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{ "answer": "55158120", "problem": "What is the solution to the long multiplication equation below?\n\n6068 x 9090\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6068 x 9090\n\nThink step by step.", "solution": "55158120" }
55158120
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6068 x 9090\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication problem \\(6068 \\times 9090\\) step by step, we can break it down as follows:\n\n1. **Break down the multiplication**: We can use the distributive property to simplify the multiplication. Notice that \\(9090 = 9000 + 90\\). So, we can rewrite the equation as:\n \\[\n 6068 \\t...
[ "To solve the multiplication problem \\(6068 \\times 9090\\) step by step, we can break it down as follows:\n\n1. **Break down the multiplication**: We can use the distributive property to simplify the multiplication. Notice that \\(9090 = 9000 + 90\\). So, we can rewrite the equation as:\n \\[\n 6068 \\times 9...
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[ "55158120" ]
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6068 x 9090 Think step by step. ## Here is the solution 55158120 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1002, "explanation": "The model cross-checks its previous calculation of \\(6068 \\times 9\\) to confirm its value before proceeding with the next multiplication.", "idx": 0, "span": "We already know \\(6068 \\times 9 = 54612\\), so:", "start_idx": 956 }, { "end_idx": null, ...
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{ "answer": "14414517", "problem": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.", "solution": "14414517" }
14414517
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication problem \\(2197 \\times 6561\\) step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n ```\n 2197\n × 6561\n ```\n\n2. **Multiply the top number by each digit of the bottom number, starting from the ...
[ "To solve the multiplication problem \\(2197 \\times 6561\\) step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n ```\n 2197\n × 6561\n ```\n\n2. **Multiply the top number by each digit of the bottom number, starting from the rightm...
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6e0d197287f12c0e46ade106566a2bba77bf87e4f740924c47933c17ec8b304e
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[ "To solve the multiplication problem \\(2197 \\times 6561\\) step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n ```\n 2197\n × 6561\n ```\n\n2. **Multiply the top number by each digit of the bottom number, starting from the rightm...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2197 x 6561 Think step by step. ## Here is the solution 14414517 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 313, "explanation": "The model sets a sub-goal to multiply the top number by each digit of the bottom number systematically.", "idx": 0, "span": "Multiply the top number by each digit of the bottom number, starting from the rightmost digit:", "start_idx": 219 }, { "end_idx":...
0
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{ "answer": "30500504", "problem": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "solution": "30500504" }
30500504
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 5468 by 5578 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5468\n x 5578\n --------\n```\n\n2. **Multiply 5468 by each digit of 5578, starting from the ri...
[ "To solve the multiplication of 5468 by 5578 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5468\n x 5578\n --------\n```\n\n2. **Multiply 5468 by each digit of 5578, starting from the rightmos...
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[ "To solve the multiplication of 5468 by 5578 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5468\n x 5578\n --------\n```\n\n2. **Multiply 5468 by each digit of 5578, starting from the rightmos...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5468 x 5578 Think step by step. ## Here is the solution 30500504 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 128, "explanation": "This statement indicates the setting of a sub-goal to simplify the problem.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "This indicates a sub-goal of multiplying...
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{ "answer": "57916314", "problem": "What is the solution to the long multiplication equation below?\n\n8054 x 7191\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8054 x 7191\n\nThink step by step.", "solution": "57916314" }
57916314
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8054 x 7191\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 8054 by 7191 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8054\n x 7191\n ________\n```\n\n2. **Multiply 8054 by each digit of 7191, starting from the ri...
[ "To solve the multiplication of 8054 by 7191 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8054\n x 7191\n ________\n```\n\n2. **Multiply 8054 by each digit of 7191, starting from the rightmos...
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[ "To solve the multiplication of 8054 by 7191 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8054\n x 7191\n ________\n```\n\n2. **Multiply 8054 by each digit of 7191, starting from the rightmos...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8054 x 7191 Think step by step. ## Here is the solution 57916314 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 128, "explanation": "This indicates the intent to create sub-goals by suggesting the problem will be broken into smaller parts.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "This sets...
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{ "answer": "47253360", "problem": "What is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.", "solution": "47253360" }
47253360
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 7671 by 6160 step by step, we can break it down as follows:\n\n1. **Break down the multiplication**: We can use the distributive property to break down the multiplication into more manageable parts. The number 6160 can be expressed as \\(6000 + 160\\). Therefore, the multiplica...
[ "To solve the multiplication of 7671 by 6160 step by step, we can break it down as follows:\n\n1. **Break down the multiplication**: We can use the distributive property to break down the multiplication into more manageable parts. The number 6160 can be expressed as \\(6000 + 160\\). Therefore, the multiplication c...
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28a6948f665cf4cb51be18ad83e7a365f7cae783a8155ab0c936ece071e6bd30
1
[ "47253360" ]
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7671 x 6160 Think step by step. ## Here is the solution 47253360 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 90, "explanation": "This shows the initial step where the model sets the sub-goal of breaking down the problem for easier handling.", "idx": 0, "span": "we can break it down as follows:", "start_idx": 58 }, { "end_idx": 227, "explanation": "Here, the model indicates the ...
0
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{ "answer": "77933040", "problem": "What is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.", "solution": "77933040" }
77933040
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 9385 by 8304 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9385\n x 8304\n ________\n```\n\n2. **Multiply 9385 by each digit of 8304, starting from the ri...
[ "To solve the multiplication of 9385 by 8304 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9385\n x 8304\n ________\n```\n\n2. **Multiply 9385 by each digit of 8304, starting from the rightmos...
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8a79ab6e97d0c43149ffe3239ca72c3d86c7e39f3cd6eead049a0be84d641abf
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[ "To solve the multiplication of 9385 by 8304 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9385\n x 8304\n ________\n```\n\n2. **Multiply 9385 by each digit of 8304, starting from the rightmos...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9385 x 8304 Think step by step. ## Here is the solution 77933040 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 128, "explanation": "This snippet indicates the model's intent to create sub-goals by breaking the problem into smaller steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "This state...
0
5
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{ "answer": "8198197", "problem": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.", "solution": "8198197" }
8198197
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 1169 by 7013 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1169\n x 7013\n ________\n```\n\n2. **Multiply 1169 by each digit of 7013, starting from the rightmost digit:**\n\n - **Multiply by 3...
[ "To solve the multiplication of 1169 by 7013 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1169\n x 7013\n ________\n```\n\n2. **Multiply 1169 by each digit of 7013, starting from the rightmost digit:**\n\n - **Multiply by 3 (the ...
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[ "To solve the multiplication of 1169 by 7013 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1169\n x 7013\n ________\n```\n\n2. **Multiply 1169 by each digit of 7013, starting from the rightmost digit:**\n\n - **Multiply by 3 (the ...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 1169 x 7013 Think step by step. ## Here is the solution 8198197 ## Here are the current task instructions Cou...
subgoals
[ { "end_idx": 114, "explanation": "This indicates the intention to divide the problem into smaller, manageable steps.", "idx": 0, "span": "we can break it down into steps as follows:", "start_idx": 71 }, { "end_idx": 273, "explanation": "This sets a specific sub-goal of multiplying th...
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{ "answer": "7006496", "problem": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.", "solution": "7006496" }
7006496
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication problem \\(4036 \\times 1736\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4036\n × 1736\n ```\n\n2. **Multiply the top number by each digit of the b...
[ "To solve the multiplication problem \\(4036 \\times 1736\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4036\n × 1736\n ```\n\n2. **Multiply the top number by each digit of the bottom ...
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[ "To solve the multiplication problem \\(4036 \\times 1736\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4036\n × 1736\n ```\n\n2. **Multiply the top number by each digit of the bottom ...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4036 x 1736 Think step by step. ## Here is the solution 7006496 ## Here are the current task instructions Cou...
subgoals
[ { "end_idx": 141, "explanation": "This statement indicates that the model is setting a sub-goal to simplify the problem.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 345, "explanation": "Here, the model specifies a s...
0
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{ "answer": "17088288", "problem": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.", "solution": "17088288" }
17088288
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 3017 by 5664 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 3017\n x 5664\n ________\n```\n\n2. **Multiply 3017 by each digit of 5664, starting from the ri...
[ "To solve the multiplication of 3017 by 5664 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 3017\n x 5664\n ________\n```\n\n2. **Multiply 3017 by each digit of 5664, starting from the rightmos...
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[ "To solve the multiplication of 3017 by 5664 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 3017\n x 5664\n ________\n```\n\n2. **Multiply 3017 by each digit of 5664, starting from the rightmos...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3017 x 5664 Think step by step. ## Here is the solution 17088288 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 128, "explanation": "This indicates the intention to create a plan with intermediate goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 363, "explanation": "This sets a sub-goal to multiply by a specifi...
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{ "answer": "30116926", "problem": "What is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.", "solution": "30116926" }
30116926
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 8258 by 3647 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8258\n x 3647\n ________\n```\n\n2. **Multiply 8258 by each digit of 3647, starting from the ri...
[ "To solve the multiplication of 8258 by 3647 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8258\n x 3647\n ________\n```\n\n2. **Multiply 8258 by each digit of 3647, starting from the rightmos...
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[ "To solve the multiplication of 8258 by 3647 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8258\n x 3647\n ________\n```\n\n2. **Multiply 8258 by each digit of 3647, starting from the rightmos...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8258 x 3647 Think step by step. ## Here is the solution 30116926 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 128, "explanation": "The model sets a sub-goal to break down the multiplication into manageable steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "The model creates a sub-goal of mu...
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7
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{ "answer": "50145936", "problem": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.", "solution": "50145936" }
50145936
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication of 8628 by 5812 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8628\n x 5812\n --------\n```\n\n2. **Multiply 8628 by each digit of 5812, starting from the ri...
[ "To solve the multiplication of 8628 by 5812 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8628\n x 5812\n --------\n```\n\n2. **Multiply 8628 by each digit of 5812, starting from the rightmos...
06680cf836c53900971cfe5dfd9475ebbc2d7840ba3acefa9bc8b102d557d262
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1e2e41162ceb6b3902e7abafb2aacd5b855ff27196f45186486cb8f347bb635c
0
[ "To solve the multiplication of 8628 by 5812 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8628\n x 5812\n --------\n```\n\n2. **Multiply 8628 by each digit of 5812, starting from the rightmos...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8628 x 5812 Think step by step. ## Here is the solution 50145936 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 128, "explanation": "This indicates the intention to create sub-goals by breaking down the multiplication process.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "This sets a sub-goal o...
