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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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 long multiplication equation \\( 5797 \\times 1699 \\), 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 (1699)\nNotice that \\( 1699 = 2000 - 301 \\). This allows us to rewrite the mult... | [
"To solve the long multiplication equation \\( 5797 \\times 1699 \\), 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 (1699)\nNotice that \\( 1699 = 2000 - 301 \\). This allows us to rewrite the multiplica... | e6dff2315c327c9265214f705753796a0425499cb06183d489680628adb48041 | 1250719f34ac3854505f83869e310e3701d4344792c3b66aac2082ae9e22ecd2 | 3fb3988c5521f2d0bf4de16b2630cbbdcab505a9b0dd2b1c5712884bd8ed92c1 | 1 | [
"9849103"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
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 statement sets a sub-goal to break down the multiplier for easier computation.",
"idx": 0,
"span": "Notice that 1699 = 2000 - 301.",
"start_idx": null
},
{
"end_idx": null,
"explanation": "This indicates the model is breaking down the multiplic... | 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 long multiplication equation \\( 2959 \\times 1340 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nThe number \\( 1340 \\) can be expressed as \\( 1000 + 300 + 40 \\). This allows us to multiply \\( 2959... | [
"To solve the long multiplication equation \\( 2959 \\times 1340 \\), we can break it down into simpler, more manageable steps. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nThe number \\( 1340 \\) can be expressed as \\( 1000 + 300 + 40 \\). This allows us to multiply \\( 2959 \\) b... | a3a3088a8271e7001cbea1a325b6e207c9964ef8d84c3ec428d6ffc7bbcfe9fc | a8bf3cf0445d3579d891c77f85b1aed84ea77006eb776b4c3609c12218562b1f | b06ba674928fef3a5aec17d8e09e50a8973c0f21446505e083325167602cf122 | 1 | [
"3965060"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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": 123,
"explanation": "This indicates a decision to break the problem into smaller parts, marking the first use of a sub-goal.",
"idx": 0,
"span": "we can break it down into simpler, more manageable steps.",
"start_idx": 66
},
{
"end_idx": null,
"explanation": "This showca... | 0 | 5 |
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 long multiplication equation \\(5172 \\times 4941\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a... | [
"To solve the long multiplication equation \\(5172 \\times 4941\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ... | 08266520be443262cda28d8160eed1a250e9d3338a164a50c3988ed688151774 | 810aba8947dbe5add06811a867c63dad8731128fd0f7f04562d66e65a3a2cc2d | 7f2a4c45b05e109095ed733bd4e1b402765d544ce1b3d8d56dfd761fc6834c3c | 0 | [
"25,\\!554,\\!652"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification 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
Count ... | verification | [
{
"end_idx": 1438,
"explanation": "This indicates a self verification step where the model checks the solution by using a different method.",
"idx": 0,
"span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multiplication):",
"start_idx": 1330
},
... | 0 | 2 |
40 | {
"answer": "13613328",
"problem": "What is the solution to the long multiplication equation below?\n\n5976 x 2278\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5976 x 2278\n\nThink step by step.",
"solution": "13613328"
} | 13613328 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5976 x 2278\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 5976 \\times 2278 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 5976 \\) by each digit of \\( 2278 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 5976 \\times 2278 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 5976 \\) by each digit of \\( 2278 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 874e76d8f45b5bee70b75d7538b00a389e5c1cf8fffd0118730641db5a45b4ed | 9bc45fdee765a59970bfc58c763162d3cd53499bdff21f6053bc1241b8ef4045 | 39725d027feb8b73e4536d4d391d8021664b81e2dc65438680e048302d7848a7 | 1 | [
"13613328"
] | 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?
5976 x 2278
Think step by step.
## Here is the solution
13613328
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1392,
"explanation": "This quote indicates the model is preparing to verify the addition process of the partial results.",
"idx": 0,
"span": "Let's add them step by step:",
"start_idx": 1364
},
{
"end_idx": null,
"explanation": "Here, the model calculates the first part ... | 0 | 4 |
40 | {
"answer": "13613328",
"problem": "What is the solution to the long multiplication equation below?\n\n5976 x 2278\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5976 x 2278\n\nThink step by step.",
"solution": "13613328"
} | 13613328 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5976 x 2278\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 5976 \\times 2278 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 5976 \\) by each digit of \\( 2278 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 5976 \\times 2278 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 5976 \\) by each digit of \\( 2278 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 874e76d8f45b5bee70b75d7538b00a389e5c1cf8fffd0118730641db5a45b4ed | 9bc45fdee765a59970bfc58c763162d3cd53499bdff21f6053bc1241b8ef4045 | 39725d027feb8b73e4536d4d391d8021664b81e2dc65438680e048302d7848a7 | 1 | [
"13613328"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5976 x 2278
Think step by step.
## Here is the solution
13613328
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This indicates the intention to decompose the problem, setting the stage for sub-goals.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": 331,
... | 0 | 6 |
39 | {
"answer": "14712346",
"problem": "What is the solution to the long multiplication equation below?\n\n6347 x 2318\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6347 x 2318\n\nThink step by step.",
"solution": "14712346"
} | 14712346 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6347 x 2318\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(6347 \\times 2318\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\(6347\\) by each digit of \\(2318\\) (considering their place values) and then add the results together.\n\n### ... | [
"To solve the long multiplication equation \\(6347 \\times 2318\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\(6347\\) by each digit of \\(2318\\) (considering their place values) and then add the results together.\n\n### Step 1... | 2b96da2928d0bfed999f89cb98bf214b7cc9bc0f5ea580c3a9bf848ba8cb5571 | dcc17fe818b62794a074bbbe6272e6b3eb3e5be3ebbe125634fc7f7f39a1f98d | 9f7451f0f56fd5d27aff436097a244b85061fb03dbb8637f5d7a82298110ff5f | 1 | [
"14712346"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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?
6347 x 2318
Think step by step.
## Here is the solution
14712346
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 165,
"explanation": "This statement identifies the first sub-goal, which is to break down the multiplication problem using a mathematical property.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx... | 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 long multiplication equation \\(4088 \\times 4504\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the re... | [
"To solve the long multiplication equation \\(4088 \\times 4504\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the results.... | 78ff4f09e22313c1dea16bfc5fb6a6f0e52b6a5518fe1e8f172d9d2e4c75ad8b | fd416b6f1935a2b87c20c18bf41073b10cc2e862b53d789643aa326622e86dda | 83dda1b91ef1697aa4765154b0052afc0b1f95dd80b4f9d86bcb64c39ce238b9 | 1 | [
"18412352"
] | 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?
4088 x 4504
Think step by step.
## Here is the solution
18412352
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1398,
"explanation": "This snippet indicates a process of verifying the result by suggesting an alternative method for calculation which demonstrates self verification.",
"idx": 0,
"span": "### Verification\nTo ensure accuracy, let's verify the result using another method, such as **lon... | 0 | 2 |
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 long multiplication equation \\( 3620 \\times 4311 \\), 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 \\( 3620 \\times 4311 \\), 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... | d118874df6523541a7147d5a2f8edba81c08bb784d761865ad026491e05c45fa | d11467254d2772d35d292755a7371296e7b7f0f3660e61a965b07b5a843b4476 | ab6c4caba8a820938da7b02bebee468214364be57f05d189de9f1a6ddb30ef2e | 1 | [
"15605820"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3620 x 4311
Think step by step.
## Here is the solution
15605820
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": null,
"explanation": "This snippet sets the first sub-goal of breaking down the multiplication into manageable steps.",
"idx": 0,
"span": "To solve the long multiplication equation 3620 x 4311, we'll break it down step by step using the distributive property of multiplication over addit... | 0 | 8 |
52 | {
"answer": "10700193",
"problem": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.",
"solution": "10700193"
} | 10700193 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8353 \\times 1281 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8353 \\) by each digit of \\( 1281 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 8353 \\times 1281 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 8353 \\) by each digit of \\( 1281 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | fc0ec46fe96c64e623331aa74a185fc8812209e1c7a801b0389a150ec142ae52 | b800e26ec7b9d1399b91617bf33592657e2751990361eccddfb11c80bf376b40 | 32ba40a01065ff199d363f792cfe3e19a772b4b7ed01667d2747a648f59aeace | 1 | [
"10700193"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8353 x 1281
Think step by step.
## Here is the solution
10700193
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This sentence indicates that the model will decompose the problem into smaller steps, which is a clear sign of creating sub-goals.",
"idx": 0,
"span": "We'll break it down step by step using the **distributive property of multiplication over addition**.",
"start... | 0 | 5 |
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 long multiplication equation \\( 9209 \\times 4972 \\), 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 \\( 9209 \\times 4972 \\), 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... | 0de620503e2bea5183b659cc6c0792508bb1932133471476c168a93f2dad907c | 224f9a334ae64f96b2062fdf3b852a5c8eb80cb2bac951ae19dd168b8f9d90ec | 9f3ce0e7936a2400e7171d73892f3d5a5a97bf418730c8faa07f54350cbd7402 | 1 | [
"45787148"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9209 x 4972
Think step by step.
## Here is the solution
45787148
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 374,
"explanation": "This snippet shows the intention to break the multiplication into smaller parts, setting the stage for the subsequent detailed calculations.",
"idx": 0,
"span": "### Step 1: Break down the multiplication",
"start_idx": 333
},
{
"end_idx": null,
"expl... | 0 | 6 |
44 | {
"answer": "35353296",
"problem": "What is the solution to the long multiplication equation below?\n\n5808 x 6087\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5808 x 6087\n\nThink step by step.",
"solution": "35353296"
} | 35353296 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5808 x 6087\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(5808 \\times 6087\\), 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 \\(5808 \\times 6087\\), 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... | a5ca9f56bc05f63d0fd55839c3ab340481dad3e0aba1bd147b2e43259a14369d | 8321673f0ead2c06fff25e116fb8d20b34d1fe07f299b49bb1dda223c6e27c4a | 74503802c5cc5bd78384b622bbdcff0b800e42d98db04ad924cc7e074f94c9a5 | 1 | [
"35353296"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5808 x 6087
Think step by step.
