doc_id int64 0 99 | doc dict | target stringclasses 100
values | arguments dict | resps listlengths 1 1 | filtered_resps listlengths 1 1 | doc_hash stringclasses 100
values | prompt_hash stringclasses 100
values | target_hash stringclasses 100
values | exact_match int64 0 1 | extracted_answers listlengths 1 1 | repo stringclasses 4
values | behavior_prompt stringlengths 2.23k 114k | behavior_type stringclasses 3
values | behavior_spans listlengths 0 91 | new_behavior_span_count int64 0 12 | behavior_count int64 0 91 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
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... | [
[
"<think>\nOkay, so I need to multiply 5976 by 2278. 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 5976 by 2278. 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... | 874e76d8f45b5bee70b75d7538b00a389e5c1cf8fffd0118730641db5a45b4ed | 9bc45fdee765a59970bfc58c763162d3cd53499bdff21f6053bc1241b8ef4045 | 39725d027feb8b73e4536d4d391d8021664b81e2dc65438680e048302d7848a7 | 1 | [
"13613328"
] | 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?
5976 x 2278
Think step by step.
## Here is the solution
13613328
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 699,
"explanation": "This shows the model validating its approach as it breaks down the numbers.",
"idx": 0,
"span": "That should work, right?",
"start_idx": 675
},
{
"end_idx": 936,
"explanation": "The model verifies that the calculation of the first partial product has... | 0 | 10 |
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... | [
[
"<think>\nOkay, so I need to multiply 5976 by 2278. 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 5976 by 2278. 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... | 874e76d8f45b5bee70b75d7538b00a389e5c1cf8fffd0118730641db5a45b4ed | 9bc45fdee765a59970bfc58c763162d3cd53499bdff21f6053bc1241b8ef4045 | 39725d027feb8b73e4536d4d391d8021664b81e2dc65438680e048302d7848a7 | 1 | [
"13613328"
] | 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?
5976 x 2278
Think step by step.
## Here is the solution
13613328
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 139,
"explanation": "This shows self-reflection, indicating uncertainty about the approach.",
"idx": 0,
"span": "Hmm, that's a pretty big multiplication problem. Let me think about how to approach this.",
"start_idx": 50
},
{
"end_idx": 759,
"explanation": "The model mov... | 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... | [
[
"<think>\nOkay, so I need to multiply 6347 by 2318. 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 6347 by 2318. 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... | 2b96da2928d0bfed999f89cb98bf214b7cc9bc0f5ea580c3a9bf848ba8cb5571 | dcc17fe818b62794a074bbbe6272e6b3eb3e5be3ebbe125634fc7f7f39a1f98d | 9f7451f0f56fd5d27aff436097a244b85061fb03dbb8637f5d7a82298110ff5f | 1 | [
"14712346"
] | 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?
6347 x 2318
Think step by step.
## Here is the solution
14712346
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 2350,
"explanation": "This snippet shows the model double-checking its understanding of how to handle the tens place in the multiplication progress.",
"idx": 0,
"span": "Wait, let me check that again. If the digit is in the tens place, then the partial product is the result of multiplyi... | 0 | 8 |
23 | {
"answer": "23698528",
"problem": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.",
"solution": "23698528"
} | 23698528 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 5264 by 4502. 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 5264 by 4502. 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... | 467efaefcd2a6254a48dba49c96348a16741d2a29cf26f9fc9ebd5ef7119ef38 | d4380623017316755389cf282ea99f42c9ca3d79503de14cda36296643bdb7f3 | 9acf84ffc74ac729ed3a04cb797425abad757abe309f5ea3cc994b6eb67415bf | 1 | [
"23698528"
] | 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?
5264 x 4502
Think step by step.
## Here is the solution
23698528
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1690,
"explanation": "The model confirms the result of multiplying by zero, verifying that this part of the calculation does not contribute.",
"idx": 0,
"span": "Let me confirm: 0 x 5264 = 0, shifted one place is still 0.",
"start_idx": 1631
},
{
"end_idx": 2321,
"explan... | 0 | 6 |
23 | {
"answer": "23698528",
"problem": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.",
"solution": "23698528"
} | 23698528 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 5264 by 4502. 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 5264 by 4502. 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... | 467efaefcd2a6254a48dba49c96348a16741d2a29cf26f9fc9ebd5ef7119ef38 | d4380623017316755389cf282ea99f42c9ca3d79503de14cda36296643bdb7f3 | 9acf84ffc74ac729ed3a04cb797425abad757abe309f5ea3cc994b6eb67415bf | 1 | [
"23698528"
] | 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?
5264 x 4502
Think step by step.
## Here is the solution
23698528
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 2321,
"explanation": "This indicates the model is questioning its previous result, suggesting a rethink of the addition step.",
"idx": 0,
"span": "Wait, hold on. Let me check that again.",
"start_idx": 2282
},
{
"end_idx": 3126,
"explanation": "Here, the model realizes a... | 0 | 4 |
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... | [
[
"<think>\nOkay, so I need to multiply 4088 by 4504. 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 4088 by 4504. 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... | 78ff4f09e22313c1dea16bfc5fb6a6f0e52b6a5518fe1e8f172d9d2e4c75ad8b | fd416b6f1935a2b87c20c18bf41073b10cc2e862b53d789643aa326622e86dda | 83dda1b91ef1697aa4765154b0052afc0b1f95dd80b4f9d86bcb64c39ce238b9 | 1 | [
"18412352"
] | 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?
4088 x 4504
Think step by step.
## Here is the solution
18412352
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1989,
"explanation": "This indicates the model is not sure of its previous addition and is reconsidering its approach, showing backtracking.",
"idx": 0,
"span": "Wait, let me check that addition again to make sure I didn't make a mistake.",
"start_idx": 1913
},
{
"end_idx": ... | 0 | 3 |
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... | [
[
"<think>\nOkay, so I need to multiply 4088 by 4504. 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 4088 by 4504. 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... | 78ff4f09e22313c1dea16bfc5fb6a6f0e52b6a5518fe1e8f172d9d2e4c75ad8b | fd416b6f1935a2b87c20c18bf41073b10cc2e862b53d789643aa326622e86dda | 83dda1b91ef1697aa4765154b0052afc0b1f95dd80b4f9d86bcb64c39ce238b9 | 1 | [
"18412352"
] | 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?
4088 x 4504
Think step by step.
## Here is the solution
18412352
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 334,
"explanation": "The model is indicating an intent to recall specific steps necessary to perform long multiplication, which indicates a sub-goal of understanding the multiplication procedure.",
"idx": 0,
"span": "Let me try to recall the exact steps.",
"start_idx": 297
},
{
... | 0 | 9 |
12 | {
"answer": "12750510",
"problem": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"solution": "12750510"
} | 12750510 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2346 by 5435. 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 2346 by 5435. 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... | 9c0f756608a41e81493494e5980128ca5d5bf612d1287696b6fdbee2e7d5c843 | c398c627e82c46a7c988f7e704210279300a4dcd8b5a17b1fd08f0e975d5143a | e0737304a4b6947e5325f2c6ab36f3429acfef0f744e5e84b195c802c544d8e7 | 1 | [
"12750510"
] | 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?
2346 x 5435
Think step by step.
## Here is the solution
12750510
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1392,
"explanation": "The model recognizes a need to verify its calculation for accuracy, indicating potential uncertainty.",
"idx": 0,
"span": "Wait, let me check that again:",
"start_idx": 1362
},
{
"end_idx": 2091,
"explanation": "The model expresses a need to double-... | 0 | 8 |
12 | {
"answer": "12750510",
"problem": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"solution": "12750510"
} | 12750510 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2346 by 5435. 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 2346 by 5435. 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... | 9c0f756608a41e81493494e5980128ca5d5bf612d1287696b6fdbee2e7d5c843 | c398c627e82c46a7c988f7e704210279300a4dcd8b5a17b1fd08f0e975d5143a | e0737304a4b6947e5325f2c6ab36f3429acfef0f744e5e84b195c802c544d8e7 | 1 | [
"12750510"
] | 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?
2346 x 5435
Think step by step.
## Here is the solution
12750510
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 392,
"explanation": "This indicates a sub-goal of organizing the numbers for clarity before performing calculations.",
"idx": 0,
"span": "First, I should write down the two numbers, aligning them by their place values.",
"start_idx": 312
},
{
"end_idx": 843,
"explanation... | 0 | 11 |
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... | [
[
"<think>\nOkay, so I need to multiply 3620 by 4311. 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 3620 by 4311. 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... | d118874df6523541a7147d5a2f8edba81c08bb784d761865ad026491e05c45fa | d11467254d2772d35d292755a7371296e7b7f0f3660e61a965b07b5a843b4476 | ab6c4caba8a820938da7b02bebee468214364be57f05d189de9f1a6ddb30ef2e | 1 | [
"15605820"
] | 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?
3620 x 4311
Think step by step.
## Here is the solution
15605820
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1935,
"explanation": "The model pauses to double-check its understanding of the hundreds place shift, confirming its previous reasoning.",
"idx": 0,
"span": "Wait, hold on. Wait, the hundreds place is the third digit from the right. So, when we multiply by the hundreds digit (which is 3... | 0 | 5 |
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... | [
[
"<think>\nOkay, so I need to multiply 3620 by 4311. 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 3620 by 4311. 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... | d118874df6523541a7147d5a2f8edba81c08bb784d761865ad026491e05c45fa | d11467254d2772d35d292755a7371296e7b7f0f3660e61a965b07b5a843b4476 | ab6c4caba8a820938da7b02bebee468214364be57f05d189de9f1a6ddb30ef2e | 1 | [
"15605820"
] | 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?
3620 x 4311
Think step by step.
## Here is the solution
15605820
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": null,
"explanation": "This snippet indicates a realization of a mistake in the previous reasoning regarding the shifting of the partial product when calculating the hundreds place. The prompt 'Wait, hold on.' signals that the model is reassessing its previous reasoning.",
"idx": 0,
"spa... | 0 | 4 |
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... | [
[
"<think>\nOkay, so I need to multiply 8353 by 1281. 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 8353 by 1281. 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... | fc0ec46fe96c64e623331aa74a185fc8812209e1c7a801b0389a150ec142ae52 | b800e26ec7b9d1399b91617bf33592657e2751990361eccddfb11c80bf376b40 | 32ba40a01065ff199d363f792cfe3e19a772b4b7ed01667d2747a648f59aeace | 0 | [
"10699193"
] | 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?
8353 x 1281
Think step by step.
## Here is the solution
10700193
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1637,
"explanation": "This indicates a recognition of potential error and a decision to reevaluate the computation, reflecting backtracking.",
"idx": 0,
"span": "Let me do that again step by step to be sure.",
"start_idx": 1592
},
{
"end_idx": 2464,
"explanation": "Here,... | 0 | 5 |
52 | {
"answer": "10700193",
"problem": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.",
"solution": "10700193"
} | 10700193 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 8353 by 1281. 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 8353 by 1281. 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... | fc0ec46fe96c64e623331aa74a185fc8812209e1c7a801b0389a150ec142ae52 | b800e26ec7b9d1399b91617bf33592657e2751990361eccddfb11c80bf376b40 | 32ba40a01065ff199d363f792cfe3e19a772b4b7ed01667d2747a648f59aeace | 0 | [
"10699193"
] | 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?
8353 x 1281
Think step by step.
## Here is the solution
10700193
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 336,
"explanation": "The model is setting a sub-goal to remember the standard steps involved in long multiplication.",
"idx": 0,
"span": "Let me try to recall the exact steps.",
"start_idx": 299
},
{
"end_idx": 418,
"explanation": "This indicates the model is establishin... | 0 | 10 |
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... | [
[
"<think>\nOkay, so I need to multiply 9209 by 4972. 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 9209 by 4972. 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... | 0de620503e2bea5183b659cc6c0792508bb1932133471476c168a93f2dad907c | 224f9a334ae64f96b2062fdf3b852a5c8eb80cb2bac951ae19dd168b8f9d90ec | 9f3ce0e7936a2400e7171d73892f3d5a5a97bf418730c8faa07f54350cbd7402 | 1 | [
"45787148"
] | 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?
9209 x 4972
Think step by step.
## Here is the solution
45787148
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 2597,
"explanation": "This shows the model is rechecking its addition calculation to verify correctness.",
"idx": 0,
"span": "Let me check that addition.",
"start_idx": 2570
},
{
"end_idx": 2597,
"explanation": "The model is pausing to re-evaluate its addition for accura... | 0 | 9 |
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... | [
[
"<think>\nOkay, so I need to multiply 9209 by 4972. 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 9209 by 4972. 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... | 0de620503e2bea5183b659cc6c0792508bb1932133471476c168a93f2dad907c | 224f9a334ae64f96b2062fdf3b852a5c8eb80cb2bac951ae19dd168b8f9d90ec | 9f3ce0e7936a2400e7171d73892f3d5a5a97bf418730c8faa07f54350cbd7402 | 1 | [
"45787148"
] | 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?
9209 x 4972
Think step by step.
## Here is the solution
45787148
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 336,
"explanation": "This indicates the model is setting a sub-goal to recall the steps of long multiplication before proceeding.",
"idx": 0,
"span": "Let me try to recall the exact steps.",
"start_idx": 299
},
{
"end_idx": 418,
"explanation": "This shows a sub-goal of p... | 0 | 11 |
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... | [
[
"<think>\nOkay, so I need to multiply 5808 by 6087. 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 5808 by 6087. 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... | a5ca9f56bc05f63d0fd55839c3ab340481dad3e0aba1bd147b2e43259a14369d | 8321673f0ead2c06fff25e116fb8d20b34d1fe07f299b49bb1dda223c6e27c4a | 74503802c5cc5bd78384b622bbdcff0b800e42d98db04ad924cc7e074f94c9a5 | 1 | [
"35353296"
] | 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?