0
6
42
{ "answer": "17540394", "problem": "What is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.", "solution": "17540394" }
17540394
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the multiplication problem \\(5466 \\times 3209\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 5466\n × 3209\n ```\n\n2. **Multiply 5466 by each digit of 3209, starting ...
[ "To solve the multiplication problem \\(5466 \\times 3209\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 5466\n × 3209\n ```\n\n2. **Multiply 5466 by each digit of 3209, starting from t...
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b8364f436351fb35d56fa69fd2cefe4bbae4613022c67abc8293c54438a8d078
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0
[ "To solve the multiplication problem \\(5466 \\times 3209\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 5466\n × 3209\n ```\n\n2. **Multiply 5466 by each digit of 3209, starting from t...
TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5466 x 3209 Think step by step. ## Here is the solution 17540394 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 141, "explanation": "This indicates the intention to divide the problem into sub-goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 322, "explanation": "This sets a sub-goal to multiply by digits of 320...
0
5
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{ "answer": "25006175", "problem": "What is the solution to the long multiplication equation below?\n\n6371 x 3925\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6371 x 3925\n\nThink step by step.", "solution": "25006175" }
25006175
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6371 x 3925\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(6371 \\times 3925\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the pa...
[ "To solve the long multiplication equation \\(6371 \\times 3925\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the partial ...
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0
[ "24,\\!906,\\!075" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6371 x 3925 Think step by step. ## Here is the solution 25006175 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1391, "explanation": "This indicates the model is taking the step to verify its previous calculations.", "idx": 0, "span": "### Verification (Optional):", "start_idx": 1363 }, { "end_idx": 1458, "explanation": "The phrase 'let's verify' shows that the model is verifying ...
0
4
35
{ "answer": "13003956", "problem": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.", "solution": "13003956" }
13003956
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5562 \\times 2338\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the pa...
[ "To solve the long multiplication equation \\(5562 \\times 2338\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the partial ...
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34f99b301f34f5bc6b80d1b7f90d2f431516cc3246c47360e479020cee4edc35
6a7da9c68366029fa97d213da6a2091c3aca782e895270dc623b06292598a00f
0
[ "12,\\!994,\\!956" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5562 x 2338 Think step by step. ## Here is the solution 13003956 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": null, "explanation": "The model explicitly states the intention to break down the multiplication into smaller steps.", "idx": 0, "span": "To solve the long multiplication equation 5562 × 2338, we'll break it down step by step using the distributive property of multiplication over additi...
0
8
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{ "answer": "14041975", "problem": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.", "solution": "14041975" }
14041975
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2225 \\times 6311 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the ...
[ "To solve the long multiplication equation \\( 2225 \\times 6311 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the partia...
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e3f88490daba280d420ae84d21d421f83acd7dbdd4d62d6e0be5ddd2bc8696c8
1
[ "14041975" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2225 x 6311 Think step by step. ## Here is the solution 14041975 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 167, "explanation": "This snippet indicates that the model will break down the multiplication process into smaller steps, thus setting a sub-goal for clarity.", "idx": 0, "span": "We'll break it down step by step using the **distributive property of multiplication over addition**.", ...
0
7
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{ "answer": "60429072", "problem": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.", "solution": "60429072" }
60429072
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 9264 \\times 6523 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9264 \\) by each digit of \\( 6523 \\), starting from the rightmost digit, and then sum the partial results....
[ "To solve the long multiplication equation \\( 9264 \\times 6523 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9264 \\) by each digit of \\( 6523 \\), starting from the rightmost digit, and then sum the partial results.\n\n##...
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3bef97aec73d02be0a094b71d548bc90d8dae67dd9c55ff0d61f59459bd74553
8013e3638abd91ca60da26f7230d3ae9d21f58148853d8689c73a8d5bb98569b
1
[ "60429072" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9264 x 6523 Think step by step. ## Here is the solution 60429072 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 167, "explanation": "This indicates the intention to divide the problem into manageable steps, setting a sub-goal of breaking down the multiplication.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**.", "start_...
0
8
86
{ "answer": "12608099", "problem": "What is the solution to the long multiplication equation below?\n\n1747 x 7217\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1747 x 7217\n\nThink step by step.", "solution": "12608099" }
12608099
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1747 x 7217\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(1747 \\times 7217\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(1747 \\times 7217\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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c7d05c9830d69ce9114183a137dbcd52e1bcf8583659f23c03300bc874c1b521
1
[ "12608099" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 1747 x 7217 Think step by step. ## Here is the solution 12608099 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1324, "explanation": "The header indicates that the model is taking a moment to check or confirm the previous calculations.", "idx": 0, "span": "### Verification", "start_idx": 1308 }, { "end_idx": 1430, "explanation": "This statement shows the model is actively attempti...
0
4
75
{ "answer": "22352715", "problem": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.", "solution": "22352715" }
22352715
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 3465 \\times 6451 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 3465 \\) by each digit of \\( 6451 \\), starting from the rightmost digit, and then sum the results, taking ...
[ "To solve the long multiplication equation \\( 3465 \\times 6451 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 3465 \\) by each digit of \\( 6451 \\), starting from the rightmost digit, and then sum the results, taking into a...
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75fb22c51ab1142da3fd5b44660a005234888b14907384b73bc0d5372c14f8d4
19eb9b6642aa9fe2cacf2d5d3796fc926c76b39cfbcbcc619460fed5a7523ffa
1
[ "22352715" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3465 x 6451 Think step by step. ## Here is the solution 22352715 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 167, "explanation": "The model indicates that it will divide the problem into manageable parts by using the distributive property as a strategy.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**.", "start_idx": ...
0
8
29
{ "answer": "19507773", "problem": "What is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.", "solution": "19507773" }
19507773
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 4371 \\times 4463 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 4371 \\times 4463 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
38d8fa86f6f26083a35fa1c84b9a409166fd169a33d058c7645b260e016fa8d4
8c01bb0307bf8dc00f4d37067e1f8337c8461f9f2fae5b8f653fcd045eb21a84
d396bf20f54f1b1946eda26ca05b203e7db6c374c0f09c969fa7cfb0ddf58647
1
[ "19507773" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4371 x 4463 Think step by step. ## Here is the solution 19507773 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1516, "explanation": "This snippet indicates that the model is repeating its calculations independently to validate its answer.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multiplication):", "start_idx": 1408 },...
0
3
64
{ "answer": "43862210", "problem": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.", "solution": "43862210" }
43862210
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 4930 \\times 8897 \\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\( 8897 \\) as \\( 9...
[ "To solve the long multiplication equation \\( 4930 \\times 8897 \\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\( 8897 \\) as \\( 9000 - ...
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774ef55700e2f98a5694c22033310a05dd41c4b3faee012cae98784a1cf9ac08
aeb73f2d31217126e241e197dbaa210f4a89e6eb946dc1d06f265a9f1b6d1350
1
[ "43862210" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4930 x 8897 Think step by step. ## Here is the solution 43862210 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 122, "explanation": "The model explicitly states it will break down the problem into smaller steps, setting a sub-goal of simplification.", "idx": 0, "span": "We can break it down into simpler, more manageable steps", "start_idx": 66 }, { "end_idx": null, "explanation": ...
0
6
89
{ "answer": "8122236", "problem": "What is the solution to the long multiplication equation below?\n\n4098 x 1982\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4098 x 1982\n\nThink step by step.", "solution": "8122236" }
8122236
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4098 x 1982\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(4098 \\times 1982\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th...
[ "To solve the long multiplication equation \\(4098 \\times 1982\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part...
2bda6e069b3b7dfaa5fb9903dd50e880fba91bf478b2931f1270ad0dc8d4c2e1
c7869162a3c6102a52b8d5d3e2aa9870ceec3a260b3a6abb17715c53d0394c7d
054b3571eb9d73a52c39b2f322ffcc6d5d52a0a7a2f494c7eb36b50d41bc2208
1
[ "8122236" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4098 x 1982 Think step by step. ## Here is the solution 8122236 ## Here are the current task instructions Cou...
subgoals
[ { "end_idx": 165, "explanation": "This indicates that the model intends to break down the problem into smaller parts using a specific mathematical property.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**.", "start_idx": 6...
0
6
53
{ "answer": "33041066", "problem": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "solution": "33041066" }
33041066
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(7039 \\times 4694\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(7039 \\times 4694\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
3c91ed3eb0a59a040cda0c065f937e99303d3135742aa0e0e22e496a02e82a6c
857ebaa120403a9bd2278102f222137bac5cc6cd03dac9084e0782b181acfd3d
1dba8f47a0364f3b46d3c7346e1b3d6705fb8bd49b00ff19b5c18ee30771e9da
1
[ "33041066" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7039 x 4694 Think step by step. ## Here is the solution 33041066 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1506, "explanation": "This is an explicit mention of verifying the calculation using another method, indicating self verification.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., the standard long multiplication algorithm):", "star...
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{ "answer": "33041066", "problem": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "solution": "33041066" }
33041066
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(7039 \\times 4694\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(7039 \\times 4694\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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1dba8f47a0364f3b46d3c7346e1b3d6705fb8bd49b00ff19b5c18ee30771e9da
1
[ "33041066" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7039 x 4694 Think step by step. ## Here is the solution 33041066 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1506, "explanation": "This statement indicates the model is trying a different method to verify its answer, showing backtracking from its initial computation to check for accuracy.", "idx": 0, "span": "To ensure accuracy, let's verify using another method (e.g., the standard long multip...
0
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{ "answer": "33041066", "problem": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "solution": "33041066" }
33041066
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(7039 \\times 4694\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(7039 \\times 4694\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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857ebaa120403a9bd2278102f222137bac5cc6cd03dac9084e0782b181acfd3d
1dba8f47a0364f3b46d3c7346e1b3d6705fb8bd49b00ff19b5c18ee30771e9da
1
[ "33041066" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7039 x 4694 Think step by step. ## Here is the solution 33041066 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 165, "explanation": "The model sets a sub-goal to break down the problem into manageable steps.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**.", "start_idx": 64 }, { "end_idx": 369, "explanation"...
0
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{ "answer": "31656604", "problem": "What is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.", "solution": "31656604" }
31656604
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(6503 \\times 4868\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(6503 \\times 4868\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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32f888cfeec8e8dbde8e50461a0c07c6b2e37d513f47da71817e0f41e482c637
1
[ "31656604" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6503 x 4868 Think step by step. ## Here is the solution 31656604 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1440, "explanation": "This indicates the model is taking a step to confirm the accuracy of its previous computations.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multiplication):", "start_idx": 1332 }, { "...
