Split (1)

train · 1.2k rows

doc_id int64 0 99	doc dict	target stringclasses 100 values	arguments dict	resps listlengths 1 1	filtered_resps listlengths 1 1	doc_hash stringclasses 100 values	prompt_hash stringclasses 100 values	target_hash stringclasses 100 values	exact_match int64 0 1	extracted_answers listlengths 1 1	repo stringclasses 4 values	behavior_prompt stringlengths 2.23k 114k	behavior_type stringclasses 3 values	behavior_spans listlengths 0 91	behavior_count int64 0 91
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 multiplication problem \\(4098 \\times 1982\\) 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 4098\n × 1982\n ```\n\n2. **Multiply 4098 by each digit of 1982, starting ...	[ "To solve the multiplication problem \\(4098 \\times 1982\\) 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 4098\n × 1982\n ```\n\n2. **Multiply 4098 by each digit of 1982, starting from t...	2bda6e069b3b7dfaa5fb9903dd50e880fba91bf478b2931f1270ad0dc8d4c2e1	c7869162a3c6102a52b8d5d3e2aa9870ceec3a260b3a6abb17715c53d0394c7d	054b3571eb9d73a52c39b2f322ffcc6d5d52a0a7a2f494c7eb36b50d41bc2208	0	[ "To solve the multiplication problem \\(4098 \\times 1982\\) 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 4098\n × 1982\n ```\n\n2. **Multiply 4098 by each digit of 1982, 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? 4098 x 1982 Think step by step. ## Here is the solution 8122236 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 140, "explanation": "This indicates the intention to create sub-goals by breaking down the problem into smaller steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps", "start_idx": 84 }, { "end_idx": 321, "explanation": "This sets a clear s...	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 multiplication problem \\(7039 \\times 4694\\) 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 7039\n × 4694\n ```\n\n2. **Multiply the top number by each digit of the b...	[ "To solve the multiplication problem \\(7039 \\times 4694\\) 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 7039\n × 4694\n ```\n\n2. **Multiply the top number by each digit of the bottom ...	3c91ed3eb0a59a040cda0c065f937e99303d3135742aa0e0e22e496a02e82a6c	857ebaa120403a9bd2278102f222137bac5cc6cd03dac9084e0782b181acfd3d	1dba8f47a0364f3b46d3c7346e1b3d6705fb8bd49b00ff19b5c18ee30771e9da	0	[ "To solve the multiplication problem \\(7039 \\times 4694\\) 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 7039\n × 4694\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? 7039 x 4694 Think step by step. ## Here is the solution 33041066 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 141, "explanation": "This indicates the creation of a sub-goal by stating that the problem can be decomposed into smaller steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 345, "explanation": "This ins...	5
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...	[ [ "To solve the multiplication of 6503 by 4868 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 6503\n x 4868\n ________\n```\n\n2. **Multiply 6503 by each digit of 4868, starting from the ri...	[ "To solve the multiplication of 6503 by 4868 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 6503\n x 4868\n ________\n```\n\n2. **Multiply 6503 by each digit of 4868, starting from the rightmos...	d276285aaae2a9b79540e0ed36f80d1c65ceb3cae93d73c576eeb27a2f25c375	71ba49b1acc92f8331f0988bedd91e30f7b9e69b63c1b48c88c3cf4a7effcb98	32f888cfeec8e8dbde8e50461a0c07c6b2e37d513f47da71817e0f41e482c637	0	[ "To solve the multiplication of 6503 by 4868 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 6503\n x 4868\n ________\n```\n\n2. **Multiply 6503 by each digit of 4868, 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? 6503 x 4868 Think step by step. ## Here is the solution 31656604 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This phrase indicates the model's 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 se...	5
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...	[ [ "To solve the multiplication of 3311 by 5214 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 3311\n x 5214\n ________\n```\n\n2. **Multiply 3311 by each digit of 5214, starting from the ri...	[ "To solve the multiplication of 3311 by 5214 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 3311\n x 5214\n ________\n```\n\n2. **Multiply 3311 by each digit of 5214, starting from the rightmos...	6d7864f3585c016284622d378823cb2e5411b585199c804d6cabd95555e2daf1	8cb6afcb9ac83c004a43906bd619164a60827b6a1f67133ebc2f38e84db92ef2	5692a05a45629d81f9b644e78f44bd720ea1a8e540c340b35031865f939b1049	0	[ "To solve the multiplication of 3311 by 5214 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 3311\n x 5214\n ________\n```\n\n2. **Multiply 3311 by each digit of 5214, 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? 3311 x 5214 Think step by step. ## Here is the solution 17263554 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This snippet indicates that the model is consciously dividing the problem into sub-goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "This shows the model setti...	5
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...	[ [ "To solve the multiplication of 2983 by 9360 using long multiplication, we can break it down into steps. Here's how you can do it:\n\n1. Write the numbers in a column:\n\n```\n 2983\n x 9360\n ________\n```\n\n2. Multiply 2983 by each digit of 9360, starting from the rightmost digit:\n\n -...	[ "To solve the multiplication of 2983 by 9360 using long multiplication, we can break it down into steps. Here's how you can do it:\n\n1. Write the numbers in a column:\n\n```\n 2983\n x 9360\n ________\n```\n\n2. Multiply 2983 by each digit of 9360, starting from the rightmost digit:\n\n - **Mul...	049b734fc33b4d136be3940d181cef03c74ac3683c0b8e7532b8a741d83152e9	8a73ad045d104953ef589b56ac66669f0147b013b439daba0d0e513b5d9b5f41	1524b58d71fd3c67a0c7fa073af5f0a366117855afc1af1e1a3a3f74fcf69775	0	[ "To solve the multiplication of 2983 by 9360 using long multiplication, we can break it down into steps. Here's how you can do it:\n\n1. Write the numbers in a column:\n\n```\n 2983\n x 9360\n ________\n```\n\n2. Multiply 2983 by each digit of 9360, starting from the rightmost digit:\n\n - **Mul...	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? 2983 x 9360 Think step by step. ## Here is the solution 27920880 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 103, "explanation": "This indicates the intent to create sub-goals by breaking down the problem into smaller, manageable steps.", "idx": 0, "span": "we can break it down into steps.", "start_idx": 71 }, { "end_idx": 289, "explanation": "This sets a sub-goal of multiplyin...	6
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...	[ [ "To solve the multiplication of 7222 by 4993 using long multiplication, we can break it down into steps as follows:\n\n1. Write the numbers in columns:\n\n```\n 7222\n x 4993\n ________\n```\n\n2. Multiply 7222 by each digit of 4993, starting from the rightmost digit:\n\n - **Multiply by 3...	[ "To solve the multiplication of 7222 by 4993 using long multiplication, we can break it down into steps as follows:\n\n1. Write the numbers in columns:\n\n```\n 7222\n x 4993\n ________\n```\n\n2. Multiply 7222 by each digit of 4993, starting from the rightmost digit:\n\n - **Multiply by 3 (the ...	ecdf1cd125c43607d77629ed85af3c399c3128f4b19097218c6d2d3c362af5b0	f81a68b0aad63474c340b8e091c2b768b79055538ecc2e0fc9268096d2306716	48db18f274b8d04206205e1fbfb74aba904b40b01b0b5ebaa0d05ef456ec7804	0	[ "To solve the multiplication of 7222 by 4993 using long multiplication, we can break it down into steps as follows:\n\n1. Write the numbers in columns:\n\n```\n 7222\n x 4993\n ________\n```\n\n2. Multiply 7222 by each digit of 4993, 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? 7222 x 4993 Think step by step. ## Here is the solution 36059446 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 114, "explanation": "This indicates the intention to divide the problem into smaller manageable parts.", "idx": 0, "span": "we can break it down into steps as follows:", "start_idx": 71 }, { "end_idx": 273, "explanation": "This sets a sub-goal of multiplying by each digi...	4
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...	[ [ "To solve the multiplication of 7655 by 8914 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 7655\n x 8914\n --------\n```\n\n2. **Multiply 7655 by each digit of 8914, starting from the ri...	[ "To solve the multiplication of 7655 by 8914 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 7655\n x 8914\n --------\n```\n\n2. **Multiply 7655 by each digit of 8914, starting from the rightmos...	ef59a8900d35a71122cbc9acdfde2440b2dd1081a3461bf41f6f80be145f7088	af948f2fa1912b2733cf26fe9d259e8e500fe23e88d83cff3f924c74fdde9c25	c8d4d0fe0ac64b677a0b6ecf701b930d320602b1373a31a2f1146c0d0857a5c4	0	[ "To solve the multiplication of 7655 by 8914 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 7655\n x 8914\n --------\n```\n\n2. **Multiply 7655 by each digit of 8914, 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? 7655 x 8914 Think step by step. ## Here is the solution 68236670 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This indicates the intention to break the problem into sub-goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "This sets the sub-goal of multiplying by each digi...	5
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...	[ [ "To solve the multiplication of 8281 by 9949 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 8281\n x 9949\n ________\n```\n\n2. Multiply 8281 by each digit of 9949, starting from the rightmost digit:\n\n - **Multi...	[ "To solve the multiplication of 8281 by 9949 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 8281\n x 9949\n ________\n```\n\n2. Multiply 8281 by each digit of 9949, starting from the rightmost digit:\n\n - **Multiply by...	556e1b584060b1766b49077dd0f14d86af4a067fb0f87ed09535fd6d343b1d3d	e8e0c847b98c0118be14f4cd4fa70219bc8b750651d16cf8652f9bb861940ab9	d407b925af7e81140d15fbd20c4427ba3cbbed6c6bd2008f2136f181c51d14d5	0	[ "To solve the multiplication of 8281 by 9949 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 8281\n x 9949\n ________\n```\n\n2. Multiply 8281 by each digit of 9949, starting from the rightmost digit:\n\n - **Multiply by...	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? 8281 x 9949 Think step by step. ## Here is the solution 82387669 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 319, "explanation": "The model sets a sub-goal to multiply the first digit of 9949.", "idx": 0, "span": "Multiply by 9 (ones place):", "start_idx": 292 }, { "end_idx": 418, "explanation": "The model sets a sub-goal to multiply the second digit of 9949, treating it approp...	4
19	{ "answer": "30198996", "problem": "What is the solution to the long multiplication equation below?\n\n6339 x 4764\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6339 x 4764\n\nThink step by step.", "solution": "30198996" }	30198996	{ "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\n6339 x 4764\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(6339 \\times 4764\\) 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 6339\n × 4764\n ```\n\n2. **Multiply the top number by each digit of the b...	[ "To solve the multiplication problem \\(6339 \\times 4764\\) 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 6339\n × 4764\n ```\n\n2. **Multiply the top number by each digit of the bottom ...	bf7ac6a89ccec0a5187f14dafb8c6559cacf7d0b55b54355bcd41ff11e65cafc	dba7e6306e26a0d9bacc926d8ac32c2f1bd06db73eed8b66a08fcd46ca34c755	8ec945bd7a4da696c39823dad39685086470b5c9e69db3e00aa4a3f7509aa5c1	0	[ "To solve the multiplication problem \\(6339 \\times 4764\\) 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 6339\n × 4764\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? 6339 x 4764 Think step by step. ## Here is the solution 30198996 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 141, "explanation": "This snippet indicates that the model is planning to create sub-goals by breaking down the problem into smaller steps, which is a clear indication of sub-goal setting.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": ...	4
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...	[ [ "To solve the multiplication problem \\(7865 \\times 2546\\) 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 7865\n × 2546\n ```\n\n2. **Multiply 7865 by each digit of 2546, starting ...	[ "To solve the multiplication problem \\(7865 \\times 2546\\) 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 7865\n × 2546\n ```\n\n2. **Multiply 7865 by each digit of 2546, starting from t...	0c0484d0744c56863a540f961b0d5da34877c5a472676d49b48d825ddda11f19	0418beb43b585e425d4a64ec7cc11c32ed1c05d37cf38d3cf0005789a65bb832	222f094896bd55c0007d87b49f9eb2017ae308e1d8b66d6bbe335daa447b9c4f	0	[ "To solve the multiplication problem \\(7865 \\times 2546\\) 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 7865\n × 2546\n ```\n\n2. **Multiply 7865 by each digit of 2546, 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? 7865 x 2546 Think step by step. ## Here is the solution 20024290 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 141, "explanation": "This sentence sets up the reasoning by explicitly stating that the problem will be divided into smaller steps, which is indicative of creating a sub-goal.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { ...	5
