Datasets:
messages listlengths 2 2 | task stringclasses 7
values | meta unknown |
|---|---|---|
[
{
"role": "user",
"content": "2444 months after January is"
},
{
"role": "assistant",
"content": "May"
}
] | months | {
"start_month": "January",
"offset": 604,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "35 * 11 = ?"
},
{
"role": "assistant",
"content": "425"
}
] | multiplication | {
"a": 23,
"b": 7,
"digits": 2,
"base": 6
} |
[
{
"role": "user",
"content": "What is 434 times 135?"
},
{
"role": "assistant",
"content": "113202"
}
] | multiplication | {
"a": 166,
"b": 59,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "2111 months before June is"
},
{
"role": "assistant",
"content": "November"
}
] | months | {
"start_month": "June",
"offset": 475,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "If it is 5:00 now, what time is it in 4055 hours?"
},
{
"role": "assistant",
"content": "24"
}
] | hour_24 | {
"start_hour": 5,
"offset": 899,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "What is the remainder when 24052 is divided by 2?"
},
{
"role": "assistant",
"content": "0"
}
] | mod | {
"n": 3488,
"k": 2,
"base": 6
} |
[
{
"role": "user",
"content": "412 + 145"
},
{
"role": "assistant",
"content": "1001"
}
] | addition | {
"a": 152,
"b": 65,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What hour is it 125 hours after 4:00 (24-hour clock)?"
},
{
"role": "assistant",
"content": "13"
}
] | hour_24 | {
"start_hour": 4,
"offset": 53,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "3055 hours after 5:00 is"
},
{
"role": "assistant",
"content": "24"
}
] | hour_24 | {
"start_hour": 5,
"offset": 683,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "Add 1341 and 1141."
},
{
"role": "assistant",
"content": "2522"
}
] | addition | {
"a": 349,
"b": 277,
"digits": 4,
"base": 6
} |
[
{
"role": "user",
"content": "If today is Monday, what day is it 251 days from now?"
},
{
"role": "assistant",
"content": "Saturday"
}
] | days_of_week | {
"start_day": "Monday",
"offset": 103,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "If it is 25:00 now, what time is it in 3342 hours?"
},
{
"role": "assistant",
"content": "11"
}
] | hour_24 | {
"start_hour": 17,
"offset": 782,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "Multiply 233 by 205."
},
{
"role": "assistant",
"content": "53053"
}
] | multiplication | {
"a": 93,
"b": 77,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "1210 hours before 14 o'clock is"
},
{
"role": "assistant",
"content": "4"
}
] | hour_12 | {
"start_hour": 10,
"offset": 294,
"direction": "before",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "What is 25303 mod 10?"
},
{
"role": "assistant",
"content": "3"
}
] | mod | {
"n": 3783,
"k": 6,
"base": 6
} |
[
{
"role": "user",
"content": "515 * 550 = ?"
},
{
"role": "assistant",
"content": "505410"
}
] | multiplication | {
"a": 191,
"b": 210,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "If today is Saturday, what day was it 1150 days ago?"
},
{
"role": "assistant",
"content": "Thursday"
}
] | days_of_week | {
"start_day": "Saturday",
"offset": 282,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "3541 + 4522 = ?"
},
{
"role": "assistant",
"content": "12503"
}
] | addition | {
"a": 853,
"b": 1058,
"digits": 4,
"base": 6
} |
[
{
"role": "user",
"content": "54 * 45 = ?"
},
{
"role": "assistant",
"content": "4322"
}
] | multiplication | {
"a": 34,
"b": 29,
"digits": 2,
"base": 6
} |
[
{
"role": "user",
"content": "What is the remainder when 21200 is divided by 11?"
},
{
"role": "assistant",
"content": "3"
}
] | mod | {
"n": 2880,
"k": 7,
"base": 6
} |
[
{
"role": "user",
"content": "If today is Saturday, what day was it 3444 days ago?"
},
{
"role": "assistant",
"content": "Friday"
}
] | days_of_week | {
"start_day": "Saturday",
"offset": 820,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "What hour is it 1543 hours after 20 o'clock?"