## Here is the solution
35353296
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": null,
"explanation": "This snippet indicates an intention to approach the problem systematically by breaking it down, which establishes a sub-goal of using the distributive property.",
"idx": 0,
"span": "To solve the long multiplication equation 5808 x 6087, we'll break it down step by ... | 0 | 6 |
74 | {
"answer": "71435079",
"problem": "What is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.",
"solution": "71435079"
} | 71435079 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8417 \\times 8487 \\), 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 \\( 8417 \\times 8487 \\), 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... | 16a78d897666d8ea7ef806dbbbf86778904adace7a14eec06193bdf660538b68 | c7cdb6c8822e3a17922d8b74b8f46b2e91a2509023ccc40ba238630cbcaf9905 | 379d8437de84bc4bac86d9a32169819b210a543ed26ec50716aa52ed713fabf9 | 1 | [
"71435079"
] | 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?
8417 x 8487
Think step by step.
## Here is the solution
71435079
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1478,
"explanation": "This snippet indicates that the model is about to recheck its calculations by using another method, which is a clear instance of self verification.",
"idx": 0,
"span": "### Verification\nTo ensure accuracy, let's verify using another method, such as **long multipli... | 0 | 2 |
74 | {
"answer": "71435079",
"problem": "What is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.",
"solution": "71435079"
} | 71435079 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8417 \\times 8487 \\), 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 \\( 8417 \\times 8487 \\), 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... | 16a78d897666d8ea7ef806dbbbf86778904adace7a14eec06193bdf660538b68 | c7cdb6c8822e3a17922d8b74b8f46b2e91a2509023ccc40ba238630cbcaf9905 | 379d8437de84bc4bac86d9a32169819b210a543ed26ec50716aa52ed713fabf9 | 1 | [
"71435079"
] | 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?
8417 x 8487
Think step by step.
## Here is the solution
71435079
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1478,
"explanation": "This snippet indicates that the model recognized the need for an alternative method of verification after initially providing a solution using the distributive property, suggesting it realized its reasoning could benefit from another approach.",
"idx": 0,
"span": "... | 0 | 1 |
74 | {
"answer": "71435079",
"problem": "What is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.",
"solution": "71435079"
} | 71435079 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8417 x 8487\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8417 \\times 8487 \\), 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 \\( 8417 \\times 8487 \\), 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... | 16a78d897666d8ea7ef806dbbbf86778904adace7a14eec06193bdf660538b68 | c7cdb6c8822e3a17922d8b74b8f46b2e91a2509023ccc40ba238630cbcaf9905 | 379d8437de84bc4bac86d9a32169819b210a543ed26ec50716aa52ed713fabf9 | 1 | [
"71435079"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8417 x 8487
Think step by step.
## Here is the solution
71435079
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This indicates an initial sub-goal of breaking down the problem into smaller steps.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": 371,
"exp... | 0 | 6 |
63 | {
"answer": "50786515",
"problem": "What is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.",
"solution": "50786515"
} | 50786515 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8779 \\times 5785 \\), 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 \\( 8779 \\times 5785 \\), 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... | ad088451d60858f4044bbba972e7c59637b23cbeba1d25b20d71ce23687b6dc0 | 8d5b229cb0737eaf2cc4f596b807421d27907b85b94f9a61031075de0b81c9f4 | c57c2cf84f8407665e4964612ceb088da7a5c76e1ce41dfba2b8af91f195369d | 1 | [
"50786515"
] | 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?
8779 x 5785
Think step by step.
## Here is the solution
50786515
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1424,
"explanation": "The mention of 'Verification' indicates that the model is taking a deliberate step to confirm the previous calculations, which is an instance of self verification.",
"idx": 0,
"span": "### Verification",
"start_idx": 1408
},
{
"end_idx": 1530,
"expl... | 0 | 2 |
63 | {
"answer": "50786515",
"problem": "What is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.",
"solution": "50786515"
} | 50786515 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8779 \\times 5785 \\), 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 \\( 8779 \\times 5785 \\), 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... | ad088451d60858f4044bbba972e7c59637b23cbeba1d25b20d71ce23687b6dc0 | 8d5b229cb0737eaf2cc4f596b807421d27907b85b94f9a61031075de0b81c9f4 | c57c2cf84f8407665e4964612ceb088da7a5c76e1ce41dfba2b8af91f195369d | 1 | [
"50786515"
] | 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?
8779 x 5785
Think step by step.
## Here is the solution
50786515
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1530,
"explanation": "This snippet indicates a shift in approach to double-check the solution, which is characteristic of backtracking. The model recognizes the need to confirm its result through a different method.",
"idx": 0,
"span": "To ensure accuracy, let's verify using another met... | 0 | 1 |
63 | {
"answer": "50786515",
"problem": "What is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.",
"solution": "50786515"
} | 50786515 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8779 x 5785\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8779 \\times 5785 \\), 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 \\( 8779 \\times 5785 \\), 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... | ad088451d60858f4044bbba972e7c59637b23cbeba1d25b20d71ce23687b6dc0 | 8d5b229cb0737eaf2cc4f596b807421d27907b85b94f9a61031075de0b81c9f4 | c57c2cf84f8407665e4964612ceb088da7a5c76e1ce41dfba2b8af91f195369d | 1 | [
"50786515"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8779 x 5785
Think step by step.
## Here is the solution
50786515
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "The model sets a sub-goal of breaking down the multiplication to simplify the calculation.",
"idx": 0,
"span": "We'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": null,
... | 0 | 6 |
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 long multiplication equation \\(1341 \\times 6442\\), 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 \\(1341 \\times 6442\\), 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 ... | 04d39dfd34c5e5e18c8be96f06d9b0475e3fdc7559236b0fb04cedacd436e316 | 736bff5a0560ffc15eb792334f894e3f2288f3796506f9e14505e6a464cba314 | 7224fd06ea18cca1a74a787cd21187b8ebfcae667b613c12fce350af34da5cf2 | 1 | [
"8638722"
] | 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?
1341 x 6442
Think step by step.
## Here is the solution
8638722
## Here are the current task instructions
Count h... | verification | [
{
"end_idx": 1349,
"explanation": "This section explicitly indicates that the model is rechecking its calculations to confirm accuracy.",
"idx": 0,
"span": "### Verification",
"start_idx": 1333
},
{
"end_idx": 1783,
"explanation": "This confirms that the model has cross-verified its ... | 0 | 2 |
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 long multiplication equation \\(1341 \\times 6442\\), 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 \\(1341 \\times 6442\\), 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 ... | 04d39dfd34c5e5e18c8be96f06d9b0475e3fdc7559236b0fb04cedacd436e316 | 736bff5a0560ffc15eb792334f894e3f2288f3796506f9e14505e6a464cba314 | 7224fd06ea18cca1a74a787cd21187b8ebfcae667b613c12fce350af34da5cf2 | 1 | [
"8638722"
] | 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?
1341 x 6442
Think step by step.
## Here is the solution
8638722
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 1454,
"explanation": "This indicates a shift to a different strategy (standard long multiplication) to confirm the previous result.",
"idx": 0,
"span": "let's verify using another method (e.g., the standard long multiplication algorithm)",
"start_idx": 1370
}
] | 0 | 1 |
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 long multiplication equation \\(1341 \\times 6442\\), 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 \\(1341 \\times 6442\\), 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 ... | 04d39dfd34c5e5e18c8be96f06d9b0475e3fdc7559236b0fb04cedacd436e316 | 736bff5a0560ffc15eb792334f894e3f2288f3796506f9e14505e6a464cba314 | 7224fd06ea18cca1a74a787cd21187b8ebfcae667b613c12fce350af34da5cf2 | 1 | [
"8638722"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1341 x 6442
Think step by step.
## Here is the solution
8638722
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 165,
"explanation": "This snippet indicates the model's intention to segment the problem into manageable parts by using a specific mathematical property.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"sta... | 0 | 7 |
47 | {
"answer": "36384372",
"problem": "What is the solution to the long multiplication equation below?\n\n6458 x 5634\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6458 x 5634\n\nThink step by step.",
"solution": "36384372"
} | 36384372 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6458 x 5634\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(6458 \\times 5634\\), we'll break it down step by step using the **long multiplication method**. Here's how it works:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\(6458\\) by each digit of \\(5634\\) (from right to left), keeping track of the pla... | [
"To solve the long multiplication equation \\(6458 \\times 5634\\), we'll break it down step by step using the **long multiplication method**. Here's how it works:\n\n### Step 1: Break down the multiplication\nWe'll multiply \\(6458\\) by each digit of \\(5634\\) (from right to left), keeping track of the place val... | 80ef65a3c46bf5bd1c9cef6eedca4a2c368fc10c4fe2aafc28e9bc9ebb143b9b | 4aaef359f829cc0cd66d72386dc5b9bcd6c525a4f4c1d9f0b226c7526f164ccc | 859ca0b2f0e793041c37c8522e6672bd8cfffae3209f13a26c884a7e47e6fa49 | 1 | [
"36384372"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6458 x 5634
Think step by step.
## Here is the solution
36384372
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 138,
"explanation": "This indicates the intention to decompose the problem into manageable parts, setting the stage for subsequent steps.",
"idx": 0,
"span": "we'll break it down step by step using the **long multiplication method**.",
"start_idx": 64
},
{
"end_idx": 202,
... | 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 long multiplication equation \\(6068 \\times 9090\\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller par... | [
"To solve the long multiplication equation \\(6068 \\times 9090\\), we can break it down into simpler, more manageable steps. Here's a detailed, step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can use the **distributive property of multiplication** to break the problem into smaller parts. Sp... | 261157a9454e089902bcab95764c89dbcba1ea62406a3af06816ea4bef76b224 | ade1a318f1b23bc8ca582324b59692076e303298183a7d87ff74c37adf460a39 | 44917f56b50fe98a82ccd5cf367890b4c55f52a5fa0d8435c9a994ab706c8007 | 1 | [
"55158120"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6068 x 9090
Think step by step.
