id stringlengths 24 24 | messages listlengths 2 2 | language stringclasses 37
values | language_name stringclasses 37
values | source_id stringclasses 99
values | source_dataset stringclasses 1
value | source_subset stringclasses 1
value | source_split stringclasses 1
value | source_license stringclasses 1
value | translation_model stringclasses 2
values | translation_method stringclasses 1
value | translation_metrics dict | quality dict | source_metadata_json stringclasses 99
values |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ccb7ff5dec5b335a726d7411 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nОпростете: $(\\sqrt{5})^4$."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да опростя (√5)^4. Хм, да помислим. Спомням си, че когато имате ква... | bg | Bulgarian | nemotron-math-10099 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 51756510742,
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"prompt_eval_duration": 937348892,
"eval_count": 686,
"eval_duration": 50175911584,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
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"preserved_token_ratio": 1,
"source_copy_ratio": 0.1527114967462039,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-10099", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1136, "pilot_stream_index": 10099, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
79c01e34bc5404cf5ef4da1b | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички функции \\( f: \\mathbb{R}^+ \\to \\mathbb{R}^+ \\), които удовлетворяват за всички \\( x, y \\in \\mathbb{R}^+ \\),\n\\[ f(x^3 + y) = f(x)^3 + \\frac{f(... | bg | Bulgarian | nemotron-math-10821 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 685934718685,
"load_duration": 2616870638,
"prompt_eval_count": 8409,
"prompt_eval_duration": 11273537998,
"eval_count": 9116,
"eval_duration": 667056215108,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 11,
"initial_chunk_count": 11,
"request_count": ... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1065437590438931,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.23875,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-10821", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 16981, "pilot_stream_index": 10821, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
892e467087c3c64055c0d34e | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nЗа уравнението \\(x^2 + 4x + y^2 + 6y = -12\\), намерете центъра на окръжността."
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим. Трябва да... | bg | Bulgarian | nemotron-math-10952 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 94154430829,
"load_duration": 456014950,
"prompt_eval_count": 1194,
"prompt_eval_duration": 1619859287,
"eval_count": 1251,
"eval_duration": 91329260901,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0988700564971752,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.2539481996209728,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-10952", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 2255, "pilot_stream_index": 10952, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
7d39d4613390aab02feba7f2 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека $z = z(x, y)$ е неявната функция, дефинирана от уравнението $3e^z + z^3 = x - y + f(x^2y^2, e^{1+2xy})$, където $f$ е диференцируема функция. Определете израза за $... | bg | Bulgarian | nemotron-math-11073 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 263267200115,
"load_duration": 967847411,
"prompt_eval_count": 3392,
"prompt_eval_duration": 4428014111,
"eval_count": 3502,
"eval_duration": 255834339143,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 4,
"initial_chunk_count": 4,
"request_count": 4,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0429887410440122,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3990061654550474,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-11073", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 5286, "pilot_stream_index": 11073, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
18289f9816d777abd830199b | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички растящи функции \\( f: \\mathbb{N} \\to \\mathbb{N} \\), такива че \\( f(m \\cdot n) = f(m) \\cdot f(n) \\) и \\( f(2) = 2 \\)."
},
{
"role": "as... | bg | Bulgarian | nemotron-math-11399 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 469044517767,
"load_duration": 1947282750,
"prompt_eval_count": 5539,
"prompt_eval_duration": 7479077299,
"eval_count": 6232,
"eval_duration": 456070203779,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 8,
"initial_chunk_count": 8,
"request_count": 8,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.143054091314573,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1707382310984308,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-11399", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 10432, "pilot_stream_index": 11399, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
a8fb0415ec0cf514aee1efeb | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички функции \\( f : \\mathbb{R}^+ \\to \\mathbb{R}^+ \\), за които е вярно, че\n\\[ f\\left(\\frac{1}{f(x) + y}\\right) = f(x) + \\frac{f\\left(\\frac{x}{y}\... | bg | Bulgarian | nemotron-math-11428 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 477577244442,
"load_duration": 1560319666,
"prompt_eval_count": 5427,
"prompt_eval_duration": 7247442160,
"eval_count": 6362,
"eval_duration": 465143612446,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 7,
"initial_chunk_count": 7,
"request_count": 7,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0583867320015077,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.083,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-11428", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 24556, "pilot_stream_index": 11428, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
82943df951338252da6e4c80 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nИма ли интегралът \\[ I = \\int \\dfrac{3x}{\\sqrt{x^3 + 9}} \\, dx \\] решение, изразено чрез стандартни математически функции?"
},
{
"role": "assistant",
"... | bg | Bulgarian | nemotron-math-115 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 544784591058,
"load_duration": 2475502215,
"prompt_eval_count": 7226,
"prompt_eval_duration": 9465968367,
"eval_count": 7262,
"eval_duration": 528708252099,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 11,
"initial_chunk_count": 11,
"request_count": 1... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.020572590738423,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.34075,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-115", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 12188, "pilot_stream_index": 115, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
bde77fc6fbc932af5bdc7528 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички функции \\( f: \\mathbb{R} \\to \\mathbb{R} \\), такива че за всички положителни реални числа \\( x \\), \\( y \\) и \\( z \\) е изпълнено:\n\\[ f(x^2 + ... | bg | Bulgarian | nemotron-math-11535 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 1428681768439,
"load_duration": 1564079109,
"prompt_eval_count": 10561,
"prompt_eval_duration": 15840950889,
"eval_count": 12022,
"eval_duration": 1404323423530,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 8,
"initial_chunk_count": 8,
"request_count"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0633877840909092,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.11158333333333334,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-11535", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 26226, "pilot_stream_index": 11535, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
88a78e92fb583a35f7197630 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека \\( f(x) = x^2 + ax + 1 \\), където \\( a \\) е реален параметър. Намерете стойностите на \\( a \\), така че за всяка тройка числа \\( x, y, z \\) в интервала \\([0... | bg | Bulgarian | nemotron-math-11537 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 860667527729,
"load_duration": 4489075053,
"prompt_eval_count": 10896,
"prompt_eval_duration": 14256999488,
"eval_count": 11435,
"eval_duration": 835472449082,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 17,
"initial_chunk_count": 14,
"request_count"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0960379409149295,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.23008333333333333,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-11537", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 18199, "pilot_stream_index": 11537, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
2954bff996255f92041672ff | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКато се има предвид, че \\(\\sin(\\theta) = \\frac{3}{5}\\) и \\(\\theta\\) са в квадрант II, определете \\(\\cos(20)\\) в точен вид."
},
{
"role": "assistant",
... | bg | Bulgarian | nemotron-math-11544 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 144249067204,
"load_duration": 646965509,
"prompt_eval_count": 1774,
"prompt_eval_duration": 2395024079,
"eval_count": 1913,
"eval_duration": 140093651295,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 3,
"initial_chunk_count": 3,
"request_count": 3,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0695006747638327,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.2481430536451169,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-11544", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3514, "pilot_stream_index": 11544, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
807e035f683d274fd70c0fc2 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nИзползвайки тайната кодова система на Мери, където всяка буква се преобразува в нейната позиция в азбуката, след което се умножава по любимото ѝ число и се добавя към лю... | bg | Bulgarian | nemotron-math-12006 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 75800530305,
"load_duration": 422616218,
"prompt_eval_count": 980,
"prompt_eval_duration": 1292947082,
"eval_count": 1011,
"eval_duration": 73508514755,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"a... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0387307512832478,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.20475460122699388,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-12006", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1265, "pilot_stream_index": 12006, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
c998c5cd43d0954e68bf4066 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nЧарлз има две шестстранни зарове. Единият от заровете е честен, а другият е манипулиран, така че да се пада шестица с вероятност $\\frac{2}{3}$, а всяка от останалите пе... | bg | Bulgarian | nemotron-math-12206 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 226823888822,
"load_duration": 1277690630,
"prompt_eval_count": 2898,
"prompt_eval_duration": 3848798122,
"eval_count": 3023,
"eval_duration": 219969789562,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 5,
"initial_chunk_count": 5,
"request_count": 5,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.075787728026534,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.15977395324942203,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-12206", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3687, "pilot_stream_index": 12206, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
464d4d04f7b82db2597e8c85 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете \\[L=\\lim_{n \\to \\infty }\\left ( \\sum_{k=1}^{n} \\frac{\\cos^{3}k}{n+k}\\right )\\]"
},
{
"role": "assistant",
"content": "<think>\nДобре, т... | bg | Bulgarian | nemotron-math-12287 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 740350727354,
"load_duration": 2501846163,
"prompt_eval_count": 8672,
"prompt_eval_duration": 11623686329,
"eval_count": 9811,
"eval_duration": 720736033178,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 10,
"initial_chunk_count": 8,
"request_count": 1... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0570362473347548,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.13475,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-12287", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 17220, "pilot_stream_index": 12287, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
74910f36ed1cd05818a93f57 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nЕдин щатски долар е еквивалентен на 7 намибийски долара. Един щатски долар е също така еквивалентен на 6 китайски юана. Ако една картина струва 105 намибийски долара, ко... | bg | Bulgarian | nemotron-math-12294 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 123794429160,
"load_duration": 438661403,
"prompt_eval_count": 1357,
"prompt_eval_duration": 1813012755,
"eval_count": 1649,
"eval_duration": 120608292421,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.148428405122235,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.06971538215542053,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-12294", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 2895, "pilot_stream_index": 12294, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
981307a056a44d437acdf9ef | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nОпределете дали съществува изпъкнал многостен, който има 4 стени, така че всяка двойка стени да има общ ръб."