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...	[ [ "To solve the multiplication of 7924 by 4823 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 7924\n x 4823\n --------\n```\n\n2. **Multiply 7924 by each digit of 4823, starting from the ri...	[ "To solve the multiplication of 7924 by 4823 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 7924\n x 4823\n --------\n```\n\n2. **Multiply 7924 by each digit of 4823, starting from the rightmos...	2dafa663e915dad11dbbd24f4056e4daf7677826398a22dd60b765a9a4376cd4	d9fe5d10c14aaa6aa282cbfc04c5788c50bbff565dc5fa4fb65bbfb6939fc36d	bc7e133737810d899fdd7fe3dc50e1d23c2e0d51aacd1057d22fa2d1f6eb6686	0	[ "To solve the multiplication of 7924 by 4823 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 7924\n x 4823\n --------\n```\n\n2. **Multiply 7924 by each digit of 4823, 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? 7924 x 4823 Think step by step. ## Here is the solution 38217452 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This snippet indicates that the model is setting a sub-goal by acknowledging the need to divide the overall multiplication task into smaller steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end...	5
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...	[ [ "To solve the multiplication problem \\(7288 \\times 2198\\) 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 7288\n × 2198\n ```\n\n2. **Multiply the top number by each digit of the b...	[ "To solve the multiplication problem \\(7288 \\times 2198\\) 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 7288\n × 2198\n ```\n\n2. **Multiply the top number by each digit of the bottom ...	a51c0957f50fa15eafbff2921eb312d3c27cbf12236a91343141281c003a8ed2	8bdcd4e13e8dcbd9737fc289780913164ac63514d397a4a5c14391f5c7056a4f	9206edebcc38e5031f20dd0a3b4f4b6deebc23e097872bd701e91ea7b807d576	0	[ "To solve the multiplication problem \\(7288 \\times 2198\\) 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 7288\n × 2198\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? 7288 x 2198 Think step by step. ## Here is the solution 16019024 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 141, "explanation": "This phrase indicates the intention to subdivide the overall multiplication task into smaller sub-goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 345, "explanation": "This signif...	5
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 multiplication problem \\(3345 \\times 6520\\) step by step, we can break it down as follows:\n\n1. Break down the numbers: \n We can break down the multiplication into more manageable parts by distributing the multiplication over addition. However, in this case, it's simpler to multiply ...	[ "To solve the multiplication problem \\(3345 \\times 6520\\) step by step, we can break it down as follows:\n\n1. Break down the numbers: \n We can break down the multiplication into more manageable parts by distributing the multiplication over addition. However, in this case, it's simpler to multiply direct...	743b265faf6467497c9406ceacb0e03377b2a8d1e1843eab587e81a0a9e939cb	624940a7c23e528ab428c0e24812155f3a1abdc71aefe45959e3b495807093ac	cc64dde1d4ce5a46f25ce41f178defe29363a017bab32ddb20167da48970b6cc	0	[ "To solve the multiplication problem \\(3345 \\times 6520\\) step by step, we can break it down as follows:\n\n1. Break down the numbers: \n We can break down the multiplication into more manageable parts by distributing the multiplication over addition. However, in this case, it's simpler to multiply direct...	TAUR-dev/evals__distilled_4o__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? 3345 x 6520 Think step by step. ## Here is the solution 21809400 ## Here are the current task instructions Count how m...	backtracking	[ { "end_idx": null, "explanation": "This indicates a correction from the earlier computed result of 21817400 to a definitive final answer of 21809400, suggesting the model recognized an error in its previous arithmetic and abandoned that result in favor of a new computation.", "idx": 0, "span": "Ther...	1
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...	[ [ "To solve the multiplication of 9275 by 3572 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 9275\n x 3572\n ________\n```\n\n2. **Multiply 9275 by each digit of 3572, starting from the ri...	[ "To solve the multiplication of 9275 by 3572 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 9275\n x 3572\n ________\n```\n\n2. **Multiply 9275 by each digit of 3572, starting from the rightmos...	3c81eef7624b254e40f20cf11ddb9ac6a3a843b79f2b65a31555f9e8992d07d0	5c8988a856dd951e684dd7756f10caccb99943d8bccbe129de1a00908dbb668d	ac960ec003b1eddcd90ebec8b1a4d7ac82a75c4d33eb398837cc2dc8cfdd6719	0	[ "To solve the multiplication of 9275 by 3572 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 9275\n x 3572\n ________\n```\n\n2. **Multiply 9275 by each digit of 3572, 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? 9275 x 3572 Think step by step. ## Here is the solution 33130300 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This indicates the intention 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 defines a clear su...	5
60	{ "answer": "28932650", "problem": "What is the solution to the long multiplication equation below?\n\n6925 x 4178\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6925 x 4178\n\nThink step by step.", "solution": "28932650" }	28932650	{ "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\n6925 x 4178\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication of 6925 by 4178 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 6925\n x 4178\n ________\n```\n\n2. **Multiply 6925 by each digit of 4178, starting from the ri...	[ "To solve the multiplication of 6925 by 4178 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 6925\n x 4178\n ________\n```\n\n2. **Multiply 6925 by each digit of 4178, starting from the rightmos...	390e2009a687a42c7464961cf687708fab8d10b94ed9a84eb485159fe19738d7	61918a826cde86b9db6c071170ab772035497f1dfe4fd98474d452c10d39f07f	ed05cd49f7024716052d13184f4c261687acf2d59f25d8c5d75c5dfcd049b203	0	[ "To solve the multiplication of 6925 by 4178 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 6925\n x 4178\n ________\n```\n\n2. **Multiply 6925 by each digit of 4178, 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? 6925 x 4178 Think step by step. ## Here is the solution 28932650 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This explicitly states the intention to create sub-goals by breaking down 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 clear step-b...	6
61	{ "answer": "9849103", "problem": "What is the solution to the long multiplication equation below?\n\n5797 x 1699\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5797 x 1699\n\nThink step by step.", "solution": "9849103" }	9849103	{ "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\n5797 x 1699\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(5797 \\times 1699\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 5797 by each digit of 1699, starting from the rightmost digit, and then add up all t...	[ "To solve the multiplication problem \\(5797 \\times 1699\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 5797 by each digit of 1699, starting from the rightmost digit, and then add up all the res...	e6dff2315c327c9265214f705753796a0425499cb06183d489680628adb48041	1250719f34ac3854505f83869e310e3701d4344792c3b66aac2082ae9e22ecd2	3fb3988c5521f2d0bf4de16b2630cbbdcab505a9b0dd2b1c5712884bd8ed92c1	0	[ "To solve the multiplication problem \\(5797 \\times 1699\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 5797 by each digit of 1699, starting from the rightmost digit, and then add up all the res...	TAUR-dev/evals__distilled_4o__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? 5797 x 1699 Think step by step. ## Here is the solution 9849103 ## Here are the current task instructions Count how ma...	backtracking	[ { "end_idx": null, "explanation": "The model arrives at an incorrect final answer (9829203 instead of 9849103), which indicates a dead end in reasoning. This suggests that the model implicitly recognizes the need to revisit and correct its previous calculations or methods. The reliance on the phrase 'Thus' ...	1
61	{ "answer": "9849103", "problem": "What is the solution to the long multiplication equation below?\n\n5797 x 1699\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5797 x 1699\n\nThink step by step.", "solution": "9849103" }	9849103	{ "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\n5797 x 1699\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(5797 \\times 1699\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 5797 by each digit of 1699, starting from the rightmost digit, and then add up all t...	[ "To solve the multiplication problem \\(5797 \\times 1699\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 5797 by each digit of 1699, starting from the rightmost digit, and then add up all the res...	e6dff2315c327c9265214f705753796a0425499cb06183d489680628adb48041	1250719f34ac3854505f83869e310e3701d4344792c3b66aac2082ae9e22ecd2	3fb3988c5521f2d0bf4de16b2630cbbdcab505a9b0dd2b1c5712884bd8ed92c1	0	[ "To solve the multiplication problem \\(5797 \\times 1699\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 5797 by each digit of 1699, starting from the rightmost digit, and then add up all the res...	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? 5797 x 1699 Think step by step. ## Here is the solution 9849103 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 140, "explanation": "This phrase explicitly indicates the intention to create sub-goals by breaking the problem into smaller parts.", "idx": 0, "span": "break it down into smaller, more manageable steps", "start_idx": 91 }, { "end_idx": 203, "explanation": "This heading ...	4
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 multiplication problem \\(2959 \\times 1340\\) 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. Specifically, we can express 1340 as \\(1300 + 40\\).\n\n2. **M...	[ "To solve the multiplication problem \\(2959 \\times 1340\\) 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. Specifically, we can express 1340 as \\(1300 + 40\\).\n\n2. **Multipl...	a3a3088a8271e7001cbea1a325b6e207c9964ef8d84c3ec428d6ffc7bbcfe9fc	a8bf3cf0445d3579d891c77f85b1aed84ea77006eb776b4c3609c12218562b1f	b06ba674928fef3a5aec17d8e09e50a8973c0f21446505e083325167602cf122	0	[ "To solve the multiplication problem \\(2959 \\times 1340\\) 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. Specifically, we can express 1340 as \\(1300 + 40\\).\n\n2. **Multipl...	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? 2959 x 1340 Think step by step. ## Here is the solution 3965060 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 103, "explanation": "This introduces the approach of breaking down the multiplication problem, setting the first sub-goal.", "idx": 0, "span": "we can break it down as follows:", "start_idx": 71 }, { "end_idx": 240, "explanation": "This indicates the intention to break d...	4
23	{ "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 multiplication problem \\(5264 \\times 4502\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Multiplication\n\nFirst, express 4502 as \\(4500 + 2\\). This allows us to use the distributive property of ...	[ "To solve the multiplication problem \\(5264 \\times 4502\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Multiplication\n\nFirst, express 4502 as \\(4500 + 2\\). This allows us to use the distributive property of multip...	467efaefcd2a6254a48dba49c96348a16741d2a29cf26f9fc9ebd5ef7119ef38	d4380623017316755389cf282ea99f42c9ca3d79503de14cda36296643bdb7f3	9acf84ffc74ac729ed3a04cb797425abad757abe309f5ea3cc994b6eb67415bf	1	[ "23698528" ]	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? 5264 x 4502 Think step by step. ## Here is the solution 23698528 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 141, "explanation": "This introduces the idea of breaking the problem into sub-goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 248, "explanation": "The model sets a sub-goal to simplify the number be...	5
52	{ "answer": "10700193", "problem": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.", "solution": "10700193" }	10700193	{ "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\n8353 x 1281\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication of 8353 by 1281 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. Write the numbers in a column:\n\n ```\n 8353\n x 1281\n ```\n\n2. Multiply 8353 by the rightmost digit of 1281 (which is 1):\n\n ```\n 8353\n x 1\n ...	[ "To solve the multiplication of 8353 by 1281 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. Write the numbers in a column:\n\n ```\n 8353\n x 1281\n ```\n\n2. Multiply 8353 by the rightmost digit of 1281 (which is 1):\n\n ```\n 8353\n x 1\n ------...	fc0ec46fe96c64e623331aa74a185fc8812209e1c7a801b0389a150ec142ae52	b800e26ec7b9d1399b91617bf33592657e2751990361eccddfb11c80bf376b40	32ba40a01065ff199d363f792cfe3e19a772b4b7ed01667d2747a648f59aeace	0	[ "To solve the multiplication of 8353 by 1281 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. Write the numbers in a column:\n\n ```\n 8353\n x 1281\n ```\n\n2. Multiply 8353 by the rightmost digit of 1281 (which is 1):\n\n ```\n 8353\n x 1\n ------...	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? 8353 x 1281 Think step by step. ## Here is the solution 10700193 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 100, "explanation": "This statement sets the overall task goal of solving the multiplication step by step.", "idx": 0, "span": "To solve the multiplication of 8353 by 1281 step by step, we can use the long multiplication method.", "start_idx": 0 }, { "end_idx": 261, "exp...	5
44	{ "answer": "35353296", "problem": "What is the solution to the long multiplication equation below?\n\n5808 x 6087\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5808 x 6087\n\nThink step by step.", "solution": "35353296" }	35353296	{ "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\n5808 x 6087\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication of 5808 by 6087 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 5808\n x 6087\n ________\n```\n\n2. **Multiply 5808 by each digit of 6087, starting from the ri...	[ "To solve the multiplication of 5808 by 6087 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 5808\n x 6087\n ________\n```\n\n2. **Multiply 5808 by each digit of 6087, starting from the rightmos...	a5ca9f56bc05f63d0fd55839c3ab340481dad3e0aba1bd147b2e43259a14369d	8321673f0ead2c06fff25e116fb8d20b34d1fe07f299b49bb1dda223c6e27c4a	74503802c5cc5bd78384b622bbdcff0b800e42d98db04ad924cc7e074f94c9a5	0	[ "To solve the multiplication of 5808 by 6087 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 5808\n x 6087\n ________\n```\n\n2. **Multiply 5808 by each digit of 6087, 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? 5808 x 6087 Think step by step. ## Here is the solution 35353296 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "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": 71 }, { "end_idx": 313, "explanation": "This line sets a sub-goal of multiplying by each ...	6
