data_source
stringclasses 2
values | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict | level
stringclasses 2
values | problem_id
stringclasses 2
values |
|---|---|---|---|---|---|---|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
with-guidance
|
[
{
"content": "You are given a problem and a partial solution.\n\nYour task is to infer what reasoning has already been completed and continue solving the problem **without repeating, paraphrasing, or referencing any part of the partial response**. \nYou must NOT restate earlier steps, summarize them, or quote them in any form. \nBegin directly from the next logical step that has not yet been completed.\n\n**Important**: Use the information from the partial response silently — do NOT copy, rephrase, or explicitly mention anything from it. Your continuation must be logically consistent with what has already been done. Show your reasoning step-by-step (only the new reasoning steps you add), and present the final answer using LaTeX-style `\\boxed{{}}` notation.\n\nProblem:\nWhich letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?\n\nPartial Response:\nHere is a step-by-step solution to the puzzle:\n\n**Step 1: Understand the rules of the grid.**\nThe grid is a 5x5 square. The letters used are A, B, C, D, and E. The main rule is that each of these five letters must appear exactly once in every row and every column. This is a classic Latin Square puzzle.\n\n**Step 2: Locate the square marked with `*`.**\nThe square marked with `*` is in the third row and the fifth column.\n\nContinue solving the problem from the *next new step*, without restating or referring to anything that appears above. Make sure your final answer is written as: \\boxed{{your_answer_here}}\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "with-guidance"
}
|
easy-with-guidance
|
easy-67-with-guidance
|
without-guidance
|
[
{
"content": "Which letter will go in the square marked with $*$ in the grid where each of the letters A, B, C, D, and E appears exactly once in each row and column?",
"role": "user"
}
] |
math
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"index": 105,
"split": "without-guidance"
}
|
easy-without-guidance
|
easy-67-without-guidance
|
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