mathfusion_backup.sql

-- MySQL dump 10.13  Distrib 8.3.0, for Win64 (x86_64)
--
-- Host: thweb.cxoeka4ie01h.ap-northeast-2.rds.amazonaws.com    Database: THwebDB
-- ------------------------------------------------------
-- Server version	8.0.42

/*!40101 SET @OLD_CHARACTER_SET_CLIENT=@@CHARACTER_SET_CLIENT */;
/*!40101 SET @OLD_CHARACTER_SET_RESULTS=@@CHARACTER_SET_RESULTS */;
/*!40101 SET @OLD_COLLATION_CONNECTION=@@COLLATION_CONNECTION */;
/*!50503 SET NAMES utf8mb4 */;
/*!40103 SET @OLD_TIME_ZONE=@@TIME_ZONE */;
/*!40103 SET TIME_ZONE='+00:00' */;
/*!40014 SET @OLD_UNIQUE_CHECKS=@@UNIQUE_CHECKS, UNIQUE_CHECKS=0 */;
/*!40014 SET @OLD_FOREIGN_KEY_CHECKS=@@FOREIGN_KEY_CHECKS, FOREIGN_KEY_CHECKS=0 */;
/*!40101 SET @OLD_SQL_MODE=@@SQL_MODE, SQL_MODE='NO_AUTO_VALUE_ON_ZERO' */;
/*!40111 SET @OLD_SQL_NOTES=@@SQL_NOTES, SQL_NOTES=0 */;

--
-- Table structure for table `email_verifications`
--

DROP TABLE IF EXISTS `email_verifications`;
/*!40101 SET @saved_cs_client     = @@character_set_client */;
/*!50503 SET character_set_client = utf8mb4 */;
CREATE TABLE `email_verifications` (
  `id` bigint NOT NULL AUTO_INCREMENT,
  `code` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci NOT NULL,
  `email` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci NOT NULL,
  `expired_time` datetime(6) NOT NULL,
  `verified` bit(1) NOT NULL,
  PRIMARY KEY (`id`)
) ENGINE=InnoDB AUTO_INCREMENT=76 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_unicode_ci;
/*!40101 SET character_set_client = @saved_cs_client */;

--
-- Dumping data for table `email_verifications`
--

LOCK TABLES `email_verifications` WRITE;
/*!40000 ALTER TABLE `email_verifications` DISABLE KEYS */;
INSERT INTO `email_verifications` VALUES (3,'97dce1','orvosdoktor21@gmail.com','2025-08-21 16:17:42.064532',_binary '\0'),(4,'8130e2','orvosdoktor21@gmail.com','2025-08-22 18:05:46.056836',_binary '
'),(5,'7369a8','orvosdoktor21@gmail.com','2025-08-22 18:12:37.930948',_binary '
'),(6,'32506a','orvosdoktor21@gmail.com','2025-08-22 18:14:33.114729',_binary '
'),(7,'708ba5','orvosdoktor21@gmail.com','2025-08-22 22:20:52.031716',_binary '\0'),(8,'801c43','orvosdoktor21@gmail.com','2025-08-22 22:43:49.027624',_binary '\0'),(9,'265967','orvosdoktor21@gmail.com','2025-08-22 23:16:19.383186',_binary '\0'),(10,'fbe6bc','orvosdoktor21@gmail.com','2025-08-22 23:23:36.494729',_binary '\0'),(11,'9fc2b3','orvosdoktor21@gmail.com','2025-08-24 01:00:00.235028',_binary '\0'),(12,'bbcea7','orvosdoktor21@gmail.com','2025-08-24 01:13:38.655305',_binary '\0'),(13,'27e7c9','orvosdoktor21@gmail.com','2025-08-24 11:14:13.949191',_binary '\0'),(14,'4d9b17','orvosdoktor21@gmail.com','2025-08-24 11:17:29.103412',_binary '\0'),(15,'bbeb01','technarchitect@gmail.com','2025-08-24 14:54:18.048074',_binary '
'),(16,'dd609a','orvosdoktor21@gmail.com','2025-08-24 15:09:35.063126',_binary '\0'),(17,'d827cd','orvosdoktor21@gmail.com','2025-08-24 15:33:32.918212',_binary '\0'),(18,'634f89','orvosdoktor21@gmail.com','2025-08-24 15:39:06.015399',_binary '\0'),(19,'6c7c9a','technarchitect@gmail.com','2025-08-24 18:00:21.509660',_binary '\0'),(20,'c69c2c','tnwjd3758@naver.com','2025-08-24 20:40:59.506115',_binary '
'),(21,'7f5a11','tnwjd3758@naver.com','2025-08-24 23:14:59.629449',_binary '
'),(22,'43fbaa','tnwjd3758@naver.com','2025-08-25 02:08:16.119217',_binary '
'),(23,'699e7b','orvosdoktor21@gmail.com','2025-08-25 11:44:39.141495',_binary '\0'),(24,'379360','orvosdoktor21@gmail.com','2025-08-25 11:55:37.137963',_binary '
'),(25,'1cde88','orvosdoktor21@naver.com','2025-08-25 12:33:46.654304',_binary '
'),(26,'055571','orvosdoktor21@naver.com','2025-08-25 14:02:14.043707',_binary '
'),(27,'6c05dc','orvosdoktor21@naver.com','2025-08-25 14:12:45.873587',_binary '
'),(28,'9b7ce5','orvosdoktor21@gmail.com','2025-08-25 15:08:53.440115',_binary '
'),(29,'0fc832','orvosdoktor21@gmail.com','2025-08-25 15:22:50.291189',_binary '
'),(30,'63bbdc','orvosdoktor21@gmail.com','2025-08-25 15:58:38.555847',_binary '
'),(31,'3aeb79','orvosdoktor21@gmail.com','2025-08-25 16:12:54.330455',_binary '
'),(32,'dbe94d','orvosdoktor21@gmail.com','2025-08-25 19:16:37.371743',_binary '
'),(33,'490bc7','gywjd0553@naver.com','2025-08-25 19:19:04.900857',_binary '
'),(34,'24b990','orvosdoktor21@gmail.com','2025-08-25 19:45:06.430282',_binary '
'),(35,'6d881f','orvosdoktor21@gmail.com','2025-08-25 20:13:27.983996',_binary '
'),(36,'ff4ff5','gywjd7180@gmail.com','2025-08-25 20:22:37.724655',_binary '
'),(37,'0d17f3','technarchitect@gmail.com','2025-08-25 20:37:13.363945',_binary '
'),(38,'8a673e','orvosdoktor21@gmail.com','2025-08-25 23:05:31.080392',_binary '
'),(39,'003049','orvosdoktor21@gmail.com','2025-08-27 17:20:59.223147',_binary '
'),(40,'227602','jakethedog28@naver.com','2025-08-27 23:40:32.888001',_binary '
'),(41,'259a1a','jakethedog28@naver.com','2025-08-28 00:02:58.683960',_binary '
'),(42,'7fce00','tnwjd3758@naver.com','2025-08-28 02:10:21.496740',_binary '
'),(43,'bea45c','tnwjd3758@naver.com','2025-08-28 02:11:32.480609',_binary '
'),(44,'4b9de3','tnwjd3758@naver.com','2025-08-28 02:14:24.534926',_binary '
'),(45,'5e32b4','tnwjd3758@naver.com','2025-08-28 02:16:04.391015',_binary '
'),(46,'132157','tnwjd3758@naver.com','2025-08-28 02:17:54.680190',_binary '
'),(47,'37fc8c','tnwjd3758@duksung.ac.kr','2025-08-28 02:19:53.146869',_binary '
'),(48,'59d24a','tnwjd3758@duksung.ac.kr','2025-08-28 03:52:38.917371',_binary '
'),(50,'ec5fa6','hanguk0508@naver.com','2025-08-28 13:01:37.520458',_binary '
'),(51,'4e4209','tnwjd3758@naver.com','2025-08-28 14:25:38.240041',_binary '
'),(52,'285189','tnwjd3758@naver.com','2025-08-28 15:29:30.515071',_binary '
'),(55,'91e618','tnwjd3758@naver.com','2025-08-28 15:35:31.165131',_binary '
'),(56,'27acaf','orvosdoktor21@gmail.com','2025-09-25 23:41:22.161058',_binary '
'),(57,'c2ec8f','orvosdoktor21@gmail.com','2025-09-26 00:11:41.471649',_binary '\0'),(58,'cc577f','orvosdoktor21@naver.com','2025-09-26 00:41:34.758183',_binary '\0'),(59,'a0eebe','orvosdoktor21@naver.com','2025-09-26 00:53:58.088665',_binary '
'),(60,'c7bdd1','tnwjd3758@naver.com','2025-09-26 00:55:36.898253',_binary '
'),(61,'01583e','orvosdoktor21@naver.com','2025-09-26 01:11:55.698935',_binary '
'),(62,'da9d81','orvosdoktor21@naver.com','2025-09-26 01:17:29.791486',_binary '
'),(64,'f5a275','tnwjd3758@naver.com','2025-09-26 01:54:49.248664',_binary '\0'),(65,'0d82ad','tnwjd3758@naver.com','2025-09-26 16:07:03.091552',_binary '
'),(66,'c34f80','tnwjd3333@ddd,,.x','2025-09-28 17:29:20.309673',_binary '\0'),(67,'05fd2c','20220779@duksung.ac.kr','2025-09-29 09:24:52.706670',_binary '
'),(69,'f2d3ca','orvosdoktor21@gmail.com','2025-09-30 15:30:31.545038',_binary '
'),(70,'7d4a6f','orvosdoktor21@naver.com','2025-09-30 15:31:55.917147',_binary '
'),(71,'6c424f','bangstation0714@naver.com','2025-09-30 15:33:33.070897',_binary '\0'),(75,'e13d95','bangstation0714@naver.com','2025-09-30 15:33:34.149298',_binary '
');
/*!40000 ALTER TABLE `email_verifications` ENABLE KEYS */;
UNLOCK TABLES;

--
-- Table structure for table `question`
--

DROP TABLE IF EXISTS `question`;
/*!40101 SET @saved_cs_client     = @@character_set_client */;
/*!50503 SET character_set_client = utf8mb4 */;
CREATE TABLE `question` (
  `question_id` bigint NOT NULL AUTO_INCREMENT,
  `ai_answer` longtext CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci,
  `created_at` datetime(6) DEFAULT NULL,
  `problem_image` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci DEFAULT NULL,
  `solution_image` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci DEFAULT NULL,
  `unit_id` bigint DEFAULT NULL,
  `user_id` bigint DEFAULT NULL,
  `id` bigint DEFAULT NULL,
  PRIMARY KEY (`question_id`),
  KEY `FKs1tl5ukggla0y9dkixxfimpwx` (`unit_id`),
  KEY `FK4ekrlbqiybwk8abhgclfjwnmc` (`user_id`),
  KEY `FKt0y8y5hdlipra1gn6x2esm6g6` (`id`),
  CONSTRAINT `FK4ekrlbqiybwk8abhgclfjwnmc` FOREIGN KEY (`user_id`) REFERENCES `user` (`id`),
  CONSTRAINT `FK7rnpup7eaonh2ubt922ormoij` FOREIGN KEY (`user_id`) REFERENCES `users` (`id`),
  CONSTRAINT `FKs1tl5ukggla0y9dkixxfimpwx` FOREIGN KEY (`unit_id`) REFERENCES `unit` (`unit_id`)
) ENGINE=InnoDB AUTO_INCREMENT=387 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_unicode_ci;
/*!40101 SET character_set_client = @saved_cs_client */;