8	{ "answer": "19675775", "problem": "What is the solution to the long multiplication equation below?\n\n3877 x 5075\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3877 x 5075\n\nThink step by step.", "solution": "19675775" }	19675775	{ "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\n3877 x 5075\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(3877 \\times 5075\\) 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 3877\n × 5075\n ```\n\n2. Multiply 3877 by each digit of 5075, starting from the rightmost digit:\n\n ...	[ "To solve the multiplication problem \\(3877 \\times 5075\\) 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 3877\n × 5075\n ```\n\n2. Multiply 3877 by each digit of 5075, starting from the rightmost digit:\n\n - **...	2b3ef1ab7c2bf0ca8f488ba473346b768b779366e3feaf50b6a0e7031430b162	908e543b85e36bb03a03ea787911e023ccbe8affd4bb859d6aa03d494178f3cd	38b4bab79942a4fed0c1f2af71c965c30f3dd4b84e22b76c8aadae05e799c074	0	[ "To solve the multiplication problem \\(3877 \\times 5075\\) 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 3877\n × 5075\n ```\n\n2. Multiply 3877 by each digit of 5075, starting from the rightmost digit:\n\n - **...	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? 3877 x 5075 Think step by step. ## Here is the solution 19675775 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 290, "explanation": "This is setting up a sub-goal of multiplying the main number by each digit of the second number.", "idx": 0, "span": "Multiply 3877 by each digit of 5075, starting from the rightmost digit:", "start_idx": 219 }, { "end_idx": 341, "explanation": "Here...	6
33	{ "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...	261157a9454e089902bcab95764c89dbcba1ea62406a3af06816ea4bef76b224	ade1a318f1b23bc8ca582324b59692076e303298183a7d87ff74c37adf460a39	44917f56b50fe98a82ccd5cf367890b4c55f52a5fa0d8435c9a994ab706c8007	1	[ "55158120" ]	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? 6068 x 9090 Think step by step. ## Here is the solution 55158120 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 103, "explanation": "This indicates the intent to create sub-goals to simplify the calculation.", "idx": 0, "span": "we can break it down as follows:", "start_idx": 71 }, { "end_idx": null, "explanation": "This shows that the model is breaking down the number into parts ...	5
87	{ "answer": "6278208", "problem": "What is the solution to the long multiplication equation below?\n\n3648 x 1721\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3648 x 1721\n\nThink step by step.", "solution": "6278208" }	6278208	{ "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\n3648 x 1721\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(3648 \\times 1721\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 3648 by each digit of 1721, starting from the rightmost digit, and then add up all t...	[ "To solve the multiplication problem \\(3648 \\times 1721\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 3648 by each digit of 1721, starting from the rightmost digit, and then add up all the res...	67d599ec90538903a8260469a10ff9f26cfcb525ad91dc2f77b7119a21b05659	040d6556224f4fdc2f02e68d1bbb9d2312090f527d67a583eba81aadd7890046	bb1803e8b1294e2e98c1bccdee6b98bef0785d5f4e87f1a0c0792d20a4b6dff6	0	[ "To solve the multiplication problem \\(3648 \\times 1721\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 3648 by each digit of 1721, starting from the rightmost digit, and then add up all the res...	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? 3648 x 1721 Think step by step. ## Here is the solution 6278208 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 141, "explanation": "This statement indicates the intention to create sub-goals by breaking the main problem into smaller tasks.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 314, "explanation": "This sho...	5
83	{ "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 multiplication of 6960 by 6248 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 6960\n x 6248\n --------\n```\n\n2. **Multiply 6960 by each digit of 6248, starting from the ri...	[ "To solve the multiplication of 6960 by 6248 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 6960\n x 6248\n --------\n```\n\n2. **Multiply 6960 by each digit of 6248, starting from the rightmos...	a7a7015c27a5067b52a18e4897f8c3fd98e1cec3982670a3c67f1ad26e8adfdb	664cf68f804a4982b04c02d04afc9d97b00ebab63938714ba2f3fc668ab5d5ca	24984b8feccae18537d2780beb3f3e448662df5de9e356dbe300ba27dd46075f	0	[ "To solve the multiplication of 6960 by 6248 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 6960\n x 6248\n --------\n```\n\n2. **Multiply 6960 by each digit of 6248, 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? 6960 x 6248 Think step by step. ## Here is the solution 43486080 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 127, "explanation": "This statement sets up 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 phrase ind...	5
49	{ "answer": "15006852", "problem": "What is the solution to the long multiplication equation below?\n\n4284 x 3503\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n4284 x 3503\n\nThink step by step.", "solution": "15006852" }	15006852	{ "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\n4284 x 3503\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(4284 \\times 3503\\) 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 4284\n × 3503\n ```\n\n2. **Multiply 4284 by each digit of 3503, starting ...	[ "To solve the multiplication problem \\(4284 \\times 3503\\) 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 4284\n × 3503\n ```\n\n2. **Multiply 4284 by each digit of 3503, starting from t...	1bc5e7e20241153e8d8ab7e48776b525515e9282335286264d9b18410786c1de	56205bc3f05abaabc60f1c1f6195b884532807ee5b8b63c1b641bc90f2a9cf81	f0f4713006feaa86f88a99dfe7a9034edae6fe57c4acc411c505bd3091d1785c	0	[ "To solve the multiplication problem \\(4284 \\times 3503\\) 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 4284\n × 3503\n ```\n\n2. **Multiply 4284 by each digit of 3503, 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? 4284 x 3503 Think step by step. ## Here is the solution 15006852 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 140, "explanation": "This indicates that the model plans to divide the main task into smaller stages, hence creating a sub-goal.", "idx": 0, "span": "we can break it down into smaller, more manageable steps", "start_idx": 84 }, { "end_idx": 322, "explanation": "This show...	4
80	{ "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 multiplication problem \\(5993 \\times 2161\\) 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 5993\n × 2161\n ```\n\n2. **Multiply 5993 by each digit of 2161, starting ...	[ "To solve the multiplication problem \\(5993 \\times 2161\\) 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 5993\n × 2161\n ```\n\n2. **Multiply 5993 by each digit of 2161, starting from t...	db918c49175bf12e3a0a4a9a8b4c675f8eab52359d4996b05727f1a63b221e4b	90968395f8f17ea1ec8dba3c8b5f16cf9cf763299ebd4cbf679747d9689c06d0	f59f9b0f4be6d28c920a2be502d4e00b31054875d98e89b1f30a4d4f0c15694a	0	[ "To solve the multiplication problem \\(5993 \\times 2161\\) 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 5993\n × 2161\n ```\n\n2. **Multiply 5993 by each digit of 2161, 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? 5993 x 2161 Think step by step. ## Here is the solution 12950873 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 141, "explanation": "This indicates a plan to create sub-goals by breaking the main problem into smaller steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 373, "explanation": "The model is focusing on ...	6
92	{ "answer": "10219660", "problem": "What is the solution to the long multiplication equation below?\n\n2255 x 4532\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2255 x 4532\n\nThink step by step.", "solution": "10219660" }	10219660	{ "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\n2255 x 4532\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication of 2255 by 4532 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 2255\n x 4532\n ________\n```\n\n2. **Multiply 2255 by each digit of 4532, starting from the ri...	[ "To solve the multiplication of 2255 by 4532 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 2255\n x 4532\n ________\n```\n\n2. **Multiply 2255 by each digit of 4532, starting from the rightmos...	42baba1dae56fdb6336245c8d8efd707c54957604c1381ab74ac060963e20ea1	947a07a2b60255841dbb28c6edd76e3fad187122379a55c4f65324cdc27abb5c	e3bfd31a14f74c0d6f247819191cae9de647edd18165480f5ed8f2abf09d79e8	0	[ "To solve the multiplication of 2255 by 4532 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 2255\n x 4532\n ________\n```\n\n2. **Multiply 2255 by each digit of 4532, 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? 2255 x 4532 Think step by step. ## Here is the solution 10219660 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This indicates the model is creating a sub-goal to simplify the procedure of the long multiplication by outlining manageable steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, ...	5
48	{ "answer": "23078559", "problem": "What is the solution to the long multiplication equation below?\n\n8263 x 2793\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n8263 x 2793\n\nThink step by step.", "solution": "23078559" }	23078559	{ "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\n8263 x 2793\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication of 8263 by 2793 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 8263\n x 2793\n ________\n```\n\n2. **Multiply 8263 by the rightmost digit of 2793 (which is 3)...	[ "To solve the multiplication of 8263 by 2793 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 8263\n x 2793\n ________\n```\n\n2. Multiply 8263 by the rightmost digit of 2793 (which is 3):\n\...	2a5d54f753ddb31c5cfcea054a99313e6f06095d820906f2b3d95c241fe05f1b	4b38e92e388341db87de412d465f6f6b246ac037303086be1f867b11f0df70e9	91d763247a2ecb3091d454d1311743635899ac9b01ecab724a40ab1e11144639	0	[ "To solve the multiplication of 8263 by 2793 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 8263\n x 2793\n ________\n```\n\n2. Multiply 8263 by the rightmost digit of 2793 (which is 3):\n\...	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? 8263 x 2793 Think step by step. ## Here is the solution 23078559 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This indicates the intent to create a sequence of steps, which is a form of sub-goal setting.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 300, "explanation": "This sets a specific t...	6
45	{ "answer": "7566568", "problem": "What is the solution to the long multiplication equation below?\n\n6316 x 1198\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6316 x 1198\n\nThink step by step.", "solution": "7566568" }	7566568	{ "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\n6316 x 1198\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(6316 \\times 1198\\) 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 a column:\n\n ```\n 6316\n x 1198\n ```\n\n2. **Multiply 6316 by each digit of 1198, starting fro...	[ "To solve the multiplication problem \\(6316 \\times 1198\\) 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 a column:\n\n ```\n 6316\n x 1198\n ```\n\n2. **Multiply 6316 by each digit of 1198, starting from the ...	719704f43a2a3c59fb685504fc22f9b0fa70b5667b3ed844a261bc7361bf5aef	43fc9aeedf287d6fb8085c9e2c95bb271d20771a7c988248155f70d368958fa3	5e59d8db6f48aae83fbb2f058174d4855a9683ba8b02042551463ba9a0750db2	0	[ "To solve the multiplication problem \\(6316 \\times 1198\\) 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 a column:\n\n ```\n 6316\n x 1198\n ```\n\n2. **Multiply 6316 by each digit of 1198, starting from 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? 6316 x 1198 Think step by step. ## Here is the solution 7566568 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 140, "explanation": "This explicitly states the intention to break down the task into smaller parts, indicating the creation of sub-goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps", "start_idx": 84 }, { "end_idx": 318, "explanation": ...	5
72	{ "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 multiplication problem \\(4240 \\times 3503\\) step by step, we can break it down using the standard long multiplication method. Here's how it can be done:\n\n1. Break down the numbers: \n We can express 3503 as \\(3000 + 500 + 3\\).\n\n2. Multiply 4240 by each part of 3503:\n\n - *...	[ "To solve the multiplication problem \\(4240 \\times 3503\\) step by step, we can break it down using the standard long multiplication method. Here's how it can be done:\n\n1. Break down the numbers: \n We can express 3503 as \\(3000 + 500 + 3\\).\n\n2. Multiply 4240 by each part of 3503:\n\n - **Multi...	397f4a09f227fa31cf1e7f0713d2abfe8774471e22cac60e47cd1714583c2962	ffcd95257827c53e21c0602c655881f7da044ca6a9dc37545d74a40f761ae8dc	fbff615a503c9a5ea86bbd1b96852205aa2d3afd486e8089c73c0f18942fb0a5	1	[ "14852720" ]	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? 4240 x 3503 Think step by step. ## Here is the solution 14852720 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 137, "explanation": "This indicates a sub-goal of using a specific method to simplify the problem.", "idx": 0, "span": "break it down using the standard long multiplication method", "start_idx": 78 }, { "end_idx": null, "explanation": "Here, the model sets a sub-goal to ...	4
