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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 | new_behavior_span_count int64 0 12 | behavior_count int64 0 91 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
21 | {
"answer": "57916314",
"problem": "What is the solution to the long multiplication equation below?\n\n8054 x 7191\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8054 x 7191\n\nThink step by step.",
"solution": "57916314"
} | 57916314 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8054 x 7191\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8054 \\times 7191 \\), 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 \\( 8054 \\times 7191 \\), 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... | 8a6565a3d5a59536bb669a7b4cac8f363ad319a2f9d8b65c2db37110d46e9d72 | bcbd6331e8f3d28dfc01a6e3f1b4e63f45a2094f66cbdcd0396832332b58ab45 | 65d510573bd8f871adccf29ed0624dd21a5f1a7265b86ad6e8cf5d45592d1f42 | 1 | [
"57916314"
] | 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?
8054 x 7191
Think step by step.
## Here is the solution
57916314
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
30 | {
"answer": "47253360",
"problem": "What is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.",
"solution": "47253360"
} | 47253360 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7671 x 6160\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 7671 \\times 6160 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nNotice that \\( 6160 \\) can be written as \\( 6000 + 100 + 60 \\). This allows us to multiply \\( 7671 ... | [
"To solve the long multiplication equation \\( 7671 \\times 6160 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nNotice that \\( 6160 \\) can be written as \\( 6000 + 100 + 60 \\). This allows us to multiply \\( 7671 \\) by... | 3563fdec40cd55fcf23337eee95dae842cc243e1059830329f0c5566c5816798 | 026e10c061ce2b3e6f204bc2c5279958e2da13dad8ea495229b1d87c2455a548 | 28a6948f665cf4cb51be18ad83e7a365f7cae783a8155ab0c936ece071e6bd30 | 1 | [
"47253360"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
7671 x 6160
Think step by step.
## Here is the solution
47253360
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
37 | {
"answer": "77933040",
"problem": "What is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.",
"solution": "77933040"
} | 77933040 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 9385 \\times 8304 \\), 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 \\( 9385 \\times 8304 \\), 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... | 51421595677fb553ae15dd8d4c2cfab3f5e9e38d72ea8429fc0383f3186eb170 | f41d81077172555722fbc5671a03a73eded924deea06b5ae93553d913a54b6f4 | 8a79ab6e97d0c43149ffe3239ca72c3d86c7e39f3cd6eead049a0be84d641abf | 1 | [
"77933040"
] | 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?
9385 x 8304
Think step by step.
## Here is the solution
77933040
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
76 | {
"answer": "8198197",
"problem": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"solution": "8198197"
} | 8198197 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(1169 \\times 7013\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th... | [
"To solve the long multiplication equation \\(1169 \\times 7013\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part... | e36997b1205c9d8a00192572b442dcdd9b21fc00ee1cf442503ae7b8dfaa47bf | 6204fbf2bec0f2f57d3f6eabc569536172c6e1bc6ba841ebf9adfdc6d3f9a0c2 | 9e411d46783b9f12b5f6db7ac6e903c763dba9aaa3cd315771e08b3035f4cd9b | 1 | [
"8198197"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1169 x 7013
Think step by step.
## Here is the solution
8198197
## Here are the current task instructions
Count h... | verification | [] | 0 | 0 |
76 | {
"answer": "8198197",
"problem": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"solution": "8198197"
} | 8198197 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(1169 \\times 7013\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th... | [
"To solve the long multiplication equation \\(1169 \\times 7013\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part... | e36997b1205c9d8a00192572b442dcdd9b21fc00ee1cf442503ae7b8dfaa47bf | 6204fbf2bec0f2f57d3f6eabc569536172c6e1bc6ba841ebf9adfdc6d3f9a0c2 | 9e411d46783b9f12b5f6db7ac6e903c763dba9aaa3cd315771e08b3035f4cd9b | 1 | [
"8198197"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1169 x 7013
Think step by step.
## Here is the solution
8198197
## Here are the current task instructions
Count how ma... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\( 2255 \\times 4532 \\), 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 \\( 2255 \\times 4532 \\), 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... | 42baba1dae56fdb6336245c8d8efd707c54957604c1381ab74ac060963e20ea1 | 947a07a2b60255841dbb28c6edd76e3fad187122379a55c4f65324cdc27abb5c | e3bfd31a14f74c0d6f247819191cae9de647edd18165480f5ed8f2abf09d79e8 | 1 | [
"10219660"
] | 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?
2255 x 4532
Think step by step.
## Here is the solution
10219660
## Here are the current task instructions
Count ... | verification | [] | 0 | 0 |
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 long multiplication equation \\( 2255 \\times 4532 \\), 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 \\( 2255 \\times 4532 \\), 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... | 42baba1dae56fdb6336245c8d8efd707c54957604c1381ab74ac060963e20ea1 | 947a07a2b60255841dbb28c6edd76e3fad187122379a55c4f65324cdc27abb5c | e3bfd31a14f74c0d6f247819191cae9de647edd18165480f5ed8f2abf09d79e8 | 1 | [
"10219660"
] | 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?
2255 x 4532
Think step by step.
## Here is the solution
10219660
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\( 8263 \\times 2793 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8263 \\) by each digit of \\( 2793 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 8263 \\times 2793 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8263 \\) by each digit of \\( 2793 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 2a5d54f753ddb31c5cfcea054a99313e6f06095d820906f2b3d95c241fe05f1b | 4b38e92e388341db87de412d465f6f6b246ac037303086be1f867b11f0df70e9 | 91d763247a2ecb3091d454d1311743635899ac9b01ecab724a40ab1e11144639 | 1 | [
"23078559"
] | 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?
8263 x 2793
Think step by step.
## Here is the solution
23078559
## Here are the current task instructions
Count ... | verification | [] | 0 | 0 |
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 long multiplication equation \\( 8263 \\times 2793 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8263 \\) by each digit of \\( 2793 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 8263 \\times 2793 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8263 \\) by each digit of \\( 2793 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 2a5d54f753ddb31c5cfcea054a99313e6f06095d820906f2b3d95c241fe05f1b | 4b38e92e388341db87de412d465f6f6b246ac037303086be1f867b11f0df70e9 | 91d763247a2ecb3091d454d1311743635899ac9b01ecab724a40ab1e11144639 | 1 | [
"23078559"
] | 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?
8263 x 2793
Think step by step.
## Here is the solution
23078559
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\(6316 \\times 1198\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th... | [
"To solve the long multiplication equation \\(6316 \\times 1198\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part... | 719704f43a2a3c59fb685504fc22f9b0fa70b5667b3ed844a261bc7361bf5aef | 43fc9aeedf287d6fb8085c9e2c95bb271d20771a7c988248155f70d368958fa3 | 5e59d8db6f48aae83fbb2f058174d4855a9683ba8b02042551463ba9a0750db2 | 1 | [
"7566568"
] | 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?
6316 x 1198
Think step by step.
## Here is the solution
7566568
## Here are the current task instructions
Count h... | verification | [] | 0 | 0 |
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 long multiplication equation \\(6316 \\times 1198\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th... | [
"To solve the long multiplication equation \\(6316 \\times 1198\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part... | 719704f43a2a3c59fb685504fc22f9b0fa70b5667b3ed844a261bc7361bf5aef | 43fc9aeedf287d6fb8085c9e2c95bb271d20771a7c988248155f70d368958fa3 | 5e59d8db6f48aae83fbb2f058174d4855a9683ba8b02042551463ba9a0750db2 | 1 | [
"7566568"
] | 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?
6316 x 1198
Think step by step.
## Here is the solution
7566568
## Here are the current task instructions
Count how ma... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\(4240 \\times 3503\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (3503)\nThe number \\(3503\\) can be expres... | [
"To solve the long multiplication equation \\(4240 \\times 3503\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (3503)\nThe number \\(3503\\) can be expressed as... | 397f4a09f227fa31cf1e7f0713d2abfe8774471e22cac60e47cd1714583c2962 | ffcd95257827c53e21c0602c655881f7da044ca6a9dc37545d74a40f761ae8dc | fbff615a503c9a5ea86bbd1b96852205aa2d3afd486e8089c73c0f18942fb0a5 | 1 | [
"14852720"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4240 x 3503
Think step by step.
## Here is the solution
14852720
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
55 | {
"answer": "7006496",
"problem": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.",
"solution": "7006496"
} | 7006496 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(4036 \\times 1736\\), 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 \\(4036 \\times 1736\\), 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 ... | b44fa6ecbfd734aa0956ba5137f56c5f0381e57397c81c2f45290007f2153cd0 | c787e7de5356aab84edf84f3f5df73b4618ea202dfb522f9b38d848e0f9d2248 | d7ba62da3442f801edee1756f2952e05a7ead6e8235b8d419f1e7ac8c059aa55 | 0 | [
"6,986,496"
] | 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?
4036 x 1736
Think step by step.
## Here is the solution
7006496
## Here are the current task instructions
Count h... | verification | [] | 0 | 0 |
55 | {
"answer": "7006496",
"problem": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.",
"solution": "7006496"
} | 7006496 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(4036 \\times 1736\\), 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 \\(4036 \\times 1736\\), 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 ... | b44fa6ecbfd734aa0956ba5137f56c5f0381e57397c81c2f45290007f2153cd0 | c787e7de5356aab84edf84f3f5df73b4618ea202dfb522f9b38d848e0f9d2248 | d7ba62da3442f801edee1756f2952e05a7ead6e8235b8d419f1e7ac8c059aa55 | 0 | [
"6,986,496"
] | 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?
4036 x 1736
Think step by step.
## Here is the solution
7006496
## Here are the current task instructions
Count how ma... | backtracking | [] | 0 | 0 |
10 | {
"answer": "17088288",
"problem": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.",
"solution": "17088288"
} | 17088288 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 3017 \\times 5664 \\), 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 \\( 3017 \\times 5664 \\), 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... | f2fdc1d5ba0debd52faf6e3e7f5f33aa8c17522bb8532070354cb79877f44da5 | 5828c53cf39b65d37a8fba26ba60404bf3d5c7187d0ce5d5c2db799fdf1088ae | aac36e65554b79d7639931d148cfd4b60c3b1baa0754c87cb1f67b2934a8cba5 | 1 | [
"17088288"
] | 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?
3017 x 5664
Think step by step.
## Here is the solution
17088288
## Here are the current task instructions
Count ... | verification | [] | 0 | 0 |
10 | {
"answer": "17088288",
"problem": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.",
"solution": "17088288"
} | 17088288 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 3017 \\times 5664 \\), 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 \\( 3017 \\times 5664 \\), 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... | f2fdc1d5ba0debd52faf6e3e7f5f33aa8c17522bb8532070354cb79877f44da5 | 5828c53cf39b65d37a8fba26ba60404bf3d5c7187d0ce5d5c2db799fdf1088ae | aac36e65554b79d7639931d148cfd4b60c3b1baa0754c87cb1f67b2934a8cba5 | 1 | [
"17088288"
] | 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?
3017 x 5664
Think step by step.
## Here is the solution
17088288
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\(6031 \\times 5616\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a... | [
"To solve the long multiplication equation \\(6031 \\times 5616\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ... | a82c566ededfb8c0d8668342bb1de24d984efe944da0f2031a93e7af6086d7e8 | 2ced61a220581d2995b090f0bcb5eb43c1e1ae1746cd5afe11b514bb5e704796 | a0a16c7944aaf6db5faf120f028e24bed24c21de4a544c4cd350d519c9d49aac | 0 | [
"33,\\!870,\\!196"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6031 x 5616
Think step by step.
## Here is the solution
33870096
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\( 9749 \\times 4387 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9749 \\) by each digit of \\( 4387 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 9749 \\times 4387 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9749 \\) by each digit of \\( 4387 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | e0522682ad24b0aed4f34ef1e8e044a1782378c3c2f6927e87d74992c4d96074 | becad6f0f4beb11bd65e362810e50a9d19b522aa68cba6c3e14078f3a6060059 | a67723669c8da5f5ae8342b6f9d9cf8ab7e0733a595cd9dda6a064a92413a4a1 | 0 | [
"42,769,663"
] | 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?
9749 x 4387
Think step by step.
## Here is the solution
42768863
## Here are the current task instructions
Count ... | verification | [] | 0 | 0 |
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 long multiplication equation \\( 9749 \\times 4387 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9749 \\) by each digit of \\( 4387 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 9749 \\times 4387 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 9749 \\) by each digit of \\( 4387 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | e0522682ad24b0aed4f34ef1e8e044a1782378c3c2f6927e87d74992c4d96074 | becad6f0f4beb11bd65e362810e50a9d19b522aa68cba6c3e14078f3a6060059 | a67723669c8da5f5ae8342b6f9d9cf8ab7e0733a595cd9dda6a064a92413a4a1 | 0 | [
"42,769,663"
] | 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?
9749 x 4387
Think step by step.
