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deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "(In the preliminaries of optimal method and experimental design) When using the 0.618 method to find the optimal amount to add in an experiment, if the current range of excellence is $[628, 774]$ and the good point is 718, then the value of the addition point for the current experiment is ________.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "684", "style": "rule" }
{ "cluster_id": 0, "difficulty": 58.59375, "index": 8826, "split": "train" }
684
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Calculate the probability that in a deck of 52 cards, the second card has a different suit than the first, and the third card has a different suit than the first and second.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "\\frac{169}{425}", "style": "rule" }
{ "cluster_id": 0, "difficulty": 65.625, "index": 6584, "split": "train" }
\frac{169}{425}
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Xiao Kang exercises every day by doing several sets of push-ups, 8 per set, and several sets of pull-ups, 5 per set. On the first day, he did a total of 41 reps (combining both exercises), and he increases the number by 1 each day until the 100th day. If the number of sets of push-ups and pull-ups he does each day are both positive integers, then over these 100 days, Xiao Kang did at least $\\boxed{100}$ sets of push-ups and at least $\\boxed{106}$ sets of pull-ups.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "106", "style": "rule" }
{ "cluster_id": 0, "difficulty": 13.28125, "index": 15867, "split": "train" }
106
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Find the value of the arithmetic series $1-3+5-7+9-11+\\cdots +2021-2023+2025$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "1013", "style": "rule" }
{ "cluster_id": 0, "difficulty": 43.75, "index": 9306, "split": "train" }
1013
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Kiana has two older twin brothers. The product of their three ages is 128. What is the sum of their three ages?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "18", "style": "rule" }
{ "cluster_id": 0, "difficulty": 67.1875, "index": 5426, "split": "train" }
18
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "A steak initially at a temperature of 5°C is put into an oven. After 15 minutes, its temperature reaches 45°C. After another 15 minutes, its temperature is 77°C. The oven maintains a constant temperature. The steak changes temperature at a rate proportional to the difference between its temperature and that of the oven. Find the oven temperature.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "205", "style": "rule" }
{ "cluster_id": 0, "difficulty": 88.28125, "index": 3091, "split": "train" }
205
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "There are 6 locked suitcases and 6 keys for them. However, it is unknown which key opens which suitcase. What is the minimum number of attempts needed to ensure that all suitcases are opened? How many attempts are needed if there are 10 suitcases and 10 keys?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "45", "style": "rule" }
{ "cluster_id": 0, "difficulty": 64.84375, "index": 6651, "split": "train" }
45
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Serezha and Misha, while walking in the park, came across a meadow surrounded by linden trees. Serezha walked around the meadow, counting the trees. Misha did the same but started from a different tree (although he walked in the same direction). The tree that was 20th for Serezha was 7th for Misha, and the tree that was 7th for Serezha was 94th for Misha. How many trees are there around the meadow?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "100", "style": "rule" }
{ "cluster_id": 0, "difficulty": 37.5, "index": 11071, "split": "train" }
100
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Xiao Hua plays a certain game where each round can be played several times freely. Each score in a round is one of the numbers $8$, $a$ (a natural number), or $0$. The total score for a round is the sum of all individual scores in that round. Xiao Hua has achieved the following total scores in some rounds: $103, 104, 105, 106, 107, 108, 109, 110$. It is also known that he cannot achieve a total score of $83$. What is the value of $a$?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "13", "style": "rule" }
{ "cluster_id": 0, "difficulty": 32.8125, "index": 12010, "split": "train" }
13
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "What is the minimum number of children required in a school to be sure that at least 3 of them have their birthday on the same day? (Keep in mind that some people are born on February 29.)\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "733", "style": "rule" }
{ "cluster_id": 0, "difficulty": 81.25, "index": 2897, "split": "train" }
733
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