5808 x 6087
Think step by step.
## Here is the solution
35353296
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 139,
"explanation": "The model is considering the overall approach to the problem, which sets an initial sub-goal of defining a method.",
"idx": 0,
"span": "Let me think about how to approach this.",
"start_idx": 99
},
{
"end_idx": 442,
"explanation": "This indicates a c... | 0 | 12 |
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... | [
[
"<think>\nOkay, so I need to multiply 8417 by 8487. 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 8417 by 8487. 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... | 16a78d897666d8ea7ef806dbbbf86778904adace7a14eec06193bdf660538b68 | c7cdb6c8822e3a17922d8b74b8f46b2e91a2509023ccc40ba238630cbcaf9905 | 379d8437de84bc4bac86d9a32169819b210a543ed26ec50716aa52ed713fabf9 | 1 | [
"71435079"
] | 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?
8417 x 8487
Think step by step.
## Here is the solution
71435079
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1625,
"explanation": "The model pauses to verify its previous calculation, indicating a reconsideration of the current approach.",
"idx": 0,
"span": "Wait, let me check that again step by step:",
"start_idx": 1582
},
{
"end_idx": 2489,
"explanation": "This shows the mode... | 0 | 5 |
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... | [
[
"<think>\nOkay, so I need to multiply 8779 by 5785. 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 8779 by 5785. 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... | ad088451d60858f4044bbba972e7c59637b23cbeba1d25b20d71ce23687b6dc0 | 8d5b229cb0737eaf2cc4f596b807421d27907b85b94f9a61031075de0b81c9f4 | c57c2cf84f8407665e4964612ceb088da7a5c76e1ce41dfba2b8af91f195369d | 0 | [
"<think>\nOkay, so I need to multiply 8779 by 5785. 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?
8779 x 5785
Think step by step.
## Here is the solution
50786515
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 139,
"explanation": "The model is breaking down the problem into an approach strategy, indicating a preliminary sub-goal.",
"idx": 0,
"span": "Let me think about how to approach this.",
"start_idx": 99
},
{
"end_idx": 418,
"explanation": "This sets the goal of properly f... | 0 | 25 |
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... | [
[
"<think>\nOkay, so I need to multiply 1341 by 6442. 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 1341 by 6442. 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... | 04d39dfd34c5e5e18c8be96f06d9b0475e3fdc7559236b0fb04cedacd436e316 | 736bff5a0560ffc15eb792334f894e3f2288f3796506f9e14505e6a464cba314 | 7224fd06ea18cca1a74a787cd21187b8ebfcae667b613c12fce350af34da5cf2 | 1 | [
"8638722"
] | 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?
1341 x 6442
Think step by step.
## Here is the solution
8638722
## Here are the current task instructions
Count h... | verification | [
{
"end_idx": 3417,
"explanation": "The model rechecks its previous addition steps to ensure the accuracy of the calculation.",
"idx": 0,
"span": "Let me check that again.",
"start_idx": 3393
},
{
"end_idx": 2565,
"explanation": "Indicates the model is considering alternative methods ... | 0 | 9 |
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... | [
[
"<think>\nOkay, so I need to multiply 6458 by 5634. 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 6458 by 5634. 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... | 80ef65a3c46bf5bd1c9cef6eedca4a2c368fc10c4fe2aafc28e9bc9ebb143b9b | 4aaef359f829cc0cd66d72386dc5b9bcd6c525a4f4c1d9f0b226c7526f164ccc | 859ca0b2f0e793041c37c8522e6672bd8cfffae3209f13a26c884a7e47e6fa49 | 1 | [
"36384372"
] | 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?
6458 x 5634
Think step by step.
## Here is the solution
36384372
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1600,
"explanation": "This statement indicates that the model is re-evaluating its previous calculation, which is a clear instance of self verification.",
"idx": 0,
"span": "Wait, let me check that again step by step:",
"start_idx": 1557
},
{
"end_idx": 1828,
"explanatio... | 0 | 17 |
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... | [
[
"<think>\nOkay, so I need to multiply 6458 by 5634. 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 6458 by 5634. 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... | 80ef65a3c46bf5bd1c9cef6eedca4a2c368fc10c4fe2aafc28e9bc9ebb143b9b | 4aaef359f829cc0cd66d72386dc5b9bcd6c525a4f4c1d9f0b226c7526f164ccc | 859ca0b2f0e793041c37c8522e6672bd8cfffae3209f13a26c884a7e47e6fa49 | 1 | [
"36384372"
] | 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?
6458 x 5634
Think step by step.
## Here is the solution
36384372
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1600,
"explanation": "The model is indicating it is going back to verify its previous calculations, which is an indication of backtracking.",
"idx": 0,
"span": "Wait, let me check that again step by step:",
"start_idx": 1557
},
{
"end_idx": 2276,
"explanation": "The mode... | 0 | 16 |
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... | [
[
"<think>\nOkay, so I need to multiply 6068 by 9090. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without getting ... | [
"<think>\nOkay, so I need to multiply 6068 by 9090. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without getting lost i... | 261157a9454e089902bcab95764c89dbcba1ea62406a3af06816ea4bef76b224 | ade1a318f1b23bc8ca582324b59692076e303298183a7d87ff74c37adf460a39 | 44917f56b50fe98a82ccd5cf367890b4c55f52a5fa0d8435c9a994ab706c8007 | 1 | [
"55158120"
] | 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?
6068 x 9090
Think step by step.
## Here is the solution
55158120
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1184,
"explanation": "This shows the model rechecking its previous calculation for correctness.",
"idx": 0,
"span": "Wait, let me check that again. 6068 x 9:",
"start_idx": 1144
},
{
"end_idx": 1210,
"explanation": "The model is setting up to verify its previous calculat... | 0 | 13 |
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... | [
[
"<think>\nOkay, so I need to multiply 6068 by 9090. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without getting ... | [
"<think>\nOkay, so I need to multiply 6068 by 9090. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without getting lost i... | 261157a9454e089902bcab95764c89dbcba1ea62406a3af06816ea4bef76b224 | ade1a318f1b23bc8ca582324b59692076e303298183a7d87ff74c37adf460a39 | 44917f56b50fe98a82ccd5cf367890b4c55f52a5fa0d8435c9a994ab706c8007 | 1 | [
"55158120"
] | 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?
6068 x 9090
Think step by step.
## Here is the solution
55158120
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1174,
"explanation": "This indicates the model recognized a potential error and decided to re-evaluate its previous computation.",
"idx": 0,
"span": "Wait, let me check that again.",
"start_idx": 1144
},
{
"end_idx": 2041,
"explanation": "This shows the model is reconsid... | 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... | [
[
"<think>\nOkay, so I need to multiply 3648 by 1721. 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 3648 by 1721. 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... | 67d599ec90538903a8260469a10ff9f26cfcb525ad91dc2f77b7119a21b05659 | 040d6556224f4fdc2f02e68d1bbb9d2312090f527d67a583eba81aadd7890046 | bb1803e8b1294e2e98c1bccdee6b98bef0785d5f4e87f1a0c0792d20a4b6dff6 | 1 | [
"6278208"
] | 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?
3648 x 1721
Think step by step.
## Here is the solution
6278208
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 1600,
"explanation": "The model realizes a mistake in the previous calculation and corrects it.",
"idx": 0,
"span": "Wait, no, actually, since it's 700, it's 3648 x 7 x 100. So, 25536 x 100 = 2553600.",
"start_idx": 1517
},
{
"end_idx": 2901,
"explanation": "The model ac... | 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... | [
[
"<think>\nOkay, so I need to multiply 3648 by 1721. 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 3648 by 1721. 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... | 67d599ec90538903a8260469a10ff9f26cfcb525ad91dc2f77b7119a21b05659 | 040d6556224f4fdc2f02e68d1bbb9d2312090f527d67a583eba81aadd7890046 | bb1803e8b1294e2e98c1bccdee6b98bef0785d5f4e87f1a0c0792d20a4b6dff6 | 1 | [
"6278208"
] | 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?
3648 x 1721
Think step by step.
## Here is the solution
6278208
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 139,
"explanation": "The model indicates a need to strategize its approach, hinting at the formulation of sub-goals.",
"idx": 0,
"span": "Let me think about how to approach this.",
"start_idx": 99
},
{
"end_idx": 444,
"explanation": "The model specifies a first step in s... | 0 | 12 |
26 | {
"answer": "14414517",
"problem": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.",
"solution": "14414517"
} | 14414517 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2197 x 6561\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2197 by 6561. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are fou... | [
"<think>\nOkay, so I need to multiply 2197 by 6561. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are four digi... | ce1d1e88e5d5d1b907340415cef4033fd57feb39204445c173e104252e065039 | fd38f749b167080de657869244fd4f5dc795f1f67f902c929ea764c6c0d54743 | 6e0d197287f12c0e46ade106566a2bba77bf87e4f740924c47933c17ec8b304e | 0 | [
"<think>\nOkay, so I need to multiply 2197 by 6561. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part, and then adding up the results. But since both numbers are four digi... | 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?
2197 x 6561
Think step by step.
## Here is the solution
14414517
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1913,
"explanation": "The model recognizes a potential error in its current reasoning and decides to reconsider its approach.",
"idx": 0,
"span": "Wait, that might not be the right approach. Let me think again.",
"start_idx": 1850
},
{
"end_idx": 2334,
"explanation": "Th... | 0 | 12 |
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... | [
[
"<think>\nOkay, so I need to multiply 6960 by 6248. 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 6960 by 6248. 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... | a7a7015c27a5067b52a18e4897f8c3fd98e1cec3982670a3c67f1ad26e8adfdb | 664cf68f804a4982b04c02d04afc9d97b00ebab63938714ba2f3fc668ab5d5ca | 24984b8feccae18537d2780beb3f3e448662df5de9e356dbe300ba27dd46075f | 1 | [
"43486080"
] | 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?
6960 x 6248
Think step by step.
## Here is the solution
43486080
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1600,
"explanation": "The model is verifying its calculation of 6960 multiplied by 6000 by breaking it down into smaller components.",
"idx": 0,
"span": "Wait, hold on, 6000 is 6 x 1000, so 6960 x 6000 is 6960 x 6 x 1000.",
"start_idx": 1533
},
{
"end_idx": 1724,
"explan... | 0 | 10 |
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... | [
[
"<think>\nOkay, so I need to multiply 6960 by 6248. 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 6960 by 6248. 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... | a7a7015c27a5067b52a18e4897f8c3fd98e1cec3982670a3c67f1ad26e8adfdb | 664cf68f804a4982b04c02d04afc9d97b00ebab63938714ba2f3fc668ab5d5ca | 24984b8feccae18537d2780beb3f3e448662df5de9e356dbe300ba27dd46075f | 1 | [
"43486080"
] | 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?
6960 x 6248
Think step by step.
## Here is the solution
43486080
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1711,
"explanation": "This shows the model recognizing a potential error in its previous computation and deciding to reassess and recalculate.",
"idx": 0,
"span": "Wait, no, that can't be right. Wait, 6960 x 6000. Let me compute that properly.",
"start_idx": 1632
},
{
"end_i... | 0 | 7 |
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... | [
[
"<think>\nOkay, so I need to multiply 4284 by 3503. 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 4284 by 3503. 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... | 1bc5e7e20241153e8d8ab7e48776b525515e9282335286264d9b18410786c1de | 56205bc3f05abaabc60f1c1f6195b884532807ee5b8b63c1b641bc90f2a9cf81 | f0f4713006feaa86f88a99dfe7a9034edae6fe57c4acc411c505bd3091d1785c | 1 | [
"15006852"
] | 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?
4284 x 3503
Think step by step.
## Here is the solution
15006852
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 918,
"explanation": "The model indicates a shift in its reasoning approach by suggesting to try a different multiplication strategy.",
"idx": 0,
"span": "Let me try that.",
"start_idx": 902
},
{
"end_idx": 3270,
"explanation": "The model recognizes a potential error in i... | 0 | 6 |
80 | {
"answer": "12950873",
"problem": "What is the solution to the long multiplication equation below?\n\n5993 x 2161\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5993 x 2161\n\nThink step by step.",
"solution": "12950873"
} | 12950873 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5993 x 2161\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 5993 by 2161. 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 5993 by 2161. 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... | db918c49175bf12e3a0a4a9a8b4c675f8eab52359d4996b05727f1a63b221e4b | 90968395f8f17ea1ec8dba3c8b5f16cf9cf763299ebd4cbf679747d9689c06d0 | f59f9b0f4be6d28c920a2be502d4e00b31054875d98e89b1f30a4d4f0c15694a | 1 | [
"12950873"
] | 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?
5993 x 2161
Think step by step.
## Here is the solution
12950873
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": null,
"explanation": "This shows a plan to break down the larger multiplication into smaller parts, which is a typical use of a sub-goal.",
"idx": 0,
"span": "Let me break down the multiplier (2161) into its individual digits: 2, 1, 6, and 1.",
"start_idx": null
},
{
"end_id... | 0 | 14 |
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... | [
[
"<think>\nOkay, so I need to multiply 5468 by 5578. 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 5468 by 5578. 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... | e88545ef91957b972367833f28be5f89494c8b375090e25d8ece79efd67204fe | 3d7e8af8468fb655109ba77a3d284f1461edf23249081cb13edc6713bd497c48 | 235f4fbd8262e12f698ced4a80b5c0352263da298f8e68d8421b13dcb6ed12ff | 1 | [
"30500504"
] | 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?