## Here is the solution
42768863
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
70 | {
"answer": "10793616",
"problem": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"solution": "10793616"
} | 10793616 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 2616 \\times 4126 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then... | [
"To solve the long multiplication equation \\( 2616 \\times 4126 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin... | 15cdc11d5d1afa4b464374e7f8c43f95af2fb3add173ea0b152eeeb444cdf494 | 48d7f97da0a36ef0b00176a94148e23b1fc091218ca5f19d2d3c86f78bc0e976 | f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9 | 1 | [
"10793616"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification 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
Count ... | verification | [] | 0 | 0 |
70 | {
"answer": "10793616",
"problem": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"solution": "10793616"
} | 10793616 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 2616 \\times 4126 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then... | [
"To solve the long multiplication equation \\( 2616 \\times 4126 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin... | 15cdc11d5d1afa4b464374e7f8c43f95af2fb3add173ea0b152eeeb444cdf494 | 48d7f97da0a36ef0b00176a94148e23b1fc091218ca5f19d2d3c86f78bc0e976 | f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9 | 1 | [
"10793616"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how m... | backtracking | [] | 0 | 0 |
1 | {
"answer": "85049860",
"problem": "What is the solution to the long multiplication equation below?\n\n8660 x 9821\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8660 x 9821\n\nThink step by step.",
"solution": "85049860"
} | 85049860 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8660 x 9821\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8660 \\times 9821 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the ... | [
"To solve the long multiplication equation \\( 8660 \\times 9821 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, accounting for place value, and then adding all the partia... | 698aa5cb6555150eba51f5c1575ad3b425fd35594fc85b8fbc7b963752d3f11f | 831e837c58fd5ace437a4c89127b5f9b7431c9cd24cf5c9e67820a71b7136461 | 66b6db2a60e688220605acc4e362109453f11fa962fa10572630845fd83be98b | 1 | [
"85049860"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how m... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\( 2994 \\times 1121 \\), 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 (1121)\nThe number \\( 1121 \\) can be expressed as:\n\\[ 1121 = 1000 + 100 + 20 ... | [
"To solve the long multiplication equation \\( 2994 \\times 1121 \\), 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 (1121)\nThe number \\( 1121 \\) can be expressed as:\n\\[ 1121 = 1000 + 100 + 20 + 1 \\... | e7ba8ded213ef0b5f739b1aef119bee7ba1dd1bfda4865afa2fc4c9fe67db2ed | f72ad4193adbf0e3645dbd9356bac06a7c24c346d3bfaec7a00e93bee8e3812a | ffabdf448694b3fb5e403a1531417e046b2564e9bd3c2beef4301021ba197b01 | 1 | [
"3356274"
] | 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?
2994 x 1121
Think step by step.
## Here is the solution
3356274
## Here are the current task instructions
Count h... | verification | [] | 0 | 0 |
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 long multiplication equation \\( 2994 \\times 1121 \\), 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 (1121)\nThe number \\( 1121 \\) can be expressed as:\n\\[ 1121 = 1000 + 100 + 20 ... | [
"To solve the long multiplication equation \\( 2994 \\times 1121 \\), 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 (1121)\nThe number \\( 1121 \\) can be expressed as:\n\\[ 1121 = 1000 + 100 + 20 + 1 \\... | e7ba8ded213ef0b5f739b1aef119bee7ba1dd1bfda4865afa2fc4c9fe67db2ed | f72ad4193adbf0e3645dbd9356bac06a7c24c346d3bfaec7a00e93bee8e3812a | ffabdf448694b3fb5e403a1531417e046b2564e9bd3c2beef4301021ba197b01 | 1 | [
"3356274"
] | 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?
2994 x 1121
Think step by step.
## Here is the solution
3356274
## Here are the current task instructions
Count how ma... | backtracking | [] | 0 | 0 |
65 | {
"answer": "30116926",
"problem": "What is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.",
"solution": "30116926"
} | 30116926 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8258 \\times 3647 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8258 \\) by each digit of \\( 3647 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 8258 \\times 3647 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8258 \\) by each digit of \\( 3647 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 996ec95ca3ac9d373af27e4ac12d0e635dd0e9f8b9132aa09180c7701587e4ec | e1f5c6e24e487370b5bed2d02caa5202fe9caeaf112031d2110ef2e5f94af3cf | 4b6fefe27e4b8c25759e4f38156fde360e248937600bc0f2e45524fdd9b79d39 | 0 | [
"29,\\!116,\\!826"
] | 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?
8258 x 3647
Think step by step.
## Here is the solution
30116926
## Here are the current task instructions
Count ... | verification | [] | 0 | 0 |
65 | {
"answer": "30116926",
"problem": "What is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.",
"solution": "30116926"
} | 30116926 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8258 x 3647\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8258 \\times 3647 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8258 \\) by each digit of \\( 3647 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 8258 \\times 3647 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8258 \\) by each digit of \\( 3647 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 996ec95ca3ac9d373af27e4ac12d0e635dd0e9f8b9132aa09180c7701587e4ec | e1f5c6e24e487370b5bed2d02caa5202fe9caeaf112031d2110ef2e5f94af3cf | 4b6fefe27e4b8c25759e4f38156fde360e248937600bc0f2e45524fdd9b79d39 | 0 | [
"29,\\!116,\\!826"
] | 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?
8258 x 3647
Think step by step.
## Here is the solution
30116926
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
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 long multiplication equation \\(1791 \\times 4452\\), 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 \\(1791 \\times 4452\\), 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 ... | c77f6edf353d39a8ca42fde3da14f3bdd71df18815a0ca892e4473f2fab5e2b4 | 2c903c628137f50088bb3c2b9e539ce9dc0dc79de945bfc9846ee312d36939fd | d6d7f29613fd4431a5e7218c59c2890c92f7196483eec4e2e540c6a36394a7bc | 1 | [
"7973532"
] | 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?
1791 x 4452
Think step by step.
## Here is the solution
7973532
## Here are the current task instructions
Count h... | verification | [] | 0 | 0 |
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 long multiplication equation \\(1791 \\times 4452\\), 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 \\(1791 \\times 4452\\), 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 ... | c77f6edf353d39a8ca42fde3da14f3bdd71df18815a0ca892e4473f2fab5e2b4 | 2c903c628137f50088bb3c2b9e539ce9dc0dc79de945bfc9846ee312d36939fd | d6d7f29613fd4431a5e7218c59c2890c92f7196483eec4e2e540c6a36394a7bc | 1 | [
"7973532"
] | 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?
1791 x 4452
Think step by step.
## Here is the solution
7973532
## Here are the current task instructions
Count how ma... | backtracking | [] | 0 | 0 |
42 | {
"answer": "17540394",
"problem": "What is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.",
"solution": "17540394"
} | 17540394 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(5466 \\times 3209\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all th... | [
"To solve the long multiplication equation \\(5466 \\times 3209\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding all the part... | a33b4e0e33c177b6caa9e17adbfcb4525a141dc2dc1071a4d91238d263036611 | b8364f436351fb35d56fa69fd2cefe4bbae4613022c67abc8293c54438a8d078 | 62e474cceae931bd86f7090ac450cc0f1539e720666c7e618f13bb966719abf3 | 1 | [
"17540394"
] | 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?
5466 x 3209
Think step by step.
## Here is the solution
17540394
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
75 | {
"answer": "22352715",
"problem": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.",
"solution": "22352715"
} | 22352715 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 3465 by 6451. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3465... | [
"<think>\nOkay, so I need to multiply 3465 by 6451. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3465\nx 64... | ff6c9b873d2fff8637c170170379b755373e40832d1933d63b934821d4a8c56e | 75fb22c51ab1142da3fd5b44660a005234888b14907384b73bc0d5372c14f8d4 | 19eb9b6642aa9fe2cacf2d5d3796fc926c76b39cfbcbcc619460fed5a7523ffa | 1 | [
"22352715"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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 how m... | backtracking | [] | 0 | 0 |
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... | [
[
"<think>\nOkay, so I need to multiply 5085 by 4245. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 5085 by 4245. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | d7e732b48173ff5714ec0d31805037ade0dff93ad6014768ec8596414cba9513 | 4a82a7eb9f445c64cccfa085b6908f2ed10d79882f974f7ee9e20b4a1e904514 | 4329490bbf93890682c108388448692bea2354f8b7cb5c168dc9975130e11f51 | 1 | [
"21585825"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5085 x 4245
Think step by step.
## Here is the solution
21585825
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
88 | {
"answer": "11827597",
"problem": "What is the solution to the long multiplication equation below?\n\n6157 x 1921\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6157 x 1921\n\nThink step by step.",
"solution": "11827597"
} | 11827597 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6157 x 1921\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 6157 by 1921. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 6157 by 1921. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | 243b9c4e28d8934b924bebe8d5a457c0392061e515f13bf031dd7c48e6e1dfaf | e95a0e75e9d1aa072a098dc54c1ff612c4ef8821308fdd3fa11b47dc7a684e93 | 07c43af6fbc6be8ec559300763b04edaa9cfaa0897820ecb24d49c71ab9c329d | 1 | [
"11827597"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how m... | backtracking | [] | 0 | 0 |
64 | {
"answer": "43862210",
"problem": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.",
"solution": "43862210"
} | 43862210 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 4930 by 8897. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b... | [
"<think>\nOkay, so I need to multiply 4930 by 8897. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu... | eb6ed3d25164b2d00ec66dfc8d79a1ab7a4dc1f23738d15d7f24ece14f66a314 | 774ef55700e2f98a5694c22033310a05dd41c4b3faee012cae98784a1cf9ac08 | aeb73f2d31217126e241e197dbaa210f4a89e6eb946dc1d06f265a9f1b6d1350 | 1 | [
"43862210"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4930 x 8897
Think step by step.
## Here is the solution
43862210
## Here are the current task instructions
Count how m... | backtracking | [] | 0 | 0 |
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... | [
[
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces... | [
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | 15cdc11d5d1afa4b464374e7f8c43f95af2fb3add173ea0b152eeeb444cdf494 | 48d7f97da0a36ef0b00176a94148e23b1fc091218ca5f19d2d3c86f78bc0e976 | f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9 | 0 | [
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2616 x 4126
Think step by step.
## Here is the solution
10793616
## Here are the current task instructions
Count ... | verification | [] | 0 | 0 |
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 multiplication of 6371 by 3925 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6371\n x 3925\n ```\n\n2. **Multiply 6371 by each digit of 3925, starting from the rightm... | [
"To solve the multiplication of 6371 by 3925 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6371\n x 3925\n ```\n\n2. **Multiply 6371 by each digit of 3925, starting from the rightmost di... | f6755d42a963559aee55bec78a3a7639815f39209be434281a07b50c0f871e6c | 1a365e3fa99dc1845f24501b273a116e82dbbc04889abceafd0d0da34053b5b4 | 84301854687cf651508c24cd0279650fe211b78bb04a390c7e28222a0dc5a2f5 | 0 | [
"To solve the multiplication of 6371 by 3925 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6371\n x 3925\n ```\n\n2. **Multiply 6371 by each digit of 3925, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This snippet shows the model setting a sub-goal of breaking the problem into simpler parts.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 310,
"explanation": "This... | 0 | 6 |
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 multiplication of 7170 by 4468 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 7170\n x 4468\n ```\n\n2. **Multiply 7170 by each digit of 4468, starting from the rightm... | [
"To solve the multiplication of 7170 by 4468 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 7170\n x 4468\n ```\n\n2. **Multiply 7170 by each digit of 4468, starting from the rightmost di... | 105349441fd899fa97f0ebdf9168ed245a30d5fcf30c7c4cdb119911efb130fb | c1e626667be5808a0fd372481fe6ee2c64e91497b2d863503a068247ea83b654 | c9f79caea0d4b141582c9ad202a50a1bdc8c3a1534a6469a1be242ce7231ca9a | 0 | [
"To solve the multiplication of 7170 by 4468 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 7170\n x 4468\n ```\n\n2. **Multiply 7170 by each digit of 4468, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This indicates setting the sub-goal of breaking down the multiplications into simpler parts to tackle the problem.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 310,
... | 0 | 4 |
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 multiplication of 3520 by 5131 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 3520\n x 5131\n ```\n\n2. **Multiply 3520 by each digit of 5131, starting from the rightmost digit**:\n\n - **Multiply b... | [
"To solve the multiplication of 3520 by 5131 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 3520\n x 5131\n ```\n\n2. **Multiply 3520 by each digit of 5131, starting from the rightmost digit**:\n\n - **Multiply by 1 (t... | a2f1bdfe252810b633d599ba3e54711d1f9e0076909a64b77e7053cd67276dc2 | a301e58ab8174fac26d55f49c8d62d2ccafc462968b15e82322890ea6d48e789 | db1efa6b28b6f0ace487532d0c48a25f16cd53366954a194bf7aa23dfe6134a7 | 0 | [
"To solve the multiplication of 3520 by 5131 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 3520\n x 5131\n ```\n\n2. **Multiply 3520 by each digit of 5131, starting from the rightmost digit**:\n\n - **Multiply by 1 (t... | TAUR-dev/evals__distilled_gpt4omini__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": 97,
"explanation": "The model explicitly states that it will break down the multiplication into simpler parts, which is a sub-goal of the larger multiplication task.",
"idx": 0,
"span": "break it down into simpler parts",
"start_idx": 65
},
{
"end_idx": 277,
"explanation... | 0 | 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 multiplication of 3848 by 5968 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3848\n x 5968\n ________\n```\n\n2. **Multiply 3848 by each digit of 5968, starting from the r... | [
"To solve the multiplication of 3848 by 5968 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3848\n x 5968\n ________\n```\n\n2. **Multiply 3848 by each digit of 5968, starting from the rightmo... | 67e139c1ec46689ac2d4c0cf303c101772e239bf62ac3b9d0363df25ff364758 | dcb052e45c88ee84c058ff00b17e7565da4e9e87938bb147efde0590618fce05 | 42c84201700d810185282cff80ac555248b14235fdc8404de189e5e88650afac | 0 | [
"To solve the multiplication of 3848 by 5968 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3848\n x 5968\n ________\n```\n\n2. **Multiply 3848 by each digit of 5968, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This snippet indicates the initial intention to break down the task into smaller components.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 314,
"explanation": "Thi... | 0 | 5 |
35 | {
"answer": "13003956",
"problem": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.",
"solution": "13003956"
} | 13003956 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 5562 by 2338 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5562\n x 2338\n ```\n\n2. **Multiply each digit of the bottom number (2338) by the top number (5562)**, starting from the rig... | [
"To solve the multiplication of 5562 by 2338 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5562\n x 2338\n ```\n\n2. **Multiply each digit of the bottom number (2338) by the top number (5562)**, starting from the rightmost... | 923c71763bc60df33faacafd60cb3344638315ee24c3abd40c7bfe614aea4d06 | 34f99b301f34f5bc6b80d1b7f90d2f431516cc3246c47360e479020cee4edc35 | 6a7da9c68366029fa97d213da6a2091c3aca782e895270dc623b06292598a00f | 0 | [
"To solve the multiplication of 5562 by 2338 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5562\n x 2338\n ```\n\n2. **Multiply each digit of the bottom number (2338) by the top number (5562)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5562 x 2338
Think step by step.