0
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{ "answer": "27920880", "problem": "What is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.", "solution": "27920880" }
27920880
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2983 \\times 9360 \\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller p...
[ "To solve the long multiplication equation \\( 2983 \\times 9360 \\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller parts. ...
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1524b58d71fd3c67a0c7fa073af5f0a366117855afc1af1e1a3a3f74fcf69775
1
[ "27920880" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2983 x 9360 Think step by step. ## Here is the solution 27920880 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1544, "explanation": "This indicates that the model is rechecking its previous calculations by using a different method to confirm the result.", "idx": 0, "span": "To ensure accuracy, let's verify the calculation using another method, such as **long multiplication**:", "start_idx": ...
0
3
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{ "answer": "36059446", "problem": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.", "solution": "36059446" }
36059446
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(7222 \\times 4993\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th...
[ "To solve the long multiplication equation \\(7222 \\times 4993\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part...
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48db18f274b8d04206205e1fbfb74aba904b40b01b0b5ebaa0d05ef456ec7804
1
[ "36059446" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7222 x 4993 Think step by step. ## Here is the solution 36059446 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": null, "explanation": "This indicates the intention to break down the problem into smaller sub-goals.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": null }, { "end_idx": 397, "explanati...
0
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{ "answer": "20024290", "problem": "What is the solution to the long multiplication equation below?\n\n7865 x 2546\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7865 x 2546\n\nThink step by step.", "solution": "20024290" }
20024290
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7865 x 2546\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 7865 \\times 2546 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 7865 \\) by each digit of \\( 2546 \\), accounting for place values, and then sum the results.\n\n### Step 1...
[ "To solve the long multiplication equation \\( 7865 \\times 2546 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 7865 \\) by each digit of \\( 2546 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea...
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222f094896bd55c0007d87b49f9eb2017ae308e1d8b66d6bbe335daa447b9c4f
1
[ "20024290" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7865 x 2546 Think step by step. ## Here is the solution 20024290 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 98, "explanation": "The model explicitly states that it will break the problem down into smaller components, indicating the use of sub-goals.", "idx": 0, "span": "we'll break it down step by step", "start_idx": 66 }, { "end_idx": null, "explanation": "The model sets the ...
0
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{ "answer": "34661674", "problem": "What is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.", "solution": "34661674" }
34661674
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 4366 \\times 7939 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 4366 \\times 7939 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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44b77d8f0ec2ca4140541a3648340fc3bef9d4dad405363f64fd93d907202ec5
1
[ "34661674" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4366 x 7939 Think step by step. ## Here is the solution 34661674 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1399, "explanation": "This indicates the start of a verification process being carried out by the model to confirm the accuracy of the solution.", "idx": 0, "span": "### Verification (Optional):", "start_idx": 1371 }, { "end_idx": 1468, "explanation": "This statement emp...
0
3
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{ "answer": "47262788", "problem": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.", "solution": "47262788" }
47262788
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 8012 \\times 5899 \\), we can break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the partial ...
[ "To solve the long multiplication equation \\( 8012 \\times 5899 \\), we can break it down using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the partial result...
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826362f36d586308dfe0409a105da0deb863df3a679364cc6ff3b6962830f81c
1
[ "47262788" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8012 x 5899 Think step by step. ## Here is the solution 47262788 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 155, "explanation": "This statement introduces the approach of breaking down the multiplication into smaller parts, indicating a strategy for solving the problem.", "idx": 0, "span": "We can break it down using the **distributive property of multiplication over addition**.", "start_...
0
6
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{ "answer": "44236416", "problem": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.", "solution": "44236416" }
44236416
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 4704 \\times 9404 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\( 9404 \\) as \\( 10,000 - 600 \\), which simplifies th...
[ "To solve the long multiplication equation \\( 4704 \\times 9404 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\( 9404 \\) as \\( 10,000 - 600 \\), which simplifies the mult...
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0
[ "44,\\!217,\\!600" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4704 x 9404 Think step by step. ## Here is the solution 44236416 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 667, "explanation": "The phrase indicates that the model is checking or confirming its previous calculations.", "idx": 0, "span": "#### Step 3: Verify the result", "start_idx": 637 }, { "end_idx": 1707, "explanation": "The model acknowledges potential error and decides t...
0
5
51
{ "answer": "29001510", "problem": "What is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.", "solution": "29001510" }
29001510
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 6990 \\times 4149 \\), we can break it down using the distributive property of multiplication over addition. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (4149)\nWe can express \\( 4149 \\) as \\( 4000 + 100 + 40 + 9 \\). This allows u...
[ "To solve the long multiplication equation \\( 6990 \\times 4149 \\), we can break it down using the distributive property of multiplication over addition. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (4149)\nWe can express \\( 4149 \\) as \\( 4000 + 100 + 40 + 9 \\). This allows us to m...
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e18f378a2d10eee7636f31d55d977237c790297de1cf14cf1467fcf385b6fb59
d787079ff7ee54366c2d20f1d3e4f3bf86cf06c3acb1f54392fc15a2447f3b48
1
[ "29001510" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6990 x 4149 Think step by step. ## Here is the solution 29001510 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1355, "explanation": "The model indicates a separate verification step, suggesting double checking its calculations.", "idx": 0, "span": "### Verification:", "start_idx": 1338 }, { "end_idx": 1832, "explanation": "This statement confirms that the earlier calculations wer...
0
3
46
{ "answer": "21809400", "problem": "What is the solution to the long multiplication equation below?\n\n3345 x 6520\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3345 x 6520\n\nThink step by step.", "solution": "21809400" }
21809400
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3345 x 6520\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 3345 \\times 6520 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller parts. Spec...
[ "To solve the long multiplication equation \\( 3345 \\times 6520 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller parts. Specifical...
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624940a7c23e528ab428c0e24812155f3a1abdc71aefe45959e3b495807093ac
cc64dde1d4ce5a46f25ce41f178defe29363a017bab32ddb20167da48970b6cc
1
[ "21809400" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3345 x 6520 Think step by step. ## Here is the solution 21809400 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 123, "explanation": "This indicates the creation of sub-goals by expressing the intention to simplify the problem.", "idx": 0, "span": "we can break it down into simpler, more manageable steps.", "start_idx": 66 }, { "end_idx": 298, "explanation": "Here, the model explic...
0
6
66
{ "answer": "3965060", "problem": "What is the solution to the long multiplication equation below?\n\n2959 x 1340\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2959 x 1340\n\nThink step by step.", "solution": "3965060" }
3965060
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2959 x 1340\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2959 \\times 1340 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nThe number \\( 1340 \\) can be expressed as \\( 1000 + 300 + 40 \\). This allows us to multiply \\( 2959...
[ "To solve the long multiplication equation \\( 2959 \\times 1340 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nThe number \\( 1340 \\) can be expressed as \\( 1000 + 300 + 40 \\). This allows us to multiply \\( 2959 \\) b...
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b06ba674928fef3a5aec17d8e09e50a8973c0f21446505e083325167602cf122
1
[ "3965060" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2959 x 1340 Think step by step. ## Here is the solution 3965060 ## Here are the current task instructions Count h...
verification
[ { "end_idx": 1680, "explanation": "This statement indicates that the model is rechecking its final answer against a previous calculation to ensure correctness.", "idx": 0, "span": "The result matches our earlier calculation, confirming that the answer is correct.", "start_idx": 1598 }, { ...
0
3
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{ "answer": "25554852", "problem": "What is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.", "solution": "25554852" }
25554852
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5172 \\times 4941\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(5172 \\times 4941\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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0
[ "25,\\!554,\\!652" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5172 x 4941 Think step by step. ## Here is the solution 25554852 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 165, "explanation": "This indicates the intention to break down the problem, creating an initial sub-goal of simplifying the multiplication.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**.", "start_idx": 64 ...
0
9
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{ "answer": "14712346", "problem": "What is the solution to the long multiplication equation below?\n\n6347 x 2318\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6347 x 2318\n\nThink step by step.", "solution": "14712346" }
14712346
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6347 x 2318\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(6347 \\times 2318\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\(6347\\) by each digit of \\(2318\\) (considering their place values) and then add the results together.\n\n### ...
[ "To solve the long multiplication equation \\(6347 \\times 2318\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\(6347\\) by each digit of \\(2318\\) (considering their place values) and then add the results together.\n\n### Step 1...
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9f7451f0f56fd5d27aff436097a244b85061fb03dbb8637f5d7a82298110ff5f
1
[ "14712346" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6347 x 2318 Think step by step. ## Here is the solution 14712346 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1283, "explanation": "This snippet indicates that the model is rechecking its previous work by using the traditional long multiplication method to confirm its earlier calculations.", "idx": 0, "span": "### Verification using the standard long multiplication method", "start_idx": 122...
0
3
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{ "answer": "23698528", "problem": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.", "solution": "23698528" }
23698528
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5264 \\times 4502\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the re...
[ "To solve the long multiplication equation \\(5264 \\times 4502\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the results....
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9acf84ffc74ac729ed3a04cb797425abad757abe309f5ea3cc994b6eb67415bf
1
[ "23698528" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5264 x 4502 Think step by step. ## Here is the solution 23698528 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1312, "explanation": "This is where the model indicates an intention to confirm its previous calculations by using another method.", "idx": 0, "span": "### Verification", "start_idx": 1296 }, { "end_idx": 1424, "explanation": "The model explicitly states that it is check...
0
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{ "answer": "23698528", "problem": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.", "solution": "23698528" }
23698528
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5264 \\times 4502\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the re...
[ "To solve the long multiplication equation \\(5264 \\times 4502\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the results....
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9acf84ffc74ac729ed3a04cb797425abad757abe309f5ea3cc994b6eb67415bf
1
[ "23698528" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5264 x 4502 Think step by step. ## Here is the solution 23698528 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 165, "explanation": "This sets the sub-goal to break the problem down step by step, indicating a plan to approach the solution methodically.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**.", "start_idx": 64 ...
0
6
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{ "answer": "14414517", "problem": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.", "solution": "14414517" }
14414517
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2197 \\times 6561 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (6561)\nWe can express \\( 6561 \\) as \\( 6000 + 500 + 60 + 1 \\). This allo...
