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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":"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" }
[8160,579,264,7047,1817,310,16821,506,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,21085,6470(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
199
[{"content":"A repunit is a positive integer, all of whose digits are 1s. Let $a_{1}<a_{2}<a_{3}<\\l(...TRUNCATED)
2/8
math
{ "ground_truth": "1223456", "style": "rule" }
{ "index": 212, "split": "train" }
[8160,579,264,7047,1817,310,11290,279,3377,25,271,16,13,220,2972,15771,2598,279,21397,64700,198,262,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
212
[{"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" }
[8160,579,264,7047,1817,310,16821,506,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,21085,6470(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
385
[{"content":"Find the smallest positive integer $k$ for which there exists a colouring of the posi(...TRUNCATED)
1/8
math
{ "ground_truth": "3", "style": "rule" }
{ "index": 410, "split": "train" }
[760,3377,16561,364,279,23856,6572,7308,393,74,3,1680,421,1017,6513,264,12106,286,393,66,25,1088,100(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
410
[{"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
[{"content":"The real numbers \\( x_1, x_2, x_3, x_4 \\) are such that\n\n\\[\n\\begin{cases}\nx_1 +(...TRUNCATED)
6/8
math
{ "ground_truth": "37", "style": "rule" }
{ "index": 430, "split": "train" }
[8160,579,264,7047,1817,310,11290,279,3377,25,271,16,13,220,2972,15771,2598,279,38622,64700,561,1605(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
430
[{"content":"In the sum \\(1+3+9+27+81+243+729 \\), one can strike out any terms and change some sig(...TRUNCATED)
7/8
math
{ "ground_truth": "1093", "style": "rule" }
{ "index": 454, "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 ]
454
[{"content":"Let \\(a_{1}, a_{2}, \\cdots, a_{10}\\) be a random permutation of \\(1, 2, \\cdots, 10(...TRUNCATED)
2/8
math
{ "ground_truth": "\\frac{7}{90}", "style": "rule" }
{ "index": 462, "split": "train" }
[8160,579,264,7047,1817,310,11290,279,3377,25,271,16,13,220,2972,15771,2598,279,21397,64700,198,262,(...TRUNCATED)
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
462
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