## Here is the solution
13003956
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 314,
"explanation": "This is an explicit sub-goal where the model defines the task of multiplying the multiplicands digit by digit.",
"idx": 0,
"span": "Multiply each digit of the bottom number (2338) by the top number (5562), starting from the rightmost digit:",
"start_idx": 204
... | 0 | 3 |
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 multiplication problem \\( 6838 \\times 1299 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6838\n x 1299\n ```\n\n2. **Multiply each digit of the bottom number (1299) by the top numb... | [
"To solve the multiplication problem \\( 6838 \\times 1299 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6838\n x 1299\n ```\n\n2. **Multiply each digit of the bottom number (1299) by the top number (68... | 12affd463da3378c6575dcbfa7412dd67ab0ecd6cfd0671e1cb584428069b831 | 98d1e45af31cde86c96be980508076b0a5389b1b2fa4e9b0b683093742a49def | 607d4b82535dda4f178b0a3d3286bcd68ac497be23fdcae580c31944f48a8303 | 0 | [
"To solve the multiplication problem \\( 6838 \\times 1299 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6838\n x 1299\n ```\n\n2. **Multiply each digit of the bottom number (1299) by the top number (68... | TAUR-dev/evals__distilled_gpt4omini__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": 130,
"explanation": "This sets a sub-goal of breaking down the main multiplication problem into manageable steps.",
"idx": 0,
"span": "we can break it down using the long multiplication method",
"start_idx": 73
},
{
"end_idx": 344,
"explanation": "This establishes an exp... | 0 | 5 |
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 multiplication problem \\( 6157 \\times 1921 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6157\n x 1921\n ```\n\n2. **Multiply the bottom number by each digit of the top number, sta... | [
"To solve the multiplication problem \\( 6157 \\times 1921 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6157\n x 1921\n ```\n\n2. **Multiply the bottom number by each digit of the top number, starting ... | 243b9c4e28d8934b924bebe8d5a457c0392061e515f13bf031dd7c48e6e1dfaf | e95a0e75e9d1aa072a098dc54c1ff612c4ef8821308fdd3fa11b47dc7a684e93 | 07c43af6fbc6be8ec559300763b04edaa9cfaa0897820ecb24d49c71ab9c329d | 0 | [
"To solve the multiplication problem \\( 6157 \\times 1921 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6157\n x 1921\n ```\n\n2. **Multiply the bottom number by each digit of the top number, starting ... | TAUR-dev/evals__distilled_gpt4omini__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": 131,
"explanation": "This statement indicates the intention to divide the problem into more manageable parts, setting a sub-goal to follow the long multiplication method.",
"idx": 0,
"span": "We can break it down using the long multiplication method.",
"start_idx": 73
},
{
"... | 0 | 5 |
64 | {
"answer": "43862210",
"problem": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.",
"solution": "43862210"
} | 43862210 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4930 x 8897\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 4930 by 8897 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Set up the multiplication**:\n ```\n 4930\n x 8897\n ```\n\n2. **Multiply 4930 by each digit of 8897, starting from the rightmost digit**:\n\n - **Multiply ... | [
"To solve the multiplication of 4930 by 8897 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Set up the multiplication**:\n ```\n 4930\n x 8897\n ```\n\n2. **Multiply 4930 by each digit of 8897, starting from the rightmost digit**:\n\n - **Multiply by 7 (... | eb6ed3d25164b2d00ec66dfc8d79a1ab7a4dc1f23738d15d7f24ece14f66a314 | 774ef55700e2f98a5694c22033310a05dd41c4b3faee012cae98784a1cf9ac08 | aeb73f2d31217126e241e197dbaa210f4a89e6eb946dc1d06f265a9f1b6d1350 | 0 | [
"To solve the multiplication of 4930 by 8897 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Set up the multiplication**:\n ```\n 4930\n x 8897\n ```\n\n2. **Multiply 4930 by each digit of 8897, starting from the rightmost digit**:\n\n - **Multiply by 7 (... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4930 x 8897
Think step by step.
## Here is the solution
43862210
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 98,
"explanation": "The model explicitly states it will break down the multiplication into simpler parts, indicating the creation of sub-goals.",
"idx": 0,
"span": "To solve the multiplication of 4930 by 8897 step by step, we can break it down into simpler parts.",
"start_idx": 0
... | 0 | 5 |
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 multiplication of 2526 by 4576 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 2526\n x 4576\n ________\n```\n\n2. **Multiply 2526 by each digit of 4576, starting from the r... | [
"To solve the multiplication of 2526 by 4576 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 2526\n x 4576\n ________\n```\n\n2. **Multiply 2526 by each digit of 4576, starting from the rightmo... | 4fdf4354c82bff0109d257d5b6764ee16963501349dff3351fc5f10081fdcbde | cb244c804796167b7f9ceb7f75988f6e4069d4401d926e57a960b0b7eb9ab52a | 8dd28f826e4804e80e18bab727240ce2f29df5145b7e76906ebc055138c244b3 | 0 | [
"To solve the multiplication of 2526 by 4576 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 2526\n x 4576\n ________\n```\n\n2. **Multiply 2526 by each digit of 4576, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__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?
2526 x 4576
Think step by step.
## Here is the solution
11558976
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 134,
"explanation": "This snippet indicates the intention to simplify the problem into smaller, manageable parts, indicating the creation of sub-goals.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method",
"start_idx": 58
},
{
"e... | 0 | 4 |
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 multiplication of 7182 by 4309 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7182\n x 4309\n ```\n\n2. **Multiply 7182 by each digit of 4309, starting from the rightmo... | [
"To solve the multiplication of 7182 by 4309 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7182\n x 4309\n ```\n\n2. **Multiply 7182 by each digit of 4309, starting from the rightmost dig... | d281ba14066f51d914ba924280679d5a7e0f99e36782b246d6a3bda7644b10e3 | b0d9bcd726620a61dc8c74d88f2153fb37f3dbcb6a3f2a470f5ce355953886e4 | b01ac4611f17e54f4e68129547a7f1365da1f9e19cb35698981a01c1aacc12a2 | 0 | [
"To solve the multiplication of 7182 by 4309 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7182\n x 4309\n ```\n\n2. **Multiply 7182 by each digit of 4309, starting from the rightmost dig... | TAUR-dev/evals__distilled_gpt4omini__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": 134,
"explanation": "This snippet indicates the intention to break the main goal into simpler parts, a common sub-goal setting.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method",
"start_idx": 58
},
{
"end_idx": 309,
"expla... | 0 | 5 |
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 of 4098 by 1982 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n```\n 4098\n x 1982\n ________\n```\n\n2. **Multiply 4098 by each digit of 1982, starting from the rightmost digit**:\n\n - **Multiply by 2 (the right... | [
"To solve the multiplication of 4098 by 1982 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n```\n 4098\n x 1982\n ________\n```\n\n2. **Multiply 4098 by each digit of 1982, starting from the rightmost digit**:\n\n - **Multiply by 2 (the rightmost d... | 2bda6e069b3b7dfaa5fb9903dd50e880fba91bf478b2931f1270ad0dc8d4c2e1 | c7869162a3c6102a52b8d5d3e2aa9870ceec3a260b3a6abb17715c53d0394c7d | 054b3571eb9d73a52c39b2f322ffcc6d5d52a0a7a2f494c7eb36b50d41bc2208 | 0 | [
"To solve the multiplication of 4098 by 1982 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n```\n 4098\n x 1982\n ________\n```\n\n2. **Multiply 4098 by each digit of 1982, starting from the rightmost digit**:\n\n - **Multiply by 2 (the rightmost d... | TAUR-dev/evals__distilled_gpt4omini__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": 105,
"explanation": "This is a clear indication that the model is creating sub-goals by stating it will break the solution process into manageable steps.",
"idx": 0,
"span": "we can break it down step by step.",
"start_idx": 71
},
{
"end_idx": 262,
"explanation": "This i... | 0 | 5 |
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 of 7039 by 4694 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 7039\n x 4694\n ```\n\n2. **Multiply 7039 by each digit of 4694, starting from the rightm... | [
"To solve the multiplication of 7039 by 4694 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 7039\n x 4694\n ```\n\n2. **Multiply 7039 by each digit of 4694, starting from the rightmost di... | 3c91ed3eb0a59a040cda0c065f937e99303d3135742aa0e0e22e496a02e82a6c | 857ebaa120403a9bd2278102f222137bac5cc6cd03dac9084e0782b181acfd3d | 1dba8f47a0364f3b46d3c7346e1b3d6705fb8bd49b00ff19b5c18ee30771e9da | 0 | [
"To solve the multiplication of 7039 by 4694 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 7039\n x 4694\n ```\n\n2. **Multiply 7039 by each digit of 4694, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This sentence explicitly states the intention to break down the problem into simpler parts, which is a clear example of creating a sub-goal.",
"idx": 0,
"span": "To solve the multiplication of 7039 by 4694 step by step, we can break it down into simpler parts using ... | 0 | 4 |
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 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Set up the multiplication**:\n ```\n 2983\n x 9360\n ```\n\n2. **Multiply 2983 by each digit of 9360, starting from the rightmost digit**:\n\n - **Multiply ... | [
"To solve the multiplication of 2983 by 9360 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Set up the multiplication**:\n ```\n 2983\n x 9360\n ```\n\n2. **Multiply 2983 by each digit of 9360, starting from the rightmost digit**:\n\n - **Multiply by 0 (... | 049b734fc33b4d136be3940d181cef03c74ac3683c0b8e7532b8a741d83152e9 | 8a73ad045d104953ef589b56ac66669f0147b013b439daba0d0e513b5d9b5f41 | 1524b58d71fd3c67a0c7fa073af5f0a366117855afc1af1e1a3a3f74fcf69775 | 0 | [
"To solve the multiplication of 2983 by 9360 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Set up the multiplication**:\n ```\n 2983\n x 9360\n ```\n\n2. **Multiply 2983 by each digit of 9360, starting from the rightmost digit**:\n\n - **Multiply by 0 (... | TAUR-dev/evals__distilled_gpt4omini__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": 98,
"explanation": "This statement indicates the intent to break down the problem into smaller, manageable parts, showing the intention of setting sub-goals.",
"idx": 0,
"span": "To solve the multiplication of 2983 by 9360 step by step, we can break it down into simpler parts.",
"st... | 0 | 5 |
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 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7222\n x 4993\n ```\n\n2. **Multiply each digit of the bottom number (4993) by the top number (7222)**, start... | [
"To solve the multiplication of 7222 by 4993 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7222\n x 4993\n ```\n\n2. **Multiply each digit of the bottom number (4993) by the top number (7222)**, starting fr... | ecdf1cd125c43607d77629ed85af3c399c3128f4b19097218c6d2d3c362af5b0 | f81a68b0aad63474c340b8e091c2b768b79055538ecc2e0fc9268096d2306716 | 48db18f274b8d04206205e1fbfb74aba904b40b01b0b5ebaa0d05ef456ec7804 | 0 | [
"To solve the multiplication of 7222 by 4993 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7222\n x 4993\n ```\n\n2. **Multiply each digit of the bottom number (4993) by the top number (7222)**, starting fr... | TAUR-dev/evals__distilled_gpt4omini__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": 116,
"explanation": "This snippet indicates the intent to break down the problem into smaller steps, setting the stage for the calculation.",
"idx": 0,
"span": "To solve the multiplication of 7222 by 4993 step by step, we can break it down using the long multiplication method.",
"st... | 0 | 5 |
43 | {
"answer": "8440497",
"problem": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"solution": "8440497"
} | 8440497 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 1807 by 4671 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 1807\n x 4671\n ```\n\n2. **Multiply 1807 by each digit of 4671, starting from the rightm... | [
"To solve the multiplication of 1807 by 4671 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 1807\n x 4671\n ```\n\n2. **Multiply 1807 by each digit of 4671, starting from the rightmost di... | 6de761d2605b3a2028b0147438297deade10a816c5dfd2d1469147c6f0ee0d0b | 31db4eba81ffd5b079eb8ed95ed77da101c75e5970cde973a07df3fa5a249e76 | 8bb45eb75298b7f2c239ca65ddea6adaded0956fdbe6210da81f3a4319288921 | 0 | [
"To solve the multiplication of 1807 by 4671 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 1807\n x 4671\n ```\n\n2. **Multiply 1807 by each digit of 4671, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1807 x 4671
Think step by step.
