\u0631\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629\n\\[\nt^2-(x+y)t+xy=0,\n\\]\n\u0625\u0630\u0646\n\\[\nt^2-11t+24=0.\n\\]\n\n\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644:\n\\[\n(t-3)(t-8)=0.\n\\]\n\n\u0648\u0645\u0646 \u062b\u0645\u060c \u0641\u0625\u0646 \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 \u0647\u0645\u0627 \\(3\\) \u0648 \\(8\\).\n\n### \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\n\n\\[\n\\boxed{x^2+y^2=73},\\qquad \\boxed{\\{x,y\\}=\\{3,8\\}}.\n\\]\n\n### \u0627\u0644\u062a\u062d\u0642\u0642\n\n\\[\n3+8=11,\\qquad 3\\cdot 8=24,\n\\]\n\u0648\n\\[\n3^2+8^2=9+64=73.\n\\]<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q1\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 1: \u0627\u0644\u062c\u0628\u0631 \u0648\u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Claude Opus 5 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062c\u0628\u0631 \u00b7 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u00b7 \u0627\u0633\u062a\u0639\u0627\u062f\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 1 \u2014 \u0627\u0644\u062c\u0628\u0631: \u0627\u0644\u0639\u062f\u062f\u0627\u0646 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0627\u0646 x \u0648 y \u064a\u062d\u0642\u0642\u0627\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 x + y = 11 \u0648 xy = 24. \u0623\u0648\u062c\u062f x\u00b2 + y\u00b2\u060c \u062b\u0645 \u062d\u062f\u062f \u0627\u0644\u0632\u0648\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u062a\u0628 {x\u060c y}.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2 + y\u00b2 = 73\u061b {x\u060c y} = {3\u060c 8}. \u064a\u062c\u0628 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\/\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0634\u0643\u0644 \u0645\u062a\u0633\u0642 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644\u062a\u0627 \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0627\u0633\u062a\u062e\u062f\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u062e\u062a\u0635\u0627\u0631 \u00ab\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629\u00bb\u060c \u0648\u0627\u0633\u062a\u062e\u0644\u0635\u062a \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 3 \u06488 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0633\u062a\u0647\u062f\u0641\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.89 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a\n- (x+y)\u00b2 = x\u00b2 + 2xy + y\u00b2\u060c \u0625\u0630\u0646 x\u00b2 + y\u00b2 = 11\u00b2 \ufffd?? 2(24) = 121 \ufffd?? 48 = 73.\n- x \u0648 y \u0647\u0645\u0627 \u062c\u0630\u0631\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 t\u00b2 \ufffd?? 11t + 24 = 0 = (t \ufffd?? 3)(t \ufffd?? 8).\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\nx\u00b2 + y\u00b2 = 73\u061b {x, y} = {3, 8}.\n\n\u0627\u0644\u062a\u062d\u0642\u0642\n3 + 8 = 11\u060c \u06483\u00b78 = 24\u060c \u06489 + 64 = 73. \u0648\u0627\u0644\u062a\u0645\u064a\u064a\u0632 121 - 96 = 25 &gt; 0\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0643\u0644\u0627 \u0627\u0644\u062c\u0630\u0631\u064a\u0646 \u062d\u0642\u064a\u0642\u064a\u0627\u0646.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q1\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 1: \u0627\u0644\u062c\u0628\u0631 \u0648\u0627\u0644\u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Gemini 3.6 \u0641\u0644\u0627\u0634 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062c\u0628\u0631 \u00b7 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0627\u062a \u00b7 \u0627\u0633\u062a\u0639\u0627\u062f\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 1 \u2014 \u0627\u0644\u062c\u0628\u0631: \u0627\u0644\u0639\u062f\u062f\u0627\u0646 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0627\u0646 x \u0648 y \u064a\u062d\u0642\u0642\u0627\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 x + y = 11 \u0648 xy = 24. \u0623\u0648\u062c\u062f x\u00b2 + y\u00b2\u060c \u062b\u0645 \u062d\u062f\u062f \u0627\u0644\u0632\u0648\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u062a\u0628 {x\u060c y}.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">x\u00b2 + y\u00b2 = 73\u061b {x\u060c y} = {3\u060c 8}. \u064a\u062c\u0628 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\/\u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0634\u0643\u0644 \u0645\u062a\u0633\u0642 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644\u062a\u0627 \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0627\u0633\u062a\u062e\u062f\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u062e\u062a\u0635\u0627\u0631 \u00ab\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629\u00bb\u060c \u0648\u0627\u0633\u062a\u062e\u0644\u0635\u062a \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 3 \u06488 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0633\u062a\u0647\u062f\u0641\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.45 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a:\n1. \u0627\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0645\u062a\u0637\u0627\u0628\u0642\u0629 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 $x^2 + y^2 = (x + y)^2 - 2xy$.\n2. \u0639\u064a\u0651\u0646 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u0639\u0637\u0627\u0629 $x + y = 11$ \u0648 $xy = 24$:\n   $$x^2 + y^2 = 11^2 - 2(24) = 121 - 48 = 73$$\n3. \u0644\u0625\u064a\u062c\u0627\u062f $x$ \u0648 $y$\u060c \u0642\u0645 \u0628\u062a\u0631\u0643\u064a\u0628 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0627\u0644\u062a\u064a \u062c\u0630\u0648\u0631\u0647\u0627 \u0647\u064a $x$ \u0648 $y$:\n   $$t^2 - (x+y)t + xy = 0 \\implies t^2 - 11t + 24 = 0$$\n4. \u0642\u0645 \u0628\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644:\n   $$(t - 3)(t - 8) = 0 \\implies t = 3 \\text{ \u0623\u0648 } t = 8$$\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629:\n$x^2 + y^2 = 73$\u061b \u0627\u0644\u0632\u0648\u062c \u063a\u064a\u0631 \u0627\u0644\u0645\u0631\u062a\u0628 $\\{x, y\\} = \\{3, 8\\}$.\n\n\u0627\u0644\u062a\u062d\u0642\u0642:\n$3 + 8 = 11$\u060c \u0648$3 \\times 8 = 24$\u060c \u0648$3^2 + 8^2 = 9 + 64 = 73$.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u0644\u0627\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629:<\/strong> \u0627\u0633\u062a\u062e\u062f\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u062e\u062a\u0635\u0627\u0631 \u00ab\u0627\u0644\u0647\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629\u00bb\u060c \u0648\u0627\u0633\u062a\u062e\u0644\u0635\u062a \u0627\u0644\u0642\u064a\u0645\u062a\u064a\u0646 3 \u06488 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u0627\u0644\u0636\u0631\u0628 \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0633\u062a\u0647\u062f\u0641\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 2: \u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u00b7 \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u00b7 \u0627\u0644\u062a\u0641\u0631\u062f<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q2\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 2: \u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> GPT-5.6 \u0633\u0648\u0644 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u00b7 \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u00b7 \u0627\u0644\u062a\u0641\u0631\u062f<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 2 \u2014 \u0627\u0644\u0647\u0646\u062f\u0633\u0629\/\u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629: \u0645\u0633\u062a\u0637\u064a\u0644 \u0645\u062d\u064a\u0637\u0647 34 \u0633\u0645 \u0648\u0642\u0637\u0631\u0647 13 \u0633\u0645. \u0623\u0648\u062c\u062f \u0637\u0648\u0644\u064a \u0636\u0644\u0639\u064a\u0647 \u0648\u0645\u0633\u0627\u062d\u062a\u0647. \u0627\u0634\u0631\u062d \u0633\u0628\u0628 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0628\u0639\u0627\u062f.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">\u0637\u0648\u0644 \u0627\u0644\u0636\u0644\u0639\u064a\u0646 5 \u0633\u0645 \u064812 \u0633\u0645\u061b \u0627\u0644\u0645\u0633\u0627\u062d\u0629 60 \u0633\u0645\u00b2. \u064a\u062c\u0628 \u0631\u0628\u0637 \u0634\u0631\u0648\u0637 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631 \u0648\u0634\u0631\u062d \u062a\u0641\u0631\u062f \u0627\u0644\u062d\u0644 \u062d\u062a\u0649 \u062a\u0631\u062a\u064a\u0628 \u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0634\u0643\u0644\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 a+b=17 \u0648 a\u00b2+b\u00b2=169\u060c \u0648\u0627\u0633\u062a\u0646\u062a\u062c\u062a \u0623\u0646 ab=60\u060c \u0648\u0648\u062c\u062f\u062a \u0627\u0644\u0623\u0639\u062f\u0627\u062f 5 \u0648 12\u060c \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631\u064a.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 32.85 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u0627\u0644\u062e\u0637\u0648\u0627\u062a\n\n\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0637\u0648\u0644\u064a \u0627\u0644\u0636\u0644\u0639\u064a\u0646 \u0627\u0644\u0645\u0648\u062c\u0628\u064a\u0646 \u0647\u0645\u0627 \\(a\\) \u0648 \\(b\\).\n\n\u0627\u0644\u0645\u062d\u064a\u0637 \u064a\u0633\u0627\u0648\u064a \\(34\\) \u0633\u0645:\n\\[\n2(a+b)=34,\n\\]\n\u0625\u0630\u0646\n\\[\na+b=17.\n\\]\n\n\u0627\u0644\u0642\u0637\u0631 \u064a\u0633\u0627\u0648\u064a \\(13\\) \u0633\u0645\u060c \u0648\u0628\u0645\u0648\u062c\u0628 \u0646\u0638\u0631\u064a\u0629 \u0641\u064a\u062b\u0627\u063a\u0648\u0631\u0633\u060c\n\\[\na^2+b^2=13^2=169.\n\\]\n\n\u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645\n\\[\n(a+b)^2=a^2+b^2+2ab,\n\\]\n\u0646\u062d\u0635\u0644 \u0639\u0644\u0649\n\\[\n17^2=169+2ab.\n\\]\n\n\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c\n\\[\n289=169+2ab,\n\\]\n\\[\n2ab=120,\n\\]\n\\[\nab=60.\n\\]\n\n\u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639 \u0647\u064a \u062c\u0630\u0648\u0631 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629\n\\[\nt^2-17t+60=0.\n\\]\n\n\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u0625\u0644\u0649 \u0639\u0648\u0627\u0645\u0644:\n\\[\n(t-5)(t-12)=0.\n\\]\n\n\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0637\u0648\u0644\u064a \u0627\u0644\u0636\u0644\u0639\u064a\u0646 \u0647\u0645\u0627 \\(5\\) \u0633\u0645 \u0648\\(12\\) \u0633\u0645. \u0648\u0627\u0644\u0645\u0633\u0627\u062d\u0629 \u0647\u064a\n\\[\nA=ab=60\\text{ \u0633\u0645}^2.\n\\]\n\n\u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0623\u0628\u0639\u0627\u062f \u0627\u0644\u0645\u0633\u062a\u0637\u064a\u0644 \u0644\u0623\u0646 \u0645\u062c\u0645\u0648\u0639 \u0623\u0636\u0644\u0627\u0639\u0647 \u0648\u062d\u0627\u0635\u0644 \u0636\u0631\u0628\u0647\u0627 \u062b\u0627\u0628\u062a\u0627\u0646. \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0644\u0647\u0627 \u062c\u0630\u0631\u0627\u0646 \u0645\u0648\u062c\u0628\u0627\u0646 \u0628\u0627\u0644\u0636\u0628\u0637 \u0647\u0645\u0627 \\(5\\) \u0648\\(12\\)\u060c \u0645\u0645\u0627 \u064a\u0639\u0637\u064a \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0637\u064a\u0644 \u0645\u0639 \u062a\u0628\u062f\u064a\u0644 \u0627\u0644\u0637\u0648\u0644 \u0648\u0627\u0644\u0639\u0631\u0636.