},
{
"role": "assistant",
"content": "<think>\n... | bg | Bulgarian | nemotron-math-1290 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 268399171561,
"load_duration": 763722931,
"prompt_eval_count": 2851,
"prompt_eval_duration": 3730088913,
"eval_count": 3575,
"eval_duration": 261937283353,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 3,
"initial_chunk_count": 3,
"request_count": 3,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0184583236591596,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.06800070834071188,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-1290", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 8394, "pilot_stream_index": 1290, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
a2a5f7d71de89e50da1ff07a | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете интеграла $\\int \\frac{dx}{cx+m}$."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да намеря интеграла на 1 спрямо (cx + m) по отн... | bg | Bulgarian | nemotron-math-13066 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 57891362536,
"load_duration": 208372613,
"prompt_eval_count": 710,
"prompt_eval_duration": 948791948,
"eval_count": 772,
"eval_duration": 56298308693,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0524216524216525,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.22346022903125967,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-13066", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1573, "pilot_stream_index": 13066, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
cdf9bfa6e5f94eefbfbb1998 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКогато е представен в стандартната правоъгълна координатна система, трапецът $ABCD$ има върхове $A(1, -2)$, $B(1, 1)$, $C(5, 7)$ и $D(5, 1)$. Каква е площта на трапеца $... | bg | Bulgarian | nemotron-math-13121 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 166952270402,
"load_duration": 665628335,
"prompt_eval_count": 2032,
"prompt_eval_duration": 2744888883,
"eval_count": 2225,
"eval_duration": 162245605298,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 3,
"initial_chunk_count": 3,
"request_count": 3,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.039657691504905,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.21104903786468032,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-13121", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3936, "pilot_stream_index": 13121, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
48aa6990adbc892450c45b55 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nОпределете дали редицата от функции \\( f_n(x) = \\frac{nx}{1 + n^2x^2} \\) е равномерно конвергентна върху интервала \\([0,1]\\)."
},
{
"role": "assistant",
... | bg | Bulgarian | nemotron-math-1316 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 179439558971,
"load_duration": 374186662,
"prompt_eval_count": 1368,
"prompt_eval_duration": 2178448813,
"eval_count": 1534,
"eval_duration": 175759130745,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.050221910768512,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.288266537904394,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-1316", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4038, "pilot_stream_index": 1316, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
05baf19f3d9189c378f769f6 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nРешете уравнението $|x| - |2x| = x$ в множеството на реалните числа."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да реша уравнението |x| - ... | bg | Bulgarian | nemotron-math-13329 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 223841261564,
"load_duration": 1001372862,
"prompt_eval_count": 2830,
"prompt_eval_duration": 3642131357,
"eval_count": 2986,
"eval_duration": 217469670855,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 4,
"initial_chunk_count": 4,
"request_count": 4,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.093237032173342,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1754845468831849,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-13329", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 5475, "pilot_stream_index": 13329, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
aadf4912583472a2b168470f | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nФиона отново наблюдава хората. Тя забелязва група от десет ученици и започва да играе игра сама, в която разглежда двойка хора от групата и се опитва да отгатне дали се ... | bg | Bulgarian | nemotron-math-1334 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 56589314716,
"load_duration": 279176891,
"prompt_eval_count": 686,
"prompt_eval_duration": 936782454,
"eval_count": 753,
"eval_duration": 54966854853,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0060180541624875,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.10668340131785378,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-1334", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1570, "pilot_stream_index": 1334, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
e86d40c8965e074948b3171b | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека \\( k \\in \\mathbb{N^+} \\), \\( S = \\left\\{ \\left( m + \\frac{1}{k}, n \\right) \\mid m, n \\in \\mathbb{Z} \\right\\} \\) и \\( T = \\left\\{ \\left( m + \\fr... | bg | Bulgarian | nemotron-math-1345 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1202295229196,
"load_duration": 5706289355,
"prompt_eval_count": 14864,
"prompt_eval_duration": 19213636450,
"eval_count": 15978,
"eval_duration": 1168646728160,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 21,
"initial_chunk_count": 15,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1233432736911861,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.20458333333333334,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-1345", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 21802, "pilot_stream_index": 1345, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
70aabcc15f6169e1968d646c | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nДадено е, че \\( f(f(x)) = x^2 + 2 \\) и \\( f(x) \\) е положително цяло число за положително цяло число \\( x \\). Освен това, ако \\( a > b \\), тогава \\( f(a) > f(b)... | bg | Bulgarian | nemotron-math-13746 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 873857525274,
"load_duration": 4750946194,
"prompt_eval_count": 11458,
"prompt_eval_duration": 14588783404,
"eval_count": 11658,
"eval_duration": 847682824724,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 20,
"initial_chunk_count": 20,
"request_count"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1381391450125733,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.25283333333333335,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-13746", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 16844, "pilot_stream_index": 13746, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
f745b0cfdc835e25516caf8a | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че поставяте отговора (и само отговора) вътре в \\boxed{}.\n\nВ правоъгълен триъгълник отношението на хипотенузата към периметъра на триъгълника определя интервал от реалните числа. Намерете средата на този интервал."
},
{
... | bg | Bulgarian | nemotron-math-14044 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 880334498116,
"load_duration": 2348540893,
"prompt_eval_count": 7447,
"prompt_eval_duration": 11031596848,
"eval_count": 7592,
"eval_duration": 861337883012,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 12,
"initial_chunk_count": 12,
"request_count": ... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0558646444630744,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.19655956415426193,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-14044", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 11311, "pilot_stream_index": 14044, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
e1fb8344e9fdf649a4df6371 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nЕдин човек има неограничено количество пари и иска да ги разпредели между \\( n \\) души, така че всеки да получи кратно на 4 рупии, но не повече от \\( 4n-1 \\) рупии. ... | bg | Bulgarian | nemotron-math-14383 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 284110545374,
"load_duration": 1355911911,
"prompt_eval_count": 3680,
"prompt_eval_duration": 4981680031,
"eval_count": 3774,
"eval_duration": 275594779656,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 6,
"initial_chunk_count": 6,
"request_count": 6,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0625252117789432,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.18133165433653392,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-14383", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 6124, "pilot_stream_index": 14383, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
de89e2be5f92030d272fe260 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички прости числа $p$, за които както $p^3+2008$, така и $p^3+2010$ са прости числа."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва... | bg | Bulgarian | nemotron-math-14749 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 901685484880,
"load_duration": 5077501953,
"prompt_eval_count": 11677,
"prompt_eval_duration": 14781222815,
"eval_count": 12007,
"eval_duration": 874533474626,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 22,
"initial_chunk_count": 22,
"request_count"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.2041876574307304,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.28733333333333333,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-14749", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 17556, "pilot_stream_index": 14749, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
e06b0b223b9b4a99001dd287 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете произведението \\[ (n-1) \\cdot n \\cdot (n+1) \\cdot (n+2) \\cdot (n+3), \\], където $n=2$."
},
{
"role": "assistant",
"content": "<think>\nДобр... | bg | Bulgarian | nemotron-math-14938 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 72001333094,
"load_duration": 491848243,
"prompt_eval_count": 1002,
"prompt_eval_duration": 1275201475,
"eval_count": 964,
"eval_duration": 69686946054,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"a... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.042236763831053,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.24676616915422886,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-14938", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1480, "pilot_stream_index": 14938, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
ba5538e15de4988e3cb25991 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКакъв е остатъкът, когато $\\sum_{k=1}^{2005}k^{2005 \\cdot 2^{2005}}$ се раздели на $2^{2005}$?"