## Here is the solution
8440497
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 135,
"explanation": "This sentence explicitly states that the model is breaking down the problem into simpler parts, setting the overarching goal of using long multiplication.",
"idx": 0,
"span": "To solve the multiplication of 1807 by 4671 step by step, we can break it down into simple... | 0 | 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 multiplication of 8281 by 9949 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8281\n x 9949\n ```\n\n2. **Multiply each digit of the bottom number (9949) by the top number (8281)**, starting from the rig... | [
"To solve the multiplication of 8281 by 9949 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8281\n x 9949\n ```\n\n2. **Multiply each digit of the bottom number (9949) by the top number (8281)**, starting from the rightmost... | 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 works:\n\n1. **Write the numbers vertically**:\n ```\n 8281\n x 9949\n ```\n\n2. **Multiply each digit of the bottom number (9949) by the top number (8281)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__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": 100,
"explanation": "This sentence establishes the sub-goal of solving the multiplication step by step, indicating a structured approach.",
"idx": 0,
"span": "To solve the multiplication of 8281 by 9949 step by step, we can use the long multiplication method.",
"start_idx": 0
},
... | 0 | 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 of 6339 by 4764 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 6339\n x 4764\n ________\n```\n\n2. **Multiply 6339 by each digit of 4764, starting from the r... | [
"To solve the multiplication of 6339 by 4764 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 6339\n x 4764\n ________\n```\n\n2. **Multiply 6339 by each digit of 4764, starting from the rightmo... | bf7ac6a89ccec0a5187f14dafb8c6559cacf7d0b55b54355bcd41ff11e65cafc | dba7e6306e26a0d9bacc926d8ac32c2f1bd06db73eed8b66a08fcd46ca34c755 | 8ec945bd7a4da696c39823dad39685086470b5c9e69db3e00aa4a3f7509aa5c1 | 0 | [
"To solve the multiplication of 6339 by 4764 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 6339\n x 4764\n ________\n```\n\n2. **Multiply 6339 by each digit of 4764, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__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": 134,
"explanation": "This statement sets the sub-goal of breaking down the problem into smaller parts.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method",
"start_idx": 58
},
{
"end_idx": 314,
"explanation": "This indicates ... | 0 | 5 |
67 | {
"answer": "82799430",
"problem": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.",
"solution": "82799430"
} | 82799430 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 9870 by 8389 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 9870\n x 8389\n ```\n\n2. **Multiply each digit of the bottom number (8389) by the top nu... | [
"To solve the multiplication of 9870 by 8389 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 9870\n x 8389\n ```\n\n2. **Multiply each digit of the bottom number (8389) by the top number (... | ae9e7e6b969a499659a1bee98e8450b110a211d9dc04c5689f82cd5be3346945 | c8ad58af76f2034a08c5358f27ad3afa2746d289a4991abc17dcd7ba3bb42f49 | ce34a85ebe917cd5776ef5cc2d4ed9f1492ccccd2cf211376c114fe2d9dccc69 | 0 | [
"To solve the multiplication of 9870 by 8389 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 9870\n x 8389\n ```\n\n2. **Multiply each digit of the bottom number (8389) by the top number (... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9870 x 8389
Think step by step.
## Here is the solution
82799430
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This snippet introduces the breakdown of a complex problem (the multiplication) into simpler parts, indicating the creation of sub-goals.",
"idx": 0,
"span": "To solve the multiplication of 9870 by 8389 step by step, we can break it down into simpler parts using the... | 0 | 7 |
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 multiplication of 4366 by 7939 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 4366\n x 7939\n ________\n```\n\n2. **Multiply 4366 by each digit of 7939, starting from the r... | [
"To solve the multiplication of 4366 by 7939 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 4366\n x 7939\n ________\n```\n\n2. **Multiply 4366 by each digit of 7939, starting from the rightmo... | 32eb0514336fe04ea4a806e2382b0961b7f18fd783b7087ef5a8bc13e73ca6b7 | 5f1b01505b265eb78c13648f5f4ae414d03679a259118f1da1bb3b93904a5ccc | 44b77d8f0ec2ca4140541a3648340fc3bef9d4dad405363f64fd93d907202ec5 | 0 | [
"To solve the multiplication of 4366 by 7939 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 4366\n x 7939\n ________\n```\n\n2. **Multiply 4366 by each digit of 7939, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__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": 134,
"explanation": "This indicates the speaker's intent to simplify the problem by breaking it down into sub-goals.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method",
"start_idx": 58
},
{
"end_idx": 314,
"explanation": "T... | 0 | 5 |
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 multiplication of 2171 by 1081 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2171\n x 1081\n ```\n\n2. **Multiply 2171 by each digit of 1081, starting from the rightmost digit**:\n\n - **Multiply by ... | [
"To solve the multiplication of 2171 by 1081 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2171\n x 1081\n ```\n\n2. **Multiply 2171 by each digit of 1081, starting from the rightmost digit**:\n\n - **Multiply by 1 (the... | 429fbf70a25497b4ebc13a61f790ce87311d94970ce90da01b46c57f1e646c7c | f047254650a01855da6e271a6816b1adb47319c425b95e2571feeed50acc30de | 4c00f8817c0801383bb215c04fe14606248ff7848cf4493716408c5d66d7260c | 0 | [
"To solve the multiplication of 2171 by 1081 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2171\n x 1081\n ```\n\n2. **Multiply 2171 by each digit of 1081, starting from the rightmost digit**:\n\n - **Multiply by 1 (the... | TAUR-dev/evals__distilled_gpt4omini__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?
2171 x 1081
Think step by step.
## Here is the solution
2346851
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 330,
"explanation": "This indicates the model is setting a sub-goal to multiply by the rightmost digit of the second number.",
"idx": 0,
"span": "Multiply by 1 (the rightmost digit of 1081)",
"start_idx": 287
},
{
"end_idx": 468,
"explanation": "This is another sub-goal ... | 0 | 3 |
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 multiplication of 9508 by 1086 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n ```\n 9508\n x 1086\n ```\n\n2. **Multiply 9508 by each digit of 1086, starting from the rightmost digit**:\n\n - **Multiply by 6 (the rightmost... | [
"To solve the multiplication of 9508 by 1086 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n ```\n 9508\n x 1086\n ```\n\n2. **Multiply 9508 by each digit of 1086, starting from the rightmost digit**:\n\n - **Multiply by 6 (the rightmost digit... | d9405fece4886e57617e9a48525436f5f2ab9547f983433fe1714d1703ee428c | c93933147aa2be416d7c8d268756a564459c8cbc98e5bd3dfe07698b77862e88 | ff62f55a3d8f17d91ef7e4d1b656002294a2fcf66f690c376237964d7119db15 | 0 | [
"To solve the multiplication of 9508 by 1086 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n ```\n 9508\n x 1086\n ```\n\n2. **Multiply 9508 by each digit of 1086, starting from the rightmost digit**:\n\n - **Multiply by 6 (the rightmost digit... | TAUR-dev/evals__distilled_gpt4omini__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": 105,
"explanation": "This asserts the intention to divide the multiplication into manageable steps, indicating the formation of sub-goals.",
"idx": 0,
"span": "we can break it down step by step.",
"start_idx": 71
},
{
"end_idx": 259,
"explanation": "This specifies a clea... | 0 | 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 of 7288 by 2198 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7288\n x 2198\n ```\n\n2. **Multiply 7288 by each digit of 2198, starting from the rightmost digit**:\n\n -... | [
"To solve the multiplication of 7288 by 2198 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7288\n x 2198\n ```\n\n2. **Multiply 7288 by each digit of 2198, starting from the rightmost digit**:\n\n - **Mul... | a51c0957f50fa15eafbff2921eb312d3c27cbf12236a91343141281c003a8ed2 | 8bdcd4e13e8dcbd9737fc289780913164ac63514d397a4a5c14391f5c7056a4f | 9206edebcc38e5031f20dd0a3b4f4b6deebc23e097872bd701e91ea7b807d576 | 0 | [
"To solve the multiplication of 7288 by 2198 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7288\n x 2198\n ```\n\n2. **Multiply 7288 by each digit of 2198, starting from the rightmost digit**:\n\n - **Mul... | TAUR-dev/evals__distilled_gpt4omini__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": 115,
"explanation": "This indicates the intention to decompose the problem into smaller parts.",
"idx": 0,
"span": "we can break it down using the long multiplication method",
"start_idx": 58
},
{
"end_idx": 290,
"explanation": "This sets a sub-goal of processing each di... | 0 | 4 |
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 multiplication of 4704 by 9404 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 4704\n x 9404\n ________\n```\n\n2. **Multiply 4704 by each digit of 9404, starting from the rightmost digit**:\n\... | [
"To solve the multiplication of 4704 by 9404 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 4704\n x 9404\n ________\n```\n\n2. **Multiply 4704 by each digit of 9404, starting from the rightmost digit**:\n\n - ... | b24a68f7e17bec4c6ff23b4137d5d7129965297562a7708c10ec84e63bb76024 | 841a1d1dce8d0f5fd3ce41f901c534ad8be02bfe57807fc707551c88d78a620b | 20b3b771613e89e037700619d5f4ed090b3a662a348b1476ba8a487f34dbe3e2 | 0 | [
"To solve the multiplication of 4704 by 9404 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 4704\n x 9404\n ________\n```\n\n2. **Multiply 4704 by each digit of 9404, starting from the rightmost digit**:\n\n - ... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4704 x 9404
Think step by step.
## Here is the solution
44236416
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 116,
"explanation": "This snippet indicates the intention to break down the problem into manageable parts, which is a form of setting a sub-goal.",
"idx": 0,
"span": "To solve the multiplication of 4704 by 9404 step by step, we can break it down using the long multiplication method.",
... | 0 | 5 |
51 | {
"answer": "29001510",
"problem": "What is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.",
"solution": "29001510"
} | 29001510 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 6990 by 4149 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6990\n x 4149\n ```\n\n2. **Multiply 6990 by each digit of 4149, starting from the rightm... | [
"To solve the multiplication of 6990 by 4149 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6990\n x 4149\n ```\n\n2. **Multiply 6990 by each digit of 4149, starting from the rightmost di... | b32f9ea575f2db204a67bc5069fe8153e7400256229d32aa2bbc5b921e26fca2 | e18f378a2d10eee7636f31d55d977237c790297de1cf14cf1467fcf385b6fb59 | d787079ff7ee54366c2d20f1d3e4f3bf86cf06c3acb1f54392fc15a2447f3b48 | 0 | [
"To solve the multiplication of 6990 by 4149 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6990\n x 4149\n ```\n\n2. **Multiply 6990 by each digit of 4149, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__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?
6990 x 4149
Think step by step.