5468 x 5578
Think step by step.
## Here is the solution
30500504
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1619,
"explanation": "This indicates a reconsideration of the previous calculation to ensure accuracy, suggesting potential uncertainty.",
"idx": 0,
"span": "Let me check that again step by step:",
"start_idx": 1582
},
{
"end_idx": 2925,
"explanation": "The model is taki... | 0 | 8 |
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... | [
[
"<think>\nOkay, so I need to multiply 7179 by 8618. 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\n7179... | [
"<think>\nOkay, so I need to multiply 7179 by 8618. 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\n7179\nx 86... | 9e36f5b47d6b8a1552c080294fdffbb402b42181534f82836a6226aeed4411b2 | 784b48e508871f300eb24c5e9e3d1b2dfafa0606ac4a812f00de4c9acf994614 | 6507ce0feded43c83301ebc1214e22d90b369df30c3a23ebad569e58dd07fc45 | 1 | [
"61868622"
] | 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?
7179 x 8618
Think step by step.
## Here is the solution
61868622
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1445,
"explanation": "The model checks its reasoning about the tens place multiplication.",
"idx": 0,
"span": "Wait, but actually, since it's the tens place, the multiplication is 7179 x 10 = 71,790. So that's correct.",
"start_idx": 1338
},
{
"end_idx": 2030,
"explanati... | 0 | 22 |
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... | [
[
"<think>\nOkay, so I need to multiply 7179 by 8618. 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\n7179... | [
"<think>\nOkay, so I need to multiply 7179 by 8618. 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\n7179\nx 86... | 9e36f5b47d6b8a1552c080294fdffbb402b42181534f82836a6226aeed4411b2 | 784b48e508871f300eb24c5e9e3d1b2dfafa0606ac4a812f00de4c9acf994614 | 6507ce0feded43c83301ebc1214e22d90b369df30c3a23ebad569e58dd07fc45 | 1 | [
"61868622"
] | 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?
7179 x 8618
Think step by step.
## Here is the solution
61868622
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 456,
"explanation": "This indicates the intention to break the problem down into smaller steps by focusing on each digit of the second number.",
"idx": 0,
"span": "First, I should probably break down the multiplication by each digit of the second number (8618), starting from the rightmo... | 0 | 5 |
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... | [
[
"<think>\nOkay, so I need to multiply 8054 by 7191. 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 8054 by 7191. 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... | 8a6565a3d5a59536bb669a7b4cac8f363ad319a2f9d8b65c2db37110d46e9d72 | bcbd6331e8f3d28dfc01a6e3f1b4e63f45a2094f66cbdcd0396832332b58ab45 | 65d510573bd8f871adccf29ed0624dd21a5f1a7265b86ad6e8cf5d45592d1f42 | 1 | [
"57916314"
] | 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?
8054 x 7191
Think step by step.
## Here is the solution
57916314
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 957,
"explanation": "The model is double-checking its breakdown of the components of 7191.",
"idx": 0,
"span": "Let me confirm:",
"start_idx": 942
},
{
"end_idx": 2400,
"explanation": "The model is verifying the accuracy of its addition before finalizing the answer.",
... | 0 | 6 |
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... | [
[
"<think>\nOkay, so I need to multiply 9385 by 8304. 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 9385 by 8304. 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... | 51421595677fb553ae15dd8d4c2cfab3f5e9e38d72ea8429fc0383f3186eb170 | f41d81077172555722fbc5671a03a73eded924deea06b5ae93553d913a54b6f4 | 8a79ab6e97d0c43149ffe3239ca72c3d86c7e39f3cd6eead049a0be84d641abf | 1 | [
"77933040"
] | 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?
9385 x 8304
Think step by step.
## Here is the solution
77933040
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 671,
"explanation": "The model considers whether to write the multiplication vertically and evaluates its approach.",
"idx": 0,
"span": "Let me just write 9385 x 8304 vertically.",
"start_idx": 630
},
{
"end_idx": null,
"explanation": "The model re-evaluates its approach... | 0 | 5 |
76 | {
"answer": "8198197",
"problem": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.",
"solution": "8198197"
} | 8198197 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1169 x 7013\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 1169 by 7013. 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 1169 by 7013. 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... | e36997b1205c9d8a00192572b442dcdd9b21fc00ee1cf442503ae7b8dfaa47bf | 6204fbf2bec0f2f57d3f6eabc569536172c6e1bc6ba841ebf9adfdc6d3f9a0c2 | 9e411d46783b9f12b5f6db7ac6e903c763dba9aaa3cd315771e08b3035f4cd9b | 1 | [
"8198197"
] | 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?
1169 x 7013
Think step by step.
## Here is the solution
8198197
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 636,
"explanation": "The model realizes a potential mistake in its previous decision and reassesses how to organize the numbers for multiplication.",
"idx": 0,
"span": "But wait, actually, in long multiplication, the number with more digits is usually placed on top, but both numbers her... | 0 | 5 |
48 | {
"answer": "23078559",
"problem": "What is the solution to the long multiplication equation below?\n\n8263 x 2793\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8263 x 2793\n\nThink step by step.",
"solution": "23078559"
} | 23078559 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8263 x 2793\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 8263 by 2793. 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\n ... | [
"<think>\nOkay, so I need to multiply 8263 by 2793. 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\n 8263... | 2a5d54f753ddb31c5cfcea054a99313e6f06095d820906f2b3d95c241fe05f1b | 4b38e92e388341db87de412d465f6f6b246ac037303086be1f867b11f0df70e9 | 91d763247a2ecb3091d454d1311743635899ac9b01ecab724a40ab1e11144639 | 1 | [
"23078559"
] | 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?
8263 x 2793
Think step by step.
## Here is the solution
23078559
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1076,
"explanation": "This indicates that the model realizes a potential mistake in its calculations and decides to go back to verify its work.",
"idx": 0,
"span": "Wait, let me check that again.",
"start_idx": 1046
},
{
"end_idx": 1706,
"explanation": "The model is conf... | 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... | [
[
"<think>\nOkay, so I need to multiply 6316 by 1198. 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 6316 by 1198. 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... | 719704f43a2a3c59fb685504fc22f9b0fa70b5667b3ed844a261bc7361bf5aef | 43fc9aeedf287d6fb8085c9e2c95bb271d20771a7c988248155f70d368958fa3 | 5e59d8db6f48aae83fbb2f058174d4855a9683ba8b02042551463ba9a0750db2 | 1 | [
"7566568"
] | 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?
6316 x 1198
Think step by step.
## Here is the solution
7566568
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 139,
"explanation": "The model is setting up a sub-goal to determine its approach to solving the multiplication problem.",
"idx": 0,
"span": "Let me think about how to approach this.",
"start_idx": 99
},
{
"end_idx": 298,
"explanation": "Here the model explicitly states ... | 0 | 10 |
72 | {
"answer": "14852720",
"problem": "What is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.",
"solution": "14852720"
} | 14852720 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 4240 by 3503. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this witho... | [
"<think>\nOkay, so I need to multiply 4240 by 3503. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without get... | 397f4a09f227fa31cf1e7f0713d2abfe8774471e22cac60e47cd1714583c2962 | ffcd95257827c53e21c0602c655881f7da044ca6a9dc37545d74a40f761ae8dc | fbff615a503c9a5ea86bbd1b96852205aa2d3afd486e8089c73c0f18942fb0a5 | 1 | [
"14852720"
] | 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?
4240 x 3503
Think step by step.
## Here is the solution
14852720
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 2013,
"explanation": "The model explicitly states it will check the addition to confirm its correctness.",
"idx": 0,
"span": "Let me check that addition again to make sure.",
"start_idx": 1967
},
{
"end_idx": 2013,
"explanation": "The model reaffirms that it will verify ... | 0 | 8 |
72 | {
"answer": "14852720",
"problem": "What is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.",
"solution": "14852720"
} | 14852720 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4240 x 3503\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 4240 by 3503. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this witho... | [
"<think>\nOkay, so I need to multiply 4240 by 3503. Hmm, let's see. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. But since both numbers are pretty large, maybe there's a smarter way to do this without get... | 397f4a09f227fa31cf1e7f0713d2abfe8774471e22cac60e47cd1714583c2962 | ffcd95257827c53e21c0602c655881f7da044ca6a9dc37545d74a40f761ae8dc | fbff615a503c9a5ea86bbd1b96852205aa2d3afd486e8089c73c0f18942fb0a5 | 1 | [
"14852720"
] | 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?
4240 x 3503
Think step by step.
## Here is the solution
14852720
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 351,
"explanation": "This indicates that the model is reevaluating its approach and suggesting it might need to explore a different method.",
"idx": 0,
"span": "Maybe there's a smarter way to do this without getting lost in the steps. Let me think.",
"start_idx": 264
},
{
"e... | 0 | 5 |
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... | [
[
"<think>\nOkay, so I need to multiply 4754 by 4841. 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 4754 by 4841. 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... | 368f6a6aabd15e04b7148db31667e906fe3090e6c0488bce3e0bd1ae65853e51 | c1b4f0a7c1e3c9ea086d0b112965dddabf54afb416a65191c51731f1c81322ac | 70195460cd630b6d12ed2f23839396cb8df92a026b29b4b6faf78b2cec5efe62 | 0 | [
"<think>\nOkay, so I need to multiply 4754 by 4841. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into their place values and multiplying each part separately before adding them all up. Let me try to r... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4754 x 4841
Think step by step.
## Here is the solution
23014114
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 1770,
"explanation": "This shows that the model recognized a potential misunderstanding regarding the method of multiplying by 4, leading it to adjust its approach.",
"idx": 0,
"span": "Wait, but actually, when multiplying by the tens place, we shift one position to the left, which is e... | 0 | 6 |
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... | [
[
"<think>\nOkay, so I need to multiply 4036 by 1736. 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 4036 by 1736. 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... | b44fa6ecbfd734aa0956ba5137f56c5f0381e57397c81c2f45290007f2153cd0 | c787e7de5356aab84edf84f3f5df73b4618ea202dfb522f9b38d848e0f9d2248 | d7ba62da3442f801edee1756f2952e05a7ead6e8235b8d419f1e7ac8c059aa55 | 1 | [
"7006496"
] | 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?
4036 x 1736
Think step by step.
## Here is the solution
7006496
## Here are the current task instructions
Count h... | verification | [
{
"end_idx": 2368,
"explanation": "This snippet shows that the model is taking a moment to verify the results of its addition calculations.",
"idx": 0,
"span": "Let me check that addition again to make sure I didn't make a mistake.",
"start_idx": 2298
},
{
"end_idx": 2490,
"explanati... | 0 | 12 |
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... | [
[
"<think>\nOkay, so I need to multiply 3017 by 5664. 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 3017 by 5664. 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... | f2fdc1d5ba0debd52faf6e3e7f5f33aa8c17522bb8532070354cb79877f44da5 | 5828c53cf39b65d37a8fba26ba60404bf3d5c7187d0ce5d5c2db799fdf1088ae | aac36e65554b79d7639931d148cfd4b60c3b1baa0754c87cb1f67b2934a8cba5 | 1 | [
"17088288"
] | 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?
3017 x 5664
Think step by step.
## Here is the solution
17088288
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 336,
"explanation": "This indicates the model is setting the sub-goal of recalling the steps needed for long multiplication.",
"idx": 0,
"span": "Let me try to recall the exact steps.",
"start_idx": 299
},
{
"end_idx": 444,
"explanation": "The model sets a sub-goal to wr... | 0 | 18 |
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... | [
[
"<think>\nOkay, so I need to multiply 6031 by 5616. 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 6031 by 5616. 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... | a82c566ededfb8c0d8668342bb1de24d984efe944da0f2031a93e7af6086d7e8 | 2ced61a220581d2995b090f0bcb5eb43c1e1ae1746cd5afe11b514bb5e704796 | a0a16c7944aaf6db5faf120f028e24bed24c21de4a544c4cd350d519c9d49aac | 1 | [
"33870096"
] | 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?
6031 x 5616
Think step by step.
## Here is the solution
33870096
## Here are the current task instructions
Count ... | verification | [
{
"end_idx": 1625,
"explanation": "This indicates the model is rechecking its previous calculation.",
"idx": 0,
"span": "Wait, let me check that again.",
"start_idx": 1595
},
{
"end_idx": 1800,
"explanation": "The model confirms that the result from its prior calculation is accurate.... | 0 | 26 |
70 | {
"answer": "10793616",
"problem": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"solution": "10793616"
} | 10793616 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces... | [
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | 15cdc11d5d1afa4b464374e7f8c43f95af2fb3add173ea0b152eeeb444cdf494 | 48d7f97da0a36ef0b00176a94148e23b1fc091218ca5f19d2d3c86f78bc0e976 | f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9 | 0 | [
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it used backtracking as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2616 x 4126
Think step by step.
## Here is the solution
10793616
## Here are the current task instructions
Count how m... | backtracking | [
{
"end_idx": 875,
"explanation": "This indicates that the model is changing its approach to the problem after considering alternatives.",
"idx": 0,
"span": "Let me try that method because it might be more systematic.",
"start_idx": 816
},
{
"end_idx": 2484,
"explanation": "This shows... | 0 | 3 |
70 | {
"answer": "10793616",
"problem": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.",
"solution": "10793616"
} | 10793616 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2616 x 4126\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact proces... | [
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | 15cdc11d5d1afa4b464374e7f8c43f95af2fb3add173ea0b152eeeb444cdf494 | 48d7f97da0a36ef0b00176a94148e23b1fc091218ca5f19d2d3c86f78bc0e976 | f5b3de405e2c0774f7627f16b7ade7e456e2a667cdf71be5a9a17383323a04e9 | 0 | [
"<think>\nOkay, so I need to multiply 2616 by 4126. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2616 x 4126
Think step by step.