## Here is the solution
55158120
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 121,
"explanation": "This indicates the intention to create sub-goals for the problem.",
"idx": 0,
"span": "we can break it down into simpler, more manageable steps.",
"start_idx": 64
},
{
"end_idx": null,
"explanation": "This explicitly states the goal of breaking the p... | 0 | 6 |
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 long multiplication equation \\( 3648 \\times 1721 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 3648 \\) by each digit of \\( 1721 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 3648 \\times 1721 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 3648 \\) by each digit of \\( 1721 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 67d599ec90538903a8260469a10ff9f26cfcb525ad91dc2f77b7119a21b05659 | 040d6556224f4fdc2f02e68d1bbb9d2312090f527d67a583eba81aadd7890046 | bb1803e8b1294e2e98c1bccdee6b98bef0785d5f4e87f1a0c0792d20a4b6dff6 | 1 | [
"6278208"
] | 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?
3648 x 1721
Think step by step.
## Here is the solution
6278208
## Here are the current task instructions
Count h... | verification | [
{
"end_idx": 1106,
"explanation": "This snippet indicates the model is taking an additional step to verify its answer through an alternative method.",
"idx": 0,
"span": "### Verification using the standard long multiplication method:",
"start_idx": 1043
},
{
"end_idx": 1195,
"explana... | 0 | 2 |
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 long multiplication equation \\( 3648 \\times 1721 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 3648 \\) by each digit of \\( 1721 \\), accounting for place values, and then sum the results.\n\n### Step 1... | [
"To solve the long multiplication equation \\( 3648 \\times 1721 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This means we'll multiply \\( 3648 \\) by each digit of \\( 1721 \\), accounting for place values, and then sum the results.\n\n### Step 1: Brea... | 67d599ec90538903a8260469a10ff9f26cfcb525ad91dc2f77b7119a21b05659 | 040d6556224f4fdc2f02e68d1bbb9d2312090f527d67a583eba81aadd7890046 | bb1803e8b1294e2e98c1bccdee6b98bef0785d5f4e87f1a0c0792d20a4b6dff6 | 1 | [
"6278208"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3648 x 1721
Think step by step.
## Here is the solution
6278208
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 167,
"explanation": "This indicates the intention to create a structured approach to the problem, hinting at the next steps.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end... | 0 | 6 |
83 | {
"answer": "43486080",
"problem": "What is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.",
"solution": "43486080"
} | 43486080 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 6960 \\times 6248 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (6248)\nWe can express \\( 6248 \\) as:\n\\[ 6248 = 6000 + 200 + 40 + 8 \\]\n... | [
"To solve the long multiplication equation \\( 6960 \\times 6248 \\), we can break it down using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplier (6248)\nWe can express \\( 6248 \\) as:\n\\[ 6248 = 6000 + 200 + 40 + 8 \\]\n\n### ... | a7a7015c27a5067b52a18e4897f8c3fd98e1cec3982670a3c67f1ad26e8adfdb | 664cf68f804a4982b04c02d04afc9d97b00ebab63938714ba2f3fc668ab5d5ca | 24984b8feccae18537d2780beb3f3e448662df5de9e356dbe300ba27dd46075f | 1 | [
"43486080"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6960 x 6248
Think step by step.
## Here is the solution
43486080
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 155,
"explanation": "This sets the sub-goal of applying a specific mathematical property to perform the multiplication.",
"idx": 0,
"span": "we can break it down using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": 233,
"... | 0 | 6 |
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 long multiplication equation \\( 4284 \\times 3503 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the ... | [
"To solve the long multiplication equation \\( 4284 \\times 3503 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the result... | 1bc5e7e20241153e8d8ab7e48776b525515e9282335286264d9b18410786c1de | 56205bc3f05abaabc60f1c1f6195b884532807ee5b8b63c1b641bc90f2a9cf81 | f0f4713006feaa86f88a99dfe7a9034edae6fe57c4acc411c505bd3091d1785c | 1 | [
"15006852"
] | 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?
4284 x 3503
Think step by step.
## Here is the solution
15006852
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1418,
"explanation": "This snippet indicates that the model is rechecking its calculation by using another method, demonstrating self-verification.",
"idx": 0,
"span": "### Verification\nTo ensure accuracy, let's verify the result using another method, such as the **standard long multip... | 0 | 2 |
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 long multiplication equation \\( 4284 \\times 3503 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the ... | [
"To solve the long multiplication equation \\( 4284 \\times 3503 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the result... | 1bc5e7e20241153e8d8ab7e48776b525515e9282335286264d9b18410786c1de | 56205bc3f05abaabc60f1c1f6195b884532807ee5b8b63c1b641bc90f2a9cf81 | f0f4713006feaa86f88a99dfe7a9034edae6fe57c4acc411c505bd3091d1785c | 1 | [
"15006852"
] | 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?
4284 x 3503
Think step by step.
## Here is the solution
15006852
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1418,
"explanation": "This indicates a shift in the approach, suggesting that the model recognized the need to check its previous work and opted to use a different method, indicative of backtracking.",
"idx": 0,
"span": "To ensure accuracy, let's verify the result using another method, ... | 0 | 1 |
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 long multiplication equation \\( 4284 \\times 3503 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the ... | [
"To solve the long multiplication equation \\( 4284 \\times 3503 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, considering their place values, and then adding the result... | 1bc5e7e20241153e8d8ab7e48776b525515e9282335286264d9b18410786c1de | 56205bc3f05abaabc60f1c1f6195b884532807ee5b8b63c1b641bc90f2a9cf81 | f0f4713006feaa86f88a99dfe7a9034edae6fe57c4acc411c505bd3091d1785c | 1 | [
"15006852"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4284 x 3503
Think step by step.
## Here is the solution
15006852
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This statement indicates that the model will follow a systematic approach to reach the final answer, implying the creation of sub-goals.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
... | 0 | 5 |
96 | {
"answer": "30500504",
"problem": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.",
"solution": "30500504"
} | 30500504 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5468 x 5578\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\(5468 \\times 5578\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then a... | [
"To solve the long multiplication equation \\(5468 \\times 5578\\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then adding ... | e88545ef91957b972367833f28be5f89494c8b375090e25d8ece79efd67204fe | 3d7e8af8468fb655109ba77a3d284f1461edf23249081cb13edc6713bd497c48 | 235f4fbd8262e12f698ced4a80b5c0352263da298f8e68d8421b13dcb6ed12ff | 1 | [
"30500504"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5468 x 5578
Think step by step.
## Here is the solution
30500504
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": null,
"explanation": "This snippet shows the first clear intention to break the problem into smaller parts, indicating a sub-goal of breaking down the multiplication.",
"idx": 0,
"span": "To solve the long multiplication equation 5468 x 5578, we'll break it down step by step using the d... | 0 | 7 |
32 | {
"answer": "61868622",
"problem": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.",
"solution": "61868622"
} | 61868622 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7179 x 8618\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 7179 \\times 8618 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then... | [
"To solve the long multiplication equation \\( 7179 \\times 8618 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin... | 9e36f5b47d6b8a1552c080294fdffbb402b42181534f82836a6226aeed4411b2 | 784b48e508871f300eb24c5e9e3d1b2dfafa0606ac4a812f00de4c9acf994614 | 6507ce0feded43c83301ebc1214e22d90b369df30c3a23ebad569e58dd07fc45 | 0 | [
"62,\\!278,\\!622"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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": 167,
"explanation": "This indicates that the model is setting a sub-goal of using a specific method to solve the multiplication.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
... | 0 | 7 |
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 creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8054 x 7191
Think step by step.
## Here is the solution
57916314
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": null,
"explanation": "This snippet explicitly states the intention to break down the problem step by step, indicating sub-goal creation.",
"idx": 0,
"span": "To solve the long multiplication equation 8054 x 7191, we'll break it down step by step using the distributive property of multip... | 0 | 8 |
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 self verification 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 ... | verification | [
{
"end_idx": 1211,
"explanation": "This indicates that the model is intending to verify or double-check its final answer.",
"idx": 0,
"span": "### Verification (Optional)",
"start_idx": 1184
},
{
"end_idx": 1661,
"explanation": "The model confirms that its previous calculation is ind... | 0 | 2 |
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 self verification 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 ... | verification | [
{
"end_idx": 1470,
"explanation": "This explicitly states that the model will verify the accuracy of its calculation by using another method.",
"idx": 0,
"span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., the standard long multiplication algorithm):",
"start_... | 0 | 2 |
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 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": 167,
"explanation": "This indicates the intent to simplify the problem through steps, setting up sub-goals for clarity.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx"... | 0 | 7 |
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 creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2255 x 4532
Think step by step.
## Here is the solution
10219660
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This indicates the intention to divide the problem into smaller parts for easier computation.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": 374... | 0 | 7 |
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 creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8263 x 2793
Think step by step.
## Here is the solution
23078559
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This indicates the intention to break down the problem into simpler parts as part of the reasoning process.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
... | 0 | 5 |
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 creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6316 x 1198
Think step by step.
## Here is the solution
7566568
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 164,
"explanation": "This indicates that the model is setting up a strategy to tackle the problem by breaking it down.",
"idx": 0,
"span": "break it down step by step using the **distributive property of multiplication over addition**",
"start_idx": 70
},
{
"end_idx": 397,
... | 0 | 7 |
56 | {
"answer": "23014114",
"problem": "What is the solution to the long multiplication equation below?\n\n4754 x 4841\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4754 x 4841\n\nThink step by step.",
"solution": "23014114"
} | 23014114 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4754 x 4841\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 4754 \\times 4841 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then... | [
"To solve the long multiplication equation \\( 4754 \\times 4841 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin... | 368f6a6aabd15e04b7148db31667e906fe3090e6c0488bce3e0bd1ae65853e51 | c1b4f0a7c1e3c9ea086d0b112965dddabf54afb416a65191c51731f1c81322ac | 70195460cd630b6d12ed2f23839396cb8df92a026b29b4b6faf78b2cec5efe62 | 1 | [
"23014114"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4754 x 4841
Think step by step.
## Here is the solution
23014114
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1514,
"explanation": "This indicates the model realized that it might need to use a different approach (standard long multiplication) to double-check the accuracy of its previous work, which is a form of backtracking.",
"idx": 0,
"span": "To ensure accuracy, let's verify using another m... | 0 | 1 |
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 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 indicates the plan to decompose the problem into manageable parts.",
"idx": 0,
"span": "We'll break it down step by step using the distributive property of multiplication over addition.",
"start_idx": null
},
{
"end_idx": 372,
"explanation": "T... | 0 | 7 |
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 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": 167,
"explanation": "This indicates the intent to create sub-goals by breaking down the multiplication problem.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": 374,
... | 0 | 7 |
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 creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6031 x 5616
Think step by step.