},
{
"role": "assistant",
"content": "3"
}
] | hour_12 | {
"start_hour": 12,
"offset": 423,
"direction": "after",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "What is 554 times 112?"
},
{
"role": "assistant",
"content": "111332"
}
] | multiplication | {
"a": 214,
"b": 44,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "133 x 522"
},
{
"role": "assistant",
"content": "123110"
}
] | multiplication | {
"a": 57,
"b": 194,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What is 51 times 33?"
},
{
"role": "assistant",
"content": "3003"
}
] | multiplication | {
"a": 31,
"b": 21,
"digits": 2,
"base": 6
} |
[
{
"role": "user",
"content": "545 + 441 = ?"
},
{
"role": "assistant",
"content": "1430"
}
] | addition | {
"a": 209,
"b": 169,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "Add 5254 and 1345."
},
{
"role": "assistant",
"content": "11043"
}
] | addition | {
"a": 1186,
"b": 353,
"digits": 4,
"base": 6
} |
[
{
"role": "user",
"content": "What day is 4335 days before Tuesday?"
},
{
"role": "assistant",
"content": "Monday"
}
] | days_of_week | {
"start_day": "Tuesday",
"offset": 995,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "Add 440 and 402."
},
{
"role": "assistant",
"content": "1242"
}
] | addition | {
"a": 168,
"b": 146,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "542 x 144"
},
{
"role": "assistant",
"content": "141012"
}
] | multiplication | {
"a": 206,
"b": 64,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What is 510 times 341?"
},
{
"role": "assistant",
"content": "310310"
}
] | multiplication | {
"a": 186,
"b": 133,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "143 + 411 = ?"
},
{
"role": "assistant",
"content": "554"
}
] | addition | {
"a": 63,
"b": 151,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What is the remainder when 20410 is divided by 3?"
},
{
"role": "assistant",
"content": "0"
}
] | mod | {
"n": 2742,
"k": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What is 103452 mod 2?"
},
{
"role": "assistant",
"content": "0"
}
] | mod | {
"n": 8600,
"k": 2,
"base": 6
} |
[
{
"role": "user",
"content": "25452 % 10 = ?"
},
{
"role": "assistant",
"content": "2"
}
] | mod | {
"n": 3848,
"k": 6,
"base": 6
} |
[
{
"role": "user",
"content": "What month is 4 months after January?"
},
{
"role": "assistant",
"content": "May"
}
] | months | {
"start_month": "January",
"offset": 4,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "Add 5012 and 5542."
},
{
"role": "assistant",
"content": "14554"
}
] | addition | {
"a": 1088,
"b": 1286,
"digits": 4,
"base": 6
} |
[
{
"role": "user",
"content": "124 + 543"
},
{
"role": "assistant",
"content": "1111"
}
] | addition | {
"a": 52,
"b": 207,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What hour is it 133 hours after 2 o'clock?"
},
{
"role": "assistant",
"content": "15"
}
] | hour_12 | {
"start_hour": 2,
"offset": 57,
"direction": "after",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "If today is Friday, what day is it 2103 days from now?"
},
{
"role": "assistant",
"content": "Sunday"
}
] | days_of_week | {
"start_day": "Friday",
"offset": 471,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "What day is 1135 days before Sunday?"
},
{
"role": "assistant",
"content": "Friday"
}
] | days_of_week | {
"start_day": "Sunday",
"offset": 275,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "What is 5452 plus 2445?"
},
{
"role": "assistant",
"content": "12341"
}
] | addition | {
"a": 1256,
"b": 605,
"digits": 4,
"base": 6
} |
[
{
"role": "user",
"content": "221 days after Saturday is"
},
{
"role": "assistant",
"content": "Sunday"
}
] | days_of_week | {
"start_day": "Saturday",
"offset": 85,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "If today is Tuesday, what day was it 3324 days ago?"