## Here is the solution
10793616
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 310,
"explanation": "The model hints at recalling the steps necessary for long multiplication, indicating it is organizing its approach.",
"idx": 0,
"span": "Let me try to recall the exact process.",
"start_idx": 271
},
{
"end_idx": 392,
"explanation": "The use of 'First... | 0 | 6 |
50 | {
"answer": "3356274",
"problem": "What is the solution to the long multiplication equation below?\n\n2994 x 1121\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2994 x 1121\n\nThink step by step.",
"solution": "3356274"
} | 3356274 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2994 x 1121\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"<think>\nOkay, so I need to multiply 2994 by 1121. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to recal... | [
"<think>\nOkay, so I need to multiply 2994 by 1121. Hmm, that's a pretty big multiplication. Let me think about how to approach this. I remember that long multiplication involves breaking down the numbers into smaller parts, multiplying each part separately, and then adding up the results. Let me try to recall the ... | e7ba8ded213ef0b5f739b1aef119bee7ba1dd1bfda4865afa2fc4c9fe67db2ed | f72ad4193adbf0e3645dbd9356bac06a7c24c346d3bfaec7a00e93bee8e3812a | ffabdf448694b3fb5e403a1531417e046b2564e9bd3c2beef4301021ba197b01 | 1 | [
"3356274"
] | 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?
2994 x 1121
Think step by step.
## Here is the solution
3356274
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 606,
"explanation": "The model identifies a potential error in its reasoning about the alignment of the numbers and reconsiders its approach.",
"idx": 0,
"span": "But wait, actually, in long multiplication, the number with more digits is usually on top, but both numbers here have four d... | 0 | 4 |
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... | [
[
"<think>\nOkay, so I need to multiply 4133 by 2123. 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 try to recall the steps properly.\n\nFirst,... | [
"<think>\nOkay, so I need to multiply 4133 by 2123. 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 try to recall the steps properly.\n\nFirst, I sho... | fa5168f9f58ecce7f5cba4a002f013f83876325d1a3198e9fafb36f691b0b0b1 | e258a17e62732bb5cc4db6897fd95e1ab83eba0a2aa2b73194709f721a12a42b | 1236d3aa175712b479162a6753f65557bca804b266abc59d422be0eabf41738a | 1 | [
"8774359"
] | 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?
4133 x 2123
Think step by step.
## Here is the solution
8774359
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 1297,
"explanation": "This indicates that the model recognized an error in its previous reasoning and decided to change its approach.",
"idx": 0,
"span": "Wait, but when multiplying, each digit's place value needs to be considered. Let me do it properly:",
"start_idx": 1198
},
{... | 0 | 7 |
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... | [
[
"<think>\nOkay, so I need to multiply 1791 by 4452. 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 1791 by 4452. 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... | c77f6edf353d39a8ca42fde3da14f3bdd71df18815a0ca892e4473f2fab5e2b4 | 2c903c628137f50088bb3c2b9e539ce9dc0dc79de945bfc9846ee312d36939fd | d6d7f29613fd4431a5e7218c59c2890c92f7196483eec4e2e540c6a36394a7bc | 1 | [
"7973532"
] | 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?
1791 x 4452
Think step by step.
## Here is the solution
7973532
## Here are the current task instructions
Count how ma... | backtracking | [
{
"end_idx": 3945,
"explanation": "This statement indicates that the model is reconsidering its previous work after identifying a potential error, suggesting a need to backtrack and reassess.",
"idx": 0,
"span": "Wait, let me check that again. Maybe I made a mistake in the addition steps.",
"sta... | 0 | 10 |
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... | [
[
"<think>\nOkay, so I need to multiply 8628 by 5812. 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 8628 by 5812. 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... | 06680cf836c53900971cfe5dfd9475ebbc2d7840ba3acefa9bc8b102d557d262 | a51170459351065df290f2dfe6806512aae433255fdba108231218113a0b6d45 | 1e2e41162ceb6b3902e7abafb2aacd5b855ff27196f45186486cb8f347bb635c | 0 | [
"<think>\nOkay, so I need to multiply 8628 by 5812. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this step by step. I remember that long multiplication involves breaking down the numbers by place value and then adding up the results. Let me try to recall the exact process.\n\n... | TAUR-dev/evals__distilled_r1__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it 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": 310,
"explanation": "The model is setting a sub-goal to recall the specific process needed for long multiplication.",
"idx": 0,
"span": "Let me try to recall the exact process.",
"start_idx": 271
},
{
"end_idx": 392,
"explanation": "The model identifies a sub-goal of cor... | 0 | 6 |
31 | {
"answer": "31522905",
"problem": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.",
"solution": "31522905"
} | 31522905 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 3585 by 8793 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 3585\n x 8793\n ```\n\n2. **Multiply each digit of the bottom number (8793) by the top nu... | [
"To solve the multiplication of 3585 by 8793 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 3585\n x 8793\n ```\n\n2. **Multiply each digit of the bottom number (8793) by the top number (... | 14b7d25b37286f8f2f243217b6b1a60891900dfb2cb28fb80e85edb0dfa8c49b | b94a270f22e2ff8649f25e55d790139588e07a05591cdf9ea67690e3116bf28e | fad0281e18f667216c7e657cfea2c540f1687bd27a739e16a05293b4bcfa5d11 | 0 | [
"To solve the multiplication of 3585 by 8793 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 3585\n x 8793\n ```\n\n2. **Multiply each digit of the bottom number (8793) by the top number (... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3585 x 8793
Think step by step.
## Here is the solution
31522905
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 134,
"explanation": "This snippet indicates the creation of a sub-goal where the task of multiplication is broken down into simpler parts.",
"idx": 0,
"span": "break it down into simpler parts using the long multiplication method",
"start_idx": 65
},
{
"end_idx": 312,
"e... | 0 | 7 |
28 | {
"answer": "14041975",
"problem": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.",
"solution": "14041975"
} | 14041975 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2225 x 6311\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 2225 by 6311 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2225\n x 6311\n ```\n\n2. **Multiply 2225 by each digit of 6311, starting from the rightmo... | [
"To solve the multiplication of 2225 by 6311 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2225\n x 6311\n ```\n\n2. **Multiply 2225 by each digit of 6311, starting from the rightmost dig... | 89bf514387acb1b1d98e994a546a785a560ea2be66aa4370a05bcfbf7faf9225 | 3d45345d3847937572145683203af6bc9de8fc62e4fa842a3ecd43483915ceb1 | e3f88490daba280d420ae84d21d421f83acd7dbdd4d62d6e0be5ddd2bc8696c8 | 0 | [
"To solve the multiplication of 2225 by 6311 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2225\n x 6311\n ```\n\n2. **Multiply 2225 by each digit of 6311, starting from the rightmost dig... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2225 x 6311
Think step by step.
## Here is the solution
14041975
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This phrase indicates that the model is creating a sub-goal to simplify the multiplication process.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 309,
"explanation... | 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... | [
[
"To solve the multiplication of 5570 by 4628 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 5570\n x 4628\n ```\n\n2. **Multiply each digit of the bottom number (4628) by the top nu... | [
"To solve the multiplication of 5570 by 4628 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 5570\n x 4628\n ```\n\n2. **Multiply each digit of the bottom number (4628) by the top number (... | bcfb316e9add593ca6449c49149a609d78fc052577e2e5581e91ba68fa47e7ec | 78a9dbdfbe95593217b3bfb35146af68b4837aa6c4966f5a92ff22293da646ec | d16d02ae6c305a0ffe52ec7b7d3290280c3916f498438a939202e4013ffaecfc | 0 | [
"To solve the multiplication of 5570 by 4628 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 5570\n x 4628\n ```\n\n2. **Multiply each digit of the bottom number (4628) by the top number (... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5570 x 4628
Think step by step.
## Here is the solution
25777960
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This indicates the model's intention to divide the multiplication process into simpler components, setting a sub-goal of simplifying the overall task.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx... | 0 | 5 |
97 | {
"answer": "21585825",
"problem": "What is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.",
"solution": "21585825"
} | 21585825 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 5085 by 4245 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 5085\n x 4245\n ________\n```\n\n2. **Multiply 5085 by each digit of 4245, starting from the r... | [
"To solve the multiplication of 5085 by 4245 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 5085\n x 4245\n ________\n```\n\n2. **Multiply 5085 by each digit of 4245, starting from the rightmo... | d7e732b48173ff5714ec0d31805037ade0dff93ad6014768ec8596414cba9513 | 4a82a7eb9f445c64cccfa085b6908f2ed10d79882f974f7ee9e20b4a1e904514 | 4329490bbf93890682c108388448692bea2354f8b7cb5c168dc9975130e11f51 | 0 | [
"To solve the multiplication of 5085 by 4245 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 5085\n x 4245\n ________\n```\n\n2. **Multiply 5085 by each digit of 4245, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5085 x 4245
Think step by step.
## Here is the solution
21585825
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This statement indicates the intention to decompose the problem into manageable segments, setting a sub-goal for simplification.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"en... | 0 | 6 |
27 | {
"answer": "17864665",
"problem": "What is the solution to the long multiplication equation below?\n\n5135 x 3479\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5135 x 3479\n\nThink step by step.",
"solution": "17864665"
} | 17864665 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5135 x 3479\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 5135 by 3479 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5135\n x 3479\n ```\n\n2. **Multiply each digit of the bottom number (3479) by the top number (5135)**, starting from the rig... | [
"To solve the multiplication of 5135 by 3479 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5135\n x 3479\n ```\n\n2. **Multiply each digit of the bottom number (3479) by the top number (5135)**, starting from the rightmost... | 0336f8ce28831a058a5798f6766bfa4a114ef1319ef59f26ae4cf95ae5955ecf | 04fe1a29876ba15b6ccf526f5bae6d9d4eab36edc53fab33ceb9196f9b2fd10b | 6dc5a61e830709e5086762e564f3546f80ec9031ea8580ddbddb7f73328dd7d8 | 0 | [
"To solve the multiplication of 5135 by 3479 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5135\n x 3479\n ```\n\n2. **Multiply each digit of the bottom number (3479) by the top number (5135)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5135 x 3479
Think step by step.
## Here is the solution
17864665
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 314,
"explanation": "This indicates the model is breaking down the overall multiplication into smaller steps, specifically instructing itself to handle each digit of the second multiplicand one at a time.",
"idx": 0,
"span": "Multiply each digit of the bottom number (3479) by the top nu... | 0 | 6 |
57 | {
"answer": "17263554",
"problem": "What is the solution to the long multiplication equation below?\n\n3311 x 5214\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3311 x 5214\n\nThink step by step.",
"solution": "17263554"
} | 17263554 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3311 x 5214\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 3311 by 5214 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3311\n x 5214\n ________\n```\n\n2. **Multiply 3311 by each digit of 5214, starting from the r... | [
"To solve the multiplication of 3311 by 5214 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3311\n x 5214\n ________\n```\n\n2. **Multiply 3311 by each digit of 5214, starting from the rightmo... | 6d7864f3585c016284622d378823cb2e5411b585199c804d6cabd95555e2daf1 | 8cb6afcb9ac83c004a43906bd619164a60827b6a1f67133ebc2f38e84db92ef2 | 5692a05a45629d81f9b644e78f44bd720ea1a8e540c340b35031865f939b1049 | 0 | [
"To solve the multiplication of 3311 by 5214 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3311\n x 5214\n ________\n```\n\n2. **Multiply 3311 by each digit of 5214, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3311 x 5214
Think step by step.
## Here is the solution
17263554
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 134,
"explanation": "This shows the intention to create sub-goals by indicating the process will be simplified.",
"idx": 0,
"span": "break it down into simpler parts using the long multiplication method",
"start_idx": 65
},
{
"end_idx": 314,
"explanation": "This defines ... | 0 | 6 |
95 | {
"answer": "18951400",
"problem": "What is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.",
"solution": "18951400"
} | 18951400 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3848 x 4925\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 3848 by 4925 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3848\n x 4925\n ________\n```\n\n2. **Multiply 3848 by each digit of 4925, starting from the r... | [
"To solve the multiplication of 3848 by 4925 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3848\n x 4925\n ________\n```\n\n2. **Multiply 3848 by each digit of 4925, starting from the rightmo... | f84100cb6e26ff386de07fa5541984f5ffe619fd2b09f7e0b4f0bc4f3a0d207e | f187aa52c2ddab6f8d658c6f01189ae82f323aeec8a014ebd51a88a4578ec558 | 877f6fcbea6f1f02b6be6da4ef7a06ee99afa21123786d75a72ababcd35a7fc4 | 0 | [
"To solve the multiplication of 3848 by 4925 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 3848\n x 4925\n ________\n```\n\n2. **Multiply 3848 by each digit of 4925, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3848 x 4925
Think step by step.
