From db293f3606a97b3e417de27124858e134005acbd Mon Sep 17 00:00:00 2001
From: Anonymous Authors <anonymous@invalid.example>
Date: Fri, 24 Jul 2026 13:24:36 -0500
Subject: Add minimal GAP reproduction package

---
 examples/sample_data/1998-B-1.json | 12 ++++++++++++
 1 file changed, 12 insertions(+)
 create mode 100644 examples/sample_data/1998-B-1.json

(limited to 'examples/sample_data')

diff --git a/examples/sample_data/1998-B-1.json b/examples/sample_data/1998-B-1.json
new file mode 100644
index 0000000..4e9aa4b
--- /dev/null
+++ b/examples/sample_data/1998-B-1.json
@@ -0,0 +1,12 @@
+{
+  "index": "1998-B-1",
+  "question": "Find the minimum value of\n\\[\n\\frac{(x+1/x)^6-(x^6+1/x^6)-2}{(x+1/x)^3+(x^3+1/x^3)}\n\\]\nfor $x>0$.",
+  "solution": "Notice that\n\\[\n\\frac{(x+1/x)^6-(x^6+1/x^6)-2}{(x+1/x)^3+(x^3+1/x^3)}\n=(x+1/x)^3-(x^3+1/x^3)=3(x+1/x).\n\\]\nThe last expression has minimum value $6$ by AM-GM, achieved at $x=1$.",
+  "vars": [
+    "x"
+  ],
+  "params": [],
+  "sci_consts": [],
+  "problem_type": "calculation",
+  "variants": {}
+}
-- 
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