},
{
"role": "assistant",
"content": "<think>\nДобре, трябв... | bg | Bulgarian | nemotron-math-15033 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 373784712214,
"load_duration": 2022227531,
"prompt_eval_count": 4984,
"prompt_eval_duration": 6315529960,
"eval_count": 4993,
"eval_duration": 362467151736,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 9,
"initial_chunk_count": 9,
"request_count": 9,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0808308605341246,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1548202614379085,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-15033", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 7031, "pilot_stream_index": 15033, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
28fc4d94cf62962c06e1d4e8 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека \\( a \\) е реално число, такова че \\( 0 < a < 1 \\). Дефинирайте последователност \\( \\{a_n\\} \\) по следния начин:\n- \\( a_1 = a \\)\n- За \\( n = 2, 3, 4, \\... | bg | Bulgarian | nemotron-math-16147 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 314195538459,
"load_duration": 2296974815,
"prompt_eval_count": 4324,
"prompt_eval_duration": 5474349667,
"eval_count": 4184,
"eval_duration": 303993845302,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 9,
"initial_chunk_count": 7,
"request_count": 10,... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1141732283464567,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.31239903069466884,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-16147", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4649, "pilot_stream_index": 16147, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
bd757c715db76aae2fd4f2c8 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете най-малкото решение на уравнението \\[\\frac{1}{x-2} + \\frac{1}{x-4} = \\frac{3}{x-3}.\\]"
},
{
"role": "assistant",
"content": "<think>\nДобре, им... | bg | Bulgarian | nemotron-math-16213 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 205270404488,
"load_duration": 1122266284,
"prompt_eval_count": 2844,
"prompt_eval_duration": 3740437385,
"eval_count": 2739,
"eval_duration": 198804041451,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 5,
"initial_chunk_count": 5,
"request_count": 5,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.038501778614773,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.301952861952862,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-16213", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3637, "pilot_stream_index": 16213, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
287d23dff5494d40160e8473 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКолко 9-цифрени числа могат да бъдат образувани, използвайки цифрите $0, 1, 2, \\ldots, 9$, така че цифрата $1$ да се среща точно три пъти, а всички останали цифри да са... | bg | Bulgarian | nemotron-math-1642 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 382284070093,
"load_duration": 1854859220,
"prompt_eval_count": 4763,
"prompt_eval_duration": 6398089228,
"eval_count": 5086,
"eval_duration": 371146170446,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 8,
"initial_chunk_count": 8,
"request_count": 8,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0565719110610752,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.20711437891575624,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-1642", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 9355, "pilot_stream_index": 1642, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
5b3729e57dcb1b2a70d49dc4 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете неопределения интеграл $\\int \\frac{6x+1}{\\sqrt{3x^2+x+4}}dx$."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да намеря неопреде... | bg | Bulgarian | nemotron-math-16447 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 83720516349,
"load_duration": 4566239226,
"prompt_eval_count": 1066,
"prompt_eval_duration": 1380519717,
"eval_count": 1063,
"eval_duration": 76968796911,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 0.9934579439252337,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.21719927253832164,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-16447", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1936, "pilot_stream_index": 16447, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
2b5f9ae99d28a6446b3432f6 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете частното решение на диференциалното уравнение $y''+ 6y' +8y= 2x \\sin x + \\cos x$ и решете уравнението."
},
{
"role": "assistant",
"content": "<thi... | bg | Bulgarian | nemotron-math-16463 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1130074478172,
"load_duration": 5813152565,
"prompt_eval_count": 14928,
"prompt_eval_duration": 18120618542,
"eval_count": 15081,
"eval_duration": 1097268000095,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 26,
"initial_chunk_count": 26,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.055557613244935,
"preserved_token_ratio": 0.9987600743955363,
"source_copy_ratio": 0.15875,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-16463", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 25973, "pilot_stream_index": 16463, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
1bc3ef9977c1ed4b5bf24309 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен вътре в \\boxed{}.\n\nНамерете всички последователности $(a_n)$ от положителни цели числа, които удовлетворяват равенството $a_n = a_{a_{n-1}} + a_{a_{n+1}}$ за всички $n \\ge 2$."
},... | bg | Bulgarian | nemotron-math-16474 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 2134418299847,
"load_duration": 6387530884,
"prompt_eval_count": 18291,
"prompt_eval_duration": 26595959591,
"eval_count": 18269,
"eval_duration": 2087307325532,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 33,
"initial_chunk_count": 33,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0755526113939056,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.11683333333333333,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-16474", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 26588, "pilot_stream_index": 16474, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
8df90919963f7c6da6302ced | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички прости числа $ p$, такива че $ 1 + p + p^2 + p^3 + p^4$ е пълен квадрат."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да нам... | bg | Bulgarian | nemotron-math-16885 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 1220267748167,
"load_duration": 3519073484,
"prompt_eval_count": 10463,
"prompt_eval_duration": 15564891047,
"eval_count": 10359,
"eval_duration": 1194405152656,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 18,
"initial_chunk_count": 18,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0776664702416028,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3294166666666667,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-16885", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 15242, "pilot_stream_index": 16885, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
aa83e0c1f9b64fcb11d2e866 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете $(-1)^{47} + 2^{(3^3+4^2-6^2)}$."
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим. Трябва да пресметна (-1)^47 плюс 2, повдигнат... | bg | Bulgarian | nemotron-math-16983 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 92060530547,
"load_duration": 736525738,
"prompt_eval_count": 1289,
"prompt_eval_duration": 1584106632,
"eval_count": 1230,
"eval_duration": 89022743048,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 3,
"initial_chunk_count": 3,
"request_count": 3,
"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0515995872033024,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.17759562841530055,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-16983", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1785, "pilot_stream_index": 16983, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
bd870ca8fbf79f23e7e9c23a | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nСъществува ли цяло число \\( m > 1 \\), за което множеството от всички \\( x \\in [0,1] \\), чието представяне в бройна система с основа \\( m \\) съдържа само цифрите \... | bg | Bulgarian | nemotron-math-17048 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1131936666795,
"load_duration": 7069290333,
"prompt_eval_count": 14346,
"prompt_eval_duration": 17729353885,
"eval_count": 15092,
"eval_duration": 1098202019453,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 25,
"initial_chunk_count": 17,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1274175199089875,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1305,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-17048", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 22658, "pilot_stream_index": 17048, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
77c7f9a335a0929f23b19684 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички двойки цели числа $(x, y)$, които удовлетворяват уравнението:\n\\[ xy + \\frac{x^3 + y^3}{3} = 2007 \\]"
},
{
"role": "assistant",
"content":... | bg | Bulgarian | nemotron-math-17132 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1397056639536,
"load_duration": 9001990401,
"prompt_eval_count": 19450,
"prompt_eval_duration": 23482644216,
"eval_count": 18715,
"eval_duration": 1353987092447,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 40,
"initial_chunk_count": 40,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1155431262879012,
"preserved_token_ratio": 0.9995883079456567,
"source_copy_ratio": 0.351,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-17132", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 26680, "pilot_stream_index": 17132, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
8f8b834a7957d07979879a17 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nРешете уравнението \\( \\sqrt{2-x^{2}}+\\sqrt{2-\\frac{1}{x^{2}}}=4-(x+\\frac{1}{x}) \\)."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да ре... | bg | Bulgarian | nemotron-math-17198 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 1189050156280,
"load_duration": 3987992131,
"prompt_eval_count": 10437,
"prompt_eval_duration": 15411301640,
"eval_count": 10234,
"eval_duration": 1162384368152,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 21,
"initial_chunk_count": 21,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1015231702594552,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3875,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-17198", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 15302, "pilot_stream_index": 17198, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
36ba2a4ff8072748ec9bb98b | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nЗа кое положително цяло число \\( n \\) условието \\( |x_1 - x_2| = |x_2 - x_3| = \\cdots = |x_{n-1} - x_n| = |x_n - x_1| \\) следва, че \\( x_1 = x_2 = \\cdots = x_n \\... | bg | Bulgarian | nemotron-math-17385 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 1758247197940,
"load_duration": 3467333393,
"prompt_eval_count": 13342,
"prompt_eval_duration": 20187776354,
"eval_count": 14897,
"eval_duration": 1724068268087,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 17,
"initial_chunk_count": 15,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.074346146539168,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1665,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-17385", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 30753, "pilot_stream_index": 17385, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
158bee58bdc2a9b9d640ee2b | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека \\( P(x) \\) е полиномна функция от пета степен с целочислени коефициенти, която има поне един цялочислен корен. Ако \\( P(2) = 13 \\) и \\( P(10) = 5 \\), изчислет... | bg | Bulgarian | nemotron-math-17583 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 183806219625,
"load_duration": 703468666,
"prompt_eval_count": 2194,
"prompt_eval_duration": 2902211437,
"eval_count": 2442,
"eval_duration": 178797332844,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 3,
"initial_chunk_count": 3,
"request_count": 3,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.083363802559415,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.13688302509129463,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-17583", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4050, "pilot_stream_index": 17583, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
ee3865233a61be3fd7a2e511 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНачертайте графиката на функцията \\( y = |x| - 5 \\) и определете нейната област на стойности."