--
-- Dumping data for table `question`
--

LOCK TABLES `question` WRITE;
/*!40000 ALTER TABLE `question` DISABLE KEYS */;
INSERT INTO `question` VALUES (3,'[{\"step 1\":\"A媛€ 踰꾩뒪瑜??€湲??꾩뿉 ?대룞??嫄곕━瑜?x濡??먯옄.\"},{\"step 2\":\"洹몃윭硫?B媛€ ?대룞??嫄곕━??(13 - x)??\"},{\"step 3\":\"???щ엺 紐⑤몢 珥?13 km?쇰뒗 媛숈? 嫄곕━瑜??대룞?덉쑝誘€濡??ㅼ쓬怨?媛숈? 諛⑹젙?앹쓣 ?ㅼ젙?????덈떎: x + (13 - x) = 13 km.\"},{\"step 4\":\"諛⑹젙?앹쓣 ?€硫?x = 6.5 km媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??A??踰꾩뒪瑜??€湲??꾩뿉 6.5 km瑜??대룞?덇퀬, B??踰꾩뒪?먯꽌 ?대젮 6.5 km瑜??대룞?덈떎.\"},{\"step 6\":\"?댁젣 媛?媛쒖씤??嫄몃┛ ?쒓컙??怨꾩궛??蹂댁옄.\"},{\"step 7\":\"A??寃쎌슦: t_A = x / v_A = 6.5 km / 5 km/h = 1.3 ?쒓컙.\"},{\"step 8\":\"B??寃쎌슦: t_B = (13 - x) / v_B = 6.5 km / 50 km/h = 0.13 ?쒓컙.\"},{\"step 9\":\"???щ엺?€ ?숈떆???꾩갑?덉쑝誘€濡??ㅼ쓬 諛⑹젙?앹쓣 ?ㅼ젙?????덈떎: t_A = t_B.\"},{\"step 10\":\"媛믪쓣 ?€?낇븯硫? 1.3 ?쒓컙 = 0.13 ?쒓컙?대떎.\"},{\"step 11\":\"?대줈???곕━???€?닿? ?щ컮由꾩쓣 ?뺤씤?????덈떎.\"},{\"answer\":\"\\\\boxed{6.5}\"}]','2025-08-25 20:24:11.235005','uploads/f29e102e-cf15-4198-a630-6d57f9ffb0af.png',NULL,12,NULL,1),(4,'[{\"step 1\":\"A媛€ 踰꾩뒪瑜??€湲??꾩뿉 ?대룞??嫄곕━瑜?x?쇨퀬 ?ㅼ젙?⑸땲??\"},{\"step 2\":\"洹몃윭硫?B媛€ ?대룞??嫄곕━??(13 - x)媛€ ?⑸땲??\"},{\"step 3\":\"???щ엺 紐⑤몢 珥?13km瑜??대룞?덉쑝誘€濡?x + (13 - x) = 13?대씪???앹쓣 ?몄슱 ???덉뒿?덈떎.\"},{\"step 4\":\"???앹쓣 ?€硫?x = 6.5 km媛€ ?⑸땲??\"},{\"step 5\":\"?곕씪??A??踰꾩뒪瑜??€湲??꾩뿉 6.5km瑜??대룞?덇퀬, B??踰꾩뒪瑜??대┛ ??6.5km瑜??대룞?덉뒿?덈떎.\"},{\"step 6\":\"?댁젣 媛?媛쒖씤???대룞?섎뒗 ??嫄몃┛ ?쒓컙??怨꾩궛?대낫寃좎뒿?덈떎.\"},{\"step 7\":\"A???€?댁꽌: t_A = x / v_A = 6.5 km / 5 km/h = 1.3?쒓컙?낅땲??\"},{\"step 8\":\"B???€?댁꽌: t_B = (13 - x) / v_B = 6.5 km / 50 km/h = 0.13?쒓컙?낅땲??\"},{\"step 9\":\"???щ엺??媛숈? ?쒓컙???꾩갑?덉쑝誘€濡?t_A = t_B?쇰뒗 ?앹쓣 ?몄슱 ???덉뒿?덈떎.\"},{\"step 10\":\"媛믪쓣 ?€?낇븯硫?1.3?쒓컙 = 0.13?쒓컙???⑸땲??\"},{\"step 11\":\"?닿쾬?€ ?곕━???€?닿? ?щ컮瑜대떎??寃껋쓣 ?뺤씤?댁쨳?덈떎.\"},{\"answer\":\"\\\\boxed{1.3?쒓컙 = 0.13?쒓컙}\"}]','2025-08-25 20:30:49.165541','uploads/f29e102e-cf15-4198-a630-6d57f9ffb0af.png',NULL,9,NULL,1),(6,'[{\"step 1\":\"媛?洹몃９???숈떆??異쒕컻?섏뿬 媛숈? ?쒓컙???꾩갑?덈떎怨?紐낆떆?섏뼱 ?덉뒿?덈떎. 洹몃９ A???쒖냽 5km濡?嫄몄뼱???대룞?⑸땲?? 洹몃９ B???쒖냽 50km濡??대룞?섎뒗 踰꾩뒪瑜??€怨?媛€?ㅺ? P 吏€?먯뿉???대젮 嫄몄뼱???대룞?⑸땲?? ??洹몃９??媛숈? ?쒓컙???꾩갑?섎젮硫?洹몃９ B媛€ 踰꾩뒪?€ ?꾨낫濡??대룞??珥??쒓컙??洹몃９ A媛€ 嫄몃┛ ?쒓컙怨?媛숈븘???⑸땲??\"},{\"step 2\":\"?곗꽑 洹몃９ A???대룞 ?쒓컙??怨꾩궛??蹂닿쿋?듬땲?? 洹몃９ A??珥?13km瑜??쒖냽 5km濡??대룞?섎?濡?$t_A = \\\\frac{13 \\\\text{ km}}{5 \\\\text{ km/h}} = 2.6 \\\\text{ hours}$媛€ 嫄몃┰?덈떎.\"},{\"step 3\":\"?댁젣 洹몃９ B???대룞 ?쒓컙??怨꾩궛??蹂닿쿋?듬땲?? 洹몃９ B??癒쇱? ?쒖냽 50km濡?$d_B$ km瑜?踰꾩뒪瑜??€硫??대룞?섍퀬, ?댄썑 $13 - d_B$ km瑜?嫄룹뒿?덈떎. 踰꾩뒪瑜??€怨??대룞?섎뒗 ??嫄몃━???쒓컙?€ $\\\\frac{d_B}{50}$ ?쒓컙?닿퀬, 嫄룸뒗 ??嫄몃━???쒓컙?€ $\\\\frac{13 - d_B}{5}$ ?쒓컙?낅땲?? ?곕씪?? 洹몃９ B??珥??대룞 ?쒓컙?€ $t_B = \\\\frac{d_B}{50} + \\\\frac{13 - d_B}{5}$ ?쒓컙?낅땲?? 洹몃９ A?€ B???대룞 ?쒓컙??媛숈쑝誘€濡?$t_A = t_B$瑜??깅┰?⑸땲??\"},{\"step 4\":\"$t_A = 2.6$ ?쒓컙???꾩쓽 B???대룞 ?쒓컙 怨듭떇???€?낇븯硫? $2.6 = \\\\frac{d_B}{50} + \\\\frac{13 - d_B}{5}$. ??諛⑹젙?앹쓣 ?€??洹몃９ B媛€ 踰꾩뒪瑜???嫄곕━瑜?援ы븷 ???덉뒿?덈떎. 怨꾩궛 ??洹몃９ B??踰꾩뒪瑜??€怨?10km ?대룞?덇퀬, 嫄몄뼱??3km ?대룞?덈떎??寃껋쓣 ?????덉뒿?덈떎. 理쒖쥌 ?듬??€ 洹몃９ A??13km瑜?嫄몄뿀怨? 洹몃９ B??3km瑜?嫄몄뿀?듬땲??\"},{\"answer\":\"Group A walked 13 km and Group B walked 3 km.\"}]','2025-08-25 21:22:59.106790','uploads/18edd874-691c-490b-9f2c-69deec1d1033.png',NULL,12,NULL,5),(7,'[{\"step 1\":\"??洹몃９???숈떆???꾩갑?쒕떎??議곌굔 ?섏뿉, ??洹몃９???μ븷 ?놁씠 ?대룞?덉쓣 ?뚯쓽 珥??대룞 ?쒓컙??怨좊젮?⑸땲?? 珥??대룞 ?쒓컙?€ 嫄곕━瑜??띾룄濡??섎늻??援ы븯硫? ?대뒗 13km瑜?5km/h濡??섎늿 2.6 ?쒓컙?낅땲??\"},{\"step 2\":\"B 洹몃９??踰꾩뒪瑜??붿쓣 ?뚯쓽 ?ъ젙??遺꾩꽍?⑸땲?? 踰꾩뒪 ?뺣쪟??P?먯꽌 ?대━??嫄곕━源뚯?瑜?d_B濡??먭퀬, ?대븣???쒓컙??d_B/50?쇨퀬 ?ㅼ젙?⑸땲?? A 洹몃９?????숈븞 ?됲븳 ?대룞 嫄곕━瑜??띾룄濡?怨꾩궛?⑸땲??\"},{\"step 3\":\"A 洹몃９怨?B 洹몃９ 媛꾩쓽 ?곷????대룞怨??€?대컢 ?쒖빟??怨좊젮?섏뿬, 媛?洹몃９??媛쒕퀎?곸쑝濡??꾩????놁씠 ?쇰쭏??嫄몃┫吏€ 怨꾩궛?⑸땲?? ?대윭??遺꾩꽍??諛뷀깢?쇰줈, 媛?洹몃９???쒕줈?먭쾶 蹂댁“ ?섏뿉 理쒖쥌 紐⑹쟻吏€源뚯? ?대룞?섎뒗 ?꾩껜 ?쒓컙??怨좊젮?⑸땲??\"},{\"step 4\":\"?대룞????媛€吏€ ?④퀎濡??섎닏?덈떎: 1) B 洹몃９??踰꾩뒪瑜??€怨?A 洹몃９??留뚮굹??吏€?먭퉴吏€ ?대룞, 2) B 洹몃９??A 洹몃９怨?留뚮굹 ?쒕줈 ??븷??諛붽씀??踰꾩뒪?€ ?꾨낫瑜??댁슜, 3) ??洹몃９???숈떆???ㅽ??붿????꾩갑?⑸땲??\"},{\"answer\":\"媛?洹몃９??嫄몄? 嫄곕━??援ъ껜?곸씤 ?섑븰???€?대줈 怨꾩궛??理쒖쥌 媛믪쑝濡??섏샃?덈떎. 洹몃윭??二쇱뼱吏??뺣낫???ш린源뚯?留??쒓났?섏뿀?듬땲??\"}]','2025-08-25 21:28:25.447868','uploads/18edd874-691c-490b-9f2c-69deec1d1033.png',NULL,9,NULL,5),(8,'[{\"step 1\":\"蹂€???앸퀎: 臾몄젣???ы븿??二쇱슂 蹂€?섏? ?묒쓣 李얠뒿?덈떎. ?ㅽ깭?붿?源뚯???珥?嫄곕━媛€ 13 km?쇰뒗 寃껋쓣 ?뚭퀬 ?덉뒿?덈떎. 洹몃９ A??利됱떆 5 km/h???띾룄濡?嫄룰린 ?쒖옉?섍퀬, 洹몃９ B???숆탳?먯꽌 異쒕컻?섏뿬 ?쒖냽 50 km濡??대룞?섎뒗 踰꾩뒪瑜??묐땲?? ??洹몃９?€ ?숈떆???꾩갑?⑸땲??\"},{\"step 2\":\"媛?洹몃９???대룞???쒖옉???쒖젏 寃곗젙?섍린: 洹몃９ A??t=0?먯꽌 利됱떆 嫄룰린 ?쒖옉?⑸땲?? 洹몃９ B??踰꾩뒪瑜??€怨?異쒕컻?섎뒗 ???쒓컙??嫄몃┫ ?뚯?留? 洹?異쒕컻 ?쒓컖??T_0?쇨퀬 ?먭쿋?듬땲??\"},{\"step 3\":\"媛곴컖???대룞 嫄곕━ 怨꾩궛?섍린: 洹몃９ A??t1 ?쒓컙 ?숈븞 嫄룰퀬 ?섏꽌 踰꾩뒪瑜??붿뒿?덈떎. ?대븣 嫄곕━ d1?€ V_A * t1 = 5 * t1 km濡?怨꾩궛?⑸땲?? ?섎㉧吏€ 嫄곕━ d_walk??13 - 5t1 km?닿퀬, ?대? 嫄룸뒗 ?쒓컙?€ (13-5t1)/5 ?쒓컙?낅땲?? ?꾩껜 嫄룸뒗 ?쒓컙??怨꾩궛?섎㈃ 寃곌낵??13/5 = 2.6 ?쒓컙?낅땲??\"},{\"step 4\":\"?섎せ 怨꾩궛???댁슜???ш??좏븯怨? ?€?덉쟻???묎렐踰뺤쓣 ?ъ슜?섏뿬 ?묒そ 洹몃９???ㅽ깭?붿????숈떆???꾩갑?섎뒗 議곌굔??留뚯”?쒗궎??寃쎈줈瑜?紐⑤뜽留곹빀?덈떎. 泥섏쓬???섎せ??怨꾩궛???€泥댄븯??媛€?ν븳 ?쒕굹由ъ삤?€ ?쒓컙???쒓컖?뷀븯硫댁꽌 ?묒そ???ㅽ깭?붿????숈떆???꾩갑?섎뒗 諛⑸쾿??李얠뒿?덈떎.\"},{\"answer\":\"媛?洹몃９???대룞??嫄곕━??6.28 km?낅땲??\"}]','2025-08-25 21:32:36.939634','uploads/18edd874-691c-490b-9f2c-69deec1d1033.png',NULL,9,NULL,5),(9,'[{\"step 1\":\"泥섏쓬??踰꾩뒪媛€ ?뚯븘?ㅺ린 ?꾧퉴吏€ ?대룞??嫄곕━瑜?怨꾩궛?⑸땲??\"},{\"step 2\":\"踰꾩뒪 ?ы뻾???듯빐 洹몃９ B媛€ ?대룞??嫄곕━: 踰꾩뒪???띾룄 v_{bus}?€ ?ы뻾 ?쒓컙 t_1??怨깊빀?덈떎. ?€?낇븯硫? d_{bus_trip} = 50km/h 횞 t_1?낅땲??\"},{\"step 3\":\"?밴컼???대┛ ???⑥? ?꾩껜 嫄곕━: 珥?嫄곕━ D?먯꽌 踰꾩뒪 ?ы뻾 嫄곕━瑜?類€ 媛믪엯?덈떎. ?€?낇븯硫? D = 13km?€怨? ?⑥? 嫄곕━??D - d_{bus_trip}?낅땲??\"},{\"step 4\":\"踰꾩뒪媛€ ?뚯븘?ㅻ뒗 ??嫄몃━???쒓컙: 洹몃９ B瑜??대젮二쇨퀬 ????踰꾩뒪媛€ ?뚯븘?ㅻ뒗 ???꾩슂???쒓컙?€ t_2 = (D - d_{bus_trip})/v_{bus}?대ʼn, ?묒そ 洹몃９???꾩갑???뚭퉴吏€??珥??쒓컙?€ T_{total} = t_1 + t_2?낅땲??\"},{\"answer\":\"?????덈뒗 ?€濡?臾몄젣???붽뎄??留욊쾶 ?ㅼ젙??諛⑹젙?앷낵 ?닿껐???댁? 援ъ“瑜??곕Ⅸ 寃껋엯?덈떎.\"}]','2025-08-25 21:35:46.962141','uploads/18edd874-691c-490b-9f2c-69deec1d1033.png',NULL,12,NULL,5),(13,'[{\"step 1\":\"珥덇린?먮뒗 ??洹몃９ A?€ B媛€ ?숈떆??異쒕컻?⑸땲?? A 洹몃９???띾룄???쒖냽 5 km?닿퀬 B 洹몃９?€ 踰꾩뒪瑜??€怨??쒖냽 50 km濡?媛묐땲?? ?곕씪??異쒕컻?먯뿉?쒕?????P源뚯????쒓컙?€ ??洹몃９???띾룄???⑹쓣 湲곗??쇰줈 怨꾩궛?⑸땲??\"},{\"step 2\":\"??P???꾩갑?덉쓣 ?? B 洹몃９?€ 踰꾩뒪?먯꽌 ?대젮 A 洹몃９??湲곕떎?몃떎媛€, 踰꾩뒪媛€ ?ㅼ떆 異쒕컻?섏뿬 A 洹몃９???곕━???뚯븘媛묐땲?? ?대븣 ??履쎌씠 ?ㅻⅨ 履쎈낫????鍮좊Ⅴ寃??€吏곸??쇰?濡???洹몃９???ㅼ떆 留뚮굹????嫄몃━???쒓컙??怨꾩궛?댁빞 ?⑸땲??\"},{\"step 3\":\"B 洹몃９??異쒕컻?덉쓣 ?뚯쓽 ?ㅼ뼇???④퀎?€ ?€吏곸엫??諛⑺뼢??怨좊젮?섏뿬 洹?洹몃９?ㅼ씠 寃곌뎅 ?숈떆???꾩갑?섎룄濡??댁빞 ?⑸땲?? ?대? ?꾪빐 ?꾩껜 ?ы뻾??媛??④퀎瑜??곸꽭??遺꾩꽍?⑸땲??\"},{\"step 4\":\"留덉?留됱쑝濡? A 洹몃９怨?B 洹몃９ 紐⑤몢媛€ ?숈떆???꾩갑?댁빞 ?섎?濡? 媛숈? 珥??꾩갑 ?쒓컙 議곌굔???꾧꺽?섍쾶 ?곸슜?⑸땲?? ?대? ?꾪빐 以묎컙 ?뺣쪟?μ씠???ㅻⅨ 以묐떒 吏€?먯쓣 臾댁떆?섍퀬 理쒖쥌?곸쑝濡???洹몃９???숈떆???꾩갑?섎룄濡?議곗젙?⑸땲??\"},{\"answer\":\"Group A walked approximately 1.8 km; Group B covered the rest initially by bus.\"}]','2025-08-25 22:06:40.088460','uploads/18edd874-691c-490b-9f2c-69deec1d1033.png',NULL,9,NULL,5),(66,'[{\"step 1\":\"P源뚯? A媛€ 媛??쒓컙: t??"},{\"step 2\":\"A??P源뚯? 5t?? B??50t??"},{\"answer\":\"\"}]','2025-08-26 06:44:40.039802','uploads/35a97734-190f-406a-a400-b00791d2819f.png',NULL,9,NULL,5),(67,'[{\"step 1\":\"P源뚯? A媛€ 媛??쒓컙: t??"},{\"step 2\":\"A??P源뚯? 5t?? B??50t??"},{\"answer\":\"?뺣떟?€ A??13km瑜?嫄몄뿀怨? B??0km瑜?嫄몄뿀?듬땲??\"}]','2025-08-26 06:55:03.197602','uploads/35a97734-190f-406a-a400-b00791d2819f.png',NULL,9,NULL,5),(68,'[{\"step 1\":\"P源뚯? A媛€ 媛??쒓컙: t??"},{\"step 2\":\"A??P源뚯? 5t?? B??50t??"},{\"answer\":\"A 洹몃９?€ 5t??嫄곕━留뚰겮 嫄룰퀬, B 洹몃９?€ 50t??嫄곕━留뚰겮 嫄룰퀬 ?섎㉧吏€??踰꾩뒪濡??대룞?⑸땲??\"}]','2025-08-26 07:04:36.551302','uploads/35a97734-190f-406a-a400-b00791d2819f.png',NULL,9,NULL,5),(69,'[{\"step 1\":\"臾몄젣 ?댄빐?섍린: ??洹몃９ A?€ B媛€ 異쒕컻 吏€?먯뿉??13km ?⑥뼱吏?寃쎄린?μ쑝濡?媛€???쒕떎. 洹몃９ A??寃쎄린?κ퉴吏€ ?쒖냽 5km濡?嫄룰린 ?쒖옉?섍퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨?異쒕컻?쒕떎. 洹몃９ B???꾩갑 ?? ?ㅼ떆 ?뚯븘?€ A瑜??쎌뾽?댁꽌 ?곕젮媛꾨떎. ??洹몃９?€ ?숈떆???꾩갑?쒕떎.\"},{\"step 2\":\"?듭떖 ?뺣낫 ?뚯븙?섍린: 寃쎄린?κ퉴吏€??嫄곕━ <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>, 洹몃９ A???띾룄 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>, 洹몃９ B??踰꾩뒪 ?띾룄 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>\"},{\"step 3\":\"蹂€???ㅼ젙?섍린: 洹몃９ A媛€ 寃쎄린?κ퉴吏€ ?꾨떖?섎뒗 ??嫄몃━???쒓컙??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?대씪怨??섏옄. <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,<?xml version="1.0"?>
<!DOCTYPE svg PUBLIC '-//W3C//DTD SVG 1.0//EN'
          'http://www.w3.org/TR/2001/REC-SVG-20010904/DTD/svg10.dtd'>
<svg xmlns:xlink="http://www.w3.org/1999/xlink" style="fill-opacity:1; color-rendering:auto; color-interpolation:auto; text-rendering:auto; stroke:black; stroke-linecap:square; stroke-miterlimit:10; shape-rendering:auto; stroke-opacity:1; fill:black; stroke-dasharray:none; font-weight:normal; stroke-width:1; font-family:'Dialog'; font-style:normal; stroke-linejoin:miter; font-size:12px; stroke-dashoffset:0; image-rendering:auto;" width="235" height="55" xmlns="http://www.w3.org/2000/svg"
><!--Generated by the Batik Graphics2D SVG Generator--><defs id="genericDefs"
  /><g
  ><g transform="scale(20,20) translate(0.25,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >t</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(0.6111,1.7598) scale(0.007,0.007)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >1</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(1.2389,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >=</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(2.5054,0.9333) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >D</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><rect x="2.4145" width="1.0097" height="0.04" y="1.3398" style="stroke:none;"
      /><text x="0" xml:space="preserve" y="0" style="stroke:none;" transform="translate(2.4145,2.2958) scale(0.01,0.01)"
      >v</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(2.8992,2.4458) scale(0.007,0.007)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >A</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(3.822,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >=</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(4.9975,0.9333) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >1</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(5.4975,0.9333) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >3</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><rect x="4.9975" width="1" height="0.04" y="1.3398" style="stroke:none;"
      /><text x="0" xml:space="preserve" y="0" style="stroke:none;" transform="translate(5.2475,2.2958) scale(0.01,0.01)"
      >5</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(6.3953,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >=</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(7.4509,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >2</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(7.9509,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >:</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(8.2286,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >6</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(8.8953,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >h</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(9.4715,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >o</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(9.9562,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >u</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(10.5286,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >r</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(11.0076,1.6098) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >s</text
    ></g
  ></g
></svg
>
\\\" style=\\\"vertical-align:middle;\\\"/>\"},{\"step 4\":\"?댁젣 洹몃９ B媛€ 寃쎄린?κ낵 嫄곌씀濡?S 諛⑺뼢?쇰줈 ?대룞??A瑜?留뚮굹??嫄곕━ x瑜??ъ슜??怨꾩궛???ㅼ젙?섏옄. 珥??쒓컙????洹몃９ 紐⑤몢?먭쾶 2.6?쒓컙?쇰줈 ?숈씪?섎떎???ъ떎??湲곕컲??諛⑹젙?앹쓣 ?몄썙?? ?대? ?듯빐 x 媛믪쓣 援ы븯怨?洹몃９??媛곴컖 ?쇰쭏??嫄몄뿀?붿?瑜?怨꾩궛?????덈떎.\"},{\"answer\":\"媛?洹몃９??嫄몄? 嫄곕━瑜?怨꾩궛?섎㈃, 洹몃９ A??13km ?꾩껜瑜?嫄몄뿀怨? 洹몃９ B???쒕궡踰꾩뒪瑜??€怨?媛??섎㉧吏€ 嫄곕━瑜?嫄몄뿀??\"}]','2025-08-26 09:54:01.299696',NULL,NULL,9,NULL,1),(70,'[{\"step 1\":\"??D媛€ AC??以묒젏?대씪硫?AD?€ DC??湲몄씠??媛숈뒿?덈떎. ?곕씪??$AD = DC$?낅땲??\"},{\"step 2\":\"??E?€ F媛€ BC瑜?3?깅텇?섎뒗 ?먯씠?쇰㈃, $BE = EF = FC$?낅땲?? 利? BC????遺€遺꾩씠 ?숈씪??湲몄씠?낅땲??\"},{\"step 3\":\"媛곴컖??湲몄씠瑜?李얜뒗 寃껋씠 ?꾨땲?? 二쇱뼱吏?鍮꾩쑉?ㅼ쓣 ?뺤씤?섎뒗 怨쇱젙?낅땲?? ?곕씪??鍮꾧탳 媛€?ν븳 鍮꾩쑉濡?蹂€?섑빐???⑸땲??\"},{\"step 4\":\"二쇱뼱吏??뺣낫瑜?諛뷀깢?쇰줈 ?곸젅??鍮꾩쑉??李얘퀬, ?뺣떟???ㅼ쓬怨?媛숈씠 ?쒖떆?⑸땲?? \\\\boxed{...}. ?뺥솗??鍮꾩쑉?€ 臾몄젣???뺥솗??議곌굔 諛??좏깮吏€瑜?李멸퀬?섏뿬???⑸땲??\"},{\"answer\":\"二쇱뼱吏?議곌굔???곕씪 ?쇨컖?뺤쓽 以묒젏 諛?3?깅텇?먯쓽 鍮꾩쑉??寃€?좏븯???곸젅??鍮꾩쑉??李얠뒿?덈떎.\"}]','2025-08-26 10:10:40.468266',NULL,NULL,19,NULL,1),(71,'[{\"step 1\":\"?섎닓??諛⑹젙?앹쓣 ?ㅼ젙?⑸땲?? 二쇱뼱吏??ㅽ빆?앹쓣 ?섎늻???앹? Q(x) = x^2 - bx + c?닿퀬 ?섎㉧吏€???곸닔 6?낅땲?? ?섎늻???⑥뼱吏꾨떎??議곌굔?€ P(x) = Q(x) * D(x) + R(x)濡??쒗쁽?섍퀬, R(x)???섎㉧吏€媛€ ?곸? 李⑥닔?낅땲??\"},{\"step 2\":\"?ㅻⅨ履??앹쓣 ?뺤옣?댁꽌 ?쇱そ???ㅽ빆?앷낵 怨꾩닔瑜?留욎땅?덈떎. (x^2 - bx + c)?€ (d_1 x + d_0)瑜?怨깊븯??怨쇱젙???듯빐 怨꾩닔瑜?鍮꾧탳?⑸땲??\"},{\"step 3\":\"Equation A?먯꽌 d_0??\'b\'濡??쒗쁽?⑸땲?? 利? d_0 = b - 2?€ 媛숈씠 ?뺤쓽?⑸땲??\"},{\"step 4\":\"Equation C??d_0 = b - 2瑜??€?낇빀?덈떎. 洹몃윭硫?c?€ b 媛꾩쓽 愿€怨꾩떇 c(b - 2) = -9???좊룄?????덉뒿?덈떎.\"},{\"answer\":\"臾몄젣瑜??닿껐?섍린 ?꾪빐 ab??媛믪쓣 李얠쓣 ???덈뒗 異붽??곸씤 議곌굔?대굹 ?뺣낫媛€ ?꾩슂?⑸땲??\"}]','2025-08-26 10:23:27.999923',NULL,NULL,7,NULL,1),(81,'[{\"step 1\":\"?ㅽ빆??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,<?xml version="1.0"?>
<!DOCTYPE svg PUBLIC '-//W3C//DTD SVG 1.0//EN'
          'http://www.w3.org/TR/2001/REC-SVG-20010904/DTD/svg10.dtd'>
<svg xmlns:xlink="http://www.w3.org/1999/xlink" style="fill-opacity:1; color-rendering:auto; color-interpolation:auto; text-rendering:auto; stroke:black; stroke-linecap:square; stroke-miterlimit:10; shape-rendering:auto; stroke-opacity:1; fill:black; stroke-dasharray:none; font-weight:normal; stroke-width:1; font-family:'Dialog'; font-style:normal; stroke-linejoin:miter; font-size:12px; stroke-dashoffset:0; image-rendering:auto;" width="233" height="33" xmlns="http://www.w3.org/2000/svg"
><!--Generated by the Batik Graphics2D SVG Generator--><defs id="genericDefs"
  /><g
  ><g transform="scale(20,20) translate(0.25,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >P</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(1.0309,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >(</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(1.4198,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >x</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(1.9913,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >)</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(2.658,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >=</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(3.7136,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >x</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(4.2851,0.7011) scale(0.007,0.007)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >3</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(4.8823,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmsy10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >¡</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(5.8823,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >2</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(6.3823,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >x</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(6.9538,0.7011) scale(0.007,0.007)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >2</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(7.5511,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >+</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(8.5511,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >a</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(9.0797,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >x</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(9.8734,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmsy10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >¡</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(10.8734,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >3</text
    ></g
  ></g
></svg
>
\\\" style=\\\"vertical-align:middle;\\\"/>??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡??섎닃 ???섎㉧吏€媛€ 6???곹솴???ㅼ젙?섏뿬 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>???ъ슜?⑸땲?? ?ш린??二쇱뼱吏??섎㉧吏€??6?낅땲??\"},{\"step 2\":\"?€泥댄븯???앹쓣 ?⑥닚?뷀빀?덈떎: <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,<?xml version="1.0"?>
<!DOCTYPE svg PUBLIC '-//W3C//DTD SVG 1.0//EN'
          'http://www.w3.org/TR/2001/REC-SVG-20010904/DTD/svg10.dtd'>
<svg xmlns:xlink="http://www.w3.org/1999/xlink" style="fill-opacity:1; color-rendering:auto; color-interpolation:auto; text-rendering:auto; stroke:black; stroke-linecap:square; stroke-miterlimit:10; shape-rendering:auto; stroke-opacity:1; fill:black; stroke-dasharray:none; font-weight:normal; stroke-width:1; font-family:'Dialog'; font-style:normal; stroke-linejoin:miter; font-size:12px; stroke-dashoffset:0; image-rendering:auto;" width="232" height="30" xmlns="http://www.w3.org/2000/svg"
><!--Generated by the Batik Graphics2D SVG Generator--><defs id="genericDefs"
  /><g
  ><g transform="scale(20,20) translate(0.25,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >b</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(0.6792,0.7011) scale(0.007,0.007)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >3</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(1.2764,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmsy10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >¡</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(2.2764,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >2</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(2.7764,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >b</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(3.2056,0.7011) scale(0.007,0.007)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >2</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(3.8028,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >+</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(4.8028,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >a</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(5.3314,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >b</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(5.9828,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmsy10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >¡</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(6.9828,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >3</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(7.7606,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >=</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(8.8161,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmmi10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >b</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(9.2453,0.7011) scale(0.007,0.007)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >3</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(9.8425,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >+</text
    ></g
    ><g transform="matrix(20,0,0,20,0,0) translate(10.8425,1.114) scale(0.01,0.01)" style="font-size:100px; text-rendering:geometricPrecision; color-rendering:optimizeQuality; image-rendering:optimizeQuality; font-family:'jlm_cmr10'; color-interpolation:linearRGB;"
    ><text x="0" xml:space="preserve" y="0" style="stroke:none;"
      >6</text
    ></g
  ></g
></svg
>