## Here is the solution
33870096
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 369,
"explanation": "This indicates the model is creating a sub-goal to simplify the multiplication process.",
"idx": 0,
"span": "### Step 1: Break down the multiplication",
"start_idx": 328
},
{
"end_idx": 569,
"explanation": "This is a clear sub-goal where the model id... | 0 | 6 |
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 long multiplication equation \\(2040 \\times 9559\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\(9559\\) as \\(10,000... | [
"To solve the long multiplication equation \\(2040 \\times 9559\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\(9559\\) as \\(10,000 - 441... | 7f7303b9bc744b8ec4357c1a3c29e8563e794dda8341d18cf29f58334b98d942 | ac107c246a52b63f498c1d24376079fb41e28cc59d6ed19fe7cfb57b24ca4a3f | 82cfb3688bbb258c25ae3208e305911d7081671ca949a3565c1e9c7234a18a24 | 1 | [
"19500360"
] | 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?
2040 x 9559
Think step by step.
## Here is the solution
19500360
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1209,
"explanation": "This snippet indicates that the model is attempting a different approach (standard long multiplication) after performing the initial calculation, suggesting it recognized the need to re-evaluate or confirm the solution.",
"idx": 0,
"span": "Alternatively, you can v... | 0 | 1 |
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 long multiplication equation \\(2040 \\times 9559\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\(9559\\) as \\(10,000... | [
"To solve the long multiplication equation \\(2040 \\times 9559\\), we can break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**. Here's a step-by-step solution:\n\n### Step 1: Break down the multiplication\nWe can express \\(9559\\) as \\(10,000 - 441... | 7f7303b9bc744b8ec4357c1a3c29e8563e794dda8341d18cf29f58334b98d942 | ac107c246a52b63f498c1d24376079fb41e28cc59d6ed19fe7cfb57b24ca4a3f | 82cfb3688bbb258c25ae3208e305911d7081671ca949a3565c1e9c7234a18a24 | 1 | [
"19500360"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2040 x 9559
Think step by step.
## Here is the solution
19500360
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 189,
"explanation": "This snippet indicates the model is setting a sub-goal of breaking down the multiplication into simpler steps.",
"idx": 0,
"span": "break it down into simpler, more manageable steps using the **distributive property of multiplication over addition**.",
"start_id... | 0 | 7 |
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 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": 167,
"explanation": "This phrase indicates the intention to divide the problem into smaller parts (sub-goals) using a specific strategy (distributive property).",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
... | 0 | 4 |
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 self verification 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 ... | verification | [
{
"end_idx": 1341,
"explanation": "This heading suggests a self-checking process. The model introduces a verification step to confirm the calculation.",
"idx": 0,
"span": "### Verification (Optional):",
"start_idx": 1313
},
{
"end_idx": 1700,
"explanation": "This statement confirms t... | 0 | 2 |
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 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": 150,
"explanation": "The model indicates its first sub-goal is to break down the multiplication process.",
"idx": 0,
"span": "break it down using the distributive property of multiplication over addition",
"start_idx": 73
},
{
"end_idx": 229,
"explanation": "This is anot... | 0 | 5 |
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 creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8258 x 3647
Think step by step.
## Here is the solution
30116926
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This snippet sets the goal of breaking down the problem using a specific mathematical property.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": 3... | 0 | 5 |
9 | {
"answer": "8774359",
"problem": "What is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.",
"solution": "8774359"
} | 8774359 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 4133 \\times 2123 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then... | [
"To solve the long multiplication equation \\( 4133 \\times 2123 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin... | fa5168f9f58ecce7f5cba4a002f013f83876325d1a3198e9fafb36f691b0b0b1 | e258a17e62732bb5cc4db6897fd95e1ab83eba0a2aa2b73194709f721a12a42b | 1236d3aa175712b479162a6753f65557bca804b266abc59d422be0eabf41738a | 1 | [
"8774359"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4133 x 2123
Think step by step.
## Here is the solution
8774359
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 1455,
"explanation": "This snippet indicates that the model recognized the need to confirm its result by switching to an alternative method (the standard long multiplication algorithm), which demonstrates backtracking.",
"idx": 0,
"span": "let's verify using another method (e.g., the st... | 0 | 1 |
9 | {
"answer": "8774359",
"problem": "What is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.",
"solution": "8774359"
} | 8774359 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4133 x 2123\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 4133 \\times 2123 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then... | [
"To solve the long multiplication equation \\( 4133 \\times 2123 \\), we'll break it down step by step using the **distributive property of multiplication over addition**. This method involves multiplying the first number by each digit of the second number, shifting the partial results appropriately, and then addin... | fa5168f9f58ecce7f5cba4a002f013f83876325d1a3198e9fafb36f691b0b0b1 | e258a17e62732bb5cc4db6897fd95e1ab83eba0a2aa2b73194709f721a12a42b | 1236d3aa175712b479162a6753f65557bca804b266abc59d422be0eabf41738a | 1 | [
"8774359"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4133 x 2123
Think step by step.
## Here is the solution
8774359
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 167,
"explanation": "This indicates the intention to break down the problem into smaller parts, which is a sub-goal.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 66
},
{
"end_idx": 3... | 0 | 6 |
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 creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1791 x 4452
Think step by step.
## Here is the solution
7973532
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 165,
"explanation": "This indicates the start of breaking down the overall process into sub-goals.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication over addition**.",
"start_idx": 64
},
{
"end_idx": 373,
"explanati... | 0 | 6 |
41 | {
"answer": "50145936",
"problem": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.",
"solution": "50145936"
} | 50145936 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8628 \\times 5812 \\), 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 \\( 8628 \\times 5812 \\), 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... | 06680cf836c53900971cfe5dfd9475ebbc2d7840ba3acefa9bc8b102d557d262 | a51170459351065df290f2dfe6806512aae433255fdba108231218113a0b6d45 | 1e2e41162ceb6b3902e7abafb2aacd5b855ff27196f45186486cb8f347bb635c | 1 | [
"50145936"
] | 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?
8628 x 5812
Think step by step.
## Here is the solution
50145936
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1467,
"explanation": "This snippet indicates that the model is rechecking its previous calculations by using a different method, which is a form of self verification.",
"idx": 0,
"span": "### Verification\nTo ensure accuracy, let's verify using another method (e.g., standard long multip... | 0 | 2 |
41 | {
"answer": "50145936",
"problem": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.",
"solution": "50145936"
} | 50145936 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8628 \\times 5812 \\), 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 \\( 8628 \\times 5812 \\), 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... | 06680cf836c53900971cfe5dfd9475ebbc2d7840ba3acefa9bc8b102d557d262 | a51170459351065df290f2dfe6806512aae433255fdba108231218113a0b6d45 | 1e2e41162ceb6b3902e7abafb2aacd5b855ff27196f45186486cb8f347bb635c | 1 | [
"50145936"
] | 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?
8628 x 5812
Think step by step.
## Here is the solution
50145936
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1467,
"explanation": "This snippet indicates a shift in strategy to verify the result through a different method, suggesting backtracking from the original approach.",
"idx": 0,
"span": "To ensure accuracy, let's verify using another method (e.g., standard long multiplication):",
"s... | 0 | 2 |
41 | {
"answer": "50145936",
"problem": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.",
"solution": "50145936"
} | 50145936 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8628 x 5812\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the long multiplication equation \\( 8628 \\times 5812 \\), 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 \\( 8628 \\times 5812 \\), 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... | 06680cf836c53900971cfe5dfd9475ebbc2d7840ba3acefa9bc8b102d557d262 | a51170459351065df290f2dfe6806512aae433255fdba108231218113a0b6d45 | 1e2e41162ceb6b3902e7abafb2aacd5b855ff27196f45186486cb8f347bb635c | 1 | [
"50145936"
] | TAUR-dev/evals__distilled_v3__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8628 x 5812
Think step by step.
## Here is the solution
50145936
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 167,
"explanation": "This establishes the intent to simplify the multiplication by breaking it down, representing an initial sub-goal of understanding the multiplication method.",
"idx": 0,
"span": "we'll break it down step by step using the **distributive property of multiplication ove... | 0 | 6 |
42 | {
"answer": "17540394",
"problem": "What is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.",
"solution": "17540394"
} | 17540394 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5466 x 3209\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the 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 self verification 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 ... | verification | [
{
"end_idx": 1341,
"explanation": "This snippet indicates that the model is rechecking the work done in the previous calculations by verifying the result through an alternative method, which constitutes self verification.",
"idx": 0,
"span": "### Verification using the standard long multiplication m... | 0 | 1 |
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... | [
[
"<think>\nOkay, so I need to multiply 7170 by 4468. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all ... | [
"<think>\nOkay, so I need to multiply 7170 by 4468. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Le... | 105349441fd899fa97f0ebdf9168ed245a30d5fcf30c7c4cdb119911efb130fb | c1e626667be5808a0fd372481fe6ee2c64e91497b2d863503a068247ea83b654 | c9f79caea0d4b141582c9ad202a50a1bdc8c3a1534a6469a1be242ce7231ca9a | 1 | [
"32035560"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
7170 x 4468
Think step by step.
## Here is the solution
32035560
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 2957,
"explanation": "This shows the model is rechecking a previous calculation.",
"idx": 0,
"span": "Wait, let me check that again.",
"start_idx": 2927
},
{
"end_idx": null,
"explanation": "The model explicitly states that it will verify its answer, indicating self-chec... | 0 | 11 |
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... | [
[
"<think>\nOkay, so I need to multiply 5562 by 2338. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces... | [
"<think>\nOkay, so I need to multiply 5562 by 2338. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | 923c71763bc60df33faacafd60cb3344638315ee24c3abd40c7bfe614aea4d06 | 34f99b301f34f5bc6b80d1b7f90d2f431516cc3246c47360e479020cee4edc35 | 6a7da9c68366029fa97d213da6a2091c3aca782e895270dc623b06292598a00f | 1 | [
"13003956"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how m... | backtracking | [
{
"end_idx": 1554,
"explanation": "The model acknowledges a potential error in the calculation process and decides to re-evaluate the steps taken.",
"idx": 0,
"span": "Wait, let me check that again step by step:",
"start_idx": 1511
},
{
"end_idx": 2242,
"explanation": "The model expl... | 0 | 12 |
31 | {
"answer": "31522905",
"problem": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.",
"solution": "31522905"
} | 31522905 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 3585 by 8793. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3585... | [
"<think>\nOkay, so I need to multiply 3585 by 8793. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n3585\nx 87... | 14b7d25b37286f8f2f243217b6b1a60891900dfb2cb28fb80e85edb0dfa8c49b | b94a270f22e2ff8649f25e55d790139588e07a05591cdf9ea67690e3116bf28e | fad0281e18f667216c7e657cfea2c540f1687bd27a739e16a05293b4bcfa5d11 | 1 | [
"31522905"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3585 x 8793
Think step by step.