[ "To solve the long multiplication equation \\( 2197 \\times 6561 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (6561)\nWe can express \\( 6561 \\) as \\( 6000 + 500 + 60 + 1 \\). This allows us ...
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6e0d197287f12c0e46ade106566a2bba77bf87e4f740924c47933c17ec8b304e
1
[ "14414517" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2197 x 6561 Think step by step. ## Here is the solution 14414517 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 155, "explanation": "This indicates the intention to simplify the multiplication by breaking it down into components, establishing a sub-goal.", "idx": 0, "span": "We can break it down using the **distributive property of multiplication over addition**.", "start_idx": 66 }, { ...
0
10
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{ "answer": "43486080", "problem": "What is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.", "solution": "43486080" }
43486080
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 6960 \\times 6248 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (6248)\nWe can express \\( 6248 \\) as:\n\\[ 6248 = 6000 + 200 + 40 + 8 \\]\n...
[ "To solve the long multiplication equation \\( 6960 \\times 6248 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (6248)\nWe can express \\( 6248 \\) as:\n\\[ 6248 = 6000 + 200 + 40 + 8 \\]\n\n### ...
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664cf68f804a4982b04c02d04afc9d97b00ebab63938714ba2f3fc668ab5d5ca
24984b8feccae18537d2780beb3f3e448662df5de9e356dbe300ba27dd46075f
1
[ "43486080" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6960 x 6248 Think step by step. ## Here is the solution 43486080 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1286, "explanation": "This snippet indicates that the model is taking a step to verify the accuracy of the calculations done previously.", "idx": 0, "span": "### Verification (Optional):", "start_idx": 1258 }, { "end_idx": 1718, "explanation": "This statement signifies t...
0
3
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{ "answer": "12950873", "problem": "What is the solution to the long multiplication equation below?\n\n5993 x 2161\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5993 x 2161\n\nThink step by step.", "solution": "12950873" }
12950873
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5993 x 2161\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 5993 \\times 2161 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding the resu...
[ "To solve the long multiplication equation \\( 5993 \\times 2161 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding the results.\n...
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90968395f8f17ea1ec8dba3c8b5f16cf9cf763299ebd4cbf679747d9689c06d0
f59f9b0f4be6d28c920a2be502d4e00b31054875d98e89b1f30a4d4f0c15694a
1
[ "12950873" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5993 x 2161 Think step by step. ## Here is the solution 12950873 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 166, "explanation": "The model explicitly states that it will break down the problem into smaller steps using a specific property, indicating a sub-goal.", "idx": 0, "span": "We'll break it down step by step using the **distributive property of multiplication over addition**", "star...
0
8
96
{ "answer": "30500504", "problem": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "solution": "30500504" }
30500504
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5468 \\times 5578\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(5468 \\times 5578\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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235f4fbd8262e12f698ced4a80b5c0352263da298f8e68d8421b13dcb6ed12ff
1
[ "30500504" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5468 x 5578 Think step by step. ## Here is the solution 30500504 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1506, "explanation": "This represents a self-check where the model confirms the solution by trying to verify it with a standard method.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., the standard long multiplication algorithm):", ...
0
3
96
{ "answer": "30500504", "problem": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.", "solution": "30500504" }
30500504
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(5468 \\times 5578\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(5468 \\times 5578\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
e88545ef91957b972367833f28be5f89494c8b375090e25d8ece79efd67204fe
3d7e8af8468fb655109ba77a3d284f1461edf23249081cb13edc6713bd497c48
235f4fbd8262e12f698ced4a80b5c0352263da298f8e68d8421b13dcb6ed12ff
1
[ "30500504" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5468 x 5578 Think step by step. ## Here is the solution 30500504 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1506, "explanation": "The model explicitly indicates a change in approach to confirm the solution by using a different method (the standard long multiplication algorithm) after initially using the distributive property.", "idx": 0, "span": "To ensure accuracy, let's verify using another...
0
2
32
{ "answer": "61868622", "problem": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.", "solution": "61868622" }
61868622
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 7179 \\times 8618 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 7179 \\times 8618 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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6507ce0feded43c83301ebc1214e22d90b369df30c3a23ebad569e58dd07fc45
0
[ "62,\\!278,\\!622" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7179 x 8618 Think step by step. ## Here is the solution 61868622 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1467, "explanation": "This snippet indicates that the model is double-checking its previous work by using a different method to confirm the correctness of the result.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multip...
0
3
32
{ "answer": "61868622", "problem": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.", "solution": "61868622" }
61868622
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 7179 \\times 8618 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 7179 \\times 8618 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
9e36f5b47d6b8a1552c080294fdffbb402b42181534f82836a6226aeed4411b2
784b48e508871f300eb24c5e9e3d1b2dfafa0606ac4a812f00de4c9acf994614
6507ce0feded43c83301ebc1214e22d90b369df30c3a23ebad569e58dd07fc45
0
[ "62,\\!278,\\!622" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7179 x 8618 Think step by step. ## Here is the solution 61868622 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1467, "explanation": "This statement indicates a pivot in the reasoning where the model decides to use an alternative approach (standard long multiplication) to confirm the results obtained through the previous method, representing a clear backtracking instance.", "idx": 0, "span": "To ...
0
2
30
{ "answer": "47253360", "problem": "What is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.", "solution": "47253360" }
47253360
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 7671 \\times 6160 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nNotice that \\( 6160 \\) can be written as \\( 6000 + 100 + 60 \\). This allows us to multiply \\( 7671 ...
[ "To solve the long multiplication equation \\( 7671 \\times 6160 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nNotice that \\( 6160 \\) can be written as \\( 6000 + 100 + 60 \\). This allows us to multiply \\( 7671 \\) by...
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026e10c061ce2b3e6f204bc2c5279958e2da13dad8ea495229b1d87c2455a548
28a6948f665cf4cb51be18ad83e7a365f7cae783a8155ab0c936ece071e6bd30
1
[ "47253360" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7671 x 6160 Think step by step. ## Here is the solution 47253360 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 123, "explanation": "The model explicitly states that it will break down the problem into manageable steps, indicating a sub-goal to simplify the multiplication.", "idx": 0, "span": "we can break it down into simpler, more manageable steps.", "start_idx": 66 }, { "end_idx": ...
0
6
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{ "answer": "8198197", "problem": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.", "solution": "8198197" }
8198197
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(1169 \\times 7013\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th...
[ "To solve the long multiplication equation \\(1169 \\times 7013\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part...
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9e411d46783b9f12b5f6db7ac6e903c763dba9aaa3cd315771e08b3035f4cd9b
1
[ "8198197" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 1169 x 7013 Think step by step. ## Here is the solution 8198197 ## Here are the current task instructions Cou...
subgoals
[ { "end_idx": 164, "explanation": "This sets a sub-goal of using the distributive property as the method to solve the multiplication.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**", "start_idx": 64 }, { "end_idx":...
0
8
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{ "answer": "14852720", "problem": "What is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.", "solution": "14852720" }
14852720
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(4240 \\times 3503\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (3503)\nThe number \\(3503\\) can be expres...
[ "To solve the long multiplication equation \\(4240 \\times 3503\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (3503)\nThe number \\(3503\\) can be expressed as...
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fbff615a503c9a5ea86bbd1b96852205aa2d3afd486e8089c73c0f18942fb0a5
1
[ "14852720" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4240 x 3503 Think step by step. ## Here is the solution 14852720 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1256, "explanation": "This snippet introduces the verification step, indicating a self-check of the answer.", "idx": 0, "span": "### Verification (Optional):", "start_idx": 1228 }, { "end_idx": null, "explanation": "This snippet provides a suggestion to verify the answer...
0
3
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{ "answer": "23014114", "problem": "What is the solution to the long multiplication equation below?\n\n4754 x 4841\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4754 x 4841\n\nThink step by step.", "solution": "23014114" }
23014114
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4754 x 4841\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 4754 \\times 4841 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 4754 \\times 4841 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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c1b4f0a7c1e3c9ea086d0b112965dddabf54afb416a65191c51731f1c81322ac
70195460cd630b6d12ed2f23839396cb8df92a026b29b4b6faf78b2cec5efe62
1
[ "23014114" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4754 x 4841 Think step by step. ## Here is the solution 23014114 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1422, "explanation": "The model explicitly states it will verify the previous calculations using another method, showing a step to recheck accuracy.", "idx": 0, "span": "### Verification", "start_idx": 1406 }, { "end_idx": 1514, "explanation": "This statement indicates t...
0
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{ "answer": "33870096", "problem": "What is the solution to the long multiplication equation below?\n\n6031 x 5616\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6031 x 5616\n\nThink step by step.", "solution": "33870096" }
33870096
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6031 x 5616\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\(6031 \\times 5616\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a...
[ "To solve the long multiplication equation \\(6031 \\times 5616\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ...
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0
[ "33,\\!870,\\!196" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6031 x 5616 Think step by step. ## Here is the solution 33870096 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1391, "explanation": "This indicates the model is checking its previous calculations by using a different method to confirm the correctness.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multiplication):", "start_id...
0
3
70
{ "answer": "10793616", "problem": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.", "solution": "10793616" }
10793616
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 2616 \\times 4126 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 2616 \\times 4126 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9
1
[ "10793616" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2616 x 4126 Think step by step. ## Here is the solution 10793616 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 167, "explanation": "This quote indicates that the model is setting a strategy to approach the solution by breaking the problem into smaller parts, which is a form of sub-goal.", "idx": 0, "span": "We'll break it down step by step using the **distributive property of multiplication over...
0
9
1
{ "answer": "85049860", "problem": "What is the solution to the long multiplication equation below?\n\n8660 x 9821\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8660 x 9821\n\nThink step by step.", "solution": "85049860" }
85049860
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8660 x 9821\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 8660 \\times 9821 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the ...
[ "To solve the long multiplication equation \\( 8660 \\times 9821 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the partia...
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66b6db2a60e688220605acc4e362109453f11fa962fa10572630845fd83be98b
1
[ "85049860" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8660 x 9821 Think step by step. ## Here is the solution 85049860 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 167, "explanation": "This indicates the intention to decompose the overall problem into manageable steps, setting the stage for further breakdown.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addition**.", "start_idx"...
0
10
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{ "answer": "8774359", "problem": "What is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.", "solution": "8774359" }
8774359
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "To solve the long multiplication equation \\( 4133 \\times 2123 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then...
[ "To solve the long multiplication equation \\( 4133 \\times 2123 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin...