\n\n### \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\n\n\\[\n\\boxed{\\text{\u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639: }5\\text{ \u0633\u0645 \u0648 }12\\text{ \u0633\u0645}}\n\\]\n\\[\n\\boxed{\\text{\u0627\u0644\u0645\u0633\u0627\u062d\u0629: }60\\text{ \u0633\u0645}^2}\n\\]\n\n### \u0627\u0644\u062a\u062d\u0642\u0642\n\n\u0627\u0644\u0645\u062d\u064a\u0637:\n\\[\n2(5+12)=2(17)=34\\text{ \u0633\u0645}.\n\\]\n\n\u0627\u0644\u0642\u0637\u0631:\n\\[\n\\sqrt{5^2+12^2}=\\sqrt{25+144}=\\sqrt{169}=13\\text{ \u0633\u0645}.\n\\]\n\n\u0627\u0644\u0645\u0633\u0627\u062d\u0629:\n\\[\n5\\cdot 12=60\\text{ \u0633\u0645}^2.\n\\]<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q2\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 2: \u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Claude Opus 5 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u00b7 \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u00b7 \u0627\u0644\u062a\u0641\u0631\u062f<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 2 \u2014 \u0627\u0644\u0647\u0646\u062f\u0633\u0629\/\u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629: \u0645\u0633\u062a\u0637\u064a\u0644 \u0645\u062d\u064a\u0637\u0647 34 \u0633\u0645 \u0648\u0642\u0637\u0631\u0647 13 \u0633\u0645. \u0623\u0648\u062c\u062f \u0637\u0648\u0644\u064a \u0636\u0644\u0639\u064a\u0647 \u0648\u0645\u0633\u0627\u062d\u062a\u0647. \u0627\u0634\u0631\u062d \u0633\u0628\u0628 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0628\u0639\u0627\u062f.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">\u0637\u0648\u0644 \u0627\u0644\u0636\u0644\u0639\u064a\u0646 5 \u0633\u0645 \u064812 \u0633\u0645\u061b \u0627\u0644\u0645\u0633\u0627\u062d\u0629 60 \u0633\u0645\u00b2. \u064a\u062c\u0628 \u0631\u0628\u0637 \u0634\u0631\u0648\u0637 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631 \u0648\u0634\u0631\u062d \u062a\u0641\u0631\u062f \u0627\u0644\u062d\u0644 \u062d\u062a\u0649 \u062a\u0631\u062a\u064a\u0628 \u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0634\u0643\u0644\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 a+b=17 \u0648 a\u00b2+b\u00b2=169\u060c \u0648\u0627\u0633\u062a\u0646\u062a\u062c\u062a \u0623\u0646 ab=60\u060c \u0648\u0648\u062c\u062f\u062a \u0627\u0644\u0623\u0639\u062f\u0627\u062f 5 \u0648 12\u060c \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631\u064a.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.89 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a\n- \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0637\u0648\u0644\u064a \u0627\u0644\u0636\u0644\u0639\u064a\u0646 \u0647\u0645\u0627 a \u0648 b &gt; 0. \u0627\u0644\u0645\u062d\u064a\u0637: 2(a+b) = 34 \ufffd?? a + b = 17.\n- \u0627\u0644\u0642\u0637\u0631 (\u0646\u0638\u0631\u064a\u0629 \u0641\u064a\u062b\u0627\u063a\u0648\u0631\u0633): a\u00b2 + b\u00b2 = 169.\n- 2ab = (a+b)\u00b2 \ufffd?? (a\u00b2+b\u00b2) = 289 \ufffd?? 169 = 120 \ufffd?? ab = 60.\n- a \u0648 b \u0647\u0645\u0627 \u062c\u0630\u0631\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 t\u00b2 \ufffd?? 17t + 60 = 0 = (t \ufffd?? 5)(t \ufffd?? 12).\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\n\u0627\u0644\u062c\u0627\u0646\u0628\u0627\u0646 5 \u0633\u0645 \u0648 12 \u0633\u0645\u061b \u0627\u0644\u0645\u0633\u0627\u062d\u0629 60 \u0633\u0645\u00b2.\n\n\u0627\u0644\u062a\u062d\u0642\u0642\n2(5+12) = 34\u060c 5\u00b2 + 12\u00b2 = 25 + 144 = 169 = 13\u00b2\u060c \u0627\u0644\u0645\u0633\u0627\u062d\u0629 = 60.\n\u0633\u0628\u0628 \u0627\u0644\u062a\u062d\u062f\u064a\u062f: \u0627\u0644\u0634\u0631\u0637\u0627\u0646 \u064a\u062d\u062f\u062f\u0627\u0646 \u0645\u062c\u0645\u0648\u0639 \u0648\u0637\u0648\u0644 \u0636\u0644\u0639\u064a\u0646\u060c \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u062a\u064f\u062d\u062f\u062f \u0628\u0634\u0643\u0644 \u0641\u0631\u064a\u062f \u0628\u0645\u062c\u0645\u0648\u0639 \u062c\u0630\u0648\u0631\u0647\u0627 \u0648\u0636\u0631\u0628\u0647\u0627. \u0627\u0644\u062a\u0645\u064a\u064a\u0632 289 \ufffd?? 240 = 49 &gt; 0 \u064a\u0639\u0637\u064a \u062c\u0630\u0631\u064a\u0646 \u0645\u0648\u062c\u0628\u064a\u0646\u060c \u0648\u0647\u0645\u0627 \u064a\u0645\u062b\u0644\u0627\u0646 \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0637\u064a\u0644 \u0645\u0639 \u0625\u0639\u0627\u062f\u0629 \u062a\u0633\u0645\u064a\u0629 a \u0648 b \ufffd?? \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0641\u0631\u064a\u062f\u0629 \u0643\u0632\u0648\u062c \u063a\u064a\u0631 \u0645\u0631\u062a\u0628.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q2\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 2: \u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Gemini 3.6 \u0641\u0644\u0627\u0634 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u00b7 \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u00b7 \u0627\u0644\u062a\u0641\u0631\u062f<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 2 \u2014 \u0627\u0644\u0647\u0646\u062f\u0633\u0629\/\u0645\u0633\u0623\u0644\u0629 \u0643\u0644\u0627\u0645\u064a\u0629: \u0645\u0633\u062a\u0637\u064a\u0644 \u0645\u062d\u064a\u0637\u0647 34 \u0633\u0645 \u0648\u0642\u0637\u0631\u0647 13 \u0633\u0645. \u0623\u0648\u062c\u062f \u0637\u0648\u0644\u064a \u0636\u0644\u0639\u064a\u0647 \u0648\u0645\u0633\u0627\u062d\u062a\u0647. \u0627\u0634\u0631\u062d \u0633\u0628\u0628 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0628\u0639\u0627\u062f.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">\u0637\u0648\u0644 \u0627\u0644\u0636\u0644\u0639\u064a\u0646 5 \u0633\u0645 \u064812 \u0633\u0645\u061b \u0627\u0644\u0645\u0633\u0627\u062d\u0629 60 \u0633\u0645\u00b2. \u064a\u062c\u0628 \u0631\u0628\u0637 \u0634\u0631\u0648\u0637 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631 \u0648\u0634\u0631\u062d \u062a\u0641\u0631\u062f \u0627\u0644\u062d\u0644 \u062d\u062a\u0649 \u062a\u0631\u062a\u064a\u0628 \u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0634\u0643\u0644\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 a+b=17 \u0648 a\u00b2+b\u00b2=169\u060c \u0648\u0627\u0633\u062a\u0646\u062a\u062c\u062a \u0623\u0646 ab=60\u060c \u0648\u0648\u062c\u062f\u062a \u0627\u0644\u0623\u0639\u062f\u0627\u062f 5 \u0648 12\u060c \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631\u064a.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.45 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a:\n1. \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0637\u0648\u0644\u064a \u0627\u0644\u0636\u0644\u0639\u064a\u0646 \u0647\u0645\u0627 $a &gt; 0$ \u0648 $b &gt; 0$.\n2. \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062d\u064a\u0637 \u0647\u064a $\u00b2(a + b) = 34 \\implies a + b = 17$.\n3. \u0648\u0641\u0642\u064b\u0627 \u0644\u0646\u0638\u0631\u064a\u0629 \u0641\u064a\u062b\u0627\u063a\u0648\u0631\u0633\u060c \u0641\u0625\u0646 \u0627\u0644\u0642\u0637\u0631 \u064a\u0639\u0637\u064a $a^2 + b^2 = 13^2 = 169$.\n4. \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 $(a + b)^2 = a^2 + b^2 + 2ab$:\n   $$17^2 = 169 + 2ab \\implies 289 = 169 + 2ab \\implies 2ab = 120 \\implies ab = 60$$\n5. \u0627\u0644\u0645\u0633\u0627\u062d\u0629 \u0647\u064a $A = ab = 60\\text{ \u0633\u0645}^2$.\n6. \u0637\u0648\u0644\u0627 \u0627\u0644\u0636\u0644\u0639\u064a\u0646 $a$ \u0648 $b$ \u0647\u0645\u0627 \u0627\u0644\u062c\u0630\u0631\u0627\u0646 \u0627\u0644\u0645\u0648\u062c\u0628\u0627\u0646 \u0644\u0645\u0639\u0627\u062f\u0644\u0629 $t^2 - 17t + 60 = 0$:\n   $$(t - 5)(t - 12) = 0 \\implies t = 5 \\text{ \u0623\u0648 } t = 12$$\n7. **\u0644\u0645\u0627\u0630\u0627 \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0628\u0639\u0627\u062f:** \u064a\u062d\u062f\u062f \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631 \u0628\u0634\u0643\u0644 \u0641\u0631\u064a\u062f \u0643\u0644 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 $(a+b = 17)$ \u0648\u0627\u0644\u062d\u0627\u0635\u0644 $(ab = 60)$ \u0644\u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639 \u0627\u0644\u0645\u0648\u062c\u0628\u0629. \u064a\u062d\u062f\u062f \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u0645\u062c\u0645\u0648\u0639 \u0648\u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0639\u062f\u062f\u064a\u0646 \u0628\u0634\u0643\u0644 \u0641\u0631\u064a\u062f \u0645\u062c\u0645\u0648\u0639\u0629 \u062c\u0630\u0648\u0631 \u062f\u0627\u0644\u0629 \u0643\u062b\u064a\u0631\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0645\u0646 \u0627\u0644\u062f\u0631\u062c\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0639\u0637\u064a \u0632\u0648\u062c\u064b\u0627 \u0641\u0631\u064a\u062f\u064b\u0627 \u0645\u0646 \u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639 \u062d\u062a\u0649 \u0627\u0644\u062a\u0631\u062a\u064a\u0628.\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629:\n\u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639: $5\\text{ \u0633\u0645}$ \u0648 $12\\text{ \u0633\u0645}$\u061b \u0627\u0644\u0645\u0633\u0627\u062d\u0629: $60\\text{ \u0633\u0645}^2$. \u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0623\u0628\u0639\u0627\u062f \u0644\u0623\u0646 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631 \u064a\u062d\u062f\u062f\u0627\u0646 \u0628\u0634\u0643\u0644 \u0641\u0631\u064a\u062f \u0645\u062c\u0645\u0648\u0639 \u0648\u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0623\u0636\u0644\u0627\u0639 \u0627\u0644\u0645\u062a\u062c\u0627\u0648\u0631\u0629\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u062d\u0644\u0648\u0644 \u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0645\u0648\u062c\u0628\u0629 \u0641\u0631\u064a\u062f\u0629.\n\n\u0627\u0644\u062a\u062d\u0642\u0642:\n\u0627\u0644\u0645\u062d\u064a\u0637: $2(5 + 12) = 34\\text{ \u0633\u0645}$. \u0627\u0644\u0642\u0637\u0631: $\\sqrt{5^2 + 12^2} = \\sqrt{25 + 144} = \\sqrt{169} = 13\\text{ \u0633\u0645}$. \u0627\u0644\u0645\u0633\u0627\u062d\u0629: $5 \\times 12 = 60\\text{ \u0633\u0645}^2$.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u0644\u0627\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629:<\/strong> \u0634\u0643\u0644\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u062a\u064a\u0646 a+b=17 \u0648 a\u00b2+b\u00b2=169\u060c \u0648\u0627\u0633\u062a\u0646\u062a\u062c\u062a \u0623\u0646 ab=60\u060c \u0648\u0648\u062c\u062f\u062a \u0627\u0644\u0623\u0639\u062f\u0627\u062f 5 \u0648 12\u060c \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u062d\u064a\u0637 \u0648\u0627\u0644\u0642\u0637\u0631\u064a.