56	{ "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 multiplication of 4754 by 4841 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 4754\n x 4841\n ________\n```\n\n2. **Multiply 4754 by each digit of 4841, starting from the ri...	[ "To solve the multiplication of 4754 by 4841 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 4754\n x 4841\n ________\n```\n\n2. **Multiply 4754 by each digit of 4841, starting from the rightmos...	368f6a6aabd15e04b7148db31667e906fe3090e6c0488bce3e0bd1ae65853e51	c1b4f0a7c1e3c9ea086d0b112965dddabf54afb416a65191c51731f1c81322ac	70195460cd630b6d12ed2f23839396cb8df92a026b29b4b6faf78b2cec5efe62	0	[ "To solve the multiplication of 4754 by 4841 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 4754\n x 4841\n ________\n```\n\n2. **Multiply 4754 by each digit of 4841, 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? 4754 x 4841 Think step by step. ## Here is the solution 23014114 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This snippet indicates the intention to subdivide the problem into smaller segments.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, "explanation": "This shows a clear intention to...	5
73	{ "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 multiplication of 6031 by 5616 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 6031\n x 5616\n ________\n```\n\n2. **Multiply 6031 by each digit of 5616, starting from the ri...	[ "To solve the multiplication of 6031 by 5616 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 6031\n x 5616\n ________\n```\n\n2. **Multiply 6031 by each digit of 5616, starting from the rightmos...	a82c566ededfb8c0d8668342bb1de24d984efe944da0f2031a93e7af6086d7e8	2ced61a220581d2995b090f0bcb5eb43c1e1ae1746cd5afe11b514bb5e704796	a0a16c7944aaf6db5faf120f028e24bed24c21de4a544c4cd350d519c9d49aac	0	[ "To solve the multiplication of 6031 by 5616 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 6031\n x 5616\n ________\n```\n\n2. **Multiply 6031 by each digit of 5616, 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? 6031 x 5616 Think step by step. ## Here is the solution 33870096 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 128, "explanation": "This statement explicitly indicates the intention to divide the problem into smaller steps, showing the initial creation of sub-goals.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": 313, ...	5
78	{ "answer": "19500360", "problem": "What is the solution to the long multiplication equation below?\n\n2040 x 9559\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2040 x 9559\n\nThink step by step.", "solution": "19500360" }	19500360	{ "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\n2040 x 9559\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(2040 \\times 9559\\) step by step, we can use the long multiplication method. Here's how it's done:\n\n1. Write the numbers in a column:\n\n ```\n 2040\n x 9559\n ```\n\n2. **Multiply the top number by each digit of the bottom number, starting from the rig...	[ "To solve the multiplication problem \\(2040 \\times 9559\\) step by step, we can use the long multiplication method. Here's how it's done:\n\n1. Write the numbers in a column:\n\n ```\n 2040\n x 9559\n ```\n\n2. **Multiply the top number by each digit of the bottom number, starting from the rightmost...	7f7303b9bc744b8ec4357c1a3c29e8563e794dda8341d18cf29f58334b98d942	ac107c246a52b63f498c1d24376079fb41e28cc59d6ed19fe7cfb57b24ca4a3f	82cfb3688bbb258c25ae3208e305911d7081671ca949a3565c1e9c7234a18a24	0	[ "To solve the multiplication problem \\(2040 \\times 9559\\) step by step, we can use the long multiplication method. Here's how it's done:\n\n1. Write the numbers in a column:\n\n ```\n 2040\n x 9559\n ```\n\n2. **Multiply the top number by each digit of the bottom number, starting from the rightmost...	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? 2040 x 9559 Think step by step. ## Here is the solution 19500360 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 365, "explanation": "This snippet shows the model creating a sub-goal to multiply by the first digit of the second number.", "idx": 0, "span": "Multiply by 9 (the rightmost digit of 9559):", "start_idx": 321 }, { "end_idx": 506, "explanation": "Here, the model sets anoth...	4
15	{ "answer": "42768863", "problem": "What is the solution to the long multiplication equation below?\n\n9749 x 4387\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9749 x 4387\n\nThink step by step.", "solution": "42768863" }	42768863	{ "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\n9749 x 4387\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication of 9749 by 4387 using long multiplication, we can break it down into several steps. Here's how you can do it:\n\n1. Write the numbers in columns:\n\n```\n 9749\n x 4387\n ________\n```\n\n2. Multiply 9749 by the units digit of 4387 (which is 7):\n\n```\n 974...	[ "To solve the multiplication of 9749 by 4387 using long multiplication, we can break it down into several steps. Here's how you can do it:\n\n1. Write the numbers in columns:\n\n```\n 9749\n x 4387\n ________\n```\n\n2. Multiply 9749 by the units digit of 4387 (which is 7):\n\n```\n 9749\n ...	e0522682ad24b0aed4f34ef1e8e044a1782378c3c2f6927e87d74992c4d96074	becad6f0f4beb11bd65e362810e50a9d19b522aa68cba6c3e14078f3a6060059	a67723669c8da5f5ae8342b6f9d9cf8ab7e0733a595cd9dda6a064a92413a4a1	0	[ "To solve the multiplication of 9749 by 4387 using long multiplication, we can break it down into several steps. Here's how you can do it:\n\n1. Write the numbers in columns:\n\n```\n 9749\n x 4387\n ________\n```\n\n2. Multiply 9749 by the units digit of 4387 (which is 7):\n\n```\n 9749\n ...	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? 9749 x 4387 Think step by step. ## Here is the solution 42768863 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 111, "explanation": "This quote indicates that the model is setting up to approach the problem by creating intermediate steps or sub-goals in the long multiplication process.", "idx": 0, "span": "we can break it down into several steps.", "start_idx": 71 }, { "end_idx": 279,...	6
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 multiplication of 2616 by 4126 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 2616\n x 4126\n ________\n```\n\n2. **Multiply 2616 by each digit of 4126, starting from the ri...	[ "To solve the multiplication of 2616 by 4126 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 2616\n x 4126\n ________\n```\n\n2. **Multiply 2616 by each digit of 4126, starting from the rightmos...	15cdc11d5d1afa4b464374e7f8c43f95af2fb3add173ea0b152eeeb444cdf494	48d7f97da0a36ef0b00176a94148e23b1fc091218ca5f19d2d3c86f78bc0e976	f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9	0	[ "To solve the multiplication of 2616 by 4126 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 2616\n x 4126\n ________\n```\n\n2. **Multiply 2616 by each digit of 4126, 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? 2616 x 4126 Think step by step. ## Here is the solution 10793616 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 127, "explanation": "The model explicitly sets a sub-goal here by indicating it will divide the multiplication process into smaller steps.", "idx": 0, "span": "break it down into smaller, more manageable steps", "start_idx": 78 }, { "end_idx": 312, "explanation": "This i...	5
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 multiplication of 8660 by 9821 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 8660\n x 9821\n ```\n\n2. Multiply 8660 by the rightmost digit of 9821 (which is 1):\n\n ```\n 8660\n x 1\n -...	[ "To solve the multiplication of 8660 by 9821 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 8660\n x 9821\n ```\n\n2. Multiply 8660 by the rightmost digit of 9821 (which is 1):\n\n ```\n 8660\n x 1\n ------\...	698aa5cb6555150eba51f5c1575ad3b425fd35594fc85b8fbc7b963752d3f11f	831e837c58fd5ace437a4c89127b5f9b7431c9cd24cf5c9e67820a71b7136461	66b6db2a60e688220605acc4e362109453f11fa962fa10572630845fd83be98b	0	[ "To solve the multiplication of 8660 by 9821 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 8660\n x 9821\n ```\n\n2. Multiply 8660 by the rightmost digit of 9821 (which is 1):\n\n ```\n 8660\n x 1\n ------\...	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? 8660 x 9821 Think step by step. ## Here is the solution 85049860 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 259, "explanation": "This snippet sets a sub-goal to focus on multiplying by the rightmost digit.", "idx": 0, "span": "Multiply 8660 by the rightmost digit of 9821 (which is 1)", "start_idx": 202 }, { "end_idx": 424, "explanation": "This snippet creates a sub-goal by spe...	5
50	{ "answer": "3356274", "problem": "What is the solution to the long multiplication equation below?\n\n2994 x 1121\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2994 x 1121\n\nThink step by step.", "solution": "3356274" }	3356274	{ "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\n2994 x 1121\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication problem \\(2994 \\times 1121\\) 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 2994\n × 1121\n ```\n\n2. **Multiply 2994 by each digit of 1121, starting ...	[ "To solve the multiplication problem \\(2994 \\times 1121\\) 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 2994\n × 1121\n ```\n\n2. **Multiply 2994 by each digit of 1121, starting from t...	e7ba8ded213ef0b5f739b1aef119bee7ba1dd1bfda4865afa2fc4c9fe67db2ed	f72ad4193adbf0e3645dbd9356bac06a7c24c346d3bfaec7a00e93bee8e3812a	ffabdf448694b3fb5e403a1531417e046b2564e9bd3c2beef4301021ba197b01	0	[ "To solve the multiplication problem \\(2994 \\times 1121\\) 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 2994\n × 1121\n ```\n\n2. **Multiply 2994 by each digit of 1121, 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? 2994 x 1121 Think step by step. ## Here is the solution 3356274 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 141, "explanation": "This statement indicates a plan to divide the problem into smaller parts, which is a clear indication of setting a sub-goal.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 84 }, { "end_idx": 322, "explan...	5
9	{ "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 multiplication of 4133 by 2123 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 4133\n x 2123\n ________\n```\n\n2. **Multiply 4133 by each digit of 2123, starting from the ri...	[ "To solve the multiplication of 4133 by 2123 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 4133\n x 2123\n ________\n```\n\n2. **Multiply 4133 by each digit of 2123, starting from the rightmos...	fa5168f9f58ecce7f5cba4a002f013f83876325d1a3198e9fafb36f691b0b0b1	e258a17e62732bb5cc4db6897fd95e1ab83eba0a2aa2b73194709f721a12a42b	1236d3aa175712b479162a6753f65557bca804b266abc59d422be0eabf41738a	0	[ "To solve the multiplication of 4133 by 2123 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 4133\n x 2123\n ________\n```\n\n2. **Multiply 4133 by each digit of 2123, 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? 4133 x 2123 Think step by step. ## Here is the solution 8774359 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 128, "explanation": "This sets a sub-goal of breaking down the overall task into smaller steps.", "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 to address each...	5
91	{ "answer": "7973532", "problem": "What is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.", "solution": "7973532" }	7973532	{ "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\n1791 x 4452\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the multiplication of 1791 by 4452 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 1791\n x 4452\n ________\n```\n\n2. **Multiply 1791 by each digit of 4452, starting from the ri...	[ "To solve the multiplication of 1791 by 4452 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 1791\n x 4452\n ________\n```\n\n2. **Multiply 1791 by each digit of 4452, starting from the rightmos...	c77f6edf353d39a8ca42fde3da14f3bdd71df18815a0ca892e4473f2fab5e2b4	2c903c628137f50088bb3c2b9e539ce9dc0dc79de945bfc9846ee312d36939fd	d6d7f29613fd4431a5e7218c59c2890c92f7196483eec4e2e540c6a36394a7bc	0	[ "To solve the multiplication of 1791 by 4452 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 1791\n x 4452\n ________\n```\n\n2. **Multiply 1791 by each digit of 4452, 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? 1791 x 4452 Think step by step. ## Here is the solution 7973532 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 128, "explanation": "This indicates the model is setting a sub-goal to simplify the problem into steps.", "idx": 0, "span": "we can break it down into smaller, more manageable steps.", "start_idx": 71 }, { "end_idx": null, "explanation": "This shows the model identifying...	6
81	{ "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 ...	f6755d42a963559aee55bec78a3a7639815f39209be434281a07b50c0f871e6c	1a365e3fa99dc1845f24501b273a116e82dbbc04889abceafd0d0da34053b5b4	84301854687cf651508c24cd0279650fe211b78bb04a390c7e28222a0dc5a2f5	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 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? 6371 x 3925 Think step by step. ## Here is the solution 25006175 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This snippet indicates the model is planning to approach the problem by breaking it down, establishing a sub-goal of using the distributive property.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication over addit...	5