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1236d3aa175712b479162a6753f65557bca804b266abc59d422be0eabf41738a
1
[ "8774359" ]
TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4133 x 2123 Think step by step. ## Here is the solution 8774359 ## Here are the current task instructions Count h...
verification
[ { "end_idx": 1350, "explanation": "This indicates a step where the model is actively checking its work, suggesting a self-verification process.", "idx": 0, "span": "### Verification", "start_idx": 1334 }, { "end_idx": 1456, "explanation": "The phrase clearly indicates that the model ...
0
4
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{ "answer": "32035560", "problem": "What is the solution to the long multiplication equation below?\n\n7170 x 4468\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7170 x 4468\n\nThink step by step.", "solution": "32035560" }
32035560
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7170 x 4468\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7170 by 4468. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all ...
[ "<think>\nOkay, so I need to multiply 7170 by 4468. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Le...
105349441fd899fa97f0ebdf9168ed245a30d5fcf30c7c4cdb119911efb130fb
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c9f79caea0d4b141582c9ad202a50a1bdc8c3a1534a6469a1be242ce7231ca9a
1
[ "32035560" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7170 x 4468 Think step by step. ## Here is the solution 32035560 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 3465, "explanation": "This snippet shows that the model recognizes the need for an alternative method to confirm its result, indicating backtracking.", "idx": 0, "span": "But wait, let me verify this with another method to make sure I didn't make a mistake. Maybe using the distributive ...
0
7
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{ "answer": "22964864", "problem": "What is the solution to the long multiplication equation below?\n\n3848 x 5968\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3848 x 5968\n\nThink step by step.", "solution": "22964864" }
22964864
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3848 x 5968\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 3848 by 5968. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 3848 by 5968. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
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42c84201700d810185282cff80ac555248b14235fdc8404de189e5e88650afac
0
[ "<think>\nOkay, so I need to multiply 3848 by 5968. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3848 x 5968 Think step by step. ## Here is the solution 22964864 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 334, "explanation": "This indicates that the model is recalling specific steps to complete the task, hinting at breaking down the problem.", "idx": 0, "span": "Let me try to recall the exact steps.", "start_idx": 297 }, { "end_idx": 427, "explanation": "This establishes ...
0
19
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{ "answer": "13003956", "problem": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.", "solution": "13003956" }
13003956
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 5562 by 2338. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces...
[ "<think>\nOkay, so I need to multiply 5562 by 2338. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n...
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6a7da9c68366029fa97d213da6a2091c3aca782e895270dc623b06292598a00f
1
[ "13003956" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5562 x 2338 Think step by step. ## Here is the solution 13003956 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 152, "explanation": "The model indicates it will approach the problem in a step-by-step manner, which suggests breaking down the problem.", "idx": 0, "span": "Let me think about how to approach this step by step.", "start_idx": 99 }, { "end_idx": 392, "explanation": "Thi...
0
16
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{ "answer": "31522905", "problem": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.", "solution": "31522905" }
31522905
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 3585 by 8793. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3585...
[ "<think>\nOkay, so I need to multiply 3585 by 8793. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3585\nx 87...
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b94a270f22e2ff8649f25e55d790139588e07a05591cdf9ea67690e3116bf28e
fad0281e18f667216c7e657cfea2c540f1687bd27a739e16a05293b4bcfa5d11
1
[ "31522905" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3585 x 8793 Think step by step. ## Here is the solution 31522905 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 456, "explanation": "This sentence demonstrates the model creating a sub-goal by deciding to break down the multiplication into smaller parts based on each digit.", "idx": 0, "span": "First, I should probably break down the multiplication by each digit of the second number (8793), start...
0
18
28
{ "answer": "14041975", "problem": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.", "solution": "14041975" }
14041975
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 2225 by 6311. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 2225 by 6311. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
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3d45345d3847937572145683203af6bc9de8fc62e4fa842a3ecd43483915ceb1
e3f88490daba280d420ae84d21d421f83acd7dbdd4d62d6e0be5ddd2bc8696c8
1
[ "14041975" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2225 x 6311 Think step by step. ## Here is the solution 14041975 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": null, "explanation": "This indicates that the model is creating a sub-goal to simplify the multiplication problem.", "idx": 0, "span": "Let me break down the problem into smaller parts.", "start_idx": null }, { "end_idx": 444, "explanation": "The model is establishing a ...
0
21
17
{ "answer": "24957688", "problem": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.", "solution": "24957688" }
24957688
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 9772 by 2554. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 9772 by 2554. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
8db812af311e804926677f80292c96211a3ec2ed4aea8eaeadf8c4171f904e60
6d4506d6b3fb1355af61dfa1b3a3e51bf01345b8f7808128943bcb96c1c3af1a
96b801b79e8eef3a0b9f114d2317019b89f84d47e1cb383f8671f60da27c97c3
1
[ "24957688" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9772 x 2554 Think step by step. ## Here is the solution 24957688 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1782, "explanation": "The model recognizes a potential error in the reasoning process after stating the intermediate result and pauses to reassess.", "idx": 0, "span": "Wait, hold on.", "start_idx": 1768 }, { "end_idx": 2464, "explanation": "This shows the model reflecti...
0
9
69
{ "answer": "25777960", "problem": "What is the solution to the long multiplication equation below?\n\n5570 x 4628\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5570 x 4628\n\nThink step by step.", "solution": "25777960" }
25777960
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5570 x 4628\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 5570 by 4628. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all ...
[ "<think>\nOkay, so I need to multiply 5570 by 4628. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Le...
bcfb316e9add593ca6449c49149a609d78fc052577e2e5581e91ba68fa47e7ec
78a9dbdfbe95593217b3bfb35146af68b4837aa6c4966f5a92ff22293da646ec
d16d02ae6c305a0ffe52ec7b7d3290280c3916f498438a939202e4013ffaecfc
1
[ "25777960" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 5570 x 4628 Think step by step. ## Here is the solution 25777960 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 2240, "explanation": "The model explicitly recognizes a mistake in its previous reasoning regarding the shifting of the tens place and recalibrates its approach.", "idx": 0, "span": "Wait, no. Wait, when you multiply by the tens digit, you shift one place to the left, which is equivalen...
0
5
75
{ "answer": "22352715", "problem": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.", "solution": "22352715" }
22352715
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 3465 by 6451. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3465...
[ "<think>\nOkay, so I need to multiply 3465 by 6451. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3465\nx 64...
ff6c9b873d2fff8637c170170379b755373e40832d1933d63b934821d4a8c56e
75fb22c51ab1142da3fd5b44660a005234888b14907384b73bc0d5372c14f8d4
19eb9b6642aa9fe2cacf2d5d3796fc926c76b39cfbcbcc619460fed5a7523ffa
1
[ "22352715" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3465 x 6451 Think step by step. ## Here is the solution 22352715 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 901, "explanation": "This is a rechecking of the multiplication calculation.", "idx": 0, "span": "Let me check: 3465 x 5.", "start_idx": 878 }, { "end_idx": 1166, "explanation": "This shows the model is pausing to confirm the accuracy of its calculations.", "idx": 1,...
0
12
4
{ "answer": "8882562", "problem": "What is the solution to the long multiplication equation below?\n\n6838 x 1299\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6838 x 1299\n\nThink step by step.", "solution": "8882562" }
8882562
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6838 x 1299\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 6838 by 1299. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numb...
[ "<think>\nOkay, so I need to multiply 6838 by 1299. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numbers ar...
12affd463da3378c6575dcbfa7412dd67ab0ecd6cfd0671e1cb584428069b831
98d1e45af31cde86c96be980508076b0a5389b1b2fa4e9b0b683093742a49def
607d4b82535dda4f178b0a3d3286bcd68ac497be23fdcae580c31944f48a8303
1
[ "8882562" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6838 x 1299 Think step by step. ## Here is the solution 8882562 ## Here are the current task instructions Count h...
verification
[ { "end_idx": 735, "explanation": "The model is rechecking whether the breakdown of 1299 being 1300 - 1 is correct.", "idx": 0, "span": "Let me check that.", "start_idx": 717 }, { "end_idx": 1193, "explanation": "The model indicates it will verify the addition of two parts to confirm ...
0
8
88
{ "answer": "11827597", "problem": "What is the solution to the long multiplication equation below?\n\n6157 x 1921\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6157 x 1921\n\nThink step by step.", "solution": "11827597" }
11827597
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6157 x 1921\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 6157 by 1921. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 6157 by 1921. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
243b9c4e28d8934b924bebe8d5a457c0392061e515f13bf031dd7c48e6e1dfaf
e95a0e75e9d1aa072a098dc54c1ff612c4ef8821308fdd3fa11b47dc7a684e93
07c43af6fbc6be8ec559300763b04edaa9cfaa0897820ecb24d49c71ab9c329d
1
[ "11827597" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6157 x 1921 Think step by step. ## Here is the solution 11827597 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": null, "explanation": "This shows an intent to create a sub-goal by breaking down the problem into manageable parts.", "idx": 0, "span": "Let me break down the second number, 1921, into its individual digits: 1, 9, 2, and 1.", "start_idx": null }, { "end_idx": 1029, "expl...
0
6
29
{ "answer": "19507773", "problem": "What is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.", "solution": "19507773" }
19507773
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4371 by 4463. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 4371 by 4463. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
38d8fa86f6f26083a35fa1c84b9a409166fd169a33d058c7645b260e016fa8d4
8c01bb0307bf8dc00f4d37067e1f8337c8461f9f2fae5b8f653fcd045eb21a84
d396bf20f54f1b1946eda26ca05b203e7db6c374c0f09c969fa7cfb0ddf58647
0
[ "<think>\nOkay, so I need to multiply 4371 by 4463. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4371 x 4463 Think step by step. ## Here is the solution 19507773 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 2031, "explanation": "The model acknowledges a potential error and re-evaluates its addition.", "idx": 0, "span": "Wait, is that right? Wait, 17,484,000 + 1,748,400. Let me break it down:", "start_idx": 1959 }, { "end_idx": 2394, "explanation": "The model expresses uncer...
0
14
64
{ "answer": "43862210", "problem": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.", "solution": "43862210" }
43862210
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4930 by 8897. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b...