## Here is the solution
29001510
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 97,
"explanation": "This indicates the intention to divide the primary task into smaller, more manageable components.",
"idx": 0,
"span": "break it down into simpler parts",
"start_idx": 65
},
{
"end_idx": 310,
"explanation": "The model sets a specific sub-goal to multip... | 0 | 5 |
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 multiplication of 1014 by 7018 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 1014\n x 7018\n ________\n```\n\n2. **Multiply 1014 by each digit of 7018, starting from the rightmost digit**:\n\... | [
"To solve the multiplication of 1014 by 7018 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 1014\n x 7018\n ________\n```\n\n2. **Multiply 1014 by each digit of 7018, starting from the rightmost digit**:\n\n - ... | 9ae7734e6d4e245781734e1ce6e41be6b3f1c4393303f1e5283239b0930cad5c | b83a891f234a26c097440bfcdee9f4d5833c37332c18c3d16d0b4da8b5d91a4e | 2011ce3c349cb8f96857b179dbe2fd74a33f85986f1ea124fba66d1a15b5950f | 0 | [
"To solve the multiplication of 1014 by 7018 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 1014\n x 7018\n ________\n```\n\n2. **Multiply 1014 by each digit of 7018, starting from the rightmost digit**:\n\n - ... | TAUR-dev/evals__distilled_gpt4omini__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": 116,
"explanation": "This statement sets the first sub-goal of breaking down the problem into a manageable method.",
"idx": 0,
"span": "To solve the multiplication of 1014 by 7018 step by step, we can break it down using the long multiplication method.",
"start_idx": 0
},
{
... | 0 | 4 |
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 of 3345 by 6520 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 3345\n x 6520\n ```\n\n2. **Multiply 3345 by each digit of 6520, starting from the rightmost digit**:\n\n - **Multiply b... | [
"To solve the multiplication of 3345 by 6520 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 3345\n x 6520\n ```\n\n2. **Multiply 3345 by each digit of 6520, starting from the rightmost digit**:\n\n - **Multiply by 0 (t... | 743b265faf6467497c9406ceacb0e03377b2a8d1e1843eab587e81a0a9e939cb | 624940a7c23e528ab428c0e24812155f3a1abdc71aefe45959e3b495807093ac | cc64dde1d4ce5a46f25ce41f178defe29363a017bab32ddb20167da48970b6cc | 0 | [
"To solve the multiplication of 3345 by 6520 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 3345\n x 6520\n ```\n\n2. **Multiply 3345 by each digit of 6520, starting from the rightmost digit**:\n\n - **Multiply by 0 (t... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3345 x 6520
Think step by step.
## Here is the solution
21809400
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 98,
"explanation": "This indicates the intention to create sub-goals by breaking down the overall multiplication task into manageable segments.",
"idx": 0,
"span": "we can break it down into simpler parts.",
"start_idx": 58
},
{
"end_idx": 277,
"explanation": "This sets ... | 0 | 6 |
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 step by step.\n\n1. **Write the numbers vertically**:\n ```\n 9275\n x 3572\n ```\n\n2. **Multiply 9275 by each digit of 3572, starting from the rightmost digit**:\n\n - **Multiply by 2 (the rightmost ... | [
"To solve the multiplication of 9275 by 3572 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n ```\n 9275\n x 3572\n ```\n\n2. **Multiply 9275 by each digit of 3572, starting from the rightmost digit**:\n\n - **Multiply by 2 (the rightmost digit ... | 3c81eef7624b254e40f20cf11ddb9ac6a3a843b79f2b65a31555f9e8992d07d0 | 5c8988a856dd951e684dd7756f10caccb99943d8bccbe129de1a00908dbb668d | ac960ec003b1eddcd90ebec8b1a4d7ac82a75c4d33eb398837cc2dc8cfdd6719 | 0 | [
"To solve the multiplication of 9275 by 3572 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n ```\n 9275\n x 3572\n ```\n\n2. **Multiply 9275 by each digit of 3572, starting from the rightmost digit**:\n\n - **Multiply by 2 (the rightmost digit ... | TAUR-dev/evals__distilled_gpt4omini__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": 105,
"explanation": "This sentence indicates the intention to break down the problem into manageable parts, which reflects the creation of sub-goals.",
"idx": 0,
"span": "To solve the multiplication of 9275 by 3572 using long multiplication, we can break it down step by step.",
"sta... | 0 | 4 |
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 multiplication of 6461 by 4465 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6461\n x 4465\n ```\n\n2. **Multiply each digit of the bottom number (4465) by the top number (6461)**, starting from the rig... | [
"To solve the multiplication of 6461 by 4465 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6461\n x 4465\n ```\n\n2. **Multiply each digit of the bottom number (4465) by the top number (6461)**, starting from the rightmost... | ae785a65c4eb6165405f969de764ef6bb22badcf40cf0ae69d16080d3c1e7e74 | c6d203237190063b907c3d2cb0b9562e95adb1073a99abad9a892f4595b13f25 | e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888 | 0 | [
"To solve the multiplication of 6461 by 4465 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6461\n x 4465\n ```\n\n2. **Multiply each digit of the bottom number (4465) by the top number (6461)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__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": 314,
"explanation": "This statement sets up the process of multiplication by breaking it down into more manageable steps, i.e., multiplying each digit of the second number by the first.",
"idx": 0,
"span": "Multiply each digit of the bottom number (4465) by the top number (6461), starti... | 0 | 4 |
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 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6925\n x 4178\n ```\n\n2. **Multiply 6925 by each digit of 4178, starting from the rightm... | [
"To solve the multiplication of 6925 by 4178 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6925\n x 4178\n ```\n\n2. **Multiply 6925 by each digit of 4178, starting from the rightmost di... | 390e2009a687a42c7464961cf687708fab8d10b94ed9a84eb485159fe19738d7 | 61918a826cde86b9db6c071170ab772035497f1dfe4fd98474d452c10d39f07f | ed05cd49f7024716052d13184f4c261687acf2d59f25d8c5d75c5dfcd049b203 | 0 | [
"To solve the multiplication of 6925 by 4178 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6925\n x 4178\n ```\n\n2. **Multiply 6925 by each digit of 4178, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This is an explicit mention of breaking down the original problem into simpler parts, indicating a sub-goal.",
"idx": 0,
"span": "To solve the multiplication of 6925 by 4178 step by step, we can break it down into simpler parts using the long multiplication method."... | 0 | 5 |
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 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5797\n x 1699\n ```\n\n2. **Multiply each digit of the bottom number (1699) by the top numb... | [
"To solve the multiplication problem \\( 5797 \\times 1699 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5797\n x 1699\n ```\n\n2. **Multiply each digit of the bottom number (1699) by the top number (57... | e6dff2315c327c9265214f705753796a0425499cb06183d489680628adb48041 | 1250719f34ac3854505f83869e310e3701d4344792c3b66aac2082ae9e22ecd2 | 3fb3988c5521f2d0bf4de16b2630cbbdcab505a9b0dd2b1c5712884bd8ed92c1 | 1 | [
"9849103"
] | TAUR-dev/evals__distilled_gpt4omini__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": null,
"explanation": "This indicates the intention to use a breakdown strategy for solving the problem, a clear sub-goal setting to approach the task.",
"idx": 0,
"span": "To solve the multiplication problem 5797 x 1699 step by step, we can break it down using the long multiplication me... | 0 | 5 |
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 into simpler parts. Here’s how you can do it:\n\n1. **Break down the second number**: \n We can express \\( 1340 \\) as \\( 1340 = 134 \\times 10 \\). This allows us to multiply \\( 2959 \\) by \\( 134 \\) firs... | [
"To solve the multiplication problem \\( 2959 \\times 1340 \\) step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Break down the second number**: \n We can express \\( 1340 \\) as \\( 1340 = 134 \\times 10 \\). This allows us to multiply \\( 2959 \\) by \\( 134 \\) first, and... | a3a3088a8271e7001cbea1a325b6e207c9964ef8d84c3ec428d6ffc7bbcfe9fc | a8bf3cf0445d3579d891c77f85b1aed84ea77006eb776b4c3609c12218562b1f | b06ba674928fef3a5aec17d8e09e50a8973c0f21446505e083325167602cf122 | 0 | [
"To solve the multiplication problem \\( 2959 \\times 1340 \\) step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Break down the second number**: \n We can express \\( 1340 \\) as \\( 1340 = 134 \\times 10 \\). This allows us to multiply \\( 2959 \\) by \\( 134 \\) first, and... | TAUR-dev/evals__distilled_gpt4omini__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": 113,
"explanation": "This indicates the intention to divide the problem into smaller, manageable sections.",
"idx": 0,
"span": "we can break it down into simpler parts.",
"start_idx": 73
},
{
"end_idx": null,
"explanation": "This shows the first sub-goal of simplifying t... | 0 | 6 |
18 | {
"answer": "25554852",
"problem": "What is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.",
"solution": "25554852"
} | 25554852 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 5172 by 4941 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5172\n x 4941\n ```\n\n2. **Multiply each digit of the bottom number (4941) by the top number (5172)**, starting from the rig... | [
"To solve the multiplication of 5172 by 4941 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5172\n x 4941\n ```\n\n2. **Multiply each digit of the bottom number (4941) by the top number (5172)**, starting from the rightmost... | 08266520be443262cda28d8160eed1a250e9d3338a164a50c3988ed688151774 | 810aba8947dbe5add06811a867c63dad8731128fd0f7f04562d66e65a3a2cc2d | 7f2a4c45b05e109095ed733bd4e1b402765d544ce1b3d8d56dfd761fc6834c3c | 0 | [
"To solve the multiplication of 5172 by 4941 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5172\n x 4941\n ```\n\n2. **Multiply each digit of the bottom number (4941) by the top number (5172)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5172 x 4941
Think step by step.
## Here is the solution
25554852
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 366,
"explanation": "This indicates the first sub-goal of multiplying the top number by the rightmost digit of the bottom number.",
"idx": 0,
"span": "Multiply by 1 (the rightmost digit of 4941)",
"start_idx": 323
},
{
"end_idx": 552,
"explanation": "This indicates the s... | 0 | 5 |
36 | {
"answer": "18412352",
"problem": "What is the solution to the long multiplication equation below?\n\n4088 x 4504\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4088 x 4504\n\nThink step by step.",
"solution": "18412352"
} | 18412352 | {
"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\n4088 x 4504\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\( 4088 \\times 4504 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4088\n x 4504\n ```\n\n2. **Multiply each digit of the bottom number (4504) by the top numb... | [
"To solve the multiplication problem \\( 4088 \\times 4504 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4088\n x 4504\n ```\n\n2. **Multiply each digit of the bottom number (4504) by the top number (40... | 78ff4f09e22313c1dea16bfc5fb6a6f0e52b6a5518fe1e8f172d9d2e4c75ad8b | fd416b6f1935a2b87c20c18bf41073b10cc2e862b53d789643aa326622e86dda | 83dda1b91ef1697aa4765154b0052afc0b1f95dd80b4f9d86bcb64c39ce238b9 | 0 | [
"To solve the multiplication problem \\( 4088 \\times 4504 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4088\n x 4504\n ```\n\n2. **Multiply each digit of the bottom number (4504) by the top number (40... | TAUR-dev/evals__distilled_gpt4omini__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?
4088 x 4504
Think step by step.
## Here is the solution
18412352
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": null,
"explanation": "This quote indicates the creation of a sub-goal to approach the problem systematically by breaking it down.",
"idx": 0,
"span": "To solve the multiplication problem 4088 x 4504 step by step, we can break it down using the long multiplication method.",
"start_id... | 0 | 4 |
12 | {
"answer": "12750510",
"problem": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"solution": "12750510"
} | 12750510 | {
"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\n2346 x 5435\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 2346 by 5435 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 2346\n x 5435\n ```\n\n2. **Multiply each digit of the bottom number (5435) by the top nu... | [
"To solve the multiplication of 2346 by 5435 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 2346\n x 5435\n ```\n\n2. **Multiply each digit of the bottom number (5435) by the top number (... | 9c0f756608a41e81493494e5980128ca5d5bf612d1287696b6fdbee2e7d5c843 | c398c627e82c46a7c988f7e704210279300a4dcd8b5a17b1fd08f0e975d5143a | e0737304a4b6947e5325f2c6ab36f3429acfef0f744e5e84b195c802c544d8e7 | 0 | [
"To solve the multiplication of 2346 by 5435 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 2346\n x 5435\n ```\n\n2. **Multiply each digit of the bottom number (5435) by the top number (... | TAUR-dev/evals__distilled_gpt4omini__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?
2346 x 5435
Think step by step.
## Here is the solution
12750510
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This indicates the intention to break the problem into smaller components, which is a form of sub-goal setting.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 350,
... | 0 | 4 |
85 | {
"answer": "15605820",
"problem": "What is the solution to the long multiplication equation below?\n\n3620 x 4311\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3620 x 4311\n\nThink step by step.",
"solution": "15605820"
} | 15605820 | {
"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\n3620 x 4311\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 3620 by 4311 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 3620\n x 4311\n ```\n\n2. **Multiply 3620 by each digit of 4311, starting from the rightmo... | [
"To solve the multiplication of 3620 by 4311 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 3620\n x 4311\n ```\n\n2. **Multiply 3620 by each digit of 4311, starting from the rightmost dig... | d118874df6523541a7147d5a2f8edba81c08bb784d761865ad026491e05c45fa | d11467254d2772d35d292755a7371296e7b7f0f3660e61a965b07b5a843b4476 | ab6c4caba8a820938da7b02bebee468214364be57f05d189de9f1a6ddb30ef2e | 0 | [
"To solve the multiplication of 3620 by 4311 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 3620\n x 4311\n ```\n\n2. **Multiply 3620 by each digit of 4311, starting from the rightmost dig... | TAUR-dev/evals__distilled_gpt4omini__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?