},
{
"role": "assistant",
"content": "<think>\nДобре, нека р... | bg | Bulgarian | nemotron-math-17835 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 115786567931,
"load_duration": 483957103,
"prompt_eval_count": 1353,
"prompt_eval_duration": 1871219024,
"eval_count": 1538,
"eval_duration": 112538346554,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1323706377858003,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1814911706998038,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-17835", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 2848, "pilot_stream_index": 17835, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
615593347de8a9986dfd0869 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nМинимизирайте израза \\(xy (x^2 y^2 - x^2 - y^2 + 1)\\) в областта \\(x, y \\in [0, 1]\\)."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да н... | bg | Bulgarian | nemotron-math-1787 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 278028475886,
"load_duration": 1387509695,
"prompt_eval_count": 3572,
"prompt_eval_duration": 4582098917,
"eval_count": 3718,
"eval_duration": 269976540474,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 6,
"initial_chunk_count": 6,
"request_count": 6,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0821256038647342,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.16004371925989538,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-1787", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 6116, "pilot_stream_index": 1787, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
f90a860814157e8e5aec0b44 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nОпростете $(2x)^4 + (3x)(x^3)$."
},
{
"role": "assistant",
"content": "<think>\nДобре, имам този алгебричен проблем, който трябва да опростя: (2x)^4 плюс (3x... | bg | Bulgarian | nemotron-math-18091 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 63826733180,
"load_duration": 500697410,
"prompt_eval_count": 856,
"prompt_eval_duration": 1179140397,
"eval_count": 844,
"eval_duration": 61533999376,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"ad... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0012269938650307,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1435793731041456,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-18091", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1487, "pilot_stream_index": 18091, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
c6c3b9888c9b76f070adbd36 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nЛюбимото число на RJ е положително цяло число, по-малко от \\(1000\\). Когато е записано в бройна система \\(5\\), последната му цифра е \\(3\\), а когато е записано в б... | bg | Bulgarian | nemotron-math-18406 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 253670440394,
"load_duration": 1392483810,
"prompt_eval_count": 3190,
"prompt_eval_duration": 4270306712,
"eval_count": 3378,
"eval_duration": 245907374391,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 6,
"initial_chunk_count": 6,
"request_count": 6,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1282687851704734,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.21262057877813506,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-18406", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4692, "pilot_stream_index": 18406, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
126707f944d2df96d4f40b97 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете най-голямата стойност на $a$, така че $a^2-10a+21 \\le 0$."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да намеря най-голямата стой... | bg | Bulgarian | nemotron-math-18500 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 78867357209,
"load_duration": 477953262,
"prompt_eval_count": 982,
"prompt_eval_duration": 1290476835,
"eval_count": 1049,
"eval_duration": 76408483139,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"a... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0574201374848362,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.14695695200395845,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-18500", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1961, "pilot_stream_index": 18500, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
63348873e081fdce9ba9c358 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете уравнението на обратната функция за \\( y = 2x - 8 \\)."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да намеря обратната функция на... | bg | Bulgarian | nemotron-math-18547 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 76395915581,
"load_duration": 494966039,
"prompt_eval_count": 986,
"prompt_eval_duration": 1340072199,
"eval_count": 1014,
"eval_duration": 73950425792,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"a... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0913284132841328,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.15619694397283532,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-18547", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1672, "pilot_stream_index": 18547, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
3479c54491988f00019e1cd4 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nРешете уравнението за реалните числа $(x, y)$:\n\\[ x^2 + 20x + 351 = \\frac{2008}{y^2 + 30y + 233} \\]"
},
{
"role": "assistant",
"content": "<think>\nДобре... | bg | Bulgarian | nemotron-math-19086 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 143408901213,
"load_duration": 927935676,
"prompt_eval_count": 1943,
"prompt_eval_duration": 2568983988,
"eval_count": 1905,
"eval_duration": 138809121371,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 4,
"initial_chunk_count": 4,
"request_count": 4,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0901325478645065,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.30880144187443676,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19086", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3182, "pilot_stream_index": 19086, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
473d4354cafc33edb4b6c2cf | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички положителни цели числа \\( k \\), такива че за първите \\( k \\) нечетни числа \\(\\{1, 3, \\ldots, 2k-1\\}\\) съществуват положителни цели числа \\( a \... | bg | Bulgarian | nemotron-math-1916 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 1962774678693,
"load_duration": 6241830025,
"prompt_eval_count": 17228,
"prompt_eval_duration": 25297143879,
"eval_count": 16842,
"eval_duration": 1920313385566,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 33,
"initial_chunk_count": 33,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0764087179672535,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.27416666666666667,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-1916", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 25390, "pilot_stream_index": 1916, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
f32e2cbad25fb50fef4fa873 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете интеграла \\( \\int_{0}^{\\infty} \\ln x \\, e^{-x^2} \\, dx \\)."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да пресметна инте... | bg | Bulgarian | nemotron-math-19175 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 271650331321,
"load_duration": 1168920834,
"prompt_eval_count": 3481,
"prompt_eval_duration": 4621642945,
"eval_count": 3612,
"eval_duration": 263689913761,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 5,
"initial_chunk_count": 5,
"request_count": 5,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0519965527147372,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3342389067259406,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19175", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 5899, "pilot_stream_index": 19175, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
67c03e1f35678032b680d5ef | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКолко положителни цели числа, по-малки от $250$, са кратни на $5$, но не са кратни на $10$?"
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим... | bg | Bulgarian | nemotron-math-19187 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 193188650332,
"load_duration": 819208008,
"prompt_eval_count": 2380,
"prompt_eval_duration": 3155638399,
"eval_count": 2582,
"eval_duration": 187734854780,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 4,
"initial_chunk_count": 4,
"request_count": 4,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0743015652863086,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.10110189708054072,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19187", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4240, "pilot_stream_index": 19187, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
118fc8bfe471832dfb378bf2 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете функцията, чиято трансформация на Фурие е \\(\\omega^{2}\\frac{\\cos\\omega}{\\omega^{2}+1}\\)."
},
{
"role": "assistant",
"content": "<think>\nДобр... | bg | Bulgarian | nemotron-math-19249 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 430119884783,
"load_duration": 1623439112,
"prompt_eval_count": 5439,
"prompt_eval_duration": 7280940104,
"eval_count": 5721,
"eval_duration": 417922212793,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 7,
"initial_chunk_count": 7,
"request_count": 7,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0471380471380471,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.351288056206089,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19249", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 9590, "pilot_stream_index": 19249, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
e0ff1d16bfbdc321f978046f | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nИзчислете стойността на \\( E = \\lg^3 5 + \\lg^3 20 + \\lg 8 \\cdot \\lg 0.25 \\)."