[ "<think>\nOkay, so I need to multiply 4930 by 8897. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
eb6ed3d25164b2d00ec66dfc8d79a1ab7a4dc1f23738d15d7f24ece14f66a314
774ef55700e2f98a5694c22033310a05dd41c4b3faee012cae98784a1cf9ac08
aeb73f2d31217126e241e197dbaa210f4a89e6eb946dc1d06f265a9f1b6d1350
1
[ "43862210" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4930 x 8897 Think step by step. ## Here is the solution 43862210 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 517, "explanation": "This indicates the intent to create a sub-goal by simplifying the original numbers.", "idx": 0, "span": "First, maybe I can break down the numbers into their place values.", "start_idx": 451 }, { "end_idx": 1004, "explanation": "This shows the model ...
0
19
84
{ "answer": "30947238", "problem": "What is the solution to the long multiplication equation below?\n\n7182 x 4309\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7182 x 4309\n\nThink step by step.", "solution": "30947238" }
30947238
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7182 x 4309\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7182 by 4309. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces...
[ "<think>\nOkay, so I need to multiply 7182 by 4309. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n...
d281ba14066f51d914ba924280679d5a7e0f99e36782b246d6a3bda7644b10e3
b0d9bcd726620a61dc8c74d88f2153fb37f3dbcb6a3f2a470f5ce355953886e4
b01ac4611f17e54f4e68129547a7f1365da1f9e19cb35698981a01c1aacc12a2
1
[ "30947238" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7182 x 4309 Think step by step. ## Here is the solution 30947238 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 2240, "explanation": "This indicates the model is rechecking its calculations.", "idx": 0, "span": "Let me check that again.", "start_idx": 2216 }, { "end_idx": 2440, "explanation": "This shows the model confirming its previous calculation.", "idx": 1, "span": "Y...
0
17
89
{ "answer": "8122236", "problem": "What is the solution to the long multiplication equation below?\n\n4098 x 1982\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4098 x 1982\n\nThink step by step.", "solution": "8122236" }
8122236
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4098 x 1982\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4098 by 1982. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 4098 by 1982. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
2bda6e069b3b7dfaa5fb9903dd50e880fba91bf478b2931f1270ad0dc8d4c2e1
c7869162a3c6102a52b8d5d3e2aa9870ceec3a260b3a6abb17715c53d0394c7d
054b3571eb9d73a52c39b2f322ffcc6d5d52a0a7a2f494c7eb36b50d41bc2208
1
[ "8122236" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4098 x 1982 Think step by step. ## Here is the solution 8122236 ## Here are the current task instructions Count how ma...
backtracking
[ { "end_idx": 334, "explanation": "The model backtracks to remember how to correctly execute the long multiplication process.", "idx": 0, "span": "Let me try to recall the exact steps.", "start_idx": 297 }, { "end_idx": 743, "explanation": "Here, the model contemplates a new strategy,...
0
4
53
{ "answer": "33041066", "problem": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "solution": "33041066" }
33041066
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7039 by 4694. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 7039 by 4694. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
3c91ed3eb0a59a040cda0c065f937e99303d3135742aa0e0e22e496a02e82a6c
857ebaa120403a9bd2278102f222137bac5cc6cd03dac9084e0782b181acfd3d
1dba8f47a0364f3b46d3c7346e1b3d6705fb8bd49b00ff19b5c18ee30771e9da
1
[ "33041066" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7039 x 4694 Think step by step. ## Here is the solution 33041066 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1058, "explanation": "The model confirms its understanding of the long multiplication process.", "idx": 0, "span": "Let me confirm that. Yes, that's right.", "start_idx": 1019 }, { "end_idx": 2192, "explanation": "The model is double-checking its calculation for accuracy...
0
26
53
{ "answer": "33041066", "problem": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.", "solution": "33041066" }
33041066
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7039 x 4694\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7039 by 4694. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 7039 by 4694. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
3c91ed3eb0a59a040cda0c065f937e99303d3135742aa0e0e22e496a02e82a6c
857ebaa120403a9bd2278102f222137bac5cc6cd03dac9084e0782b181acfd3d
1dba8f47a0364f3b46d3c7346e1b3d6705fb8bd49b00ff19b5c18ee30771e9da
1
[ "33041066" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7039 x 4694 Think step by step. ## Here is the solution 33041066 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1018, "explanation": "This indicates a moment of reconsideration where the model shifts from its original plan of breaking down the second number into individual digits.", "idx": 0, "span": "Wait, but actually, in standard long multiplication, you usually take the bottom number and mult...
0
16
93
{ "answer": "31656604", "problem": "What is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.", "solution": "31656604" }
31656604
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 6503 by 4868. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 6503 by 4868. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
d276285aaae2a9b79540e0ed36f80d1c65ceb3cae93d73c576eeb27a2f25c375
71ba49b1acc92f8331f0988bedd91e30f7b9e69b63c1b48c88c3cf4a7effcb98
32f888cfeec8e8dbde8e50461a0c07c6b2e37d513f47da71817e0f41e482c637
1
[ "31656604" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6503 x 4868 Think step by step. ## Here is the solution 31656604 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1618, "explanation": "This indicates a reconsideration of the previous calculation, suggesting a need to review the process.", "idx": 0, "span": "Wait, let me check that again step by step:", "start_idx": 1575 }, { "end_idx": 2408, "explanation": "This shows a realizatio...
0
10
57
{ "answer": "17263554", "problem": "What is the solution to the long multiplication equation below?\n\n3311 x 5214\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3311 x 5214\n\nThink step by step.", "solution": "17263554" }
17263554
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3311 x 5214\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 3311 by 5214. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 3311 by 5214. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
6d7864f3585c016284622d378823cb2e5411b585199c804d6cabd95555e2daf1
8cb6afcb9ac83c004a43906bd619164a60827b6a1f67133ebc2f38e84db92ef2
5692a05a45629d81f9b644e78f44bd720ea1a8e540c340b35031865f939b1049
1
[ "17263554" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3311 x 5214 Think step by step. ## Here is the solution 17263554 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1586, "explanation": "This indicates the model is rechecking its prior calculation to confirm correctness.", "idx": 0, "span": "Wait, let me check that again. Let's do it step by step:", "start_idx": 1530 }, { "end_idx": 1813, "explanation": "Here, the model confirms tha...
0
24
0
{ "answer": "27920880", "problem": "What is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.", "solution": "27920880" }
27920880
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 2983 by 9360. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, I should probably approach this step by step to avoid m...
[ "<think>\nOkay, so I need to multiply 2983 by 9360. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, I should probably approach this step by step to avoid mistake...
049b734fc33b4d136be3940d181cef03c74ac3683c0b8e7532b8a741d83152e9
8a73ad045d104953ef589b56ac66669f0147b013b439daba0d0e513b5d9b5f41
1524b58d71fd3c67a0c7fa073af5f0a366117855afc1af1e1a3a3f74fcf69775
1
[ "27920880" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2983 x 9360 Think step by step. ## Here is the solution 27920880 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 1104, "explanation": "This sets a sub-goal to first compute a lesser multiplication (2983 x 936) before completing the final goal.", "idx": 0, "span": "So first, compute 2983 x 936, then multiply by 10. Let's start with 2983 x 936.", "start_idx": 1025 }, { "end_idx": 516, ...
0
23
20
{ "answer": "36059446", "problem": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.", "solution": "36059446" }
36059446
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7222 by 4993. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b...
[ "<think>\nOkay, so I need to multiply 7222 by 4993. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
ecdf1cd125c43607d77629ed85af3c399c3128f4b19097218c6d2d3c362af5b0
f81a68b0aad63474c340b8e091c2b768b79055538ecc2e0fc9268096d2306716
48db18f274b8d04206205e1fbfb74aba904b40b01b0b5ebaa0d05ef456ec7804
1
[ "36059446" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7222 x 4993 Think step by step. ## Here is the solution 36059446 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 139, "explanation": "The user sets a sub-goal to consider how to approach the multiplication problem.", "idx": 0, "span": "let me think about how to approach this.", "start_idx": 99 }, { "end_idx": 442, "explanation": "The user creates a sub-goal to find a more efficient...
0
14
90
{ "answer": "68236670", "problem": "What is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.", "solution": "68236670" }
68236670
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655...
[ "<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655\nx 89...
ef59a8900d35a71122cbc9acdfde2440b2dd1081a3461bf41f6f80be145f7088
af948f2fa1912b2733cf26fe9d259e8e500fe23e88d83cff3f924c74fdde9c25
c8d4d0fe0ac64b677a0b6ecf701b930d320602b1373a31a2f1146c0d0857a5c4
0
[ "<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655\nx 89...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7655 x 8914 Think step by step. ## Here is the solution 68236670 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 796, "explanation": "The model pauses to verify its previous multiplication result.", "idx": 0, "span": "Wait, let me check that again:", "start_idx": 766 }, { "end_idx": 1002, "explanation": "The model confirms the correctness of the first partial product.", "idx": ...
0
15
90
{ "answer": "68236670", "problem": "What is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.", "solution": "68236670" }
68236670
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655...
[ "<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655\nx 89...
ef59a8900d35a71122cbc9acdfde2440b2dd1081a3461bf41f6f80be145f7088
af948f2fa1912b2733cf26fe9d259e8e500fe23e88d83cff3f924c74fdde9c25
c8d4d0fe0ac64b677a0b6ecf701b930d320602b1373a31a2f1146c0d0857a5c4
0
[ "<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655\nx 89...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7655 x 8914 Think step by step. ## Here is the solution 68236670 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 8012, "explanation": "The model acknowledges a mistake in the addition results, indicating that it is reevaluating its work and suggesting another method to confirm its results.", "idx": 0, "span": "Wait, but that's different. So there's a mistake here. Which one is correct?", "star...
0
16
43
{ "answer": "8440497", "problem": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.", "solution": "8440497" }
8440497
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 1807 by 4671. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 1807 by 4671. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
6de761d2605b3a2028b0147438297deade10a816c5dfd2d1469147c6f0ee0d0b
31db4eba81ffd5b079eb8ed95ed77da101c75e5970cde973a07df3fa5a249e76
8bb45eb75298b7f2c239ca65ddea6adaded0956fdbe6210da81f3a4319288921
1
[ "8440497" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 1807 x 4671 Think step by step. ## Here is the solution 8440497 ## Here are the current task instructions Cou...
subgoals
[ { "end_idx": 336, "explanation": "The model is setting the sub-goal of recalling the steps of long multiplication.", "idx": 0, "span": "Let me try to recall the exact steps.", "start_idx": 299 }, { "end_idx": 418, "explanation": "The model creates a sub-goal of aligning the numbers p...
