Update metadata with huggingface_hub

README.md

@@ -1,7 +1,43 @@
-
 ---
-quantized_by: bartowski
+base_model: AI-MO/NuminaMath-7B-TIR
+license: apache-2.0
 pipeline_tag: text-generation
+tags:
+- alignment-handbook
+- generated_from_trainer
+quantized_by: bartowski
+widget:
+- example_title: Math problem
+  messages:
+  - role: user
+    content: For how many values of the constant $k$ will the polynomial $x^{2}+kx+36$
+      have two distinct integer roots?
+  output:
+    text: '### Solution: 1. For the polynomial \\( x^2 + kx + 36 \\) to have two distinct
+      integer roots, let''s denote these roots by \\( r_1 \\) and \\( r_2 \\).\n\n2.
+      According to Vieta''s formulas, the sum of the roots \\( r_1 + r_2 \\) is equal
+      to \\(-k\\), and the product of the roots \\( r_1 \\cdot r_2 \\) is equal to
+      36.\n\n3. To find the distinct integer pairs \\((r_1, r_2)\\) whose product
+      is 36, we need to determine all pairs of integers \\((r_1, r_2)\\) such that
+      \\( r_1 \\cdot r_2 = 36 \\) and \\( r_1 \\neq r_2 \\).\n\n4. From the equation
+      \\( r_1 + r_2 = -k \\), for each valid pair \\((r_1, r_2)\\), we can compute
+      the corresponding value of \\( k \\).\n\n5. Finally, since we need the polynomial
+      to have two distinct integer roots, we need to ensure that \\( r_1 \\) and \\(
+      r_2 \\) are distinct.\n\nLet''s start by finding all pairs \\((r_1, r_2)\\)
+      such that \\( r_1 \\cdot r_2 = 36 \\). We''ll then determine the values of \\(
+      k \\) and ensure the roots are distinct.\n```python\nimport itertools\n\n# Find
+      all pairs (r1, r2) such that r1 * r2 = 36\nproduct_36 = 36\nfactor_pairs = []\n\nfor
+      i in range(1, product_36 + 1):\n if product_36 % i == 0:\n pair = (i, product_36
+      // i)\n if pair[0] != pair[1]: # Ensure distinct pairs\n factor_pairs.append(pair)\n\n#
+      Calculate k for each pair and ensure distinct integer roots\nvalid_k_values
+      = set()\nfor r1, r2 in factor_pairs:\n if r1 != r2:\n k = -(r1 + r2)\n valid_k_values.add(k)\n\nprint((len(valid_k_values),
+      sorted(valid_k_values)))\n```\n```output\n(4, [-37, -20, -15, -13])\n```\nThe
+      distinct integer values of \\( k \\) that make the polynomial \\( x^2 + kx +
+      36 \\) have two distinct integer roots are \\(-37, -20, -15, \\text{and} -13\\).\n\nTherefore,
+      the number of such values of \\( k \\) is:\n\n\\[\n\\boxed{4}\n\\]\n'
+model-index:
+- name: NuminaMath-7B-TIR
+  results: []
 ---
 
 ## Llamacpp imatrix Quantizations of NuminaMath-7B-TIR