\\\" style=\\\"vertical-align:middle;\\\"/>?닿퀬, ?대뒗 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?쇰줈 ?뺣━?⑸땲??\"},{\"step 3\":\"??뱾???쇱そ?쇰줈 ??꺼 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>??留뚮벊?덈떎. ???앹? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?€ <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIj8+DQo8IURPQ1RZUEUgc3ZnIFBVQkxJQyAnLS8vVzNDLy9EVEQgU1ZHIDEuMC8vRU4nDQogICAgICAgICAgJ2h0dHA6Ly93d3cudzMub3JnL1RSLzIwMDEvUkVDLVNWRy0yMDAxMDkwNC9EVEQvc3ZnMTAuZHRkJz4NCjxzdmcgeG1sbnM6eGxpbms9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkveGxpbmsiIHN0eWxlPSJmaWxsLW9wYWNpdHk6MTsgY29sb3ItcmVuZGVyaW5nOmF1dG87IGNvbG9yLWludGVycG9sYXRpb246YXV0bzsgdGV4dC1yZW5kZXJpbmc6YXV0bzsgc3Ryb2tlOmJsYWNrOyBzdHJva2UtbGluZWNhcDpzcXVhcmU7IHN0cm9rZS1taXRlcmxpbWl0OjEwOyBzaGFwZS1yZW5kZXJpbmc6YXV0bzsgc3Ryb2tlLW9wYWNpdHk6MTsgZmlsbDpibGFjazsgc3Ryb2tlLWRhc2hhcnJheTpub25lOyBmb250LXdlaWdodDpub3JtYWw7IHN0cm9rZS13aWR0aDoxOyBmb250LWZhbWlseTonRGlhbG9nJzsgZm9udC1zdHlsZTpub3JtYWw7IHN0cm9rZS1saW5lam9pbjptaXRlcjsgZm9udC1zaXplOjEycHg7IHN0cm9rZS1kYXNob2Zmc2V0OjA7IGltYWdlLXJlbmRlcmluZzphdXRvOyIgd2lkdGg9IjE5IiBoZWlnaHQ9IjI0IiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciDQo+PCEtLUdlbmVyYXRlZCBieSB0aGUgQmF0aWsgR3JhcGhpY3MyRCBTVkcgR2VuZXJhdG9yLS0+PGRlZnMgaWQ9ImdlbmVyaWNEZWZzIg0KICAvPjxnDQogID48ZyB0cmFuc2Zvcm09InNjYWxlKDIwLDIwKSB0cmFuc2xhdGUoMC4yNSwwLjk0NDQpIHNjYWxlKDAuMDEsMC4wMSkiIHN0eWxlPSJmb250LXNpemU6MTAwcHg7IHRleHQtcmVuZGVyaW5nOmdlb21ldHJpY1ByZWNpc2lvbjsgY29sb3ItcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgaW1hZ2UtcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgZm9udC1mYW1pbHk6J2psbV9jbW1pMTAnOyBjb2xvci1pbnRlcnBvbGF0aW9uOmxpbmVhclJHQjsiDQogICAgPjx0ZXh0IHg9IjAiIHhtbDpzcGFjZT0icHJlc2VydmUiIHk9IjAiIHN0eWxlPSJzdHJva2U6bm9uZTsiDQogICAgICA+YjwvdGV4dA0KICAgID48L2cNCiAgPjwvZw0KPjwvc3ZnDQo+DQo=\\\" style=\\\"vertical-align:middle;\\\"/>???섏〈?섎뒗 愿€怨꾨? ?섑??낅땲??\"},{\"step 4\":\"?ㅼ뼇??諛⑸쾿?쇰줈 ???앹쓣 ?댁꽍?섎젮怨??⑸땲?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>瑜?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡??섎늻??怨쇱젙???섑뻾?섎뒗?? ?섎닓??怨쇱젙???듯빐 ?붿뿬??쓣 ?뺤씤?섍퀬 ?쇱튂?섎뒗 援ъ“瑜?留뚮벊?덈떎.\"},{\"answer\":\"...\"}]','2025-08-26 13:53:15.080854',NULL,NULL,7,NULL,1),(96,'[{\"step 1\":\"P源뚯? A媛€ 媛??쒓컙: t??"},{\"step 2\":\"A??P源뚯? 5t?? B??50t??"},{\"step 3\":\"B媛€ 嫄몄뼱??P?먯쓣 異쒕컻???? A洹몃９?€ 8km瑜?嫄룰퀬, B洹몃９?€ 5x濡?嫄룸뒗??\"},{\"step 4\":\"A???꾩갑 ?쒓컙?€ 13/45, B???꾩갑 ?쒓컙?€ 13/45 ?대떎. 留욊쾶 ?⑸땲??\"},{\"answer\":\"洹몃９ A: 8km, 洹몃９ B: 5xkm??嫄몄쓬.\"}]','2025-08-26 15:41:10.507138','uploads/b85b860d-9f48-46fe-9774-8a4fec5c106e.png',NULL,9,NULL,5),(97,'[{\"step 1\":\"臾몄젣 ?곹솴???댄빐?섍퀬 臾몄젣瑜??닿껐?섍린 ?꾪빐 ?꾩슂??蹂€?섎뱾???뺤쓽?⑸땲?? 珥?嫄곕━??13km?닿퀬, 洹몃９ A??5km/h濡?嫄룰퀬, 洹몃９ B??50km/h??踰꾩뒪瑜??묐땲??\"},{\"step 2\":\"洹몃９ B???ъ젙遺€??遺꾩꽍?⑸땲?? 洹몃９ B???쒖옉?먯뿉???ъ씤??P源뚯? 踰꾩뒪瑜??€怨?媛묐땲?? ?ъ씤??P?먯꽌 ?섏감?섍퀬 踰꾩뒪瑜??뚮젮蹂대궦 ???ㅼ떆 嫄룰린 ?쒖옉?⑸땲?? 理쒖쥌 紐⑹쟻吏€源뚯???珥??대룞嫄곕━瑜?怨꾩궛?⑸땲??\"},{\"step 3\":\"?ъ씤??P源뚯???嫄곕━?€ 洹몃９ B媛€ ?닿납源뚯? ?꾨떖?섎뒗??嫄몃┛ ?쒓컙???앹쑝濡??섑??닿퀬, 洹몃９ A?€ 洹몃９ B媛€ 紐⑹쟻吏€???숈떆???꾨떖?섍린 ?꾪빐 議곗젙?댁빞 ???쒓컙怨?嫄곕━瑜??ㅼ젙?⑸땲??\"},{\"step 4\":\"?ъ씤??P源뚯? 洹몃９ B???대룞 ?쒓컙怨?洹몃９ A???대룞 ?쒓컙??紐⑤몢 ?€???쒓컙??留욎떠 議곗젙?섏뿀?붿? ?뺤씤?섏뿬, ??洹몃９???숈떆???꾩갑?섎룄濡?嫄곕━?€ ?쒓컙??議곗쑉?⑸땲??\"},{\"answer\":\"臾몄젣瑜??닿껐??寃곌낵, 洹몃９ A?€ 洹몃９ B媛€ 嫄룹? 嫄곕━??媛곴컖 X km?€ Y km?낅땲?? ?대뒗 ?ㅼ젙??議곌굔怨??먮즺?먯꽌 ?꾩텧???대떟?낅땲??\"}]','2025-08-26 16:51:32.108759','uploads/d2f5d0e0-c83c-4941-829a-1e8d4f2847bb.png',NULL,12,NULL,5),(109,'[{\"step 1\":\"??洹몃９???숈떆??異쒕컻?⑸땲?? 洹몃９ A??5 km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50 km/h???띾룄濡?踰꾩뒪瑜??€怨?媛묐땲?? ??洹몃９???숈떆???꾩갑?????덈룄濡?洹몃９ B媛€ 踰꾩뒪?먯꽌 ?대━怨?嫄룰린 ?쒖옉?섎뒗 吏€??P瑜?怨꾩궛?댁빞 ?⑸땲??\"},{\"step 2\":\"洹몃９ B??踰꾩뒪?먯꽌 ?대┛ ??嫄몄뼱??紐⑺몴 吏€?먭퉴吏€ 媛€???⑸땲?? ?곕씪??P?먯꽌 寃쎄린?κ퉴吏€ 洹몃９ B媛€ 嫄몄뼱???섎뒗 嫄곕━?€ 踰꾩뒪瑜??€怨??대룞??嫄곕━???⑹쓣 怨좊젮?댁빞 ?⑸땲??\"},{\"step 3\":\"??洹몃９???숈떆???꾩갑?댁빞 ?섎?濡? 洹몃９ A媛€ 嫄룸뒗 ??嫄몃━??珥??쒓컙?€ 洹몃９ B媛€ 踰꾩뒪瑜??€怨?媛€怨? 嫄몄뼱??媛€????嫄몃━??珥??쒓컙怨?媛숈뒿?덈떎. ???앹쑝濡???洹몃９???쒓컙 諛⑹젙?앹쓣 ?ㅼ젙?⑸땲??\"},{\"step 4\":\"?쒓컙 諛⑹젙?앹쓣 ?€??洹몃９ A?€ 洹몃９ B媛€ 嫄몄? 嫄곕━瑜?媛곴컖 援ы빀?덈떎. 理쒖쥌 ?듭쓣 $\\\\boxed{...}$濡??쒖떆?⑸땲??\"},{\"answer\":\"洹몃９ A??13 km瑜?嫄몄뿀怨? 洹몃９ B??(50-x) km??踰꾩뒪瑜??€怨? x km??嫄몄뿀?듬땲?? (?곸젅???섏떇???듯빐 ?뺥솗??x 媛믪쓣 怨꾩궛?⑸땲??)\"}]','2025-08-27 15:22:23.948483','uploads/81ae51ef-61f0-4c60-ac74-fa8c222d45ad.png',NULL,12,NULL,5),(110,'[{\"step 1\":\"媛?洹몃９???고쉶???꾪솚 ?놁씠 ?대룞?섎뒗 ?꾩껜 ?쒓컙??怨꾩궛?⑸땲?? ??洹몃９?€ 媛곸옄 ?띾룄濡?26km(13 * 2)瑜??대룞?댁빞 ?⑸땲?? 洹몃９ A: ?쒓컙 = 嫄곕━ / ?띾룄 = 26km / 5km/h ??1.2?쒓컙, 洹몃９ B: 洹몃뱾?€ 踰꾩뒪瑜??€怨??뚯븘?ㅻ뒗 ?띾룄???ы븿?섏뿬 ?대룞?섎?濡??ㅼ젣 ?띾룄媛€ ??諛곗엯?덈떎. ?곕씪???쒓컙 = 26km / (50km/h + 5km/h) = 26 / 60 = 0.4?쒓컙. ?고쉶瑜?怨좊젮?섏? ?딆? 珥??대룞 ?쒓컙?€ ?€??1.2 + 0.4 = 1.6?쒓컙?낅땲??\"},{\"step 2\":\"媛?洹몃９??吏€??P?먯꽌 ?고쉶濡??명빐 ?꾩슂濡??섎뒗 異붽? ?쒓컙??寃곗젙?⑸땲?? 洹몃９ B媛€ 洹몃９ A瑜??쒖썙??二쇨퀬 洹몃? ?대젮以€ 吏€??P?먯꽌??異붽? ?뺤?媛€ ?덉뒿?덈떎. ?대뒗 異붽? 嫄곕━瑜??살?留???洹몃９???④퍡 ?꾩갑?섍린 ?뚮Ц?????고쉶???쒓컙 ?꾩껜??怨좊Ⅴ寃?遺꾪룷?쒕떎怨?媛€?뺥븷 ???덉뒿?덈떎. 洹몃윭??怨꾩궛???꾩슂??嫄곕━???뺥솗??媛믪쓣 ?뚯븙?섎젮硫?泥?踰덉㎏ ?ы뻾怨?愿€?⑤맂 吏€??P???꾩튂瑜??뚯븘???섎ʼn, ?대뒗 ?ш린???쒓났?섏? ?딆븯?듬땲?? ?쒓났???곗씠?곕? 湲곕컲?쇰줈 蹂??? 珥??대룞 ?쒓컙?€ ?ㅼ젣 ?レ옄媛€ ?쒓났?섏? ?딆븯?듬땲??\"},{\"answer\":\"吏€??P???꾩튂媛€ 紐낆떆?섏? ?딆븯湲??뚮Ц??媛?洹몃９??嫄몄뼱?????뺥솗??嫄곕━瑜?怨꾩궛?????놁뒿?덈떎.\"}]','2025-08-27 15:35:09.690940','uploads/81ae51ef-61f0-4c60-ac74-fa8c222d45ad.png',NULL,9,NULL,5),(111,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??$x^3 - 2x^2 + ax - 3$媛€ ?섎닠吏€???ㅽ빆??$x^2 - x + b$濡??섎닠吏??? ?섎㉧吏€媛€ ?녿뒗 寃쎌슦瑜?李얠븘???쒕떎.\"},{\"step 2\":\"?섎닓?덉쓽 紐レ씠 1李??ㅽ빆?앹씠?쇨퀬 ?덉쑝誘€濡? ?섎닓?덉쓽 寃곌낵??$Q(x) = cx + d$???뺥깭瑜?媛뽰뒿?덈떎.\"},{\"step 3\":\"?ㅽ빆???섎닓?덉쓣 ?섑뻾?섏뿬 $x^3 - 2x^2 + ax - 3 = (x^2 - x + b)(cx + d)$?쇰뒗 議곌굔??留뚯”?섍쾶 ?섎뒗 $a$?€ $b$??媛믪쓣 李얠븘???⑸땲??\"},{\"step 4\":\"怨꾩닔 鍮꾧탳 諛⑸쾿???ъ슜?섏뿬 諛⑹젙?앹쓣 ?몄슦怨?$a$?€ $b$ 媛믪쓣 李얠뒿?덈떎. 理쒖쥌?곸쑝濡?$a = 1$, $b = 3$?꾩쓣 ?????덉뒿?덈떎.\"},{\"answer\":\"a = 1, b = 3\"}]','2025-08-27 15:52:22.609461','uploads/2dfa8c18-680f-43c0-81cb-bca9217c7bfd.png',NULL,13,NULL,5),(112,'[{\"step 1\":\"二쇱뼱吏?臾몄젣??$x^3 - 2x^2 + ax - 3$??$x^2 - x + b$濡??섎닃 ?? 紐レ씠 ?쇱감 ?ㅽ빆?앹씠 ?섏뼱???섎뒗 $a$?€ $b$??媛믪쓣 李얜뒗 寃껋엯?덈떎.\"},{\"step 2\":\"?섎㉧吏€媛€ 0???섎룄濡??⑸땲?? ?쇱감 ?ㅽ빆??紐レ씠 ?섎젮硫? ?섎늻???앹쓽 李⑥닔?€ ?섎㉧吏€??李⑥닔瑜??뷀븳 媛믪씠 ?쇱젣?섏쓽 李⑥닔蹂대떎 ?묒븘???⑸땲?? 利? ?섎㉧吏€???곸닔?ъ빞 ?⑸땲??\"},{\"step 3\":\"?ㅽ빆???섎닓?덉쓣 ?듯빐 ?섎닓?덉쓣 怨꾩궛?⑸땲?? ?섎늻怨?$x^3 - 2x^2$?먯꽌 ?쒖옉?섏뿬 吏꾪뻾?⑸땲?? $ax-3$??洹몃?濡??④린怨??곸닔濡??섎㉧吏€媛€ 0???섎룄濡?$a$?€ $b$瑜?議곗젙?⑸땲?? 洹?寃곌낵瑜??산린 ?꾪빐 ?섎㉧吏€瑜??ъ슜?섏뿬 $a$?€ $b$???€???앹쓣 ?ㅼ젙?⑸땲??\"},{\"step 4\":\"?곕┰諛⑹젙?앹쓣 ?€??$a$?€ $b$??媛믪쓣 李얠뒿?덈떎. ?앹쓣 ?곸젅??議곗젙?섍퀬 ?€?낇븯??$b = -1$怨?$a = 2$?쇰뒗 媛믪쓣 諛쒓껄?⑸땲?? 理쒖쥌 ????떆 ?ㅼ젙???앹쓣 ?듯빐 ?뺤씤?⑸땲??\"},{\"answer\":\"a = 2, b = -1\"}]','2025-08-27 15:54:30.538220','uploads/2dfa8c18-680f-43c0-81cb-bca9217c7bfd.png',NULL,12,NULL,5),(113,'[{\"step 1\":\"?꾩쓽??蹂€???뺤쓽: ??洹몃９???쒖옉?먯뿉??寃쎄린?κ퉴吏€??珥?嫄곕━??13 km?낅땲?? 蹂€??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>??踰꾩뒪媛€ 異쒕컻?먯뿉???ㅼ떆 留뚮궇 ?뚭퉴吏€ ??洹몃９?먯꽌 ?대룞??嫄곕━瑜??섑??낅땲??\"},{\"step 2\":\"踰꾩뒪 異쒕컻 ?쒖쓽 ?쒓컙 怨꾩궛: 踰꾩뒪媛€ 異쒕컻 吏€?먯뿉??7 km ?⑥뼱??異쒕컻?덉쓣 ?? ?ㅽ??붿? 履쎌쑝濡??€吏곸씠???곷? ?띾룄??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?낅땲?? 洹???吏곴컖 ?쇨컖?뺤쓣 ?뺤꽦?섎뒗 遺€遺꾧낵 愿€?⑦븳 諛⑹떇???ъ슜?섏뿬 寃쎈줈瑜?諛섎났?⑸땲??\"},{\"step 3\":\"??洹몃９???ㅽ??붿????꾩갑?섎뒗 ?쒓컙?€ ?ㅼ쓬???ы븿?⑸땲?? 洹몃９ A??異쒕컻遺€???쎌뾽源뚯???嫄몄쓬怨?洹몃９ B??諛섑솚?ъ젙 ???ㅽ??붿?源뚯? ?쒗븳??嫄곕━?먯꽌??異붾줎 諛⑹떇?낅땲??\"},{\"step 4\":\"?€?덉쟻???묎렐: 洹몃９ A媛€ ?숆탳?먯꽌 ?ㅽ??붿??쇰줈 異쒕컻?⑸땲?? 洹몃９ B??踰꾩뒪瑜??€怨?異쒕컻?섏?留?媛숈? ?쒓컙???꾩갑?댁빞 ?섎?濡?嫄몄쓬怨??띾룄??愿€怨꾨? ?ㅼ떆 ?ㅼ젙?섏뿬 ?꾩갑 ?쒓컙???됰벑?뷀빀?덈떎. ?곕씪?? ??洹몃９??寃고빀 寃쎈줈??以묐났 ?ъ젙?쇰줈 援ъ꽦?⑸땲??\"},{\"answer\":\"理쒖쥌?곸쑝濡? ??洹몃９??紐⑤몢 ?숈씪???쒓컙???꾩갑?섎뒗 寃껋뿉 二쇰ぉ?섏뿬 ?대룞??愿€怨꾨? ?ъ슜?섏뿬 援ъ껜?곸씤 媛믪쓣 怨꾩궛?⑸땲??\"}]','2025-08-27 16:03:37.632031','uploads/f29ca7a7-9aac-40fe-b61f-2a1567f2b547.png',NULL,9,NULL,5),(114,'[{\"step 1\":\"??洹몃９??異쒕컻吏€遺€???ъ씤??P?€ 愿€?⑤맂 ?꾩튂瑜?寃곗젙?⑸땲?? B 洹몃９?€ P 吏€?먯뿉??踰꾩뒪?먯꽌 ?대━怨?怨꾩냽 嫄몄뼱媛€硫? 踰꾩뒪???ㅼ떆 A 洹몃９???쒖슦???뚯븘媛묐땲?? 紐⑤뱺 洹몃９???숈떆??理쒖쥌 紐⑹쟻吏€???꾩갑?⑸땲??\"},{\"step 2\":\"A 洹몃９??紐??쒓퉴吏€ 嫄몄뼱媛붾뒗吏€瑜?洹몃뱾???띾룄?€ ?꾩갑 ?쒓컙??湲곕컲?쇰줈 怨꾩궛?⑸땲??\"},{\"step 3\":\"紐⑤뱺 洹몃９???꾩갑?섎뒗 6?쒓퉴吏€??嫄곕━瑜?怨꾩궛?⑸땲?? 洹몃９ B媛€ 踰꾩뒪瑜??듯빐 ?꾩갑吏€瑜??ν빐 ??踰?媛붾떎媛€, ?ㅼ떆 嫄몄뼱???뚯븘?듬땲??\"},{\"step 4\":\"??洹몃９??媛곸옄???띾룄?€ ?대룞 ?쒓컙??怨좊젮??珥??대룞 嫄곕━瑜?怨꾩궛?⑸땲??\"},{\"answer\":\"A 洹몃９?€ 10 km瑜?嫄몄뿀怨? B 洹몃９?€ ?ъ씤??P瑜?湲곗??쇰줈 ?좎떆 踰꾩뒪???붿?留? 援ъ껜?곸씤 ?꾨낫 嫄곕━??二쇱뼱吏?議곌굔?먯꽌 ?뚯븙?섍린 ?대졄?듬땲??\"}]','2025-08-27 16:10:39.390257',NULL,NULL,9,NULL,1),(115,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??$x^3 - 2x^2 + ax - 3$媛€ $x^2 - x + b$濡??섎늻?대뼥?댁쭊?ㅺ퀬 ?덉쑝誘€濡? ???ㅽ빆?앹쓽 ?섎㉧吏€媛€ 0?꾩쓣 ?????덉뒿?덈떎. ?섎㉧吏€ ?뺣━瑜??ъ슜?섏뿬 ?섎㉧吏€瑜?0?쇰줈 ?볤퀬 怨꾩궛???쒖옉?⑸땲??\"},{\"step 2\":\"?ㅽ빆?앹쓣 ?섎늻???섎㉧吏€瑜?0?쇰줈 ?볦뒿?덈떎. \\\"媛꾨떒???섏옄硫?\\"?대씪???쒗쁽???곕씪 $x^3 - 2x^2 + ax - 3 = (x^2 - x + b)(x + m) + r(x)$ ???뺥깭濡??먭퀬, $r(x)$瑜?0?쇰줈 ?ㅼ젙?⑸땲?? ?ш린??$x^2 - x + b$濡??섎늻?덉쓣 ???곸닔??$m$怨??ㅽ빆?앹쓽 怨꾩닔 愿€怨꾨? ?ъ슜?⑸땲??\"},{\"step 3\":\"?앹쓽 怨꾩닔 鍮꾧탳瑜??듯빐 $a$?€ $b$???€??愿€怨꾩떇??援ы빀?덈떎. ?ㅽ빆?앹쓽 怨꾩닔 鍮꾧탳瑜??듯빐 $a$?€ $b$??愿€怨꾨? 李얠븘?낅땲?? ?대븣, ?ㅽ빆???섎늻湲곕? ?섑뻾?섏뿬 ?꾩슂??媛믪쓣 異붿텧?섏뿬 $a$?€ $b$???덈줈??議곌굔???꾩텧?⑸땲??\"},{\"step 4\":\"$a$?€ $b$瑜?媛곴컖 ?€?낇븯????蹂€?섏뿉 ?섑븳 怨깆씤 $ab$瑜?援ы빀?덈떎. $a$?€ $b$??媛믪쓣 李얠븘???? ???섏쓣 怨깊븯??理쒖쥌?곸쑝濡?$ab = -6$?꾩쓣 ?뺤씤?⑸땲??\"},{\"answer\":\"-6\"}]','2025-08-27 16:18:03.668102',NULL,NULL,7,NULL,1),(117,'[{\"step 1\":\"蹂€???뺤쓽: 洹몃９ A媛€ 嫄몄? 珥?嫄곕━瑜?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡??먭퀬, 洹몃９ B媛€ 異붽?濡?嫄몄? 嫄곕━瑜?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡????? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>, <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡??뺤쓽?쒕떎. ?섏?留???諛⑸쾿?€ 蹂듭옟?????덉쑝誘€濡??덈????꾩튂 ?€???곷????€吏곸엫??怨좊젮?쒕떎.\"},{\"step 2\":\"?곷????€吏곸엫 遺꾩꽍: 洹몃９ B媛€ 踰꾩뒪瑜????? P 吏€?먯뿉 ?꾩갑?쒕떎. 洹몃９ B媛€ 踰꾩뒪?먯꽌 ?대┛ ??嫄몄뼱媛€硫댁꽌 ?숈떆??踰꾩뒪??洹몃９ A瑜??곕━??媛꾨떎. 洹몃９ A?€ B媛€ ?숈떆???꾩갑?섎?濡? 媛쒖씤??珥??쒓컙?€ ?숈씪?댁빞 ?쒕떎. ?€?좎뿉, 洹몃９ B媛€ ??留롮? ?쒓컙??踰꾩뒪?먯꽌 蹂대궡怨?洹몃９ A媛€ ??留롮씠 嫄룸뒗??\"},{\"answer\":\"洹몃９ A???€??8 km瑜?嫄룰퀬, 洹몃９ B???€??9 km瑜?嫄룸뒗?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>, <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>\"}]','2025-08-27 16:23:59.770472',NULL,NULL,9,NULL,1),(119,'[{\"step 1\":\"二쇱뼱吏??뺣낫瑜??뺤씤?⑸땲?? ?대룞?κ퉴吏€??嫄곕━ = 13 km, 洹몃９ A???띾젰 (嫄룰린) = 5 km/h, 洹몃９ B??踰꾩뒪 ?띾룄 = 60 km/h, ??洹몃９???숈떆??異쒕컻??"},{\"step 2\":\"洹몃９ B媛€ ?대룞?μ뿉 ?꾩갑?섎뒗 ?쒓컙??援ы빀?덈떎: \\nt_{bus} = \\\\frac{\\\\text{嫄곕━}}{\\\\text{?띾룄}_{bus}} = \\\\frac{13}{60} \\\\text{?쒓컙} ??0.217 \\\\text{?쒓컙}\"},{\"step 3\":\"洹몃９ A媛€ ?≫? ?щ씪?ㅺ린 ?꾧퉴吏€ ?쇰쭏???대룞?덈뒗吏€ 怨꾩궛?⑸땲?? ?뱀젙 ?몃? ?ы빆???놁쑝誘€濡?洹몃９ B?€???⑸쪟 ?쒓컙??T濡??쒖떆?⑸땲??\"},{\"step 4\":\"??洹몃９???숈떆???꾩갑?쒕떎???ъ떎??諛뷀깢?쇰줈 Group B媛€ A瑜??쎌뾽?????대룞?μ뿉 ?꾩갑???뚭퉴吏€ 媛?洹몃９??嫄룸뒗 嫄곕━瑜?怨꾩궛?⑸땲??\"},{\"answer\":\"媛?洹몃９??嫄룸뒗 嫄곕━瑜?怨꾩궛?섎뒗 臾몄젣??踰꾩뒪???대룞, ?≪븘 ?щ씪?ㅻ뒗 怨쇱젙, ??洹몃９???띾룄 諛??뚯븘?ㅻ뒗 ?숈븞???쒓컙??醫낇빀?섏뿬 ?닿껐?댁빞 ?⑸땲??\"}]','2025-08-27 17:12:45.163861','uploads/93d83aab-196d-4dec-a93f-43ec36bbb46c.png',NULL,9,NULL,5),(120,'[{\"step 1\":\"臾몄젣瑜??댄빐?섍퀬 嫄곕━?€ ?띾룄???€??蹂€???뺤쓽. 臾몄젣?먯꽌 洹몃９ B媛€ P 吏€?먯뿉??踰꾩뒪瑜??대젮 ?숆탳源뚯? 嫄몄뼱媛€??寃껉낵 洹몃９ A媛€ 泥섏쓬???꾨낫濡?嫄몄뼱媛€??湲몄씠媛€ ?숈씪?⑥쓣 ?댄빐?⑸땲??\"},{\"step 2\":\"??洹몃９??珥??ы뻾 ?쒓컙 諛⑹젙?앹쓣 ?몄썙??洹몃９ B媛€ ?숆탳?먯꽌 P 吏€?먭퉴吏€ 踰꾩뒪瑜??€怨?媛??ㅼ쓬 ?ㅼ떆 ?뚯븘?ㅻ뒗 ?쒓컙怨?洹몃９ A媛€ 泥섏쓬???꾨낫濡?嫄몄뼱媛€???쒓컙??鍮꾧탳?⑸땲??\"},{\"step 3\":\"嫄곕━ x?€ (D - x)濡?洹몃９ A?€ B???대룞 援ш컙???쒗쁽, 媛?援ш컙 蹂꾨줈 嫄곕━?€ ?띾룄瑜?湲곕컲?쇰줈 ?꾩슂???쒓컙 諛⑹젙?앹쓣 ?몄?.\"},{\"step 4\":\"洹좊벑?섍쾶 ?꾨떖?섍린 ?꾪빐 ??洹몃９???꾩껜 ?ы뻾 ?쒓컙???숈씪?섍쾶 ?ㅼ젙?섏뿬 怨꾩궛. 洹몃９ A??嫄룰린?€ 洹몃９ B??踰꾩뒪 ?대룞 ?쒓컙???⑹씠 ?숈씪?섎룄濡?諛⑹젙?앹쓣 議곗젙?섏뿬 ?대? 李얠쓬.\"},{\"answer\":\"媛?洹몃９??嫄몄? 嫄곕━???숈씪?섍쾶 議곗젙?섏뿬 洹몃９??媛??④퀎蹂??대룞???곸꽭?섍쾶 ?ㅻ챸?섍퀬 ?섑븰?곸쑝濡??대? ?꾩텧??\"}]','2025-08-27 17:17:05.624440','uploads/93d83aab-196d-4dec-a93f-43ec36bbb46c.png',NULL,9,NULL,5),(121,'[{\"step 1\":\"?숆탳?€ 寃쎄린???ъ씠??珥?嫄곕━??13km?낅땲?? 洹몃９ A?€ 洹몃９ B媛€ 以묎컙 吏€?먯씤 P吏€?먯뿉??留뚮궔?덈떎. ??以묎컙 吏€?먭퉴吏€??嫄곕━???꾩껜 嫄곕━???덈컲?쇰줈, 13??2濡??섎늿 6.5km?낅땲??\"},{\"step 2\":\"蹂€?붽? 諛쒖깮?섍린 ?꾧퉴吏€ ??洹몃９??嫄몃┛ ?쒓컙??怨꾩궛?⑸땲?? 洹몃９ A媛€ P源뚯? 嫄몄뼱媛€????嫄몃┛ ?쒓컙?€ 嫄곕━ 6.5km瑜??띾룄 5km/h濡??섎늿 1.3?쒓컙?낅땲?? ?대뒗 ?ㅼ떆 1?쒓컙 7.8遺꾩쑝濡?蹂€?섎맗?덈떎.\"},{\"step 3\":\"洹몃９ B媛€ 踰꾩뒪瑜??€怨??대룞?섎뒗 ?띾룄??50km/h?대ʼn, P吏€?먭퉴吏€??嫄곕━???꾩껜???덈컲, 利?6.5km?낅땲?? ??洹몃９ 紐⑤몢 P吏€?먯뿉 ?꾩갑?섍린源뚯? 嫄몃━???쒓컙?€ 1.3?쒓컙???⑸땲??\"},{\"step 4\":\"P吏€???댄썑, 洹몃９ A??怨꾩냽 寃쎄린?μ쑝濡?媛€怨? 洹몃９ B???뚯븘??A瑜??쒖슦怨?寃쎄린?μ쑝濡?媛붿뒿?덈떎. ??洹몃９?€ 媛숈? ?쒓컙???꾩갑?덉쑝硫? 媛?洹몃９??嫄몄? 嫄곕━??6.5km濡??숈씪?⑸땲??\"},{\"answer\":\"媛?洹몃９??嫄몄? 嫄곕━??6.5km?낅땲??\"}]','2025-08-27 17:19:02.927464','uploads/93d83aab-196d-4dec-a93f-43ec36bbb46c.png',NULL,9,NULL,5),(122,'[{\"step 1\":\"媛?洹몃９??異쒕컻???쒖젏遺€???꾩갑???뚭퉴吏€ 嫄몃┛ ?쒓컙???ㅼ젙?⑸땲?? ??洹몃９?€ ?숈떆???꾩갑?섎?濡? A???쒓컙怨?B???쒓컙???숈씪?섍쾶 ?섏뿬 諛⑹젙?앹쓣 ?몄썎?덈떎.\"},{\"step 2\":\"B媛€ 踰꾩뒪瑜??€怨??덈뒗 援ш컙怨?嫄룸뒗 援ш컙??援щ텇?섏뿬, 媛곴컖???쒓컙 ?뚯슂瑜?援ы빀?덈떎. ?대? ?듯빐 踰꾩뒪瑜??€怨??대룞??嫄곕━?€ 嫄몄? 嫄곕━瑜?怨꾩궛?⑸땲??\"},{\"step 3\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞??嫄곕━?€ 嫄룸뒗 嫄곕━瑜?媛곴컖 怨꾩궛?⑸땲?? ?대? ?꾪빐 踰꾩뒪???대룞 ?쒓컙???ъ슜?섏뿬 ?대룞 嫄곕━瑜?怨꾩궛?⑸땲??\"},{\"step 4\":\"媛?洹몃９???꾨낫濡?嫄몄? 嫄곕━?€ 踰꾩뒪濡??대룞??嫄곕━瑜??⑹궛?섏뿬 ?꾩껜 寃쎈줈?먯꽌 嫄몄? 嫄곕━?€ 踰꾩뒪濡??대룞??嫄곕━瑜?理쒖쥌?곸쑝濡??곗텧?⑸땲??\"},{\"answer\":\"洹몃９ A??9 km瑜?嫄몄뿀怨? 洹몃９ B??3 km瑜?嫄몄뿀?듬땲??\"}]','2025-08-27 17:20:29.480143','uploads/93d83aab-196d-4dec-a93f-43ec36bbb46c.png',NULL,9,NULL,5),(123,'[{\"step 1\":\"臾몄젣瑜??댄빐?쒕떎. ??洹몃９ A?€ B媛€ ?숆탳?먯꽌 13km ?⑥뼱吏?寃쎄린?μ쑝濡??대룞?쒕떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨?媛꾨떎. 以묎컙 吏€??P?먯꽌 洹몃９ B??踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??洹몃９ A瑜??쒖슦???뚯븘媛꾨떎. ??洹몃９?€ ?숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎. 媛?洹몃９??嫄몄? 嫄곕━瑜?援ы븯??\"},{\"step 2\":\"蹂€?섎? ?뺤쓽?섍퀬 諛⑹젙?앹쓣 ?ㅼ젙?쒕떎. 洹몃９ B???숆탳?먯꽌 6.5km ?⑥뼱吏?吏€??P?먯꽌 踰꾩뒪瑜??대┛?? 洹몃９ B???섎㉧吏€ 6.5km瑜?嫄룸뒗?? 洹몃９ A??泥섏쓬遺€???앷퉴吏€ 嫄룸뒗??\"},{\"step 3\":\"洹몃９ A媛€ 寃쎄린?κ퉴吏€ 嫄룸뒗 ??嫄몃━???쒓컙??怨꾩궛?쒕떎. 洹몃９ A??13km瑜??쒖냽 5km濡?嫄룸뒗?? ?곕씪???쒓컙?€ 13 / 5 = 2.6?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B媛€ 寃쎄린?κ퉴吏€ 媛€????嫄몃━???쒓컙??怨꾩궛?쒕떎. 洹몃９ B??6.5km瑜??쒖냽 50km濡?踰꾩뒪瑜??€怨?媛€怨? ?섎㉧吏€ 6.5km瑜??쒖냽 5km濡?嫄룸뒗?? 踰꾩뒪 ?쒓컙?€ 6.5 / 50 = 0.13?쒓컙?닿퀬, 嫄룸뒗 ?쒓컙?€ 6.5 / 5 = 1.3?쒓컙?대떎. 珥??쒓컙?€ 0.13 + 1.3 = 1.43?쒓컙?대떎.\"},{\"step 5\":\"踰꾩뒪媛€ 洹몃９ A瑜??쒖슦???뚯븘媛€???쒓컙??怨좊젮?쒕떎. 洹몃９ A媛€ 2.6?쒓컙 ?숈븞 嫄룸뒗 ?숈븞, 踰꾩뒪??洹몃９ A瑜??쒖슦??媛붾떎媛€ ?ㅼ떆 寃쎄린?μ쑝濡??뚯븘?€???쒕떎. ?곕씪??洹몃９ A媛€ 嫄룸뒗 ?쒓컙怨?洹몃９ B媛€ 踰꾩뒪瑜??€怨?嫄룸뒗 ?쒓컙??媛숈븘???쒕떎.\"},{\"step 6\":\"??洹몃９???숈떆???꾩갑?섍린 ?꾪빐 踰꾩뒪媛€ 洹몃９ A瑜??쒖슦??媛€???쒓컙??議곗젙?쒕떎. 洹몃９ A媛€ 嫄룸뒗 ?쒓컙 2.6?쒓컙怨?洹몃９ B??珥??대룞 ?쒓컙 1.43?쒓컙??媛숈븘???섎?濡? 踰꾩뒪媛€ 洹몃９ A瑜??쒖슦??媛€???쒓컙?€ 2.6 - 1.43 = 1.17?쒓컙?대떎.\"},{\"answer\":\"洹몃９ A??13km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"next_step\":\"step 1\"}]','2025-08-27 19:42:14.527703','uploads/f930ef70-bdd8-41d3-962b-ba81a7c0fae5.png',NULL,9,NULL,5),(124,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??踰꾩뒪瑜??€怨?P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮??嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€??洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 - 0.13?쒓컙 = 1.17?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.17?쒓컙 ?숈븞 50km/h???띾룄濡??대룞?섎?濡? 1.17?쒓컙 * 50km/h = 58.5km瑜??대룞?????덈떎. ?섏?留??ㅼ젣濡쒕뒗 6.5km留??대룞?섎㈃ ?쒕떎. ?곕씪??踰꾩뒪??洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ ?대룞?쒕떎.\"},{\"step 6\":\"洹몃９ A??P源뚯? 6.5km瑜?嫄몄뿀怨? 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?嫄몄뿀?? ?곕씪????洹몃９ 紐⑤몢 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"媛?洹몃９?€ 6.5km瑜?嫄몄뿀??\"},{\"next_step\":\"step 3\"}]','2025-08-27 19:43:20.781997','uploads/f930ef70-bdd8-41d3-962b-ba81a7c0fae5.png',NULL,9,NULL,5),(127,'[{\"step 1\":\"臾몄젣瑜??댄빐?쒕떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨?媛꾨떎. ??洹몃９?€ ?숈떆??異쒕컻?섎ʼn, 洹몃９ B??以묎컙 吏€??P?먯꽌 踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?쒕떎. 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슦怨??ㅼ떆 寃쎄린?μ쑝濡?媛꾨떎. ??洹몃９?€ ?숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 2\":\"寃쎄린?κ퉴吏€??珥?嫄곕━??13km?대떎. 以묎컙 吏€??P??6.5km 吏€?먯씠?? 洹몃９ B??6.5km源뚯? 踰꾩뒪瑜??€怨?媛붽퀬, ?섎㉧吏€ 6.5km瑜?嫄몄뿀??\"},{\"step 3\":\"踰꾩뒪??洹몃９ B瑜??대젮以€ ?? 6.5km瑜??뚯븘媛€ 洹몃９ A瑜??쒖슫?? 洹몃９ A??6.5km瑜?嫄몄뿀怨? ?섎㉧吏€ 6.5km瑜?踰꾩뒪瑜??€怨?媛붾떎.\"},{\"step 4\":\"?곕씪??洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A?€ 洹몃９ B??媛곴컖 6.5km瑜?嫄몄뿀??\"},{\"next_step\":\"step 1\"}]','2025-08-27 22:27:22.713600','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(128,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??洹?以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜?媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. 洹몃９ B??P?먯꽌 ?대젮??嫄룰린 ?쒖옉?쒕떎.\"},{\"step 4\":\"踰꾩뒪??洹몃９ A瑜??쒖슦???뚯븘媛€怨? 洹몃９ A瑜??쒖슫 ???ㅼ떆 寃쎄린?κ퉴吏€ 媛꾨떎. 洹몃９ A媛€ 踰꾩뒪瑜??€怨?媛€??嫄곕━??6.5km?대떎.\"},{\"step 5\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨?媛€???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?곕씪??洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 6\":\"寃곕줎?곸쑝濡? 洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"next_step\":\"step 1\"}]','2025-08-27 22:28:47.292418','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(129,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺣━?쒕떎. ?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?닿퀬, 以묎컙 吏€??P??6.5km 吏€?먯씠?? A??5km/h濡?嫄룰퀬, B??50km/h濡?踰꾩뒪瑜??€怨?媛꾨떎.\"},{\"step 2\":\"A媛€ P源뚯? 嫄룸뒗 ??嫄몃━???쒓컙??t?곸씠?쇨퀬 ?섎㈃, A??5t??= 6.5km瑜?嫄룸뒗?? ?곕씪??t??= 6.5 / 5 = 1.3?쒓컙?대떎.\"},{\"step 3\":\"B??踰꾩뒪瑜??€怨?P源뚯? 媛€?붾뜲, 50t??= 6.5km瑜??대룞?쒕떎. ?곕씪??B??P源뚯? 媛€????1.3?쒓컙??嫄몃┛??\"},{\"step 4\":\"B??P?먯꽌 ?대젮???섎㉧吏€ 6.5km瑜?嫄룸뒗?? A??踰꾩뒪瑜??€怨??섎㉧吏€ 6.5km瑜??대룞?쒕떎. ??洹몃９?€ ?숈떆???꾩갑?쒕떎.\"},{\"step 5\":\"B媛€ 嫄룸뒗 嫄곕━??6.5km?닿퀬, A媛€ 嫄룸뒗 嫄곕━??6.5km?대떎. ?곕씪????洹몃９ 紐⑤몢 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"媛?洹몃９?€ 6.5km瑜?嫄몄뿀??\"},{\"next_step\":\"step 3\"}]','2025-08-27 22:29:53.147600','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(130,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??洹?以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??踰꾩뒪瑜??€怨?P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. P?먯꽌 洹몃９ B??嫄몄뼱??寃쎄린?κ퉴吏€ 媛€???쒕떎.\"},{\"step 4\":\"洹몃９ B媛€ P?먯꽌 寃쎄린?κ퉴吏€ 嫄룸뒗 嫄곕━??6.5km?닿퀬, 洹몃９ A媛€ 踰꾩뒪瑜??€怨?寃쎄린?κ퉴吏€ 媛€??嫄곕━??6.5km?대떎. 洹몃９ A媛€ 踰꾩뒪瑜??€怨?媛€???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 5\":\"洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?섎?濡? 洹몃９ A媛€ 嫄룰퀬 踰꾩뒪瑜??€??珥??쒓컙怨?洹몃９ B媛€ 嫄룸뒗 珥??쒓컙??媛숈븘???쒕떎. ?곕씪??洹몃９ A媛€ 嫄룸뒗 ?쒓컙 1.3?쒓컙怨?踰꾩뒪瑜??€???쒓컙 0.13?쒓컙???⑹? 洹몃９ B媛€ 嫄룸뒗 ?쒓컙 1.3?쒓컙怨?媛숇떎.\"},{\"step 6\":\"寃곕줎?곸쑝濡? 洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"next_step\":\"step 1\"}]','2025-08-27 22:32:31.564086','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(131,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??洹?以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??踰꾩뒪瑜??€怨?P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. P?먯꽌 洹몃９ B??嫄몄뼱??寃쎄린?κ퉴吏€ 媛€???쒕떎.\"},{\"step 4\":\"洹몃９ B媛€ P?먯꽌 寃쎄린?κ퉴吏€ 嫄룸뒗 嫄곕━??6.5km?닿퀬, 嫄룸뒗 ?띾룄??洹몃９ A?€ ?숈씪?섍쾶 5km/h?대떎. ?곕씪??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 5\":\"踰꾩뒪??洹몃９ B瑜??대젮二쇨퀬 利됱떆 ?뚯븘?€??洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ 媛꾨떎. 洹몃９ A媛€ P源뚯? 嫄룸뒗 ??嫄몃┛ ?쒓컙怨?洹몃９ B媛€ P?먯꽌 寃쎄린?κ퉴吏€ 嫄룸뒗 ??嫄몃┛ ?쒓컙??媛숈쑝誘€濡? ??洹몃９?€ ?숈떆???꾩갑?쒕떎.\"},{\"step 6\":\"寃곕줎?곸쑝濡? 洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"next_step\":\"step 3\"}]','2025-08-27 22:33:10.503682','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(132,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪, ?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙 t?곸? 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??踰꾩뒪瑜??€怨?P源뚯? 媛€?붾뜲 嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. P?먯꽌 洹몃９ B??嫄몄뼱??寃쎄린?κ퉴吏€ 媛€???쒕떎.\"},{\"step 4\":\"洹몃９ B媛€ P?먯꽌 寃쎄린?κ퉴吏€ 嫄룸뒗 嫄곕━??6.5km?닿퀬, 洹몃９ A媛€ P?먯꽌 寃쎄린?κ퉴吏€ 踰꾩뒪瑜??€怨?媛€??嫄곕━??6.5km?대떎. 洹몃９ A??踰꾩뒪瑜??€怨?50km/h濡??대룞?쒕떎.\"},{\"step 5\":\"洹몃９ B媛€ P?먯꽌 寃쎄린?κ퉴吏€ 嫄룸뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎. 洹몃９ A??踰꾩뒪瑜??€怨?6.5km瑜??대룞?섎뒗 ??6.5km / 50km/h = 0.13?쒓컙??嫄몃┛??\"},{\"step 6\":\"洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?섎?濡? 洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞??嫄곕━?€ 洹몃９ B媛€ 嫄몄? 嫄곕━??媛곴컖 6.5km?대떎.\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-08-27 22:36:14.385144','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(133,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪, ?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. 洹몃９ B??P?먯꽌 踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?쒕떎.\"},{\"step 3\":\"洹몃９ B媛€ P源뚯? 踰꾩뒪瑜??€怨?媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ A媛€ P源뚯? 嫄룸뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 5\":\"踰꾩뒪??洹몃９ B瑜??대젮二쇨퀬 利됱떆 ?뚯븘?€ 洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P源뚯? 嫄룸뒗 ?숈븞 踰꾩뒪???뺣났?섏뿬 洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ 媛꾨떎.\"},{\"step 6\":\"洹몃９ A??P源뚯? 6.5km瑜?嫄룰퀬, 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?嫄룸뒗??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄룸뒗??\"}]','2025-08-27 22:45:35.754150','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(134,'[{\"step 1\":\"臾몄젣瑜??댄빐?쒕떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨??대룞?쒕떎. ??洹몃９?€ ?숈떆??異쒕컻?섎ʼn, ?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. 以묎컙 吏€??P?먯꽌 洹몃９ B??踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슦怨?寃쎄린?μ쑝濡?媛꾨떎. ??洹몃９?€ ?숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 2\":\"媛?洹몃９???대룞 ?쒓컙??怨꾩궛?쒕떎. 洹몃９ A???쒖냽 5km濡?13km瑜?嫄룰린 ?뚮Ц??13/5 = 2.6?쒓컙??嫄몃┛?? 洹몃９ B???쒖냽 50km濡?6.5km瑜??대룞?섎뒗??6.5/50 = 0.13?쒓컙??嫄몃┛?? 洹몃９ B???섎㉧吏€ 6.5km瑜?嫄룰린 ?뚮Ц??6.5/v ?쒓컙??嫄몃┛??\"},{\"step 3\":\"踰꾩뒪媛€ 洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ 媛€???쒓컙??怨꾩궛?쒕떎. 踰꾩뒪???쒖냽 50km濡?6.5km瑜??대룞?섎?濡?6.5/50 = 0.13?쒓컙??嫄몃┛?? 洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞?섎뒗 ?쒓컙?€ 6.5/50 = 0.13?쒓컙?대떎.\"},{\"step 4\":\"??洹몃９???숈떆???꾩갑?섍린 ?꾪빐 洹몃９ B媛€ 嫄룸뒗 ?띾룄 v瑜?李얜뒗?? 洹몃９ A??珥??대룞 ?쒓컙?€ 2.6?쒓컙?닿퀬, 洹몃９ B??珥??대룞 ?쒓컙?€ 0.13 + 6.5/v + 0.13?쒓컙?대떎. ?대? 媛숆쾶 ?섏뿬 v瑜?援ы븳??\"},{\"step 5\":\"怨꾩궛???듯빐 洹몃９ B??嫄룸뒗 ?띾룄 v瑜?援ы븯怨? 媛?洹몃９??嫄몄? 嫄곕━瑜?怨꾩궛?쒕떎. 洹몃９ A??13km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??13km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-08-27 22:48:08.645600','uploads/2f620f9e-1451-44ee-a63e-cc538cbe845a.png',NULL,9,NULL,5),(165,'[{\"step 1\":\"A?€ B ?ъ씠??嫄곕━??120km?대떎. 媛묒? ?쒖냽 50km濡?A?먯꽌 B濡??대룞?섍퀬, ?꾩? ?쒖냽 48km濡?B?먯꽌 A濡??대룞?쒕떎.\"},{\"step 2\":\"媛?湲곗?援?? 40km源뚯? ?꾪뙆瑜??≪텧?????덈떎. ?곕씪??A?€ B?먯꽌 媛곴컖 40km ?⑥뼱吏?吏€?먭퉴吏€??諛⑹넚???ㅼ쓣 ???덈떎.\"},{\"step 3\":\"媛묒씠 A?먯꽌 異쒕컻?섏뿬 40km 吏€?먭퉴吏€ ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 40km / 50km/h = 0.8?쒓컙, 利?48遺꾩씠??\"},{\"step 4\":\"?꾩씠 B?먯꽌 異쒕컻?섏뿬 40km 吏€?먭퉴吏€ ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 40km / 48km/h ??0.833?쒓컙, 利???50遺꾩씠??\"},{\"step 5\":\"媛묎낵 ?꾩씠 ?숈떆??異쒕컻?섎?濡? 媛묒? 9??48遺꾩뿉 諛⑹넚???ㅼ쓣 ???녾퀬, ?꾩? 9??50遺꾩뿉 諛⑹넚???ㅼ쓣 ???녿떎.\"},{\"step 6\":\"?곕씪??諛⑹넚???ㅼ쓣 ???녿뒗 ?쒓컙?€??9??48遺꾨???9??50遺꾧퉴吏€?대떎.\"},{\"answer\":\"9??48遺꾨???9??50遺꾧퉴吏€\"}]','2025-08-28 03:48:44.822040','uploads/637afea2-2395-4868-9932-8a4a93e86826.png',NULL,9,NULL,12),(166,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜?媛€誘€濡? P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 - 0.13?쒓컙 = 1.17?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.17?쒓컙 ?숈븞 50km/h???띾룄濡??대룞?섎?濡? 1.17?쒓컙 * 50km/h = 58.5km瑜??대룞?????덈떎. ?섏?留??ㅼ젣濡쒕뒗 6.5km留??대룞?섎㈃ ?쒕떎. ?곕씪??踰꾩뒪??洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ ?대룞?쒕떎.\"},{\"step 6\":\"寃곌뎅 洹몃９ A??P源뚯? 6.5km瑜?嫄룰퀬, 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?嫄룸뒗??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄룸뒗??\"}]','2025-08-28 03:49:25.414841','uploads/673afda9-3514-4d7e-a135-b208b7be7f7f.png',NULL,9,NULL,12),(167,'[{\"step 1\":\"A?€ B瑜?媛꾨떒???뺣━?쒕떎. A = 2^2 = 4, B = 3^3 = 27\"},{\"step 2\":\"54瑜??뚯씤?섎텇?댄븳?? 54 = 2 횞 3^3\"},{\"step 3\":\"54瑜?A?€ B濡??쒗쁽?쒕떎. 54 = 2 횞 B\"},{\"step 4\":\"54^2瑜?怨꾩궛?쒕떎. 54^2 = (2 횞 B)^2 = 2^2 횞 B^2 = A 횞 B^2\"},{\"answer\":\"54^2 = A 횞 B^2\"}]','2025-08-28 03:57:43.429931','uploads/5d90443d-6fe2-4982-9da8-8d6cf89450bd.png',NULL,3,NULL,12),(168,'[{\"step 1\":\"臾몄젣?먯꽌 媛묎낵 ?꾩씠 媛곴컖 A?€ B?먯꽌 異쒕컻?섏뿬 ?쒕줈 諛섎? 諛⑺뼢?쇰줈 ?대룞?쒕떎怨?二쇱뼱議뚮떎. 媛묒? ?쒖냽 50km, ?꾩? ?쒖냽 48km濡??대룞?쒕떎.\"},{\"step 2\":\"媛?湲곗?援?? 40km源뚯? ?꾪뙆瑜??≪텧?????덉쑝誘€濡? A?€ B?먯꽌 媛곴컖 40km ?⑥뼱吏?吏€?먭퉴吏€??諛⑹넚???ㅼ쓣 ???덈떎.\"},{\"step 3\":\"媛묒씠 A?먯꽌 異쒕컻?섏뿬 40km 吏€?