0
16
79
{ "answer": "82387669", "problem": "What is the solution to the long multiplication equation below?\n\n8281 x 9949\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8281 x 9949\n\nThink step by step.", "solution": "82387669" }
82387669
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8281 x 9949\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 8281 by 9949. Hmm, that's a pretty big multiplication problem. Let me think about the best way to approach this. I remember that for large numbers, breaking them down into smaller parts can make the calculation easier. Maybe I can use the distributive property here, like ...
[ "<think>\nOkay, so I need to multiply 8281 by 9949. Hmm, that's a pretty big multiplication problem. Let me think about the best way to approach this. I remember that for large numbers, breaking them down into smaller parts can make the calculation easier. Maybe I can use the distributive property here, like splitt...
556e1b584060b1766b49077dd0f14d86af4a067fb0f87ed09535fd6d343b1d3d
e8e0c847b98c0118be14f4cd4fa70219bc8b750651d16cf8652f9bb861940ab9
d407b925af7e81140d15fbd20c4427ba3cbbed6c6bd2008f2136f181c51d14d5
1
[ "82387669" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8281 x 9949 Think step by step. ## Here is the solution 82387669 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 2139, "explanation": "This is self verification as the model checks its subtraction to ensure correctness.", "idx": 0, "span": "Wait, let me check that subtraction again to make sure I didn't make a mistake.", "start_idx": 2060 }, { "end_idx": 3271, "explanation": "The m...
0
8
82
{ "answer": "39408570", "problem": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.", "solution": "39408570" }
39408570
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4710 by 8367. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all ...
[ "<think>\nOkay, so I need to multiply 4710 by 8367. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Le...
5edacc69dd52666e061535d55e4fdcdba49af9e73df6e9fb477e989eeede285e
3c720008cddd25942ad622f6c86d9e1d18b9e50dfc24601477a96abadac69af4
c924f58d055a40758756c4bdc3ba590f134dc45d25fe9a93edbb3a058405fc1b
1
[ "39408570" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4710 x 8367 Think step by step. ## Here is the solution 39408570 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1285, "explanation": "This indicates a pause to re-examine the calculation of the partial product.", "idx": 0, "span": "Wait, let me check that again. Starting from the right:", "start_idx": 1230 }, { "end_idx": 1386, "explanation": "The model confirms its previous calcu...
0
10
82
{ "answer": "39408570", "problem": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.", "solution": "39408570" }
39408570
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4710 by 8367. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all ...
[ "<think>\nOkay, so I need to multiply 4710 by 8367. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Le...
5edacc69dd52666e061535d55e4fdcdba49af9e73df6e9fb477e989eeede285e
3c720008cddd25942ad622f6c86d9e1d18b9e50dfc24601477a96abadac69af4
c924f58d055a40758756c4bdc3ba590f134dc45d25fe9a93edbb3a058405fc1b
1
[ "39408570" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4710 x 8367 Think step by step. ## Here is the solution 39408570 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1260, "explanation": "The model realizes it needs to re-evaluate its previous calculation and goes back to double-check.", "idx": 0, "span": "Wait, let me check that again.", "start_idx": 1230 }, { "end_idx": 1878, "explanation": "The model recognizes an error in its und...
0
16
67
{ "answer": "82799430", "problem": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.", "solution": "82799430" }
82799430
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
ae9e7e6b969a499659a1bee98e8450b110a211d9dc04c5689f82cd5be3346945
c8ad58af76f2034a08c5358f27ad3afa2746d289a4991abc17dcd7ba3bb42f49
ce34a85ebe917cd5776ef5cc2d4ed9f1492ccccd2cf211376c114fe2d9dccc69
0
[ "<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9870 x 8389 Think step by step. ## Here is the solution 82799430 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1305, "explanation": "This shows the model checking its intermediate calculation for accuracy.", "idx": 0, "span": "Wait, let me check again:", "start_idx": 1280 }, { "end_idx": 1507, "explanation": "Here, the model is confirming that the first calculation is indeed corr...
0
20
67
{ "answer": "82799430", "problem": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.", "solution": "82799430" }
82799430
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
ae9e7e6b969a499659a1bee98e8450b110a211d9dc04c5689f82cd5be3346945
c8ad58af76f2034a08c5358f27ad3afa2746d289a4991abc17dcd7ba3bb42f49
ce34a85ebe917cd5776ef5cc2d4ed9f1492ccccd2cf211376c114fe2d9dccc69
0
[ "<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9870 x 8389 Think step by step. ## Here is the solution 82799430 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 334, "explanation": "This shows the model setting a sub-goal to recall the steps needed to perform long multiplication.", "idx": 0, "span": "Let me try to recall the exact steps.", "start_idx": 297 }, { "end_idx": 442, "explanation": "The model plans the arrangement of t...
0
14
6
{ "answer": "20024290", "problem": "What is the solution to the long multiplication equation below?\n\n7865 x 2546\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7865 x 2546\n\nThink step by step.", "solution": "20024290" }
20024290
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7865 x 2546\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7865 by 2546. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces...
[ "<think>\nOkay, so I need to multiply 7865 by 2546. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n...
0c0484d0744c56863a540f961b0d5da34877c5a472676d49b48d825ddda11f19
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222f094896bd55c0007d87b49f9eb2017ae308e1d8b66d6bbe335daa447b9c4f
1
[ "20024290" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7865 x 2546 Think step by step. ## Here is the solution 20024290 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 310, "explanation": "This indicates that the model is reconsidering its approach to the problem.", "idx": 0, "span": "Let me try to recall the exact process.", "start_idx": 271 }, { "end_idx": 874, "explanation": "The model is explicitly stating an alternative approach a...
0
14
5
{ "answer": "34661674", "problem": "What is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.", "solution": "34661674" }
34661674
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4366 by 7939. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 4366 by 7939. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
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5f1b01505b265eb78c13648f5f4ae414d03679a259118f1da1bb3b93904a5ccc
44b77d8f0ec2ca4140541a3648340fc3bef9d4dad405363f64fd93d907202ec5
1
[ "34661674" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4366 x 7939 Think step by step. ## Here is the solution 34661674 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 336, "explanation": "The model sets a sub-goal to recall the steps for long multiplication.", "idx": 0, "span": "Let me try to recall the exact steps.", "start_idx": 299 }, { "end_idx": 418, "explanation": "The model sets a sub-goal to write down the numbers and align th...
0
10
24
{ "answer": "47262788", "problem": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.", "solution": "47262788" }
47262788
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b...
[ "<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
86b806571fd1dcb8e7211e9415bcaa518fcd7be4a3ac4b86965395db0b8c5a11
f7497f8512820adbc188c5d10e9c389bad3efb43b08243314d02a4102d7436e1
826362f36d586308dfe0409a105da0deb863df3a679364cc6ff3b6962830f81c
0
[ "<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8012 x 5899 Think step by step. ## Here is the solution 47262788 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 4231, "explanation": "This indicates a shift in strategy, suggesting the model is unsure about its current approach.", "idx": 0, "span": "Maybe it's easier to subtract step by step.", "start_idx": 4188 }, { "end_idx": 3186, "explanation": "The model acknowledges confusio...
0
8
24
{ "answer": "47262788", "problem": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.", "solution": "47262788" }
47262788
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b...
[ "<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
86b806571fd1dcb8e7211e9415bcaa518fcd7be4a3ac4b86965395db0b8c5a11
f7497f8512820adbc188c5d10e9c389bad3efb43b08243314d02a4102d7436e1
826362f36d586308dfe0409a105da0deb863df3a679364cc6ff3b6962830f81c
0
[ "<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 8012 x 5899 Think step by step. ## Here is the solution 47262788 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 449, "explanation": "The model identifies the need to find a more efficient approach, setting a sub-goal for simplification.", "idx": 0, "span": "Let me see if there's a smarter way to do this without making too many mistakes.", "start_idx": 369 }, { "end_idx": 513, "exp...
0
16
62
{ "answer": "2346851", "problem": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.", "solution": "2346851" }
2346851
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbe...
[ "<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbers one...
429fbf70a25497b4ebc13a61f790ce87311d94970ce90da01b46c57f1e646c7c
f047254650a01855da6e271a6816b1adb47319c425b95e2571feeed50acc30de
4c00f8817c0801383bb215c04fe14606248ff7848cf4493716408c5d66d7260c
0
[ "<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbers one...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 2171 x 1081 Think step by step. ## Here is the solution 2346851 ## Here are the current task instructions Count how ma...
backtracking
[ { "end_idx": 1240, "explanation": "This indicates the model recognized a potential error in its reasoning or calculation and is pausing to reassess.", "idx": 0, "span": "Wait, hold on.", "start_idx": 1226 }, { "end_idx": 2781, "explanation": "This shows the model is reconsidering its...
0
6
22
{ "answer": "38217452", "problem": "What is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.", "solution": "38217452" }
38217452
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7924 by 4823. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces...
[ "<think>\nOkay, so I need to multiply 7924 by 4823. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n...
2dafa663e915dad11dbbd24f4056e4daf7677826398a22dd60b765a9a4376cd4
d9fe5d10c14aaa6aa282cbfc04c5788c50bbff565dc5fa4fb65bbfb6939fc36d
bc7e133737810d899fdd7fe3dc50e1d23c2e0d51aacd1057d22fa2d1f6eb6686
1
[ "38217452" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7924 x 4823 Think step by step. ## Here is the solution 38217452 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1763, "explanation": "The model pauses its calculation to re-evaluate the previous step of multiplying by the tens place.", "idx": 0, "span": "Wait, let me check that again.", "start_idx": 1733 }, { "end_idx": 2001, "explanation": "The model explicitly states it will con...
0
22
22
{ "answer": "38217452", "problem": "What is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.", "solution": "38217452" }
38217452
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7924 by 4823. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces...
[ "<think>\nOkay, so I need to multiply 7924 by 4823. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n...
2dafa663e915dad11dbbd24f4056e4daf7677826398a22dd60b765a9a4376cd4
d9fe5d10c14aaa6aa282cbfc04c5788c50bbff565dc5fa4fb65bbfb6939fc36d
bc7e133737810d899fdd7fe3dc50e1d23c2e0d51aacd1057d22fa2d1f6eb6686
1
[ "38217452" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7924 x 4823 Think step by step. ## Here is the solution 38217452 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 392, "explanation": "This indicates a sub-goal of organizing the numbers for multiplication.", "idx": 0, "span": "First, I should write down the two numbers, aligning them by their place values.", "start_idx": 312 }, { "end_idx": 816, "explanation": "The model sets a sub...