## Here is the solution
18951400
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This indicates the intention to break down the problem into smaller parts, establishing a plan to solve it.",
"idx": 0,
"span": "To solve the multiplication of 3848 by 4925 step by step, we can break it down into simpler parts using the long multiplication method.",... | 0 | 8 |
24 | {
"answer": "47262788",
"problem": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.",
"solution": "47262788"
} | 47262788 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 8012 by 5899 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 8012\n x 5899\n ```\n\n2. **Multiply 8012 by each digit of 5899, starting from the rightm... | [
"To solve the multiplication of 8012 by 5899 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 8012\n x 5899\n ```\n\n2. **Multiply 8012 by each digit of 5899, starting from the rightmost di... | 86b806571fd1dcb8e7211e9415bcaa518fcd7be4a3ac4b86965395db0b8c5a11 | f7497f8512820adbc188c5d10e9c389bad3efb43b08243314d02a4102d7436e1 | 826362f36d586308dfe0409a105da0deb863df3a679364cc6ff3b6962830f81c | 0 | [
"To solve the multiplication of 8012 by 5899 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 8012\n x 5899\n ```\n\n2. **Multiply 8012 by each digit of 5899, starting from the rightmost di... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8012 x 5899
Think step by step.
## Here is the solution
47262788
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This shows the model is setting a sub-goal to decompose the multiplication task into simpler steps.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 310,
"explanation... | 0 | 5 |
22 | {
"answer": "38217452",
"problem": "What is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.",
"solution": "38217452"
} | 38217452 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7924 x 4823\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 7924 by 4823 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7924\n x 4823\n ```\n\n2. **Multiply each digit of the bottom number (4823) by the top number (7924)**, starting from the rig... | [
"To solve the multiplication of 7924 by 4823 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7924\n x 4823\n ```\n\n2. **Multiply each digit of the bottom number (4823) by the top number (7924)**, starting from the rightmost... | 2dafa663e915dad11dbbd24f4056e4daf7677826398a22dd60b765a9a4376cd4 | d9fe5d10c14aaa6aa282cbfc04c5788c50bbff565dc5fa4fb65bbfb6939fc36d | bc7e133737810d899fdd7fe3dc50e1d23c2e0d51aacd1057d22fa2d1f6eb6686 | 0 | [
"To solve the multiplication of 7924 by 4823 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 7924\n x 4823\n ```\n\n2. **Multiply each digit of the bottom number (4823) by the top number (7924)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
7924 x 4823
Think step by step.
## Here is the solution
38217452
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 100,
"explanation": "This snippet indicates the model's intention to break down the multiplication problem into smaller steps, setting the first sub-goal of using a method.",
"idx": 0,
"span": "To solve the multiplication of 7924 by 4823 step by step, we can use the long multiplication ... | 0 | 6 |
23 | {
"answer": "23698528",
"problem": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.",
"solution": "23698528"
} | 23698528 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5264 x 4502\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 5264 by 4502 using long multiplication, we can break it down step by step.\n\n### Step 1: Write the numbers vertically\n```\n 5264\n x 4502\n ________\n```\n\n### Step 2: Multiply 5264 by each digit of 4502, starting from the rightmost digit\n\n#### Multiply by 2 (the... | [
"To solve the multiplication of 5264 by 4502 using long multiplication, we can break it down step by step.\n\n### Step 1: Write the numbers vertically\n```\n 5264\n x 4502\n ________\n```\n\n### Step 2: Multiply 5264 by each digit of 4502, starting from the rightmost digit\n\n#### Multiply by 2 (the right... | 467efaefcd2a6254a48dba49c96348a16741d2a29cf26f9fc9ebd5ef7119ef38 | d4380623017316755389cf282ea99f42c9ca3d79503de14cda36296643bdb7f3 | 9acf84ffc74ac729ed3a04cb797425abad757abe309f5ea3cc994b6eb67415bf | 0 | [
"To solve the multiplication of 5264 by 4502 using long multiplication, we can break it down step by step.\n\n### Step 1: Write the numbers vertically\n```\n 5264\n x 4502\n ________\n```\n\n### Step 2: Multiply 5264 by each digit of 4502, starting from the rightmost digit\n\n#### Multiply by 2 (the right... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5264 x 4502
Think step by step.
## Here is the solution
23698528
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 105,
"explanation": "This indicates an intention to segment the problem into smaller, manageable parts.",
"idx": 0,
"span": "we can break it down step by step.",
"start_idx": 71
},
{
"end_idx": 147,
"explanation": "Setting the process to start by organizing the numbers i... | 0 | 6 |
52 | {
"answer": "10700193",
"problem": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.",
"solution": "10700193"
} | 10700193 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8353 x 1281\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 8353 by 1281 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8353\n x 1281\n ```\n\n2. **Multiply 8353 by each digit of 1281, starting from the rightmost digit**:\n\n - **Multiply by ... | [
"To solve the multiplication of 8353 by 1281 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8353\n x 1281\n ```\n\n2. **Multiply 8353 by each digit of 1281, starting from the rightmost digit**:\n\n - **Multiply by 1 (the... | fc0ec46fe96c64e623331aa74a185fc8812209e1c7a801b0389a150ec142ae52 | b800e26ec7b9d1399b91617bf33592657e2751990361eccddfb11c80bf376b40 | 32ba40a01065ff199d363f792cfe3e19a772b4b7ed01667d2747a648f59aeace | 0 | [
"To solve the multiplication of 8353 by 1281 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8353\n x 1281\n ```\n\n2. **Multiply 8353 by each digit of 1281, starting from the rightmost digit**:\n\n - **Multiply by 1 (the... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8353 x 1281
Think step by step.
## Here is the solution
10700193
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 275,
"explanation": "This indicates the model is breaking down the main problem of multiplication into smaller tasks by specifying that it will multiply each digit of 1281 with 8353.",
"idx": 0,
"span": "Multiply 8353 by each digit of 1281, starting from the rightmost digit",
"start... | 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 multiplication of 5808 by 6087 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5808\n x 6087\n ```\n\n2. **Multiply each digit of the bottom number (6087) by the top number (5808)**, starting from the rig... | [
"To solve the multiplication of 5808 by 6087 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5808\n x 6087\n ```\n\n2. **Multiply each digit of the bottom number (6087) by the top number (5808)**, starting from the rightmost... | a5ca9f56bc05f63d0fd55839c3ab340481dad3e0aba1bd147b2e43259a14369d | 8321673f0ead2c06fff25e116fb8d20b34d1fe07f299b49bb1dda223c6e27c4a | 74503802c5cc5bd78384b622bbdcff0b800e42d98db04ad924cc7e074f94c9a5 | 0 | [
"To solve the multiplication of 5808 by 6087 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 5808\n x 6087\n ```\n\n2. **Multiply each digit of the bottom number (6087) by the top number (5808)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5808 x 6087
Think step by step.
## Here is the solution
35353296
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 369,
"explanation": "This indicates a sub-goal of multiplying by the current digit, breaking down the overall multiplication process.",
"idx": 0,
"span": "Multiply by 7 (the rightmost digit of 6087):",
"start_idx": 323
},
{
"end_idx": 544,
"explanation": "This is another... | 0 | 4 |
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 multiplication of 8417 by 8487 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 8417\n x 8487\n ________\n```\n\n2. **Multiply the bottom number by each digit of the top number, starting from the rightmost digi... | [
"To solve the multiplication of 8417 by 8487 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 8417\n x 8487\n ________\n```\n\n2. **Multiply the bottom number by each digit of the top number, starting from the rightmost digit**:\n... | 16a78d897666d8ea7ef806dbbbf86778904adace7a14eec06193bdf660538b68 | c7cdb6c8822e3a17922d8b74b8f46b2e91a2509023ccc40ba238630cbcaf9905 | 379d8437de84bc4bac86d9a32169819b210a543ed26ec50716aa52ed713fabf9 | 0 | [
"To solve the multiplication of 8417 by 8487 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n```\n 8417\n x 8487\n ________\n```\n\n2. **Multiply the bottom number by each digit of the top number, starting from the rightmost digit**:\n... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8417 x 8487
Think step by step.
## Here is the solution
71435079
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 301,
"explanation": "This snippet sets the goal of breaking down the multiplication process by indicating that each digit of the top number will be multiplied individually.",
"idx": 0,
"span": "Multiply the bottom number by each digit of the top number, starting from the rightmost digit... | 0 | 5 |
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 multiplication of 6458 by 5634 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6458\n x 5634\n ```\n\n2. **Multiply each digit of the bottom number (5634) by the top number (6458)**, starting from the rig... | [
"To solve the multiplication of 6458 by 5634 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6458\n x 5634\n ```\n\n2. **Multiply each digit of the bottom number (5634) by the top number (6458)**, starting from the rightmost... | 80ef65a3c46bf5bd1c9cef6eedca4a2c368fc10c4fe2aafc28e9bc9ebb143b9b | 4aaef359f829cc0cd66d72386dc5b9bcd6c525a4f4c1d9f0b226c7526f164ccc | 859ca0b2f0e793041c37c8522e6672bd8cfffae3209f13a26c884a7e47e6fa49 | 0 | [
"To solve the multiplication of 6458 by 5634 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 6458\n x 5634\n ```\n\n2. **Multiply each digit of the bottom number (5634) by the top number (6458)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6458 x 5634
Think step by step.
## Here is the solution
36384372
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": null,
"explanation": "The use of 'First, I'll try' indicates setting a sub-goal to tackle the multiplication with the first digit.",
"idx": 0,
"span": "First, I'll try to multiply by 4 (the rightmost digit of 5634):",
"start_idx": null
},
{
"end_idx": null,
"explanation"... | 0 | 10 |
83 | {
"answer": "43486080",
"problem": "What is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.",
"solution": "43486080"
} | 43486080 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6960 x 6248\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 6960 by 6248 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6960\n x 6248\n ```\n\n2. **Multiply each digit of the bottom number (6248) by the top nu... | [
"To solve the multiplication of 6960 by 6248 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6960\n x 6248\n ```\n\n2. **Multiply each digit of the bottom number (6248) by the top number (... | a7a7015c27a5067b52a18e4897f8c3fd98e1cec3982670a3c67f1ad26e8adfdb | 664cf68f804a4982b04c02d04afc9d97b00ebab63938714ba2f3fc668ab5d5ca | 24984b8feccae18537d2780beb3f3e448662df5de9e356dbe300ba27dd46075f | 0 | [
"To solve the multiplication of 6960 by 6248 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n ```\n 6960\n x 6248\n ```\n\n2. **Multiply each digit of the bottom number (6248) by the top number (... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6960 x 6248
Think step by step.
## Here is the solution
43486080
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This indicates an intention to simplify the problem into manageable steps, which is a clear creation of a sub-goal.",
"idx": 0,
"span": "break it down into simpler parts using the long multiplication method.",
"start_idx": 65
},
{
"end_idx": 350,
"ex... | 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 multiplication of 2255 by 4532 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2255\n x 4532\n ```\n\n2. **Multiply each digit of the bottom number (4532) by the top num... | [
"To solve the multiplication of 2255 by 4532 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2255\n x 4532\n ```\n\n2. **Multiply each digit of the bottom number (4532) by the top number (2... | 42baba1dae56fdb6336245c8d8efd707c54957604c1381ab74ac060963e20ea1 | 947a07a2b60255841dbb28c6edd76e3fad187122379a55c4f65324cdc27abb5c | e3bfd31a14f74c0d6f247819191cae9de647edd18165480f5ed8f2abf09d79e8 | 0 | [
"To solve the multiplication of 2255 by 4532 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 2255\n x 4532\n ```\n\n2. **Multiply each digit of the bottom number (4532) by the top number (2... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2255 x 4532
Think step by step.
## Here is the solution
10219660
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This indicates that the model is setting a sub-goal of breaking down the overall multiplication into simpler parts.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 349,
... | 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 multiplication of 6031 by 5616 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 6031\n x 5616\n ________\n```\n\n2. **Multiply 6031 by each digit of 5616, starting from the r... | [
"To solve the multiplication of 6031 by 5616 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 6031\n x 5616\n ________\n```\n\n2. **Multiply 6031 by each digit of 5616, starting from the rightmo... | a82c566ededfb8c0d8668342bb1de24d984efe944da0f2031a93e7af6086d7e8 | 2ced61a220581d2995b090f0bcb5eb43c1e1ae1746cd5afe11b514bb5e704796 | a0a16c7944aaf6db5faf120f028e24bed24c21de4a544c4cd350d519c9d49aac | 0 | [
"To solve the multiplication of 6031 by 5616 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 6031\n x 5616\n ________\n```\n\n2. **Multiply 6031 by each digit of 5616, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6031 x 5616
Think step by step.
## Here is the solution
33870096
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 135,
"explanation": "This indicates the intent to create sub-goals by breaking the problem down into manageable parts.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method.",
"start_idx": 58
},
{
"end_idx": 369,
"explanation":... | 0 | 6 |
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 multiplication of 8258 by 3647 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8258\n x 3647\n ```\n\n2. **Multiply each digit of the bottom number (3647) by the top number (8258)**, starting from the rig... | [
"To solve the multiplication of 8258 by 3647 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8258\n x 3647\n ```\n\n2. **Multiply each digit of the bottom number (3647) by the top number (8258)**, starting from the rightmost... | 996ec95ca3ac9d373af27e4ac12d0e635dd0e9f8b9132aa09180c7701587e4ec | e1f5c6e24e487370b5bed2d02caa5202fe9caeaf112031d2110ef2e5f94af3cf | 4b6fefe27e4b8c25759e4f38156fde360e248937600bc0f2e45524fdd9b79d39 | 0 | [
"To solve the multiplication of 8258 by 3647 step by step, we can use the long multiplication method. Here’s how it works:\n\n1. **Write the numbers vertically**:\n ```\n 8258\n x 3647\n ```\n\n2. **Multiply each digit of the bottom number (3647) by the top number (8258)**, starting from the rightmost... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8258 x 3647
Think step by step.