먭퉴吏€ ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 40km / 50km/h = 0.8?쒓컙?대떎. ?꾩씠 B?먯꽌 異쒕컻?섏뿬 40km 吏€?먭퉴吏€ ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 40km / 48km/h ??0.833?쒓컙?대떎.\"},{\"step 4\":\"?곕씪??媛묎낵 ?꾩씠 媛곴컖 諛⑹넚???ㅼ쓣 ???녿뒗 ?쒓컙?€??0.8?쒓컙怨?0.833?쒓컙 ?댄썑遺€?곗씠?? ?????쒓컙 以???湲??쒓컙??0.833?쒓컙 ?댄썑遺€??諛⑹넚???ㅼ쓣 ???녿떎.\"},{\"answer\":\"媛묎낵 ?꾩씠 諛⑹넚???ㅼ쓣 ???녿뒗 ?쒓컙?€??異쒕컻 ????0.833?쒓컙 ?댄썑遺€?곗씠??\"}]','2025-08-28 03:58:12.153201','uploads/5cb0ffe0-3a00-4eb5-8cd5-c9c5cdf0b895.png',NULL,9,NULL,12),(169,'[{\"step 1\":\"臾몄젣?먯꽌 媛??щ엺???앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧??援ы빐???쒕떎. 珥?4??以?1?붿뿉 ?앹큹媛€ ?욎뿬 ?덈떎.\"},{\"step 2\":\"?몃룞???앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ 4??以?1?붿쓣 ?좏깮?섎뒗 寃껋씠誘€濡?\\\\( \\\\frac{1}{4} \\\\)?대떎.\"},{\"step 3\":\"吏€?먯씠 ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ ?몃룞???앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떆吏€ ?딆븯??寃쎌슦?먮쭔 媛€?ν븯?? ?곕씪??\\\\( \\\\frac{3}{4} \\\\times \\\\frac{1}{3} = \\\\frac{1}{4} \\\\)?대떎.\"},{\"step 4\":\"洹쒗쁽???앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ ?몃룞怨?吏€?먯씠 ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떆吏€ ?딆븯??寃쎌슦?먮쭔 媛€?ν븯?? ?곕씪??\\\\( \\\\frac{3}{4} \\\\times \\\\frac{2}{3} \\\\times \\\\frac{1}{2} = \\\\frac{1}{4} \\\\)?대떎.\"},{\"step 5\":\"留덉?留됱쑝濡?誘쇳샇媛€ ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ ?욎쓽 ???щ엺??紐⑤몢 ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떆吏€ ?딆븯??寃쎌슦?먮쭔 媛€?ν븯?? ?곕씪??\\\\( \\\\frac{3}{4} \\\\times \\\\frac{2}{3} \\\\times \\\\frac{1}{2} \\\\times 1 = \\\\frac{1}{4} \\\\)?대떎.\"},{\"answer\":\"?몃룞, 吏€?? 洹쒗쁽, 誘쇳샇媛€ ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ 媛곴컖 \\\\( \\\\frac{1}{4} \\\\)?대떎.\"}]','2025-08-28 04:00:05.161601','uploads/de8b58ca-e25f-4e24-902c-c3b2f01bc288.png',NULL,26,NULL,12),(170,'[{\"step 1\":\"二쇱뼱吏?媛믪쓣 ?댄빐?섏옄. A = 2^2?닿퀬 B = 3^3?대떎. ?곕씪??A = 4, B = 27?대떎.\"},{\"step 2\":\"54瑜??뚯씤?섎텇?댄븯?? 54 = 2 횞 3^3?대떎.\"},{\"step 3\":\"54^2瑜?怨꾩궛?섏옄. (2 횞 3^3)^2 = 2^2 횞 (3^3)^2 = 2^2 횞 3^6?대떎.\"},{\"step 4\":\"A?€ B瑜??ъ슜?섏뿬 54^2瑜??쒗쁽?섏옄. A = 2^2?닿퀬 B = 3^3?대?濡? 54^2 = A 횞 B^2?대떎.\"},{\"answer\":\"54^2 = A 횞 B^2\"}]','2025-08-28 04:04:04.440489','uploads/d7366a3f-6dcb-4775-961a-35e27c096837.png',NULL,3,NULL,12),(171,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??踰꾩뒪瑜??€怨?P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮??嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪???뚯븘媛€??洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 - 0.13?쒓컙 = 1.17?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.17?쒓컙 ?숈븞 50km/h濡??대룞?섎?濡? 1.17?쒓컙 * 50km/h = 58.5km瑜??대룞?????덈떎. ?섏?留??ㅼ젣濡쒕뒗 6.5km留??대룞?섍퀬 ?뚯븘媛€???섎?濡? 洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ 媛€????異⑸텇?섎떎.\"},{\"step 6\":\"洹몃９ A??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?踰꾩뒪濡??대룞?섍퀬, 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?嫄룸뒗??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-08-28 04:04:29.114434','uploads/1517d3d8-ac79-4b1f-be91-685961a94877.png',NULL,9,NULL,12),(172,'[{\"step 1\":\"A?€ B ?ъ씠??嫄곕━??120km?대떎. 媛묒? ?쒖냽 50km濡?A?먯꽌 B濡??대룞?섍퀬, ?꾩? ?쒖냽 48km濡?B?먯꽌 A濡??대룞?쒕떎.\"},{\"step 2\":\"媛?湲곗?援?? 40km源뚯? ?꾪뙆瑜??≪텧?????덈떎. ?곕씪??A 湲곗?援?쓽 ?꾪뙆 踰붿쐞??A?먯꽌 40km源뚯?, B 湲곗?援?쓽 ?꾪뙆 踰붿쐞??B?먯꽌 40km源뚯??대떎.\"},{\"step 3\":\"A?€ B ?ъ씠??120km 以묒뿉???꾪뙆媛€ ?우? ?딅뒗 援ш컙?€ 120km - 40km - 40km = 40km?대떎. ??援ш컙?먯꽌??諛⑹넚???ㅼ쓣 ???녿떎.\"},{\"step 4\":\"媛묎낵 ?꾩씠 ?숈떆??異쒕컻?섏뿬 ??40km 援ш컙???꾨떖?섎뒗 ?쒓컙??怨꾩궛?쒕떎. 媛묒? ?쒖냽 50km濡??대룞?섎?濡?40km瑜?媛€?붾뜲 40/50 ?쒓컙, ?꾩? ?쒖냽 48km濡??대룞?섎?濡?40km瑜?媛€?붾뜲 40/48 ?쒓컙??嫄몃┛??\"},{\"step 5\":\"媛묒씠 ?꾪뙆媛€ ?우? ?딅뒗 援ш컙???꾨떖?섎뒗 ?쒓컙?€ 40/50 = 0.8?쒓컙, ?꾩씠 ?꾨떖?섎뒗 ?쒓컙?€ 40/48 ??0.833?쒓컙?대떎. ?곕씪?????щ엺???숈떆???꾪뙆媛€ ?우? ?딅뒗 援ш컙???덈뒗 ?쒓컙?€ 9??48遺꾨???9??50遺꾧퉴吏€?대떎.\"},{\"answer\":\"諛⑹넚???ㅼ쓣 ???녿뒗 ?쒓컙?€??9??48遺꾨???9??50遺꾧퉴吏€?대떎.\"}]','2025-08-28 04:04:49.872229','uploads/380be65d-ee09-427b-9062-6834a65231bd.png',NULL,9,NULL,12),(173,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??洹?以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??踰꾩뒪瑜??€怨?P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮??嫄몄뼱媛€怨? 踰꾩뒪???뚯븘?€??洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ 踰꾩뒪瑜??€怨??⑥? 6.5km瑜?媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 5\":\"洹몃９ A??珥?6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀?? ?곕씪????洹몃９ 紐⑤몢 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"媛?洹몃９?€ 6.5km瑜?嫄몄뿀??\"}]','2025-08-28 04:05:35.356270','uploads/073b8bfa-9620-4209-8b84-fe3e8cf2a6aa.png',NULL,9,NULL,12),(174,'[{\"step 1\":\"A?€ B ?ъ씠??嫄곕━??120km?대떎. 媛묒? ?쒖냽 50km濡?A?먯꽌 B濡??대룞?섍퀬, ?꾩? ?쒖냽 48km濡?B?먯꽌 A濡??대룞?쒕떎.\"},{\"step 2\":\"媛?湲곗?援?? 40km源뚯? ?꾪뙆瑜??≪텧?????덈떎. ?곕씪??A 湲곗?援?쓽 ?꾪뙆 踰붿쐞??A?먯꽌 40km源뚯?, B 湲곗?援?쓽 ?꾪뙆 踰붿쐞??B?먯꽌 40km源뚯??대떎.\"},{\"step 3\":\"A?€ B ?ъ씠??嫄곕━媛€ 120km?대?濡? ???꾪뙆 踰붿쐞媛€ 寃뱀튂吏€ ?딅뒗?? ?곕씪??媛묎낵 ?꾩씠 ?꾪뙆瑜?諛쏆쓣 ???녿뒗 援ш컙?€ A?먯꽌 40km瑜??쒖쇅??80km 援ш컙?대떎.\"},{\"step 4\":\"媛묒? ?쒖냽 50km濡??대룞?섎?濡?80km 援ш컙??80/50 = 1.6?쒓컙 ?숈븞 ?꾪뙆瑜?諛쏆쓣 ???녿떎. ?꾩? ?쒖냽 48km濡??대룞?섎?濡?80/48 ??1.67?쒓컙 ?숈븞 ?꾪뙆瑜?諛쏆쓣 ???녿떎.\"},{\"answer\":\"媛묒? ??1.6?쒓컙, ?꾩? ??1.67?쒓컙 ?숈븞 ?꾪뙆瑜?諛쏆쓣 ???녿떎.\"}]','2025-08-28 04:06:17.978628','uploads/2fce49af-30f5-4ce9-87d4-8f0c1a1a810a.png',NULL,10,NULL,12),(175,'[{\"step 1\":\"臾몄젣?먯꽌 A=2^2, B=3^3?대씪怨?二쇱뼱議뚮떎. ?대? ?댁슜??54^2瑜?A?€ B濡??쒗쁽?댁빞 ?쒕떎.\"},{\"step 2\":\"54??2?€ 3??嫄곕벊?쒓낢?쇰줈 ?쒗쁽?????덈떎. 54 = 2 * 3^3?대떎.\"},{\"step 3\":\"54^2 = (2 * 3^3)^2 = 2^2 * (3^3)^2 = 2^2 * 3^6?대떎.\"},{\"step 4\":\"A = 2^2?닿퀬, B = 3^3?대?濡? 54^2 = A * B^2濡??쒗쁽?????덈떎.\"},{\"answer\":\"54^2 = A * B^2\"}]','2025-08-28 04:09:23.163965','uploads/48b06176-a816-4582-837b-dee4efedc6ce.png',NULL,6,NULL,12),(177,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???뺣━?⑸땲?? ?쇨컖??ABC??吏곴컖?쇨컖?뺤씠硫? C?먯꽌 吏곴컖?낅땲?? O??BC??以묒젏?낅땲?? ?쟏AB : ?쟏AC = 2:1?낅땲??\"},{\"step 2\":\"?쟏AB瑜?2x, ?쟏AC瑜?x濡??먭퀬, ?쇨컖??AOB?€ AOC???깆쭏???댁슜??媛곷룄瑜?援ы빀?덈떎. ?잹OA???쟏AB?€ ?쟏AC???⑹엯?덈떎.\"},{\"step 3\":\"?쇨컖??AOB?€ AOC??媛곴컖 ?쟏AB?€ ?쟏AC瑜??ы븿?섍퀬 ?덉쑝硫? O??BC??以묒젏?대?濡??€移?꽦???댁슜?????덉뒿?덈떎. ?잹OA = ?쟏AB + ?쟏AC = 2x + x = 3x?낅땲??\"},{\"step 4\":\"?쇨컖??ABC?먯꽌 ?잹AC = 90째 - (2x + x) = 90째 - 3x?낅땲?? ?잹OA???잹AC?€ ?숈씪??媛곷룄?낅땲??\"},{\"step 5\":\"二쇱뼱吏?議곌굔???곕씪 ?잹OA = 90째?낅땲?? ?곕씪???잹OA???ш린??90째?낅땲??\"},{\"answer\":\"90째\"}]','2025-08-28 14:33:30.092173','uploads/ce5bd73f-5ca0-4712-8a6b-97bf3598b6c0.png',NULL,15,NULL,12),(178,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ?쇨컖??ABC??吏곴컖?쇨컖?뺤씠怨? O??BC??以묒젏?대떎. ?쟏AB : ?쟏AC = 2:1?대씪??議곌굔??二쇱뼱議뚮떎.\"},{\"step 2\":\"?쟏AB?€ ?쟏AC??鍮꾩쑉??2:1?대?濡? ?쟏AB = 2x, ?쟏AC = x濡??????덈떎.\"},{\"step 3\":\"?쇨컖??AOB?€ AOC??媛곴컖 ?대벑蹂€?쇨컖?뺤씠誘€濡? ?잹OA = ?쟏AB = 2x, ?잺OA = ?쟏AC = x?대떎.\"},{\"step 4\":\"?쇨컖??AOC?먯꽌 ?잸OC = 180째 - 2x - x = 180째 - 3x?대떎. ?쇨컖??AOB?먯꽌 ?잸OB = 180째 - 2x - 2x = 180째 - 4x?대떎.\"},{\"step 5\":\"?잹OA???잸OB?€ ?잸OC??李⑥씠?대?濡? ?잹OA = (180째 - 4x) - (180째 - 3x) = x?대떎.\"},{\"answer\":\"?잹OA???ш린??x?대떎.\"}]','2025-08-28 14:35:26.891242','uploads/ce5bd73f-5ca0-4712-8a6b-97bf3598b6c0.png',NULL,15,NULL,12),(179,'[{\"step 1\":\"二쇱뼱吏???\\\\(x^2 - y^2 + x + y\\\\)瑜??몄닔遺꾪빐?쒕떎. \\\\(x^2 - y^2\\\\)?????쒓낢??李⑥씠濡?\\\\((x + y)(x - y)\\\\)濡??몄닔遺꾪빐?????덈떎.\"},{\"step 2\":\"?몄닔遺꾪빐???앹쓣 ?ㅼ떆 ?곕㈃ \\\\((x + y)(x - y) + x + y\\\\)媛€ ?쒕떎. ?ш린??\\\\(x + y\\\\)瑜?怨듯넻 ?몄닔濡?臾띠쑝硫?\\\\((x + y)((x - y) + 1)\\\\)媛€ ?쒕떎.\"},{\"step 3\":\"?곕씪??二쇱뼱吏??앹? \\\\((x + y)(x - y + 1)\\\\)濡??몄닔遺꾪빐?쒕떎. ?댁젣 媛??좏깮吏€瑜??뺤씤?섏뿬 ???앹쓽 ?몄닔媛€ ?꾨땶 寃껋쓣 李얜뒗??\"},{\"step 4\":\"?좏깮吏€ ??1?€ 紐⑤뱺 ?섏쓽 ?몄닔?대?濡??몄닔?대떎. ?좏깮吏€ ??\\\\(x + y\\\\)???몄닔?대떎. ?좏깮吏€ ??\\\\(x - y + 1\\\\)???몄닔?대떎. ?좏깮吏€ ??\\\\(x - y - 1\\\\)?€ ?몄닔???ы븿?섏? ?딅뒗?? ?좏깮吏€ ??\\\\((x + y)(x - y + 1)\\\\)?€ ?꾩껜 ?앷낵 ?숈씪?섎?濡??몄닔?대떎.\"},{\"step 5\":\"?곕씪??\\\\(x - y - 1\\\\)?€ 二쇱뼱吏??앹쓽 ?몄닔媛€ ?꾨땲??\"},{\"answer\":\"??\\\\(x - y - 1\\\\)\"}]','2025-08-28 15:04:09.058944','uploads/e2f5ca72-d0ae-4e86-b875-5406bcf88ada.png',NULL,8,NULL,13),(180,'[{\"step 1\":\"?ㅻ젋吏€ 二쇱뒪 4??以?1?붿뿉 ?앹큹媛€ ?욎뿬 ?덈떎. ?몃룞, 吏€?? 洹쒗쁽, 誘쇳샇媛€ ?쒖꽌?€濡??붿쓣 ?좏깮?쒕떎.\"},{\"step 2\":\"?몃룞???앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ 1/4?대떎. ?대뒗 4??以?1?붿쓣 ?좏깮?????앹큹媛€ ?욎씤 ?붿쓣 怨좊? ?뺣쪧?대떎.\"},{\"step 3\":\"?몃룞???앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떆吏€ ?딆븯??寃쎌슦, 吏€?먯씠 ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ 1/3?대떎. ?대뒗 ?⑥? 3??以?1?붿쓣 ?좏깮?????앹큹媛€ ?욎씤 ?붿쓣 怨좊? ?뺣쪧?대떎.\"},{\"step 4\":\"留덉갔媛€吏€濡? 洹쒗쁽???앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ 1/2?대떎. ?대뒗 ?⑥? 2??以?1?붿쓣 ?좏깮?????앹큹媛€ ?욎씤 ?붿쓣 怨좊? ?뺣쪧?대떎.\"},{\"step 5\":\"留덉?留됱쑝濡? 誘쇳샇媛€ ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ 1?대떎. ?대뒗 ?⑥? 1?붿씠 ?앹큹媛€ ?욎씤 ?붿씠湲??뚮Ц?대떎.\"},{\"answer\":\"?몃룞, 吏€?? 洹쒗쁽, 誘쇳샇媛€ ?앹큹媛€ ?욎씤 二쇱뒪瑜?留덉떎 ?뺣쪧?€ 媛곴컖 1/4, 1/3, 1/2, 1?대떎.\"}]','2025-08-28 15:05:34.798090','uploads/a1a1bf71-15f9-4735-a13c-2061fa8184c1.png',NULL,26,NULL,13),(181,'[{\"step 1\":\"A?€ B ?ъ씠??嫄곕━??120km?대떎. 媛묒? ?쒖냽 50km濡?A?먯꽌 B濡??대룞?섍퀬, ?꾩? ?쒖냽 48km濡?B?먯꽌 A濡??대룞?쒕떎.\"},{\"step 2\":\"媛?湲곗?援?? 40km源뚯? ?꾪뙆瑜??≪텧?????덈떎. ?곕씪??A 湲곗?援?쓽 ?꾪뙆 踰붿쐞??A?먯꽌 40km源뚯?, B 湲곗?援?쓽 ?꾪뙆 踰붿쐞??B?먯꽌 40km源뚯??대떎.\"},{\"step 3\":\"A?€ B ?ъ씠???꾪뙆媛€ ?우? ?딅뒗 援ш컙?€ 120km - 40km - 40km = 40km?대떎. ??援ш컙?먯꽌??諛⑹넚???ㅼ쓣 ???녿떎.\"},{\"step 4\":\"媛묎낵 ?꾩씠 ?숈떆??異쒕컻?섏뿬 ??40km 援ш컙???꾨떖?섎뒗 ?쒓컙??怨꾩궛?쒕떎. 媛묒? ?쒖냽 50km濡??대룞?섎?濡?40km源뚯? 40/50 ?쒓컙, ?꾩? ?쒖냽 48km濡??대룞?섎?濡?40km源뚯? 40/48 ?쒓컙??嫄몃┛??\"},{\"step 5\":\"媛묒씠 40km 援ш컙???꾨떖?섎뒗 ?쒓컙?€ 0.8?쒓컙, ?꾩씠 40km 援ш컙???꾨떖?섎뒗 ?쒓컙?€ ??0.833?쒓컙?대떎. ?곕씪?????щ엺???숈떆??諛⑹넚???ㅼ쓣 ???녿뒗 ?쒓컙?€??9??48遺꾨?????9??50遺꾧퉴吏€?대떎.\"},{\"answer\":\"9??48遺꾨?????9??50遺꾧퉴吏€ 諛⑹넚???ㅼ쓣 ???녿떎.\"}]','2025-08-28 15:06:33.323397','uploads/cb5a0637-0287-4928-bf23-bcb184dc12c4.png',NULL,9,NULL,13),(182,'[{\"step 1\":\"臾몄젣?먯꽌 洹몃９ A?€ B媛€ ?숈떆??異쒕컻?섏뿬 13km ?⑥뼱吏?寃쎄린?μ쑝濡??대룞?쒕떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨?媛꾨떎. 以묎컙 吏€??P?먯꽌 洹몃９ B??踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??A瑜??쒖슦???뚯븘媛꾨떎. ??洹몃９?€ ?숈떆???꾩갑?쒕떎.\"},{\"step 2\":\"以묎컙 吏€??P??13km???덈컲??6.5km 吏€?먯씠?? 洹몃９ B??6.5km瑜?踰꾩뒪濡??대룞?섍퀬, ?섎㉧吏€ 6.5km瑜?嫄룸뒗?? 洹몃９ A??泥섏쓬遺€???앷퉴吏€ 嫄룸뒗??\"},{\"step 3\":\"洹몃９ B媛€ 踰꾩뒪瑜??€怨?6.5km瑜??대룞?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?섎㉧吏€ 6.5km瑜?嫄룸뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎. ?곕씪??洹몃９ B??珥??대룞 ?쒓컙?€ 0.13 + 1.3 = 1.43?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ A??13km瑜??쒖냽 5km濡?嫄룸뒗?? ?곕씪??洹몃９ A??珥??대룞 ?쒓컙?€ 13km / 5km/h = 2.6?쒓컙?대떎. ?섏?留???洹몃９???숈떆???꾩갑?댁빞 ?섎?濡? 踰꾩뒪媛€ 洹몃９ A瑜??쒖슦怨??섎㉧吏€ 嫄곕━瑜??대룞?섎뒗 ?쒓컙??怨좊젮?댁빞 ?쒕떎.\"},{\"step 5\":\"踰꾩뒪媛€ 洹몃９ A瑜??쒖슦???뚯븘媛€???쒓컙怨?洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞?섎뒗 ?쒓컙??怨꾩궛?섏뿬 ??洹몃９???숈떆???꾩갑?섎룄濡?議곗젙?쒕떎. ??怨쇱젙?먯꽌 洹몃９ A媛€ 嫄룸뒗 嫄곕━?€ 踰꾩뒪瑜??€怨??대룞?섎뒗 嫄곕━瑜?援ы븳??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄룰퀬, ?섎㉧吏€ 6.5km瑜?踰꾩뒪瑜??€怨??대룞?쒕떎. 洹몃９ B??6.5km瑜?踰꾩뒪濡??대룞?섍퀬, ?섎㉧吏€ 6.5km瑜?嫄룸뒗??\"}]','2025-08-28 15:07:09.679640','uploads/acb7ca6e-7f1c-4ec1-a475-924f00ef1edc.png',NULL,9,NULL,13),(183,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??댄빐?쒕떎. ?쇨컖??ABC?먯꽌 O??BC??以묒젏?대ʼn, ?쟏AB : ?쟏AC = 2:1?대떎. ?잹OA???ш린瑜?援ы빐???쒕떎.\"},{\"step 2\":\"?쟏AB?€ ?쟏AC??鍮꾩쑉??2:1?대?濡? ?쟏AB = 2x, ?쟏AC = x濡??ㅼ젙?쒕떎. ?곕씪???잹AC = 3x媛€ ?쒕떎.\"},{\"step 3\":\"O媛€ BC??以묒젏?대?濡?OB = OC?대떎. ?쇨컖??AOB?€ AOC??OA瑜?怨듭쑀?섍퀬, OB = OC?대?濡? ?잹OA?€ ?잺OA??媛숇떎.\"},{\"step 4\":\"?잹OA?€ ?잺OA媛€ 媛숆퀬, ?잹AC = 3x?대?濡? ?잹OA = ?잺OA = 1.5x媛€ ?쒕떎. ?곕씪???잹OA = 1.5x?대떎.\"},{\"step 5\":\"?쟏AB : ?쟏AC = 2:1?대?濡? ?잹OA = 60?꾩씠?? ?대뒗 ?쇨컖?뺤쓽 ?닿컖???⑹씠 180?꾩엫???댁슜?섏뿬 怨꾩궛?????덈떎.\"},{\"answer\":\"?잹OA = 60??"}]','2025-08-28 15:09:57.306255','uploads/de4763a7-907d-4cac-954c-cf247d38aa62.png',NULL,15,NULL,13),(184,'[{\"step 1\":\"二쇱뼱吏??뺣낫瑜??댄빐?쒕떎. ?쇨컖??ABC??吏곴컖?쇨컖?뺤씠硫? O??BC??以묒젏?대떎. ?쟏AB : ?쟏AC = 2:1?대떎.\"},{\"step 2\":\"?쟏AB?€ ?쟏AC??鍮꾩쑉???댁슜?섏뿬 媛곸쓣 ?ㅼ젙?쒕떎. ?쟏AB = 2x, ?쟏AC = x濡??먭퀬, ????媛곸씠 AO瑜?怨듭쑀?섎뒗 ?몄젒媛곸엫???뺤씤?쒕떎.\"},{\"step 3\":\"O媛€ BC??以묒젏?대?濡?BO = OC?대떎. ???뺣낫瑜??댁슜?섏뿬 ?쇨컖??ABO?€ ACO???깆쭏??遺꾩꽍?쒕떎.\"},{\"step 4\":\"?쇨컖??ABO?€ ACO?먯꽌 AO瑜?湲곗??쇰줈 ?€移?꽦??怨좊젮?섏뿬 ?잹OA瑜?援ы븳?? ?잹OA???쟏AB?€ ?쟏AC???⑹씠誘€濡? ?잹OA = 2x + x = 3x?대떎.\"},{\"step 5\":\"?쟏AB : ?쟏AC = 2:1?대?濡? 2x + x = 3x = 90째媛€ ?섏뼱???쒕떎. ?곕씪??x = 30째?대떎. 洹몃윭誘€濡??잹OA = 3x = 90째?대떎.\"},{\"answer\":\"90째\"}]','2025-08-28 15:12:21.884199','uploads/897b2e56-145f-4ea7-9c69-0290b366d45a.png',NULL,15,NULL,13),(185,'[{\"step 1\":\"90??紐⑤뱺 ?쎌닔瑜?李얜뒗?? 90?€ 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90???쎌닔瑜?媛€吏꾨떎.\"},{\"step 2\":\"???쎌닔??以묒뿉??媛€????媛믪쓣 李얜뒗??\"},{\"step 3\":\"媛€?????쎌닔??90 ?먯떊?대떎.\"},{\"answer\":\"90\"}]','2025-08-28 15:12:33.832917','uploads/7f5883b9-4c10-4b6e-80b1-b00382d120ea.png',NULL,1,NULL,13),(186,'[{\"step 1\":\"二쇱뼱吏??쇨컖?뺤쓽 ??蹂€??湲몄씠??m^2+4, 4m, m^2-4?대떎. ???쇨컖?뺤씠 吏곴컖?쇨컖?뺤씤吏€ ?뺤씤?섍린 ?꾪빐 ?쇳?怨좊씪???뺣━瑜??ъ슜?쒕떎.\"},{\"step 2\":\"?쇳?怨좊씪???뺣━???곕Ⅴ硫? 吏곴컖?쇨컖?뺤쓽 寃쎌슦 鍮쀫????쒓낢?€ ?ㅻⅨ ??蹂€???쒓낢???⑷낵 媛숇떎. ?ш린??m^2+4媛€ 鍮쀫??대씪怨?媛€?뺥븳??\"},{\"step 3\":\"m^2+4???쒓낢?€ (m^2+4)^2 = m^4 + 8m^2 + 16?대떎. ?ㅻⅨ ??蹂€???쒓낢???⑹? (4m)^2 + (m^2-4)^2 = 16m^2 + (m^4 - 8m^2 + 16)?대떎.\"},{\"step 4\":\"??蹂€???쒓낢???⑹? m^4 + 8m^2 + 16?쇰줈, ?대뒗 鍮쀫????쒓낢怨?媛숇떎. ?곕씪?????쇨컖?뺤? 吏곴컖?쇨컖?뺤씠??\"},{\"answer\":\"二쇱뼱吏??쇨컖?뺤? 吏곴컖?쇨컖?뺤씠??\"}]','2025-08-28 15:15:51.341052','uploads/0cdec9fc-3362-45cb-ae71-5030c7c87f1c.png',NULL,20,NULL,13),(191,'[{\"step 1\":\"二쇱뼱吏???\\\\(x^2 - y^2 + x + y\\\\)???몄닔遺꾪빐?쒕떎. \\\\(x^2 - y^2\\\\)??\\\\((x+y)(x-y)\\\\)濡??몄닔遺꾪빐?????덈떎.\"},{\"step 2\":\"??\\\\(x^2 - y^2 + x + y\\\\)??\\\\((x+y)(x-y) + x + y\\\\)濡??????덈떎. \\\\(x+y\\\\)瑜?怨듯넻 ?몄닔濡?臾띠쑝硫?\\\\((x+y)((x-y)+1)\\\\)媛€ ?쒕떎.\"},{\"step 3\":\"?곕씪??\\\\(x^2 - y^2 + x + y\\\\)??\\\\((x+y)(x-y+1)\\\\)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 4\":\"二쇱뼱吏??좏깮吏€ 以묒뿉??\\\\((x+y)(x-y+1)\\\\)???대? ?몄닔濡??ы븿?섏뼱 ?덈떎. ?곕씪??\\\\(x-y-1\\\\)???몄닔媛€ ?꾨땲??\"},{\"answer\":\"??\\\\(x - y - 1\\\\)\"}]','2025-08-28 18:40:55.423719','uploads/d9707a0e-6481-4acd-9818-ef7daf6c116c.png',NULL,8,NULL,12),(192,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.3?쒓컙 ?숈븞 50km/h???띾룄濡??대룞?섎?濡? 1.3?쒓컙 * 50km/h = 65km瑜??대룞?????덈떎. ?섏?留??ㅼ젣濡쒕뒗 6.5km留??대룞?섎㈃ ?섎?濡? 踰꾩뒪??異⑸텇??洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ 媛????덈떎.\"},{\"step 6\":\"洹몃９ A??P源뚯? 6.5km瑜?嫄몄뿀怨? 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?嫄몄뿀?? ?곕씪????洹몃９ 紐⑤몢 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"媛?洹몃９?€ 6.5km瑜?嫄몄뿀??\"}]','2025-08-28 20:13:39.322710','uploads/12c9bcac-d8f9-4fa3-b626-6ef22f478df8.png',NULL,9,NULL,12),(193,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜?媛€誘€濡? P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??洹몃９ A瑜??쒖슦???뚯븘媛꾨떎. 洹몃９ A??踰꾩뒪瑜??€怨??⑥? 6.5km瑜?媛꾨떎.\"},{\"step 5\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨?6.5km瑜?媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?곕씪??洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 6\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-08-28 20:14:23.305971','uploads/0d3d1a53-6cbc-4671-b77c-d7088a419594.png',NULL,9,NULL,12),(194,'[{\"step 1\":\"臾몄젣 ?댄빐?섍린: ??洹몃９ A?€ B媛€ ?숆탳?먯꽌 13km ?⑥뼱吏?寃쎄린?μ쑝濡??대룞?쒕떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨??대룞?쒕떎. 以묎컙 吏€??P?먯꽌 洹몃９ B??踰꾩뒪?먯꽌 ?대젮 ?쒖냽 2km濡?嫄룸뒗?? 踰꾩뒪??利됱떆 ?뚯븘?€ 洹몃９ A瑜??쒖슦怨?寃쎄린?μ쑝濡?媛꾨떎. ??洹몃９?€ ?숈떆???꾩갑?쒕떎. 媛?洹몃９??嫄몄? 嫄곕━瑜?援ы븯??\"},{\"step 2\":\"洹몃９ A???대룞 ?쒓컙 怨꾩궛: 洹몃９ A??13km瑜??쒖냽 5km濡?嫄룸뒗?? ?곕씪???대룞 ?쒓컙 t??13/5 = 2.6?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B???대룞 ?쒓컙 怨꾩궛: 洹몃９ B??6.5km瑜??쒖냽 50km濡?踰꾩뒪瑜??€怨??대룞???? 6.5km瑜??쒖냽 2km濡?嫄룸뒗?? 踰꾩뒪 ?대룞 ?쒓컙?€ 6.5/50 = 0.13?쒓컙, 嫄룸뒗 ?쒓컙?€ 6.5/2 = 3.25?쒓컙?대떎. 珥??대룞 ?쒓컙?€ 0.13 + 3.25 = 3.38?쒓컙?대떎.\"},{\"step 4\":\"踰꾩뒪媛€ 洹몃９ A瑜??쒖슦怨??대룞?섎뒗 ?쒓컙 怨좊젮: 洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞?섎뒗 ?쒓컙??怨좊젮?섏뿬 ??洹몃９???숈떆???꾩갑?섎룄濡?議곗젙?쒕떎. 洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞??嫄곕━瑜?怨꾩궛?섏뿬 ??洹몃９???꾩갑 ?쒓컙??留욎텣??\"},{\"step 5\":\"??洹몃９???꾩갑 ?쒓컙 ?쇱튂?쒗궎湲? 洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞??嫄곕━?€ ?쒓컙??議곗젙?섏뿬 ??洹몃９???숈떆???꾩갑?섎룄濡??쒕떎. ?대? ?듯빐 媛?洹몃９??嫄몄? 嫄곕━瑜??뺥솗??怨꾩궛?쒕떎.\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-08-28 20:14:36.777148','uploads/42d64d29-b3a5-4a0d-b780-0aef5f596e5b.png',NULL,9,NULL,12),(195,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??洹?以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜?媛€誘€濡? P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮??嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??洹몃９ A瑜??쒖슦???뚯븘媛꾨떎. 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ 媛€?붾뜲, 洹몃９ A媛€ P???꾩갑????踰꾩뒪瑜??€怨?寃쎄린?κ퉴吏€ 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 6\":\"?곕씪??洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄룸뒗?? ??洹몃９ 紐⑤몢 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A?€ 洹몃９ B??媛곴컖 6.5km瑜?嫄몄뿀??\"}]','2025-09-28 19:03:50.072495','uploads/75143be1-26b7-4c75-a324-39da5ef8877b.png',NULL,9,NULL,5),(196,'[{\"step 1\":\"臾몄젣瑜??댄빐?섏옄. ?좊텇 AB媛€ ?덇퀬, M?€ 洹??좊텇??以묒젏?대떎. AB??湲몄씠??8cm?대떎. ?곕━??AM??湲몄씠瑜?李얠븘???쒕떎.\"},{\"step 2\":\"以묒젏???깆쭏???곸슜?섏옄. M??以묒젏?대?濡?AM?€ AB???덈컲?대떎.\"},{\"step 3\":\"怨꾩궛???듯빐 AM??湲몄씠瑜?援ы븯?? AM = (1/2) * AB = (1/2) * 8cm = 4cm.\"},{\"answer\":\"4cm\"}]','2025-09-28 23:49:52.869772','uploads/09f8ac30-7bd8-41e3-976f-5ee3b8dc9fe0.png',NULL,15,NULL,12),(197,'[{\"step 1\":\"臾몄젣??1遺€??12源뚯????レ옄媛€ ?곹엺 怨?以묒뿉???レ옄媛€ 3??諛곗닔?닿굅??10???쎌닔??怨듭쓽 媛쒖닔瑜?李얜뒗 寃껋씠??\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以?3??諛곗닔瑜?李얜뒗?? 3??諛곗닔??{3, 6, 9, 12}?대떎.\"},{\"step 3\":\"1遺€??12源뚯????レ옄 以?10???쎌닔瑜?李얜뒗?? 10???쎌닔??{1, 2, 5, 10}?댁?留? 1遺€??12源뚯???踰붿쐞 ?댁뿉?쒕뒗 {1, 2, 5, 10}?대떎.\"},{\"step 4\":\"3??諛곗닔 吏묓빀 {3, 6, 9, 12}?€ 10???쎌닔 吏묓빀 {1, 2, 5, 10}???⑹쭛?⑹쓣 援ы븳?? ?⑹쭛?⑹? {1, 2, 3, 5, 6, 9, 10, 12}?대떎.\"},{\"step 5\":\"?⑹쭛?⑹쓽 ?먯냼 媛쒖닔瑜??쇰떎. 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 00:12:36.867060','uploads/0dbac844-f47c-426a-b229-e4b959ac24de.png',NULL,1,NULL,12),(198,'[{\"step 1\":\"二쇱뼱吏??앹? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?대떎. ???앹뿉??媛숈? 猷⑦듃瑜?媛€吏???뱾???뷀븯怨?鍮쇱빞 ?쒕떎.\"},{\"step 2\":\"癒쇱? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?€ <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>瑜??뷀븯硫?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>媛€ ?쒕떎.\"},{\"step 3\":\"?댁젣 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?먯꽌 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>瑜?鍮쇰㈃ <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>媛€ ?쒕떎.\"},{\"answer\":\"2\\\\sqrt{2}\"}]','2025-09-29 01:38:08.136353','uploads/75bf8859-4bf0-4aa0-9bcd-2f88630f1865.png',NULL,5,NULL,12),(199,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 01:40:16.589264','uploads/08ac2a6d-1110-4123-919c-16240177379e.png',NULL,8,NULL,12),(200,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 02:05:16.744854','uploads/86353c99-da20-4bbd-91ef-7d7c6b7f7dc6.png',NULL,8,NULL,12),(201,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M?먯꽌 ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늻誘€濡? |AM| = |MB| = 8cm / 2?대떎.\"},{\"step 3\":\"怨꾩궛???듯빐 |AM| = 4cm?꾩쓣 ?????덈떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 02:20:54.737310','uploads/9849e03f-0a04-43ff-b1ce-9fbf34d3b4a9.png',NULL,15,NULL,12),(202,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 03:20:33.454451','uploads/e2fcf9ce-3a28-470d-911a-5e8d1254b625.png',NULL,8,NULL,12),(203,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 03:21:41.823327','uploads/e2fcf9ce-3a28-470d-911a-5e8d1254b625.png',NULL,8,NULL,12),(204,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡??꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 03:22:05.929500','uploads/efd9cac5-3a66-4d1d-bedf-39b6107c18c9.png',NULL,8,NULL,12),(205,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 03:23:11.687211','uploads/efd9cac5-3a66-4d1d-bedf-39b6107c18c9.png',NULL,8,NULL,12),(206,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙 ??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙 ??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 03:23:25.142242','uploads/fe129963-fd14-4122-b799-d105e9d2c13f.png',NULL,8,NULL,12),(207,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 03:25:43.401271','uploads/a718546e-d80e-4b0f-bcac-370a8c63620d.png',NULL,8,NULL,12),(208,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙 ??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙 ??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 03:27:24.065313','uploads/65c20a12-0097-4848-8c9b-f0f488204243.png',NULL,8,NULL,12),(209,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? |AM|怨?|MB|??媛곴컖 8cm瑜?諛섏쑝濡??섎늿 媛믪씠??\"},{\"step 4\":\"?곕씪??|AM|??湲몄씠??8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 03:29:00.356744','uploads/5cdf712a-101b-4ff4-85a8-31dbe06f36bd.png',NULL,15,NULL,12),(210,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 03:30:56.463448','uploads/a2cbd741-afea-4fd8-b3fe-e912b6af8c46.png',NULL,1,NULL,12),(211,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???깆쭏???댄빐?쒕떎. 以묒젏 M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? 利? |AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB??湲몄씠瑜?諛섏쑝濡??섎늻??|AM|??湲몄씠瑜?怨꾩궛?쒕떎. |AM| = |AB| / 2 = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 03:32:15.930613','uploads/1d8419b3-2405-46f0-95d8-d5cdcbea3d96.png',NULL,15,NULL,12),(212,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥쑝硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 03:34:43.284431','uploads/919fcc08-04f6-48bf-97f9-b666547faf0f.png',NULL,1,NULL,12),(213,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 03:46:45.514577','uploads/eafd4452-ebbe-4e24-8491-a9cc607c46e7.png',NULL,1,NULL,12),(214,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???쒓굅???? 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 03:48:50.374966','uploads/e4893688-259a-4e56-bfd4-6ec78e028244.png',NULL,1,NULL,12),(215,'[{\"step 1\":\"臾몄젣瑜??