3620 x 4311
Think step by step.
## Here is the solution
15605820
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 134,
"explanation": "This sets a sub-goal to simplify the multiplication process by outlining a method.",
"idx": 0,
"span": "break it down into simpler parts using the long multiplication method",
"start_idx": 65
},
{
"end_idx": 309,
"explanation": "This creates sub-goal... | 0 | 6 |
98 | {
"answer": "45787148",
"problem": "What is the solution to the long multiplication equation below?\n\n9209 x 4972\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9209 x 4972\n\nThink step by step.",
"solution": "45787148"
} | 45787148 | {
"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\n9209 x 4972\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 9209 by 4972 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9209\n x 4972\n ```\n\n2. **Multiply 9209 by each digit of 4972, starting from the rightmost digit**:\n\n -... | [
"To solve the multiplication of 9209 by 4972 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9209\n x 4972\n ```\n\n2. **Multiply 9209 by each digit of 4972, starting from the rightmost digit**:\n\n - **Mul... | 0de620503e2bea5183b659cc6c0792508bb1932133471476c168a93f2dad907c | 224f9a334ae64f96b2062fdf3b852a5c8eb80cb2bac951ae19dd168b8f9d90ec | 9f3ce0e7936a2400e7171d73892f3d5a5a97bf418730c8faa07f54350cbd7402 | 0 | [
"To solve the multiplication of 9209 by 4972 step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9209\n x 4972\n ```\n\n2. **Multiply 9209 by each digit of 4972, starting from the rightmost digit**:\n\n - **Mul... | TAUR-dev/evals__distilled_gpt4omini__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?
9209 x 4972
Think step by step.
## Here is the solution
45787148
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 116,
"explanation": "This indicates the model is going to create sub-goals by breaking down the task into smaller steps.",
"idx": 0,
"span": "we can break it down using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 290,
"explanation": "Here, the model... | 0 | 4 |
59 | {
"answer": "8638722",
"problem": "What is the solution to the long multiplication equation below?\n\n1341 x 6442\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1341 x 6442\n\nThink step by step.",
"solution": "8638722"
} | 8638722 | {
"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\n1341 x 6442\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 1341 by 6442 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 1341\n x 6442\n ```\n\n2. **Multiply each digit of the bottom number (6442) by the top number (1341)**, starting from the ri... | [
"To solve the multiplication of 1341 by 6442 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 1341\n x 6442\n ```\n\n2. **Multiply each digit of the bottom number (6442) by the top number (1341)**, starting from the rightmos... | 04d39dfd34c5e5e18c8be96f06d9b0475e3fdc7559236b0fb04cedacd436e316 | 736bff5a0560ffc15eb792334f894e3f2288f3796506f9e14505e6a464cba314 | 7224fd06ea18cca1a74a787cd21187b8ebfcae667b613c12fce350af34da5cf2 | 0 | [
"To solve the multiplication of 1341 by 6442 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 1341\n x 6442\n ```\n\n2. **Multiply each digit of the bottom number (6442) by the top number (1341)**, starting from the rightmos... | TAUR-dev/evals__distilled_gpt4omini__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?
1341 x 6442
Think step by step.
## Here is the solution
8638722
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 315,
"explanation": "This indicates the intention to break down the multiplication into smaller tasks of multiplying each digit.",
"idx": 0,
"span": "Multiply each digit of the bottom number (6442) by the top number (1341), starting from the rightmost digit:",
"start_idx": 205
},
... | 0 | 5 |
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 of 3877 by 5075 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3877\n x 5075\n ________\n```\n\n2. **Multiply 3877 by each digit of 5075, starting from the r... | [
"To solve the multiplication of 3877 by 5075 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3877\n x 5075\n ________\n```\n\n2. **Multiply 3877 by each digit of 5075, starting from the rightmo... | 2b3ef1ab7c2bf0ca8f488ba473346b768b779366e3feaf50b6a0e7031430b162 | 908e543b85e36bb03a03ea787911e023ccbe8affd4bb859d6aa03d494178f3cd | 38b4bab79942a4fed0c1f2af71c965c30f3dd4b84e22b76c8aadae05e799c074 | 0 | [
"To solve the multiplication of 3877 by 5075 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3877\n x 5075\n ________\n```\n\n2. **Multiply 3877 by each digit of 5075, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This shows the intention to create sub-goals by breaking down the problem into simpler parts.",
"idx": 0,
"span": "To solve the multiplication of 3877 by 5075 step by step, we can break it down into simpler parts using the long multiplication method.",
"start_id... | 0 | 5 |
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 of 6068 by 9090 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 6068\n x 9090\n ```\n\n2. **Multiply 6068 by each digit of 9090, starting from the rightmost digit**:\n\n - **Multiply b... | [
"To solve the multiplication of 6068 by 9090 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 6068\n x 9090\n ```\n\n2. **Multiply 6068 by each digit of 9090, starting from the rightmost digit**:\n\n - **Multiply by 0 (t... | 261157a9454e089902bcab95764c89dbcba1ea62406a3af06816ea4bef76b224 | ade1a318f1b23bc8ca582324b59692076e303298183a7d87ff74c37adf460a39 | 44917f56b50fe98a82ccd5cf367890b4c55f52a5fa0d8435c9a994ab706c8007 | 0 | [
"To solve the multiplication of 6068 by 9090 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 6068\n x 9090\n ```\n\n2. **Multiply 6068 by each digit of 9090, starting from the rightmost digit**:\n\n - **Multiply by 0 (t... | TAUR-dev/evals__distilled_gpt4omini__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": 97,
"explanation": "This indicates the intention to create sub-goals by simplifying the overall problem into smaller tasks.",
"idx": 0,
"span": "we can break it down into simpler parts",
"start_idx": 58
},
{
"end_idx": 277,
"explanation": "This establishes a clear sub-go... | 0 | 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 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 3648\n x 1721\n ```\n\n2. **Multiply each digit of the bottom number (1721) by the top num... | [
"To solve the multiplication problem \\( 3648 \\times 1721 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 3648\n x 1721\n ```\n\n2. **Multiply each digit of the bottom number (1721) by the top number (3... | 67d599ec90538903a8260469a10ff9f26cfcb525ad91dc2f77b7119a21b05659 | 040d6556224f4fdc2f02e68d1bbb9d2312090f527d67a583eba81aadd7890046 | bb1803e8b1294e2e98c1bccdee6b98bef0785d5f4e87f1a0c0792d20a4b6dff6 | 0 | [
"To solve the multiplication problem \\( 3648 \\times 1721 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 3648\n x 1721\n ```\n\n2. **Multiply each digit of the bottom number (1721) by the top number (3... | TAUR-dev/evals__distilled_gpt4omini__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": 131,
"explanation": "This sentence indicates the intention to decompose the problem, setting a sub-goal to solve it step by step.",
"idx": 0,
"span": "we can break it down using the long multiplication method.",
"start_idx": 73
},
{
"end_idx": 346,
"explanation": "This i... | 0 | 5 |
26 | {
"answer": "14414517",
"problem": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.",
"solution": "14414517"
} | 14414517 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 2197 by 6561 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 2197\n x 6561\n ```\n\n2. **Multiply 2197 by each digit of 6561, starting from the rightmost digit**:\n\n - **Multiply ... | [
"To solve the multiplication of 2197 by 6561 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 2197\n x 6561\n ```\n\n2. **Multiply 2197 by each digit of 6561, starting from the rightmost digit**:\n\n - **Multiply by 1 (... | ce1d1e88e5d5d1b907340415cef4033fd57feb39204445c173e104252e065039 | fd38f749b167080de657869244fd4f5dc795f1f67f902c929ea764c6c0d54743 | 6e0d197287f12c0e46ade106566a2bba77bf87e4f740924c47933c17ec8b304e | 0 | [
"To solve the multiplication of 2197 by 6561 step by step, we can break it down into simpler parts. Here’s how you can do it:\n\n1. **Write the numbers vertically**:\n ```\n 2197\n x 6561\n ```\n\n2. **Multiply 2197 by each digit of 6561, starting from the rightmost digit**:\n\n - **Multiply by 1 (... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2197 x 6561
Think step by step.
## Here is the solution
14414517
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 98,
"explanation": "This indicates a plan to divide the problem into smaller, manageable steps.",
"idx": 0,
"span": "we can break it down into simpler parts.",
"start_idx": 58
},
{
"end_idx": 278,
"explanation": "This sets a sub-goal to focus on multiplying by each digit... | 0 | 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 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4284\n x 3503\n ```\n\n2. **Multiply each digit of the bottom number (3503) by the top numb... | [
"To solve the multiplication problem \\( 4284 \\times 3503 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4284\n x 3503\n ```\n\n2. **Multiply each digit of the bottom number (3503) by the top number (42... | 1bc5e7e20241153e8d8ab7e48776b525515e9282335286264d9b18410786c1de | 56205bc3f05abaabc60f1c1f6195b884532807ee5b8b63c1b641bc90f2a9cf81 | f0f4713006feaa86f88a99dfe7a9034edae6fe57c4acc411c505bd3091d1785c | 0 | [
"To solve the multiplication problem \\( 4284 \\times 3503 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4284\n x 3503\n ```\n\n2. **Multiply each digit of the bottom number (3503) by the top number (42... | TAUR-dev/evals__distilled_gpt4omini__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": 131,
"explanation": "This indicates the intention to approach the problem by dividing it into manageable steps.",
"idx": 0,
"span": "we can break it down using the long multiplication method.",
"start_idx": 73
},
{
"end_idx": 307,
"explanation": "This sets a sub-goal to ... | 0 | 5 |
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 of 5993 by 2161 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5993\n x 2161\n ```\n\n2. **Multiply each digit of the bottom number (2161) by the top number (5993)**, starting from the rig... | [
"To solve the multiplication of 5993 by 2161 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5993\n x 2161\n ```\n\n2. **Multiply each digit of the bottom number (2161) by the top number (5993)**, starting from the rightmost... | db918c49175bf12e3a0a4a9a8b4c675f8eab52359d4996b05727f1a63b221e4b | 90968395f8f17ea1ec8dba3c8b5f16cf9cf763299ebd4cbf679747d9689c06d0 | f59f9b0f4be6d28c920a2be502d4e00b31054875d98e89b1f30a4d4f0c15694a | 0 | [
"To solve the multiplication of 5993 by 2161 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5993\n x 2161\n ```\n\n2. **Multiply each digit of the bottom number (2161) by the top number (5993)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__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": 100,
"explanation": "This statement indicates the intention to approach the multiplication systematically, implying a breakdown into steps as sub-goals.",
"idx": 0,
"span": "To solve the multiplication of 5993 by 2161 step by step, we can use the long multiplication method.",
"start... | 0 | 5 |
32 | {
"answer": "61868622",
"problem": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.",
"solution": "61868622"
} | 61868622 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 7179 by 8618 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7179\n x 8618\n ```\n\n2. **Multiply each digit of the bottom number (8618) by the top number (7179)**, starting from the rig... | [
"To solve the multiplication of 7179 by 8618 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7179\n x 8618\n ```\n\n2. **Multiply each digit of the bottom number (8618) by the top number (7179)**, starting from the rightmost... | 9e36f5b47d6b8a1552c080294fdffbb402b42181534f82836a6226aeed4411b2 | 784b48e508871f300eb24c5e9e3d1b2dfafa0606ac4a812f00de4c9acf994614 | 6507ce0feded43c83301ebc1214e22d90b369df30c3a23ebad569e58dd07fc45 | 0 | [
"To solve the multiplication of 7179 by 8618 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7179\n x 8618\n ```\n\n2. **Multiply each digit of the bottom number (8618) by the top number (7179)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__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?
7179 x 8618
Think step by step.
## Here is the solution
61868622
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 100,
"explanation": "This sets the sub-goal of using the long multiplication method to solve the problem.",
"idx": 0,
"span": "To solve the multiplication of 7179 by 8618 step by step, we can use the long multiplication method.",
"start_idx": 0
},
{
"end_idx": 314,
"expl... | 0 | 8 |
37 | {
"answer": "77933040",
"problem": "What is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.",
"solution": "77933040"
} | 77933040 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9385 x 8304\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 9385 by 8304 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9385\n x 8304\n ```\n\n2. **Multiply each digit of the bottom number (8304) by the top number (9385)**, starting from the rig... | [
"To solve the multiplication of 9385 by 8304 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9385\n x 8304\n ```\n\n2. **Multiply each digit of the bottom number (8304) by the top number (9385)**, starting from the rightmost... | 51421595677fb553ae15dd8d4c2cfab3f5e9e38d72ea8429fc0383f3186eb170 | f41d81077172555722fbc5671a03a73eded924deea06b5ae93553d913a54b6f4 | 8a79ab6e97d0c43149ffe3239ca72c3d86c7e39f3cd6eead049a0be84d641abf | 0 | [
"To solve the multiplication of 9385 by 8304 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9385\n x 8304\n ```\n\n2. **Multiply each digit of the bottom number (8304) by the top number (9385)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9385 x 8304
Think step by step.