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 3: \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u0646\u0633\u0628\u064a \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0627\u062a<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062d\u0633\u0627\u0628 \u00b7 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q3\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 3: \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u0646\u0633\u0628\u064a \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0627\u062a<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> GPT-5.6 \u0633\u0648\u0644 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062d\u0633\u0627\u0628 \u00b7 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 3 \u2014 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0627\u062a: \u064a\u0631\u0641\u0639 \u0645\u062a\u062c\u0631 \u0645\u0627 \u0633\u0639\u0631 \u0623\u062d\u062f \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0628\u0645\u0642\u062f\u0627\u0631 25% \u0639\u0646 \u062a\u0643\u0644\u0641\u062a\u0647\u060c \u062b\u0645 \u064a\u0645\u0646\u062d \u062e\u0635\u0645\u064b\u0627 \u0642\u062f\u0631\u0647 20% \u0639\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u0631\u0641\u0648\u0639. \u064a\u062f\u0641\u0639 \u0627\u0644\u0639\u0645\u064a\u0644 $120 \u0642\u0628\u0644 \u0627\u0644\u0636\u0631\u064a\u0628\u0629. \u0623\u0648\u062c\u062f \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0635\u0627\u0641\u064a\u0629 \u0644\u0644\u062a\u063a\u064a\u0631 \u0645\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 $120\u061b \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a 0%. \u064a\u062c\u0628 \u0636\u0631\u0628 1.25 \u0641\u064a 0.80 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0637\u0631\u062d \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0626\u0648\u064a\u0629.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0648\u0642\u062f \u0623\u062f\u0631\u0643\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0623\u0646 \u0627\u0644\u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0627\u0644\u062a\u0633\u0644\u0633\u0644\u064a\u0629 \u062a\u0644\u063a\u064a \u0628\u0639\u0636\u0647\u0627 \u0628\u0639\u0636\u064b\u0627\u060c \u0648\u062a\u062d\u0642\u0642\u062a \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0645\u0633\u0627\u0631 $120 \u2192 $150 \u2192 $120.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 32.85 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u0627\u0644\u062e\u0637\u0648\u0627\u062a\n\n\u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0647\u064a \\(C\\).\n\n\u062a\u0624\u062f\u064a \u0646\u0633\u0628\u0629 \u0647\u0627\u0645\u0634 \u0627\u0644\u0631\u0628\u062d \u0627\u0644\u0628\u0627\u0644\u063a\u0629 \\(25\\%\\) \u0625\u0644\u0649 \u0636\u0631\u0628 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0641\u064a\n\\[\n1+0.25=1.25.\n\\]\n\n\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0647\u0648\n\\[\n1.25C.\n\\]\n\n\u0648\u064a\u0639\u0646\u064a \u0627\u0644\u062e\u0635\u0645 \u0628\u0646\u0633\u0628\u0629 \\(20\\%\\) \u0623\u0646 \u0627\u0644\u0639\u0645\u064a\u0644 \u064a\u062f\u0641\u0639 \\(80\\%\\) \u0645\u0646 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062d\u062f\u062f:\n\\[\n0.80(1.25C)=120.\n\\]\n\n\u0648\u0628\u0645\u0627 \u0623\u0646\n\\[\n0.80\\cdot 1.25=1,\n\\]\n\u062a\u0635\u0628\u062d \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629\n\\[\nC=120.\n\\]\n\n\u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0647\u0648\n\\[\n\\frac{120-120}{120}\\cdot 100\\%=0\\%.\n\\]\n\n### \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\n\n\\[\n\\boxed{\\text{\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629}=\\$120}\n\\]\n\\[\n\\boxed{\\text{\u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a \u0641\u064a \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629}=0\\%}\n\\]\n\n### \u0627\u0644\u062a\u062d\u0642\u0642\n\n\u0639\u0646\u062f \u0625\u0636\u0627\u0641\u0629 \u0647\u0627\u0645\u0634 \u0631\u0628\u062d \u0628\u0646\u0633\u0628\u0629 \\(25\\%\\) \u0625\u0644\u0649 \\(\\$120\\) \u0646\u062d\u0635\u0644 \u0639\u0644\u0649\n\\[\n120(1.25)=\\$150.\n\\]\n\n\u0648\u0628\u062a\u0637\u0628\u064a\u0642 \u062e\u0635\u0645 \u0628\u0646\u0633\u0628\u0629 \\(20\\%\\) \u0639\u0644\u0649 \\(\\$150\\) \u0646\u062d\u0635\u0644 \u0639\u0644\u0649\n\\[\n150(0.80)=\\$120.\n\\]\n\n\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u062a\u0645\u0627\u0645\u064b\u0627.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q3\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 3: \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u0646\u0633\u0628\u064a \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0627\u062a<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Claude Opus 5 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062d\u0633\u0627\u0628 \u00b7 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 3 \u2014 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0627\u062a: \u064a\u0631\u0641\u0639 \u0645\u062a\u062c\u0631 \u0645\u0627 \u0633\u0639\u0631 \u0623\u062d\u062f \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0628\u0645\u0642\u062f\u0627\u0631 25% \u0639\u0646 \u062a\u0643\u0644\u0641\u062a\u0647\u060c \u062b\u0645 \u064a\u0645\u0646\u062d \u062e\u0635\u0645\u064b\u0627 \u0642\u062f\u0631\u0647 20% \u0639\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u0631\u0641\u0648\u0639. \u064a\u062f\u0641\u0639 \u0627\u0644\u0639\u0645\u064a\u0644 $120 \u0642\u0628\u0644 \u0627\u0644\u0636\u0631\u064a\u0628\u0629. \u0623\u0648\u062c\u062f \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0635\u0627\u0641\u064a\u0629 \u0644\u0644\u062a\u063a\u064a\u0631 \u0645\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 $120\u061b \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a 0%. \u064a\u062c\u0628 \u0636\u0631\u0628 1.25 \u0641\u064a 0.80 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0637\u0631\u062d \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0626\u0648\u064a\u0629.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0648\u0642\u062f \u0623\u062f\u0631\u0643\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0623\u0646 \u0627\u0644\u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0627\u0644\u062a\u0633\u0644\u0633\u0644\u064a\u0629 \u062a\u0644\u063a\u064a \u0628\u0639\u0636\u0647\u0627 \u0628\u0639\u0636\u064b\u0627\u060c \u0648\u062a\u062d\u0642\u0642\u062a \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0645\u0633\u0627\u0631 $120 \u2192 $150 \u2192 $120.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.89 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a\n- \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 = C. \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062d\u062f\u062f = 1.25C.\n- \u0633\u0639\u0631 \u0627\u0644\u0628\u064a\u0639 = 0.80 \u00d7 1.25C = 1.00C.\n- \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639 = 120 \u00d7 C = 120.\n- \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a = (120 - 120)\/120 = 0.\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\n\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 = $120\u061b \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a \u0645\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639 = 0% (\u0644\u0627 \u064a\u0648\u062c\u062f \u062a\u063a\u064a\u0631).\n\n\u0627\u0644\u062a\u062d\u0642\u0642\n120 \u00d7 \u0647\u0627\u0645\u0634 \u0627\u0644\u0631\u0628\u062d 25% \u00d7 150 \u00d7 \u0627\u0644\u062e\u0635\u0645 20% = 150 \u00d7 30 = 120. \u0644\u0627\u062d\u0638 \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a: 1.25 \u00d7 0.80 = 1 \u0628\u0627\u0644\u0636\u0628\u0637\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0648\u0627\u0644\u062e\u0635\u0645 \u064a\u0644\u063a\u064a\u0627\u0646 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636 \u0628\u063a\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629. (\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0642\u0628\u0644 \u0627\u0644\u0636\u0631\u064a\u0628\u0629\u060c \u0643\u0645\u0627 \u0647\u0648 \u0645\u0630\u0643\u0648\u0631.)<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q3\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 3: \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u0646\u0633\u0628\u064a \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0627\u062a<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Gemini 3.6 \u0641\u0644\u0627\u0634 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u062d\u0633\u0627\u0628 \u00b7 \u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 3 \u2014 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0645\u062a\u0639\u062f\u062f \u0627\u0644\u062e\u0637\u0648\u0627\u062a: \u064a\u0631\u0641\u0639 \u0645\u062a\u062c\u0631 \u0645\u0627 \u0633\u0639\u0631 \u0623\u062d\u062f \u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a \u0628\u0645\u0642\u062f\u0627\u0631 25% \u0639\u0646 \u062a\u0643\u0644\u0641\u062a\u0647\u060c \u062b\u0645 \u064a\u0645\u0646\u062d \u062e\u0635\u0645\u064b\u0627 \u0642\u062f\u0631\u0647 20% \u0639\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u0631\u0641\u0648\u0639. \u064a\u062f\u0641\u0639 \u0627\u0644\u0639\u0645\u064a\u0644 $120 \u0642\u0628\u0644 \u0627\u0644\u0636\u0631\u064a\u0628\u0629. \u0623\u0648\u062c\u062f \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0648\u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0635\u0627\u0641\u064a\u0629 \u0644\u0644\u062a\u063a\u064a\u0631 \u0645\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 $120\u061b \u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a 0%. \u064a\u062c\u0628 \u0636\u0631\u0628 1.25 \u0641\u064a 0.80 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0637\u0631\u062d \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0626\u0648\u064a\u0629.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0648\u0642\u062f \u0623\u062f\u0631\u0643\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0623\u0646 \u0627\u0644\u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0627\u0644\u062a\u0633\u0644\u0633\u0644\u064a\u0629 \u062a\u0644\u063a\u064a \u0628\u0639\u0636\u0647\u0627 \u0628\u0639\u0636\u064b\u0627\u060c \u0648\u062a\u062d\u0642\u0642\u062a \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0645\u0633\u0627\u0631 $120 \u2192 $150 \u2192 $120.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.45 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a:\n1. \u0644\u0646\u0641\u062a\u0631\u0636 \u0623\u0646 $C &gt; 0$ \u0647\u064a \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0628\u0627\u0644\u062f\u0648\u0644\u0627\u0631.\n2. \u0647\u0627\u0645\u0634 \u0627\u0644\u0631\u0628\u062d \u0627\u0644\u0628\u0627\u0644\u063a 25%: \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062d\u062f\u062f $M = C \u00d7 (1 + 0.25) = 1.25C$.\n3. \u0627\u0644\u062e\u0635\u0645 \u0628\u0646\u0633\u0628\u0629 20% \u0639\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062d\u062f\u062f: \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639 $P = M \u00d7 (1 - 0.20) = 1.25C \u00d7 0.80 = 1.00C$.\n4. \u0646\u0636\u0639 $P = \\$120$:\n   $$1.00C = 120 \\implies C = \\$120$$\n5. \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0627\u0644\u0635\u0627\u0641\u064a\u0629 \u0644\u0644\u062a\u063a\u064a\u0631 \u0645\u0646 \u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639:\n   $$\\text{\u0627\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a \\%} = \\frac{P - C}{C} \\times 100\\% = \\frac{120 - 120}{120} \\times 100\\% = 0\\%$$\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629:\n\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629: $\\$120$\u061b \u0627\u0644\u0646\u0633\u0628\u0629 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0644\u0644\u062a\u063a\u064a\u0631 \u0627\u0644\u0635\u0627\u0641\u064a: $0\\%$.