## Here is the solution
30116926
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 314,
"explanation": "This indicates that the model is breaking down the multiplication process into manageable steps.",
"idx": 0,
"span": "Multiply each digit of the bottom number (3647) by the top number (8258), starting from the rightmost digit:",
"start_idx": 204
},
{
"en... | 0 | 5 |
91 | {
"answer": "7973532",
"problem": "What is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.",
"solution": "7973532"
} | 7973532 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1791 x 4452\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 1791 by 4452 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 1791\n x 4452\n ________\n```\n\n2. **Multiply 1791 by each digit of 4452, starting from the r... | [
"To solve the multiplication of 1791 by 4452 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 1791\n x 4452\n ________\n```\n\n2. **Multiply 1791 by each digit of 4452, starting from the rightmo... | c77f6edf353d39a8ca42fde3da14f3bdd71df18815a0ca892e4473f2fab5e2b4 | 2c903c628137f50088bb3c2b9e539ce9dc0dc79de945bfc9846ee312d36939fd | d6d7f29613fd4431a5e7218c59c2890c92f7196483eec4e2e540c6a36394a7bc | 0 | [
"To solve the multiplication of 1791 by 4452 step by step, we can break it down into simpler parts using the long multiplication method. Here’s how it’s done:\n\n1. **Write the numbers vertically**:\n```\n 1791\n x 4452\n ________\n```\n\n2. **Multiply 1791 by each digit of 4452, starting from the rightmo... | TAUR-dev/evals__distilled_gpt4omini__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1791 x 4452
Think step by step.
## Here is the solution
7973532
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 134,
"explanation": "This statement sets a sub-goal of breaking down the multiplication problem into simpler parts to facilitate solving it.",
"idx": 0,
"span": "we can break it down into simpler parts using the long multiplication method",
"start_idx": 58
},
{
"end_idx": 31... | 0 | 7 |
81 | {
"answer": "25006175",
"problem": "What is the solution to the long multiplication equation below?\n\n6371 x 3925\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6371 x 3925\n\nThink step by step.",
"solution": "25006175"
} | 25006175 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6371 x 3925\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 6371 by 3925 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6371\n x 3925\n ________\n```\n\n2. **Multiply 6371 by each digit of 3925, starting from the ri... | [
"To solve the multiplication of 6371 by 3925 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6371\n x 3925\n ________\n```\n\n2. **Multiply 6371 by each digit of 3925, starting from the rightmos... | f6755d42a963559aee55bec78a3a7639815f39209be434281a07b50c0f871e6c | 1a365e3fa99dc1845f24501b273a116e82dbbc04889abceafd0d0da34053b5b4 | 84301854687cf651508c24cd0279650fe211b78bb04a390c7e28222a0dc5a2f5 | 0 | [
"To solve the multiplication of 6371 by 3925 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6371\n x 3925\n ________\n```\n\n2. **Multiply 6371 by each digit of 3925, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6371 x 3925
Think step by step.
## Here is the solution
25006175
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This indicates the intention to create sub-goals to simplify the problem.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanation": "This sets up the sub-goal of multiplying b... | 0 | 6 |
14 | {
"answer": "32035560",
"problem": "What is the solution to the long multiplication equation below?\n\n7170 x 4468\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7170 x 4468\n\nThink step by step.",
"solution": "32035560"
} | 32035560 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7170 x 4468\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 7170 by 4468 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 7170\n x 4468\n ________\n```\n\n2. **Multiply 7170 by each digit of 4468, starting from the ri... | [
"To solve the multiplication of 7170 by 4468 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 7170\n x 4468\n ________\n```\n\n2. **Multiply 7170 by each digit of 4468, starting from the rightmos... | 105349441fd899fa97f0ebdf9168ed245a30d5fcf30c7c4cdb119911efb130fb | c1e626667be5808a0fd372481fe6ee2c64e91497b2d863503a068247ea83b654 | c9f79caea0d4b141582c9ad202a50a1bdc8c3a1534a6469a1be242ce7231ca9a | 0 | [
"To solve the multiplication of 7170 by 4468 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 7170\n x 4468\n ________\n```\n\n2. **Multiply 7170 by each digit of 4468, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
7170 x 4468
Think step by step.
## Here is the solution
32035560
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This indicates that the model is breaking down the problem into smaller steps to facilitate understanding and execution.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanatio... | 0 | 4 |
31 | {
"answer": "31522905",
"problem": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.",
"solution": "31522905"
} | 31522905 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3585 x 8793\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(3585 \\times 8793\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Multiply by Each Digit of the Second Number\n\n1. **Multiply 3585 by 3 (the units digit of 8793):**\n\n \\[\n \\begin{a... | [
"To solve the multiplication problem \\(3585 \\times 8793\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Multiply by Each Digit of the Second Number\n\n1. **Multiply 3585 by 3 (the units digit of 8793):**\n\n \\[\n \\begin{array}{... | 14b7d25b37286f8f2f243217b6b1a60891900dfb2cb28fb80e85edb0dfa8c49b | b94a270f22e2ff8649f25e55d790139588e07a05591cdf9ea67690e3116bf28e | fad0281e18f667216c7e657cfea2c540f1687bd27a739e16a05293b4bcfa5d11 | 0 | [
"To solve the multiplication problem \\(3585 \\times 8793\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Multiply by Each Digit of the Second Number\n\n1. **Multiply 3585 by 3 (the units digit of 8793):**\n\n \\[\n \\begin{array}{... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
3585 x 8793
Think step by step.
## Here is the solution
31522905
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This sets a sub-goal of organizing the work into manageable parts.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 224,
"explanation": "This indicates a stepwise approach, breaking the ... | 0 | 6 |
17 | {
"answer": "24957688",
"problem": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.",
"solution": "24957688"
} | 24957688 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9772 x 2554\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 9772 by 2554 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9772\n x 2554\n ________\n```\n\n2. **Multiply 9772 by each digit of 2554, starting from the ri... | [
"To solve the multiplication of 9772 by 2554 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9772\n x 2554\n ________\n```\n\n2. **Multiply 9772 by each digit of 2554, starting from the rightmos... | 8db812af311e804926677f80292c96211a3ec2ed4aea8eaeadf8c4171f904e60 | 6d4506d6b3fb1355af61dfa1b3a3e51bf01345b8f7808128943bcb96c1c3af1a | 96b801b79e8eef3a0b9f114d2317019b89f84d47e1cb383f8671f60da27c97c3 | 0 | [
"To solve the multiplication of 9772 by 2554 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9772\n x 2554\n ________\n```\n\n2. **Multiply 9772 by each digit of 2554, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9772 x 2554
Think step by step.
## Here is the solution
24957688
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This indicates setting a sub-goal of breaking down the problem into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanation": "This sets a sub-goal to perform m... | 0 | 7 |
13 | {
"answer": "60429072",
"problem": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.",
"solution": "60429072"
} | 60429072 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9264 x 6523\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 9264 by 6523 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9264\n x 6523\n --------\n```\n\n2. **Multiply 9264 by each digit of 6523, starting from the ri... | [
"To solve the multiplication of 9264 by 6523 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9264\n x 6523\n --------\n```\n\n2. **Multiply 9264 by each digit of 6523, starting from the rightmos... | 9bbf91846dbe9e7fb0e141b954c8b1d5a5bb8b9120a8cc0c8407ba79ad734601 | 3bef97aec73d02be0a094b71d548bc90d8dae67dd9c55ff0d61f59459bd74553 | 8013e3638abd91ca60da26f7230d3ae9d21f58148853d8689c73a8d5bb98569b | 0 | [
"To solve the multiplication of 9264 by 6523 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 9264\n x 6523\n --------\n```\n\n2. **Multiply 9264 by each digit of 6523, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9264 x 6523
Think step by step.
## Here is the solution
60429072
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This indicates the intention to create sub-goals by clearly stating a plan to simplify the problem.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanation": "This sets the su... | 0 | 7 |
4 | {
"answer": "8882562",
"problem": "What is the solution to the long multiplication equation below?\n\n6838 x 1299\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6838 x 1299\n\nThink step by step.",
"solution": "8882562"
} | 8882562 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6838 x 1299\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(6838 \\times 1299\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 6838 by each digit of 1299, starting from the rightmost digit, and then add up all t... | [
"To solve the multiplication problem \\(6838 \\times 1299\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 6838 by each digit of 1299, starting from the rightmost digit, and then add up all the res... | 12affd463da3378c6575dcbfa7412dd67ab0ecd6cfd0671e1cb584428069b831 | 98d1e45af31cde86c96be980508076b0a5389b1b2fa4e9b0b683093742a49def | 607d4b82535dda4f178b0a3d3286bcd68ac497be23fdcae580c31944f48a8303 | 0 | [
"To solve the multiplication problem \\(6838 \\times 1299\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n### Step 1: Break Down the Problem\nWe'll multiply 6838 by each digit of 1299, starting from the rightmost digit, and then add up all the res... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6838 x 1299
Think step by step.
## Here is the solution
8882562
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 140,
"explanation": "This implies a breakdown of the problem into sub-goals.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps",
"start_idx": 84
},
{
"end_idx": 203,
"explanation": "This heading indicates the creation of a sub-goal to structur... | 0 | 7 |
97 | {
"answer": "21585825",
"problem": "What is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.",
"solution": "21585825"
} | 21585825 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5085 x 4245\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(5085 \\times 4245\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 5085\n × 4245\n ```\n\n2. **Multiply the top number by each digit of the b... | [
"To solve the multiplication problem \\(5085 \\times 4245\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 5085\n × 4245\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | d7e732b48173ff5714ec0d31805037ade0dff93ad6014768ec8596414cba9513 | 4a82a7eb9f445c64cccfa085b6908f2ed10d79882f974f7ee9e20b4a1e904514 | 4329490bbf93890682c108388448692bea2354f8b7cb5c168dc9975130e11f51 | 0 | [
"To solve the multiplication problem \\(5085 \\times 4245\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 5085\n × 4245\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5085 x 4245
Think step by step.
## Here is the solution
21585825
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This snippet indicates that the model is setting a sub-goal by acknowledging the need to break the problem into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 345,
"expl... | 0 | 5 |
84 | {
"answer": "30947238",
"problem": "What is the solution to the long multiplication equation below?\n\n7182 x 4309\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n7182 x 4309\n\nThink step by step.",
"solution": "30947238"
} | 30947238 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n7182 x 4309\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(7182 \\times 4309\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 7182\n × 4309\n ```\n\n2. **Multiply 7182 by each digit of 4309, starting ... | [
"To solve the multiplication problem \\(7182 \\times 4309\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 7182\n × 4309\n ```\n\n2. **Multiply 7182 by each digit of 4309, starting from t... | d281ba14066f51d914ba924280679d5a7e0f99e36782b246d6a3bda7644b10e3 | b0d9bcd726620a61dc8c74d88f2153fb37f3dbcb6a3f2a470f5ce355953886e4 | b01ac4611f17e54f4e68129547a7f1365da1f9e19cb35698981a01c1aacc12a2 | 0 | [
"To solve the multiplication problem \\(7182 \\times 4309\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 7182\n × 4309\n ```\n\n2. **Multiply 7182 by each digit of 4309, starting from t... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
7182 x 4309
Think step by step.
## Here is the solution
30947238
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This explicitly states the intention to break the problem into smaller parts, which is a sign of creating a sub-goal.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 372,
"explanation":... | 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... | [
[
"To solve the multiplication of 6263 by 5267 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6263\n x 5267\n ________\n```\n\n2. **Multiply 6263 by each digit of 5267, starting from the ri... | [
"To solve the multiplication of 6263 by 5267 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6263\n x 5267\n ________\n```\n\n2. **Multiply 6263 by each digit of 5267, starting from the rightmos... | 44eeb7f6091056ede8c3c82e76ca5f2f050a5e967af19b208c1cac3084edf904 | 024d918ec6c46bd508a1e1b781b0282604c788936d2b734398648fa23a3e338d | 31387d881452b896688d451be74a46ea6e04769a9690cfeb49345d3592867f06 | 0 | [
"To solve the multiplication of 6263 by 5267 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6263\n x 5267\n ________\n```\n\n2. **Multiply 6263 by each digit of 5267, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6263 x 5267
Think step by step.
## Here is the solution
32987221
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This snippet indicates the model's intention to simplify the problem by dividing it into sub-goals.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanation": "This snippet set... | 0 | 5 |
25 | {
"answer": "71524759",
"problem": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.",
"solution": "71524759"
} | 71524759 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9101 x 7859\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 9101 by 7859 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n```\n 9101\n x 7859\n ________\n```\n\n2. **Multiply 9101 by each digit of 7859, starting from the rightmost digit:**\n\n - **Multi... | [
"To solve the multiplication of 9101 by 7859 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n```\n 9101\n x 7859\n ________\n```\n\n2. **Multiply 9101 by each digit of 7859, starting from the rightmost digit:**\n\n - **Multiply by... | e08b4df1e4743d436329f7038d7a8b3f017d64fc0ad8b6a3f75ef3c43e12ca75 | 71864967f1a96b4ff050ae6e0039bc2fe61e9ee70af0443e33466373525cdefe | a8ef80900a80e051981803d11514709a66956f26e1f367ce084187319ecfe469 | 0 | [
"To solve the multiplication of 9101 by 7859 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n```\n 9101\n x 7859\n ________\n```\n\n2. **Multiply 9101 by each digit of 7859, starting from the rightmost digit:**\n\n - **Multiply by... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9101 x 7859
Think step by step.