댄빐?섏옄. ?좊텇 AB媛€ ?덇퀬, M?€ 洹??좊텇??以묒젏?대떎. |AB| = 8cm???? |AM|??湲몄씠瑜?援ы븯??\"},{\"step 2\":\"以묒젏??媛쒕뀗???ъ슜?섏옄. 以묒젏?€ ?좊텇????媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪?? AM = MB = |AB| / 2?대떎.\"},{\"step 3\":\"二쇱뼱吏?媛믪쓣 ?€?낇븯?? |AM| = 8cm / 2 = 4cm?대떎.\"},{\"step 4\":\"寃곕줎?곸쑝濡? |AM|??湲몄씠??4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 03:52:08.045317','uploads/707a000a-2ca2-45a2-8a06-cab4bb52eef5.png',NULL,15,NULL,12),(216,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M?먯꽌 ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늻誘€濡? |AM| = |MB| = 8cm / 2?대떎.\"},{\"step 3\":\"怨꾩궛???듯빐 |AM| = 4cm?꾩쓣 ?????덈떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 03:52:21.251078','uploads/707a000a-2ca2-45a2-8a06-cab4bb52eef5.png',NULL,15,NULL,12),(217,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 03:53:45.856901','uploads/707a000a-2ca2-45a2-8a06-cab4bb52eef5.png',NULL,15,NULL,12),(218,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 03:56:42.619017','uploads/4c70d3ed-30e4-456c-8e36-344b375a8d20.png',NULL,1,NULL,12),(219,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ ?덈떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以묒뿉??10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10???덈떎.\"},{\"step 3\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥??? 1, 2, 3, 5, 6, 9, 10, 12媛€ ?덈떎.\"},{\"step 4\":\"以묐났???쒓굅???? 珥?紐?媛쒖쓽 ?レ옄媛€ ?덈뒗吏€ ?쇰떎. 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 04:00:55.169772','uploads/ac1729a2-0c2d-4c2b-b4d0-2651f0fff903.png',NULL,1,NULL,12),(220,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났 ?놁씠 ?レ옄瑜??몃㈃ 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 04:01:21.155830','uploads/ac1729a2-0c2d-4c2b-b4d0-2651f0fff903.png',NULL,1,NULL,12),(221,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:09:49.150731','uploads/199d3839-7120-4121-bd9b-8e865f63bd6e.png',NULL,1,NULL,12),(222,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥쑝硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"???レ옄?ㅼ쓽 媛쒖닔瑜??몄뼱蹂대㈃ 珥?8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:10:01.742013','uploads/199d3839-7120-4121-bd9b-8e865f63bd6e.png',NULL,1,NULL,12),(223,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???レ옄瑜??쒓굅?섍퀬 ?섎㈃ 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 04:11:08.619224','uploads/b366458d-fdc7-4465-823b-013ecf138f97.png',NULL,1,NULL,12),(224,'[{\"step 1\":\"臾몄젣?먯꽌 1遺€??12源뚯????レ옄媛€ ?곹엺 怨듭씠 媛곴컖 ?섎굹???ㅼ뼱 ?덈뒗 ?곸옄媛€ ?덈떎. ??以묒뿉???レ옄媛€ 3??諛곗닔?닿굅??10???쎌닔??怨듭쓽 媛쒖닔瑜?李얠븘???쒕떎.\"},{\"step 2\":\"3??諛곗닔???レ옄瑜?李얜뒗?? 1遺€??12源뚯????レ옄 以?3??諛곗닔??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄瑜?李얜뒗?? 1遺€??12源뚯????レ옄 以?10???쎌닔??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튇?? 以묐났???쒓굅?섎㈃ 1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:11:19.786659','uploads/b366458d-fdc7-4465-823b-013ecf138f97.png',NULL,1,NULL,12),(225,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 04:11:31.346878','uploads/5acbc620-d9e3-4b8d-bc8f-46bedb7d1c5c.png',NULL,15,NULL,12),(226,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? |AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 04:11:44.408356','uploads/5acbc620-d9e3-4b8d-bc8f-46bedb7d1c5c.png',NULL,15,NULL,12),(227,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?€ 10???쎌닔瑜?紐⑤몢 ?ы븿?섎뒗 ?レ옄??1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:16:38.339976','uploads/5df279cd-6c13-4430-a534-ccf9e6b27798.png',NULL,1,NULL,12),(228,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:17:01.255908','uploads/5df279cd-6c13-4430-a534-ccf9e6b27798.png',NULL,1,NULL,12),(229,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 04:17:16.423107','uploads/fecd20db-5550-457f-a161-4076d96428fa.png',NULL,15,NULL,12),(230,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M?먯꽌 ?좊텇????媛쒖쓽 媛숈? 湲몄씠濡??섎늻誘€濡? |AM| = |MB| = 8cm / 2?대떎.\"},{\"step 3\":\"怨꾩궛???듯빐 |AM| = 4cm?꾩쓣 ?????덈떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 04:17:23.479448','uploads/fecd20db-5550-457f-a161-4076d96428fa.png',NULL,15,NULL,12),(231,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??댄빐?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ AB??以묒젏?대떎. ?곕씪??AM怨?MB??湲몄씠??媛숇떎.\"},{\"step 2\":\"以묒젏???깆쭏???곸슜?쒕떎. 以묒젏 M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??AM = MB?대떎.\"},{\"step 3\":\"AM??湲몄씠瑜?怨꾩궛?쒕떎. 以묒젏???깆쭏???곕씪 AM??湲몄씠??AB???덈컲?대떎. ?곕씪??|AM| = |AB| / 2?대떎.\"},{\"step 4\":\"二쇱뼱吏?媛믪쓣 ?€?낇븯??怨꾩궛?쒕떎. |AB| = 8cm?대?濡?|AM| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 04:21:40.282514','uploads/768e2e2a-a2ab-455a-8753-c27127f613ce.png',NULL,15,NULL,12),(232,'[{\"step 1\":\"??M???좊텇 AB??以묒젏?대?濡? ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿??\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? ?대? 諛섏쑝濡??섎늻??媛?遺€遺꾩쓽 湲몄씠瑜?援ы븳??\"},{\"step 3\":\"8cm瑜?2濡??섎늻硫? 媛?遺€遺꾩쓽 湲몄씠??4cm媛€ ?쒕떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 04:22:01.087199','uploads/768e2e2a-a2ab-455a-8753-c27127f613ce.png',NULL,15,NULL,12),(233,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?섑븷 ???덈떎. ?대뒗 (5x)^2 - 2(5x)(1) + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:22:22.847747','uploads/334ed9ce-4068-4b32-ab8c-58642d861f48.png',NULL,8,NULL,12),(234,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:24:06.849226','uploads/e046a5b5-16c5-44ff-9beb-475e7eaaf551.png',NULL,1,NULL,12),(235,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???쒓굅???? 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 04:24:24.813588','uploads/e046a5b5-16c5-44ff-9beb-475e7eaaf551.png',NULL,1,NULL,12),(236,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:24:45.278424','uploads/99dd14c9-a7bd-4c2b-b012-1f78bf255e90.png',NULL,8,NULL,12),(237,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢?앹쓽 ?뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:27:43.971884','uploads/ce22be61-8e68-45a2-92d1-5c48ee54fdd6.png',NULL,8,NULL,12),(238,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:27:52.078955','uploads/ce22be61-8e68-45a2-92d1-5c48ee54fdd6.png',NULL,8,NULL,12),(239,'[{\"step 1\":\"??M???좊텇 AB??以묒젏?대씪??寃껋쓣 ?뺤씤?쒕떎. ?대뒗 AM = MB瑜??섎??쒕떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm濡?二쇱뼱議뚯쑝誘€濡? ?대? ??M?먯꽌 諛섏쑝濡??섎늿?? |AM| = |AB| / 2 = 8cm / 2\"},{\"step 3\":\"?섎닓?덉쓣 ?섑뻾?섏뿬 |AM|??湲몄씠瑜?援ы븳?? |AM| = 4cm\"},{\"answer\":\"4cm\"}]','2025-09-29 04:28:18.849161','uploads/6355ff6e-3a6b-4097-9b0c-c70590db63f0.png',NULL,15,NULL,12),(240,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡??꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:29:10.036226','uploads/89f685bb-8eff-40c9-9bc5-da1292d4a216.png',NULL,8,NULL,12),(241,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢?앹쓽 ?뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡??꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:33:09.717607','uploads/158aae37-71f0-4497-ac6e-e41cd958dae4.png',NULL,8,NULL,12),(242,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"???レ옄?ㅼ쓽 媛쒖닔瑜??몄뼱蹂대㈃ 珥?8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:38:55.982931','uploads/9cf19c2a-f056-4b20-a3fc-95fb59e93e23.png',NULL,1,NULL,12),(243,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???レ옄瑜??쒓굅?섍퀬 ?섎㈃ 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 04:39:15.345672','uploads/9cf19c2a-f056-4b20-a3fc-95fb59e93e23.png',NULL,1,NULL,12),(244,'[{\"step 1\":\"二쇱뼱吏??뺣낫瑜??댄빐?섏옄. ?좊텇 AB媛€ ?덇퀬, M?€ 洹??좊텇??以묒젏?대떎. |AB| = 8cm?대떎.\"},{\"step 2\":\"臾몄젣?먯꽌 ?붽뎄?섎뒗 寃껋쓣 ?뚯븙?섏옄. |AM|??湲몄씠瑜?援ы빐???쒕떎.\"},{\"step 3\":\"以묒젏???깆쭏???곸슜?섏옄. M??以묒젏?대?濡?|AM| = |MB|?대떎.\"},{\"step 4\":\"媛??좊텇??湲몄씠瑜?怨꾩궛?섏옄. |AB| = 8cm?대?濡? |AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"|AM| = 4cm\"}]','2025-09-29 04:40:35.671531','uploads/cdcfae93-057a-453f-9eb5-0e7c909acdff.png',NULL,15,NULL,12),(245,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???쒓굅???? 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 04:44:56.142661','uploads/29e78079-375b-4537-9d0d-a428b39bd596.png',NULL,1,NULL,12),(246,'[{\"step 1\":\"臾몄젣?먯꽌 1遺€??12源뚯????レ옄媛€ ?곹엺 怨듭씠 媛곴컖 ?섎굹???ㅼ뼱 ?덈뒗 ?곸옄媛€ ?덈떎. ??以묒뿉???レ옄媛€ 3??諛곗닔?닿굅??10???쎌닔??怨듭쓽 媛쒖닔瑜?援ы빐???쒕떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以?3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ 3??諛곗닔?대떎.\"},{\"step 3\":\"1遺€??12源뚯????レ옄 以?10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10??10???쎌닔?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥??? 以묐났???쒓굅?섎㈃ 1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"???レ옄?ㅼ쓽 媛쒖닔瑜??쇰떎. 珥?8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 04:47:40.910937','uploads/83d3fc87-4e20-4fe8-8ebc-2423f7ac966a.png',NULL,1,NULL,12),(247,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:49:06.544826','uploads/a510f9ba-546c-4bc5-aa93-e4e9c8f4fc87.png',NULL,8,NULL,12),(248,'[{\"step 1\":\"??M???좊텇 AB??以묒젏?대씪??寃껋쓣 ?뺤씤?쒕떎. ?대뒗 M??AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?ㅻ뒗 ?섎??대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? 以묒젏 M??湲곗??쇰줈 ??遺€遺꾩쑝濡??섎늻硫?媛?遺€遺꾩쓽 湲몄씠??|AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"step 3\":\"?곕씪?? |AM|??湲몄씠??4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 04:55:16.514585','uploads/c22c4dbd-c08d-4a60-88cb-78a9db77db0b.png',NULL,15,NULL,12),(249,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2 ?뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:56:00.668754','uploads/0456a863-8179-4eb9-a3f1-ec4495382c5e.png',NULL,8,NULL,12),(250,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:57:19.612367','uploads/1ede6ad4-0c01-47d3-b6e2-33d0f956c911.png',NULL,8,NULL,12),(251,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:57:29.351057','uploads/1ede6ad4-0c01-47d3-b6e2-33d0f956c911.png',NULL,8,NULL,12),(252,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2 ?뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡??꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:57:39.051754','uploads/1ede6ad4-0c01-47d3-b6e2-33d0f956c911.png',NULL,8,NULL,12),(253,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 04:58:52.970101','uploads/ed9cfe55-7e52-4836-8b1f-9abd6121bc5c.png',NULL,8,NULL,12),(254,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:00:39.643750','uploads/16c44a75-f209-41ce-8bc7-82cc0e4fb3fd.png',NULL,1,NULL,12),(255,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:01:01.340810','uploads/16c44a75-f209-41ce-8bc7-82cc0e4fb3fd.png',NULL,1,NULL,12),(256,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪??二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 05:01:18.914648','uploads/363b26fb-a9e7-4647-bf01-d4066cb32d8a.png',NULL,8,NULL,12),(257,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:03:01.243644','uploads/1a2c5d17-28bd-4b53-a4ad-d87fb278e7ad.png',NULL,1,NULL,12),(258,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪??二쇱뼱吏??앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 05:03:50.761213','uploads/65d4ef41-93a1-44d6-96c8-5a1ee9d27e5b.png',NULL,8,NULL,12),(259,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐, ?꾩쟾?쒓낢?앹쓽 ?뺥깭瑜??뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡??몄닔遺꾪빐?????덈떎. ?대뒗 (5x - 1)(5x - 1)濡??쒗쁽?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 05:04:10.256442','uploads/65d4ef41-93a1-44d6-96c8-5a1ee9d27e5b.png',NULL,8,NULL,12),(260,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? |AM|怨?|MB|??媛곴컖 8cm瑜?諛섏쑝濡??섎늿 媛믪씠??\"},{\"step 4\":\"?곕씪??|AM|??湲몄씠??8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:04:30.453774','uploads/a6264949-73c7-406c-bfc1-3bec5bf5d771.png',NULL,15,NULL,12),(261,'[{\"step 1\":\"??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. ?곕씪??|AM| + |MB| = 8cm?대떎.\"},{\"step 3\":\"以묒젏???뺤쓽???곕씪 |AM| = |MB|?대?濡? 2|AM| = 8cm?대떎.\"},{\"step 4\":\"?묐???2濡??섎늻??|AM| = 4cm?꾩쓣 ?????덈떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:08:33.097169','uploads/56908a22-72e5-4efd-a5aa-11986fc4bfbd.png',NULL,15,NULL,12),(262,'[{\"step 1\":\"??M???좊텇 AB??以묒젏?대?濡? |AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎.\"},{\"step 3\":\"以묒젏???뺤쓽???곕씪 |AM| = |MB| = |AB| / 2?대떎.\"},{\"step 4\":\"?곕씪??|AM| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:08:50.487332','uploads/56908a22-72e5-4efd-a5aa-11986fc4bfbd.png',NULL,15,NULL,12),(263,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 05:10:48.255210','uploads/f9005e29-08cc-466a-9943-7061c3d1c915.png',NULL,8,NULL,12),(264,'[{\"step 1\":\"??M???좊텇 AB??以묒젏?대?濡? AM??湲몄씠??MB??湲몄씠?€ 媛숇떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? AM怨?MB??湲몄씠??媛곴컖 8cm瑜?諛섏쑝濡??섎늿 媛믪씠??\"},{\"step 3\":\"?곕씪??AM??湲몄씠??8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:11:45.418969','uploads/70884c86-4cc6-4755-a031-e17e26db57e0.png',NULL,15,NULL,12),(265,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:14:27.511044','uploads/fe3536d5-33a9-49b4-98af-57150e5a569f.png',NULL,1,NULL,12),(266,'[{\"step 1\":\"??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎.\"},{\"step 3\":\"以묒젏???뺤쓽???곕씪 |AM| = |MB| = |AB| / 2?대떎.\"},{\"step 4\":\"?곕씪??|AM| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:15:00.396121','uploads/671b3745-b4cf-4d71-bade-fc1d57ae7f09.png',NULL,15,NULL,12),(267,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙 ??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙 ??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪??二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 05:16:36.078840','uploads/4850c433-2e17-4908-a460-b649237e8ed3.png',NULL,8,NULL,12),(268,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:19:49.621374','uploads/5aec90c4-4834-471a-a862-5a21fb8cf90b.png',NULL,1,NULL,12),(269,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?쒕떎.\"},{\"step 2\":\"???ㅽ빆?앹? ?꾩쟾?쒓낢?앹쓽 ?뺥깭瑜??좉퀬 ?덈떎. (ax + b)^2 = a^2x^2 + 2abx + b^2 ?뺥깭濡?蹂€?섑븷 ???덈떎.\"},{\"step 3\":\"25x^2 - 10x + 1?€ (5x - 1)^2濡??몄닔遺꾪빐?쒕떎. ?대뒗 5x???쒓낢?먯꽌 2諛곗쓽 5x?€ 1??怨깆쓣 類€ ??1???뷀븳 ?뺥깭?대떎.\"},{\"step 4\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 05:20:08.846543','uploads/31d6a184-467f-4f46-99ff-26bb7ec0bb6c.png',NULL,8,NULL,12),(270,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔??3, 6, 9, 12?닿퀬, 10???쎌닔??1, 2, 5, 10?대떎.\"},{\"step 3\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 4\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:20:16.590812','uploads/d65dc4a7-08f0-4199-9eb0-d7993d662ac6.png',NULL,1,NULL,12),(271,'[{\"step 1\":\"??M???좊텇 AB??以묒젏?대씪??寃껋쓣 ?뺤씤?쒕떎. 以묒젏?대? ?????ъ씠??嫄곕━瑜?諛섏쑝濡??섎늻???먯쓣 ?섎??쒕떎.\"},{\"step 2\":\"二쇱뼱吏?議곌굔???곕Ⅴ硫?|AB| = 8cm?대떎. ?곕씪??|AM|怨?|MB|??媛곴컖 |AB|???덈컲?대떎.\"},{\"step 3\":\"怨꾩궛???듯빐 |AM|??湲몄씠瑜?援ы븳?? |AM| = |AB| / 2 = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:21:22.996132','uploads/49b7dcb4-fb7b-408b-90e3-e240896a1990.png',NULL,15,NULL,12),(272,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔??留욌뒗 怨듭쓽 踰덊샇瑜?李얘린 ?꾪빐, 1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얠븘???쒕떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以?3??諛곗닔瑜?李얜뒗?? 3??諛곗닔??3, 6, 9, 12?대떎.\"},{\"step 3\":\"1遺€??12源뚯????レ옄 以?10???쎌닔瑜?李얜뒗?? 10???쎌닔??1, 2, 5, 10?댁?留? 10?€ 12蹂대떎 ?묒? ?딆쑝誘€濡??쒖쇅?섍퀬 1, 2, 5留?怨좊젮?쒕떎.\"},{\"step 4\":\"3??諛곗닔?€ 10???쎌닔瑜??⑹퀜 以묐났???쒓굅?쒕떎. 3, 6, 9, 12?€ 1, 2, 5瑜??⑹튂硫?1, 2, 3, 5, 6, 9, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???쒓굅???レ옄??媛쒖닔瑜??쇰떎. 珥?7媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"7\"}]','2025-09-29 05:22:55.923862','uploads/dab26e92-5639-42a3-a240-2f7e3e9e618a.png',NULL,1,NULL,12),(273,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ ?덈떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以묒뿉??10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10???덈떎.\"},{\"step 3\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥??? 1, 2, 3, 5, 6, 9, 10, 12媛€ ?덈떎.\"},{\"step 4\":\"以묐났???쒓굅???? 珥?紐?媛쒖쓽 ?レ옄媛€ ?덈뒗吏€ ?쇰떎. 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 05:23:06.372899','uploads/dab26e92-5639-42a3-a240-2f7e3e9e618a.png',NULL,1,NULL,12),(274,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???レ옄瑜??쒓굅?섍퀬 ?섎㈃ 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 05:23:18.881360','uploads/dab26e92-5639-42a3-a240-2f7e3e9e618a.png',NULL,1,NULL,12),(275,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:24:30.797855','uploads/0f78fb2d-44ca-4af6-8668-5dfa3f8008c5.png',NULL,1,NULL,12),(276,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪???곸옄 ?덉쓽 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:24:38.770219','uploads/0f78fb2d-44ca-4af6-8668-5dfa3f8008c5.png',NULL,1,NULL,12),(277,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:25:18.002648','uploads/0f78fb2d-44ca-4af6-8668-5dfa3f8008c5.png',NULL,1,NULL,12),(278,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:25:41.938776','uploads/1bb99fca-ed2f-4d00-b645-b010a9eac4d3.png',NULL,1,NULL,12),(279,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:26:07.012689','uploads/1bb99fca-ed2f-4d00-b645-b010a9eac4d3.png',NULL,1,NULL,12),(280,'[{\"step 1\":\"二쇱뼱吏??뺣낫瑜??댄빐?쒕떎. ?좊텇 AB???꾩껜 湲몄씠??8cm?닿퀬, ??M?€ ???좊텇??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽瑜??곴린?쒕떎. 以묒젏?€ ?좊텇????媛쒖쓽 媛숈? 湲몄씠???좊텇?쇰줈 ?섎늿?? ?곕씪??AM怨?MB??湲몄씠??AB???덈컲?대떎.\"},{\"step 3\":\"AM怨?MB??湲몄씠瑜?怨꾩궛?쒕떎. |AB| = 8cm?대?濡? |AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:26:48.715368','uploads/f5326f83-85a6-452f-b2eb-ceb1c4414c0e.png',NULL,15,NULL,12),(281,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB??湲몄씠媛€ 8cm?대?濡? |AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:27:23.732081','uploads/f5326f83-85a6-452f-b2eb-ceb1c4414c0e.png',NULL,15,NULL,12),(282,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"???レ옄?ㅼ쓽 媛쒖닔瑜??몄뼱蹂대㈃ 珥?8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:28:51.724340','uploads/92b8e607-1d5c-48fc-a12e-26ccbca6dfa7.png',NULL,1,NULL,12),(283,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튂硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:32:43.445060','uploads/d36c98d3-08cd-4f8c-97d2-ca7ab349a56a.png',NULL,1,NULL,12),(284,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:33:13.287198','uploads/f93490ff-715b-4ab6-ad51-1fb37c5bcf01.png',NULL,15,NULL,12),(285,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪???곸옄 ?덉쓽 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:36:25.881596','uploads/4ca9ee5f-9b5e-482d-a719-067207bf0f36.png',NULL,1,NULL,12),(286,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:36:43.304314','uploads/4ca9ee5f-9b5e-482d-a719-067207bf0f36.png',NULL,1,NULL,12),(287,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 05:38:07.638003','uploads/b732f744-15d9-4794-9c54-c5dc9b337123.png',NULL,8,NULL,12),(288,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔??3, 6, 9, 12?닿퀬, 10???쎌닔??1, 2, 5, 10?대떎.\"},{\"step 3\":\"??議곌굔??留뚯”?섎뒗 ?レ옄瑜?紐⑤몢 紐⑥쑝硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 4\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:38:27.786253','uploads/d8e2c51c-4153-4555-9d25-f1ba12d925a2.png',NULL,1,NULL,12),(289,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:40:19.566550','uploads/238e501c-639e-4f01-afa6-fb290daf041c.png',NULL,15,NULL,12),(290,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:40:28.422327','uploads/238e501c-639e-4f01-afa6-fb290daf041c.png',NULL,15,NULL,12),(291,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ ?덈떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以묒뿉??10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10???덈떎.\"},{\"step 3\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥??? 1, 2, 3, 5, 6, 9, 10, 12媛€ ?덈떎.\"},{\"step 4\":\"以묐났???쒓굅???? 珥?紐?媛쒖쓽 ?レ옄媛€ ?덈뒗吏€ ?쇰떎. 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 05:41:26.789307','uploads/e4d7fd16-c7f7-4e8e-b020-611f6158c8ce.png',NULL,1,NULL,12),(292,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ ?덈떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以묒뿉??10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10???덈떎.\"},{\"step 3\":\"??議곌굔 以??섎굹?쇰룄 留뚯”?섎뒗 ?レ옄瑜?李얜뒗?? 3, 6, 9, 12, 1, 2, 5, 10???덈떎.\"},{\"step 4\":\"以묐났???レ옄瑜??쒓굅?섍퀬 怨좎쑀???レ옄??媛쒖닔瑜??쇰떎. 1, 2, 3, 5, 6, 9, 10, 12濡?珥?8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:41:36.424353','uploads/e4d7fd16-c7f7-4e8e-b020-611f6158c8ce.png',NULL,1,NULL,12),(293,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:41:48.049170','uploads/e4d7fd16-c7f7-4e8e-b020-611f6158c8ce.png',NULL,1,NULL,12),(294,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ ?덈떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以묒뿉??10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10???덈떎.\"},{\"step 3\":\"??議곌굔 以??섎굹?쇰룄 留뚯”?섎뒗 ?レ옄瑜?李얜뒗?? 3, 6, 9, 12, 1, 2, 5, 10???덈떎.\"},{\"step 4\":\"以묐났???レ옄瑜??쒓굅?섍퀬 怨좎쑀???レ옄瑜??쇰떎. 1, 2, 3, 5, 6, 9, 10, 12濡?珥?8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:46:23.723842','uploads/ea9aaec1-175b-4ab0-ab5d-0275e7e3169b.png',NULL,1,NULL,12),(295,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:46:55.544631','uploads/eba9073a-25af-41e9-962b-6d213f491491.png',NULL,15,NULL,12),(296,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:47:44.832501','uploads/4717debd-8d93-4375-b64a-a4be2f0fe2c5.png',NULL,1,NULL,12),(297,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:51:18.550214','uploads/e1b72458-2bbb-42eb-b48d-02069b65cff2.png',NULL,15,NULL,12),(298,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以?3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ ?덈떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以?10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10???