\n\n\u0627\u0644\u062a\u062d\u0642\u0642:\n\u0647\u0627\u0645\u0634 \u0627\u0644\u0631\u0628\u062d: $\\$120 \\times 1.25 = \\$150$. \u0627\u0644\u062e\u0635\u0645: $\\$150 \\times 0.80 = \\$120$. \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639 \u064a\u0633\u0627\u0648\u064a $\\$120$\u060c \u0648\u0627\u0644\u062a\u0643\u0644\u0641\u0629 \u062a\u0633\u0627\u0648\u064a \u0627\u0644\u0633\u0639\u0631 \u0627\u0644\u0645\u062f\u0641\u0648\u0639 ($0\\%$ \u062a\u063a\u064a\u064a\u0631 \u0635\u0627\u0641\u064d).<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u0644\u0627\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629:<\/strong> \u0648\u0642\u062f \u0623\u062f\u0631\u0643\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0623\u0646 \u0627\u0644\u0645\u0636\u0627\u0639\u0641\u0627\u062a \u0627\u0644\u062a\u0633\u0644\u0633\u0644\u064a\u0629 \u062a\u0644\u063a\u064a \u0628\u0639\u0636\u0647\u0627 \u0628\u0639\u0636\u064b\u0627\u060c \u0648\u062a\u062d\u0642\u0642\u062a \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0645\u0633\u0627\u0631 $120 \u2192 $150 \u2192 $120.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 4: \u0641\u062e \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u062f\u062e\u064a\u0644\u0629<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0634\u0631\u0648\u0637 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646 \u00b7 \u0627\u0644\u0635\u062d\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q4\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 4: \u0641\u062e \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u062f\u062e\u064a\u0644\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> GPT-5.6 \u0633\u0648\u0644 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0634\u0631\u0648\u0637 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646 \u00b7 \u0627\u0644\u0635\u062d\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 4 \u2014 \u0641\u062e \u0627\u0644\u062a\u062d\u0642\u0642: \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u221a(x + 6) = x \u0641\u064a \u0646\u0637\u0627\u0642 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629. \u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644 \u0642\u064a\u0645\u0629 \u0645\u0631\u0634\u062d\u0629 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0648\u0648\u0636\u062d \u0633\u0628\u0628 \u0639\u062f\u0645 \u0635\u062d\u0629 \u0623\u064a \u0642\u064a\u0645\u0629 \u062a\u0645 \u0627\u0633\u062a\u0628\u0639\u0627\u062f\u0647\u0627.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">x=3 \u0641\u0642\u0637. \u064a\u062c\u0628 \u062a\u062d\u062f\u064a\u062f x\u22650\u060c \u0648\u0627\u062e\u062a\u0628\u0627\u0631 \u0642\u064a\u0645\u062a\u064a x=3 \u0648x=\u22122 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629\u060c \u0648\u0631\u0641\u0636 \u0627\u0644\u0642\u064a\u0645\u0629 \u22122 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u0642\u064a\u0645\u0629 \u063a\u0631\u064a\u0628\u0629.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0623\u0634\u0627\u0631\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0625\u0644\u0649 \u0627\u0644\u0642\u064a\u062f \u00ab\u063a\u064a\u0631 \u0627\u0644\u0633\u0627\u0644\u0628\u00bb\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646\u060c \u0648\u0631\u0641\u0636\u062a \u0627\u0644\u0642\u064a\u0645\u0629 \u22122 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629. \u0648\u0647\u0630\u0627 \u064a\u062f\u0639\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0648\u062b\u0648\u0642\u064a\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 32.85 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u0627\u0644\u062e\u0637\u0648\u0627\u062a\n\n\u062d\u0644\n\\[\n\\sqrt{x+6}=x\n\\]\n\u0639\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.\n\n\u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0639\u062f\u062f \u063a\u064a\u0631 \u0633\u0627\u0644\u0628\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0633\u062a\u0648\u0641\u064a \u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0645\u0646 \u0627\u0644\u0634\u0631\u0637\n\\[\nx\\ge 0.\n\\]\n\u0643\u0645\u0627 \u0623\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u062a\u0637\u0644\u0628 \u0623\u0646 \\(x+6\\ge 0\\)\u060c \u0648\u0647\u0648 \u0645\u0627 \u064a\u062a\u062d\u0642\u0642 \u062a\u0644\u0642\u0627\u0626\u064a\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \\(x\\ge 0\\).\n\n\u0646\u0631\u0641\u0639 \u0643\u0644\u0627 \u0627\u0644\u0637\u0631\u0641\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u0645\u0631\u0628\u0639:\n\\[\nx+6=x^2.\n\\]\n\n\u0623\u0639\u062f \u062a\u0631\u062a\u064a\u0628 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629:\n\\[\nx^2-x-6=0.\n\\]\n\n\u0642\u0633\u0651\u0645 \u0639\u0644\u0649 \u0627\u0644\u0639\u0648\u0627\u0645\u0644:\n\\[\n(x-3)(x+2)=0.\n\\]\n\n\u0627\u0644\u062d\u0644\u0648\u0644 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0647\u064a\n\\[\nx=3\\quad\\text{\u0623\u0648}\\quad x=-2.\n\\]\n\n\u064a\u062c\u0628 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u062d\u0644\u064a\u0646 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0644\u0623\u0646 \u0627\u0644\u062a\u0631\u0628\u064a\u0639 \u0642\u062f \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0638\u0647\u0648\u0631 \u062d\u0644\u0648\u0644 \u063a\u064a\u0631 \u0635\u062d\u064a\u062d\u0629.\n\n\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0640 \\(x=3\\):\n\\[\n\\sqrt{3+6}=\\sqrt9=3,\n\\]\n\u0644\u0630\u0627 \u0641\u0625\u0646 \\(x=3\\) \u0635\u062d\u064a\u062d.\n\n\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0640 \\(x=-2\\):\n\\[\n\\sqrt{-2+6}=\\sqrt{4}=2\\ne -2,\n\\]\n\u0644\u0630\u0627 \u0641\u0625\u0646 \\(x=-2\\) \u063a\u064a\u0631 \u0635\u062d\u064a\u062d. \u0648\u0647\u0648 \u063a\u064a\u0631 \u0635\u062d\u064a\u062d \u0644\u0623\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u064a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u063a\u064a\u0631 \u0633\u0627\u0644\u0628\u060c \u0641\u064a \u062d\u064a\u0646 \u0623\u0646 \u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0645\u0646 \u0627\u0644\u0645\u0642\u062a\u0631\u062d \u0633\u0627\u0644\u0628.\n\n### \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\n\n\\[\n\\boxed{x=3}\n\\]\n\n### \u0627\u0644\u062a\u062d\u0642\u0642\n\n\u0628\u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649\n\\[\n\\sqrt{3+6}=3,\n\\]\n\\[\n3=3.\n\\]\n\n\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0631\u0641\u0648\u0636\u0629 \\(x=-2\\) \u062a\u0639\u0637\u064a \\(2=-2\\)\u060c \u0648\u0647\u0648 \u062e\u0637\u0623.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q4\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 4: \u0641\u062e \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u062f\u062e\u064a\u0644\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Claude Opus 5 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0634\u0631\u0648\u0637 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646 \u00b7 \u0627\u0644\u0635\u062d\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 4 \u2014 \u0641\u062e \u0627\u0644\u062a\u062d\u0642\u0642: \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u221a(x + 6) = x \u0641\u064a \u0646\u0637\u0627\u0642 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629. \u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644 \u0642\u064a\u0645\u0629 \u0645\u0631\u0634\u062d\u0629 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0648\u0648\u0636\u062d \u0633\u0628\u0628 \u0639\u062f\u0645 \u0635\u062d\u0629 \u0623\u064a \u0642\u064a\u0645\u0629 \u062a\u0645 \u0627\u0633\u062a\u0628\u0639\u0627\u062f\u0647\u0627.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">x=3 \u0641\u0642\u0637. \u064a\u062c\u0628 \u062a\u062d\u062f\u064a\u062f x\u22650\u060c \u0648\u0627\u062e\u062a\u0628\u0627\u0631 \u0642\u064a\u0645\u062a\u064a x=3 \u0648x=\u22122 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629\u060c \u0648\u0631\u0641\u0636 \u0627\u0644\u0642\u064a\u0645\u0629 \u22122 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u0642\u064a\u0645\u0629 \u063a\u0631\u064a\u0628\u0629.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0623\u0634\u0627\u0631\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0625\u0644\u0649 \u0627\u0644\u0642\u064a\u062f \u00ab\u063a\u064a\u0631 \u0627\u0644\u0633\u0627\u0644\u0628\u00bb\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646\u060c \u0648\u0631\u0641\u0636\u062a \u0627\u0644\u0642\u064a\u0645\u0629 \u22122 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629. \u0648\u0647\u0630\u0627 \u064a\u062f\u0639\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0648\u062b\u0648\u0642\u064a\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.89 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a\n- \u0627\u0644\u0645\u062c\u0627\u0644\/\u0627\u0644\u0634\u0631\u0648\u0637: \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 x + 6 \u2265 0 (x \u2265 6)\u060c \u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u063a\u064a\u0631 \u0633\u0627\u0644\u0628\u060c \u0641\u0625\u0646 x \u2265 0.\n- \u0646\u0631\u0641\u0639 \u0643\u0644\u0627 \u0627\u0644\u0637\u0631\u0641\u064a\u0646 \u0625\u0644\u0649 \u0627\u0644\u062a\u0631\u0628\u064a\u0639: x + 6 = x\u00b2 \ufffd?? x\u00b2 \ufffd?? x \ufffd?? 6 = 0 \ufffd?? (x \ufffd?? 3)(x + 2) = 0 \ufffd?? x = 3 \u0623\u0648 x = \ufffd??2.\n- \u0627\u0644\u062a\u062d\u0642\u0642 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629: x = 3 \ufffd?? \ufffd??9 = 3 \ufffd??. x = \ufffd??2 \ufffd?? \ufffd??4 = 2 \ufffd?\ufffd \ufffd??2 \ufffd??.\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\nx = 3.\n\n\u0627\u0644\u062a\u062d\u0642\u0642\n(3 + 6) = 9 = 3 = x.\n\u0644\u0645\u0627\u0630\u0627 \u0644\u0627 \u064a\u0635\u062d x = 2: \u0627\u0644\u062a\u0631\u0628\u064a\u0639 \u0639\u0645\u0644\u064a\u0629 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0639\u0643\u0633 \u0641\u0647\u0648 \u064a\u062d\u0648\u0644 \ufffd??(x+6) = x \u0625\u0644\u0649 \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u062a\u062d\u0642\u0642 \u0623\u064a\u0636\u064b\u0627 \u0641\u064a \ufffd??(x+6) = \ufffd??x. x = \ufffd??2 \u064a\u062d\u0642\u0642 \u0627\u0644\u0641\u0631\u0639 \u0627\u0644\u062b\u0627\u0646\u064a\u060c \u0644\u0643\u0646\u0647 \u064a\u062e\u0627\u0644\u0641 \u0627\u0644\u0634\u0631\u0637 x \ufffd?\ufffd 0 \u0644\u0623\u0646 \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0633\u0627\u0644\u0628\u064b\u0627. \u0625\u0646\u0647 \u062c\u0630\u0631 \u063a\u0631\u064a\u0628 \u0646\u0627\u062a\u062c \u0639\u0646 \u0627\u0644\u062a\u0631\u0628\u064a\u0639.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q4\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 4: \u0641\u062e \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u062f\u062e\u064a\u0644\u0629<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Gemini 3.6 \u0641\u0644\u0627\u0634 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u0627\u0644\u0634\u0631\u0648\u0637 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646 \u00b7 \u0627\u0644\u0635\u062d\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 4 \u2014 \u0641\u062e \u0627\u0644\u062a\u062d\u0642\u0642: \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u221a(x + 6) = x \u0641\u064a \u0646\u0637\u0627\u0642 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629. \u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644 \u0642\u064a\u0645\u0629 \u0645\u0631\u0634\u062d\u0629 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0648\u0648\u0636\u062d \u0633\u0628\u0628 \u0639\u062f\u0645 \u0635\u062d\u0629 \u0623\u064a \u0642\u064a\u0645\u0629 \u062a\u0645 \u0627\u0633\u062a\u0628\u0639\u0627\u062f\u0647\u0627.