## Here is the solution
71524759
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 332,
"explanation": "This snippet indicates the model sets a sub-goal to multiply by the first digit (9) of the second number.",
"idx": 0,
"span": "Multiply by 9 (the units digit of 7859):",
"start_idx": 292
},
{
"end_idx": 476,
"explanation": "This snippet indicates the... | 0 | 5 |
43 | {
"answer": "8440497",
"problem": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.",
"solution": "8440497"
} | 8440497 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1807 x 4671\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(1807 \\times 4671\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 1807\n × 4671\n ```\n\n2. **Multiply the top number by each digit of the b... | [
"To solve the multiplication problem \\(1807 \\times 4671\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 1807\n × 4671\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | 6de761d2605b3a2028b0147438297deade10a816c5dfd2d1469147c6f0ee0d0b | 31db4eba81ffd5b079eb8ed95ed77da101c75e5970cde973a07df3fa5a249e76 | 8bb45eb75298b7f2c239ca65ddea6adaded0956fdbe6210da81f3a4319288921 | 0 | [
"To solve the multiplication problem \\(1807 \\times 4671\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 1807\n × 4671\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1807 x 4671
Think step by step.
## Here is the solution
8440497
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 141,
"explanation": "This indicates the model is setting up sub-goals by stating it will divide the task into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 409,
"explanation": "This is a cl... | 0 | 6 |
82 | {
"answer": "39408570",
"problem": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.",
"solution": "39408570"
} | 39408570 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4710 x 8367\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 4710 by 8367 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 4710\n x 8367\n ________\n```\n\n2. **Multiply 4710 by each digit of 8367, starting from the rightmost digit:**\n\n - **Multiply by 7... | [
"To solve the multiplication of 4710 by 8367 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 4710\n x 8367\n ________\n```\n\n2. **Multiply 4710 by each digit of 8367, starting from the rightmost digit:**\n\n - **Multiply by 7 (the ... | 5edacc69dd52666e061535d55e4fdcdba49af9e73df6e9fb477e989eeede285e | 3c720008cddd25942ad622f6c86d9e1d18b9e50dfc24601477a96abadac69af4 | c924f58d055a40758756c4bdc3ba590f134dc45d25fe9a93edbb3a058405fc1b | 0 | [
"To solve the multiplication of 4710 by 8367 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 4710\n x 8367\n ________\n```\n\n2. **Multiply 4710 by each digit of 8367, starting from the rightmost digit:**\n\n - **Multiply by 7 (the ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4710 x 8367
Think step by step.
## Here is the solution
39408570
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 114,
"explanation": "This snippet indicates a plan to simplify the problem, setting a clear sub-goal of delineating steps.",
"idx": 0,
"span": "we can break it down into steps as follows:",
"start_idx": 71
},
{
"end_idx": 273,
"explanation": "Here, the model sets a sub-g... | 0 | 7 |
67 | {
"answer": "82799430",
"problem": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.",
"solution": "82799430"
} | 82799430 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9870 x 8389\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 9870 by 8389 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 9870\n x 8389\n ________\n```\n\n2. **Multiply 9870 by each digit of 8389, starting from the rightmost digit:**\n\n - **Multiply by 9... | [
"To solve the multiplication of 9870 by 8389 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 9870\n x 8389\n ________\n```\n\n2. **Multiply 9870 by each digit of 8389, starting from the rightmost digit:**\n\n - **Multiply by 9 (the ... | ae9e7e6b969a499659a1bee98e8450b110a211d9dc04c5689f82cd5be3346945 | c8ad58af76f2034a08c5358f27ad3afa2746d289a4991abc17dcd7ba3bb42f49 | ce34a85ebe917cd5776ef5cc2d4ed9f1492ccccd2cf211376c114fe2d9dccc69 | 0 | [
"To solve the multiplication of 9870 by 8389 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 9870\n x 8389\n ________\n```\n\n2. **Multiply 9870 by each digit of 8389, starting from the rightmost digit:**\n\n - **Multiply by 9 (the ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9870 x 8389
Think step by step.
## Here is the solution
82799430
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 114,
"explanation": "This snippet explicitly signals the intention to break down the task into smaller steps, which is a sub-goal.",
"idx": 0,
"span": "To solve the multiplication of 9870 by 8389 using long multiplication, we can break it down into steps as follows:",
"start_idx": 0... | 0 | 5 |
5 | {
"answer": "34661674",
"problem": "What is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.",
"solution": "34661674"
} | 34661674 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4366 x 7939\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(4366 \\times 7939\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4366\n × 7939\n ```\n\n2. **Multiply the top number by each digit of the b... | [
"To solve the multiplication problem \\(4366 \\times 7939\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4366\n × 7939\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | 32eb0514336fe04ea4a806e2382b0961b7f18fd783b7087ef5a8bc13e73ca6b7 | 5f1b01505b265eb78c13648f5f4ae414d03679a259118f1da1bb3b93904a5ccc | 44b77d8f0ec2ca4140541a3648340fc3bef9d4dad405363f64fd93d907202ec5 | 0 | [
"To solve the multiplication problem \\(4366 \\times 7939\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4366\n × 7939\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4366 x 7939
Think step by step.
## Here is the solution
34661674
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This indicates the model is setting a sub-goal to simplify the problem by outlining the steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 345,
"explanation": "The instruction signi... | 0 | 7 |
24 | {
"answer": "47262788",
"problem": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.",
"solution": "47262788"
} | 47262788 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n8012 x 5899\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 8012 by 5899 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8012\n x 5899\n ________\n```\n\n2. **Multiply 8012 by each digit of 5899, starting from the ri... | [
"To solve the multiplication of 8012 by 5899 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8012\n x 5899\n ________\n```\n\n2. **Multiply 8012 by each digit of 5899, starting from the rightmos... | 86b806571fd1dcb8e7211e9415bcaa518fcd7be4a3ac4b86965395db0b8c5a11 | f7497f8512820adbc188c5d10e9c389bad3efb43b08243314d02a4102d7436e1 | 826362f36d586308dfe0409a105da0deb863df3a679364cc6ff3b6962830f81c | 0 | [
"To solve the multiplication of 8012 by 5899 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 8012\n x 5899\n ________\n```\n\n2. **Multiply 8012 by each digit of 5899, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8012 x 5899
Think step by step.
## Here is the solution
47262788
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This sets up the intention to divide the problem into smaller segments.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanation": "This indicates the sub-goal of addressing ea... | 0 | 8 |
62 | {
"answer": "2346851",
"problem": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.",
"solution": "2346851"
} | 2346851 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2171 x 1081\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(2171 \\times 1081\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 2171\n x 1081\n ```\n\n2. **Multiply 2171 by each digit of 1081, starting fro... | [
"To solve the multiplication problem \\(2171 \\times 1081\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 2171\n x 1081\n ```\n\n2. **Multiply 2171 by each digit of 1081, starting from the ... | 429fbf70a25497b4ebc13a61f790ce87311d94970ce90da01b46c57f1e646c7c | f047254650a01855da6e271a6816b1adb47319c425b95e2571feeed50acc30de | 4c00f8817c0801383bb215c04fe14606248ff7848cf4493716408c5d66d7260c | 1 | [
"2346851"
] | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2171 x 1081
Think step by step.
## Here is the solution
2346851
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 141,
"explanation": "This indicates a strategy to simplify the problem by creating an explicit sub-goal of breaking it down into steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": null,
"explanation": "... | 0 | 5 |
68 | {
"answer": "10325688",
"problem": "What is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.",
"solution": "10325688"
} | 10325688 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9508 x 1086\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(9508 \\times 1086\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 9508\n x 1086\n ```\n\n2. **Multiply 9508 by each digit of 1086, starting fro... | [
"To solve the multiplication problem \\(9508 \\times 1086\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 9508\n x 1086\n ```\n\n2. **Multiply 9508 by each digit of 1086, starting from the ... | d9405fece4886e57617e9a48525436f5f2ab9547f983433fe1714d1703ee428c | c93933147aa2be416d7c8d268756a564459c8cbc98e5bd3dfe07698b77862e88 | ff62f55a3d8f17d91ef7e4d1b656002294a2fcf66f690c376237964d7119db15 | 0 | [
"To solve the multiplication problem \\(9508 \\times 1086\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 9508\n x 1086\n ```\n\n2. **Multiply 9508 by each digit of 1086, starting from the ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9508 x 1086
Think step by step.
## Here is the solution
10325688
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 140,
"explanation": "This snippet indicates the intention to create sub-goals by breaking down the problem into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps",
"start_idx": 84
},
{
"end_idx": 319,
"explanation": "This shows ... | 0 | 6 |
16 | {
"answer": "44236416",
"problem": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.",
"solution": "44236416"
} | 44236416 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4704 x 9404\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 4704 by 9404 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n```\n 4704\n x 9404\n ________\n```\n\n2. **Multiply 4704 by each digit of 9404, starting from the rightmost digit:**\n\n - **Multi... | [
"To solve the multiplication of 4704 by 9404 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n```\n 4704\n x 9404\n ________\n```\n\n2. **Multiply 4704 by each digit of 9404, starting from the rightmost digit:**\n\n - **Multiply by... | b24a68f7e17bec4c6ff23b4137d5d7129965297562a7708c10ec84e63bb76024 | 841a1d1dce8d0f5fd3ce41f901c534ad8be02bfe57807fc707551c88d78a620b | 20b3b771613e89e037700619d5f4ed090b3a662a348b1476ba8a487f34dbe3e2 | 0 | [
"To solve the multiplication of 4704 by 9404 step by step, we can use the long multiplication method. Here's how it's done:\n\n1. **Write the numbers in columns:**\n\n```\n 4704\n x 9404\n ________\n```\n\n2. **Multiply 4704 by each digit of 9404, starting from the rightmost digit:**\n\n - **Multiply by... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4704 x 9404
Think step by step.
## Here is the solution
44236416
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 281,
"explanation": "This indicates a sub-goal of breaking down the multiplication into steps based on each individual digit of the second number.",
"idx": 0,
"span": "Multiply 4704 by each digit of 9404, starting from the rightmost digit:",
"start_idx": 210
},
{
"end_idx": ... | 0 | 5 |
51 | {
"answer": "29001510",
"problem": "What is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.",
"solution": "29001510"
} | 29001510 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6990 x 4149\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(6990 \\times 4149\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 6990\n × 4149\n ```\n\n2. **Multiply 6990 by each digit of 4149, starting ... | [
"To solve the multiplication problem \\(6990 \\times 4149\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 6990\n × 4149\n ```\n\n2. **Multiply 6990 by each digit of 4149, starting from t... | b32f9ea575f2db204a67bc5069fe8153e7400256229d32aa2bbc5b921e26fca2 | e18f378a2d10eee7636f31d55d977237c790297de1cf14cf1467fcf385b6fb59 | d787079ff7ee54366c2d20f1d3e4f3bf86cf06c3acb1f54392fc15a2447f3b48 | 0 | [
"To solve the multiplication problem \\(6990 \\times 4149\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 6990\n × 4149\n ```\n\n2. **Multiply 6990 by each digit of 4149, starting from t... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6990 x 4149
Think step by step.
## Here is the solution
29001510
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This shows that the model is creating a sub-goal by planning to break down the multiplication into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 322,
"explanation": "Th... | 0 | 6 |
2 | {
"answer": "7116252",
"problem": "What is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.",
"solution": "7116252"
} | 7116252 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n1014 x 7018\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 1014 by 7018 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1014\n x 7018\n ________\n```\n\n2. **Multiply 1014 by each digit of 7018, starting from the rightmost digit:**\n\n - **Multiply by 8... | [
"To solve the multiplication of 1014 by 7018 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1014\n x 7018\n ________\n```\n\n2. **Multiply 1014 by each digit of 7018, starting from the rightmost digit:**\n\n - **Multiply by 8 (the ... | 9ae7734e6d4e245781734e1ce6e41be6b3f1c4393303f1e5283239b0930cad5c | b83a891f234a26c097440bfcdee9f4d5833c37332c18c3d16d0b4da8b5d91a4e | 2011ce3c349cb8f96857b179dbe2fd74a33f85986f1ea124fba66d1a15b5950f | 0 | [
"To solve the multiplication of 1014 by 7018 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 1014\n x 7018\n ________\n```\n\n2. **Multiply 1014 by each digit of 7018, starting from the rightmost digit:**\n\n - **Multiply by 8 (the ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
1014 x 7018
Think step by step.
## Here is the solution
7116252
## Here are the current task instructions
Cou... | subgoals | [
{
"end_idx": 114,
"explanation": "This indicates the intention to create sub-goals by outlining the steps to follow.",
"idx": 0,
"span": "we can break it down into steps as follows:",
"start_idx": 71
},
{
"end_idx": 273,
"explanation": "This establishes a sub-goal of multiplying 1014... | 0 | 5 |
7 | {
"answer": "28848365",
"problem": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.",
"solution": "28848365"
} | 28848365 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n6461 x 4465\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 6461 by 4465 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6461\n x 4465\n ________\n```\n\n2. **Multiply 6461 by each digit of 4465, starting from the ri... | [
"To solve the multiplication of 6461 by 4465 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6461\n x 4465\n ________\n```\n\n2. **Multiply 6461 by each digit of 4465, starting from the rightmos... | ae785a65c4eb6165405f969de764ef6bb22badcf40cf0ae69d16080d3c1e7e74 | c6d203237190063b907c3d2cb0b9562e95adb1073a99abad9a892f4595b13f25 | e928c704412b55293ef9ee56d503b77616914398a779a638eb15f4a18111d888 | 0 | [
"To solve the multiplication of 6461 by 4465 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 6461\n x 4465\n ________\n```\n\n2. **Multiply 6461 by each digit of 4465, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6461 x 4465
Think step by step.
