diff --git a/app/(game)/play/PlayClient.tsx b/app/(game)/play/PlayClient.tsx
index 05e9736..a650cd7 100644
--- a/app/(game)/play/PlayClient.tsx
+++ b/app/(game)/play/PlayClient.tsx
@@ -38,13 +38,13 @@ export default function PlayClient({ problemCount }: PlayClientProps) {
   const [answerB, setAnswerB] = useState("");
   const [inputError, setInputError] = useState("");
 
+  const sessionProblemCount = session?.problems.length ?? null;
   const currentProblem = session?.problems[session.currentIndex] ?? null;
   const currentResult = session?.results[session.currentIndex] ?? null;
   const isComplete = Boolean(
     session && session.currentIndex >= session.problems.length,
   );
-  const sessionNeedsInit =
-    session === null || session.problems.length !== problemCount;
+  const sessionNeedsInit = sessionProblemCount !== problemCount;
   const correctCount =
     session?.results.filter((result) => result?.correct).length ?? 0;
   const totalCount = session?.problems.length ?? 0;
@@ -61,7 +61,7 @@ export default function PlayClient({ problemCount }: PlayClientProps) {
     initSession,
     problemCount,
     selectedProblemCount,
-    session,
+    sessionProblemCount,
     sessionNeedsInit,
     setProblemCount,
   ]);
@@ -89,7 +89,7 @@ export default function PlayClient({ problemCount }: PlayClientProps) {
     submitAnswer({ a: parsedA, b: parsedB });
   }
 
-  if (sessionNeedsInit) {
+  if (!session || sessionNeedsInit) {
     return (
       <main className="flex min-h-screen items-center bg-slate-50 px-6 py-12 text-slate-950">
         <section className="mx-auto w-full max-w-3xl">
diff --git a/app/(game)/play/page.tsx b/app/(game)/play/page.tsx
index c1becd5..852ea12 100644
--- a/app/(game)/play/page.tsx
+++ b/app/(game)/play/page.tsx
@@ -3,11 +3,15 @@ import type { ProblemCount } from "@/store/gameStore";
 
 interface PlayPageProps {
   searchParams?: {
-    count?: string;
+    count?: string | string[];
   };
 }
 
-function parseProblemCount(count?: string): ProblemCount {
+function parseProblemCount(count?: string | string[]): ProblemCount {
+  if (Array.isArray(count)) {
+    return parseProblemCount(count[0]);
+  }
+
   return count === "5" ? 5 : 10;
 }
 
diff --git a/app/page.tsx b/app/page.tsx
index 836d737..48be922 100644
--- a/app/page.tsx
+++ b/app/page.tsx
@@ -6,7 +6,7 @@ export default function Home() {
       <section className="mx-auto flex w-full max-w-3xl flex-col gap-8">
         <div className="space-y-4">
           <p className="text-sm font-semibold text-emerald-700">
-            중학교 2학년 수학 실수 유형 연습
+            중학교 2학년 수학 - 괄호 풀기 연습
           </p>
           <h1 className="text-4xl font-bold tracking-normal sm:text-5xl">
             괄호 음수 분배 연습