0
14
68
{ "answer": "10325688", "problem": "What is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.", "solution": "10325688" }
10325688
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 9508 by 1086. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 9508 by 1086. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
d9405fece4886e57617e9a48525436f5f2ab9547f983433fe1714d1703ee428c
c93933147aa2be416d7c8d268756a564459c8cbc98e5bd3dfe07698b77862e88
ff62f55a3d8f17d91ef7e4d1b656002294a2fcf66f690c376237964d7119db15
1
[ "10325688" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9508 x 1086 Think step by step. ## Here is the solution 10325688 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 2082, "explanation": "The model is re-evaluating its earlier addition of parts of the multiplication.", "idx": 0, "span": "Let me check my addition again to make sure I didn't make a mistake.", "start_idx": 2014 }, { "end_idx": 2436, "explanation": "The model confirms th...
0
19
68
{ "answer": "10325688", "problem": "What is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.", "solution": "10325688" }
10325688
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 9508 by 1086. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 9508 by 1086. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
d9405fece4886e57617e9a48525436f5f2ab9547f983433fe1714d1703ee428c
c93933147aa2be416d7c8d268756a564459c8cbc98e5bd3dfe07698b77862e88
ff62f55a3d8f17d91ef7e4d1b656002294a2fcf66f690c376237964d7119db15
1
[ "10325688" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9508 x 1086 Think step by step. ## Here is the solution 10325688 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 743, "explanation": "This shows a reconsideration of the model's initial approach to solving the multiplication.", "idx": 0, "span": "But actually, maybe breaking down 1086 into its place values would help.", "start_idx": 671 }, { "end_idx": null, "explanation": "This in...
0
7
58
{ "answer": "16019024", "problem": "What is the solution to the long multiplication equation below?\n\n7288 x 2198\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7288 x 2198\n\nThink step by step.", "solution": "16019024" }
16019024
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7288 x 2198\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 7288 by 2198. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 7288 by 2198. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
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8bdcd4e13e8dcbd9737fc289780913164ac63514d397a4a5c14391f5c7056a4f
9206edebcc38e5031f20dd0a3b4f4b6deebc23e097872bd701e91ea7b807d576
1
[ "16019024" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 7288 x 2198 Think step by step. ## Here is the solution 16019024 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1731, "explanation": "This confirms the intermediate multiplication result.", "idx": 0, "span": "So yes, 58,304. That seems right.", "start_idx": 1698 }, { "end_idx": 2257, "explanation": "This indicates the model is about to recheck its previous calculation.", "idx"...
0
16
16
{ "answer": "44236416", "problem": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.", "solution": "44236416" }
44236416
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4704 by 9404. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b...
[ "<think>\nOkay, so I need to multiply 4704 by 9404. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
b24a68f7e17bec4c6ff23b4137d5d7129965297562a7708c10ec84e63bb76024
841a1d1dce8d0f5fd3ce41f901c534ad8be02bfe57807fc707551c88d78a620b
20b3b771613e89e037700619d5f4ed090b3a662a348b1476ba8a487f34dbe3e2
0
[ "<think>\nOkay, so I need to multiply 4704 by 9404. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4704 x 9404 Think step by step. ## Here is the solution 44236416 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 676, "explanation": "This indicates a recognition of a mistake and a pivot to reassess previous calculations.", "idx": 0, "span": "Wait, no, that's not right.", "start_idx": 649 }, { "end_idx": 1904, "explanation": "The model acknowledges the incorrect multiplication for...
0
13
16
{ "answer": "44236416", "problem": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.", "solution": "44236416" }
44236416
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 4704 by 9404. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b...
[ "<think>\nOkay, so I need to multiply 4704 by 9404. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
b24a68f7e17bec4c6ff23b4137d5d7129965297562a7708c10ec84e63bb76024
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[ "<think>\nOkay, so I need to multiply 4704 by 9404. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu...
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 4704 x 9404 Think step by step. ## Here is the solution 44236416 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 49, "explanation": "This sentence sets the initial goal of the problem and acknowledges the task.", "idx": 0, "span": "Okay, so I need to multiply 4704 by 9404.", "start_idx": 8 }, { "end_idx": 139, "explanation": "This indicates the model is planning its next steps and ...
0
27
2
{ "answer": "7116252", "problem": "What is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.", "solution": "7116252" }
7116252
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 1014 by 7018. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 1014 by 7018. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
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b83a891f234a26c097440bfcdee9f4d5833c37332c18c3d16d0b4da8b5d91a4e
2011ce3c349cb8f96857b179dbe2fd74a33f85986f1ea124fba66d1a15b5950f
1
[ "7116252" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 1014 x 7018 Think step by step. ## Here is the solution 7116252 ## Here are the current task instructions Count h...
verification
[ { "end_idx": 2793, "explanation": "The model is acknowledging the need to ensure its previous calculations were correct, reflecting a self-verification step.", "idx": 0, "span": "Let me check my calculations again to make sure I didn't make a mistake.", "start_idx": 2721 }, { "end_idx": ...
0
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{ "answer": "7116252", "problem": "What is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.", "solution": "7116252" }
7116252
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 1014 by 7018. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ...
[ "<think>\nOkay, so I need to multiply 1014 by 7018. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec...
9ae7734e6d4e245781734e1ce6e41be6b3f1c4393303f1e5283239b0930cad5c
b83a891f234a26c097440bfcdee9f4d5833c37332c18c3d16d0b4da8b5d91a4e
2011ce3c349cb8f96857b179dbe2fd74a33f85986f1ea124fba66d1a15b5950f
1
[ "7116252" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 1014 x 7018 Think step by step. ## Here is the solution 7116252 ## Here are the current task instructions Cou...
subgoals
[ { "end_idx": 139, "explanation": "This indicates the model is setting a sub-goal of figuring out the approach to take.", "idx": 0, "span": "Let me think about how to approach this.", "start_idx": 99 }, { "end_idx": 442, "explanation": "This shows a sub-goal of organizing the numbers ...
0
17
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{ "answer": "21809400", "problem": "What is the solution to the long multiplication equation below?\n\n3345 x 6520\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3345 x 6520\n\nThink step by step.", "solution": "21809400" }
21809400
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3345 x 6520\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 3345 by 6520. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without getting ...
[ "<think>\nOkay, so I need to multiply 3345 by 6520. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without getting lost i...
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cc64dde1d4ce5a46f25ce41f178defe29363a017bab32ddb20167da48970b6cc
1
[ "21809400" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 3345 x 6520 Think step by step. ## Here is the solution 21809400 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 2058, "explanation": "This indicates the model is rechecking its previous calculations to confirm accuracy.", "idx": 0, "span": "Let me check that addition again to make sure I didn't make a mistake.", "start_idx": 1988 }, { "end_idx": 2263, "explanation": "This shows th...
0
10
99
{ "answer": "33130300", "problem": "What is the solution to the long multiplication equation below?\n\n9275 x 3572\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9275 x 3572\n\nThink step by step.", "solution": "33130300" }
33130300
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9275 x 3572\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 9275 by 3572. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces...
[ "<think>\nOkay, so I need to multiply 9275 by 3572. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n...
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5c8988a856dd951e684dd7756f10caccb99943d8bccbe129de1a00908dbb668d
ac960ec003b1eddcd90ebec8b1a4d7ac82a75c4d33eb398837cc2dc8cfdd6719
0
[ "33140300" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 9275 x 3572 Think step by step. ## Here is the solution 33130300 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 310, "explanation": "The model sets a sub-goal to recall the process of long multiplication before proceeding.", "idx": 0, "span": "Let me try to recall the exact process.", "start_idx": 271 }, { "end_idx": 392, "explanation": "This indicates a planning step where the mo...
0
9
34
{ "answer": "32006344", "problem": "What is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.", "solution": "32006344" }
32006344
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 6508 by 4918. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 6508 by 4918. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
992aa76eb41dd9c0d412124f3b536a94a7a322a8a17c9b9e0fa269f4c4d86f10
f58370259d1498eb0d35e652106622af3a632f04848a87bb813d71f1bab46652
c9e53082da38d0a27750cb13b30472f9f53c85ece90fa556089c00e6c83de83d
0
[ "31906344" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6508 x 4918 Think step by step. ## Here is the solution 32006344 ## Here are the current task instructions Count ...
verification
[ { "end_idx": 1671, "explanation": "The model checks its calculation of 6508 x 8.", "idx": 0, "span": "Wait, let me check that again.", "start_idx": 1641 }, { "end_idx": 1965, "explanation": "The model is confirming the result of 6508 x 8.", "idx": 1, "span": "Okay, that seems...
0
18
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{ "answer": "32006344", "problem": "What is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.", "solution": "32006344" }
32006344
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 6508 by 4918. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 6508 by 4918. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
992aa76eb41dd9c0d412124f3b536a94a7a322a8a17c9b9e0fa269f4c4d86f10
f58370259d1498eb0d35e652106622af3a632f04848a87bb813d71f1bab46652
c9e53082da38d0a27750cb13b30472f9f53c85ece90fa556089c00e6c83de83d
0
[ "31906344" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6508 x 4918 Think step by step. ## Here is the solution 32006344 ## Here are the current task instructions Count how m...
backtracking
[ { "end_idx": 1032, "explanation": "The model acknowledges it might have approached the multiplication incorrectly and reflects on the proper method.", "idx": 0, "span": "Wait, but actually, in standard long multiplication, you usually take the bottom number and multiply each digit by the top number,...
0
20
7
{ "answer": "28848365", "problem": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.", "solution": "28848365" }
28848365
{ "gen_args_0": { "arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n", "arg_1": { "do_samp...
[ [ "<think>\nOkay, so I need to multiply 6461 by 4465. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr...
[ "<think>\nOkay, so I need to multiply 6461 by 4465. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r...
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e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888
1
[ "28848365" ]
TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples
An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it. ## Here is the question What is the solution to the long multiplication equation below? 6461 x 4465 Think step by step. ## Here is the solution 28848365 ## Here are the current task instructions Co...
subgoals
[ { "end_idx": 336, "explanation": "The model sets a sub-goal to recall the steps involved in long multiplication.", "idx": 0, "span": "Let me try to recall the exact steps.", "start_idx": 299 }, { "end_idx": 418, "explanation": "The model creates a sub-goal to write down the numbers a...
0
19