## Here is the solution
31522905
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1499,
"explanation": "This demonstrates backtracking because the model realizes it made an initial assumption about multiplying by 90 without clarifying that the 9 is in the tens place, correcting itself before proceeding.",
"idx": 0,
"span": "Wait, actually, since the second digit is 9... | 0 | 3 |
17 | {
"answer": "24957688",
"problem": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.",
"solution": "24957688"
} | 24957688 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9772 by 2554. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ... | [
"<think>\nOkay, so I need to multiply 9772 by 2554. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | 8db812af311e804926677f80292c96211a3ec2ed4aea8eaeadf8c4171f904e60 | 6d4506d6b3fb1355af61dfa1b3a3e51bf01345b8f7808128943bcb96c1c3af1a | 96b801b79e8eef3a0b9f114d2317019b89f84d47e1cb383f8671f60da27c97c3 | 1 | [
"24957688"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9772 x 2554
Think step by step.
## Here is the solution
24957688
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1978,
"explanation": "The model confirms that the result of multiplying 9772 by 5 (after shifting) is correct.",
"idx": 0,
"span": "Yes, that's correct.",
"start_idx": 1958
},
{
"end_idx": 1978,
"explanation": "Here, the model verifies its reasoning about shifting the re... | 0 | 7 |
17 | {
"answer": "24957688",
"problem": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.",
"solution": "24957688"
} | 24957688 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9772 by 2554. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ... | [
"<think>\nOkay, so I need to multiply 9772 by 2554. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | 8db812af311e804926677f80292c96211a3ec2ed4aea8eaeadf8c4171f904e60 | 6d4506d6b3fb1355af61dfa1b3a3e51bf01345b8f7808128943bcb96c1c3af1a | 96b801b79e8eef3a0b9f114d2317019b89f84d47e1cb383f8671f60da27c97c3 | 1 | [
"24957688"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9772 x 2554
Think step by step.
## Here is the solution
24957688
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 139,
"explanation": "The model is setting a sub-goal to plan how to tackle the multiplication problem.",
"idx": 0,
"span": "Let me think about how to approach this.",
"start_idx": 99
},
{
"end_idx": 442,
"explanation": "This indicates that the model is breaking down the ... | 0 | 16 |
13 | {
"answer": "60429072",
"problem": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.",
"solution": "60429072"
} | 60429072 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9264 by 6523. 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 9264 by 6523. 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... | 9bbf91846dbe9e7fb0e141b954c8b1d5a5bb8b9120a8cc0c8407ba79ad734601 | 3bef97aec73d02be0a094b71d548bc90d8dae67dd9c55ff0d61f59459bd74553 | 8013e3638abd91ca60da26f7230d3ae9d21f58148853d8689c73a8d5bb98569b | 1 | [
"60429072"
] | 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?
9264 x 6523
Think step by step.
## Here is the solution
60429072
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 647,
"explanation": "The model reflects and confirms its current approach, indicating a pause to reconsider its method.",
"idx": 0,
"span": "Let me confirm: yes, that's the standard method.",
"start_idx": 599
},
{
"end_idx": 3077,
"explanation": "Here the model recognize... | 0 | 4 |
13 | {
"answer": "60429072",
"problem": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.",
"solution": "60429072"
} | 60429072 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9264 by 6523. 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 9264 by 6523. 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... | 9bbf91846dbe9e7fb0e141b954c8b1d5a5bb8b9120a8cc0c8407ba79ad734601 | 3bef97aec73d02be0a094b71d548bc90d8dae67dd9c55ff0d61f59459bd74553 | 8013e3638abd91ca60da26f7230d3ae9d21f58148853d8689c73a8d5bb98569b | 1 | [
"60429072"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9264 x 6523
Think step by step.
## Here is the solution
60429072
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 152,
"explanation": "This statement indicates the intention to break down the problem into smaller steps.",
"idx": 0,
"span": "Let me think about how to approach this step by step.",
"start_idx": 99
},
{
"end_idx": 392,
"explanation": "The statement presents a sub-goal o... | 0 | 8 |
86 | {
"answer": "12608099",
"problem": "What is the solution to the long multiplication equation below?\n\n1747 x 7217\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1747 x 7217\n\nThink step by step.",
"solution": "12608099"
} | 12608099 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1747 x 7217\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 1747 by 7217. 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 1747 by 7217. 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... | 95020db033e29dce76b6525ce30aa31c4027a5629fa4c21bda3c9803ed2c2d3f | 0401c86608c2957adc693936898102dbbbe511b635899003316bc5cb4531abf5 | c7d05c9830d69ce9114183a137dbcd52e1bcf8583659f23c03300bc874c1b521 | 1 | [
"12608099"
] | 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?
1747 x 7217
Think step by step.
## Here is the solution
12608099
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1742,
"explanation": "This is a clear instance of self verification as the model is rechecking its earlier calculations step by step.",
"idx": 0,
"span": "Wait, let me check that again step by step:",
"start_idx": 1699
},
{
"end_idx": 1984,
"explanation": "The model conf... | 0 | 10 |
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... | [
[
"<think>\nOkay, so I need to multiply 1747 by 7217. 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 1747 by 7217. 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... | 95020db033e29dce76b6525ce30aa31c4027a5629fa4c21bda3c9803ed2c2d3f | 0401c86608c2957adc693936898102dbbbe511b635899003316bc5cb4531abf5 | c7d05c9830d69ce9114183a137dbcd52e1bcf8583659f23c03300bc874c1b521 | 1 | [
"12608099"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1747 x 7217
Think step by step.
## Here is the solution
12608099
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 418,
"explanation": "The model is setting a sub-goal of organizing the numbers by place values before performing multiplication.",
"idx": 0,
"span": "First, I should write down the two numbers, aligning them by their place values.",
"start_idx": 338
},
{
"end_idx": 857,
... | 0 | 8 |
69 | {
"answer": "25777960",
"problem": "What is the solution to the long multiplication equation below?\n\n5570 x 4628\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5570 x 4628\n\nThink step by step.",
"solution": "25777960"
} | 25777960 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5570 x 4628\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 5570 by 4628. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all ... | [
"<think>\nOkay, so I need to multiply 5570 by 4628. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Le... | bcfb316e9add593ca6449c49149a609d78fc052577e2e5581e91ba68fa47e7ec | 78a9dbdfbe95593217b3bfb35146af68b4837aa6c4966f5a92ff22293da646ec | d16d02ae6c305a0ffe52ec7b7d3290280c3916f498438a939202e4013ffaecfc | 1 | [
"25777960"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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": 152,
"explanation": "The model sets a sub-goal to think through the approach before proceeding.",
"idx": 0,
"span": "Let me think about how to approach this step by step.",
"start_idx": 99
},
{
"end_idx": 459,
"explanation": "The model proposes a step to set up the multi... | 0 | 17 |
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... | [
[
"<think>\nOkay, so I need to multiply 7066 by 1637. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ... | [
"<think>\nOkay, so I need to multiply 7066 by 1637. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | f8ace94193e2b6a4062935393de69180d16830b23892604bd5df8b9e200f4b03 | 38e0f2e6f7cb0d029b485d43f8a451305ad40972ec60e2e7cb6e907318525678 | 74507a7d3d4370ed4f3e796d9a16cfc3a71eca1fa869cd616a94a90ce9f271d0 | 0 | [
"<think>\nOkay, so I need to multiply 7066 by 1637. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how m... | backtracking | [
{
"end_idx": 3202,
"explanation": "The model acknowledges uncertainty and seeks to reassess the calculations.",
"idx": 0,
"span": "Wait, let me check:",
"start_idx": 3183
},
{
"end_idx": 2879,
"explanation": "The model recognizes it might have made an error and decides to adopt a mor... | 0 | 9 |
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... | [
[
"<think>\nOkay, so I need to multiply 6585 by 9443. 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 6585 by 9443. 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... | 15a32b7cad8170c0d2ba36a881c70422c45c5526f914e7dc94ca34f5d698ea4d | 969e4c6d46c53c62968afbe386c00b5ded1e8a0c5b99e2ea9173d87f19cc5b5b | 52767d740741394087f42563a721cc8c68c6fa96f6a54520dc1b801302c3af3a | 1 | [
"62182155"
] | 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?
6585 x 9443
Think step by step.
## Here is the solution
62182155
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 2586,
"explanation": "This indicates the model is rechecking its addition of results to ensure accuracy.",
"idx": 0,
"span": "Wait, let me check that addition again to make sure I didn't make a mistake.",
"start_idx": 2510
},
{
"end_idx": 2711,
"explanation": "The model ... | 0 | 8 |
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... | [
[
"<think>\nOkay, so I need to multiply 6585 by 9443. 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 6585 by 9443. 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... | 15a32b7cad8170c0d2ba36a881c70422c45c5526f914e7dc94ca34f5d698ea4d | 969e4c6d46c53c62968afbe386c00b5ded1e8a0c5b99e2ea9173d87f19cc5b5b | 52767d740741394087f42563a721cc8c68c6fa96f6a54520dc1b801302c3af3a | 1 | [
"62182155"
] | 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?
6585 x 9443
Think step by step.