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">x=3 \u0641\u0642\u0637. \u064a\u062c\u0628 \u062a\u062d\u062f\u064a\u062f x\u22650\u060c \u0648\u0627\u062e\u062a\u0628\u0627\u0631 \u0642\u064a\u0645\u062a\u064a x=3 \u0648x=\u22122 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629\u060c \u0648\u0631\u0641\u0636 \u0627\u0644\u0642\u064a\u0645\u0629 \u22122 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u0642\u064a\u0645\u0629 \u063a\u0631\u064a\u0628\u0629.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0623\u0634\u0627\u0631\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0625\u0644\u0649 \u0627\u0644\u0642\u064a\u062f \u00ab\u063a\u064a\u0631 \u0627\u0644\u0633\u0627\u0644\u0628\u00bb\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646\u060c \u0648\u0631\u0641\u0636\u062a \u0627\u0644\u0642\u064a\u0645\u0629 \u22122 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629. \u0648\u0647\u0630\u0627 \u064a\u062f\u0639\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0648\u062b\u0648\u0642\u064a\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.45 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a:\n1. \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629: $\\sqrt{x + 6} = x$.\n2. \u0642\u064a\u0648\u062f \u0627\u0644\u0645\u062c\u0627\u0644\/\u0627\u0644\u0634\u0631\u0648\u0637:\n   - \u0627\u0644\u0645\u0639\u0627\u0645\u0644 \u063a\u064a\u0631 \u0633\u0627\u0644\u0628: $x + 6 \\ge 0 \\implies x \\ge -6$.\n   - \u0627\u0644\u062c\u0630\u0631 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u063a\u064a\u0631 \u0633\u0627\u0644\u0628: $\\sqrt{x + 6} \\ge 0 \\implies x \\ge 0$.\n   - \u0642\u064a\u062f \u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0645\u0631\u0643\u0628: $x \\ge 0$.\n3. \u062a\u0631\u0628\u064a\u0639 \u0627\u0644\u0637\u0631\u0641\u064a\u0646:\n   $$x + 6 = x^2 \\implies x^2 - x - 6 = 0$$\n4. \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0639\u0648\u0627\u0645\u0644:\n   $$(x - 3)(x + 2) = 0 \\implies \\text{\u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629: } x = 3, x = -2$$\n5. \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 $\\sqrt{x + 6} = x$:\n   - \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0640 $x = 3$: $\\sqrt{3 + 6} = \\sqrt{9} = 3$. \u0635\u062d\u064a\u062d (\u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0633\u0631 = \u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0645\u0646).\n   - \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0640 $x = -2$: $\\sqrt{-2 + 6} = \\sqrt{4} = 2 \\neq -2$. \u0645\u0631\u0641\u0648\u0636.\n6. **\u0633\u0628\u0628 \u0627\u0644\u0631\u0641\u0636:** \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u062c\u0630\u0631\u064a\u0629 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 $\\sqrt{\\cdot}$ \u062a\u064f\u0639\u0637\u064a \u062f\u0627\u0626\u0645\u064b\u0627 \u0642\u064a\u0645\u0629 \u062d\u0642\u064a\u0642\u064a\u0629 \u063a\u064a\u0631 \u0633\u0627\u0644\u0628\u0629 ($\\sqrt{4} = +2$). \u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0645\u0646 \u064a\u0633\u0627\u0648\u064a $-2$\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 $\u00b2 = -2$ \u063a\u064a\u0631 \u0635\u062d\u064a\u062d\u0629. \u0648$x = -2$ \u0647\u0648 \u062d\u0644 \u0632\u0627\u0626\u062f \u0646\u0627\u062a\u062c \u0639\u0646 \u0627\u0644\u062a\u0631\u0628\u064a\u0639.\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629:\n$x = 3$.\n\n\u0627\u0644\u062a\u062d\u0642\u0642:\n\u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0633\u0631 \u0639\u0646\u062f $x = 3$: $\\sqrt{3 + 6} = \\sqrt{9} = 3 = \\text{\u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0645\u0646}$.\n\u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0633\u0631 \u0639\u0646\u062f $x = -2$: $\\sqrt{-2 + 6} = \\sqrt{4} = 2 \\neq -2 = \\text{\u0627\u0644\u0637\u0631\u0641 \u0627\u0644\u0623\u064a\u0645\u0646}$.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u0644\u0627\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629:<\/strong> \u0623\u0634\u0627\u0631\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0625\u0644\u0649 \u0627\u0644\u0642\u064a\u062f \u00ab\u063a\u064a\u0631 \u0627\u0644\u0633\u0627\u0644\u0628\u00bb\u060c \u0648\u062a\u062d\u0642\u0642\u0651\u062a \u0645\u0646 \u0643\u0644\u0627 \u0627\u0644\u0645\u0631\u0634\u062d\u064a\u0646\u060c \u0648\u0631\u0641\u0636\u062a \u0627\u0644\u0642\u064a\u0645\u0629 \u22122 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629. \u0648\u0647\u0630\u0627 \u064a\u062f\u0639\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0627\u0644\u0645\u0648\u062b\u0648\u0642\u064a\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0631\u0642\u0645 5: \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u0645\u0639 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062a\u0641\u0627\u0636\u0644<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u00b7 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0639\u0643\u0633\u064a<\/p>\n\n\n\n<div class=\"math-test-grid\" style=\"display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,320px),1fr));gap:16px;align-items:start;margin:18px 0 16px\"><article class=\"math-test-card\" data-test=\"Q5\" data-model=\"gpt-5.6-sol\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0631\u0642\u0645 5: \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u0645\u0639 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062a\u0641\u0627\u0636\u0644<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> GPT-5.6 \u0633\u0648\u0644 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u00b7 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0639\u0643\u0633\u064a<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 5 \u2014 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644: \u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u222b 2x*e^(x^2) dx. \u062d\u062f\u062f \u0627\u0633\u0645 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 u = x\u00b2. \u064a\u062c\u0628 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u0627\u062a\u062c \u0644\u064a\u0635\u0628\u062d 2x \u00b7 e^(x\u00b2).<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0642\u0627\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 u=x\u00b2\u060c \u0648\u062a\u0643\u0627\u0645\u0644 e^u\u060c \u0648\u0625\u0639\u0627\u062f\u0629 x\u00b2\u060c \u062b\u0645 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0625\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 32.85 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">### \u0627\u0644\u062e\u0637\u0648\u0627\u062a\n\n\u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629\n\\[\n\\int 2x e^{x^2}\\,dx.\n\\]\n\n\u0627\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0628\u0640 \\(u\\):\n\\[\nu=x^2.\n\\]\n\n\u0625\u0630\u0646\n\\[\ndu=2x\\,dx.\n\\]\n\n\u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c\n\\[\n\\int 2x e^{x^2}\\,dx=\\int e^u\\,du.\n\\]\n\n\u0628\u0627\u0644\u062a\u0643\u0627\u0645\u0644:\n\\[\n\\int e^u\\,du=e^u+C.\n\\]\n\n\u0646\u0633\u062a\u0628\u062f\u0644 \\(u=x^2\\):\n\\[\ne^{x^2}+C.\n\\]\n\n\u0647\u0630\u0627 \u0627\u0644\u0645\u0634\u062a\u0642 \u0627\u0644\u0639\u0643\u0633\u064a \u0635\u062d\u064a\u062d \u0644\u062c\u0645\u064a\u0639 \u0642\u064a\u0645 \\(x\\) \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629.\n\n### \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\n\n\\[\n\\boxed{\\int 2x e^{x^2}\\,dx=e^{x^2}+C}\n\\]\n\n### \u0627\u0644\u062a\u062d\u0642\u0642\n\n\u0623\u062c\u0631\u0650 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629:\n\\[\n\\frac{d}{dx}\\left(e^{x^2}+C\\right)\n=e^{x^2}\\cdot 2x\n=2x e^{x^2}.\n\\]\n\n\u0648\u0647\u0630\u0627 \u064a\u062a\u0637\u0627\u0628\u0642 \u0645\u0639 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q5\" data-model=\"claude-opus-5\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0631\u0642\u0645 5: \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u0645\u0639 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062a\u0641\u0627\u0636\u0644<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Claude Opus 5 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u00b7 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0639\u0643\u0633\u064a<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 5 \u2014 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644: \u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u222b 2x*e^(x^2) dx. \u062d\u062f\u062f \u0627\u0633\u0645 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 u = x\u00b2. \u064a\u062c\u0628 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u0627\u062a\u062c \u0644\u064a\u0635\u0628\u062d 2x \u00b7 e^(x\u00b2).<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0642\u0627\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 u=x\u00b2\u060c \u0648\u062a\u0643\u0627\u0645\u0644 e^u\u060c \u0648\u0625\u0639\u0627\u062f\u0629 x\u00b2\u060c \u062b\u0645 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0625\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.89 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a\n- \u0627\u0644\u062a\u0639\u0648\u064a\u0636: u = x\u00b2\u060c du = 2x dx.\n- \ufffd?\ufffd 2x e^(x\u00b2) dx = \ufffd?\ufffd e^u du = e^u + C = e^(x\u00b2) + C.\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629\ne^(x\u00b2) + C.\n\n\u0627\u0644\u062a\u062d\u0642\u0642\nd\/dx [e^(x\u00b2) + C] = e^(x\u00b2) \u00b7 d\/dx(x\u00b2) = 2x e^(x\u00b2) \ufffd?? (\u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629). \u0635\u062d\u064a\u062d \u0644\u062c\u0645\u064a\u0639 \u0642\u064a\u0645 x \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629\u061b \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0645\u0648\u062f\u0639\u0629 \u0641\u064a \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u0645\u062a\u0635\u0644\u0629 \u0639\u0644\u0649 \ufffd?\ufffd.