## Here is the solution
77933040
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 314,
"explanation": "The model sets a sub-goal to multiply each digit of the bottom number by the top number.",
"idx": 0,
"span": "**Multiply each digit of the bottom number (8304) by the top number (9385)**, starting from the rightmost digit:",
"start_idx": 202
},
{
"end_id... | 0 | 5 |
76 | {
"answer": "8198197",
"problem": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"solution": "8198197"
} | 8198197 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 1169 by 7013 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n```\n 1169\n x 7013\n ________\n```\n\n2. **Multiply 1169 by each digit of 7013, starting from the rightmost digit**:\n\n - **Multiply by 3 (the right... | [
"To solve the multiplication of 1169 by 7013 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n```\n 1169\n x 7013\n ________\n```\n\n2. **Multiply 1169 by each digit of 7013, starting from the rightmost digit**:\n\n - **Multiply by 3 (the rightmost d... | e36997b1205c9d8a00192572b442dcdd9b21fc00ee1cf442503ae7b8dfaa47bf | 6204fbf2bec0f2f57d3f6eabc569536172c6e1bc6ba841ebf9adfdc6d3f9a0c2 | 9e411d46783b9f12b5f6db7ac6e903c763dba9aaa3cd315771e08b3035f4cd9b | 0 | [
"To solve the multiplication of 1169 by 7013 using long multiplication, we can break it down step by step.\n\n1. **Write the numbers vertically**:\n```\n 1169\n x 7013\n ________\n```\n\n2. **Multiply 1169 by each digit of 7013, starting from the rightmost digit**:\n\n - **Multiply by 3 (the rightmost d... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1169 x 7013
Think step by step.
## Here is the solution
8198197
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 105,
"explanation": "This indicates the intention to create a step-by-step breakdown, setting the stage for sub-goaling.",
"idx": 0,
"span": "we can break it down step by step.",
"start_idx": 71
},
{
"end_idx": 262,
"explanation": "This specifies the sub-goal of multiply... | 0 | 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 long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4240\n x 3503\n ```\n\n2. **Multiply each digit of the bottom number (3503) by the top numb... | [
"To solve the multiplication problem \\( 4240 \\times 3503 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4240\n x 3503\n ```\n\n2. **Multiply each digit of the bottom number (3503) by the top number (42... | 397f4a09f227fa31cf1e7f0713d2abfe8774471e22cac60e47cd1714583c2962 | ffcd95257827c53e21c0602c655881f7da044ca6a9dc37545d74a40f761ae8dc | fbff615a503c9a5ea86bbd1b96852205aa2d3afd486e8089c73c0f18942fb0a5 | 0 | [
"To solve the multiplication problem \\( 4240 \\times 3503 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4240\n x 3503\n ```\n\n2. **Multiply each digit of the bottom number (3503) by the top number (42... | TAUR-dev/evals__distilled_gpt4omini__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": null,
"explanation": "This snippet explicitly states that the problem will be broken down into smaller steps, thus setting a sub-goal.",
"idx": 0,
"span": "To solve the multiplication problem 4240 x 3503 step by step, we can break it down using the long multiplication method.",
"sta... | 0 | 4 |
55 | {
"answer": "7006496",
"problem": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.",
"solution": "7006496"
} | 7006496 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4036 x 1736\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\( 4036 \\times 1736 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4036\n x 1736\n ```\n\n2. **Multiply each digit of the bottom number (1736) by the top num... | [
"To solve the multiplication problem \\( 4036 \\times 1736 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4036\n x 1736\n ```\n\n2. **Multiply each digit of the bottom number (1736) by the top number (4... | b44fa6ecbfd734aa0956ba5137f56c5f0381e57397c81c2f45290007f2153cd0 | c787e7de5356aab84edf84f3f5df73b4618ea202dfb522f9b38d848e0f9d2248 | d7ba62da3442f801edee1756f2952e05a7ead6e8235b8d419f1e7ac8c059aa55 | 0 | [
"To solve the multiplication problem \\( 4036 \\times 1736 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 4036\n x 1736\n ```\n\n2. **Multiply each digit of the bottom number (1736) by the top number (4... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4036 x 1736
Think step by step.
## Here is the solution
7006496
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": null,
"explanation": "This statement sets the sub-goal of breaking the problem into manageable parts using a specific method (long multiplication).",
"idx": 0,
"span": "To solve the multiplication problem 4036 x 1736 step by step, we can break it down using the long multiplication metho... | 0 | 4 |
10 | {
"answer": "17088288",
"problem": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.",
"solution": "17088288"
} | 17088288 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3017 x 5664\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 3017 by 5664 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3017\n x 5664\n ________\n```\n\n2. **Multiply 3017 by each digit of 5664, starting from the r... | [
"To solve the multiplication of 3017 by 5664 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3017\n x 5664\n ________\n```\n\n2. **Multiply 3017 by each digit of 5664, starting from the rightmo... | f2fdc1d5ba0debd52faf6e3e7f5f33aa8c17522bb8532070354cb79877f44da5 | 5828c53cf39b65d37a8fba26ba60404bf3d5c7187d0ce5d5c2db799fdf1088ae | aac36e65554b79d7639931d148cfd4b60c3b1baa0754c87cb1f67b2934a8cba5 | 0 | [
"To solve the multiplication of 3017 by 5664 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3017\n x 5664\n ________\n```\n\n2. **Multiply 3017 by each digit of 5664, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3017 x 5664
Think step by step.
## Here is the solution
17088288
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This snippet sets a sub-goal of breaking down the problem into simpler parts to facilitate solving the multiplication.",
"idx": 0,
"span": "To solve the multiplication of 3017 by 5664 step by step, we can break it down into simpler parts using the long multiplicatio... | 0 | 4 |
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 of 2040 by 9559 step by step, we can break it down into simpler parts using the long multiplication method.\n\n1. **Write the numbers vertically**:\n ```\n 2040\n x 9559\n ```\n\n2. **Multiply 2040 by each digit of 9559, starting from the rightmost digit**:\n\n - *... | [
"To solve the multiplication of 2040 by 9559 step by step, we can break it down into simpler parts using the long multiplication method.\n\n1. **Write the numbers vertically**:\n ```\n 2040\n x 9559\n ```\n\n2. **Multiply 2040 by each digit of 9559, starting from the rightmost digit**:\n\n - **Multi... | 7f7303b9bc744b8ec4357c1a3c29e8563e794dda8341d18cf29f58334b98d942 | ac107c246a52b63f498c1d24376079fb41e28cc59d6ed19fe7cfb57b24ca4a3f | 82cfb3688bbb258c25ae3208e305911d7081671ca949a3565c1e9c7234a18a24 | 0 | [
"To solve the multiplication of 2040 by 9559 step by step, we can break it down into simpler parts using the long multiplication method.\n\n1. **Write the numbers vertically**:\n ```\n 2040\n x 9559\n ```\n\n2. **Multiply 2040 by each digit of 9559, starting from the rightmost digit**:\n\n - **Multi... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This statement indicates the intention to create sub-goals by breaking down the overall multiplication problem into simpler tasks.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"... | 0 | 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 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9749\n x 4387\n ```\n\n2. **Multiply each digit of the bottom number (4387) by the top number (9749)**, starting from the rig... | [
"To solve the multiplication of 9749 by 4387 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9749\n x 4387\n ```\n\n2. **Multiply each digit of the bottom number (4387) by the top number (9749)**, starting from the rightmost... | e0522682ad24b0aed4f34ef1e8e044a1782378c3c2f6927e87d74992c4d96074 | becad6f0f4beb11bd65e362810e50a9d19b522aa68cba6c3e14078f3a6060059 | a67723669c8da5f5ae8342b6f9d9cf8ab7e0733a595cd9dda6a064a92413a4a1 | 0 | [
"To solve the multiplication of 9749 by 4387 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 9749\n x 4387\n ```\n\n2. **Multiply each digit of the bottom number (4387) by the top number (9749)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__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": 314,
"explanation": "This sets a sub-goal to multiply each individual digit of the second number with the first number.",
"idx": 0,
"span": "Multiply each digit of the bottom number (4387) by the top number (9749), starting from the rightmost digit:",
"start_idx": 204
},
{
"... | 0 | 4 |
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 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 2616\n x 4126\n ________\n```\n\n2. **Multiply 2616 by each digit of 4126, starting from the r... | [
"To solve the multiplication of 2616 by 4126 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 2616\n x 4126\n ________\n```\n\n2. **Multiply 2616 by each digit of 4126, starting from the rightmo... | 15cdc11d5d1afa4b464374e7f8c43f95af2fb3add173ea0b152eeeb444cdf494 | 48d7f97da0a36ef0b00176a94148e23b1fc091218ca5f19d2d3c86f78bc0e976 | f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9 | 0 | [
"To solve the multiplication of 2616 by 4126 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 2616\n x 4126\n ________\n```\n\n2. **Multiply 2616 by each digit of 4126, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This indicates the intention to decompose the problem into smaller, manageable components.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 314,
"explanation": "This ... | 0 | 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 break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 8660\n x 9821\n ```\n\n2. **Multiply 8660 by each digit of 9821, starting from the rightm... | [
"To solve the multiplication of 8660 by 9821 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 8660\n x 9821\n ```\n\n2. **Multiply 8660 by each digit of 9821, starting from the rightmost di... | 698aa5cb6555150eba51f5c1575ad3b425fd35594fc85b8fbc7b963752d3f11f | 831e837c58fd5ace437a4c89127b5f9b7431c9cd24cf5c9e67820a71b7136461 | 66b6db2a60e688220605acc4e362109453f11fa962fa10572630845fd83be98b | 0 | [
"To solve the multiplication of 8660 by 9821 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 8660\n x 9821\n ```\n\n2. **Multiply 8660 by each digit of 9821, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__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": 135,
"explanation": "This snippet indicates the intention to break the problem into smaller parts, setting the stage for sub-goals.",
"idx": 0,
"span": "To solve the multiplication of 8660 by 9821 step by step, we can break it down into simpler parts using the long multiplication method... | 0 | 6 |
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 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2994\n x 1121\n ```\n\n2. **Multiply 2994 by each digit of 1121, starting from the rightmo... | [
"To solve the multiplication problem \\( 2994 \\times 1121 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2994\n x 1121\n ```\n\n2. **Multiply 2994 by each digit of 1121, starting from the rightmost dig... | e7ba8ded213ef0b5f739b1aef119bee7ba1dd1bfda4865afa2fc4c9fe67db2ed | f72ad4193adbf0e3645dbd9356bac06a7c24c346d3bfaec7a00e93bee8e3812a | ffabdf448694b3fb5e403a1531417e046b2564e9bd3c2beef4301021ba197b01 | 0 | [
"To solve the multiplication problem \\( 2994 \\times 1121 \\) step by step, we can break it down using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2994\n x 1121\n ```\n\n2. **Multiply 2994 by each digit of 1121, starting from the rightmost dig... | TAUR-dev/evals__distilled_gpt4omini__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": 130,
"explanation": "The model sets a sub-goal to explain how to approach the multiplication problem by using the long multiplication method.",
"idx": 0,
"span": "break it down using the long multiplication method",
"start_idx": 80
},
{
"end_idx": 306,
"explanation": "Th... | 0 | 5 |
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 multiplication of 3848 by 5968 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 3848\n x 5968\n ________\n```\n\n2. **Multiply 3848 by each digit of 5968, starting from the ri... | [
"To solve the multiplication of 3848 by 5968 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 3848\n x 5968\n ________\n```\n\n2. **Multiply 3848 by each digit of 5968, starting from the rightmos... | 67e139c1ec46689ac2d4c0cf303c101772e239bf62ac3b9d0363df25ff364758 | dcb052e45c88ee84c058ff00b17e7565da4e9e87938bb147efde0590618fce05 | 42c84201700d810185282cff80ac555248b14235fdc8404de189e5e88650afac | 0 | [
"To solve the multiplication of 3848 by 5968 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 3848\n x 5968\n ________\n```\n\n2. **Multiply 3848 by each digit of 5968, 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?
3848 x 5968
Think step by step.