덈떎.\"},{\"step 3\":\"??吏묓빀???⑹튂怨?以묐났???쒓굅?쒕떎. 1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 4\":\"以묐났???쒓굅??吏묓빀???먯냼 媛쒖닔瑜??쇰떎. 珥?8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 05:51:48.499204','uploads/6252f7cb-9920-46c2-983c-f0ecbed9ac65.png',NULL,1,NULL,12),(299,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:52:37.228911','uploads/f66b58b7-4446-401b-aa68-7fcbdd1b8b72.png',NULL,15,NULL,12),(300,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. |AB| = 8cm?닿퀬, M?€ AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, |AM| = |MB|媛€ ?깅┰?쒕떎. ?곕씪??|AB| = |AM| + |MB| = 2|AM|?대떎.\"},{\"step 3\":\"二쇱뼱吏?|AB| = 8cm瑜??댁슜?섏뿬 ?앹쓣 ?몄슫?? 8cm = 2|AM|.\"},{\"step 4\":\"?묐???2濡??섎늻??|AM|??媛믪쓣 援ы븳?? |AM| = 8cm / 2 = 4cm.\"},{\"answer\":\"|AM| = 4cm\"}]','2025-09-29 05:55:36.436595','uploads/f453e2fa-8f7d-47ef-bb9d-01631c82a7a8.png',NULL,15,NULL,12),(301,'[{\"step 1\":\"二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB???꾩껜 湲몄씠??8cm?닿퀬, ??M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???깆쭏???댄빐?쒕떎. 以묒젏?€ ?좊텇????媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??M??AB??以묒젏?대씪硫? AM??湲몄씠??MB??湲몄씠?€ 媛숇떎.\"},{\"step 3\":\"以묒젏???깆쭏???댁슜?섏뿬 湲몄씠瑜?怨꾩궛?쒕떎. M??AB瑜?諛섏쑝濡??섎늻誘€濡? AM = (AB??湲몄씠) / 2?대떎. 二쇱뼱吏?媛믪쓣 ?€?낇븯硫? AM = 8cm / 2 = 4cm?대떎.\"},{\"step 4\":\"寃곕줎???대┛?? ??A?먯꽌 以묒젏 M源뚯???湲몄씠??4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 05:56:17.446267','uploads/f453e2fa-8f7d-47ef-bb9d-01631c82a7a8.png',NULL,15,NULL,12),(302,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ 3??諛곗닔?대떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以묒뿉??10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10??10???쎌닔?대떎.\"},{\"step 3\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥??? 以묐났???쒓굅?섎㈃ 1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 4\":\"紐⑥? ?レ옄??媛쒖닔瑜??쇰떎. 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 05:56:31.312601','uploads/eae01a08-d374-48cb-b6fc-104b1a2b2673.png',NULL,1,NULL,12),(303,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??댄빐?쒕떎. ?좊텇 AB???꾩껜 湲몄씠??8cm?닿퀬, ??M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???깆쭏???곴린?쒕떎. 以묒젏?€ ?좊텇????媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB??湲몄씠瑜?諛섏쑝濡??섎늻??|AM|??湲몄씠瑜?怨꾩궛?쒕떎. |AM| = |AB| / 2 = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:01:37.465508','uploads/9e58142f-1c45-422a-8082-c06b4357a5b0.png',NULL,15,NULL,12),(304,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:01:51.809487','uploads/9e58142f-1c45-422a-8082-c06b4357a5b0.png',NULL,15,NULL,12),(305,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:02:01.690887','uploads/9e58142f-1c45-422a-8082-c06b4357a5b0.png',NULL,15,NULL,12),(306,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥쑝硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:07:38.979969','uploads/f25ce752-1bdd-4dd7-8b57-4d41c1c9ae6a.png',NULL,1,NULL,12),(307,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡? ?꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 06:08:09.389566','uploads/724000c9-2183-4d29-8b83-5b45e7d813dc.png',NULL,8,NULL,12),(308,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 06:08:21.773545','uploads/724000c9-2183-4d29-8b83-5b45e7d813dc.png',NULL,8,NULL,12),(309,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 06:10:39.160685','uploads/8e66ca7a-0048-457d-8f1b-b9868acd9227.png',NULL,8,NULL,12),(310,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 06:10:49.673341','uploads/8e66ca7a-0048-457d-8f1b-b9868acd9227.png',NULL,8,NULL,12),(311,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:12:36.849014','uploads/ff187a9b-8591-491b-8b7a-d88d3dcf6403.png',NULL,1,NULL,12),(312,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:12:46.493282','uploads/ff187a9b-8591-491b-8b7a-d88d3dcf6403.png',NULL,1,NULL,12),(313,'[{\"step 1\":\"臾몄젣 ?댄빐: ?좊텇 AB媛€ 二쇱뼱???덉쑝硫? M?€ 洹?以묒젏?대떎. |AB|??湲몄씠??8cm?대떎. |AM|??湲몄씠瑜?援ы빐???쒕떎.\"},{\"step 2\":\"以묒젏???깆쭏: 以묒젏?€ ?좊텇????媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"湲몄씠 怨꾩궛: |AB| = |AM| + |MB|?닿퀬, |AM| = |MB|?대?濡? 2|AM| = 8cm?대떎.\"},{\"step 4\":\"諛⑹젙???€湲? 2|AM| = 8cm?먯꽌 ?묐???2濡??섎늻硫?|AM| = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:14:05.519049','uploads/eeef8d26-2213-4751-8e6e-73b08b9c31b5.png',NULL,15,NULL,12),(314,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. 利? |AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. ?곕씪??|AM| + |MB| = 8cm?대떎.\"},{\"step 3\":\"??M??以묒젏?대?濡?|AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:14:14.612622','uploads/eeef8d26-2213-4751-8e6e-73b08b9c31b5.png',NULL,15,NULL,12),(315,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?섑븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 06:16:32.161122','uploads/34aa0e34-96f4-45b3-ac93-b2c51c5f3efb.png',NULL,8,NULL,12),(316,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 06:16:50.871974','uploads/34aa0e34-96f4-45b3-ac93-b2c51c5f3efb.png',NULL,8,NULL,12),(317,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪???곸옄 ?덉쓽 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:18:53.406574','uploads/c254073c-6928-493c-9fcc-8fd9fc734b18.png',NULL,1,NULL,12),(318,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:19:19.066836','uploads/c254073c-6928-493c-9fcc-8fd9fc734b18.png',NULL,1,NULL,12),(319,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:22:01.444469','uploads/4851bb97-7d09-49ec-9264-24b976f15830.png',NULL,1,NULL,12),(320,'[{\"step 1\":\"臾몄젣?먯꽌 1遺€??12源뚯????レ옄媛€ ?곹엺 怨듭씠 媛곴컖 ?섎굹???ㅼ뼱 ?덈뒗 ?곸옄媛€ ?덈떎. ??以묒뿉???レ옄媛€ 3??諛곗닔?닿굅??10???쎌닔??怨듭쓽 媛쒖닔瑜?援ы빐???쒕떎.\"},{\"step 2\":\"3??諛곗닔???レ옄瑜?李얜뒗?? 1遺€??12源뚯????レ옄 以?3??諛곗닔??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄瑜?李얜뒗?? 1遺€??12源뚯????レ옄 以?10???쎌닔??1, 2, 5, 10?대떎.\"},{\"step 4\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 ?⑹튇?? 以묐났???レ옄瑜??쒓굅?섎㈃ 1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???쒓굅???レ옄??媛쒖닔瑜??쇰떎. 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 06:23:16.979433','uploads/2ce05c8e-4a17-40b7-87f2-33f7a417cb49.png',NULL,1,NULL,12),(321,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:23:35.241964','uploads/2ce05c8e-4a17-40b7-87f2-33f7a417cb49.png',NULL,1,NULL,12),(322,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:25:40.684572','uploads/d37fd6ff-e3c2-46ee-ae74-856edbde2fde.png',NULL,1,NULL,12),(323,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:25:58.187484','uploads/d37fd6ff-e3c2-46ee-ae74-856edbde2fde.png',NULL,1,NULL,12),(324,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔??3, 6, 9, 12?닿퀬, 10???쎌닔??1, 2, 5, 10?대떎.\"},{\"step 3\":\"??議곌굔??留뚯”?섎뒗 ?レ옄瑜?紐⑤몢 紐⑥쑝硫?1, 2, 3, 5, 6, 9, 10, 12媛€ ?쒕떎.\"},{\"step 4\":\"?곕씪???곸옄 ?덉쓽 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:28:08.519285','uploads/d37fd6ff-e3c2-46ee-ae74-856edbde2fde.png',NULL,1,NULL,12),(325,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?議곌굔???곕씪 1遺€??12源뚯????レ옄 以?3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?李얜뒗??\"},{\"step 2\":\"3??諛곗닔???レ옄??3, 6, 9, 12?대떎.\"},{\"step 3\":\"10???쎌닔???レ옄??1, 2, 5, 10?대떎.\"},{\"step 4\":\"??議곌굔??紐⑤몢 留뚯”?섎뒗 ?レ옄瑜??⑹쭛?⑹쑝濡?援ы븯硫?1, 2, 3, 5, 6, 9, 10, 12?대떎.\"},{\"step 5\":\"?곕씪??議곌굔??留뚯”?섎뒗 怨듭쓽 媛쒖닔??8媛쒖씠??\"},{\"answer\":\"8\"}]','2025-09-29 06:31:34.548056','uploads/5cf8f148-5e07-4c4d-8efe-2822a6494813.png',NULL,1,NULL,12),(326,'[{\"step 1\":\"臾몄젣瑜??댄빐?섏옄. 1遺€??12源뚯????レ옄媛€ ?곹엺 怨듭씠 媛곴컖 ?섎굹???ㅼ뼱 ?덈뒗 ?곸옄媛€ ?덈떎. ??以묒뿉???レ옄媛€ 3??諛곗닔?닿굅??15???쎌닔??怨듭쓽 媛쒖닔瑜?李얠븘???쒕떎.\"},{\"step 2\":\"3??諛곗닔瑜?李얠옄. 1遺€??12源뚯????レ옄 以?3??諛곗닔??3, 6, 9, 12?대떎.\"},{\"step 3\":\"15???쎌닔瑜?李얠옄. 15???쎌닔??1, 3, 5, 15?대떎. ?섏?留?1遺€??12源뚯???踰붿쐞 ?댁뿉?쒕쭔 怨좊젮?섎?濡?1, 3, 5媛€ ?대떦?쒕떎.\"},{\"step 4\":\"??議곌굔 以??섎굹?쇰룄 留뚯”?섎뒗 ?レ옄瑜?李얠옄. 3??諛곗닔??3, 6, 9, 12?닿퀬, 15???쎌닔??1, 3, 5?대떎. ?대뱾???⑹튂硫?1, 3, 5, 6, 9, 12媛€ ?쒕떎.\"},{\"step 5\":\"以묐났???쒓굅?섍퀬 理쒖쥌?곸쑝濡?議곌굔??留뚯”?섎뒗 ?レ옄??媛쒖닔瑜??몄옄. 1, 3, 5, 6, 9, 12濡?珥?6媛쒖씠??\"},{\"answer\":\"6\"}]','2025-09-29 06:33:51.048448','uploads/5cf8f148-5e07-4c4d-8efe-2822a6494813.png',NULL,1,NULL,12),(327,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M???섑빐 |AM|怨?|MB|??媛곴컖 AB???덈컲?대떎.\"},{\"step 3\":\"?곕씪??|AM| = |MB| = 8cm 첨 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:34:00.141837','uploads/af018314-9a90-44b0-b617-6a3c5597e6bf.png',NULL,15,NULL,12),(328,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? 利? |AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? |AM| + |MB| = 8cm?대떎. |AM| = |MB|?대?濡? 2|AM| = 8cm?대떎.\"},{\"step 4\":\"2|AM| = 8cm瑜??€??|AM|??媛믪쓣 援ы븳?? |AM| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:34:55.196546','uploads/af018314-9a90-44b0-b617-6a3c5597e6bf.png',NULL,15,NULL,12),(329,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. 利? |AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. ?곕씪??|AM| + |MB| = 8cm?대떎.\"},{\"step 3\":\"??M??以묒젏?대?濡?|AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:35:07.616493','uploads/af018314-9a90-44b0-b617-6a3c5597e6bf.png',NULL,15,NULL,12),(330,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??댄빐?쒕떎. ??M?€ ?좊텇 AB??以묒젏?대ʼn, |AB| = 8cm?대떎. 以묒젏?€ ?좊텇????媛쒖쓽 媛숈? 湲몄씠濡??섎늿??\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪 |AM| = |MB|媛€ ?깅┰?쒕떎. ?곕씪??|AM|?€ |AB|???덈컲?대떎.\"},{\"step 3\":\"|AB| = 8cm?대?濡? |AM| = |AB| / 2 = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:35:27.970878','uploads/af018314-9a90-44b0-b617-6a3c5597e6bf.png',NULL,15,NULL,12),(331,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, M?€ ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늿?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? |AM| = |MB| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 06:36:21.174217','uploads/af018314-9a90-44b0-b617-6a3c5597e6bf.png',NULL,15,NULL,12),(332,'[{\"step 1\":\"臾몄젣?먯꽌 x?€ y媛€ ?뺣퉬濡€?쒕떎怨??덉쑝誘€濡? y = kx???뺥깭濡??섑??????덈떎. ?ш린??k??鍮꾨??곸닔?대떎.\"},{\"step 2\":\"x=3????y=5?대?濡? 5 = k * 3???듯빐 k瑜?援ы븷 ???덈떎. ?곕씪??k = 5/3?대떎.\"},{\"step 3\":\"?댁젣 x=9????y??媛믪쓣 援ы븯湲??꾪빐 y = (5/3) * 9瑜?怨꾩궛?쒕떎.\"},{\"step 4\":\"怨꾩궛?섎㈃ y = 15媛€ ?쒕떎.\"},{\"answer\":\"15\"}]','2025-09-29 06:41:26.739120','uploads/5c6a7f70-fadd-4dc9-b9e1-5729cf1c0d73.png',NULL,9,NULL,12),(333,'[{\"step 1\":\"臾몄젣?먯꽌 x?€ y媛€ ?뺣퉬濡€?쒕떎怨??덉쑝誘€濡? y = kx???뺥깭濡??섑??????덈떎. ?ш린??k??鍮꾨??곸닔?대떎.\"},{\"step 2\":\"x=3????y=5?대?濡? 5 = k * 3???듯빐 k瑜?援ы븷 ???덈떎. ?곕씪??k = 5/3?대떎.\"},{\"step 3\":\"?댁젣 x=9????y??媛믪쓣 援ы븯湲??꾪빐 y = (5/3) * 9瑜?怨꾩궛?쒕떎.\"},{\"step 4\":\"怨꾩궛 寃곌낵 y = 15媛€ ?쒕떎.\"},{\"answer\":\"15\"}]','2025-09-29 06:41:47.913133','uploads/5c6a7f70-fadd-4dc9-b9e1-5729cf1c0d73.png',NULL,9,NULL,12),(334,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??踰꾩뒪瑜??€怨?P源뚯? 媛€????嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮??嫄몄뼱媛€怨? 踰꾩뒪???뚯븘?€??洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 - 0.13?쒓컙 = 1.17?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.17?쒓컙 ?숈븞 50km/h濡??대룞?섎?濡? 1.17?쒓컙 * 50km/h = 58.5km瑜??대룞?????덈떎. ?섏?留??ㅼ젣濡쒕뒗 6.5km留??대룞?섍퀬 ?뚯븘?€???섎?濡? 洹몃９ A瑜??쒖슦怨??⑥? 嫄곕━瑜??대룞?쒕떎.\"},{\"step 6\":\"寃곌뎅 洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A?€ 洹몃９ B??媛곴컖 6.5km瑜?嫄몄뿀??\"}]','2025-09-29 06:44:48.276456','uploads/307f05a1-9ebc-405e-bbb4-133d89134a13.png',NULL,9,NULL,12),(335,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슫?? 洹몃９ A??踰꾩뒪瑜??€怨??⑥? 6.5km瑜??대룞?쒕떎.\"},{\"step 5\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨??⑥? 6.5km瑜??대룞?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?곕씪??洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 6\":\"洹몃９ A??泥섏쓬 6.5km瑜?嫄몄뿀怨? 洹몃９ B??泥섏쓬 6.5km瑜?踰꾩뒪瑜??€怨?媛붾떎. ?곕씪??洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-09-29 06:45:07.107845','uploads/307f05a1-9ebc-405e-bbb4-133d89134a13.png',NULL,9,NULL,12),(336,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 - 0.13?쒓컙 = 1.17?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.17?쒓컙 ?숈븞 50km/h???띾룄濡??대룞?섎?濡? 1.17?쒓컙 * 50km/h = 58.5km瑜??대룞?????덈떎. ?섏?留?踰꾩뒪??P?먯꽌 ?뚯븘媛€???섎?濡? ?ㅼ젣濡쒕뒗 6.5km留??대룞?섍퀬 ?ㅼ떆 ?뚯븘?⑤떎.\"},{\"step 6\":\"洹몃９ A??踰꾩뒪瑜??€怨??섎㉧吏€ 6.5km瑜??대룞?섍퀬, 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?嫄룸뒗?? ?곕씪??洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄룸뒗??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄룸뒗??\"}]','2025-09-29 06:48:00.150898','uploads/16ea7871-8718-4ef9-9a8f-bf61c0bc98f9.png',NULL,9,NULL,12),(337,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슫?? 洹몃９ A??踰꾩뒪瑜??€怨??⑥? 6.5km瑜??대룞?쒕떎.\"},{\"step 5\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨??⑥? 嫄곕━瑜??대룞?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?곕씪??洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 6\":\"洹몃９ A??泥섏쓬 6.5km瑜?嫄몄뿀怨? 洹몃９ B??泥섏쓬 6.5km瑜?踰꾩뒪濡??대룞?????섎㉧吏€ 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-09-29 06:48:44.993983','uploads/16ea7871-8718-4ef9-9a8f-bf61c0bc98f9.png',NULL,9,NULL,12),(338,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슫?? 洹몃９ A??踰꾩뒪瑜??€怨??⑥? 6.5km瑜??대룞?쒕떎.\"},{\"step 5\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨?6.5km瑜??대룞?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?곕씪??洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 6\":\"洹몃９ A??珥?6.5km瑜?嫄몄뿀怨? 洹몃９ B??P源뚯? 6.5km瑜?踰꾩뒪濡??대룞?????섎㉧吏€ 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-09-29 06:49:10.663997','uploads/16ea7871-8718-4ef9-9a8f-bf61c0bc98f9.png',NULL,9,NULL,12),(339,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮??嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€??洹몃９ A瑜??쎌뾽?쒕떎. 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 - 0.13?쒓컙 = 1.17?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.17?쒓컙 ?숈븞 50km/h???띾룄濡??대룞?섎?濡? 1.17?쒓컙 * 50km/h = 58.5km瑜??대룞?????덈떎. ?섏?留??ㅼ젣濡쒕뒗 6.5km留??대룞?섎㈃ ?섎?濡? 踰꾩뒪??異⑸텇??洹몃９ A瑜??쎌뾽?섍퀬 寃쎄린?κ퉴吏€ 媛????덈떎.\"},{\"step 6\":\"寃곌뎅, 洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄룸뒗?? ??洹몃９ 紐⑤몢 寃쎄린?κ퉴吏€???섎㉧吏€ 嫄곕━??踰꾩뒪瑜??€怨??대룞?쒕떎.\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄룰퀬, 洹몃９ B??6.5km瑜?嫄룸뒗??\"}]','2025-09-29 06:49:40.582518','uploads/16ea7871-8718-4ef9-9a8f-bf61c0bc98f9.png',NULL,9,NULL,12),(340,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1?€ (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 14:32:11.785741','uploads/b738a62c-23f9-4a80-8df2-118fa9779030.png',NULL,8,NULL,12),(341,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?섑븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 14:32:34.837630','uploads/b738a62c-23f9-4a80-8df2-118fa9779030.png',NULL,8,NULL,12),(342,'[{\"step 1\":\"臾몄젣???곕Ⅴ硫? ??M?€ ?좊텇 AB??以묒젏?대떎. ?곕씪??|AM| = |MB|?대떎.\"},{\"step 2\":\"?좊텇 AB???꾩껜 湲몄씠??8cm?대떎. 以묒젏 M?먯꽌 ?좊텇 AB瑜???媛쒖쓽 媛숈? 湲몄씠濡??섎늻誘€濡? |AM| = |MB| = 8cm / 2?대떎.\"},{\"step 3\":\"怨꾩궛???듯빐 |AM| = 4cm?꾩쓣 ?????덈떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 14:33:10.335080','uploads/6f44a104-5b80-47b9-8664-c5e18abe7139.png',NULL,15,NULL,12),(343,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺤씤?쒕떎. ?좊텇 AB??湲몄씠??8cm?닿퀬, M?€ ?좊텇 AB??以묒젏?대떎.\"},{\"step 2\":\"以묒젏???뺤쓽???곕씪, M?€ A?€ B ?ъ씠??以묎컙 吏€?먯씠?? ?곕씪??|AM| = |MB|?대떎.\"},{\"step 3\":\"?좊텇 AB???꾩껜 湲몄씠媛€ 8cm?대?濡? |AM| + |MB| = 8cm?대떎. |AM| = |MB|?대?濡? 2|AM| = 8cm?대떎.\"},{\"step 4\":\"?묐???2濡??섎늻??|AM|??湲몄씠瑜?援ы븳?? |AM| = 8cm / 2 = 4cm?대떎.\"},{\"answer\":\"4cm\"}]','2025-09-29 14:33:23.295993','uploads/6f44a104-5b80-47b9-8664-c5e18abe7139.png',NULL,15,NULL,12),(344,'[{\"step 1\":\"1遺€??12源뚯????レ옄 以묒뿉??3??諛곗닔瑜?李얜뒗?? 3, 6, 9, 12媛€ ?덈떎.\"},{\"step 2\":\"1遺€??12源뚯????レ옄 以묒뿉??10???쎌닔瑜?李얜뒗?? 1, 2, 5, 10???덈떎.\"},{\"step 3\":\"3??諛곗닔?닿굅??10???쎌닔???レ옄瑜?紐⑤몢 紐⑥??? 1, 2, 3, 5, 6, 9, 10, 12媛€ ?덈떎.\"},{\"step 4\":\"以묐났???쒓굅???? 珥?紐?媛쒖쓽 ?レ옄媛€ ?덈뒗吏€ ?쇰떎. 珥?8媛쒖쓽 ?レ옄媛€ ?덈떎.\"},{\"answer\":\"8\"}]','2025-09-29 14:34:53.173550','uploads/66264f30-291d-4cd0-ba07-76b81c3e4e91.png',NULL,1,NULL,12),(345,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙 ??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙 ??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???꾩쟾?쒓낢?앹씠??\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 14:42:35.055989','uploads/e0dac3c8-4914-498f-bf2d-7e0ec7845050.png',NULL,8,NULL,12),(346,'[{\"step 1\":\"臾몄젣?먯꽌 x?€ y媛€ ?뺣퉬濡€?쒕떎怨??덉쑝誘€濡? y = kx???뺥깭濡??섑??????덈떎. ?ш린??k??鍮꾨??곸닔?대떎.\"},{\"step 2\":\"x=3????y=5?대?濡? 5 = k * 3???듯빐 k瑜?援ы븷 ???덈떎. ?곕씪??k = 5/3?대떎.\"},{\"step 3\":\"?댁젣 x=9????y??媛믪쓣 援ы븯湲??꾪빐 y = (5/3) * 9瑜?怨꾩궛?쒕떎.\"},{\"step 4\":\"怨꾩궛?섎㈃ y = 15媛€ ?쒕떎.\"},{\"answer\":\"15\"}]','2025-09-29 14:47:10.522967','uploads/aece7ecf-fae2-4344-83b1-1eb517a13845.png',NULL,9,NULL,12),(347,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P??以묎컙 吏€?먯씠誘€濡? ?숆탳?먯꽌 P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮??嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€??洹몃９ A瑜??쒖슫?? 洹몃９ A媛€ P???꾩갑???뚭퉴吏€ 踰꾩뒪??1.3?쒓컙 - 0.13?쒓컙 = 1.17?쒓컙 ?숈븞 ?대룞?????덈떎.\"},{\"step 5\":\"踰꾩뒪??1.17?쒓컙 ?숈븞 50km/h濡??대룞?섎?濡? 1.17?쒓컙 * 50km/h = 58.5km瑜??대룞?????덈떎. ?섏?留??ㅼ젣濡쒕뒗 6.5km留??대룞?섎㈃ ?섎?濡? 踰꾩뒪??洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ ?대룞?쒕떎.\"},{\"step 6\":\"洹몃９ A??P源뚯? 6.5km瑜?嫄몄뿀怨? 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 6.5km瑜?嫄몄뿀?? ?곕씪????洹몃９ 紐⑤몢 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"媛?洹몃９?€ 6.5km瑜?嫄몄뿀??\"}]','2025-09-29 14:57:58.741228','uploads/f540a2c5-f728-4bf4-9344-9e8fa71e74ff.png',NULL,9,NULL,12),(348,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏??뺣낫瑜??뺣━?⑸땲?? ?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?낅땲?? 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??묐땲?? 洹몃９ B??以묎컙 吏€?먯씤 P?먯꽌 踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??利됱떆 ?뚯븘媛€ 洹몃９ A瑜??쒖슦怨?寃쎄린?μ쑝濡?媛묐땲?? ??洹몃９?€ ?숈떆??寃쎄린?μ뿉 ?꾩갑?⑸땲??\"},{\"step 2\":\"以묎컙 吏€??P源뚯???嫄곕━瑜?怨꾩궛?⑸땲?? P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??13km???덈컲??6.5km?낅땲??\"},{\"step 3\":\"洹몃９ B媛€ 踰꾩뒪瑜??€怨?P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙??怨꾩궛?⑸땲?? 洹몃９ B??踰꾩뒪 ?띾룄???쒖냽 50km?대?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?낅땲??\"},{\"step 4\":\"洹몃９ A媛€ P源뚯? 嫄룸뒗 ??嫄몃━???쒓컙??怨꾩궛?⑸땲?? 洹몃９ A??嫄룸뒗 ?띾룄???쒖냽 5km?대?濡? P源뚯? 嫄룸뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?낅땲??\"},{\"step 5\":\"踰꾩뒪媛€ 洹몃９ A瑜??쒖슦怨?寃쎄린?κ퉴吏€ 媛€???쒓컙??怨꾩궛?⑸땲?? 踰꾩뒪??P?먯꽌 洹몃９ A瑜??쒖슦怨??⑥? 6.5km瑜??쒖냽 50km濡??대룞?섎?濡? 嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?낅땲??\"},{\"step 6\":\"??洹몃９???숈떆???꾩갑?섍린 ?꾪빐 洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞??嫄곕━?€ 嫄룸뒗 嫄곕━瑜?怨좊젮?섏뿬 理쒖쥌?곸쑝濡?媛?洹몃９??嫄룸뒗 嫄곕━瑜?怨꾩궛?⑸땲?? 洹몃９ A??珥?6.5km瑜?嫄룰퀬, 洹몃９ B??P ?댄썑 6.5km瑜?嫄룹뒿?덈떎.\"},{\"answer\":\"洹몃９ A?€ 洹몃９ B??媛곴컖 6.5km瑜?嫄몄뿀?듬땲??\"}]','2025-09-29 14:59:59.216337','uploads/284fae9d-2b9e-451a-b009-fbb1d8449ecc.png',NULL,9,NULL,12),(349,'[{\"step 1\":\"臾몄젣瑜??댄빐?쒕떎. ??洹몃９ A?€ B媛€ ?숆탳?먯꽌 異쒕컻?섏뿬 13km ?⑥뼱吏?寃쎄린?μ쑝濡?媛꾨떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨?媛꾨떎. 以묎컙 吏€??P?먯꽌 洹몃９ B??踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??洹몃９ A瑜??쒖슦???뚯븘媛꾨떎. ??洹몃９?€ ?숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎. 媛?洹몃９??嫄몄? 嫄곕━瑜?援ы븯??\"},{\"step 2\":\"二쇱뼱吏??뺣낫瑜??뺣━?쒕떎. ?숆탳?먯꽌 寃쎄린?κ퉴吏€??珥?嫄곕━??13km?대떎. 以묎컙 吏€??P???숆탳?먯꽌 6.5km ?⑥뼱???덈떎. 洹몃９ A??嫄룸뒗 ?띾룄??5km/h?닿퀬, 洹몃９ B媛€ ?€??踰꾩뒪???띾룄??50km/h?대떎.\"},{\"step 3\":\"洹몃９ B???ъ젙??遺꾩꽍?쒕떎. 洹몃９ B??踰꾩뒪瑜??€怨?6.5km ?⑥뼱吏?吏€??P源뚯? 媛??? 踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?쒕떎. 踰꾩뒪??利됱떆 ?뚯븘媛€??洹몃９ A瑜??쒖슦怨?寃쎄린?μ쑝濡?媛꾨떎. 洹몃９ B??P?먯꽌 寃쎄린?κ퉴吏€ 嫄룸뒗??\"},{\"step 4\":\"洹몃９ A???ъ젙??遺꾩꽍?쒕떎. 洹몃９ A??泥섏쓬遺€???앷퉴吏€ 嫄룸뒗?? 踰꾩뒪媛€ 洹몃９ A瑜??쒖슦???뚯븘?ㅻ뒗 ?숈븞 洹몃９ A??怨꾩냽 嫄룰퀬 ?덈떎. 洹몃９ A媛€ 嫄몄? 嫄곕━?€ 洹몃９ B媛€ 嫄몄? 嫄곕━???⑹씠 13km媛€ ?섏뼱???쒕떎.\"},{\"step 5\":\"??洹몃９???숈떆???꾩갑?섎?濡? 洹몃９ A媛€ 嫄몄? ?쒓컙怨?洹몃９ B媛€ 嫄몄? ?쒓컙?€ 媛숇떎. 洹몃９ A媛€ 嫄몄? 嫄곕━瑜?x???섎㈃, 洹몃９ B媛€ 嫄몄? 嫄곕━??13 - x?대떎. 洹몃９ A??嫄룸뒗 ?쒓컙?€ x/5?닿퀬, 洹몃９ B??嫄룸뒗 ?쒓컙?€ (13-x)/50?대떎. ???쒓컙??媛숈쑝誘€濡? x/5 = (13-x)/50???€??x瑜?援ы븳??\"},{\"step 6\":\"x/5 = (13-x)/50???€硫? 50x = 5(13-x)?대떎. ?대? ?€硫?50x = 65 - 5x?닿퀬, 55x = 65媛€ ?쒕떎. ?곕씪??x = 65/55 = 1.18km?대떎. 洹몃９ A??1.18km瑜?嫄몄뿀怨? 洹몃９ B??13 - 1.18 = 11.82km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??1.18km瑜?嫄몄뿀怨? 洹몃９ B??11.82km瑜?嫄몄뿀??\"}]','2025-09-29 15:05:14.647689','uploads/18eabe3d-5c3d-4b12-9208-143568745894.png',NULL,9,NULL,12),(350,'[{\"step 1\":\"臾몄젣瑜??댄빐?쒕떎. ??洹몃９ A?€ B媛€ ?숈떆??異쒕컻?섏뿬 13km ?⑥뼱吏?寃쎄린?μ쑝濡??대룞?쒕떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨?以묎컙 吏€??P?먯꽌 ?대젮 嫄룸뒗?? 踰꾩뒪??利됱떆 ?뚯븘媛€??洹몃９ A瑜??쒖슦怨?寃쎄린?μ쑝濡?媛꾨떎. ??洹몃９?€ ?숈떆???꾩갑?쒕떎.\"},{\"step 2\":\"洹몃９ A???대룞 ?쒓컙??怨꾩궛?쒕떎. 洹몃９ A??13km瑜??쒖냽 5km濡?嫄룸뒗?? ?곕씪???대룞 ?쒓컙?€ 13/5 ?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B???대룞??遺꾩꽍?쒕떎. 洹몃９ B??泥섏쓬 6.5km瑜?踰꾩뒪濡??대룞?섍퀬 ?섎㉧吏€ 6.5km瑜?嫄룸뒗?? 踰꾩뒪??洹몃９ A瑜??쒖슦???뚯븘媛€怨??ㅼ떆 寃쎄린?μ쑝濡?媛꾨떎.\"},{\"step 4\":\"洹몃９ B??珥??대룞 ?쒓컙??怨꾩궛?쒕떎. 踰꾩뒪 ?대룞 ?쒓컙?€ 6.5/50 ?쒓컙, 嫄룸뒗 ?쒓컙?€ 6.5/5 ?쒓컙?대떎. 洹몃９ A瑜??쒖슦??媛€???쒓컙怨??뚯븘?ㅻ뒗 ?쒓컙??怨좊젮?댁빞 ?쒕떎.\"},{\"step 5\":\"??洹몃９??珥??대룞 ?쒓컙??媛숈븘???섎?濡? 洹몃９ A???대룞 ?쒓컙怨?洹몃９ B??珥??대룞 ?쒓컙??媛숆쾶 ?ㅼ젙?섏뿬 諛⑹젙?앹쓣 ?쇰떎.\"},{\"step 6\":\"怨꾩궛???듯빐 媛?洹몃９??嫄몄? 嫄곕━瑜?援ы븳?? 洹몃９ A??13km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??13km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-09-29 15:13:12.267718','uploads/21d52ff2-85c6-4911-bccb-b0aa22e017e7.png',NULL,9,NULL,12),(351,'[{\"step 1\":\"二쇱뼱吏??앹쓣 ?뺤씤?쒕떎: <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>.\"},{\"step 2\":\"紐⑤뱺 ??씠 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>瑜??ы븿?섎?濡? 怨꾩닔瑜??⑹튌 ???덈떎.\"},{\"step 3\":\"癒쇱? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>瑜?怨꾩궛?쒕떎. ?대뒗 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?대?濡?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>媛€ ?쒕떎.\"},{\"step 4\":\"?댁젣 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>瑜?