<\/pre><\/details><\/article>\n<article class=\"math-test-card\" data-test=\"Q5\" data-model=\"gemini-3.6-flash\" style=\"border:1px solid #ccd7e2;border-top:5px solid #208052;border-radius:10px;background:#fff;min-width:0;overflow:hidden;padding:16px\"><div style=\"display:flex;justify-content:space-between;gap:10px;align-items:flex-start;flex-wrap:wrap\"><div><strong style=\"font-size:1.05em\">\u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0631\u0642\u0645 5: \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u0645\u0639 \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062a\u0641\u0627\u0636\u0644<\/strong><div style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0637\u0631\u0627\u0632:<\/strong> Gemini 3.6 \u0641\u0644\u0627\u0634 \u00b7 <strong>\u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631:<\/strong> 28 \u064a\u0648\u0644\u064a\u0648 2026<\/div><\/div><span aria-label=\"\u0627\u0644\u0646\u062a\u064a\u062c\u0629: \u0646\u0627\u062c\u062d\" style=\"display:inline-block;background:#e8f7ee;color:#12633b;border:1px solid #8fc9a7;border-radius:999px;padding:4px 9px;font-weight:700\">\u0627\u062c\u062a\u0627\u0632 \u00b7 20\/20<\/span><\/div><p style=\"font-size:.9em;color:#536273\"><strong>\u0627\u0644\u0642\u062f\u0631\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629:<\/strong> \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u00b7 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u00b7 \u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0639\u0643\u0633\u064a<\/p><h4 style=\"margin:16px 0 6px\">\u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a<\/h4><p style=\"overflow-wrap:anywhere\">\u0627\u0644\u0633\u0624\u0627\u0644 5 \u2014 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644: \u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u222b 2x*e^(x^2) dx. \u062d\u062f\u062f \u0627\u0633\u0645 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642.<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629 \/ \u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062a\u0635\u062d\u064a\u062d<\/h4><p style=\"overflow-wrap:anywhere\">e^(x\u00b2) + C \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 u = x\u00b2. \u064a\u062c\u0628 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u0627\u062a\u062c \u0644\u064a\u0635\u0628\u062d 2x \u00b7 e^(x\u00b2).<\/p><h4 style=\"margin:14px 0 6px\">\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0648\u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629<\/h4><p><strong>\u0627\u062c\u062a\u064a\u0627\u0632 \u00b7 20\/20<\/strong><\/p><ul><li>\u0627\u0644\u0635\u062d\u0629: 10\/10<\/li><li>\u062c\u0648\u062f\u0629 \u0627\u0644\u062e\u0637\u0648\u0627\u062a: 4\/4<\/li><li>\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629: 3\/3<\/li><li>\u0627\u0644\u062a\u062d\u0642\u0642\/\u0627\u0644\u0634\u0631\u0648\u0637: 3\/3<\/li><\/ul><p><strong>\u0645\u0627 \u062d\u062f\u062b<\/strong> \u0642\u0627\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 u=x\u00b2\u060c \u0648\u062a\u0643\u0627\u0645\u0644 e^u\u060c \u0648\u0625\u0639\u0627\u062f\u0629 x\u00b2\u060c \u062b\u0645 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0625\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/p><p><strong>\u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/strong> 17.45 \u062b\u0627\u0646\u064a\u0629 \u0644\u0644\u0637\u0644\u0628 \u0627\u0644\u0643\u0627\u0645\u0644 \u0627\u0644\u0645\u0643\u0648\u0646 \u0645\u0646 \u062e\u0645\u0633\u0629 \u0623\u0633\u0626\u0644\u0629.<\/p><p style=\"margin:14px 0 7px\"><strong>\u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0641\u0639\u0644\u064a\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c:<\/strong> \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0639\u0646 \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u064a\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0642\u062a\u0637\u0641\u064b\u0627 \u0645\u062d\u0631\u0631\u064b\u0627.<\/p><details class=\"model-output-details\"><summary aria-label=\"\u0639\u0631\u0636\/\u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0628\u0627\u0644\u0643\u0627\u0645\u0644\"><span class=\"output-show\">\u25b6 \u0639\u0631\u0636 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0643\u0627\u0645\u0644\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/span><span class=\"output-hide\">\u2212 \u0625\u062e\u0641\u0627\u0621 \u0645\u062e\u0631\u062c\u0627\u062a \u0627\u0644\u0646\u0645\u0648\u0630\u062c<\/span><\/summary><pre style=\"white-space:pre-wrap;overflow-wrap:anywhere;word-break:break-word;max-width:100%;overflow-x:auto;background:#f6f8fb;border:1px solid #e1e6ed;border-radius:7px;padding:12px;font:13px\/1.5 ui-monospace,SFMono-Regular,Consolas,monospace\">\u0627\u0644\u062e\u0637\u0648\u0627\u062a:\n1. \u0627\u062d\u0633\u0628 \u0642\u064a\u0645\u0629 $\\int 2x e^{x^2} \\, dx$ \u0639\u0644\u0649 \u0627\u0644\u0645\u062c\u0627\u0644 $x \\in (-\\infty, \\infty)$.\n2. \u0627\u0633\u0645 \u0627\u0644\u062a\u0639\u0648\u064a\u0636: \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0628\u0640 $u$ \u062d\u064a\u062b $u = x^2$.\n3. \u0627\u062d\u0633\u0628 \u0627\u0644\u0645\u0634\u062a\u0642\u0629: $du = 2x \\, dx$.\n4. \u0627\u0633\u062a\u0628\u062f\u0644 \u0641\u064a \u0627\u0644\u062a\u0643\u0627\u0645\u0644:\n   $$\\int 2x e^{x^2} \\, dx = \\int e^u \\, du = e^u + C$$\n5. \u0625\u0639\u0627\u062f\u0629 \u0627\u0644\u062a\u0639\u0648\u064a\u0636 \u0628\u0640 $u = x^2$:\n   $$e^{x^2} + C$$\n\n\u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629:\n$ e^{x^2} + C$  (\u0627\u0644\u062a\u0639\u0648\u064a\u0636: $ u = x^2$)\n\n\u0627\u0644\u062a\u062d\u0642\u0642:\n\u0623\u062c\u0631\u0650 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 $ x$ \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0633\u0644\u0633\u0644\u0629:\n$$\\frac{d}{dx}\\left(e^{x^2} + C\\right) = e^{x^2} \\cdot \\frac{d}{dx}(x^2) + 0 = 2x e^{x^2}$$\n\u0648\u0647\u0630\u0627 \u064a\u0639\u064a\u062f\u0646\u0627 \u0625\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/pre><\/details><\/article>\n<\/div>\n\n\n\n<p class=\"test-group-summary wp-block-paragraph\"><strong>\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u0644\u0627\u0635\u0647\u0627 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629:<\/strong> \u0642\u0627\u0645\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u062c\u0645\u064a\u0639\u0647\u0627 \u0628\u062a\u0639\u064a\u064a\u0646 u=x\u00b2\u060c \u0648\u062a\u0643\u0627\u0645\u0644 e^u\u060c \u0648\u0625\u0639\u0627\u062f\u0629 x\u00b2\u060c \u062b\u0645 \u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0645\u0631\u0629 \u0623\u062e\u0631\u0649 \u0625\u0644\u0649 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0648\u0636\u062d \u0647\u0630\u0647 \u0627\u0644\u0628\u0637\u0627\u0642\u0627\u062a \u0623\u0647\u0645\u064a\u0629 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0637\u0631\u0642 \u062d\u062a\u0649 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0635\u062d\u064a\u062d\u0629. \u0627\u0644\u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0645\u0635\u0627\u062d\u0628\u0629 \u0644\u0640 <a href=\"https:\/\/www.glbgpt.com\/hub\/can-chatgpt-do-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0645\u0627 \u0627\u0644\u0630\u064a \u0623\u0635\u0627\u0628 \u0641\u064a\u0647 \u0645\u0646\u0647\u062c ChatGPT \u0648\u0645\u0627 \u0627\u0644\u0630\u064a \u0623\u062e\u0637\u0623 \u0641\u064a\u0647 \u0641\u064a \u0645\u0627\u062f\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/a> \u064a\u0648\u0636\u062d \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u0642\u062f \u064a\u0641\u0648\u062a \u0641\u064a\u0647\u0627 \u0627\u0644\u062a\u0642\u064a\u064a\u0645 \u0627\u0644\u0642\u0627\u0626\u0645 \u0639\u0644\u0649 \u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a \u0641\u0642\u0637 \u0639\u0645\u0644\u064a\u0629 \u0636\u0639\u064a\u0641\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u064f\u0639\u062f \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u062c\u0630\u0648\u0631 \u0627\u0644\u062f\u062e\u064a\u0644\u0629 \u0623\u062d\u062f \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0639\u0644\u0649 \u0646\u0645\u0637 \u0641\u0634\u0644 \u0623\u0648\u0633\u0639 \u0646\u0637\u0627\u0642\u064b\u0627. \u0627\u0646\u0638\u0631 <a href=\"https:\/\/www.glbgpt.com\/hub\/why-is-chatgpt-so-bad-at-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0644\u0645\u0627\u0630\u0627 \u0642\u062f \u064a\u0641\u0634\u0644 \u0627\u0644\u0637\u0627\u0644\u0628 \u0627\u0644\u0630\u064a \u064a\u062a\u0628\u0639 \u0646\u0638\u0627\u0645 ChatGPT \u0641\u064a \u0645\u0627\u062f\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/a> \u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0624\u062f\u064a \u0641\u064a\u0647\u0627 \u0627\u0644\u0634\u0631\u0648\u0637 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0625\u0644\u0649 \u062a\u063a\u064a\u064a\u0631 \u0627\u0644\u0646\u062a\u064a\u062c\u0629.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"choose\">\u0645\u0627 \u0647\u0648 \u0628\u0631\u0646\u0627\u0645\u062c \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0628\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0627\u0644\u0630\u064a \u064a\u0646\u0628\u063a\u064a \u0639\u0644\u064a\u0643 \u0627\u062e\u062a\u064a\u0627\u0631\u0647\u061f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u062e\u062a\u0631 GPT-5.6 Sol \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062d\u0644\u0648\u0644 \u0645\u0639\u062f\u0629 \u0628\u0639\u0646\u0627\u064a\u0629 \u0641\u0627\u0626\u0642\u0629<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0642\u062f\u0645\u062a GPT-5.6 Sol \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0623\u0637\u0648\u0644 \u0648\u0627\u0644\u0623\u0643\u062b\u0631 \u062a\u0642\u0633\u064a\u0645\u064b\u0627 \u0628\u0634\u0643\u0644 \u0648\u0627\u0636\u062d \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062c\u0648\u0644\u0629. \u0648\u0647\u064a \u062e\u064a\u0627\u0631 \u0645\u0646\u0627\u0633\u0628 \u0639\u0646\u062f\u0645\u0627 \u062a\u0631\u063a\u0628 \u0641\u064a \u0643\u062a\u0627\u0628\u0629 \u0643\u0644 \u0639\u0645\u0644\u064a\u0629 \u062a\u062d\u0648\u064a\u0644 \u0648\u0634\u0631\u0637 \u0639\u0645\u0644\u064a\u0629 \u062a\u062d\u0642\u0642 \u0628\u0634\u0643\u0644 \u0645\u0641\u0635\u0644. \u0648\u0643\u0627\u0646\u062a \u0627\u0644\u0623\u0628\u0637\u0623 \u0628\u064a\u0646 \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0637\u0644\u0628 \u0627\u0644\u0641\u0631\u062f\u064a\u060c \u0644\u0630\u0627 \u064a\u0646\u0628\u063a\u064a \u0644\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0627\u0644\u0630\u064a\u0646 \u064a\u0647\u062a\u0645\u0648\u0646 \u0628\u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u062e\u062a\u0628\u0627\u0631\u0647\u0627 \u0639\u0644\u0649 \u0623\u062d\u0645\u0627\u0644 \u0627\u0644\u0639\u0645\u0644 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0647\u0645.