14	{ "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...	[ [ "To solve the long multiplication equation \\( 7170 \\times 4468 \\), 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 \\( 7170 \\times 4468 \\), 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...	105349441fd899fa97f0ebdf9168ed245a30d5fcf30c7c4cdb119911efb130fb	c1e626667be5808a0fd372481fe6ee2c64e91497b2d863503a068247ea83b654	c9f79caea0d4b141582c9ad202a50a1bdc8c3a1534a6469a1be242ce7231ca9a	1	[ "32035560" ]	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? 7170 x 4468 Think step by step. ## Here is the solution 32035560 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This sentence introduces a planned approach, signaling the intention to create sub-goals.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { "end_idx": null, ...	5
3	{ "answer": "18061120", "problem": "What is the solution to the long multiplication equation below?\n\n3520 x 5131\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3520 x 5131\n\nThink step by step.", "solution": "18061120" }	18061120	{ "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\n3520 x 5131\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 3520 \\times 5131 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (3520) by each digit of the multiplier (5131) and then summing the partial results.\n\n#...	[ "To solve the long multiplication equation \\( 3520 \\times 5131 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (3520) by each digit of the multiplier (5131) and then summing the partial results.\n\n### Ste...	a2f1bdfe252810b633d599ba3e54711d1f9e0076909a64b77e7053cd67276dc2	a301e58ab8174fac26d55f49c8d62d2ccafc462968b15e82322890ea6d48e789	db1efa6b28b6f0ace487532d0c48a25f16cd53366954a194bf7aa23dfe6134a7	1	[ "18061120" ]	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? 3520 x 5131 Think step by step. ## Here is the solution 18061120 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1279, "explanation": "This indicates that the model is going to cross-check its calculations through an alternative method.", "idx": 0, "span": "### Verification:", "start_idx": 1262 }, { "end_idx": 1279, "explanation": "This step signifies that the model is confirming t...	2
3	{ "answer": "18061120", "problem": "What is the solution to the long multiplication equation below?\n\n3520 x 5131\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3520 x 5131\n\nThink step by step.", "solution": "18061120" }	18061120	{ "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\n3520 x 5131\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 3520 \\times 5131 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (3520) by each digit of the multiplier (5131) and then summing the partial results.\n\n#...	[ "To solve the long multiplication equation \\( 3520 \\times 5131 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (3520) by each digit of the multiplier (5131) and then summing the partial results.\n\n### Ste...	a2f1bdfe252810b633d599ba3e54711d1f9e0076909a64b77e7053cd67276dc2	a301e58ab8174fac26d55f49c8d62d2ccafc462968b15e82322890ea6d48e789	db1efa6b28b6f0ace487532d0c48a25f16cd53366954a194bf7aa23dfe6134a7	1	[ "18061120" ]	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? 3520 x 5131 Think step by step. ## Here is the solution 18061120 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This indicates the intention to simplify the process, setting up a sub-goal to use a specific multiplication property.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 ...	6
94	{ "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...	[ [ "To solve the long multiplication equation \\( 3848 \\times 5968 \\), 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 \\( 3848 \\times 5968 \\), 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...	67e139c1ec46689ac2d4c0cf303c101772e239bf62ac3b9d0363df25ff364758	dcb052e45c88ee84c058ff00b17e7565da4e9e87938bb147efde0590618fce05	42c84201700d810185282cff80ac555248b14235fdc8404de189e5e88650afac	1	[ "22964864" ]	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? 3848 x 5968 Think step by step. ## Here is the solution 22964864 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This sets the stage for using sub-goals by stating the intent to break down the problem.", "idx": 0, "span": "We'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { "end_idx": null, ...	6
31	{ "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...	[ [ "To solve the long multiplication equation \\( 3585 \\times 8793 \\), 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 \\( 3585 \\times 8793 \\), 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...	14b7d25b37286f8f2f243217b6b1a60891900dfb2cb28fb80e85edb0dfa8c49b	b94a270f22e2ff8649f25e55d790139588e07a05591cdf9ea67690e3116bf28e	fad0281e18f667216c7e657cfea2c540f1687bd27a739e16a05293b4bcfa5d11	1	[ "31522905" ]	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? 3585 x 8793 Think step by step. ## Here is the solution 31522905 ## Here are the current task instructions Count how m...	backtracking	[ { "end_idx": 1515, "explanation": "This snippet indicates that the model is considering a different approach (standard long multiplication) to confirm the result, which is a clear example of backtracking.", "idx": 0, "span": "let's verify using another method (e.g., standard long multiplication)", ...	1
31	{ "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...	[ [ "To solve the long multiplication equation \\( 3585 \\times 8793 \\), 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 \\( 3585 \\times 8793 \\), 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...	14b7d25b37286f8f2f243217b6b1a60891900dfb2cb28fb80e85edb0dfa8c49b	b94a270f22e2ff8649f25e55d790139588e07a05591cdf9ea67690e3116bf28e	fad0281e18f667216c7e657cfea2c540f1687bd27a739e16a05293b4bcfa5d11	1	[ "31522905" ]	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? 3585 x 8793 Think step by step. ## Here is the solution 31522905 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "The model establishes a plan to tackle the problem by indicating it will break it down step by step.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { "end_id...	6
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...	[ [ "To solve the long multiplication equation \\( 9772 \\times 2554 \\), 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 \\( 9772 \\times 2554 \\), 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...	8db812af311e804926677f80292c96211a3ec2ed4aea8eaeadf8c4171f904e60	6d4506d6b3fb1355af61dfa1b3a3e51bf01345b8f7808128943bcb96c1c3af1a	96b801b79e8eef3a0b9f114d2317019b89f84d47e1cb383f8671f60da27c97c3	1	[ "24957688" ]	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? 9772 x 2554 Think step by step. ## Here is the solution 24957688 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This indicates the model is setting a sub-goal to break down the problem 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": 66 }, {...	7
13	{ "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##...	9bbf91846dbe9e7fb0e141b954c8b1d5a5bb8b9120a8cc0c8407ba79ad734601	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 used self verification 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 Count ...	verification	[ { "end_idx": 1304, "explanation": "This section explicitly states the intention to check the result of the calculations.", "idx": 0, "span": "### Verification", "start_idx": 1288 }, { "end_idx": 1425, "explanation": "The phrase indicates a reassessment of the result through an altern...	3
13	{ "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##...	9bbf91846dbe9e7fb0e141b954c8b1d5a5bb8b9120a8cc0c8407ba79ad734601	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 used backtracking 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 Count how m...	backtracking	[ { "end_idx": 1425, "explanation": "This statement indicates that the model recognized its previous method had limitations or a need for verification, thus choosing an alternative strategy (standard long multiplication) to confirm the result.", "idx": 0, "span": "let's verify the result using another...	1
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 ...	95020db033e29dce76b6525ce30aa31c4027a5629fa4c21bda3c9803ed2c2d3f	0401c86608c2957adc693936898102dbbbe511b635899003316bc5cb4531abf5	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 backtracking 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 how m...	backtracking	[ { "end_idx": 1430, "explanation": "The phrase indicates a shift in strategy to verify the solution, which demonstrates backtracking from the previous calculation method.", "idx": 0, "span": "To ensure accuracy, let's verify using another method (e.g., the standard long multiplication algorithm):", ...	1
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 ...	95020db033e29dce76b6525ce30aa31c4027a5629fa4c21bda3c9803ed2c2d3f	0401c86608c2957adc693936898102dbbbe511b635899003316bc5cb4531abf5	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 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? 1747 x 7217 Think step by step. ## Here is the solution 12608099 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This sets the framework for breaking down the multiplication into manageable parts, indicating a sub-goal of understanding the multiplication through the distributive property.", "idx": 0, "span": "we'll break it down step by step using the **distributive property o...	7
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...	[ [ "To solve the long multiplication equation \\(5570 \\times 4628\\), 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 \\(5570 \\times 4628\\), 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 ...	bcfb316e9add593ca6449c49149a609d78fc052577e2e5581e91ba68fa47e7ec	78a9dbdfbe95593217b3bfb35146af68b4837aa6c4966f5a92ff22293da646ec	d16d02ae6c305a0ffe52ec7b7d3290280c3916f498438a939202e4013ffaecfc	1	[ "25777960" ]	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? 5570 x 4628 Think step by step. ## Here is the solution 25777960 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 164, "explanation": "This statement sets the stage for the reasoning process by indicating that the problem will be tackled in manageable steps, introducing a sub-goal of understanding how to apply the distributive property.", "idx": 0, "span": "we'll break it down step by step using th...	5
11	{ "answer": "11567042", "problem": "What is the solution to the long multiplication equation below?\n\n7066 x 1637\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n7066 x 1637\n\nThink step by step.", "solution": "11567042" }	11567042	{ "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\n7066 x 1637\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\(7066 \\times 1637\\), 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 \\(7066 \\times 1637\\), 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 ...	f8ace94193e2b6a4062935393de69180d16830b23892604bd5df8b9e200f4b03	38e0f2e6f7cb0d029b485d43f8a451305ad40972ec60e2e7cb6e907318525678	74507a7d3d4370ed4f3e796d9a16cfc3a71eca1fa869cd616a94a90ce9f271d0	1	[ "11567042" ]	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? 7066 x 1637 Think step by step. ## Here is the solution 11567042 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This indicates that the model is setting a sub-goal to apply a specific mathematical property to solve the problem.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 64 }, ...	6
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...	ff6c9b873d2fff8637c170170379b755373e40832d1933d63b934821d4a8c56e	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 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": null, "explanation": "This statement indicates a verification step where the model is adding up the calculated partial results to ensure accuracy.", "idx": 0, "span": "Adding these partial results: 3465 + 17,325 + 138,600 + 2,079,000 = 2,228,390", "start_idx": null }, { "end...	4
54	{ "answer": "62182155", "problem": "What is the solution to the long multiplication equation below?\n\n6585 x 9443\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6585 x 9443\n\nThink step by step.", "solution": "62182155" }	62182155	{ "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\n6585 x 9443\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 6585 \\times 9443 \\), 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 \\( 6585 \\times 9443 \\), 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...	15a32b7cad8170c0d2ba36a881c70422c45c5526f914e7dc94ca34f5d698ea4d	969e4c6d46c53c62968afbe386c00b5ded1e8a0c5b99e2ea9173d87f19cc5b5b	52767d740741394087f42563a721cc8c68c6fa96f6a54520dc1b801302c3af3a	1	[ "62182155" ]	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? 6585 x 9443 Think step by step. ## Here is the solution 62182155 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1497, "explanation": "This snippet indicates that the model is taking extra steps to validate its previously calculated result.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multiplication):", "start_idx": 1389 },...	2
54	{ "answer": "62182155", "problem": "What is the solution to the long multiplication equation below?\n\n6585 x 9443\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6585 x 9443\n\nThink step by step.", "solution": "62182155" }	62182155	{ "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\n6585 x 9443\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 6585 \\times 9443 \\), 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 \\( 6585 \\times 9443 \\), 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...	15a32b7cad8170c0d2ba36a881c70422c45c5526f914e7dc94ca34f5d698ea4d	969e4c6d46c53c62968afbe386c00b5ded1e8a0c5b99e2ea9173d87f19cc5b5b	52767d740741394087f42563a721cc8c68c6fa96f6a54520dc1b801302c3af3a	1	[ "62182155" ]	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? 6585 x 9443 Think step by step. ## Here is the solution 62182155 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This signifies the initial intention to break the problem into smaller steps, setting the stage for the subsequent sub-goals.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx"...	7