## Here is the solution
62182155
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 2586,
"explanation": "The model pauses and decides to recheck its previous addition step, indicating a realization of potential error.",
"idx": 0,
"span": "Wait, let me check that addition again to make sure I didn't make a mistake.",
"start_idx": 2510
},
{
"end_idx": 2910,
... | 0 | 3 |
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... | [
[
"<think>\nOkay, so I need to multiply 5135 by 3479. 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 5135 by 3479. 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... | 0336f8ce28831a058a5798f6766bfa4a114ef1319ef59f26ae4cf95ae5955ecf | 04fe1a29876ba15b6ccf526f5bae6d9d4eab36edc53fab33ceb9196f9b2fd10b | 6dc5a61e830709e5086762e564f3546f80ec9031ea8580ddbddb7f73328dd7d8 | 0 | [
"17865665"
] | 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?
5135 x 3479
Think step by step.
## Here is the solution
17864665
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 2031,
"explanation": "The model is taking a moment to review its previous multiplication of 7.",
"idx": 0,
"span": "Wait, let me check that again.",
"start_idx": 2001
},
{
"end_idx": 2912,
"explanation": "The model explicitly states that it needs to verify the correctnes... | 0 | 21 |
29 | {
"answer": "19507773",
"problem": "What is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.",
"solution": "19507773"
} | 19507773 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4371 x 4463\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 4371 by 4463. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 4371 by 4463. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | 38d8fa86f6f26083a35fa1c84b9a409166fd169a33d058c7645b260e016fa8d4 | 8c01bb0307bf8dc00f4d37067e1f8337c8461f9f2fae5b8f653fcd045eb21a84 | d396bf20f54f1b1946eda26ca05b203e7db6c374c0f09c969fa7cfb0ddf58647 | 0 | [
"<think>\nOkay, so I need to multiply 4371 by 4463. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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": 336,
"explanation": "This indicates a sub-goal to remember the steps needed for long multiplication.",
"idx": 0,
"span": "Let me try to recall the exact steps.",
"start_idx": 299
},
{
"end_idx": 418,
"explanation": "This shows a specific step (sub-goal) in the process of... | 0 | 7 |
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... | [
[
"<think>\nOkay, so I need to multiply 2526 by 4576. 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 the two numbers:\n\n2... | [
"<think>\nOkay, so I need to multiply 2526 by 4576. 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 the two numbers:\n\n2526\nx... | 4fdf4354c82bff0109d257d5b6764ee16963501349dff3351fc5f10081fdcbde | cb244c804796167b7f9ceb7f75988f6e4069d4401d926e57a960b0b7eb9ab52a | 8dd28f826e4804e80e18bab727240ce2f29df5145b7e76906ebc055138c244b3 | 1 | [
"11558976"
] | 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?
2526 x 4576
Think step by step.
## Here is the solution
11558976
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 889,
"explanation": "This indicates that the model is rechecking the previous calculation.",
"idx": 0,
"span": "Wait, let me check that again:",
"start_idx": 859
},
{
"end_idx": 1066,
"explanation": "The model confirms the accuracy of its previous result.",
"idx": 1,... | 0 | 13 |
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... | [
[
"<think>\nOkay, so I need to multiply 2526 by 4576. 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 the two numbers:\n\n2... | [
"<think>\nOkay, so I need to multiply 2526 by 4576. 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 the two numbers:\n\n2526\nx... | 4fdf4354c82bff0109d257d5b6764ee16963501349dff3351fc5f10081fdcbde | cb244c804796167b7f9ceb7f75988f6e4069d4401d926e57a960b0b7eb9ab52a | 8dd28f826e4804e80e18bab727240ce2f29df5145b7e76906ebc055138c244b3 | 1 | [
"11558976"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2526 x 4576
Think step by step.
## Here is the solution
11558976
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 421,
"explanation": "This sets a sub-goal to break down 4576 before performing multiplications.",
"idx": 0,
"span": "First, I should probably break down the second number, 4576, into its individual place values.",
"start_idx": 327
},
{
"end_idx": 579,
"explanation": "Thi... | 0 | 12 |
71 | {
"answer": "32987221",
"problem": "What is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.",
"solution": "32987221"
} | 32987221 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 6263 by 5267. 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\n6263... | [
"<think>\nOkay, so I need to multiply 6263 by 5267. 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\n6263\nx 52... | 44eeb7f6091056ede8c3c82e76ca5f2f050a5e967af19b208c1cac3084edf904 | 024d918ec6c46bd508a1e1b781b0282604c788936d2b734398648fa23a3e338d | 31387d881452b896688d451be74a46ea6e04769a9690cfeb49345d3592867f06 | 1 | [
"32987221"
] | 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?
6263 x 5267
Think step by step.
## Here is the solution
32987221
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 897,
"explanation": "This shows the model is re-checking its previous calculation of 7 x 6263.",
"idx": 0,
"span": "Let me check that again to make sure.",
"start_idx": 860
},
{
"end_idx": 970,
"explanation": "The model confirms the result of 7 x 6263 after re-checking."... | 0 | 10 |
71 | {
"answer": "32987221",
"problem": "What is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.",
"solution": "32987221"
} | 32987221 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6263 x 5267\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 6263 by 5267. 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\n6263... | [
"<think>\nOkay, so I need to multiply 6263 by 5267. 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\n6263\nx 52... | 44eeb7f6091056ede8c3c82e76ca5f2f050a5e967af19b208c1cac3084edf904 | 024d918ec6c46bd508a1e1b781b0282604c788936d2b734398648fa23a3e338d | 31387d881452b896688d451be74a46ea6e04769a9690cfeb49345d3592867f06 | 1 | [
"32987221"
] | 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?
6263 x 5267
Think step by step.
## Here is the solution
32987221
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 897,
"explanation": "The model pauses to verify its previous calculation, indicating uncertainty, and preparing to reassess the correctness of its previous steps.",
"idx": 0,
"span": "Let me check that again to make sure.",
"start_idx": 860
},
{
"end_idx": 2963,
"explana... | 0 | 8 |
25 | {
"answer": "71524759",
"problem": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.",
"solution": "71524759"
} | 71524759 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9101 by 7859. 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 9101 by 7859. 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... | e08b4df1e4743d436329f7038d7a8b3f017d64fc0ad8b6a3f75ef3c43e12ca75 | 71864967f1a96b4ff050ae6e0039bc2fe61e9ee70af0443e33466373525cdefe | a8ef80900a80e051981803d11514709a66956f26e1f367ce084187319ecfe469 | 1 | [
"71524759"
] | 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?
9101 x 7859
Think step by step.
## Here is the solution
71524759
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 785,
"explanation": "The model is checking its understanding of the long multiplication process.",
"idx": 0,
"span": "Let me confirm that.",
"start_idx": 765
},
{
"end_idx": 1701,
"explanation": "The model is verifying its intermediate result of 9101 x 9.",
"idx": 1,... | 0 | 11 |
25 | {
"answer": "71524759",
"problem": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.",
"solution": "71524759"
} | 71524759 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9101 by 7859. 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 9101 by 7859. 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... | e08b4df1e4743d436329f7038d7a8b3f017d64fc0ad8b6a3f75ef3c43e12ca75 | 71864967f1a96b4ff050ae6e0039bc2fe61e9ee70af0443e33466373525cdefe | a8ef80900a80e051981803d11514709a66956f26e1f367ce084187319ecfe469 | 1 | [
"71524759"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9101 x 7859
Think step by step.
## Here is the solution
71524759
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 139,
"explanation": "This indicates the model is planning its approach, which suggests a division of the problem into steps.",
"idx": 0,
"span": "Let me think about how to approach this.",
"start_idx": 99
},
{
"end_idx": 336,
"explanation": "Here, the model indicates it ... | 0 | 12 |
93 | {
"answer": "31656604",
"problem": "What is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.",
"solution": "31656604"
} | 31656604 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6503 x 4868\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 6503 by 4868. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 6503 by 4868. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | d276285aaae2a9b79540e0ed36f80d1c65ceb3cae93d73c576eeb27a2f25c375 | 71ba49b1acc92f8331f0988bedd91e30f7b9e69b63c1b48c88c3cf4a7effcb98 | 32f888cfeec8e8dbde8e50461a0c07c6b2e37d513f47da71817e0f41e482c637 | 1 | [
"31656604"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6503 x 4868
Think step by step.
## Here is the solution
31656604
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 786,
"explanation": "The model rechecks its understanding of the long multiplication method before beginning the operations.",
"idx": 0,
"span": "Let me confirm that.",
"start_idx": 766
},
{
"end_idx": 1618,
"explanation": "The model indicates it will re-evaluate its pre... | 0 | 18 |
95 | {
"answer": "18951400",
"problem": "What is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.",
"solution": "18951400"
} | 18951400 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 3848 by 4925. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ... | [
"<think>\nOkay, so I need to multiply 3848 by 4925. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | f84100cb6e26ff386de07fa5541984f5ffe619fd2b09f7e0b4f0bc4f3a0d207e | f187aa52c2ddab6f8d658c6f01189ae82f323aeec8a014ebd51a88a4578ec558 | 877f6fcbea6f1f02b6be6da4ef7a06ee99afa21123786d75a72ababcd35a7fc4 | 1 | [
"18951400"
] | 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?
3848 x 4925
Think step by step.
## Here is the solution
18951400
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 139,
"explanation": "The model pauses and reflects on the approach, indicating a need to reconsider its strategy.",
"idx": 0,
"span": "Let me think about how to approach this.",
"start_idx": 99
},
{
"end_idx": 627,
"explanation": "The model recognizes an error in its ini... | 0 | 7 |
0 | {
"answer": "27920880",
"problem": "What is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.",
"solution": "27920880"
} | 27920880 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2983 x 9360\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2983 by 9360. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, I should probably approach this step by step to avoid m... | [
"<think>\nOkay, so I need to multiply 2983 by 9360. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, I should probably approach this step by step to avoid mistake... | 049b734fc33b4d136be3940d181cef03c74ac3683c0b8e7532b8a741d83152e9 | 8a73ad045d104953ef589b56ac66669f0147b013b439daba0d0e513b5d9b5f41 | 1524b58d71fd3c67a0c7fa073af5f0a366117855afc1af1e1a3a3f74fcf69775 | 1 | [
"27920880"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2983 x 9360
Think step by step.