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u062e\u062a\u0631 \u0643\u062a\u0627\u0628 \u00abClaude Opus 5\u00bb \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0634\u0631\u0648\u062d\u0627\u062a \u0645\u0648\u062c\u0632\u0629 \u0644\u0643\u0646\u0647\u0627 \u062f\u0642\u064a\u0642\u0629<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u062d\u0642\u0642 \u0627\u0644\u0646\u0645\u0648\u0630\u062c Claude Opus 5 \u062c\u0645\u064a\u0639 \u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a \u0627\u0644\u0635\u062d\u064a\u062d\u0629 \u0628\u0641\u0636\u0644 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u0645\u0648\u062c\u0632 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u062f\u0642\u064a\u0642 \u0645\u0646 \u0627\u0644\u0634\u0631\u0648\u0637. \u0648\u0643\u0627\u0646 \u0632\u0645\u0646 \u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API) \u0642\u0631\u064a\u0628\u064b\u0627 \u0645\u0646 \u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0644\u0644\u0646\u0645\u0648\u0630\u062c Gemini \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062c\u0648\u0644\u0629. \u0648\u0642\u062f \u0623\u062b\u0631\u062a \u0645\u0634\u0643\u0644\u0629 \u0641\u0646\u064a\u0629 \u0641\u064a \u0627\u0644\u062a\u0631\u0645\u064a\u0632 \u0639\u0644\u0649 \u0628\u0639\u0636 \u0627\u0644\u0631\u0645\u0648\u0632 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0641\u064a \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0627\u0644\u0645\u062d\u0641\u0648\u0638\u0629\u061b \u0625\u0644\u0627 \u0623\u0646 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0648\u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a \u0638\u0644\u062a \u0648\u0627\u0636\u062d\u0629 \u0648\u0635\u062d\u064a\u062d\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0627\u062e\u062a\u0631 Gemini 3.6 Flash \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0633\u062a\u062c\u0627\u0628\u0627\u062a \u0633\u0631\u064a\u0639\u0629 \u0648\u0634\u0627\u0645\u0644\u0629<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0643\u0627\u0646 \u0627\u0644\u0637\u0631\u0627\u0632 Gemini 3.6 Flash \u0623\u0633\u0631\u0639 \u0637\u0631\u0627\u0632 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u062a\u064a \u0623\u064f\u062c\u0631\u064a\u062a \u0641\u064a \u062c\u0648\u0644\u0629 \u0648\u0627\u062d\u062f\u0629\u060c \u0645\u0639 \u0627\u062d\u062a\u0648\u0627\u0626\u0647 \u0641\u064a \u0627\u0644\u0648\u0642\u062a \u0646\u0641\u0633\u0647 \u0639\u0644\u0649 \u062c\u0645\u064a\u0639 \u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629. \u0648\u0647\u0630\u0627 \u064a\u062c\u0639\u0644\u0647 \u0627\u0644\u062e\u064a\u0627\u0631 \u0627\u0644\u0623\u0648\u0644 \u0627\u0644\u0639\u0645\u0644\u064a \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0641\u062d\u0648\u0635\u0627\u062a \u0627\u0644\u0633\u0631\u064a\u0639\u0629\u060c \u0644\u0643\u0646 \u0627\u0644\u0641\u0627\u0631\u0642 \u0627\u0644\u0628\u0627\u0644\u063a 0.44 \u062b\u0627\u0646\u064a\u0629 \u0639\u0646 \u0627\u0644\u0637\u0631\u0627\u0632 Claude \u0636\u0626\u064a\u0644 \u062c\u062f\u064b\u0651\u0627 \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u0639\u062a\u0628\u0627\u0631\u0647 \u0645\u064a\u0632\u0629 \u0633\u0631\u0639\u0629 \u062f\u0627\u0626\u0645\u0629.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0644\u0644\u0627\u0637\u0644\u0627\u0639 \u0639\u0644\u0649 \u0642\u0631\u0627\u0631 \u062e\u0627\u0635 \u0628\u0640 OpenAI\u060c \u0627\u0646\u0638\u0631 <a href=\"https:\/\/www.glbgpt.com\/hub\/which-chatgpt-model-is-best-for-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0645\u0627 \u0647\u0648 \u0637\u0631\u0627\u0632 ChatGPT \u0627\u0644\u0623\u0641\u0636\u0644 \u0644\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u061f<\/a>. \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0633\u064a\u0631 \u0639\u0645\u0644 \u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a\u060c \u0641\u0625\u0646 <a href=\"https:\/\/www.glbgpt.com\/hub\/how-to-use-chatgpt-for-homework\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0633\u064a\u0631 \u0639\u0645\u0644 \u0627\u0644\u0648\u0627\u062c\u0628\u0627\u062a \u0627\u0644\u0645\u0646\u0632\u0644\u064a\u0629 \u0644\u0640 ChatGPT<\/a> \u064a\u0648\u0636\u062d \u0643\u064a\u0641\u064a\u0629 \u0637\u0644\u0628 \u062a\u0648\u0636\u064a\u062d\u0627\u062a \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0627\u0644\u0627\u0643\u062a\u0641\u0627\u0621 \u0628\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a \u0641\u0642\u0637.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"globalgpt-math-solver\">\u0637\u0631\u064a\u0642\u0629 \u0623\u0628\u0633\u0637 \u0644\u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0625\u062c\u0627\u0628\u0627\u062a\u0647\u0627 \u0641\u064a GlobalGPT<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0625\u0630\u0627 \u0643\u0646\u062a \u062a\u0631\u063a\u0628 \u0641\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u0627\u062c\u0647\u0629 \u0645\u062e\u0635\u0635\u0629 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u0625\u0646\u0634\u0627\u0621 \u0637\u0644\u0628\u0627\u062a \u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API)\u060c \u0641\u0625\u0646 <a href=\"https:\/\/www.glbgpt.com\/features\/ai-math-solver\" target=\"_blank\" rel=\"noreferrer noopener\">GlobalGPT AI Math Solver<\/a> \u064a\u062a\u064a\u062d \u0644\u0643 \u0643\u062a\u0627\u0628\u0629 \u0645\u0633\u0623\u0644\u0629 \u0623\u0648 \u062a\u062d\u0645\u064a\u0644 \u0635\u0648\u0631\u0629 \u0648\u0637\u0644\u0628 \u0634\u0631\u062d \u062a\u0641\u0635\u064a\u0644\u064a \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0641\u064a \u0645\u0643\u0627\u0646 \u0648\u0627\u062d\u062f. \u0627\u0633\u062a\u062e\u062f\u0645\u0647 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062d\u0644 \u0645\u0641\u0635\u0644\u060c \u062b\u0645 \u0627\u0637\u0644\u0628 \u062e\u0637\u0648\u0629 \u0644\u0644\u062a\u062d\u0642\u0642 \u0642\u0628\u0644 \u0627\u0644\u0627\u0639\u062a\u0645\u0627\u062f \u0639\u0644\u0649 \u0627\u0644\u0625\u062c\u0627\u0628\u0629.<\/p>\n\n\n\n<div class=\"glb-math-cta\" style=\"border:1px solid #f0c45a;background:#fff8e6;border-radius:10px;padding:18px;margin:22px 0;text-align:center\"><strong>\u062c\u0631\u0628 \u0623\u062f\u0627\u0629 \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0628\u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a GlobalGPT<\/strong><p>\u0623\u062f\u062e\u0644 \u0645\u0633\u0623\u0644\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u0623\u0648 \u0642\u0645 \u0628\u062a\u062d\u0645\u064a\u0644\u0647\u0627\u060c \u0648\u0631\u0627\u062c\u0639 \u0627\u0644\u062e\u0637\u0648\u0627\u062a\u060c \u0648\u0627\u0637\u0644\u0628 \u0645\u0646 \u0623\u062f\u0627\u0629 \u0627\u0644\u062d\u0644 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629.<\/p><p><a href=\"https:\/\/www.glbgpt.com\/features\/ai-math-solver\" target=\"_blank\" rel=\"noreferrer noopener\" style=\"display:inline-block;background:#fec33a;color:#17202a;text-decoration:none;border-radius:7px;padding:11px 18px;font-weight:700\">\u0628\u0631\u0646\u0627\u0645\u062c \u00abOpen AI Math Solver\u00bb \u0644\u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629<\/a><\/p><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"better-results\">\u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u0623\u0641\u0636\u0644 \u0645\u0646 \u0623\u064a \u0623\u062f\u0627\u0629 \u062d\u0644 \u0631\u064a\u0627\u0636\u064a\u0627\u062a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u0639\u062a\u0645\u062f \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0623\u0641\u0636\u0644 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0645\u0646 \u0628\u0631\u0646\u0627\u0645\u062c \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0644\u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0637\u0631\u062d\u0643 \u0644\u0644\u0633\u0624\u0627\u0644. \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062d\u062f\u062b \u0627\u0644\u0645\u0637\u0627\u0644\u0628\u0629 \u0627\u0644\u0648\u0627\u0636\u062d\u0629 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u0625\u062c\u0627\u0628\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0648\u0627\u0644\u062d\u0644 \u0627\u0644\u0645\u0641\u064a\u062f \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>\u0644\u0644\u062d\u0644:<\/strong> \u201c\u062d\u0644 \u0647\u0630\u0647 \u0627\u0644\u0645\u0633\u0623\u0644\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0648\u0634\u0631\u062d \u0643\u0644 \u0639\u0645\u0644\u064a\u0629 \u062a\u062d\u0648\u064a\u0644.\u201d<\/li><li><strong>\u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0639\u0645\u0644:<\/strong> \u201c\u0627\u0639\u062b\u0631 \u0639\u0644\u0649 \u0623\u0648\u0644 \u062e\u0637\u0648\u0629 \u062e\u0627\u0637\u0626\u0629 \u0642\u0645\u062a \u0628\u0647\u0627 \u0648\u0634\u0631\u062d \u0633\u0628\u0628 \u0641\u0634\u0644\u0647\u0627.\u201d<\/li><li><strong>\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0634\u0631\u0648\u0637:<\/strong> \u201c\u062d\u062f\u062f \u0627\u0644\u0645\u062c\u0627\u0644 \u0648\u0627\u062e\u062a\u0628\u0631 \u0643\u0644 \u0642\u064a\u0645\u0629 \u0645\u0631\u0634\u062d\u0629 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.\u201d<\/li><li><strong>\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0641\u0627\u0636\u0644 \u0648\u0627\u0644\u062a\u0643\u0627\u0645\u0644:<\/strong> \u201c\u062d\u062f\u062f \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0648\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642.\u201d<\/li><li><strong>\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0643\u0644\u0627\u0645\u064a\u0629:<\/strong> \u201c\u062d\u062f\u062f \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0648\u0627\u0643\u062a\u0628 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0642\u0628\u0644 \u062d\u0644\u0647\u0627.\u201d<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">\u0642\u0628\u0644 \u0627\u0644\u0648\u062b\u0648\u0642 \u0628\u0625\u062c\u0627\u0628\u0629 \u0645\u0639\u0642\u062f\u0629\u060c \u0642\u0627\u0631\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u0629 \u0628\u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u0627\u062a \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u2014 \u0648\u0644\u064a\u0633 \u0645\u062c\u0631\u062f \u0627\u0644\u0631\u0642\u0645 \u0627\u0644\u0646\u0647\u0627\u0626\u064a \u0644\u0646\u0645\u0648\u0630\u062c \u0622\u062e\u0631. \u0627\u0644\u0640 <a href=\"https:\/\/www.glbgpt.com\/hub\/is-chatgpt-good-at-math\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u0645\u0631\u0627\u062c\u0639\u0629 \u062f\u0642\u0629 ChatGPT \u0641\u064a \u0645\u0627\u062f\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/a> \u064a\u0642\u062f\u0645 \u0645\u0639\u0627\u064a\u064a\u0631 \u062a\u062f\u0642\u064a\u0642 \u0623\u0643\u062b\u0631 \u0639\u0645\u0644\u064a\u0629.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"faq\">\u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u0645\u062a\u062f\u0627\u0648\u0644\u0629<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u0645\u0627 \u0647\u0648 \u0623\u0641\u0636\u0644 \u0628\u0631\u0646\u0627\u0645\u062c \u062d\u0644\u0651 \u0644\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u062d\u0642\u0642\u062a \u0637\u0631\u0632 GPT-5.6 Sol \u0648Claude Opus 5 \u0648Gemini 3.6 Flash \u062a\u0639\u0627\u062f\u0644\u0627\u064b \u0628\u0646\u062a\u064a\u062c\u0629 5\/5 \u0641\u064a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0630\u064a \u0623\u064f\u062c\u0631\u064a \u0641\u064a 28 \u064a\u0648\u0644\u064a\u0648 2026. \u0648\u0633\u062c\u0644\u062a \u0637\u0631\u0627\u0632 Gemini \u0623\u0633\u0631\u0639 \u0648\u0642\u062a \u0641\u064a \u0627\u0644\u062c\u0648\u0644\u0629 \u0627\u0644\u0641\u0631\u062f\u064a\u0629\u060c \u0644\u0643\u0646 \u0627\u0644\u0639\u064a\u0646\u0629 \u0635\u063a\u064a\u0631\u0629 \u062c\u062f\u064b\u0651\u0627 \u0628\u062d\u064a\u062b \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u0641\u0627\u0626\u0632 \u0639\u0627\u0645 \u0645\u0646 \u062d\u064a\u062b \u0627\u0644\u062f\u0642\u0629 \u0623\u0648 \u0627\u0644\u0633\u0631\u0639\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0623\u064a \u0637\u0631\u0627\u0632 \u0643\u0627\u0646 \u0627\u0644\u0623\u0633\u0631\u0639\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0633\u062a\u063a\u0631\u0642 Gemini 3.6 Flash 17.45 \u062b\u0627\u0646\u064a\u0629\u060c \u0648Claude Opus 5 17.89 \u062b\u0627\u0646\u064a\u0629\u060c \u0648GPT-5.6 Sol 32.85 \u062b\u0627\u0646\u064a\u0629. \u0648\u0647\u0630\u0647 \u0642\u064a\u0627\u0633\u0627\u062a API \u0644\u0645\u0631\u0629 \u0648\u0627\u062d\u062f\u0629\u060c \u0648\u0644\u064a\u0633\u062a \u0645\u0639\u0627\u064a\u064a\u0631 \u0642\u064a\u0627\u0633 \u0632\u0645\u0646 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u0649 \u0627\u0644\u0637\u0648\u064a\u0644.