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...	[ [ "To solve the long multiplication equation \\( 6838 \\times 1299 \\), 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 (1299)\nNotice that \\( 1299 = 1300 - 1 \\). This allows us to rewrite the multip...	[ "To solve the long multiplication equation \\( 6838 \\times 1299 \\), 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 (1299)\nNotice that \\( 1299 = 1300 - 1 \\). This allows us to rewrite the multiplicati...	12affd463da3378c6575dcbfa7412dd67ab0ecd6cfd0671e1cb584428069b831	98d1e45af31cde86c96be980508076b0a5389b1b2fa4e9b0b683093742a49def	607d4b82535dda4f178b0a3d3286bcd68ac497be23fdcae580c31944f48a8303	0	[ "88,887,162" ]	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? 6838 x 1299 Think step by step. ## Here is the solution 8882562 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 150, "explanation": "This indicates the model's intention to decompose the problem into smaller parts.", "idx": 0, "span": "we can break it down using the distributive property of multiplication over addition", "start_idx": 66 }, { "end_idx": 229, "explanation": "This se...	5
97	{ "answer": "21585825", "problem": "What is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.", "solution": "21585825" }	21585825	{ "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\n5085 x 4245\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\(5085 \\times 4245\\), 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 \\(5085 \\times 4245\\), 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 ...	d7e732b48173ff5714ec0d31805037ade0dff93ad6014768ec8596414cba9513	4a82a7eb9f445c64cccfa085b6908f2ed10d79882f974f7ee9e20b4a1e904514	4329490bbf93890682c108388448692bea2354f8b7cb5c168dc9975130e11f51	1	[ "21585825" ]	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? 5085 x 4245 Think step by step. ## Here is the solution 21585825 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This indicates an intention to decompose the problem into manageable parts, which is a hallmark of using sub-goals.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 64 }, ...	6
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...	[ [ "To solve the long multiplication equation \\(6157 \\times 1921\\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\(6157\\) by each digit of \\(1921\\) (considering their place values) and then sum the results.\n\n### Step 1: B...	[ "To solve the long multiplication equation \\(6157 \\times 1921\\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\(6157\\) by each digit of \\(1921\\) (considering their place values) and then sum the results.\n\n### Step 1: Break d...	243b9c4e28d8934b924bebe8d5a457c0392061e515f13bf031dd7c48e6e1dfaf	e95a0e75e9d1aa072a098dc54c1ff612c4ef8821308fdd3fa11b47dc7a684e93	07c43af6fbc6be8ec559300763b04edaa9cfaa0897820ecb24d49c71ab9c329d	1	[ "11827597" ]	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? 6157 x 1921 Think step by step. ## Here is the solution 11827597 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 96, "explanation": "This indicates the intention to break the problem into smaller steps, which is a form of setting a sub-goal.", "idx": 0, "span": "we'll break it down step by step", "start_idx": 64 }, { "end_idx": 331, "explanation": "This phrase represents a specific...	5
27	{ "answer": "17864665", "problem": "What is the solution to the long multiplication equation below?\n\n5135 x 3479\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n5135 x 3479\n\nThink step by step.", "solution": "17864665" }	17864665	{ "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\n5135 x 3479\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\(5135 \\times 3479\\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\(5135\\) by each digit of \\(3479\\) (considering their place values) and then sum the results.\n\n### Step 1: B...	[ "To solve the long multiplication equation \\(5135 \\times 3479\\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\(5135\\) by each digit of \\(3479\\) (considering their place values) and then sum the results.\n\n### Step 1: Break d...	0336f8ce28831a058a5798f6766bfa4a114ef1319ef59f26ae4cf95ae5955ecf	04fe1a29876ba15b6ccf526f5bae6d9d4eab36edc53fab33ceb9196f9b2fd10b	6dc5a61e830709e5086762e564f3546f80ec9031ea8580ddbddb7f73328dd7d8	1	[ "17864665" ]	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? 5135 x 3479 Think step by step. ## Here is the solution 17864665 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This indicates the strategy of breaking down the multiplication into manageable parts, which is a creation of a sub-goal.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 64...	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 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": 1516, "explanation": "This indicates a shift in strategy, suggesting that the model recognized it needed to abandon its previous verification method in favor of a different, alternative method to double-check the result.", "idx": 0, "span": "let's verify using another method (e.g., stan...	1
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 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? 4371 x 4463 Think step by step. ## Here is the solution 19507773 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "The model explicitly states the intention to break down the multiplication step by step, indicating an approach to achieve the final result.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", ...	6
77	{ "answer": "11558976", "problem": "What is the solution to the long multiplication equation below?\n\n2526 x 4576\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n2526 x 4576\n\nThink step by step.", "solution": "11558976" }	11558976	{ "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\n2526 x 4576\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 2526 \\times 4576 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 2526 \\) by each digit of \\( 4576 \\), accounting for place values, and then sum the results.\n\n### Step 1...	[ "To solve the long multiplication equation \\( 2526 \\times 4576 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 2526 \\) by each digit of \\( 4576 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea...	4fdf4354c82bff0109d257d5b6764ee16963501349dff3351fc5f10081fdcbde	cb244c804796167b7f9ceb7f75988f6e4069d4401d926e57a960b0b7eb9ab52a	8dd28f826e4804e80e18bab727240ce2f29df5145b7e76906ebc055138c244b3	1	[ "11558976" ]	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? 2526 x 4576 Think step by step. ## Here is the solution 11558976 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1306, "explanation": "This indicates the model is planning to verify the correctness of its previous calculations by using another method.", "idx": 0, "span": "### Verification using the standard long multiplication method", "start_idx": 1244 }, { "end_idx": null, "expla...	2
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...	[ [ "To solve the long multiplication equation \\( 7182 \\times 4309 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 7182 \\) by each digit of \\( 4309 \\), accounting for place values, and then sum the results.\n\n### Step 1...	[ "To solve the long multiplication equation \\( 7182 \\times 4309 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 7182 \\) by each digit of \\( 4309 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea...	d281ba14066f51d914ba924280679d5a7e0f99e36782b246d6a3bda7644b10e3	b0d9bcd726620a61dc8c74d88f2153fb37f3dbcb6a3f2a470f5ce355953886e4	b01ac4611f17e54f4e68129547a7f1365da1f9e19cb35698981a01c1aacc12a2	1	[ "30947238" ]	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? 7182 x 4309 Think step by step. ## Here is the solution 30947238 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 166, "explanation": "This statement indicates the intention to break down the problem into smaller steps, showcasing the first sub-goal.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition", "start_idx": 66 }, ...	5
71	{ "answer": "32987221", "problem": "What is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.", "solution": "32987221" }	32987221	{ "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\n6263 x 5267\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\(6263 \\times 5267\\), 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 \\(6263 \\times 5267\\), 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 ...	44eeb7f6091056ede8c3c82e76ca5f2f050a5e967af19b208c1cac3084edf904	024d918ec6c46bd508a1e1b781b0282604c788936d2b734398648fa23a3e338d	31387d881452b896688d451be74a46ea6e04769a9690cfeb49345d3592867f06	1	[ "32987221" ]	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? 6263 x 5267 Think step by step. ## Here is the solution 32987221 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1440, "explanation": "This shows the model is consciously taking a step to verify the answer using an alternative method.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multiplication):", "start_idx": 1332 }, { ...	2
25	{ "answer": "71524759", "problem": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.", "solution": "71524759" }	71524759	{ "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\n9101 x 7859\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 9101 \\times 7859 \\), 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 \\( 9101 \\times 7859 \\), 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...	e08b4df1e4743d436329f7038d7a8b3f017d64fc0ad8b6a3f75ef3c43e12ca75	71864967f1a96b4ff050ae6e0039bc2fe61e9ee70af0443e33466373525cdefe	a8ef80900a80e051981803d11514709a66956f26e1f367ce084187319ecfe469	1	[ "71524759" ]	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? 9101 x 7859 Think step by step. ## Here is the solution 71524759 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1413, "explanation": "This indicates the model is going to double-check its previous calculations.", "idx": 0, "span": "### Verification", "start_idx": 1397 }, { "end_idx": 1814, "explanation": "This confirms that the previous calculations were correct by comparing the r...	2
25	{ "answer": "71524759", "problem": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.", "solution": "71524759" }	71524759	{ "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\n9101 x 7859\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 9101 \\times 7859 \\), 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 \\( 9101 \\times 7859 \\), 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...	e08b4df1e4743d436329f7038d7a8b3f017d64fc0ad8b6a3f75ef3c43e12ca75	71864967f1a96b4ff050ae6e0039bc2fe61e9ee70af0443e33466373525cdefe	a8ef80900a80e051981803d11514709a66956f26e1f367ce084187319ecfe469	1	[ "71524759" ]	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? 9101 x 7859 Think step by step. ## Here is the solution 71524759 ## Here are the current task instructions Count how m...	backtracking	[ { "end_idx": 1504, "explanation": "This snippet indicates that the model recognized a potential need for a different approach to ensure accuracy, thus demonstrating backtracking by changing its strategy from the initial method of calculation.", "idx": 0, "span": "let's verify using another method (e...	1
25	{ "answer": "71524759", "problem": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.", "solution": "71524759" }	71524759	{ "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\n9101 x 7859\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 9101 \\times 7859 \\), 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 \\( 9101 \\times 7859 \\), 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...	e08b4df1e4743d436329f7038d7a8b3f017d64fc0ad8b6a3f75ef3c43e12ca75	71864967f1a96b4ff050ae6e0039bc2fe61e9ee70af0443e33466373525cdefe	a8ef80900a80e051981803d11514709a66956f26e1f367ce084187319ecfe469	1	[ "71524759" ]	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? 9101 x 7859 Think step by step. ## Here is the solution 71524759 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This indicates that the model will break the problem down into smaller components as a guiding principle.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { "e...	6
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...	[ [ "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 ...	d276285aaae2a9b79540e0ed36f80d1c65ceb3cae93d73c576eeb27a2f25c375	71ba49b1acc92f8331f0988bedd91e30f7b9e69b63c1b48c88c3cf4a7effcb98	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 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": 1440, "explanation": "This snippet indicates a change in strategy to verify the result using a different method after initially calculating it, demonstrating backtracking.", "idx": 0, "span": "let's verify using another method (e.g., standard long multiplication):", "start_idx": 136...	1
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...	[ [ "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 ...	d276285aaae2a9b79540e0ed36f80d1c65ceb3cae93d73c576eeb27a2f25c375	71ba49b1acc92f8331f0988bedd91e30f7b9e69b63c1b48c88c3cf4a7effcb98	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 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? 6503 x 4868 Think step by step. ## Here is the solution 31656604 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This indicates the intent to break the problem into manageable parts, showcasing the use of a sub-goal.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 64 }, { "end...	6
95	{ "answer": "18951400", "problem": "What is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.", "solution": "18951400" }	18951400	{ "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 4925\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 3848 \\times 4925 \\), 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 \\( 3848 \\times 4925 \\), 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...	f84100cb6e26ff386de07fa5541984f5ffe619fd2b09f7e0b4f0bc4f3a0d207e	f187aa52c2ddab6f8d658c6f01189ae82f323aeec8a014ebd51a88a4578ec558	877f6fcbea6f1f02b6be6da4ef7a06ee99afa21123786d75a72ababcd35a7fc4	1	[ "18951400" ]	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? 3848 x 4925 Think step by step. ## Here is the solution 18951400 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This sets the sub-goal of using the distributive property to simplify the multiplication.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { "end_idx": 374, ...	8