## Here is the solution
27920880
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 2268,
"explanation": "The model realizes it may have made a mistake after calculating the product and decides to verify its calculations.",
"idx": 0,
"span": "Wait, let me check that again.",
"start_idx": 2238
},
{
"end_idx": 4347,
"explanation": "Here the model acknowle... | 0 | 4 |
20 | {
"answer": "36059446",
"problem": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.",
"solution": "36059446"
} | 36059446 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7222 x 4993\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 7222 by 4993. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b... | [
"<think>\nOkay, so I need to multiply 7222 by 4993. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu... | ecdf1cd125c43607d77629ed85af3c399c3128f4b19097218c6d2d3c362af5b0 | f81a68b0aad63474c340b8e091c2b768b79055538ecc2e0fc9268096d2306716 | 48db18f274b8d04206205e1fbfb74aba904b40b01b0b5ebaa0d05ef456ec7804 | 1 | [
"36059446"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how m... | backtracking | [
{
"end_idx": 841,
"explanation": "This snippet indicates the model is reconsidering its approach to see if its earlier strategy will yield the correct result.",
"idx": 0,
"span": "Let me check if that works.",
"start_idx": 814
},
{
"end_idx": 1792,
"explanation": "Here, the model sug... | 0 | 3 |
90 | {
"answer": "68236670",
"problem": "What is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.",
"solution": "68236670"
} | 68236670 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7655 x 8914\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655... | [
"<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655\nx 89... | ef59a8900d35a71122cbc9acdfde2440b2dd1081a3461bf41f6f80be145f7088 | af948f2fa1912b2733cf26fe9d259e8e500fe23e88d83cff3f924c74fdde9c25 | c8d4d0fe0ac64b677a0b6ecf701b930d320602b1373a31a2f1146c0d0857a5c4 | 0 | [
"<think>\nOkay, so I need to multiply 7655 by 8914. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me start by writing down both numbers:\n\n7655\nx 89... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
7655 x 8914
Think step by step.
## Here is the solution
68236670
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 300,
"explanation": "The model is setting a sub-goal of organizing the problem to visualize the multiplication more clearly.",
"idx": 0,
"span": "Let me start by writing down both numbers:",
"start_idx": 258
},
{
"end_idx": 418,
"explanation": "This indicates a sub-goal ... | 0 | 15 |
43 | {
"answer": "8440497",
"problem": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"solution": "8440497"
} | 8440497 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 1807 by 4671. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 1807 by 4671. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | 6de761d2605b3a2028b0147438297deade10a816c5dfd2d1469147c6f0ee0d0b | 31db4eba81ffd5b079eb8ed95ed77da101c75e5970cde973a07df3fa5a249e76 | 8bb45eb75298b7f2c239ca65ddea6adaded0956fdbe6210da81f3a4319288921 | 1 | [
"8440497"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification 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
Count h... | verification | [
{
"end_idx": 1808,
"explanation": "The model pauses to verify the calculation for the tens place before proceeding.",
"idx": 0,
"span": "Wait, hold on. Let me check that again.",
"start_idx": 1769
},
{
"end_idx": 2049,
"explanation": "After recalculating the result for the tens place... | 0 | 8 |
43 | {
"answer": "8440497",
"problem": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"solution": "8440497"
} | 8440497 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 1807 by 4671. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 1807 by 4671. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | 6de761d2605b3a2028b0147438297deade10a816c5dfd2d1469147c6f0ee0d0b | 31db4eba81ffd5b079eb8ed95ed77da101c75e5970cde973a07df3fa5a249e76 | 8bb45eb75298b7f2c239ca65ddea6adaded0956fdbe6210da81f3a4319288921 | 1 | [
"8440497"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how ma... | backtracking | [
{
"end_idx": 1808,
"explanation": "The model recognizes a potential error in its previous calculation involving the tens place, prompting a re-evaluation.",
"idx": 0,
"span": "Wait, hold on. Let me check that again.",
"start_idx": 1769
},
{
"end_idx": 3728,
"explanation": "The model ... | 0 | 8 |
79 | {
"answer": "82387669",
"problem": "What is the solution to the long multiplication equation below?\n\n8281 x 9949\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8281 x 9949\n\nThink step by step.",
"solution": "82387669"
} | 82387669 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8281 x 9949\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 8281 by 9949. Hmm, that's a pretty big multiplication problem. Let me think about the best way to approach this. I remember that for large numbers, breaking them down into smaller parts can make the calculation easier. Maybe I can use the distributive property here, like ... | [
"<think>\nOkay, so I need to multiply 8281 by 9949. Hmm, that's a pretty big multiplication problem. Let me think about the best way to approach this. I remember that for large numbers, breaking them down into smaller parts can make the calculation easier. Maybe I can use the distributive property here, like splitt... | 556e1b584060b1766b49077dd0f14d86af4a067fb0f87ed09535fd6d343b1d3d | e8e0c847b98c0118be14f4cd4fa70219bc8b750651d16cf8652f9bb861940ab9 | d407b925af7e81140d15fbd20c4427ba3cbbed6c6bd2008f2136f181c51d14d5 | 1 | [
"82387669"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8281 x 9949
Think step by step.
## Here is the solution
82387669
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 148,
"explanation": "The model is reconsidering its approach to solving the problem, which indicates a potential dead end from its initial thought process.",
"idx": 0,
"span": "Hmm, that's a pretty big multiplication problem. Let me think about the best way to approach this.",
"star... | 0 | 7 |
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... | [
[
"<think>\nOkay, so I need to multiply 6339 by 4764. 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 6339 by 4764. 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... | bf7ac6a89ccec0a5187f14dafb8c6559cacf7d0b55b54355bcd41ff11e65cafc | dba7e6306e26a0d9bacc926d8ac32c2f1bd06db73eed8b66a08fcd46ca34c755 | 8ec945bd7a4da696c39823dad39685086470b5c9e69db3e00aa4a3f7509aa5c1 | 0 | [
"<think>\nOkay, so I need to multiply 6339 by 4764. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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": 336,
"explanation": "The model sets a sub-goal to recall the steps involved in long multiplication.",
"idx": 0,
"span": "Let me try to recall the exact steps.",
"start_idx": 299
},
{
"end_idx": 418,
"explanation": "The model creates a plan to align the numbers, setting a... | 0 | 12 |
82 | {
"answer": "39408570",
"problem": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.",
"solution": "39408570"
} | 39408570 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 4710 by 8367. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all ... | [
"<think>\nOkay, so I need to multiply 4710 by 8367. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Le... | 5edacc69dd52666e061535d55e4fdcdba49af9e73df6e9fb477e989eeede285e | 3c720008cddd25942ad622f6c86d9e1d18b9e50dfc24601477a96abadac69af4 | c924f58d055a40758756c4bdc3ba590f134dc45d25fe9a93edbb3a058405fc1b | 1 | [
"39408570"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4710 x 8367
Think step by step.
## Here is the solution
39408570
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 152,
"explanation": "This indicates a preparation to set sub-goals for the problem.",
"idx": 0,
"span": "Let me think about how to approach this step by step.",
"start_idx": 99
},
{
"end_idx": 459,
"explanation": "Here, the model sets a sub-goal to align the numbers corr... | 0 | 15 |
67 | {
"answer": "82799430",
"problem": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.",
"solution": "82799430"
} | 82799430 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ... | [
"<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | ae9e7e6b969a499659a1bee98e8450b110a211d9dc04c5689f82cd5be3346945 | c8ad58af76f2034a08c5358f27ad3afa2746d289a4991abc17dcd7ba3bb42f49 | ce34a85ebe917cd5776ef5cc2d4ed9f1492ccccd2cf211376c114fe2d9dccc69 | 0 | [
"<think>\nOkay, so I need to multiply 9870 by 8389. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9870 x 8389
Think step by step.
## Here is the solution
82799430
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1305,
"explanation": "The model realizes that it needs to verify its previous calculations after arriving at a figure.",
"idx": 0,
"span": "Wait, let me check again:",
"start_idx": 1280
},
{
"end_idx": 2030,
"explanation": "This indicates that the model identifies a need... | 0 | 15 |
24 | {
"answer": "47262788",
"problem": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.",
"solution": "47262788"
} | 47262788 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since b... | [
"<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu... | 86b806571fd1dcb8e7211e9415bcaa518fcd7be4a3ac4b86965395db0b8c5a11 | f7497f8512820adbc188c5d10e9c389bad3efb43b08243314d02a4102d7436e1 | 826362f36d586308dfe0409a105da0deb863df3a679364cc6ff3b6962830f81c | 0 | [
"<think>\nOkay, so I need to multiply 8012 by 5899. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8012 x 5899
Think step by step.
## Here is the solution
47262788
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 736,
"explanation": "The model indicates it will check its approach for correctness.",
"idx": 0,
"span": "Let me check that.",
"start_idx": 718
},
{
"end_idx": 874,
"explanation": "The model confirms the method it is using with a specific example to ensure correctness.",... | 0 | 7 |
62 | {
"answer": "2346851",
"problem": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.",
"solution": "2346851"
} | 2346851 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbe... | [
"<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbers one... | 429fbf70a25497b4ebc13a61f790ce87311d94970ce90da01b46c57f1e646c7c | f047254650a01855da6e271a6816b1adb47319c425b95e2571feeed50acc30de | 4c00f8817c0801383bb215c04fe14606248ff7848cf4493716408c5d66d7260c | 0 | [
"<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbers one... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2171 x 1081
Think step by step.
## Here is the solution
2346851
## Here are the current task instructions
Count h... | verification | [
{
"end_idx": 1424,
"explanation": "This indicates the model is reassessing the calculation of 2171 multiplied by 8 and verifying it is correct, ensuring the placement of the zero is handled correctly.",
"idx": 0,
"span": "Wait, hold on. Wait, 2171 x 8 is 17,368. Then, since it's the tens place, we n... | 0 | 7 |
62 | {
"answer": "2346851",
"problem": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.",
"solution": "2346851"
} | 2346851 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbe... | [
"<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbers one... | 429fbf70a25497b4ebc13a61f790ce87311d94970ce90da01b46c57f1e646c7c | f047254650a01855da6e271a6816b1adb47319c425b95e2571feeed50acc30de | 4c00f8817c0801383bb215c04fe14606248ff7848cf4493716408c5d66d7260c | 0 | [
"<think>\nOkay, so I need to multiply 2171 by 1081. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to recall the exact steps.\n\nFirst, maybe I should write down the numbers one... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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": 427,
"explanation": "This shows a sub-goal of preparing the numbers for multiplication.",
"idx": 0,
"span": "First, maybe I should write down the numbers one on top of the other, aligning them by their place values. So, 2171 is the multiplicand and 1081 is the multiplier.",
"start_i... | 0 | 14 |
58 | {
"answer": "16019024",
"problem": "What is the solution to the long multiplication equation below?\n\n7288 x 2198\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7288 x 2198\n\nThink step by step.",
"solution": "16019024"
} | 16019024 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7288 x 2198\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 7288 by 2198. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try ... | [
"<think>\nOkay, so I need to multiply 7288 by 2198. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to rec... | a51c0957f50fa15eafbff2921eb312d3c27cbf12236a91343141281c003a8ed2 | 8bdcd4e13e8dcbd9737fc289780913164ac63514d397a4a5c14391f5c7056a4f | 9206edebcc38e5031f20dd0a3b4f4b6deebc23e097872bd701e91ea7b807d576 | 1 | [
"16019024"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
7288 x 2198
Think step by step.
