Add minimal GAP reproduction package

1 files changed, 12 insertions, 0 deletions

diff --git a/examples/sample_data/1998-B-1.json b/examples/sample_data/1998-B-1.json
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+++ b/examples/sample_data/1998-B-1.json
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+{
+  "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": {}
+}