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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, an...
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 rea...
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 a...
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 dai...
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 ...
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 maxi...
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 experim...
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 ...
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...
math
{ "ground_truth": "6", "style": "rule" }
{ "cluster_id": 3, "difficulty": 11.71875, "index": 15114, "split": "train" }
6
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