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим. Трябва... | bg | Bulgarian | nemotron-math-19303 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 347987604523,
"load_duration": 1923586852,
"prompt_eval_count": 3389,
"prompt_eval_duration": 4624236099,
"eval_count": 3086,
"eval_duration": 338740875991,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 8,
"initial_chunk_count": 5,
"request_count": 10,... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.041653617287817,
"preserved_token_ratio": 0.9961538461538462,
"source_copy_ratio": 0.22240312601758386,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19303", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3009, "pilot_stream_index": 19303, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
a89ad2e957e7ca56a9a11913 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека \\( f: \\mathbb{R}^2 \\to \\mathbb{R} \\) е непрекъсната функция, такава че \\( f(x) = 0 \\) само за краен брой стойности на \\( x \\). Кое от следните твърдения е ... | bg | Bulgarian | nemotron-math-19524 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1188559302680,
"load_duration": 3256729788,
"prompt_eval_count": 12867,
"prompt_eval_duration": 16901564350,
"eval_count": 15800,
"eval_duration": 1159676665436,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 12,
"initial_chunk_count": 8,
"request_count... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.08192881046547,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.11491666666666667,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19524", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 30641, "pilot_stream_index": 19524, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
0180174f36d2bb2640d3e0d6 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nВ триъгълник \\( \\triangle ABC \\), ако се приложи инверсия спрямо точка \\( A \\), какъв е образът на основата на \\( A \\)-височината?"
},
{
"role": "assistan... | bg | Bulgarian | nemotron-math-19685 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1802682740254,
"load_duration": 4118268957,
"prompt_eval_count": 19280,
"prompt_eval_duration": 25397565842,
"eval_count": 23515,
"eval_duration": 1757721934889,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 18,
"initial_chunk_count": 18,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0303635637235318,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.16058333333333333,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19685", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 59137, "pilot_stream_index": 19685, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
2bb73ca3317bb33f5e91e3de | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички $(a,b,c) \\in \\mathbb{Z}^3$, за които $1 + 2^a + 3^b = 4^c$."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да намеря всички ... | bg | Bulgarian | nemotron-math-19802 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 640666915413,
"load_duration": 4798771274,
"prompt_eval_count": 9283,
"prompt_eval_duration": 10934572395,
"eval_count": 8581,
"eval_duration": 619929843286,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 20,
"initial_chunk_count": 18,
"request_count": ... | {
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"language_confidence": 1,
"length_ratio": 1.169441434341444,
"preserved_token_ratio": 1,
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"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19802", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 9966, "pilot_stream_index": 19802, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
c52cda186926bfdcb7af3ab6 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nВъртяща се игра е разделена на три сектора, обозначени като $A$, $B$ и $C$. Вероятността стрелката да спре на сектор $A$ е $\\frac{1}{2}$, а на сектор $B$ е $\\frac{1}{5... | bg | Bulgarian | nemotron-math-19866 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 70012728729,
"load_duration": 445080189,
"prompt_eval_count": 891,
"prompt_eval_duration": 1166862201,
"eval_count": 931,
"eval_duration": 67865007490,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"ad... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0395943988411396,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.13333333333333333,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19866", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1663, "pilot_stream_index": 19866, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
ced03ad53ad0abb9567aa7da | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКакъв е периодът на $y = \\cos \\frac{x}{2}$?"
},
{
"role": "assistant",
"content": "<think>\nДобре, ще се опитам да определя периода на функцията y = cos(x/... | bg | Bulgarian | nemotron-math-19905 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 59400116537,
"load_duration": 228655927,
"prompt_eval_count": 733,
"prompt_eval_duration": 969781514,
"eval_count": 788,
"eval_duration": 57731357482,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 0.9979317476732161,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1285623812539582,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-19905", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1581, "pilot_stream_index": 19905, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
0e4e7460b101a1ed3a6e363f | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете $\\csc 225^\\circ.$"
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим. Трябва да намеря косеканса на 225 градуса. Хм, първо, спомням... | bg | Bulgarian | nemotron-math-2307 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 82887986710,
"load_duration": 465562573,
"prompt_eval_count": 999,
"prompt_eval_duration": 1299428698,
"eval_count": 1106,
"eval_duration": 80499647649,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"a... | {
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"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1017576318223867,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.14104372355430184,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-2307", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 2023, "pilot_stream_index": 2307, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
3e7de63bced85ee34ec5b1aa | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека \\( x \\) и \\( y \\) са реални числа, такива че \\( xy(x-y) = 1 \\) и \\( x^2 - xy + y^2 = y + 1 \\). Намерете разликата между максималната и минималната стойност ... | bg | Bulgarian | nemotron-math-2470 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 589407912508,
"load_duration": 2768784270,
"prompt_eval_count": 7574,
"prompt_eval_duration": 10145922485,
"eval_count": 7840,
"eval_duration": 572117451032,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 12,
"initial_chunk_count": 12,
"request_count": ... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0868226197496889,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.2624166666666667,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-2470", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 13451, "pilot_stream_index": 2470, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
8c7c9dad14d1c92b41dee200 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПо колко начина могат да бъдат подредени четири еднакви червени чипа и два еднакви бели чипа в кръг?"
},
{
"role": "assistant",
"content": "<think>\nДобре, т... | bg | Bulgarian | nemotron-math-3073 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 376071118386,
"load_duration": 1083064022,
"prompt_eval_count": 4091,
"prompt_eval_duration": 5430715147,
"eval_count": 5011,
"eval_duration": 366765473587,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 5,
"initial_chunk_count": 5,
"request_count": 5,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0445129258688581,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.11874730228766006,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-3073", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 10208, "pilot_stream_index": 3073, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
c959167b8fb646f2fcc09a6a | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКаква е точковата форма на уравнението на права линия с наклон \\( \\frac{3}{5} \\), която минава през точката \\((10, -2)\\)?"
},
{
"role": "assistant",
"co... | bg | Bulgarian | nemotron-math-3396 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 50392551154,
"load_duration": 236935787,
"prompt_eval_count": 632,
"prompt_eval_duration": 828043708,
"eval_count": 672,
"eval_duration": 48940335233,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.020327868852459,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.19281968535699878,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-3396", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1222, "pilot_stream_index": 3396, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
91ac9c02fc6c5b651b7b73d5 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nОпределете всички двойки функции \\( f, g : \\mathbb{Q} \\rightarrow \\mathbb{Q} \\), които удовлетворяват равенството\n\\[ f(x + g(y)) = g(x) + 2y + f(y) \\]\nза всички... | bg | Bulgarian | nemotron-math-3881 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 910641820261,
"load_duration": 3077553364,
"prompt_eval_count": 11554,
"prompt_eval_duration": 15334614551,
"eval_count": 12045,
"eval_duration": 885300996550,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 12,
"initial_chunk_count": 10,
"request_count"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0591198303287381,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.10466666666666667,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-3881", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 17836, "pilot_stream_index": 3881, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
92d7602f86d921d7e5494c81 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете сумата $1+\\frac{1}{2}+\\frac{1}{6}+\\frac{1}{12}+\\ldots+\\frac{1}{(n-1)n}+\\ldots$"
},
{
"role": "assistant",
"content": "<think>\nДобре, нека ... | bg | Bulgarian | nemotron-math-4023 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 256071817688,
"load_duration": 1604054007,
"prompt_eval_count": 3489,
"prompt_eval_duration": 4554127518,
"eval_count": 3423,
"eval_duration": 247954839591,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 7,
"initial_chunk_count": 7,
"request_count": 7,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1024462019496046,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.2579463419890098,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-4023", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4400, "pilot_stream_index": 4023, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
9c5ba3afaa6c47721c24e11a | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете посочените изрази: $\\log _2 360$, ако $\\log _3 20=a$, то $\\log _3 15=b$."