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0647\u0644 \u064a\u0645\u0643\u0646 \u0644\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0643\u0644\u0627\u0645\u064a\u0629 \u0628\u062f\u0642\u0629\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0639\u0645\u060c \u0644\u0643\u0646 \u0627\u0637\u0644\u0628 \u0645\u0646 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a\u060c \u0648\u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a\u060c \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u0629. \u0648\u0642\u062f \u0646\u062c\u062d\u062a \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0627\u0644\u062a\u064a \u062a\u0645 \u0627\u062e\u062a\u0628\u0627\u0631\u0647\u0627 \u0641\u064a \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0643\u0644\u0627\u0645\u064a\u0629 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0648\u0627\u0644\u0646\u0633\u0628 \u0627\u0644\u0645\u0626\u0648\u064a\u0629 \u0628\u0634\u0643\u0644 \u0635\u062d\u064a\u062d \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0647\u0644 \u064a\u0645\u0643\u0646 \u0644\u0628\u0631\u0646\u0627\u0645\u062c \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0642\u0627\u0626\u0645 \u0639\u0644\u0649 \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0623\u0646 \u064a\u062d\u062a\u0641\u0638 \u0628\u0625\u062c\u0627\u0628\u0629 \u063a\u064a\u0631 \u0635\u062d\u064a\u062d\u0629\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0639\u0645. \u0642\u062f \u064a\u0624\u062f\u064a \u0631\u0641\u0639 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0625\u0644\u0649 \u0627\u0644\u062a\u0631\u0628\u064a\u0639 \u0623\u0648 \u0627\u0644\u0642\u0633\u0645\u0629 \u0639\u0644\u0649 \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u0645\u062a\u063a\u064a\u0631\u0629 \u0625\u0644\u0649 \u0638\u0647\u0648\u0631 \u062d\u0627\u0644\u0627\u062a \u063a\u064a\u0631 \u0635\u062d\u064a\u062d\u0629 \u0623\u0648 \u0625\u062e\u0641\u0627\u0626\u0647\u0627. \u0627\u0637\u0644\u0628 \u0645\u0646 \u0623\u062f\u0627\u0629 \u0627\u0644\u062d\u0644 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0634\u0631\u0648\u0637 \u0648\u0627\u062e\u062a\u0628\u0627\u0631 \u0643\u0644 \u0627\u0644\u062d\u0644\u0648\u0644 \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0641\u064a \u0627\u0644\u0645\u0633\u0623\u0644\u0629 \u0627\u0644\u0623\u0635\u0644\u064a\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0647\u0644 \u064a\u0645\u0643\u0646 \u0644\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0645\u0643\u062a\u0648\u0628\u0629 \u0628\u062e\u0637 \u0627\u0644\u064a\u062f\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u064a\u0645\u0643\u0646 \u0644\u0623\u062f\u0648\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0645\u062a\u0639\u062f\u062f\u0629 \u0627\u0644\u0648\u0633\u0627\u0626\u0637 \u0642\u0628\u0648\u0644 \u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a \u0641\u064a \u0634\u0643\u0644 \u0635\u0648\u0631\u060c \u0644\u0643\u0646 \u0644\u0645 \u064a\u062a\u0645 \u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u064a\u0632\u0629 \u0627\u0644\u062a\u0639\u0631\u0641 \u0639\u0644\u0649 \u0627\u0644\u0643\u062a\u0627\u0628\u0629 \u0627\u0644\u064a\u062f\u0648\u064a\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0634\u063a\u064a\u0644 \u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API) \u0627\u0644\u0645\u062e\u0635\u0635\u0629 \u0644\u0644\u0646\u0635\u0648\u0635 \u0641\u0642\u0637 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0647\u0646\u0627. \u062a\u062f\u0639\u0645 \u0635\u0641\u062d\u0629 \u00abGlobalGPT Math Solver\u00bb \u062a\u062d\u0645\u064a\u0644 \u0635\u0648\u0631\u0629 \u0644\u0645\u0633\u0623\u0644\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0645\u0633\u0627\u0639\u062f\u0629 \u062a\u0641\u0635\u064a\u0644\u064a\u0629 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0647\u0644 \u064a\u0645\u0643\u0646\u0646\u064a \u0627\u0633\u062a\u062e\u062f\u0627\u0645 GlobalGPT \u0644\u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0646\u0639\u0645. \u064a\u0648\u0641\u0631 \u00abGlobalGPT AI Math Solver\u00bb \u0645\u0646\u0635\u0629 \u0645\u062e\u0635\u0635\u0629 \u0644\u0643\u062a\u0627\u0628\u0629 \u0623\u0648 \u062a\u062d\u0645\u064a\u0644 \u0645\u0633\u0623\u0644\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u0648\u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0634\u0631\u062d \u062a\u0641\u0635\u064a\u0644\u064a \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u064a\u0646\u0628\u063a\u064a \u0639\u0644\u064a\u0643 \u0645\u0631\u0627\u062c\u0639\u0629 \u0627\u0644\u0634\u0631\u0648\u0637 \u0648\u0637\u0644\u0628 \u062e\u0637\u0648\u0629 \u0627\u0644\u062a\u062d\u0642\u0642.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u0647\u0644 \u0643\u0627\u0646 \u0647\u0630\u0627 \u0627\u062e\u062a\u0628\u0627\u0631\u064b\u0627 \u0645\u062f\u0641\u0648\u0639 \u0627\u0644\u0623\u062c\u0631 \u0648\u0642\u0627\u0628\u0644\u064b\u0627 \u0644\u0644\u062a\u0643\u0631\u0627\u0631\u061f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u062a\u0635\u0627\u0644\u0627\u064b \u0645\u0639\u062a\u0645\u062f\u064b\u0627 \u0628\u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a (API) \u0641\u064a 28 \u064a\u0648\u0644\u064a\u0648 2026\u060c \u0648\u0627\u0633\u062a\u0647\u0644\u0643 \u0642\u062f\u0631\u064b\u0627 \u0645\u0639\u0642\u0648\u0644\u0627\u064b \u0645\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0648\u0627\u062c\u0647\u0629 \u0628\u0631\u0645\u062c\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a. \u0648\u062a\u0644\u0642\u0649 \u0643\u0644 \u0646\u0645\u0648\u0630\u062c \u0646\u0641\u0633 \u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u062e\u0645\u0633\u0629 \u0648\u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0641\u064a \u0637\u0644\u0628 \u0648\u0627\u062d\u062f\u061b \u0648\u0644\u0645 \u064a\u062a\u0645 \u062a\u0648\u0641\u064a\u0631 \u0623\u064a \u0625\u0639\u062f\u0627\u062f\u0627\u062a \u0623\u062e\u0630 \u0639\u064a\u0646\u0627\u062a \u062e\u0627\u0635\u0629 \u0628\u0643\u0644 \u0646\u0645\u0648\u0630\u062c.<\/p>\n\n\n\n<script type=\"application\/ld+json\">{\n    \"@context\": \"https:\\\/\\\/schema.org\",\n    \"@type\": \"FAQPage\",\n    \"mainEntity\": [\n        {\n            \"@type\": \"Question\",\n            \"name\": \"What is the best AI math solver in this test?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"GPT-5.6 Sol, Claude Opus 5, and Gemini 3.6 Flash tied at 5\\\/5 on the July 28, 2026 test. Gemini returned fastest in the single run, but the sample is too small to declare a universal accuracy or speed winner.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Which model was fastest?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Gemini 3.6 Flash returned in 17.45 seconds, Claude Opus 5 in 17.89 seconds, and GPT-5.6 Sol in 32.85 seconds. These are one-run API measurements, not long-term latency benchmarks.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can AI solve word problems accurately?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Yes, but ask the model to define variables, form equations, and verify the result. All three tested models solved the geometry and percentage word problems correctly in this test.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can an AI math solver keep an invalid answer?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Yes. Squaring equations and dividing by variable expressions can introduce or hide invalid cases. Ask the solver to state conditions and test every candidate in the original problem.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can AI read handwritten math problems?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Multimodal math tools can accept image input, but handwriting recognition was not tested through the text-only API run described here. The GlobalGPT Math Solver page supports uploading a math-problem image for step-by-step help.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Can I use GlobalGPT for math problems?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"Yes. The GlobalGPT AI Math Solver provides a focused place to type or upload a problem and receive a step-by-step explanation. You should still review the conditions and request a verification step.\"\n            }\n        },\n        {\n            \"@type\": \"Question\",\n            \"name\": \"Was this a paid, reproducible test?\",\n            \"acceptedAnswer\": {\n                \"@type\": \"Answer\",\n                \"text\": \"The test used an authorized API connection on July 28, 2026 and consumed a reasonable amount of API usage. Each model received the same five questions and instructions in one request; no model-specific sampling settings were supplied.\"\n            }\n        }\n    ]\n}<\/script>","protected":false},"excerpt":{"rendered":"<p>Fresh test, July 28, 2026: We ran the same five-problem math test through GPT-5.6 Sol, Claude Opus 5, and Gemini 3.6 Flash using one OpenAI-compatible API workflow. All three solved all five questions correctly and verified their answers. The meaningful differences in this small test were response style and single-run latency\u2014not correctness. Quick answer: There [&hellip;]<\/p>","protected":false},"author":7,"featured_media":13093,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"Best AI Math Solver (2026): Tested Tools for Accurate Results","_seopress_titles_desc":"We tested GPT-5.6 Sol, Claude Opus 5, and Gemini 3.6 Flash on five math problems. Compare accuracy, steps, verification, and real API latency.","_seopress_robots_index":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-13041","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ai-chat"],"_links":{"self":[{"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/posts\/13041","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/comments?post=13041"}],"version-history":[{"count":18,"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/posts\/13041\/revisions"}],"predecessor-version":[{"id":17341,"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/posts\/13041\/revisions\/17341"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/media\/13093"}],"wp:attachment":[{"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/media?parent=13041"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/categories?post=13041"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.glbgpt.com\/ar\/wp-json\/wp\/v2\/tags?post=13041"}],"curies":[{"name":"\u062f\u0628\u0644\u064a\u0648 \u0628\u064a","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}