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...	[ [ "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. ...	049b734fc33b4d136be3940d181cef03c74ac3683c0b8e7532b8a741d83152e9	8a73ad045d104953ef589b56ac66669f0147b013b439daba0d0e513b5d9b5f41	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 backtracking 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 how m...	backtracking	[ { "end_idx": 1544, "explanation": "This quote indicates that the model recognized the need to confirm its results and decided to try a different method of calculation (long multiplication) to verify its earlier results, which is a clear instance of backtracking.", "idx": 0, "span": "To ensure accura...	1
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...	[ [ "To solve the long multiplication equation \\( 7655 \\times 8914 \\), 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 \\( 7655 \\times 8914 \\), 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...	ef59a8900d35a71122cbc9acdfde2440b2dd1081a3461bf41f6f80be145f7088	af948f2fa1912b2733cf26fe9d259e8e500fe23e88d83cff3f924c74fdde9c25	c8d4d0fe0ac64b677a0b6ecf701b930d320602b1373a31a2f1146c0d0857a5c4	1	[ "68236670" ]	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? 7655 x 8914 Think step by step. ## Here is the solution 68236670 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1458, "explanation": "This indicates the model is checking its previous calculations by confirming the result using a different method.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multiplication):", "start_idx": 1...	3
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...	[ [ "To solve the long multiplication equation \\( 7655 \\times 8914 \\), 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 \\( 7655 \\times 8914 \\), 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...	ef59a8900d35a71122cbc9acdfde2440b2dd1081a3461bf41f6f80be145f7088	af948f2fa1912b2733cf26fe9d259e8e500fe23e88d83cff3f924c74fdde9c25	c8d4d0fe0ac64b677a0b6ecf701b930d320602b1373a31a2f1146c0d0857a5c4	1	[ "68236670" ]	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? 7655 x 8914 Think step by step. ## Here is the solution 68236670 ## Here are the current task instructions Count how m...	backtracking	[ { "end_idx": 1458, "explanation": "This snippet indicates that the model recognized the need to check its previous answer through a different method, suggesting a backtracking approach since it implies reconsidering its reasoning.", "idx": 0, "span": "let's verify using another method (e.g., standar...	1
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...	[ [ "To solve the long multiplication equation \\( 7655 \\times 8914 \\), 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 \\( 7655 \\times 8914 \\), 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...	ef59a8900d35a71122cbc9acdfde2440b2dd1081a3461bf41f6f80be145f7088	af948f2fa1912b2733cf26fe9d259e8e500fe23e88d83cff3f924c74fdde9c25	c8d4d0fe0ac64b677a0b6ecf701b930d320602b1373a31a2f1146c0d0857a5c4	1	[ "68236670" ]	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? 7655 x 8914 Think step by step. ## Here is the solution 68236670 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This indicates the model intends to set a broader goal of using the distributive property as a strategy for solving the multiplication.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "...	6
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...	[ [ "To solve the long multiplication equation \\( 8281 \\times 9949 \\), we can use the distributive property of multiplication over addition (also known as the FOIL method). Here's a step-by-step breakdown:\n\n### Step 1: Break down the multiplication using the distributive property\nWe can express \\( ...	[ "To solve the long multiplication equation \\( 8281 \\times 9949 \\), we can use the distributive property of multiplication over addition (also known as the FOIL method). Here's a step-by-step breakdown:\n\n### Step 1: Break down the multiplication using the distributive property\nWe can express \\( 9949 \...	556e1b584060b1766b49077dd0f14d86af4a067fb0f87ed09535fd6d343b1d3d	e8e0c847b98c0118be14f4cd4fa70219bc8b750651d16cf8652f9bb861940ab9	d407b925af7e81140d15fbd20c4427ba3cbbed6c6bd2008f2136f181c51d14d5	1	[ "82387669" ]	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? 8281 x 9949 Think step by step. ## Here is the solution 82387669 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 283, "explanation": "This snippet indicates the intention to sub-divide the problem into manageable parts by using a property of multiplication.", "idx": 0, "span": "Break down the multiplication using the distributive property", "start_idx": 222 }, { "end_idx": null, "e...	5
19	{ "answer": "30198996", "problem": "What is the solution to the long multiplication equation below?\n\n6339 x 4764\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6339 x 4764\n\nThink step by step.", "solution": "30198996" }	30198996	{ "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\n6339 x 4764\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\(6339 \\times 4764\\), 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 \\(6339 \\times 4764\\), 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 ...	bf7ac6a89ccec0a5187f14dafb8c6559cacf7d0b55b54355bcd41ff11e65cafc	dba7e6306e26a0d9bacc926d8ac32c2f1bd06db73eed8b66a08fcd46ca34c755	8ec945bd7a4da696c39823dad39685086470b5c9e69db3e00aa4a3f7509aa5c1	1	[ "30198996" ]	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? 6339 x 4764 Think step by step. ## Here is the solution 30198996 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1348, "explanation": "This indicates that the model is taking a moment to validate the work done by checking it against another method.", "idx": 0, "span": "### Verification", "start_idx": 1332 }, { "end_idx": 1771, "explanation": "Here, the model explicitly states that ...	2
19	{ "answer": "30198996", "problem": "What is the solution to the long multiplication equation below?\n\n6339 x 4764\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6339 x 4764\n\nThink step by step.", "solution": "30198996" }	30198996	{ "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\n6339 x 4764\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\(6339 \\times 4764\\), 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 \\(6339 \\times 4764\\), 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 ...	bf7ac6a89ccec0a5187f14dafb8c6559cacf7d0b55b54355bcd41ff11e65cafc	dba7e6306e26a0d9bacc926d8ac32c2f1bd06db73eed8b66a08fcd46ca34c755	8ec945bd7a4da696c39823dad39685086470b5c9e69db3e00aa4a3f7509aa5c1	1	[ "30198996" ]	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? 6339 x 4764 Think step by step. ## Here is the solution 30198996 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 96, "explanation": "This indicates the model's intention to create sub-goals by explaining it will break down the solution into manageable parts.", "idx": 0, "span": "we'll break it down step by step", "start_idx": 64 }, { "end_idx": 369, "explanation": "This is the firs...	6
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...	[ [ "To solve the long multiplication equation \\( 4710 \\times 8367 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (4710) by each digit of the multiplier (8367) and then summing the partial results.\n\n#...	[ "To solve the long multiplication equation \\( 4710 \\times 8367 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (4710) by each digit of the multiplier (8367) and then summing the partial results.\n\n### Ste...	5edacc69dd52666e061535d55e4fdcdba49af9e73df6e9fb477e989eeede285e	3c720008cddd25942ad622f6c86d9e1d18b9e50dfc24601477a96abadac69af4	c924f58d055a40758756c4bdc3ba590f134dc45d25fe9a93edbb3a058405fc1b	1	[ "39408570" ]	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? 4710 x 8367 Think step by step. ## Here is the solution 39408570 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1372, "explanation": "This snippet indicates that the model is rechecking its previous calculations by using a different method, thus performing self verification.", "idx": 0, "span": "### Verification using the standard long multiplication method:", "start_idx": 1309 }, { "...	2
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...	[ [ "To solve the long multiplication equation \\( 4710 \\times 8367 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (4710) by each digit of the multiplier (8367) and then summing the partial results.\n\n#...	[ "To solve the long multiplication equation \\( 4710 \\times 8367 \\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying the multiplicand (4710) by each digit of the multiplier (8367) and then summing the partial results.\n\n### Ste...	5edacc69dd52666e061535d55e4fdcdba49af9e73df6e9fb477e989eeede285e	3c720008cddd25942ad622f6c86d9e1d18b9e50dfc24601477a96abadac69af4	c924f58d055a40758756c4bdc3ba590f134dc45d25fe9a93edbb3a058405fc1b	1	[ "39408570" ]	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? 4710 x 8367 Think step by step. ## Here is the solution 39408570 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This part indicates a plan to tackle the problem using a specific method, thus setting a sub-goal.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { "end_idx"...	5
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...	[ [ "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...	32eb0514336fe04ea4a806e2382b0961b7f18fd783b7087ef5a8bc13e73ca6b7	5f1b01505b265eb78c13648f5f4ae414d03679a259118f1da1bb3b93904a5ccc	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 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": 167, "explanation": "This indicates the model's intent to create a sub-goal by outlining a strategy for approaching the problem.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { ...	6
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...	[ [ "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...	86b806571fd1dcb8e7211e9415bcaa518fcd7be4a3ac4b86965395db0b8c5a11	f7497f8512820adbc188c5d10e9c389bad3efb43b08243314d02a4102d7436e1	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 used self verification 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 ...	verification	[ { "end_idx": 1340, "explanation": "This indicates that the model is about to recheck its earlier calculations by employing a different method.", "idx": 0, "span": "### Verification:", "start_idx": 1323 }, { "end_idx": 1774, "explanation": "This statement confirms that the model's cur...	2
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...	[ [ "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...	86b806571fd1dcb8e7211e9415bcaa518fcd7be4a3ac4b86965395db0b8c5a11	f7497f8512820adbc188c5d10e9c389bad3efb43b08243314d02a4102d7436e1	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 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": 1428, "explanation": "This snippet indicates a backtracking instance, where the model recognizes that it needs to use a different method (long multiplication) to ensure accuracy, thus abandoning the previous approach of using the distributive property.", "idx": 0, "span": "let's verify ...	1
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...	[ [ "To solve the long multiplication equation \\( 2171 \\times 1081 \\), 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 (1081)\nWe can express \\( 1081 \\) as \\( 1000 + 80 + 1 \\). This allows us to m...	[ "To solve the long multiplication equation \\( 2171 \\times 1081 \\), 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 (1081)\nWe can express \\( 1081 \\) as \\( 1000 + 80 + 1 \\). This allows us to multipl...	429fbf70a25497b4ebc13a61f790ce87311d94970ce90da01b46c57f1e646c7c	f047254650a01855da6e271a6816b1adb47319c425b95e2571feeed50acc30de	4c00f8817c0801383bb215c04fe14606248ff7848cf4493716408c5d66d7260c	1	[ "2346851" ]	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? 2171 x 1081 Think step by step. ## Here is the solution 2346851 ## Here are the current task instructions Count h...	verification	[ { "end_idx": 1133, "explanation": "This indicates that the model is checking its work to be sure the answer is correct.", "idx": 0, "span": "### Verification (Optional):", "start_idx": 1105 }, { "end_idx": 1545, "explanation": "This is a conclusive statement that verifies that prior ...	2
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...	[ [ "To solve the long multiplication equation \\( 7924 \\times 4823 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 7924 \\) by each digit of \\( 4823 \\), starting from the rightmost digit, and then sum the partial results....	[ "To solve the long multiplication equation \\( 7924 \\times 4823 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 7924 \\) by each digit of \\( 4823 \\), starting from the rightmost digit, and then sum the partial results.\n\n##...	2dafa663e915dad11dbbd24f4056e4daf7677826398a22dd60b765a9a4376cd4	d9fe5d10c14aaa6aa282cbfc04c5788c50bbff565dc5fa4fb65bbfb6939fc36d	bc7e133737810d899fdd7fe3dc50e1d23c2e0d51aacd1057d22fa2d1f6eb6686	1	[ "38217452" ]	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? 7924 x 4823 Think step by step. ## Here is the solution 38217452 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1384, "explanation": "This indicates that the model is about to verify its result using an alternate method of calculation.", "idx": 0, "span": "### Verification using the standard long multiplication method", "start_idx": 1322 }, { "end_idx": 1473, "explanation": "The p...	4