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим. Тр... | bg | Bulgarian | nemotron-math-4099 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 221157089068,
"load_duration": 1158202012,
"prompt_eval_count": 2980,
"prompt_eval_duration": 3930960709,
"eval_count": 2951,
"eval_duration": 214397152387,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 5,
"initial_chunk_count": 5,
"request_count": 5,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0755929949013523,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.33969037469149654,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-4099", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4291, "pilot_stream_index": 4099, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
e39e2a343aa12b857ce1f287 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nOABCD е пирамида, като ABCD е квадрат, OA = OB = OC = OD и ъгълът AOB = 45°. Намерете \\(\\cos \\theta\\), където \\(\\theta\\) е ъгълът между две съседни триъгълни стра... | bg | Bulgarian | nemotron-math-4287 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 582061476784,
"load_duration": 3749901340,
"prompt_eval_count": 7859,
"prompt_eval_duration": 9953475320,
"eval_count": 7749,
"eval_duration": 563990102002,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 14,
"initial_chunk_count": 10,
"request_count": 1... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0708470465962239,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.37534930139720557,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-4287", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 9624, "pilot_stream_index": 4287, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
5f48771377634477e503dc30 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че поставяте отговора (и само отговора) вътре в \\boxed{}.\n\nКолко от собствените стойности на матрицата \n\\[\n\\left[ \\begin {array}{cccc} \n4 & 1 & 0 & 4 \\\\ \n1 & 5 & 4 & 0 \\\\ \n0 & 4 & 5 & 0 \\\\ \n4 & 0 & 0 & 5 \n\\en... | bg | Bulgarian | nemotron-math-4563 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 1929655316907,
"load_duration": 4788898420,
"prompt_eval_count": 15291,
"prompt_eval_duration": 22254774913,
"eval_count": 16573,
"eval_duration": 1889856967033,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 25,
"initial_chunk_count": 25,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0734107130945234,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.18383333333333332,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-4563", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 28467, "pilot_stream_index": 4563, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
d91505275f9535e7f92b7c6b | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nСлед като нагревателят се изключи, температурата на водата намалява с променлива скорост $k_2(\\theta - 20)$ градуса по Целзий в секунда, където $k_2$ е константа. Запиш... | bg | Bulgarian | nemotron-math-4715 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 70975122354,
"load_duration": 247514915,
"prompt_eval_count": 807,
"prompt_eval_duration": 1090833087,
"eval_count": 945,
"eval_duration": 69109644557,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ad... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0409741012756089,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.14619725880139747,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-4715", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1820, "pilot_stream_index": 4715, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
4f39ae664f9dc1f41f67c32e | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nДаден е полиномът \\( P(x) = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + \\cdots + a_{100} x^{100} \\), като \\( a_{100} = 1 \\) и \\( P(x) \\) се делят на \\( (x+9)^{100} \\). На... | bg | Bulgarian | nemotron-math-4724 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 131226464374,
"load_duration": 433657612,
"prompt_eval_count": 1523,
"prompt_eval_duration": 2033405591,
"eval_count": 1749,
"eval_duration": 127772282257,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0248361503966885,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1154257907542579,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-4724", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 5061, "pilot_stream_index": 4724, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
f661a8ed3da232339caed5da | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКаква е мярката в градуси на ъгъл, чиято мярка е двойна на мярката на допълващия го ъгъл?"
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим. ... | bg | Bulgarian | nemotron-math-5181 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 47788990146,
"load_duration": 242441573,
"prompt_eval_count": 517,
"prompt_eval_duration": 632790260,
"eval_count": 643,
"eval_duration": 46540737665,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
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"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1098348887293612,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1322314049586777,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5181", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 902, "pilot_stream_index": 5181, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "ve... |
fe8f16d5aff69bf5eb32a0f5 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПоследователност \\(a_1, a_2, \\dots\\) от неотрицателни цели числа е дефинирана чрез правилото \\(a_{n+2} = |a_{n+1} - a_n|\\) за \\(n \\geq 1\\). Ако \\(a_1 = 999\\), ... | bg | Bulgarian | nemotron-math-5248 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1844080147741,
"load_duration": 7957091420,
"prompt_eval_count": 22398,
"prompt_eval_duration": 29910916476,
"eval_count": 24552,
"eval_duration": 1792311111735,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 35,
"initial_chunk_count": 35,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1144855356575183,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.13275,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5248", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 45336, "pilot_stream_index": 5248, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
0ab3ba21a96de03bc51af621 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека \\( p \\) е трицифрено просто число, такова че \\( p = 100a + 10b + c \\) за цели числа \\( a, b, c \\). Може ли квадратното уравнение \\( ax^2 + bx + c = 0 \\) да ... | bg | Bulgarian | nemotron-math-5399 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 729088704313,
"load_duration": 4040573074,
"prompt_eval_count": 9659,
"prompt_eval_duration": 11998214279,
"eval_count": 9726,
"eval_duration": 707599358008,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 17,
"initial_chunk_count": 17,
"request_count": ... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.1390432394456154,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.24733333333333332,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5399", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 15361, "pilot_stream_index": 5399, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
04ea597277713e044e11b92d | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКаква е стойността на $\\sin^{-1}(-3)$?"
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да намеря стойността на arcsin(-3), което се записва ка... | bg | Bulgarian | nemotron-math-5462 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 37257330140,
"load_duration": 251375068,
"prompt_eval_count": 441,
"prompt_eval_duration": 576410824,
"eval_count": 499,
"eval_duration": 36068855547,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0787075393537697,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.11591033351558229,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5462", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 870, "pilot_stream_index": 5462, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "ve... |
df5ce853abf1093878f1c2fc | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете всички възможни стойности на цялото число \\( n > 3 \\), за които съществува изпъкнал \\( n \\)-ъгълник, в който всяка диагонала е перпендикулярна среда на поне... | bg | Bulgarian | nemotron-math-5477 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1156995870641,
"load_duration": 3878657149,
"prompt_eval_count": 11661,
"prompt_eval_duration": 15215219550,
"eval_count": 15428,
"eval_duration": 1129046744304,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 16,
"initial_chunk_count": 14,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.069630609615987,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.0775,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5477", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 26580, "pilot_stream_index": 5477, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
405fcd54294f9918901c0ffb | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nРешете уравнението $19-3=2+r$ за $r$."
},
{
"role": "assistant",
"content": "<think>\nДобре, ще се опитам да реша това уравнение. Проблемът е, че 19 минус 3 ... | bg | Bulgarian | nemotron-math-5604 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 37331869349,
"load_duration": 215442804,
"prompt_eval_count": 500,
"prompt_eval_duration": 655738213,
"eval_count": 498,
"eval_duration": 36166799387,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
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"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0534562211981566,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.1383975026014568,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5604", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 934, "pilot_stream_index": 5604, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "ve... |
85e7baa94adf3a075bfea40f | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете \\( x \\), ако \\( x^{x^3} = 3 \\)."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да реша уравнението x^(x³) = 3. Хм, изглежда малко... | bg | Bulgarian | nemotron-math-5631 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 270690958346,
"load_duration": 1244244836,
"prompt_eval_count": 3535,
"prompt_eval_duration": 4683558177,
"eval_count": 3613,
"eval_duration": 262739969273,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 6,
"initial_chunk_count": 6,
"request_count": 6,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0723498888065233,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.2404912161009722,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5631", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 5645, "pilot_stream_index": 5631, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
2a1447a33daa6c24cff15a70 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен вътре в \\boxed{}.\n\nКаква е най-малката възможна стойност на \\((xy-1)^2+(x+y)^2\\) за реални числа \\(x\\) и \\(y\\)?"
},
{
"role": "assistant",
"content": "<think>\nДобр... | bg | Bulgarian | nemotron-math-5781 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 423238033455,
"load_duration": 1655942739,
"prompt_eval_count": 4858,
"prompt_eval_duration": 6459590524,
"eval_count": 5645,
"eval_duration": 411958638461,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 7,
"initial_chunk_count": 7,
"request_count": 7,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.07196773264189,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.27141666666666664,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5781", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 16584, "pilot_stream_index": 5781, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
4de078fc0d07fd5c6c2f4baa | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че поставяте отговора (и само отговора) вътре в \\boxed{}.\n\nНамерете последните три цифри на ${{3^3}^3}^3$ без използването на калкулатор."
},
{
"role": "assistant",
"content": "<think>\nДобре, така че трябва да на... | bg | Bulgarian | nemotron-math-5812 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 906656567160,
"load_duration": 3522373552,
"prompt_eval_count": 8227,
"prompt_eval_duration": 11991308808,
"eval_count": 7797,
"eval_duration": 886042315145,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 18,
"initial_chunk_count": 18,
"request_count": ... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0885518590998042,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.4575832645196807,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5812", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 8680, "pilot_stream_index": 5812, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
9dc76713ff7fb7d70d38e62a | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че поставяте отговора (и само отговора) вътре в \\boxed{}.\n\nВ 6 ч. автобусната гара А започва да изпраща автобуси към гара Б, а гара Б започва да изпраща автобуси към гара А. Всяка от двете гари изпраща по един автобус към дру... | bg | Bulgarian | nemotron-math-5876 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 1270159117463,
"load_duration": 3081118415,
"prompt_eval_count": 9889,
"prompt_eval_duration": 14850133408,
"eval_count": 10824,
"eval_duration": 1244484149604,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 16,
"initial_chunk_count": 16,
"request_count... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0543103004070695,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.04808333333333333,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-5876", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 18399, "pilot_stream_index": 5876, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
be32c0306dff98a0c823e8c7 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете интеграла \\( \\int \\frac{1}{x^{2008} + x} \\, dx \\)."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да пресметна интеграла ∫1/(... | bg | Bulgarian | nemotron-math-6376 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 151766931739,
"load_duration": 654221473,
"prompt_eval_count": 1922,
"prompt_eval_duration": 2546019309,
"eval_count": 2025,
"eval_duration": 147395198661,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 3,
"initial_chunk_count": 3,
"request_count": 3,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0550052137643378,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.2737407656145064,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-6376", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3621, "pilot_stream_index": 6376, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
bcec1653dca041df9d376dba | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете $\\sum_{k=0}^{\\infty} \\frac{(2k+1)\\binom{2k}{k}}{5^{k}}$."
