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deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Suppose that $\\frac{2}{3}$ of $10$ bananas are worth as much as $8$ oranges. How many oranges are worth as much as $\\frac{1}{2}$ of $5$ bananas?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "cluster_id": 3, "difficulty": 23.4375, "index": 13156, "split": "train" }
3
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "A store owner bought $1500$ pencils at $\\$ 0.10$ each. If he sells them for $\\$ 0.25$ each, how many of them must he sell to make a profit of exactly $\\$ 100.00$?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "1000", "style": "rule" }
{ "cluster_id": 3, "difficulty": 74.21875, "index": 4793, "split": "train" }
1000
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Given that socks cost $4 per pair and a T-shirt costs $5 more than a pair of socks, and each member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games, with a total cost of $2366, determine the number of members in the League.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "91", "style": "rule" }
{ "cluster_id": 3, "difficulty": 10.9375, "index": 15728, "split": "train" }
91
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "A team of fishermen planned to catch 1800 centners of fish within a certain timeframe. During one-third of this period, there was a storm, causing them to fall short of their daily target by 20 centners each day. However, on the remaining days, the team managed to catch 20 centners more than the daily norm and completed the planned goal one day ahead of schedule. How many centners of fish were they planning to catch daily?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "100", "style": "rule" }
{ "cluster_id": 3, "difficulty": 79.6875, "index": 3934, "split": "train" }
100
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Alice buys three burgers and two sodas for $\\$3.20$, and Bill buys two burgers and a soda for $\\$2.00$. How many cents does a burger cost?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "80", "style": "rule" }
{ "cluster_id": 3, "difficulty": 18.75, "index": 15838, "split": "train" }
80
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "A tree has 10 pounds of apples at dawn. Every afternoon, a bird comes and eats x pounds of apples. Overnight, the amount of food on the tree increases by 10%. What is the maximum value of x such that the bird can sustain itself indefinitely on the tree without the tree running out of food?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "10/11", "style": "rule" }
{ "cluster_id": 3, "difficulty": 72.65625, "index": 4393, "split": "train" }
10/11
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Eleven percent of what number is seventy-seven?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "700", "style": "rule" }
{ "cluster_id": 3, "difficulty": 0, "index": 17272, "split": "train" }
700
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "In order to obtain steel for a specific purpose, the golden section method was used to determine the optimal addition amount of a specific chemical element. After several experiments, a good point on the optimal range $[1000, m]$ is in the ratio of 1618, find $m$.\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "2000", "style": "rule" }
{ "cluster_id": 3, "difficulty": 98.4375, "index": 819, "split": "train" }
2000
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Each day Walter gets $3$ dollars for doing his chores or $5$ dollars for doing them exceptionally well. After $10$ days of doing his chores daily, Walter has received a total of $36$ dollars. On how many days did Walter do them exceptionally well?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "3", "style": "rule" }
{ "cluster_id": 3, "difficulty": 9.375, "index": 17140, "split": "train" }
3
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Bill can buy jags, jigs and jogs for $\\$1$, $\\$2$ and $\\$7$ each, respectively. What is the largest number of jogs he can purchase if he must buy at least one of each item and will spend exactly $\\$50$?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" } ]
math
{ "ground_truth": "6", "style": "rule" }
{ "cluster_id": 3, "difficulty": 11.71875, "index": 15114, "split": "train" }
6
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