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[{"content":"Are there five consecutive natural numbers such that if they are designated by the lett(...TRUNCATED)
3/8
math
{ "ground_truth": "No", "style": "rule" }
{ "index": 40, "split": "train" }
[8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
40
[{"content":"Given the function \\( f(x) = x^2 + x + \\sqrt{3} \\), if for all positive numbers \\( (...TRUNCATED)
4/8
math
{ "ground_truth": "\\frac{2}{3}", "style": "rule" }
{ "index": 110, "split": "train" }
[8160,579,264,7047,1817,310,11290,279,3377,25,271,16,13,220,2972,2014,53983,279,2574,709,321,30184,6(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
110
[{"content":"Fill the numbers $1, 2, \\cdots, 9$ into a $3 \\times 3$ grid such that each cell conta(...TRUNCATED)
1/8
math
{ "ground_truth": "42", "style": "rule" }
{ "index": 147, "split": "train" }
[8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
147
[{"content":"What is the largest possible number of subsets of the set \\(\\{1, 2, \\ldots, 2n + 1\\(...TRUNCATED)
4/8
math
{ "ground_truth": "(n+1)^2", "style": "rule" }
{ "index": 182, "split": "train" }
[8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,15771,2598,279,21397,64700,198,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
182
[{"content":"A jobber buys an article at $$24$ less $12\\frac{1}{2}\\%$. He then wishes to sell the (...TRUNCATED)
1/8
math
{ "ground_truth": "\\textbf{(E)}\\", "style": "rule" }
{ "index": 199, "split": "train" }
[760,1156,6587,728,310,11290,264,3299,3377,883,2478,36352,11,11352,15394,2695,3240,11,10910,3240,11,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
199
[{"content":"In triangle \\(ABC\\), it is given that \\(|AB| = |BC|\\) and \\(\\angle ABC = 20^\\cir(...TRUNCATED)
1/8
math
{ "ground_truth": "30", "style": "rule" }
{ "index": 292, "split": "train" }
[8160,579,264,7047,1817,310,11290,279,16547,3377,25,271,16,13,220,2972,15771,2598,279,38622,64700,56(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
292
[{"content":"Let \\( P \\in \\mathbb{R}[X] \\) be a non-zero polynomial such that \\( P \\mid P(X^2 (...TRUNCATED)
1/8
math
{ "ground_truth": "TheofPiseven.", "style": "rule" }
{ "index": 332, "split": "train" }
[8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
332
[{"content":"Use the five digits $0$, $1$, $2$, $3$, $4$ to form integers that satisfy the following(...TRUNCATED)
7/8
math
{ "ground_truth": "66", "style": "rule" }
{ "index": 381, "split": "train" }
[8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,5952,64700,198,2(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
381
[{"content":"In a plane, two rectangular coordinate systems \\( O x y \\) and \\( O' x' y' \\) are c(...TRUNCATED)
4/8
math
{ "ground_truth": "Yes", "style": "rule" }
{ "index": 385, "split": "train" }
[8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,21085,6470(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
385
[{"content":"27 people went to a mall to buy water to drink. There was a promotion in the mall where(...TRUNCATED)
7/8
math
{ "ground_truth": "18", "style": "rule" }
{ "index": 429, "split": "train" }
[8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
429
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