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...	[ [ "To solve the long multiplication equation \\( 7924 \\times 4823 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 7924 \\) by each digit of \\( 4823 \\), starting from the rightmost digit, and then sum the partial results....	[ "To solve the long multiplication equation \\( 7924 \\times 4823 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 7924 \\) by each digit of \\( 4823 \\), starting from the rightmost digit, and then sum the partial results.\n\n##...	2dafa663e915dad11dbbd24f4056e4daf7677826398a22dd60b765a9a4376cd4	d9fe5d10c14aaa6aa282cbfc04c5788c50bbff565dc5fa4fb65bbfb6939fc36d	bc7e133737810d899fdd7fe3dc50e1d23c2e0d51aacd1057d22fa2d1f6eb6686	1	[ "38217452" ]	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? 7924 x 4823 Think step by step. ## Here is the solution 38217452 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This line indicates the model's intention to employ a breakdown approach, setting the sub-goal of using the distributive property.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start...	5
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...	[ [ "To solve the long multiplication equation \\( 9508 \\times 1086 \\), 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 \\( 9508 \\times 1086 \\), 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...	d9405fece4886e57617e9a48525436f5f2ab9547f983433fe1714d1703ee428c	c93933147aa2be416d7c8d268756a564459c8cbc98e5bd3dfe07698b77862e88	ff62f55a3d8f17d91ef7e4d1b656002294a2fcf66f690c376237964d7119db15	1	[ "10325688" ]	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? 9508 x 1086 Think step by step. ## Here is the solution 10325688 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This indicates the model is setting a sub-goal to use a specific method (distributive property) to assist in the calculation.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx"...	5
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...	[ [ "To solve the long multiplication equation \\( 7288 \\times 2198 \\), 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 ...	[ "To solve the long multiplication equation \\( 7288 \\times 2198 \\), 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 pa...	a51c0957f50fa15eafbff2921eb312d3c27cbf12236a91343141281c003a8ed2	8bdcd4e13e8dcbd9737fc289780913164ac63514d397a4a5c14391f5c7056a4f	9206edebcc38e5031f20dd0a3b4f4b6deebc23e097872bd701e91ea7b807d576	0	[ "15,\\!998,\\!024" ]	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? 7288 x 2198 Think step by step. ## Here is the solution 16019024 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 164, "explanation": "This indicates that the model is setting a sub-goal to break down the problem before proceeding.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition", "start_idx": 66 }, { "end_idx": 378, ...	6
38	{ "answer": "28478385", "problem": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.", "solution": "28478385" }	28478385	{ "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\n3645 x 7813\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 3645 \\times 7813 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 3645 \\) by each digit of \\( 7813 \\), starting from the rightmost digit, and then sum the partial results....	[ "To solve the long multiplication equation \\( 3645 \\times 7813 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 3645 \\) by each digit of \\( 7813 \\), starting from the rightmost digit, and then sum the partial results.\n\n##...	a0c1e308d45faa92afb5dbbe159d273eae03111a64548678ba789205a87a56e6	07292871d4dbe109329fff28ce7ca23a39c30d69f8636a5083c6fdaf24af27bd	6c805fa38f4d20c7c15155bc975bec56859b3c9083637e3e889de25801b7af29	1	[ "28478385" ]	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? 3645 x 7813 Think step by step. ## Here is the solution 28478385 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1335, "explanation": "This line indicates the model is about to recheck its previous calculations through a different method for added confirmation.", "idx": 0, "span": "### Verification using the standard long multiplication method", "start_idx": 1273 }, { "end_idx": 1738, ...	2
38	{ "answer": "28478385", "problem": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.", "solution": "28478385" }	28478385	{ "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\n3645 x 7813\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 3645 \\times 7813 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 3645 \\) by each digit of \\( 7813 \\), starting from the rightmost digit, and then sum the partial results....	[ "To solve the long multiplication equation \\( 3645 \\times 7813 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 3645 \\) by each digit of \\( 7813 \\), starting from the rightmost digit, and then sum the partial results.\n\n##...	a0c1e308d45faa92afb5dbbe159d273eae03111a64548678ba789205a87a56e6	07292871d4dbe109329fff28ce7ca23a39c30d69f8636a5083c6fdaf24af27bd	6c805fa38f4d20c7c15155bc975bec56859b3c9083637e3e889de25801b7af29	1	[ "28478385" ]	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? 3645 x 7813 Think step by step. ## Here is the solution 28478385 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This shows the model is setting a plan to approach the problem by indicating it will break the multiplication into smaller parts to facilitate the calculation.", "idx": 0, "span": "we'll break it down step by step using the **distributive property of multiplication ...	6
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...	[ [ "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...	b24a68f7e17bec4c6ff23b4137d5d7129965297562a7708c10ec84e63bb76024	841a1d1dce8d0f5fd3ce41f901c534ad8be02bfe57807fc707551c88d78a620b	20b3b771613e89e037700619d5f4ed090b3a662a348b1476ba8a487f34dbe3e2	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 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": 1707, "explanation": "This quote illustrates backtracking as the model recognizes an error in the computation process and decides to alter its approach by re-evaluating the standard multiplication method.", "idx": 0, "span": "Wait, this seems incorrect. Let's re-evaluate the standard mu...	1
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...	[ [ "To solve the long multiplication equation \\(1014 \\times 7018\\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying each digit of the second number (7018) by the first number (1014) and then summing the results.\n\n### Step...	[ "To solve the long multiplication equation \\(1014 \\times 7018\\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying each digit of the second number (7018) by the first number (1014) and then summing the results.\n\n### Step 1: Br...	9ae7734e6d4e245781734e1ce6e41be6b3f1c4393303f1e5283239b0930cad5c	b83a891f234a26c097440bfcdee9f4d5833c37332c18c3d16d0b4da8b5d91a4e	2011ce3c349cb8f96857b179dbe2fd74a33f85986f1ea124fba66d1a15b5950f	0	[ "7117972" ]	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? 1014 x 7018 Think step by step. ## Here is the solution 7116252 ## Here are the current task instructions Count h...	verification	[ { "end_idx": 1353, "explanation": "The model explicitly indicates it is verifying its answer through another method, which is a form of self verification.", "idx": 0, "span": "### Verification:", "start_idx": 1336 }, { "end_idx": 1454, "explanation": "The model states it is ensuring ...	2
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...	[ [ "To solve the long multiplication equation \\(1014 \\times 7018\\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying each digit of the second number (7018) by the first number (1014) and then summing the results.\n\n### Step...	[ "To solve the long multiplication equation \\(1014 \\times 7018\\), we'll break it down step by step using the distributive property of multiplication over addition. This method involves multiplying each digit of the second number (7018) by the first number (1014) and then summing the results.\n\n### Step 1: Br...	9ae7734e6d4e245781734e1ce6e41be6b3f1c4393303f1e5283239b0930cad5c	b83a891f234a26c097440bfcdee9f4d5833c37332c18c3d16d0b4da8b5d91a4e	2011ce3c349cb8f96857b179dbe2fd74a33f85986f1ea124fba66d1a15b5950f	0	[ "7117972" ]	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? 1014 x 7018 Think step by step. ## Here is the solution 7116252 ## Here are the current task instructions Cou...	subgoals	[ { "end_idx": 165, "explanation": "The model explicitly mentions a strategy for solving the problem, indicating its intention to break down the multiplication.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx":...	7
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...	743b265faf6467497c9406ceacb0e03377b2a8d1e1843eab587e81a0a9e939cb	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 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": 1412, "explanation": "This line indicates that the model is about to confirm the correctness of its previous calculations by using another method.", "idx": 0, "span": "### Verification:", "start_idx": 1395 }, { "end_idx": 1935, "explanation": "This statement demonstrates...	2
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...	[ [ "To solve the long multiplication equation \\(6508 \\times 4918\\), 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 \\(6508 \\times 4918\\), 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 ...	992aa76eb41dd9c0d412124f3b536a94a7a322a8a17c9b9e0fa269f4c4d86f10	f58370259d1498eb0d35e652106622af3a632f04848a87bb813d71f1bab46652	c9e53082da38d0a27750cb13b30472f9f53c85ece90fa556089c00e6c83de83d	1	[ "32006344" ]	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? 6508 x 4918 Think step by step. ## Here is the solution 32006344 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This indicates the intention to break the problem into smaller parts by 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": 64 }, { ...	6
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...	[ [ "To solve the long multiplication equation \\(6461 \\times 4465\\), 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 \\(6461 \\times 4465\\), 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 ...	ae785a65c4eb6165405f969de764ef6bb22badcf40cf0ae69d16080d3c1e7e74	c6d203237190063b907c3d2cb0b9562e95adb1073a99abad9a892f4595b13f25	e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888	1	[ "28848365" ]	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? 6461 x 4465 Think step by step. ## Here is the solution 28848365 ## Here are the current task instructions Count ...	verification	[ { "end_idx": 1440, "explanation": "This snippet indicates that the model is validating the calculations it made in previous steps by, essentially, doing a recheck with another method.", "idx": 0, "span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long mu...	2
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...	[ [ "To solve the long multiplication equation \\(6461 \\times 4465\\), 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 \\(6461 \\times 4465\\), 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 ...	ae785a65c4eb6165405f969de764ef6bb22badcf40cf0ae69d16080d3c1e7e74	c6d203237190063b907c3d2cb0b9562e95adb1073a99abad9a892f4595b13f25	e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888	1	[ "28848365" ]	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? 6461 x 4465 Think step by step. ## Here is the solution 28848365 ## Here are the current task instructions Count how m...	backtracking	[ { "end_idx": 1440, "explanation": "This indicates a shift in strategy as the model decides to confirm the multiplication results via an alternative method instead of continuing with its current calculation.", "idx": 0, "span": "Let's verify using another method (e.g., standard long multiplication):"...	1
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...	[ [ "To solve the long multiplication equation \\(6461 \\times 4465\\), 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 \\(6461 \\times 4465\\), 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 ...	ae785a65c4eb6165405f969de764ef6bb22badcf40cf0ae69d16080d3c1e7e74	c6d203237190063b907c3d2cb0b9562e95adb1073a99abad9a892f4595b13f25	e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888	1	[ "28848365" ]	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? 6461 x 4465 Think step by step. ## Here is the solution 28848365 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 165, "explanation": "This indicates the intention to decompose the multiplication process into smaller 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, ...	7
60	{ "answer": "28932650", "problem": "What is the solution to the long multiplication equation below?\n\n6925 x 4178\n\nThink step by step.", "question": "What is the solution to the long multiplication equation below?\n\n6925 x 4178\n\nThink step by step.", "solution": "28932650" }	28932650	{ "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\n6925 x 4178\n\nThink step by step.<\|im_end\|>\n<\|im_start\|>assistant\n", "arg_1": { "do_samp...	[ [ "To solve the long multiplication equation \\( 6925 \\times 4178 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 6925 \\) by each digit of \\( 4178 \\), accounting for place values, and then sum the results.\n\n### Step 1...	[ "To solve the long multiplication equation \\( 6925 \\times 4178 \\), we'll break it down step by step using the distributive property of multiplication over addition. This means we'll multiply \\( 6925 \\) by each digit of \\( 4178 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea...	390e2009a687a42c7464961cf687708fab8d10b94ed9a84eb485159fe19738d7	61918a826cde86b9db6c071170ab772035497f1dfe4fd98474d452c10d39f07f	ed05cd49f7024716052d13184f4c261687acf2d59f25d8c5d75c5dfcd049b203	1	[ "28932650" ]	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? 6925 x 4178 Think step by step. ## Here is the solution 28932650 ## Here are the current task instructions Co...	subgoals	[ { "end_idx": 167, "explanation": "This indicates the intention to decompose the multiplication task into smaller parts.", "idx": 0, "span": "we'll break it down step by step using the distributive property of multiplication over addition.", "start_idx": 66 }, { "end_idx": 331, "e...	5

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