## Here is the solution
22964864
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This statement sets the stage for creating sub-goals by indicating that the problem will be divided into manageable parts.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanat... | 0 | 5 |
35 | {
"answer": "13003956",
"problem": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.",
"solution": "13003956"
} | 13003956 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5562 x 2338\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(5562 \\times 2338\\) 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 5562\n × 2338\n ```\n\n2. **Multiply the top number by each digit of the b... | [
"To solve the multiplication problem \\(5562 \\times 2338\\) 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 5562\n × 2338\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | 923c71763bc60df33faacafd60cb3344638315ee24c3abd40c7bfe614aea4d06 | 34f99b301f34f5bc6b80d1b7f90d2f431516cc3246c47360e479020cee4edc35 | 6a7da9c68366029fa97d213da6a2091c3aca782e895270dc623b06292598a00f | 0 | [
"To solve the multiplication problem \\(5562 \\times 2338\\) 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 5562\n × 2338\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?
5562 x 2338
Think step by step.
## Here is the solution
13003956
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 140,
"explanation": "This indicates the intention to set sub-goals by dividing the problem into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps",
"start_idx": 84
},
{
"end_idx": 344,
"explanation": "This specifies the action o... | 0 | 5 |
28 | {
"answer": "14041975",
"problem": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.",
"solution": "14041975"
} | 14041975 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(2225 \\times 6311\\) 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 2225\n x 6311\n ```\n\n2. **Multiply the top number by each digit of the bott... | [
"To solve the multiplication problem \\(2225 \\times 6311\\) 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 2225\n x 6311\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | 89bf514387acb1b1d98e994a546a785a560ea2be66aa4370a05bcfbf7faf9225 | 3d45345d3847937572145683203af6bc9de8fc62e4fa842a3ecd43483915ceb1 | e3f88490daba280d420ae84d21d421f83acd7dbdd4d62d6e0be5ddd2bc8696c8 | 0 | [
"To solve the multiplication problem \\(2225 \\times 6311\\) 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 2225\n x 6311\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | 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?
2225 x 6311
Think step by step.
## Here is the solution
14041975
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1262,
"explanation": "The model provided an incorrect result of 14020975 and did not recognize the error or attempt to correct it, thus showcasing a lack of backtracking despite arriving at a wrong conclusion.",
"idx": 0,
"span": "14020975",
"start_idx": 1254
}
] | 0 | 1 |
28 | {
"answer": "14041975",
"problem": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.",
"solution": "14041975"
} | 14041975 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(2225 \\times 6311\\) 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 2225\n x 6311\n ```\n\n2. **Multiply the top number by each digit of the bott... | [
"To solve the multiplication problem \\(2225 \\times 6311\\) 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 2225\n x 6311\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | 89bf514387acb1b1d98e994a546a785a560ea2be66aa4370a05bcfbf7faf9225 | 3d45345d3847937572145683203af6bc9de8fc62e4fa842a3ecd43483915ceb1 | e3f88490daba280d420ae84d21d421f83acd7dbdd4d62d6e0be5ddd2bc8696c8 | 0 | [
"To solve the multiplication problem \\(2225 \\times 6311\\) 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 2225\n x 6311\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | 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?
2225 x 6311
Think step by step.
## Here is the solution
14041975
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This explicitly sets a sub-goal of simplifying the problem by breaking it down into smaller parts.",
"idx": 0,
"span": "break it down into smaller, more manageable steps.",
"start_idx": 91
},
{
"end_idx": 342,
"explanation": "This indicates a sub-goa... | 0 | 5 |
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 multiplication of 1747 by 7217 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1747\n x 7217\n ________\n```\n\n2. **Multiply 1747 by each digit of 7217, starting from the rightmost digit:**\n\n - **Multiply by 7... | [
"To solve the multiplication of 1747 by 7217 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1747\n x 7217\n ________\n```\n\n2. **Multiply 1747 by each digit of 7217, starting from the rightmost digit:**\n\n - **Multiply by 7 (the ... | 95020db033e29dce76b6525ce30aa31c4027a5629fa4c21bda3c9803ed2c2d3f | 0401c86608c2957adc693936898102dbbbe511b635899003316bc5cb4531abf5 | c7d05c9830d69ce9114183a137dbcd52e1bcf8583659f23c03300bc874c1b521 | 0 | [
"To solve the multiplication of 1747 by 7217 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1747\n x 7217\n ________\n```\n\n2. **Multiply 1747 by each digit of 7217, starting from the rightmost digit:**\n\n - **Multiply by 7 (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?
1747 x 7217
Think step by step.
## Here is the solution
12608099
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 114,
"explanation": "This indicates the establishment of sub-goals by outlining a plan to tackle the multiplication step-by-step.",
"idx": 0,
"span": "We can break it down into steps as follows:",
"start_idx": 71
},
{
"end_idx": 273,
"explanation": "The model signifies t... | 0 | 5 |
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 multiplication of 5570 by 4628 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 5570\n x 4628\n ________\n```\n\n2. **Multiply 5570 by each digit of 4628, starting from the rightmost digit:**\n\n - **Multiply by 8... | [
"To solve the multiplication of 5570 by 4628 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 5570\n x 4628\n ________\n```\n\n2. **Multiply 5570 by each digit of 4628, starting from the rightmost digit:**\n\n - **Multiply by 8 (the ... | bcfb316e9add593ca6449c49149a609d78fc052577e2e5581e91ba68fa47e7ec | 78a9dbdfbe95593217b3bfb35146af68b4837aa6c4966f5a92ff22293da646ec | d16d02ae6c305a0ffe52ec7b7d3290280c3916f498438a939202e4013ffaecfc | 0 | [
"To solve the multiplication of 5570 by 4628 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 5570\n x 4628\n ________\n```\n\n2. **Multiply 5570 by each digit of 4628, starting from the rightmost digit:**\n\n - **Multiply by 8 (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?
5570 x 4628
Think step by step.
## Here is the solution
25777960
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 114,
"explanation": "This indicates the intention to create sub-goals by breaking the problem into manageable steps.",
"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 multiplyin... | 0 | 6 |
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 multiplication problem \\(7066 \\times 1637\\) 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 7066\n × 1637\n ```\n\n2. **Multiply 7066 by each digit of 1637, starting ... | [
"To solve the multiplication problem \\(7066 \\times 1637\\) 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 7066\n × 1637\n ```\n\n2. **Multiply 7066 by each digit of 1637, starting from t... | f8ace94193e2b6a4062935393de69180d16830b23892604bd5df8b9e200f4b03 | 38e0f2e6f7cb0d029b485d43f8a451305ad40972ec60e2e7cb6e907318525678 | 74507a7d3d4370ed4f3e796d9a16cfc3a71eca1fa869cd616a94a90ce9f271d0 | 0 | [
"To solve the multiplication problem \\(7066 \\times 1637\\) 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 7066\n × 1637\n ```\n\n2. **Multiply 7066 by each digit of 1637, 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?
7066 x 1637
Think step by step.
## Here is the solution
11567042
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"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": 84
},
{
"end_idx": 322,
"explanation": "This establishes a clear sub-goal of multiplying 7... | 0 | 5 |
75 | {
"answer": "22352715",
"problem": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.",
"solution": "22352715"
} | 22352715 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3465 x 6451\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 3465 by 6451 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 3465\n x 6451\n --------\n```\n\n2. **Multiply 3465 by the rightmost digit of 6451 (which is 1):**\n\n```\n 3465\n x ... | [
"To solve the multiplication of 3465 by 6451 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 3465\n x 6451\n --------\n```\n\n2. **Multiply 3465 by the rightmost digit of 6451 (which is 1):**\n\n```\n 3465\n x 1\n ... | ff6c9b873d2fff8637c170170379b755373e40832d1933d63b934821d4a8c56e | 75fb22c51ab1142da3fd5b44660a005234888b14907384b73bc0d5372c14f8d4 | 19eb9b6642aa9fe2cacf2d5d3796fc926c76b39cfbcbcc619460fed5a7523ffa | 0 | [
"To solve the multiplication of 3465 by 6451 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 3465\n x 6451\n --------\n```\n\n2. **Multiply 3465 by the rightmost digit of 6451 (which is 1):**\n\n```\n 3465\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?
3465 x 6451
Think step by step.
## Here is the solution
22352715
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 267,
"explanation": "This indicates a sub-goal to focus on multiplying by just the rightmost digit.",
"idx": 0,
"span": "Multiply 3465 by the rightmost digit of 6451 (which is 1)",
"start_idx": 210
},
{
"end_idx": 431,
"explanation": "Here, the model creates a sub-goal t... | 0 | 5 |
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 multiplication of 6585 by 9443 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 6585\n x 9443\n ________\n```\n\n2. **Multiply 6585 by each digit of 9443, starting from the rightmost digit:**\n\n - **Multiply by 3... | [
"To solve the multiplication of 6585 by 9443 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 6585\n x 9443\n ________\n```\n\n2. **Multiply 6585 by each digit of 9443, starting from the rightmost digit:**\n\n - **Multiply by 3 (the ... | 15a32b7cad8170c0d2ba36a881c70422c45c5526f914e7dc94ca34f5d698ea4d | 969e4c6d46c53c62968afbe386c00b5ded1e8a0c5b99e2ea9173d87f19cc5b5b | 52767d740741394087f42563a721cc8c68c6fa96f6a54520dc1b801302c3af3a | 0 | [
"To solve the multiplication of 6585 by 9443 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 6585\n x 9443\n ________\n```\n\n2. **Multiply 6585 by each digit of 9443, 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?
6585 x 9443
Think step by step.
## Here is the solution
62182155
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 114,
"explanation": "This indicates that the model is setting a strategy to decompose the overall task into manageable parts.",
"idx": 0,
"span": "break it down into steps as follows:",
"start_idx": 78
},
{
"end_idx": 273,
"explanation": "Here, the model specifies the ap... | 0 | 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 multiplication problem \\(6157 \\times 1921\\) 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 6157\n x 1921\n ```\n\n2. **Multiply the top number by each digit of the bott... | [
"To solve the multiplication problem \\(6157 \\times 1921\\) 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 6157\n x 1921\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | 243b9c4e28d8934b924bebe8d5a457c0392061e515f13bf031dd7c48e6e1dfaf | e95a0e75e9d1aa072a098dc54c1ff612c4ef8821308fdd3fa11b47dc7a684e93 | 07c43af6fbc6be8ec559300763b04edaa9cfaa0897820ecb24d49c71ab9c329d | 0 | [
"To solve the multiplication problem \\(6157 \\times 1921\\) 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 6157\n x 1921\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | 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?
6157 x 1921
Think step by step.
## Here is the solution
11827597
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This indicates the creation of sub-goals by breaking down the multiplication into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 341,
"explanation": "This specifies the ... | 0 | 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 multiplication of 5135 by 3479 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 5135\n x 3479\n ________\n```\n\n2. **Multiply 5135 by the rightmost digit of 3479 (which is 9):**\n\n```\n 5135\n x ... | [
"To solve the multiplication of 5135 by 3479 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 5135\n x 3479\n ________\n```\n\n2. **Multiply 5135 by the rightmost digit of 3479 (which is 9):**\n\n```\n 5135\n x 9\n ... | 0336f8ce28831a058a5798f6766bfa4a114ef1319ef59f26ae4cf95ae5955ecf | 04fe1a29876ba15b6ccf526f5bae6d9d4eab36edc53fab33ceb9196f9b2fd10b | 6dc5a61e830709e5086762e564f3546f80ec9031ea8580ddbddb7f73328dd7d8 | 0 | [
"To solve the multiplication of 5135 by 3479 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 5135\n x 3479\n ________\n```\n\n2. **Multiply 5135 by the rightmost digit of 3479 (which is 9):**\n\n```\n 5135\n x 9\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?
5135 x 3479
Think step by step.
## Here is the solution
17864665
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 267,
"explanation": "This sets a sub-goal of multiplying the first digit by the entire number.",
"idx": 0,
"span": "Multiply 5135 by the rightmost digit of 3479 (which is 9)",
"start_idx": 210
},
{
"end_idx": 464,
"explanation": "This indicates a sub-goal to multiply by ... | 0 | 5 |
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 multiplication of 4371 by 4463 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 4371\n x 4463\n ________\n```\n\n2. **Multiply 4371 by each digit of 4463, starting from the ri... | [
"To solve the multiplication of 4371 by 4463 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 4371\n x 4463\n ________\n```\n\n2. **Multiply 4371 by each digit of 4463, starting from the rightmos... | 38d8fa86f6f26083a35fa1c84b9a409166fd169a33d058c7645b260e016fa8d4 | 8c01bb0307bf8dc00f4d37067e1f8337c8461f9f2fae5b8f653fcd045eb21a84 | d396bf20f54f1b1946eda26ca05b203e7db6c374c0f09c969fa7cfb0ddf58647 | 0 | [
"To solve the multiplication of 4371 by 4463 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 4371\n x 4463\n ________\n```\n\n2. **Multiply 4371 by each digit of 4463, 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?
4371 x 4463
Think step by step.
## Here is the solution
19507773
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This statement indicates the intention to create sub-goals by outlining a systematic approach to solving the problem.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanation":... | 0 | 5 |
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