## Here is the solution
16019024
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 677,
"explanation": "Here, the model realizes it may have made an assumption about number alignment and considers adjusting its approach.",
"idx": 0,
"span": "But wait, actually, in long multiplication, usually the number with more digits is on top, but both numbers here have four digit... | 0 | 10 |
38 | {
"answer": "28478385",
"problem": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.",
"solution": "28478385"
} | 28478385 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 3645 by 7813. 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 3645 by 7813. 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... | a0c1e308d45faa92afb5dbbe159d273eae03111a64548678ba789205a87a56e6 | 07292871d4dbe109329fff28ce7ca23a39c30d69f8636a5083c6fdaf24af27bd | 6c805fa38f4d20c7c15155bc975bec56859b3c9083637e3e889de25801b7af29 | 1 | [
"28478385"
] | 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?
3645 x 7813
Think step by step.
## Here is the solution
28478385
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1631,
"explanation": "The model is rechecking its calculation for accuracy.",
"idx": 0,
"span": "So, 3 x 3645 = 10,935. Wait, let me check that again:",
"start_idx": 1578
},
{
"end_idx": 1904,
"explanation": "The model confirms the correctness of the intermediate product... | 0 | 14 |
38 | {
"answer": "28478385",
"problem": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.",
"solution": "28478385"
} | 28478385 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3645 x 7813\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 3645 by 7813. 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 3645 by 7813. 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... | a0c1e308d45faa92afb5dbbe159d273eae03111a64548678ba789205a87a56e6 | 07292871d4dbe109329fff28ce7ca23a39c30d69f8636a5083c6fdaf24af27bd | 6c805fa38f4d20c7c15155bc975bec56859b3c9083637e3e889de25801b7af29 | 1 | [
"28478385"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3645 x 7813
Think step by step.
## Here is the solution
28478385
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 152,
"explanation": "This indicates the model is preparing to break down the multiplication process into more manageable parts.",
"idx": 0,
"span": "Let me think about how to approach this step by step.",
"start_idx": 99
},
{
"end_idx": 392,
"explanation": "The phrase 'F... | 0 | 13 |
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... | [
[
"<think>\nOkay, so I need to multiply 6990 by 4149. 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 6990 by 4149. 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... | b32f9ea575f2db204a67bc5069fe8153e7400256229d32aa2bbc5b921e26fca2 | e18f378a2d10eee7636f31d55d977237c790297de1cf14cf1467fcf385b6fb59 | d787079ff7ee54366c2d20f1d3e4f3bf86cf06c3acb1f54392fc15a2447f3b48 | 0 | [
"28991510"
] | 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?
6990 x 4149
Think step by step.
## Here is the solution
29001510
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 2145,
"explanation": "The model is rechecking a previous calculation to confirm its correctness.",
"idx": 0,
"span": "Wait, but let me check that again.",
"start_idx": 2111
},
{
"end_idx": 2556,
"explanation": "This confirms that the calculated answer is consistent with ... | 0 | 9 |
99 | {
"answer": "33130300",
"problem": "What is the solution to the long multiplication equation below?\n\n9275 x 3572\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9275 x 3572\n\nThink step by step.",
"solution": "33130300"
} | 33130300 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9275 x 3572\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 9275 by 3572. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces... | [
"<think>\nOkay, so I need to multiply 9275 by 3572. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | 3c81eef7624b254e40f20cf11ddb9ac6a3a843b79f2b65a31555f9e8992d07d0 | 5c8988a856dd951e684dd7756f10caccb99943d8bccbe129de1a00908dbb668d | ac960ec003b1eddcd90ebec8b1a4d7ac82a75c4d33eb398837cc2dc8cfdd6719 | 0 | [
"33140300"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking 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
Count how m... | backtracking | [
{
"end_idx": 1961,
"explanation": "The model pauses and re-evaluates the previous multiplication to ensure accuracy, indicating it may have considered an error.",
"idx": 0,
"span": "Let me check again. 9275 x 3 is 27,825. Adding three zeros gives 27,825,000. That seems correct.",
"start_idx": 18... | 0 | 5 |
34 | {
"answer": "32006344",
"problem": "What is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.",
"solution": "32006344"
} | 32006344 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6508 x 4918\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 6508 by 4918. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 6508 by 4918. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | 992aa76eb41dd9c0d412124f3b536a94a7a322a8a17c9b9e0fa269f4c4d86f10 | f58370259d1498eb0d35e652106622af3a632f04848a87bb813d71f1bab46652 | c9e53082da38d0a27750cb13b30472f9f53c85ece90fa556089c00e6c83de83d | 0 | [
"31906344"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6508 x 4918
Think step by step.
## Here is the solution
32006344
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 418,
"explanation": "This clearly establishes a sub-goal to write down and align the numbers before starting the multiplication.",
"idx": 0,
"span": "First, I should write down the two numbers, aligning them by their place values.",
"start_idx": 338
},
{
"end_idx": 641,
... | 0 | 19 |
7 | {
"answer": "28848365",
"problem": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.",
"solution": "28848365"
} | 28848365 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 6461 by 4465. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 6461 by 4465. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | ae785a65c4eb6165405f969de764ef6bb22badcf40cf0ae69d16080d3c1e7e74 | c6d203237190063b907c3d2cb0b9562e95adb1073a99abad9a892f4595b13f25 | e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888 | 1 | [
"28848365"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used self verification as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6461 x 4465
Think step by step.
## Here is the solution
28848365
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 915,
"explanation": "The model confirms it will compute this multiplication before proceeding.",
"idx": 0,
"span": "Let me calculate 6461 x 4 first.",
"start_idx": 883
},
{
"end_idx": 1501,
"explanation": "The model double-checks and verifies its calculation for the hund... | 0 | 17 |
7 | {
"answer": "28848365",
"problem": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.",
"solution": "28848365"
} | 28848365 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 6461 by 4465. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me tr... | [
"<think>\nOkay, so I need to multiply 6461 by 4465. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | ae785a65c4eb6165405f969de764ef6bb22badcf40cf0ae69d16080d3c1e7e74 | c6d203237190063b907c3d2cb0b9562e95adb1073a99abad9a892f4595b13f25 | e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888 | 1 | [
"28848365"
] | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6461 x 4465
Think step by step.
## Here is the solution
28848365
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1501,
"explanation": "The model realized it made an error in calculating the value and corrected itself.",
"idx": 0,
"span": "Wait, no, 25,844 with two zeros is 2,584,400? Wait, 25,844 x 100 is 2,584,400. Yes, that's correct.",
"start_idx": 1402
},
{
"end_idx": 3102,
"ex... | 0 | 2 |
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... | [
[
"<think>\nOkay, so I need to multiply 5797 by 1699. 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 5797 by 1699. 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... | e6dff2315c327c9265214f705753796a0425499cb06183d489680628adb48041 | 1250719f34ac3854505f83869e310e3701d4344792c3b66aac2082ae9e22ecd2 | 3fb3988c5521f2d0bf4de16b2630cbbdcab505a9b0dd2b1c5712884bd8ed92c1 | 0 | [
"<think>\nOkay, so I need to multiply 5797 by 1699. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both nu... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5797 x 1699
Think step by step.
## Here is the solution
9849103
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 1950,
"explanation": "The model expresses uncertainty and decides to reevaluate its previous calculation.",
"idx": 0,
"span": "Wait, let me check that again.",
"start_idx": 1920
},
{
"end_idx": 1985,
"explanation": "The model suggests a different approach instead of cont... | 0 | 13 |
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... | [
[
"<think>\nOkay, so I need to multiply 2959 by 1340. Hmm, let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since one of the numbers here is 1340, which ends with a zero,... | [
"<think>\nOkay, so I need to multiply 2959 by 1340. Hmm, let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since one of the numbers here is 1340, which ends with a zero, maybe... | a3a3088a8271e7001cbea1a325b6e207c9964ef8d84c3ec428d6ffc7bbcfe9fc | a8bf3cf0445d3579d891c77f85b1aed84ea77006eb776b4c3609c12218562b1f | b06ba674928fef3a5aec17d8e09e50a8973c0f21446505e083325167602cf122 | 1 | [
"3965060"
] | 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?
2959 x 1340
Think step by step.
## Here is the solution
3965060
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 1421,
"explanation": "This snippet indicates the model recognizes an issue with its previous calculation and decides to reassess its approach.",
"idx": 0,
"span": "Wait, no, that's not right. Wait, 295900 + 88770. Let's break it down:",
"start_idx": 1351
},
{
"end_idx": 1726... | 0 | 8 |
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... | [
[
"<think>\nOkay, so I need to multiply 5172 by 4941. 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 5172 by 4941. 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... | 08266520be443262cda28d8160eed1a250e9d3338a164a50c3988ed688151774 | 810aba8947dbe5add06811a867c63dad8731128fd0f7f04562d66e65a3a2cc2d | 7f2a4c45b05e109095ed733bd4e1b402765d544ce1b3d8d56dfd761fc6834c3c | 1 | [
"25554852"
] | 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?
5172 x 4941
Think step by step.
## Here is the solution
25554852
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 2434,
"explanation": "This snippet indicates that the model is reconsidering its previous calculations, suggesting a possible error and prompting a reassessment, characteristic of backtracking.",
"idx": 0,
"span": "Wait, let me check that addition again to make sure I didn't make a mist... | 0 | 2 |
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