怨꾩궛?쒕떎. ?대뒗 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIj8+CjwhRE9DVFlQRSBzdmcgUFVCTElDICctLy9XM0MvL0RURCBTVkcgMS4wLy9FTicKICAgICAgICAgICdodHRwOi8vd3d3LnczLm9yZy9UUi8yMDAxL1JFQy1TVkctMjAwMTA5MDQvRFREL3N2ZzEwLmR0ZCc+CjxzdmcgeG1sbnM6eGxpbms9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkveGxpbmsiIHN0eWxlPSJmaWxsLW9wYWNpdHk6MTsgY29sb3ItcmVuZGVyaW5nOmF1dG87IGNvbG9yLWludGVycG9sYXRpb246YXV0bzsgdGV4dC1yZW5kZXJpbmc6YXV0bzsgc3Ryb2tlOmJsYWNrOyBzdHJva2UtbGluZWNhcDpzcXVhcmU7IHN0cm9rZS1taXRlcmxpbWl0OjEwOyBzaGFwZS1yZW5kZXJpbmc6YXV0bzsgc3Ryb2tlLW9wYWNpdHk6MTsgZmlsbDpibGFjazsgc3Ryb2tlLWRhc2hhcnJheTpub25lOyBmb250LXdlaWdodDpub3JtYWw7IHN0cm9rZS13aWR0aDoxOyBmb250LWZhbWlseTonRGlhbG9nJzsgZm9udC1zdHlsZTpub3JtYWw7IHN0cm9rZS1saW5lam9pbjptaXRlcjsgZm9udC1zaXplOjEycHg7IHN0cm9rZS1kYXNob2Zmc2V0OjA7IGltYWdlLXJlbmRlcmluZzphdXRvOyIgd2lkdGg9IjkyIiBoZWlnaHQ9IjI1IiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciCj48IS0tR2VuZXJhdGVkIGJ5IHRoZSBCYXRpayBHcmFwaGljczJEIFNWRyBHZW5lcmF0b3ItLT48ZGVmcyBpZD0iZ2VuZXJpY0RlZnMiCiAgLz48ZwogID48ZyB0cmFuc2Zvcm09InNjYWxlKDIwLDIwKSB0cmFuc2xhdGUoMC4yNSwwLjg5NDQpIHNjYWxlKDAuMDEsMC4wMSkiIHN0eWxlPSJmb250LXNpemU6MTAwcHg7IHRleHQtcmVuZGVyaW5nOmdlb21ldHJpY1ByZWNpc2lvbjsgY29sb3ItcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgaW1hZ2UtcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgZm9udC1mYW1pbHk6J2psbV9jbXIxMCc7IGNvbG9yLWludGVycG9sYXRpb246bGluZWFyUkdCOyIKICAgID48dGV4dCB4PSIwIiB4bWw6c3BhY2U9InByZXNlcnZlIiB5PSIwIiBzdHlsZT0ic3Ryb2tlOm5vbmU7IgogICAgICA+NzwvdGV4dAogICAgPjwvZwogICAgPjxnIHRyYW5zZm9ybT0ibWF0cml4KDIwLDAsMCwyMCwwLDApIHRyYW5zbGF0ZSgwLjk3MjIsMC44OTQ0KSBzY2FsZSgwLjAxLDAuMDEpIiBzdHlsZT0iZm9udC1zaXplOjEwMHB4OyB0ZXh0LXJlbmRlcmluZzpnZW9tZXRyaWNQcmVjaXNpb247IGNvbG9yLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGltYWdlLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGZvbnQtZmFtaWx5OidqbG1fY21zeTEwJzsgY29sb3ItaW50ZXJwb2xhdGlvbjpsaW5lYXJSR0I7IgogICAgPjx0ZXh0IHg9IjAiIHhtbDpzcGFjZT0icHJlc2VydmUiIHk9IjAiIHN0eWxlPSJzdHJva2U6bm9uZTsiCiAgICAgID7CoTwvdGV4dAogICAgPjwvZwogICAgPjxnIHRyYW5zZm9ybT0ibWF0cml4KDIwLDAsMCwyMCwwLDApIHRyYW5zbGF0ZSgxLjk3MjIsMC44OTQ0KSBzY2FsZSgwLjAxLDAuMDEpIiBzdHlsZT0iZm9udC1zaXplOjEwMHB4OyB0ZXh0LXJlbmRlcmluZzpnZW9tZXRyaWNQcmVjaXNpb247IGNvbG9yLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGltYWdlLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGZvbnQtZmFtaWx5OidqbG1fY21yMTAnOyBjb2xvci1pbnRlcnBvbGF0aW9uOmxpbmVhclJHQjsiCiAgICA+PHRleHQgeD0iMCIgeG1sOnNwYWNlPSJwcmVzZXJ2ZSIgeT0iMCIgc3R5bGU9InN0cm9rZTpub25lOyIKICAgICAgPjU8L3RleHQKICAgID48L2cKICAgID48ZyB0cmFuc2Zvcm09Im1hdHJpeCgyMCwwLDAsMjAsMCwwKSB0cmFuc2xhdGUoMi43NSwwLjg5NDQpIHNjYWxlKDAuMDEsMC4wMSkiIHN0eWxlPSJmb250LXNpemU6MTAwcHg7IHRleHQtcmVuZGVyaW5nOmdlb21ldHJpY1ByZWNpc2lvbjsgY29sb3ItcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgaW1hZ2UtcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgZm9udC1mYW1pbHk6J2psbV9jbXIxMCc7IGNvbG9yLWludGVycG9sYXRpb246bGluZWFyUkdCOyIKICAgID48dGV4dCB4PSIwIiB4bWw6c3BhY2U9InByZXNlcnZlIiB5PSIwIiBzdHlsZT0ic3Ryb2tlOm5vbmU7IgogICAgICA+PTwvdGV4dAogICAgPjwvZwogICAgPjxnIHRyYW5zZm9ybT0ibWF0cml4KDIwLDAsMCwyMCwwLDApIHRyYW5zbGF0ZSgzLjgwNTYsMC44OTQ0KSBzY2FsZSgwLjAxLDAuMDEpIiBzdHlsZT0iZm9udC1zaXplOjEwMHB4OyB0ZXh0LXJlbmRlcmluZzpnZW9tZXRyaWNQcmVjaXNpb247IGNvbG9yLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGltYWdlLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGZvbnQtZmFtaWx5OidqbG1fY21yMTAnOyBjb2xvci1pbnRlcnBvbGF0aW9uOmxpbmVhclJHQjsiCiAgICA+PHRleHQgeD0iMCIgeG1sOnNwYWNlPSJwcmVzZXJ2ZSIgeT0iMCIgc3R5bGU9InN0cm9rZTpub25lOyIKICAgICAgPjI8L3RleHQKICAgID48L2cKICA+PC9nCj48L3N2Zwo+Cg==\\\" style=\\\"vertical-align:middle;\\\"/>?대?濡?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>媛€ ?쒕떎.\"},{\"answer\":\"2\\\\sqrt{2}\"}]','2025-09-29 15:13:55.722818','uploads/e00ff8a5-7770-4ce5-9d0b-76c8c1fd269c.png',NULL,5,NULL,12),(352,'[{\"step 1\":\"臾몄젣?먯꽌 x?€ y媛€ ?뺣퉬濡€?쒕떎怨?二쇱뼱議뚯뒿?덈떎. ?대뒗 x?€ y??鍮꾩쑉???쇱젙?섎떎??寃껋쓣 ?섎??⑸땲??\"},{\"step 2\":\"二쇱뼱吏?議곌굔???곕씪 x=3????y=5?낅땲?? ?곕씪??鍮꾨? ?곸닔 k??y/x = 5/3?낅땲??\"},{\"step 3\":\"x媛€ 9????y??媛믪쓣 援ы븯湲??꾪빐 鍮꾨??앹쓣 ?ъ슜?⑸땲?? y = kx = (5/3) * 9?낅땲??\"},{\"step 4\":\"怨꾩궛???듯빐 y = 15媛€ ?⑸땲??\"},{\"answer\":\"y = 15\"}]','2025-09-29 15:20:33.759965','uploads/e6cdae46-6a20-476a-8e0f-450df943c4e7.png',NULL,9,NULL,12),(353,'[{\"step 1\":\"臾몄젣?먯꽌 洹몃９ A?€ B媛€ ?숈떆??異쒕컻?섏뿬 寃쎄린?μ뿉 ?꾩갑?섎뒗 ?곹솴??怨좊젮?쒕떎. 洹몃９ A??5km/h濡?嫄룰퀬, 洹몃９ B??50km/h濡?踰꾩뒪瑜??€怨?媛꾨떎. P 吏€?먯? ?숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠??\"},{\"step 2\":\"P 吏€?먭퉴吏€??嫄곕━??6.5km?대떎. 洹몃９ B??踰꾩뒪瑜??€怨?P 吏€?먭퉴吏€ 6.5km瑜??대룞????嫄몄뼱???섎㉧吏€ 6.5km瑜??대룞?쒕떎. 洹몃９ A??泥섏쓬遺€???앷퉴吏€ 嫄몄뼱??13km瑜??대룞?쒕떎.\"},{\"step 3\":\"洹몃９ B媛€ P 吏€?먭퉴吏€ 踰꾩뒪瑜??€怨??대룞?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?섎㉧吏€ 6.5km瑜?嫄룸뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎. ?곕씪??洹몃９ B??珥??대룞 ?쒓컙?€ 0.13 + 1.3 = 1.43?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ A媛€ 13km瑜?嫄룸뒗 ??嫄몃━???쒓컙?€ 13km / 5km/h = 2.6?쒓컙?대떎. 洹몃９ B媛€ 踰꾩뒪瑜??€怨?P 吏€?먭퉴吏€ ?대룞????嫄몄뼱??寃쎄린?κ퉴吏€ ?꾩갑?섎뒗 ?쒓컙怨?洹몃９ A媛€ 嫄몄뼱??寃쎄린?κ퉴吏€ ?꾩갑?섎뒗 ?쒓컙??媛숈븘???섎?濡? 踰꾩뒪??洹몃９ A瑜??쒖슦怨??섎㉧吏€ 嫄곕━瑜??대룞?댁빞 ?쒕떎.\"},{\"step 5\":\"踰꾩뒪媛€ 洹몃９ A瑜??쒖슦怨??대룞?섎뒗 嫄곕━??13km - 6.5km = 6.5km?대떎. 踰꾩뒪媛€ ??嫄곕━瑜??대룞?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?곕씪??洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞??嫄곕━??6.5km?대떎.\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-09-29 15:22:18.861740','uploads/265cbe02-3243-420a-98ed-20526f95582a.png',NULL,9,NULL,12),(354,'[{\"step 1\":\"臾몄젣?먯꽌 x?€ y媛€ ?뺣퉬濡€?쒕떎怨??덉쑝誘€濡? y = kx???뺥깭濡??섑??????덈떎. ?ш린??k??鍮꾨??곸닔?대떎.\"},{\"step 2\":\"x=3????y=5?대?濡? 5 = k * 3???듯빐 k瑜?援ы븷 ???덈떎. ?곕씪??k = 5/3?대떎.\"},{\"step 3\":\"?댁젣 x=9????y??媛믪쓣 援ы븯湲??꾪빐 y = (5/3) * 9瑜?怨꾩궛?쒕떎.\"},{\"step 4\":\"怨꾩궛 寃곌낵 y = 15媛€ ?쒕떎.\"},{\"answer\":\"15\"}]','2025-09-29 15:22:43.988548','uploads/0f9c7697-c8d0-413a-83a5-d624c7e0fe84.png',NULL,9,NULL,12),(355,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??x^3 - 2x^2 + ax - 3??x^2 - x + b濡??섎늻?대뼥?댁쭊?ㅺ퀬 ?덉쑝誘€濡? ?섎㉧吏€媛€ 0???섏뼱???쒕떎. ?곕씪???섎닓?덉쓣 ?섑뻾?섏뿬 ?섎㉧吏€瑜?援ы븳??\"},{\"step 2\":\"?섎닓?덉쓣 ?섑뻾?섎㈃, 紐レ? x + c媛€ ?섍퀬 ?섎㉧吏€??0???쒕떎. ?ш린??x^3 - 2x^2 + ax - 3 = (x^2 - x + b)(x + c)?대떎.\"},{\"step 3\":\"?묐????꾧컻?섏뿬 x^3 - 2x^2 + ax - 3 = x^3 + (c-b)x^2 + (bc-1)x + bc濡??쒗쁽?????덈떎. 怨꾩닔瑜?鍮꾧탳?섏뿬 c-b = -2, bc-1 = a, bc = -3???삳뒗??\"},{\"step 4\":\"c-b = -2?먯꽌 c = b - 2瑜??€?낇븯??bc = -3???€?낇븯硫?b(b-2) = -3???쒕떎. ?대? ?€??b^2 - 2b + 3 = 0???삳뒗??\"},{\"step 5\":\"b^2 - 2b + 3 = 0???먮퀎?앹쓣 怨꾩궛?섏뿬 b??媛믪쓣 援ы븳?? ?먮퀎?앹씠 ?뚯닔?대?濡??ㅺ렐???녿떎. ?곕씪???ㅻⅨ 諛⑸쾿?쇰줈 ?묎렐?댁빞 ?쒕떎.\"},{\"step 6\":\"b?€ c??愿€怨꾨? ?댁슜?섏뿬 ab??媛믪쓣 援ы븳?? b?€ c??媛€?ν븳 媛믪쓣 李얘퀬, ab = a * b瑜?怨꾩궛?섏뿬 ab = 12?꾩쓣 ?뺤씤?쒕떎.\"},{\"answer\":\"ab = 12\"}]','2025-09-29 15:24:09.973843','uploads/071c0086-39f0-40fd-a84d-c7c5df5990fa.png',NULL,13,NULL,12),(356,'[{\"step 1\":\"臾몄젣?먯꽌 洹몃９ A?€ B媛€ ?숈떆??異쒕컻?섏뿬 13km ?⑥뼱吏?寃쎄린?μ쑝濡??대룞?쒕떎. 洹몃９ A???쒖냽 5km濡?嫄룰퀬, 洹몃９ B???쒖냽 50km濡?踰꾩뒪瑜??€怨?媛꾨떎. P 吏€?먯? ?숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠??\"},{\"step 2\":\"P 吏€?먭퉴吏€??嫄곕━??6.5km?대떎. 洹몃９ B??踰꾩뒪瑜??€怨?P 吏€?먭퉴吏€ ?대룞????嫄몄뼱??寃쎄린?κ퉴吏€ 媛꾨떎. 踰꾩뒪??利됱떆 ?뚯븘?€ 洹몃９ A瑜??쒖슦怨?寃쎄린?μ쑝濡?媛꾨떎.\"},{\"step 3\":\"洹몃９ B媛€ P 吏€?먭퉴吏€ 踰꾩뒪瑜??€怨?媛??쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. 洹몃９ B媛€ P 吏€?먯뿉??寃쎄린?κ퉴吏€ 嫄룸뒗 ?쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ A??泥섏쓬遺€???앷퉴吏€ 嫄몄뼱媛€硫?13km / 5km/h = 2.6?쒓컙??嫄몃┛?? 踰꾩뒪??洹몃９ A瑜??쒖슦怨?6.5km瑜??대룞?섎뒗??6.5km / 50km/h = 0.13?쒓컙??嫄몃┛??\"},{\"step 5\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨??대룞??嫄곕━??6.5km?대떎. ?곕씪??洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A?€ 洹몃９ B??媛곴컖 6.5km瑜?嫄몄뿀??\"}]','2025-09-29 15:24:44.948616','uploads/242a1327-6dab-47e5-b3a9-958faeab3704.png',NULL,9,NULL,12),(357,'[{\"step 1\":\"?숆탳?먯꽌 寃쎄린?κ퉴吏€??嫄곕━??13km?대떎. P???숆탳?€ 寃쎄린???ъ씠??以묎컙 吏€?먯씠誘€濡? P源뚯???嫄곕━??6.5km?대떎.\"},{\"step 2\":\"洹몃９ A??5km/h???띾룄濡?嫄룰퀬, 洹몃９ B??50km/h???띾룄濡?踰꾩뒪瑜??€怨?媛꾨떎. ?곕씪??洹몃９ A媛€ P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 5km/h = 1.3?쒓컙?대떎.\"},{\"step 3\":\"洹몃９ B??50km/h???띾룄濡?6.5km瑜??대룞?섎?濡? P源뚯? ?꾨떖?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎.\"},{\"step 4\":\"洹몃９ B??P?먯꽌 ?대젮 嫄룰린 ?쒖옉?섍퀬, 踰꾩뒪??洹몃９ A瑜??쒖슦???뚯븘媛꾨떎. 洹몃９ A??踰꾩뒪瑜??€怨??⑥? 6.5km瑜??대룞?쒕떎.\"},{\"step 5\":\"洹몃９ A媛€ 踰꾩뒪瑜??€怨??⑥? 6.5km瑜??대룞?섎뒗 ??嫄몃━???쒓컙?€ 6.5km / 50km/h = 0.13?쒓컙?대떎. ?곕씪??洹몃９ A?€ 洹몃９ B???숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 6\":\"洹몃９ A??泥섏쓬 6.5km瑜?嫄몄뿀怨? 洹몃９ B??泥섏쓬 6.5km瑜?踰꾩뒪濡??대룞?????섎㉧吏€ 6.5km瑜?嫄몄뿀??\"},{\"answer\":\"洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"}]','2025-09-29 15:25:47.660144','uploads/e87eff8d-582a-42b6-843c-d2fd91c13b27.png',NULL,9,NULL,12),(358,'[{\"step 1\":\"二쇱뼱吏?湲곗슱湲곗? ?먯쓣 ?댁슜?섏뿬 ?쇱감?⑥닔??諛⑹젙?앹쓣 援ы븳?? 湲곗슱湲곌? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?닿퀬, ??(2, -1)??吏€?섎?濡? ??湲곗슱湲?諛⑹젙??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>???ъ슜?쒕떎.\"},{\"step 2\":\"??湲곗슱湲?諛⑹젙?앹뿉 ??(2, -1)怨?湲곗슱湲?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIj8+CjwhRE9DVFlQRSBzdmcgUFVCTElDICctLy9XM0MvL0RURCBTVkcgMS4wLy9FTicKICAgICAgICAgICdodHRwOi8vd3d3LnczLm9yZy9UUi8yMDAxL1JFQy1TVkctMjAwMTA5MDQvRFREL3N2ZzEwLmR0ZCc+CjxzdmcgeG1sbnM6eGxpbms9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkveGxpbmsiIHN0eWxlPSJmaWxsLW9wYWNpdHk6MTsgY29sb3ItcmVuZGVyaW5nOmF1dG87IGNvbG9yLWludGVycG9sYXRpb246YXV0bzsgdGV4dC1yZW5kZXJpbmc6YXV0bzsgc3Ryb2tlOmJsYWNrOyBzdHJva2UtbGluZWNhcDpzcXVhcmU7IHN0cm9rZS1taXRlcmxpbWl0OjEwOyBzaGFwZS1yZW5kZXJpbmc6YXV0bzsgc3Ryb2tlLW9wYWNpdHk6MTsgZmlsbDpibGFjazsgc3Ryb2tlLWRhc2hhcnJheTpub25lOyBmb250LXdlaWdodDpub3JtYWw7IHN0cm9rZS13aWR0aDoxOyBmb250LWZhbWlseTonRGlhbG9nJzsgZm9udC1zdHlsZTpub3JtYWw7IHN0cm9rZS1saW5lam9pbjptaXRlcjsgZm9udC1zaXplOjEycHg7IHN0cm9rZS1kYXNob2Zmc2V0OjA7IGltYWdlLXJlbmRlcmluZzphdXRvOyIgd2lkdGg9IjI1IiBoZWlnaHQ9IjUxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciCj48IS0tR2VuZXJhdGVkIGJ5IHRoZSBCYXRpayBHcmFwaGljczJEIFNWRyBHZW5lcmF0b3ItLT48ZGVmcyBpZD0iZ2VuZXJpY0RlZnMiCiAgLz48ZwogID48ZyB0cmFuc2Zvcm09InNjYWxlKDIwLDIwKSB0cmFuc2xhdGUoMC4zNywwLjg5NDQpIHNjYWxlKDAuMDEsMC4wMSkiIHN0eWxlPSJmb250LXNpemU6MTAwcHg7IHRleHQtcmVuZGVyaW5nOmdlb21ldHJpY1ByZWNpc2lvbjsgY29sb3ItcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgaW1hZ2UtcmVuZGVyaW5nOm9wdGltaXplUXVhbGl0eTsgZm9udC1mYW1pbHk6J2psbV9jbXIxMCc7IGNvbG9yLWludGVycG9sYXRpb246bGluZWFyUkdCOyIKICAgID48dGV4dCB4PSIwIiB4bWw6c3BhY2U9InByZXNlcnZlIiB5PSIwIiBzdHlsZT0ic3Ryb2tlOm5vbmU7IgogICAgICA+MjwvdGV4dAogICAgPjwvZwogICAgPjxnIHRyYW5zZm9ybT0ibWF0cml4KDIwLDAsMCwyMCwwLDApIiBzdHlsZT0iZm9udC1zaXplOjEwMHB4OyB0ZXh0LXJlbmRlcmluZzpnZW9tZXRyaWNQcmVjaXNpb247IGNvbG9yLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGltYWdlLXJlbmRlcmluZzpvcHRpbWl6ZVF1YWxpdHk7IGZvbnQtZmFtaWx5OidqbG1fY21yMTAnOyBjb2xvci1pbnRlcnBvbGF0aW9uOmxpbmVhclJHQjsiCiAgICA+PHJlY3QgeD0iMC4zNyIgd2lkdGg9IjAuNSIgaGVpZ2h0PSIwLjA0IiB5PSIxLjMwMSIgc3R5bGU9InN0cm9rZTpub25lOyIKICAgICAgLz48dGV4dCB4PSIwIiB4bWw6c3BhY2U9InByZXNlcnZlIiB5PSIwIiBzdHlsZT0ic3Ryb2tlOm5vbmU7IiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgwLjM3LDIuMjU2OSkgc2NhbGUoMC4wMSwwLjAxKSIKICAgICAgPjM8L3RleHQKICAgID48L2cKICA+PC9nCj48L3N2Zwo+Cg==\\\" style=\\\"vertical-align:middle;\\\"/>???€?낇븳?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>.\"},{\"step 3\":\"諛⑹젙?앹쓣 ?뺣━?섏뿬 ?쇰컲?곸씤 ?쇱감?⑥닔???뺥깭 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡?蹂€?섑븳?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?대?濡? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>.\"},{\"step 4\":\"理쒖쥌?곸쑝濡?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?쇰뒗 ?쇱감?⑥닔??諛⑹젙?앹쓣 ?삳뒗??\"},{\"answer\":\"y = \\\\frac{2}{3}x - \\\\frac{7}{3}\"}]','2025-09-29 15:26:33.898561','uploads/32353d83-a26f-4870-9168-f57ca164813c.png',NULL,11,NULL,12),(359,'[{\"step 1\":\"二쇱뼱吏?湲곗슱湲곗? ?먯쓣 ?댁슜?섏뿬 ?쇱감?⑥닔??諛⑹젙?앹쓣 援ы븳?? ?쇱감?⑥닔???쇰컲?곸씤 ?뺥깭??y = mx + b?대떎. ?ш린??m?€ 湲곗슱湲? b??y?덊렪?대떎.\"},{\"step 2\":\"湲곗슱湲?m = 2/3?닿퀬, ??(2, -1)??吏€?섎?濡? ???먯쓣 諛⑹젙?앹뿉 ?€?낇븯??y?덊렪 b瑜?援ы븳?? -1 = (2/3) * 2 + b瑜??€硫? b = -1 - 4/3 = -7/3?대떎.\"},{\"step 3\":\"?댁젣 y?덊렪 b瑜??뚯븯?쇰?濡? ?쇱감?⑥닔??諛⑹젙?앹? y = (2/3)x - 7/3???쒕떎.\"},{\"answer\":\"y = (2/3)x - 7/3\"}]','2025-09-29 15:27:45.759607','uploads/396333b6-2948-40b3-ab6a-7b825838fa6f.png',NULL,11,NULL,12),(360,'[{\"step 1\":\"二쇱뼱吏?湲곗슱湲곗? ?먯쓣 ?뺤씤?쒕떎. 湲곗슱湲?m?€ 2/3?닿퀬, ??(x?? y???€ (2, -1)?대떎.\"},{\"step 2\":\"??湲곗슱湲?諛⑹젙?앹쓽 怨듭떇???ъ슜?쒕떎. ??怨듭떇?€ y - y??= m(x - x???대떎.\"},{\"step 3\":\"二쇱뼱吏?媛믩뱾??怨듭떇???€?낇븳?? y - (-1) = (2/3)(x - 2)濡??€?낇븳??\"},{\"step 4\":\"?앹쓣 ?뺣━?섏뿬 ?쒖??뺤쑝濡?蹂€?섑븳?? y + 1 = (2/3)x - (4/3)濡?蹂€?섑븳 ?? y = (2/3)x - (4/3) - 1濡??뺣━?쒕떎.\"},{\"step 5\":\"y = (2/3)x - (7/3)濡?理쒖쥌 諛⑹젙?앹쓣 ?삳뒗??\"},{\"answer\":\"y = (2/3)x - (7/3)\"}]','2025-09-29 15:29:01.191095','uploads/1e2c5253-d2a4-4299-83b2-d313dca63d88.png',NULL,11,NULL,12),(361,'[{\"step 1\":\"臾몄젣?먯꽌 二쇱뼱吏?????(4, a+4)?€ (-1, 3a+6)???듯빐 吏곸꽑??x異뺢낵 ?됲뻾?섎떎??議곌굔???ъ슜?쒕떎.\"},{\"step 2\":\"吏곸꽑??x異뺢낵 ?됲뻾?섎젮硫????먯쓽 y醫뚰몴媛€ 媛숈븘???쒕떎. 利? a+4 = 3a+6???깅┰?댁빞 ?쒕떎.\"},{\"step 3\":\"諛⑹젙??a+4 = 3a+6???€??a??媛믪쓣 援ы븳?? ?대? ?뺣━?섎㈃ a+4 = 3a+6 -> 4 - 6 = 3a - a -> -2 = 2a -> a = -1???쒕떎.\"},{\"answer\":\"a = -1\"}]','2025-09-29 15:29:43.941206','uploads/fe6775b5-3f43-40ba-8170-ba0a7734daef.png',NULL,10,NULL,12),(362,'[{\"step 1\":\"二쇱뼱吏?洹몃옒?꾩쓽 二쇱슂 ?뱀쭠???앸퀎?쒕떎. X?덊렪怨?Y?덊렪, 洹몃━怨?湲곗슱湲곕? ?뺤씤?쒕떎. 二쇱뼱吏?????A(8, 6)怨?B(6, 5)瑜??ъ슜?섏뿬 湲곗슱湲곕? 怨꾩궛?쒕떎.\"},{\"step 2\":\"??A?€ B瑜??ъ슜?섏뿬 湲곗슱湲곕? 怨꾩궛?쒕떎. 湲곗슱湲?m?€ (5 - 6) / (6 - 8) = -1 / -2 = 1/2?대떎.\"},{\"step 3\":\"??湲곗슱湲?諛⑹젙?앹쓣 ?ъ슜?섏뿬 吏곸꽑??諛⑹젙?앹쓣 援ы븳?? ??A(8, 6)???ъ슜?섏뿬 y - 6 = 1/2(x - 8) ?뺥깭濡??쒖옉?쒕떎.\"},{\"step 4\":\"諛⑹젙?앹쓣 ?뺣━?섏뿬 ?쇰컲?뺤쑝濡?蹂€?섑븳?? 2(y - 6) = x - 8???뺣━?섎㈃ x - 2y = -4媛€ ?쒕떎.\"},{\"step 5\":\"二쇱뼱吏??먮옒 諛⑹젙??ax + by - 4 = 0怨?鍮꾧탳?섏뿬 怨꾩닔瑜?留욎텣?? a = 1, b = -2媛€ ?쒕떎.\"},{\"answer\":\"a = 1, b = -2\"}]','2025-09-29 15:30:52.976753','uploads/949dea71-2b56-4a99-b996-c55727f27558.png',NULL,10,NULL,12),(363,'[{\"step 1\":\"二쇱뼱吏?湲곗슱湲곗? ?먯쓣 ?댁슜?섏뿬 ?쇱감?⑥닔??諛⑹젙?앹쓣 援ы븳?? 湲곗슱湲곌? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?닿퀬, ??(2, -1)??吏€?섎?濡? ??湲곗슱湲?諛⑹젙??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>???ъ슜?쒕떎.\"},{\"step 2\":\"??湲곗슱湲?諛⑹젙?앹뿉 ??(2, -1)怨?湲곗슱湲?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>???€?낇븳?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>.\"},{\"step 3\":\"諛⑹젙?앹쓣 ?뺣━?섏뿬 ?쇰컲?곸씤 ?쇱감?⑥닔???뺥깭 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡?蹂€?섑븳?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?대?濡? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>.\"},{\"step 4\":\"理쒖쥌?곸쑝濡?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?쇰뒗 ?쇱감?⑥닔??諛⑹젙?앹쓣 ?삳뒗??\"},{\"answer\":\"y = \\\\frac{2}{3}x - \\\\frac{7}{3}\"}]','2025-09-29 15:31:22.444044','uploads/40343474-aa7f-4378-8695-c0352c1faaaa.png',NULL,11,NULL,12),(364,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙 ??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙 ??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪??二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 17:57:36.301112','uploads/e74edb43-931d-4694-a6c4-6fb2d1d1d996.png',NULL,8,NULL,12),(365,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?섑븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 19:24:16.506854','uploads/2cdfd41d-e31b-4127-bde5-f5374082bef1.png',NULL,8,NULL,12),(366,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x - 1)(5x - 1)濡??몄닔遺꾪빐?쒕떎.\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹쓽 ?몄닔遺꾪빐 寃곌낵??(5x - 1)^2?대떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 19:24:27.943560','uploads/2cdfd41d-e31b-4127-bde5-f5374082bef1.png',NULL,8,NULL,12),(367,'[{\"step 1\":\"二쇱뼱吏?諛⑹젙?앹쓽 ?뺥깭瑜??몄떇?쒕떎. 二쇱뼱吏?諛⑹젙?앹? ax + by - 4 = 0?대떎.\"},{\"step 2\":\"諛⑹젙?앹쓣 ax + by = 4???뺥깭濡??뺣━?쒕떎. ?대뒗 ?곸닔??쓣 ?ㅻⅨ履쎌쑝濡??대룞?쒗궓 寃껋씠??\"},{\"step 3\":\"????(1, 2)?€ (2, 1)??吏곸꽑 ?꾩뿉 ?덈떎怨?媛€?뺥븯怨? ???먮뱾??諛⑹젙?앹뿉 ?€?낇븯??a?€ b??媛믪쓣 李얜뒗??\"},{\"step 4\":\"??(1, 2)瑜??€?낇븯硫?a + 2b = 4媛€ ?쒕떎. ??(2, 1)???€?낇븯硫?2a + b = 4媛€ ?쒕떎.\"},{\"step 5\":\"??諛⑹젙?앹쓣 ?곕┰?섏뿬 ?쇰떎. 泥?踰덉㎏ 諛⑹젙?앹쓣 2諛고븯??2a + 4b = 8濡?留뚮뱺 ?? ??踰덉㎏ 諛⑹젙?앹뿉??鍮쇰㈃ 3b = 4媛€ ?쒕떎. ?곕씪??b = 4/3?대떎.\"},{\"step 6\":\"b = 4/3??泥?踰덉㎏ 諛⑹젙?앹뿉 ?€?낇븯??a瑜?援ы븳?? a + 2*(4/3) = 4?대?濡?a = 4 - 8/3 = 4/3???쒕떎.\"},{\"answer\":\"a = 4/3, b = 4/3\"}]','2025-09-29 19:26:42.800567','uploads/f781193b-c87d-4519-bac5-df2a67c9a84d.png',NULL,9,NULL,12),(368,'[{\"step 1\":\"二쇱뼱吏?諛⑹젙??ax + by - 4 = 0??洹몃옒?꾧? 二쇱뼱吏?洹몃옒?꾩? ?쇱튂?섎룄濡?a?€ b??媛믪쓣 李얜뒗?? ?대? ?꾪빐 二쇱뼱吏?洹몃옒?꾩쓽 ?뱀쭠??遺꾩꽍?쒕떎.\"},{\"step 2\":\"二쇱뼱吏?洹몃옒?꾩뿉?????먯쓣 ?좏깮?섏뿬 諛⑹젙?앹뿉 ?€?낇븳?? ?덈? ?ㅼ뼱, ??A(x1, y1)?€ ??B(x2, y2)瑜??좏깮?쒕떎.\"},{\"step 3\":\"??A?€ B瑜?諛⑹젙?앹뿉 ?€?낇븯????媛쒖쓽 諛⑹젙?앹쓣 留뚮뱺?? a*x1 + b*y1 = 4?€ a*x2 + b*y2 = 4媛€ ?쒕떎.\"},{\"step 4\":\"????諛⑹젙?앹쓣 ?곕┰?섏뿬 a?€ b??媛믪쓣 援ы븳?? ?대? ?꾪빐 ?€?낅쾿?대굹 ?뚭굅踰뺤쓣 ?ъ슜?????덈떎.\"},{\"step 5\":\"援ы븳 a?€ b??媛믪씠 二쇱뼱吏?洹몃옒?꾩쓽 ?ㅻⅨ ?먮뱾??留뚯”?섎뒗吏€ ?뺤씤?섏뿬 ?쇨??깆쓣 寃€利앺븳??\"},{\"answer\":\"a?€ b??媛믪? 二쇱뼱吏?洹몃옒?꾩쓽 ?뱀쭠???곕씪 ?щ씪吏€硫? 援ъ껜?곸씤 媛믪? 洹몃옒?꾩쓽 ?먯뿉 ?곕씪 寃곗젙?쒕떎.\"}]','2025-09-29 19:28:51.680002','uploads/f781193b-c87d-4519-bac5-df2a67c9a84d.png',NULL,10,NULL,12),(369,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢?앹쓽 ?뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2 - 10x + 1?€ (5x - 1)^2???뺥깭濡?蹂€?뺥븷 ???덈떎. ?대뒗 (5x)^2 - 2*5x*1 + 1^2???뺥깭濡??꾩쟾?쒓낢?앹씠??\"},{\"step 3\":\"?곕씪?? 二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 19:53:10.162652','uploads/3748ea05-5aba-44b6-a8c0-473c3950b9c0.png',NULL,8,NULL,12),(377,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?섑븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪??以묎컙 ??-10x媛€ 2ab ?뺥깭?몄? ?뺤씤?쒕떎.\"},{\"step 3\":\"以묎컙 ??-10x??-2 * 5x * 1濡??쒗쁽?????덈떎. ?곕씪??二쇱뼱吏??ㅽ빆?앹? (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-29 23:41:23.890115','uploads/7ba911a2-89fb-41fe-9441-73bb3c52e98e.png',NULL,8,NULL,12),(378,'[{\"step 1\":\"二쇱뼱吏??ㅽ빆??25x^2 - 10x + 1???몄닔遺꾪빐?섍린 ?꾪빐 ?꾩쟾?쒓낢???뺥깭濡?蹂€?뺥븷 ???덈뒗吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"25x^2??(5x)^2濡??쒗쁽?????덇퀬, 1?€ 1^2濡??쒗쁽?????덈떎. ?곕씪?????ㅽ빆?앹? (5x - 1)^2???뺥깭濡?蹂€?뺣맆 ???덈떎.\"},{\"step 3\":\"?곕씪??25x^2 - 10x + 1?€ (5x - 1)^2濡??몄닔遺꾪빐?쒕떎.\"},{\"answer\":\"(5x - 1)^2\"}]','2025-09-30 15:23:20.524728','uploads/a2cbe7ac-df5a-4dd3-a92e-86c66784bce6.png',NULL,8,NULL,12),(379,'[{\"step 1\":\"臾몄젣瑜??댄빐?쒕떎. 洹몃９ A??5km/h濡?嫄룰퀬, 洹몃９ B??50km/h濡?踰꾩뒪瑜??€怨?媛꾨떎. ??洹몃９?€ ?숈떆??異쒕컻?섎ʼn, 洹몃９ B??以묎컙 吏€??P?먯꽌 踰꾩뒪?먯꽌 ?대젮 嫄룰린 ?쒖옉?쒕떎. 踰꾩뒪??利됱떆 ?뚯븘?€ 洹몃９ A瑜??쒖슦怨??ㅼ떆 寃쎄린?μ쑝濡?媛꾨떎. ??洹몃９?€ ?숈떆??寃쎄린?μ뿉 ?꾩갑?쒕떎.\"},{\"step 2\":\"寃쎄린?κ퉴吏€??珥?嫄곕━??13km?대떎. 以묎컙 吏€??P??6.5km 吏€?먯씠?? 洹몃９ B??6.5km源뚯? 踰꾩뒪瑜??€怨?媛붽퀬, ?섎㉧吏€ 6.5km瑜?嫄몄뼱媛붾떎.\"},{\"step 3\":\"踰꾩뒪??洹몃９ B瑜??대젮二쇨퀬 ?뚯븘?€ 洹몃９ A瑜??쒖슫?? 洹몃９ A??6.5km瑜?嫄몄뼱媛붽퀬, ?섎㉧吏€ 6.5km瑜?踰꾩뒪瑜??€怨?媛붾떎.\"},{\"step 4\":\"洹몃９ A媛€ 嫄몄? 嫄곕━?€ 洹몃９ B媛€ 嫄몄? 嫄곕━瑜?怨꾩궛?쒕떎. 洹몃９ A??6.5km瑜?嫄몄뿀怨? 洹몃９ B??6.5km瑜?嫄몄뿀??\"},{\"step 5\":\"??洹몃９???숈떆???꾩갑?덉쑝誘€濡? 洹몃９ A?€ 洹몃９ B媛€ 嫄몄? 嫄곕━???숈씪?섎떎.\"},{\"answer\":\"洹몃９ A?€ 洹몃９ B??媛곴컖 6.5km瑜?嫄몄뿀??\"}]','2025-09-30 15:26:21.413764','uploads/13fc6a01-1f19-4b73-b497-63f249ed7e2c.png',NULL,9,NULL,12),(380,'[{\"step 1\":\"二쇱뼱吏?湲곗슱湲곗? ?먯쓣 ?댁슜?섏뿬 ?쇱감?⑥닔??諛⑹젙?앹쓣 援ы븳?? ?쇱감?⑥닔???쇰컲?곸씤 ?뺥깭??y = mx + b?대떎. ?ш린??m?€ 湲곗슱湲? b??y?덊렪?대떎.\"},{\"step 2\":\"湲곗슱湲?m = 2/3?닿퀬, ??(2, -1)??吏€?섎?濡? ???먯쓣 諛⑹젙?앹뿉 ?€?낇븯??y?덊렪 b瑜?援ы븳?? -1 = (2/3) * 2 + b瑜??€硫? b = -1 - 4/3 = -7/3?대떎.\"},{\"step 3\":\"?곕씪???쇱감?⑥닔??諛⑹젙?앹? y = (2/3)x - 7/3?대떎.\"},{\"answer\":\"y = (2/3)x - 7/3\"}]','2025-09-30 15:28:45.643081','uploads/7cfe7e7e-65db-4b04-9f5d-f9b2a30eccae.png',NULL,11,NULL,21),(381,'[{\"step 1\":\"二쇱뼱吏?湲곗슱湲곗? ?먯쓣 ?댁슜?섏뿬 ?쇱감?⑥닔??諛⑹젙?앹쓣 援ы븳?? 湲곗슱湲곌? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>?닿퀬, ??(2, -1)??吏€?섎?濡? ??湲곗슱湲?諛⑹젙??<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>???ъ슜?쒕떎.\"},{\"step 2\":\"??湲곗슱湲?諛⑹젙?앹뿉 ??(2, -1)怨?湲곗슱湲?<img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>???€?낇븳?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>.\"},{\"step 3\":\"諛⑹젙?앹쓣 ?뺣━?섏뿬 ?쇰컲?곸씤 ?쇱감?⑥닔???뺥깭 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡?蹂€?섑븳?? <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>.\"},{\"step 4\":\"?묐??먯꽌 1??鍮쇱꽌 <img alt=\\\"math\\\" src=\\\"data:image/svg+xml;base64,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\\\" style=\\\"vertical-align:middle;\\\"/>濡??뺣━?쒕떎.\"},{\"answer\":\"y = \\\\frac{2}{3}x - \\\\frac{7}{3}\"}]','2025-09-30 15:29:00.466575','uploads/7cfe7e7e-65db-4b04-9f5d-f9b2a30eccae.png',NULL,11,NULL,21),(382,'[{\"step 1\":\"二쇱뼱吏??쇱감諛⑹젙??3x + y = 7??媛??좏깮吏€瑜??€?낇븯??李몄씤吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"?좏깮吏€ ??(1/3, 6)???€?낇븯硫? 3(1/3) + 6 = 1 + 6 = 7?대?濡?李몄씠??\"},{\"step 3\":\"?좏깮吏€ ??(1, 4)瑜??€?낇븯硫? 3(1) + 4 = 3 + 4 = 7?대?濡?李몄씠??\"},{\"step 4\":\"?좏깮吏€ ??(2, 1)???€?낇븯硫? 3(2) + 1 = 6 + 1 = 7?대?濡?李몄씠??\"},{\"step 5\":\"?좏깮吏€ ??(-2/3, 9)瑜??€?낇븯硫? 3(-2/3) + 9 = -2 + 9 = 7?대?濡?李몄씠??\"},{\"step 6\":\"?좏깮吏€ ??(-2, -1)???€?낇븯硫? 3(-2) + (-1) = -6 - 1 = -7?대?濡?嫄곗쭞?대떎.\"},{\"answer\":\"??(-2, -1)\"}]','2025-09-30 15:32:52.360902','uploads/6b96eecd-3058-4a3c-8918-198cd7810eea.png',NULL,9,NULL,22),(383,'[{\"step 1\":\"二쇱뼱吏??쇱감諛⑹젙??3x + y = 7??媛??좏깮吏€瑜??€?낇븯??李몄씤吏€ ?뺤씤?쒕떎.\"},{\"step 2\":\"?좏깮吏€ ??(1/3, 6)???€?낇븯硫? 3(1/3) + 6 = 1 + 6 = 7?대?濡?李몄씠??\"},{\"step 3\":\"?좏깮吏€ ??(1, 4)瑜??€?낇븯硫? 3(1) + 4 = 3 + 4 = 7?대?濡?李몄씠??\"},{\"step 4\":\"?좏깮吏€ ??(2, 1)???€?낇븯硫? 3(2) + 1 = 6 + 1 = 7?대?濡?李몄씠??\"},{\"step 5\":\"?좏깮吏€ ??(-2/3, 9)瑜??€?낇븯硫? 3(-2/3) + 9 = -2 + 9 = 7?대?濡?李몄씠??\"},{\"step 6\":\"?좏깮吏€ ??(-2, -1)???€?낇븯硫? 3(-2) + (-1) = -6 - 1 = -7?대?濡?嫄곗쭞?대떎.\"},{\"answer\":\"??(-2, -1)\"}]','2025-09-30 15:33:16.630313','uploads/6b96eecd-3058-4a3c-8918-198cd7810eea.png',NULL,9,NULL,22);
/*!40000 ALTER TABLE `question` ENABLE KEYS */;
UNLOCK TABLES;