## Here is the solution
28848365
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This indicates the intention to divide the problem into sub-goals.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 313,
"explanation": "This sets a sub-goal of multiplying by each indiv... | 0 | 7 |
18 | {
"answer": "25554852",
"problem": "What is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.",
"solution": "25554852"
} | 25554852 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n5172 x 4941\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication of 5172 by 4941 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5172\n x 4941\n ________\n```\n\n2. **Multiply 5172 by the rightmost digit of 4941 (which is 1)... | [
"To solve the multiplication of 5172 by 4941 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5172\n x 4941\n ________\n```\n\n2. **Multiply 5172 by the rightmost digit of 4941 (which is 1):**\n\... | 08266520be443262cda28d8160eed1a250e9d3338a164a50c3988ed688151774 | 810aba8947dbe5add06811a867c63dad8731128fd0f7f04562d66e65a3a2cc2d | 7f2a4c45b05e109095ed733bd4e1b402765d544ce1b3d8d56dfd761fc6834c3c | 0 | [
"To solve the multiplication of 5172 by 4941 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5172\n x 4941\n ________\n```\n\n2. **Multiply 5172 by the rightmost digit of 4941 (which is 1):**\n\... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5172 x 4941
Think step by step.
## Here is the solution
25554852
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 128,
"explanation": "This indicates the intention to create sub-goals by breaking down the problem into smaller parts.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 71
},
{
"end_idx": 299,
"explanation": "This is an interme... | 0 | 8 |
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 multiplication of 5976 by 2278 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5976\n x 2278\n --------\n```\n\n2. **Multiply 5976 by each digit of 2278, starting from the ri... | [
"To solve the multiplication of 5976 by 2278 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5976\n x 2278\n --------\n```\n\n2. **Multiply 5976 by each digit of 2278, starting from the rightmos... | 874e76d8f45b5bee70b75d7538b00a389e5c1cf8fffd0118730641db5a45b4ed | 9bc45fdee765a59970bfc58c763162d3cd53499bdff21f6053bc1241b8ef4045 | 39725d027feb8b73e4536d4d391d8021664b81e2dc65438680e048302d7848a7 | 0 | [
"To solve the multiplication of 5976 by 2278 using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n```\n 5976\n x 2278\n --------\n```\n\n2. **Multiply 5976 by each digit of 2278, starting from the rightmos... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
5976 x 2278
Think step by step.
## Here is the solution
13613328
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 127,
"explanation": "This indicates the intention to create sub-goals by breaking the problem into smaller steps.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps",
"start_idx": 71
},
{
"end_idx": 312,
"explanation": "This is identifying a sp... | 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 multiplication problem \\(6347 \\times 2318\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 6347\n × 2318\n ```\n\n2. **Multiply the top number by each digit of the b... | [
"To solve the multiplication problem \\(6347 \\times 2318\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 6347\n × 2318\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | 2b96da2928d0bfed999f89cb98bf214b7cc9bc0f5ea580c3a9bf848ba8cb5571 | dcc17fe818b62794a074bbbe6272e6b3eb3e5be3ebbe125634fc7f7f39a1f98d | 9f7451f0f56fd5d27aff436097a244b85061fb03dbb8637f5d7a82298110ff5f | 0 | [
"To solve the multiplication problem \\(6347 \\times 2318\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 6347\n × 2318\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6347 x 2318
Think step by step.
## Here is the solution
14712346
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This sentence indicates that the model is explicitly dividing the task into smaller parts (sub-goals) to manage the multiplication process.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 3... | 0 | 7 |
36 | {
"answer": "18412352",
"problem": "What is the solution to the long multiplication equation below?\n\n4088 x 4504\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n4088 x 4504\n\nThink step by step.",
"solution": "18412352"
} | 18412352 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n4088 x 4504\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(4088 \\times 4504\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4088\n × 4504\n ```\n\n2. **Multiply 4088 by each digit of 4504, starting ... | [
"To solve the multiplication problem \\(4088 \\times 4504\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 4088\n × 4504\n ```\n\n2. **Multiply 4088 by each digit of 4504, starting from t... | 78ff4f09e22313c1dea16bfc5fb6a6f0e52b6a5518fe1e8f172d9d2e4c75ad8b | fd416b6f1935a2b87c20c18bf41073b10cc2e862b53d789643aa326622e86dda | 83dda1b91ef1697aa4765154b0052afc0b1f95dd80b4f9d86bcb64c39ce238b9 | 1 | [
"18412352"
] | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
4088 x 4504
Think step by step.
## Here is the solution
18412352
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This snippet indicates the intention to decompose the problem into smaller tasks, representing a sub-goal to simplify the process.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 322,
"... | 0 | 7 |
12 | {
"answer": "12750510",
"problem": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.",
"solution": "12750510"
} | 12750510 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n2346 x 5435\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(2346 \\times 5435\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 2346\n × 5435\n ```\n\n2. **Multiply the top number by each digit of the b... | [
"To solve the multiplication problem \\(2346 \\times 5435\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 2346\n × 5435\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | 9c0f756608a41e81493494e5980128ca5d5bf612d1287696b6fdbee2e7d5c843 | c398c627e82c46a7c988f7e704210279300a4dcd8b5a17b1fd08f0e975d5143a | e0737304a4b6947e5325f2c6ab36f3429acfef0f744e5e84b195c802c544d8e7 | 0 | [
"To solve the multiplication problem \\(2346 \\times 5435\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 2346\n × 5435\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
2346 x 5435
Think step by step.
## Here is the solution
12750510
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This indicates the intention to divide the problem into smaller parts.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 419,
"explanation": "The use of 'First' shows an intention to set ... | 0 | 10 |
85 | {
"answer": "15605820",
"problem": "What is the solution to the long multiplication equation below?\n\n3620 x 4311\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n3620 x 4311\n\nThink step by step.",
"solution": "15605820"
} | 15605820 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n3620 x 4311\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(3620 \\times 4311\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 3620\n x 4311\n ```\n\n2. **Multiply the top number by each digit of the bott... | [
"To solve the multiplication problem \\(3620 \\times 4311\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 3620\n x 4311\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | d118874df6523541a7147d5a2f8edba81c08bb784d761865ad026491e05c45fa | d11467254d2772d35d292755a7371296e7b7f0f3660e61a965b07b5a843b4476 | ab6c4caba8a820938da7b02bebee468214364be57f05d189de9f1a6ddb30ef2e | 0 | [
"To solve the multiplication problem \\(3620 \\times 4311\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n ```\n 3620\n x 4311\n ```\n\n2. **Multiply the top number by each digit of the bottom num... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
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 sentence explicitly states the intention to break down the problem into smaller steps, indicating the setting of sub-goals.",
"idx": 0,
"span": "To solve the multiplication problem 3620 × 4311 using long multiplication, we can break it down into smaller, more ... | 0 | 6 |
98 | {
"answer": "45787148",
"problem": "What is the solution to the long multiplication equation below?\n\n9209 x 4972\n\nThink step by step.",
"question": "What is the solution to the long multiplication equation below?\n\n9209 x 4972\n\nThink step by step.",
"solution": "45787148"
} | 45787148 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n9209 x 4972\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_samp... | [
[
"To solve the multiplication problem \\(9209 \\times 4972\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 9209\n × 4972\n ```\n\n2. **Multiply the top number by each digit of the b... | [
"To solve the multiplication problem \\(9209 \\times 4972\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 9209\n × 4972\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | 0de620503e2bea5183b659cc6c0792508bb1932133471476c168a93f2dad907c | 224f9a334ae64f96b2062fdf3b852a5c8eb80cb2bac951ae19dd168b8f9d90ec | 9f3ce0e7936a2400e7171d73892f3d5a5a97bf418730c8faa07f54350cbd7402 | 0 | [
"To solve the multiplication problem \\(9209 \\times 4972\\) using long multiplication, we can break it down into smaller, more manageable steps. Here's how you can do it:\n\n1. **Write the numbers in columns:**\n\n ```\n 9209\n × 4972\n ```\n\n2. **Multiply the top number by each digit of the bottom ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
9209 x 4972
Think step by step.
## Here is the solution
45787148
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 141,
"explanation": "This directly indicates that the model is setting a sub-goal to simplify the process of solving the multiplication.",
"idx": 0,
"span": "we can break it down into smaller, more manageable steps.",
"start_idx": 84
},
{
"end_idx": 345,
"explanation": "... | 0 | 7 |
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 multiplication of 8417 by 8487 using long multiplication, we can break it down into steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n```\n 8417\n x 8487\n ________\n```\n\n2. **Multiply 8417 by the units digit of 8487 (which is 7):**\n\n```\n 8417\n x... | [
"To solve the multiplication of 8417 by 8487 using long multiplication, we can break it down into steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n```\n 8417\n x 8487\n ________\n```\n\n2. **Multiply 8417 by the units digit of 8487 (which is 7):**\n\n```\n 8417\n x 7... | 16a78d897666d8ea7ef806dbbbf86778904adace7a14eec06193bdf660538b68 | c7cdb6c8822e3a17922d8b74b8f46b2e91a2509023ccc40ba238630cbcaf9905 | 379d8437de84bc4bac86d9a32169819b210a543ed26ec50716aa52ed713fabf9 | 0 | [
"To solve the multiplication of 8417 by 8487 using long multiplication, we can break it down into steps. Here's how you can do it:\n\n1. **Write the numbers in a column:**\n\n```\n 8417\n x 8487\n ________\n```\n\n2. **Multiply 8417 by the units digit of 8487 (which is 7):**\n\n```\n 8417\n x 7... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8417 x 8487
Think step by step.
## Here is the solution
71435079
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 103,
"explanation": "This indicates that the model is setting up a structure for the solution by planning to break down the multiplication process into manageable parts.",
"idx": 0,
"span": "we can break it down into steps.",
"start_idx": 71
},
{
"end_idx": 271,
"explana... | 0 | 7 |
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 multiplication of 8779 by 5785 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 8779\n x 5785\n ________\n```\n\n2. **Multiply 8779 by each digit of 5785, starting from the rightmost digit:**\n\n - **Multiply by 5... | [
"To solve the multiplication of 8779 by 5785 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 8779\n x 5785\n ________\n```\n\n2. **Multiply 8779 by each digit of 5785, starting from the rightmost digit:**\n\n - **Multiply by 5 (righ... | ad088451d60858f4044bbba972e7c59637b23cbeba1d25b20d71ce23687b6dc0 | 8d5b229cb0737eaf2cc4f596b807421d27907b85b94f9a61031075de0b81c9f4 | c57c2cf84f8407665e4964612ceb088da7a5c76e1ce41dfba2b8af91f195369d | 0 | [
"To solve the multiplication of 8779 by 5785 using long multiplication, we can break it down into steps as follows:\n\n1. **Write the numbers in columns:**\n\n```\n 8779\n x 5785\n ________\n```\n\n2. **Multiply 8779 by each digit of 5785, starting from the rightmost digit:**\n\n - **Multiply by 5 (righ... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
8779 x 5785
Think step by step.
## Here is the solution
50786515
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 114,
"explanation": "This snippet shows that the model explicitly identifies the need to break the problem down into smaller steps, setting the overall goal to solve the multiplication.",
"idx": 0,
"span": "To solve the multiplication of 8779 by 5785 using long multiplication, we can br... | 0 | 6 |
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 multiplication of 6458 by 5634 using long multiplication, we can break it down into several steps:\n\n1. **Write the numbers in columns:**\n\n```\n 6458\n x 5634\n --------\n```\n\n2. **Multiply 6458 by each digit of 5634, starting from the rightmost digit:**\n\n - **Multiply by 4 (t... | [
"To solve the multiplication of 6458 by 5634 using long multiplication, we can break it down into several steps:\n\n1. **Write the numbers in columns:**\n\n```\n 6458\n x 5634\n --------\n```\n\n2. **Multiply 6458 by each digit of 5634, starting from the rightmost digit:**\n\n - **Multiply by 4 (the uni... | 80ef65a3c46bf5bd1c9cef6eedca4a2c368fc10c4fe2aafc28e9bc9ebb143b9b | 4aaef359f829cc0cd66d72386dc5b9bcd6c525a4f4c1d9f0b226c7526f164ccc | 859ca0b2f0e793041c37c8522e6672bd8cfffae3209f13a26c884a7e47e6fa49 | 0 | [
"To solve the multiplication of 6458 by 5634 using long multiplication, we can break it down into several steps:\n\n1. **Write the numbers in columns:**\n\n```\n 6458\n x 5634\n --------\n```\n\n2. **Multiply 6458 by each digit of 5634, starting from the rightmost digit:**\n\n - **Multiply by 4 (the uni... | TAUR-dev/evals__distilled_4o__long_mult_4dig_EVAL__samples | An LLM was asked a question and we want to see if it creates and uses sub-goals as a reasoning strategy to solve it.
## Here is the question
What is the solution to the long multiplication equation below?
6458 x 5634
Think step by step.
## Here is the solution
36384372
## Here are the current task instructions
Co... | subgoals | [
{
"end_idx": 111,
"explanation": "This is an explicit indication of setting sub-goals as it suggests that the task will be divided into smaller parts.",
"idx": 0,
"span": "we can break it down into several steps:",
"start_idx": 71
},
{
"end_idx": 270,
"explanation": "This indicates a... | 0 | 5 |
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