},
{
"role": "assistant",
"content": "<think>\nДобре, нека видим. Трябва да пресмет... | bg | Bulgarian | nemotron-math-6397 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 281372830321,
"load_duration": 1870571089,
"prompt_eval_count": 3967,
"prompt_eval_duration": 5164441153,
"eval_count": 3755,
"eval_duration": 272222340791,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 8,
"initial_chunk_count": 8,
"request_count": 8,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.056295297488623,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.37316094516272846,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-6397", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 4340, "pilot_stream_index": 6397, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
0acff447d00fb9050534db00 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nКомпютърен вирус започва, като заразява едно устройство. Всяка секунда, заразеният компютър има $\\frac{7}{30}$ шанс да остане заразен и да не прави нищо друго, $\\frac{... | bg | Bulgarian | nemotron-math-655 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 698064507102,
"load_duration": 2205984615,
"prompt_eval_count": 7770,
"prompt_eval_duration": 10194440344,
"eval_count": 9295,
"eval_duration": 680624838166,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 10,
"initial_chunk_count": 10,
"request_count": ... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.061429109395594,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.08375,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-655", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 19396, "pilot_stream_index": 655, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
740e5a756a19d087eabb985f | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека $ABCD$ е равнобедрен трапец с диагонал $AC$ с дължина $k$ и $\\widehat{CAB} = 45^\\circ$. Намерете лицето на трапеца по отношение на $k$. Обобщете задачата за всичк... | bg | Bulgarian | nemotron-math-6647 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 396127261073,
"load_duration": 1384412520,
"prompt_eval_count": 4836,
"prompt_eval_duration": 6351442982,
"eval_count": 5257,
"eval_duration": 385434082927,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 6,
"initial_chunk_count": 6,
"request_count": 6,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0368820968155041,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3109803314232616,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-6647", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 9475, "pilot_stream_index": 6647, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
730debc47b644e59cf1d4ea0 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nАко $n$ е броят на положителните цели решения на $a + b + c + d + e = 12$, а $m$ е броят на неотрицателните цели решения на $f + g + h = 15$, намерете $n + m$."
},
{... | bg | Bulgarian | nemotron-math-6769 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 83250801318,
"load_duration": 567952442,
"prompt_eval_count": 1104,
"prompt_eval_duration": 1415300247,
"eval_count": 1113,
"eval_duration": 80636571099,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.037590579710145,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.26084750063435674,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-6769", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1928, "pilot_stream_index": 6769, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
ecc0bc4aa3a77d215a3f6757 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПо колко начина могат да бъдат разпределени 14 учители в 4 различни училища, така че всяко училище да има поне двама учители?"
},
{
"role": "assistant",
"con... | bg | Bulgarian | nemotron-math-68 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1058951548281,
"load_duration": 5162881676,
"prompt_eval_count": 13161,
"prompt_eval_duration": 17360653899,
"eval_count": 14117,
"eval_duration": 1028536909317,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 22,
"initial_chunk_count": 20,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0926863398773512,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.009666666666666667,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-68", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 22102, "pilot_stream_index": 68, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "ve... |
d40e96b8f1c74334583ed994 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nВ $\\triangle ABC$ с $AB=3$, $AC=5$ и $BC=7$, нека линията $l$ е ъглополовящата на $\\angle BAC$. Точките $M$ и $N$ лежат на линията $l$, така че $CN \\perp NA$ и $BM \\... | bg | Bulgarian | nemotron-math-7335 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 406393369485,
"load_duration": 2180987960,
"prompt_eval_count": 5357,
"prompt_eval_duration": 7174506135,
"eval_count": 5408,
"eval_duration": 394026242148,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 9,
"initial_chunk_count": 9,
"request_count": 9,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.084525217765351,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3409076523830622,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-7335", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 7530, "pilot_stream_index": 7335, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
dacb77ae29af997617279d9f | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nОпределете дали съществуват две положителни цели числа $a$ и $b$, такива че всички членове на следната последователност да са положителни цели числа:\n\\[ x_1 = 2010, \\... | bg | Bulgarian | nemotron-math-7354 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1240747175486,
"load_duration": 6448333682,
"prompt_eval_count": 16723,
"prompt_eval_duration": 21139610987,
"eval_count": 16585,
"eval_duration": 1203767776433,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 29,
"initial_chunk_count": 29,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0915362904630823,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3745,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-7354", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 26489, "pilot_stream_index": 7354, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
8bb0543f1f44cc2504a0d048 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен вътре в \\boxed{}.\n\nВъзможно ли е да намерим четири последователности от реални числа $\\{a_n\\}_{n=1}^{\\infty}$, $\\{b_n\\}_{n=1}^{\\infty}$, $\\{c_n\\}_{n=1}^{\\infty}$ и $\\{d_n\\... | bg | Bulgarian | nemotron-math-7471 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1238650322821,
"load_duration": 3839496338,
"prompt_eval_count": 14720,
"prompt_eval_duration": 19375413852,
"eval_count": 16451,
"eval_duration": 1206133340435,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 16,
"initial_chunk_count": 16,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0972483389745518,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.20283333333333334,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-7471", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 31478, "pilot_stream_index": 7471, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
69262fdba459b9ceffccb523 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНека $\\beta$ е примитивен $n$-ти корен на единицата. Да предположим, че полиномът:\n$$1 + x + x^2 + \\dots + x^{n-1}$$\nе неразложим над $GF(2)$. Намерете минималния по... | bg | Bulgarian | nemotron-math-7898 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 192420404633,
"load_duration": 399569598,
"prompt_eval_count": 2175,
"prompt_eval_duration": 2888405614,
"eval_count": 2544,
"eval_duration": 187702677962,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0164066269905099,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.22207097715119106,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-7898", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 5079, "pilot_stream_index": 7898, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
af673844dea9e6826b978b45 | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nОпределете дали съществуват цели числа \\( x \\) и \\( y \\), такива че \\( x^2 + y^3 \\equiv 6 \\pmod{8} \\)."
},
{
"role": "assistant",
"content": "<think>... | bg | Bulgarian | nemotron-math-8180 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 186311506194,
"load_duration": 774383500,
"prompt_eval_count": 1739,
"prompt_eval_duration": 2616207622,
"eval_count": 1631,
"eval_duration": 181942241106,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 4,
"initial_chunk_count": 4,
"request_count": 4,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0846793930494372,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.43875685557586835,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-8180", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1834, "pilot_stream_index": 8180, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
62a97f3431db809ebbf723da | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете интеграла $\\int_{0}^{\\infty}\\frac{1}{1 + t^{2}}dt$."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да пресметна интеграла от 0 ... | bg | Bulgarian | nemotron-math-8318 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 39184849811,
"load_duration": 233208376,
"prompt_eval_count": 484,
"prompt_eval_duration": 631653978,
"eval_count": 525,
"eval_duration": 38009113723,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0794192997438088,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.18667963052989792,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-8318", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 986, "pilot_stream_index": 8318, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "ve... |
7a157225820b4acfce13c89c | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете интеграла $\\displaystyle \\int\\frac{e^{2x}}{\\sqrt{e^x+a}\\sqrt{e^x+b}}dx$."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да ре... | bg | Bulgarian | nemotron-math-8375 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 455506101896,
"load_duration": 1377427988,
"prompt_eval_count": 5728,
"prompt_eval_duration": 7560918515,
"eval_count": 6038,
"eval_duration": 443142213546,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 6,
"initial_chunk_count": 6,
"request_count": 6,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.024744918454246,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.4136695604244178,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-8375", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 10749, "pilot_stream_index": 8375, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
c03a9913a68ec0ad7308211f | [
{
"role": "user",
"content": "Решете следната математическа задача. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете остатъка при делението на числото 44444444444444 (което се състои от 14 цифри 4) на 7."