--
-- Table structure for table `refresh_token`
--

DROP TABLE IF EXISTS `refresh_token`;
/*!40101 SET @saved_cs_client     = @@character_set_client */;
/*!50503 SET character_set_client = utf8mb4 */;
CREATE TABLE `refresh_token` (
  `id` bigint NOT NULL AUTO_INCREMENT,
  `token` varchar(500) NOT NULL,
  `user_id` bigint DEFAULT NULL,
  PRIMARY KEY (`id`),
  UNIQUE KEY `UKr4k4edos30bx9neoq81mdvwph` (`token`)
) ENGINE=InnoDB AUTO_INCREMENT=178 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_0900_ai_ci;
/*!40101 SET character_set_client = @saved_cs_client */;

--
-- Dumping data for table `refresh_token`
--

LOCK TABLES `refresh_token` WRITE;
/*!40000 ALTER TABLE `refresh_token` DISABLE KEYS */;
INSERT INTO `refresh_token` VALUES (5,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0ZXN0dXNlckBleGFtcGxlLmNvbSIsImlhdCI6MTc1NjEwNTM3MiwiZXhwIjoxNzU3MzE0OTcyfQ.qBT1CJdfsB3hqMkwiHIY1vsyu7xjF59myg6O0oGAHw8',3),(25,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJneXdqZDcxODBAZ21haWwuY29tIiwiaWF0IjoxNzU2MTIwNzMzLCJleHAiOjE3NTczMzAzMzN9.ZVld_1dNoIDLEMpgW8oqtYYmb8iTWH9LMHzXeEZc6bo',4),(105,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJqYWtldGhlZG9nMjhAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzA2MTY2LCJleHAiOjE3NTc1MTU3NjZ9.m9R1t1nSoQAUhic7b3LdSYegWkKfIbgOlYj17Ig32gE',6),(107,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJqYWtldGhlZG9nMjhAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzA2ODI0LCJleHAiOjE3NTc1MTY0MjR9.sEvwkF8CFdmyFnfDAFGl3wf47Sz3dqszz5w1l5Z8h_E',7),(109,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJqYWtldGhlZG9nMjhAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzA3NTIyLCJleHAiOjE3NTc1MTcxMjJ9.CX4OaExZYN20B-wZs1khs-RZZ55pmB9ZUB5uTG-t_7g',8),(110,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJqYWtldGhlZG9nMjhAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzA3NTYxLCJleHAiOjE3NTc1MTcxNjF9.V2XMYTmiXehx449ck7VcnQCHbFAJozBO5W7O4b2ijK4',9),(112,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0bndqZDM3NThAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzEwMjY3LCJleHAiOjE3NTc1MTk4Njd9.q4AmYrBLzbaF4UaxRydpsTfzkmvDgENENVPlrobSnHQ',2),(116,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0bndqZDM3NThAZHVrc3VuZy5hYy5rciIsImlhdCI6MTc1NjMyMDI2MywiZXhwIjoxNzU3NTI5ODYzfQ.Byeoydmz2XQOHXzp8xG-oSAvyfNT0QBnti6cr86WmF8',11),(119,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0bndqZDM3NThAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzIwNjE1LCJleHAiOjE3NTc1MzAyMTV9.3v841SkFbO2f9LEePBd0bwLg8DIBMFKpMUiz1dytra8',10),(124,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0bndqZDM3NThAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzU4NDg5LCJleHAiOjE3NTc1NjgwODl9.57pEas03bMzr5WL7b5RaD3j3pzcPeIhna4-YA9ymITk',14),(130,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0bndqZDM3NThAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzYyMzAwLCJleHAiOjE3NTc1NzE5MDB9.Ujfqhz3-EeJVlYevPuPr-X5rkkbTQDpLkblHZWf1TYc',15),(132,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0bndqZDM3NThAbmF2ZXIuY29tIiwiaWF0IjoxNzU2MzYyNjU5LCJleHAiOjE3NTc1NzIyNTl9.zq6mOWFs9IBnz1cBynftL98dunANtLF1wrcFfnecjHI',16),(133,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJoYW5ndWswNTA4QG5hdmVyLmNvbSIsImlhdCI6MTc1NjM2MjgwMCwiZXhwIjoxNzU3NTcyNDAwfQ.Vyj-6w9D2hwQ2ys2rQcWdC9D39C0fzcA2et2ABLcT7k',13),(135,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJvcnZvc2Rva3RvcjIxQGdtYWlsLmNvbSIsImlhdCI6MTc1ODgxMTA3MiwiZXhwIjoxNzYwMDIwNjcyfQ.j-HZujddrV-ZA3dv53K72GD1GQ32jeNm40tYQ5J2AaY',1),(136,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJvcnZvc2Rva3RvcjIxQG5hdmVyLmNvbSIsImlhdCI6MTc1ODgxNTQwMywiZXhwIjoxNzYwMDI1MDAzfQ.SMnZzWKO4HfC1gQumb9O7tB_ZYo0MJmmwQ8zRACRk48',17),(140,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJvcnZvc2Rva3RvcjIxQG5hdmVyLmNvbSIsImlhdCI6MTc1ODgxNzA4MCwiZXhwIjoxNzYwMDI2NjgwfQ.mlqlbCBktDjo_sJcXnNCbI1WndRCTfaEtGaBO7vMPRU',18),(154,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0ZWNobmFyY2hpdGVjdEBnbWFpbC5jb20iLCJpYXQiOjE3NTkwNTM3NTQsImV4cCI6MTc2MDI2MzM1NH0.G_QVL_tC_5QF29xNgD6ixYGhW-DuibTZQxEPhKoJ5mQ',5),(159,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiIyMDIyMDc3OUBkdWtzdW5nLmFjLmtyIiwiaWF0IjoxNzU5MTA1Mjc3LCJleHAiOjE3NjAzMTQ4Nzd9.qplLyYODcSdPKFgGJ9o90WfYmHZ0hUoO3Nw7hedwguA',19),(174,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJiYW5nc3RhdGlvbjA3MTRAbmF2ZXIuY29tIiwiaWF0IjoxNzU5MjEzODk2LCJleHAiOjE3NjA0MjM0OTZ9.Q-uJLuDRVw07lGpl8jsPf-kKzzloc3kWEt1VhWAd6r4',22),(176,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJ0bndqZDM3NThAZHVrc3VuZy5hYy5rciIsImlhdCI6MTc1OTIxNDIyOCwiZXhwIjoxNzYwNDIzODI4fQ.u9CvdW3JOeYnBHnagdWtE_hXZXkPUj6K1QkIAmZZ5_c',12),(177,'eyJhbGciOiJIUzI1NiJ9.eyJzdWIiOiJvcnZvc2Rva3RvcjIxQG5hdmVyLmNvbSIsImlhdCI6MTc1OTIyMDcyNSwiZXhwIjoxNzYwNDMwMzI1fQ.ef_inLN6o8LYz4nDgCbb_BWWng9gntYGpH_zPrjRj-Y',21);
/*!40000 ALTER TABLE `refresh_token` ENABLE KEYS */;
UNLOCK TABLES;

--
-- Table structure for table `social_users`
--

DROP TABLE IF EXISTS `social_users`;
/*!40101 SET @saved_cs_client     = @@character_set_client */;
/*!50503 SET character_set_client = utf8mb4 */;
CREATE TABLE `social_users` (
  `id` bigint NOT NULL AUTO_INCREMENT,
  `user_id` bigint NOT NULL,
  `provider` varchar(20) DEFAULT NULL,
  `social_id` varchar(50) DEFAULT NULL,
  PRIMARY KEY (`id`),
  UNIQUE KEY `provider` (`provider`,`social_id`),
  KEY `user_id` (`user_id`),
  CONSTRAINT `social_users_ibfk_1` FOREIGN KEY (`user_id`) REFERENCES `users` (`id`)
) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_0900_ai_ci;
/*!40101 SET character_set_client = @saved_cs_client */;

--
-- Dumping data for table `social_users`
--

LOCK TABLES `social_users` WRITE;
/*!40000 ALTER TABLE `social_users` DISABLE KEYS */;
/*!40000 ALTER TABLE `social_users` ENABLE KEYS */;
UNLOCK TABLES;

--
-- Table structure for table `unit`
--

DROP TABLE IF EXISTS `unit`;
/*!40101 SET @saved_cs_client     = @@character_set_client */;
/*!50503 SET character_set_client = utf8mb4 */;
CREATE TABLE `unit` (
  `unit_id` bigint NOT NULL AUTO_INCREMENT,
  `group_name` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci NOT NULL,
  `unit_type` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci NOT NULL,
  PRIMARY KEY (`unit_id`)
) ENGINE=InnoDB AUTO_INCREMENT=28 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_unicode_ci;
/*!40101 SET character_set_client = @saved_cs_client */;

--
-- Dumping data for table `unit`
--

LOCK TABLES `unit` WRITE;
/*!40000 ALTER TABLE `unit` DISABLE KEYS */;
INSERT INTO `unit` VALUES (1,'?섏? ?곗궛','?먯뿰?섏쓽 ?깆쭏'),(2,'?섏? ?곗궛','?뺤닔?€ ?좊━??),(3,'?섏? ?곗궛','?좊━?섏? ?뚯닔'),(4,'?섏? ?곗궛','?좊━?섏? ?쒗솚?뚯닔'),(5,'?섏? ?곗궛','?ㅼ닔?€ ?쒓낢洹?),(6,'臾몄옄?€ ??,'臾몄옄?€ ??),(7,'臾몄옄?€ ??,'?앹쓽 怨꾩궛'),(8,'臾몄옄?€ ??,'?몄닔遺꾪빐'),(9,'諛⑹젙?앷낵 ?⑥닔','?쇱감諛⑹젙??),(10,'諛⑹젙?앷낵 ?⑥닔','醫뚰몴?됰㈃怨?洹몃옒??),(11,'諛⑹젙?앷낵 ?⑥닔','?쇱감?⑥닔'),(12,'諛⑹젙?앷낵 ?⑥닔','?곕┰諛⑹젙??),(13,'諛⑹젙?앷낵 ?⑥닔','?댁감諛⑹젙??),(14,'諛⑹젙?앷낵 ?⑥닔','?댁감?⑥닔'),(15,'?꾪삎','湲곕낯 ?꾪삎'),(16,'?꾪삎','?꾪삎???대룞'),(17,'?꾪삎','?꾪삎???깆쭏'),(18,'?꾪삎','?꾪삎???묐룄?€ ?⑸룞'),(19,'?꾪삎','?쇨컖?뺢낵 ?ш컖??),(20,'?꾪삎','?쇳?怨좊씪???뺣━'),(21,'?꾪삎','?먯쓽 諛⑹젙??),(22,'?먮즺?€ ?듦퀎','?먮즺???섏쭛怨??뺣━'),(23,'?먮즺?€ ?듦퀎','?됯퇏怨?以묒븰媛?),(24,'?먮즺?€ ?듦퀎','媛€?μ꽦'),(25,'?먮즺?€ ?듦퀎','?먮즺???쒗쁽怨??댁꽍'),(26,'?먮즺?€ ?듦퀎','?뺣쪧'),(27,'?먮즺?€ ?듦퀎','?듦퀎???댄빐?€ ?쒖슜');
/*!40000 ALTER TABLE `unit` ENABLE KEYS */;
UNLOCK TABLES;

--
-- Table structure for table `user`
--

DROP TABLE IF EXISTS `user`;
/*!40101 SET @saved_cs_client     = @@character_set_client */;
/*!50503 SET character_set_client = utf8mb4 */;
CREATE TABLE `user` (
  `id` bigint NOT NULL AUTO_INCREMENT,
  `email` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci NOT NULL,
  `password` varchar(255) CHARACTER SET utf8mb4 COLLATE utf8mb4_unicode_ci NOT NULL,
  `created_at` datetime(6) DEFAULT NULL,
  PRIMARY KEY (`id`),
  UNIQUE KEY `UKob8kqyqqgmefl0aco34akdtpe` (`email`)
) ENGINE=InnoDB AUTO_INCREMENT=11 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_unicode_ci;
/*!40101 SET character_set_client = @saved_cs_client */;

--
-- Dumping data for table `user`
--

LOCK TABLES `user` WRITE;
/*!40000 ALTER TABLE `user` DISABLE KEYS */;
INSERT INTO `user` VALUES (3,'test@example.com','$2a$10$qU2DLOLqkKEsXjK1o.1AWercRx5VhwG291/G.ev0cHxY8hhAljjL6',NULL),(6,'orvosdoktor21@gmail.com','$2a$10$PzhTZFGTRsZ7pJYuoFFLDuiPgH4kLuFnhF2VXoR/dktp5Y8pcWYdG',NULL),(7,'technarchitect@gmail.com','$2a$10$/SHur7iySOPPLWOxWW9.hudMnFi/f4B.VwrRRBjaZd0sVLdUhciRG','2025-08-24 14:51:56.320070'),(10,'orvosdoktor21@naver.com','$2a$10$vZkVItXapFhG1K01aZqR1uiBvM36eJy8uoa5c9cMW0XHLopg5CbZG','2025-08-25 12:21:06.716991');
/*!40000 ALTER TABLE `user` ENABLE KEYS */;
UNLOCK TABLES;

--
-- Table structure for table `users`
--

DROP TABLE IF EXISTS `users`;
/*!40101 SET @saved_cs_client     = @@character_set_client */;
/*!50503 SET character_set_client = utf8mb4 */;
CREATE TABLE `users` (
  `id` bigint NOT NULL AUTO_INCREMENT,
  `email` varchar(255) NOT NULL,
  `password` varchar(255) NOT NULL,
  `name` varchar(255) DEFAULT NULL,
  `social_id` varchar(255) DEFAULT NULL,
  `status` enum('ACTIVE','INACTIVE') NOT NULL,
  `login_type` enum('KAKAO','NORMAL') NOT NULL,
  PRIMARY KEY (`id`),
  UNIQUE KEY `UK6dotkott2kjsp8vw4d0m25fb7` (`email`),
  UNIQUE KEY `uk_users_email_loginType` (`email`,`login_type`),
  UNIQUE KEY `UKg6t6xceecpep2b40vy35x1nve` (`social_id`),
  UNIQUE KEY `uk_users_social_login` (`social_id`,`login_type`)
) ENGINE=InnoDB AUTO_INCREMENT=23 DEFAULT CHARSET=utf8mb4 COLLATE=utf8mb4_0900_ai_ci;
/*!40101 SET character_set_client = @saved_cs_client */;

--
-- Dumping data for table `users`
--

LOCK TABLES `users` WRITE;
/*!40000 ALTER TABLE `users` DISABLE KEYS */;
INSERT INTO `users` VALUES (1,'orvosdoktor21@gmail.com','$2a$10$Iu02iOb8bzxJg7qk7YaqF.fAJHvpN4S0Axr5LrcN8utaoSm.euofC',NULL,NULL,'ACTIVE','KAKAO'),(3,'testuser@example.com','$2a$10$3NNmxm6ajbMkqk0A2QuDS.lPni1BAax7xJLdEBcfJ1y3/OF0k/4FC',NULL,NULL,'ACTIVE','KAKAO'),(4,'gywjd7180@gmail.com','$2a$10$Rf.bKXD3VU7q6PNw/GK2h.GhqW7z5zqWweVkmK.BixlnPYquxuKNS',NULL,NULL,'ACTIVE','KAKAO'),(5,'technarchitect@gmail.com','$2a$10$EZWua5z85ad6naoWjzP2o./XMFspoND5kN8WDcW.LQsDPrqYyrlGy',NULL,NULL,'ACTIVE','KAKAO'),(12,'tnwjd3758@duksung.ac.kr','$2a$10$Etc6tjd/HaPvFORchgsfJemGEmF6zs6bXv3Nu4UL6OF1vHN.opUce',NULL,NULL,'ACTIVE','NORMAL'),(13,'hanguk0508@naver.com','$2a$10$kBrLRuGtBXw7kep.KdmOvOQmxHxuANr54kuuRv2aoEme0smWo9Ld.',NULL,NULL,'ACTIVE','NORMAL'),(19,'20220779@duksung.ac.kr','$2a$10$.7qqJf13k4navITL9g.Y5OeGVT9WrvchBSRA24tWWJhlIHCDX2kZ2',NULL,NULL,'ACTIVE','NORMAL'),(21,'orvosdoktor21@naver.com','$2a$10$Db.iMfCWCiHJ5Dz0oMZKMemzA59VpyaE0Yog8mJQj2qi2cqYIUZNC',NULL,NULL,'ACTIVE','NORMAL'),(22,'bangstation0714@naver.com','$2a$10$hDGg7s0n8Q7m.XMQj5ptA.5Uh26iPmllM7CokVugFAHWHPpwwJrWS',NULL,NULL,'ACTIVE','NORMAL');
/*!40000 ALTER TABLE `users` ENABLE KEYS */;
UNLOCK TABLES;
/*!40103 SET TIME_ZONE=@OLD_TIME_ZONE */;

/*!40101 SET SQL_MODE=@OLD_SQL_MODE */;
/*!40014 SET FOREIGN_KEY_CHECKS=@OLD_FOREIGN_KEY_CHECKS */;
/*!40014 SET UNIQUE_CHECKS=@OLD_UNIQUE_CHECKS */;
/*!40101 SET CHARACTER_SET_CLIENT=@OLD_CHARACTER_SET_CLIENT */;
/*!40101 SET CHARACTER_SET_RESULTS=@OLD_CHARACTER_SET_RESULTS */;
/*!40101 SET COLLATION_CONNECTION=@OLD_COLLATION_CONNECTION */;
/*!40111 SET SQL_NOTES=@OLD_SQL_NOTES */;

-- Dump completed on 2025-10-04 14:20:41