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deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "A factory assigns five newly recruited employees, including A and B, to three different workshops. Each workshop must be assigned at least one employee, and A and B must be assig...
math
{ "ground_truth": "36", "style": "rule" }
{ "cluster_id": 5, "difficulty": 46.09375, "index": 9903, "split": "train" }
36
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "There are 4 willow trees and 4 poplar trees planted in a row. How many ways can they be planted alternately?\nPlease reason step by step, and put your final answer within \\boxed...
math
{ "ground_truth": "1152", "style": "rule" }
{ "cluster_id": 5, "difficulty": 76.5625, "index": 5104, "split": "train" }
1152
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Seven frogs are sitting in a row. They come in four colors: two green, two red, two yellow, and one blue. Green frogs refuse to sit next to red frogs, and yellow frogs refuse to ...
math
{ "ground_truth": "16", "style": "rule" }
{ "cluster_id": 5, "difficulty": 98.4375, "index": 624, "split": "train" }
16
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "A paperboy delivers newspapers to 11 houses along Main Street. He may skip delivering to any house, but he must not skip three consecutive houses to avoid losing his job. Determi...
math
{ "ground_truth": "927", "style": "rule" }
{ "cluster_id": 5, "difficulty": 26.5625, "index": 13738, "split": "train" }
927
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "How many distinct arrangements of the letters in the word \"balloon\" are there?\nPlease reason step by step, and put your final answer within \\boxed{}.", "role": "user" }...
math
{ "ground_truth": "1260", "style": "rule" }
{ "cluster_id": 5, "difficulty": 53.125, "index": 7599, "split": "train" }
1260
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "I have 6 shirts, 6 pairs of pants, and 6 hats. Each item comes in the same 6 colors (so that I have one of each item of each color). I refuse to wear an outfit in which all 3 i...
math
{ "ground_truth": "210", "style": "rule" }
{ "cluster_id": 5, "difficulty": 12.5, "index": 14387, "split": "train" }
210
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Alice refuses to sit next to either Bob or Carla. Derek refuses to sit next to Eric. How many ways are there for the five of them to sit in a row of $5$ chairs under these condit...
math
{ "ground_truth": "28", "style": "rule" }
{ "cluster_id": 5, "difficulty": 21.09375, "index": 13002, "split": "train" }
28
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Given that a certain product requires $6$ processing steps, where $2$ of these steps must be consecutive and another $2$ steps cannot be consecutive, calculate the number of poss...
math
{ "ground_truth": "144", "style": "rule" }
{ "cluster_id": 5, "difficulty": 52.34375, "index": 7659, "split": "train" }
144
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "Joe has written 5 questions of different difficulties for a test with problems numbered 1 though 5. He wants to make sure that problem $i$ is harder than problem $j$ whenever $i-...
math
{ "ground_truth": "25", "style": "rule" }
{ "cluster_id": 5, "difficulty": 64.0625, "index": 6588, "split": "train" }
25
deepscaler
[ { "content": "Please reason step by step, and put your final answer within \\boxed{}.", "role": "system" }, { "content": "How many ways are there to put 7 balls in 2 boxes if the balls are distinguishable but the boxes are not?\nPlease reason step by step, and put your final answer within \\boxed{}....
math
{ "ground_truth": "64", "style": "rule" }
{ "cluster_id": 5, "difficulty": 26.5625, "index": 13214, "split": "train" }
64
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