},
{
"role": "assistant",
"content": "<think>\nДобре, така ч... | bg | Bulgarian | nemotron-math-8862 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | gemma4:31b | faithful_trace_translation | {
"total_duration": 606605328473,
"load_duration": 2316935181,
"prompt_eval_count": 5342,
"prompt_eval_duration": 7744773199,
"eval_count": 5227,
"eval_duration": 592886656812,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 12,
"initial_chunk_count": 12,
"request_count": 1... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0565589980224126,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.28177842565597666,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-8862", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 6650, "pilot_stream_index": 8862, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
09e283372e8904215b341b68 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nЗапишете рекурсивна формула за последователността 3, 3(sqrt{3}), 9, 9(sqrt{3}), ..."
},
{
"role": "assistant",
"content": "<think>\nДобре, нека да видим. Тря... | bg | Bulgarian | nemotron-math-9059 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 180165991103,
"load_duration": 936161906,
"prompt_eval_count": 2407,
"prompt_eval_duration": 3266514059,
"eval_count": 2396,
"eval_duration": 174603001781,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 4,
"initial_chunk_count": 4,
"request_count": 4,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0525070955534532,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.19526551503518874,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-9059", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 3805, "pilot_stream_index": 9059, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "v... |
d6dbf6964ff263049a70007b | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nПресметнете границата:\n\\[ L = \\lim_{n\\to \\infty} \\frac{3^{3n} \\binom{2n}{n}^2}{\\binom{3n}{n} \\binom{6n}{3n}}. \\]"
},
{
"role": "assistant",
"conten... | bg | Bulgarian | nemotron-math-9271 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 1468556755805,
"load_duration": 9584623422,
"prompt_eval_count": 20354,
"prompt_eval_duration": 25859357734,
"eval_count": 19562,
"eval_duration": 1422060688439,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 38,
"initial_chunk_count": 33,
"request_coun... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0652506301913303,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.45266666666666666,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-9271", "license": "cc-by-4.0", "pilot_length_stratum": "gte-20k", "pilot_reasoning_chars": 22647, "pilot_stream_index": 9271, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
31e6628c199c14e4580dc3f9 | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nРешете обикновеното диференциално уравнение:\n\\[ x(t) = \\sqrt{1 + (x'(t))^2} \\]"
},
{
"role": "assistant",
"content": "<think>\nДобре, значи имам това диф... | bg | Bulgarian | nemotron-math-982 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 573665327116,
"load_duration": 2123710488,
"prompt_eval_count": 7119,
"prompt_eval_duration": 9091136017,
"eval_count": 7628,
"eval_duration": 558186668920,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 8,
"initial_chunk_count": 6,
"request_count": 9,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0799450151931702,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3315,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-982", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 12541, "pilot_stream_index": 982, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
43bcc04306e8cb9915395bfb | [
{
"role": "user",
"content": "Решете следния математически проблем. Уверете се, че отговорът (и само отговорът) е поставен в \\boxed{}.\n\nНамерете разлагането на Кантор на 23."
},
{
"role": "assistant",
"content": "<think>\nДобре, трябва да намеря разлагането на Кантор на 23. Хм, спомням си, че... | bg | Bulgarian | nemotron-math-9894 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 380217439578,
"load_duration": 1770560788,
"prompt_eval_count": 4738,
"prompt_eval_duration": 6305255654,
"eval_count": 5064,
"eval_duration": 369306186488,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 8,
"initial_chunk_count": 8,
"request_count": 8,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0674994751207223,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.17110067814293167,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-9894", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 8337, "pilot_stream_index": 9894, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", "... |
af46973ff1473f1c02ea373d | [
{
"role": "user",
"content": "Riješite sljedeći matematički zadatak. Obavezno stavite odgovor (i samo odgovor) unutar \\boxed{}.\n\nPojednostavite: $(\\sqrt{5})^4$."
},
{
"role": "assistant",
"content": "<think>\nDobro, trebam pojednostaviti (√5)^4. Hmm, razmislit ću. Sjećam se da, kada imate ko... | bs | Bosnian | nemotron-math-10099 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 50945110969,
"load_duration": 196910165,
"prompt_eval_count": 682,
"prompt_eval_duration": 915647027,
"eval_count": 678,
"eval_duration": 49430296816,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 1,
"initial_chunk_count": 1,
"request_count": 1,
"ada... | {
"accepted": true,
"reasons": [],
"language_confidence": 0.9999999999999999,
"length_ratio": 1.035405192761605,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.13766233766233765,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-10099", "license": "cc-by-4.0", "pilot_length_stratum": "lt-2k", "pilot_reasoning_chars": 1136, "pilot_stream_index": 10099, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
37e1546aea1b6c2f7b73b6ee | [
{
"role": "user",
"content": "Riješite sljedeći matematički zadatak. Obavezno stavite odgovor (i samo odgovor) unutar \\boxed{}.\n\nPronađite sve funkcije \\( f: \\mathbb{R}^+ \\to \\mathbb{R}^+ \\) koje zadovoljavaju za sve \\( x, y \\in \\mathbb{R}^+ \\),\n\\[ f(x^3 + y) = f(x)^3 + \\frac{f(xy)}{f(x)}. \\... | bs | Bosnian | nemotron-math-10821 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 705408034945,
"load_duration": 3264545222,
"prompt_eval_count": 9205,
"prompt_eval_duration": 11949939047,
"eval_count": 9384,
"eval_duration": 684748096799,
"done_reason": "stop",
"host": "http://127.0.0.1:11435",
"chunk_count": 13,
"initial_chunk_count": 11,
"request_count": ... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 1.0747628490272791,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.201,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-10821", "license": "cc-by-4.0", "pilot_length_stratum": "10k-20k", "pilot_reasoning_chars": 16981, "pilot_stream_index": 10821, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano... |
db964c6de171dfdd4c65f733 | [
{
"role": "user",
"content": "Riješite sljedeći matematički zadatak. Obavezno stavite odgovor (i samo odgovor) unutar \\boxed{}.\n\nZa jednadžbu \\(x^2 + 4x + y^2 + 6y = -12\\), pronađite centar kruga."
},
{
"role": "assistant",
"content": "<think>\nDobro, pogledajmo. Moram pronaći centar kruga ... | bs | Bosnian | nemotron-math-10952 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 90845420480,
"load_duration": 488164438,
"prompt_eval_count": 1200,
"prompt_eval_duration": 1656354302,
"eval_count": 1204,
"eval_duration": 88013226115,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 2,
"initial_chunk_count": 2,
"request_count": 2,
"... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 0.9979822437449556,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.16169648774022533,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-10952", "license": "cc-by-4.0", "pilot_length_stratum": "2k-5k", "pilot_reasoning_chars": 2255, "pilot_stream_index": 10952, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano", ... |
56a566da70fc4f7181f16525 | [
{
"role": "user",
"content": "Riješite sljedeći matematički zadatak. Obavezno stavite odgovor (i samo odgovor) unutar \\boxed{}.\n\nNeka $z = z(x, y)$ bude implicitna funkcija definirana jednadžbom $3e^z + z^3 = x - y + f(x^2y^2, e^{1+2xy})$, gdje je $f$ diferencijabilna funkcija. Odredite izraz za $A = x \... | bs | Bosnian | nemotron-math-11073 | nvidia/Llama-Nemotron-Post-Training-Dataset | SFT | math | cc-by-4.0 | translategemma:27b | faithful_trace_translation | {
"total_duration": 255595835443,
"load_duration": 936545759,
"prompt_eval_count": 3404,
"prompt_eval_duration": 4571846758,
"eval_count": 3388,
"eval_duration": 248227234689,
"done_reason": "stop",
"host": "http://127.0.0.1:11434",
"chunk_count": 4,
"initial_chunk_count": 4,
"request_count": 4,
... | {
"accepted": true,
"reasons": [],
"language_confidence": 1,
"length_ratio": 0.9785056294779939,
"preserved_token_ratio": 1,
"source_copy_ratio": 0.3380847603558787,
"unexpected_scripts": [],
"expected_script_present": true
} | {"category": "math", "generator": "Qwen-2.5-32B-Instruct, DeepSeek-R1", "id": "nemotron-math-11073", "license": "cc-by-4.0", "pilot_length_stratum": "5k-10k", "pilot_reasoning_chars": 5286, "pilot_stream_index": 11073, "reasoning": "on", "system_prompt": "detailed thinking on", "used_in_training": "Ultra, Super, Nano",... |
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