},
{
"role": "assistant",
"content": "Sunday"
}
] | days_of_week | {
"start_day": "Tuesday",
"offset": 772,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "1452 hours before 3:00 is"
},
{
"role": "assistant",
"content": "31"
}
] | hour_24 | {
"start_hour": 3,
"offset": 392,
"direction": "before",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "2330 days after Sunday is"
},
{
"role": "assistant",
"content": "Friday"
}
] | days_of_week | {
"start_day": "Sunday",
"offset": 558,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "What is the remainder when 40143 is divided by 14?"
},
{
"role": "assistant",
"content": "11"
}
] | mod | {
"n": 5247,
"k": 10,
"base": 6
} |
[
{
"role": "user",
"content": "What hour is it 3340 hours after 14:00 (24-hour clock)?"
},
{
"role": "assistant",
"content": "34"
}
] | hour_24 | {
"start_hour": 10,
"offset": 780,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "0 months after October is"
},
{
"role": "assistant",
"content": "October"
}
] | months | {
"start_month": "October",
"offset": 0,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "If the clock shows 10 o'clock, what will it show in 3303 hours?"
},
{
"role": "assistant",
"content": "13"
}
] | hour_12 | {
"start_hour": 6,
"offset": 759,
"direction": "after",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "2151 hours before 10:00 is"
},
{
"role": "assistant",
"content": "15"
}
] | hour_24 | {
"start_hour": 6,
"offset": 499,
"direction": "before",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "If the clock shows 12 o'clock, what did it show 350 hours ago?"
},
{
"role": "assistant",
"content": "2"
}
] | hour_12 | {
"start_hour": 8,
"offset": 138,
"direction": "before",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "What is 10 plus 24?"
},
{
"role": "assistant",
"content": "34"
}
] | addition | {
"a": 6,
"b": 16,
"digits": 2,
"base": 6
} |
[
{
"role": "user",
"content": "What month is 4211 months after October?"
},
{
"role": "assistant",
"content": "May"
}
] | months | {
"start_month": "October",
"offset": 943,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "2004 hours after 15:00 is"
},
{
"role": "assistant",
"content": "23"
}
] | hour_24 | {
"start_hour": 11,
"offset": 436,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "What is the remainder when 3000 is divided by 11?"
},
{
"role": "assistant",
"content": "4"
}
] | mod | {
"n": 648,
"k": 7,
"base": 6
} |
[
{
"role": "user",
"content": "What is 551 plus 542?"
},
{
"role": "assistant",
"content": "1533"
}
] | addition | {
"a": 211,
"b": 206,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What is 504 times 443?"
},
{
"role": "assistant",
"content": "401400"
}
] | multiplication | {
"a": 184,
"b": 171,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "If it is 10:00 now, what time was it 4033 hours ago?"
},
{
"role": "assistant",
"content": "13"
}
] | hour_24 | {
"start_hour": 6,
"offset": 885,
"direction": "before",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "1004 days after Saturday is"
},
{
"role": "assistant",
"content": "Tuesday"
}
] | days_of_week | {
"start_day": "Saturday",
"offset": 220,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "3502 hours after 3 o'clock is"
},
{
"role": "assistant",
"content": "5"
}
] | hour_12 | {
"start_hour": 3,
"offset": 830,
"direction": "after",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "3251 months before October is"
},
{
"role": "assistant",
"content": "March"
}
] | months | {
"start_month": "October",
"offset": 751,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "If it is 20:00 now, what time is it in 2023 hours?"
},
{
"role": "assistant",
"content": "3"
}
] | hour_24 | {
"start_hour": 12,
"offset": 447,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "2112 days before Sunday is"
},
{
"role": "assistant",
"content": "Sunday"
}
] | days_of_week | {
"start_day": "Sunday",
"offset": 476,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "If it is 21:00 now, what time is it in 45 hours?"
},
{
"role": "assistant",
"content": "30"
}
] | hour_24 | {
"start_hour": 13,
"offset": 29,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "Multiply 441 by 440."
},
{
"role": "assistant",
"content": "335240"
}
] | multiplication | {
"a": 169,
"b": 168,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "450 hours after 11 o'clock is"
},
{
"role": "assistant",
"content": "1"
}
] | hour_12 | {
"start_hour": 7,
"offset": 174,
"direction": "after",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "Add 545 and 131."
},
{
"role": "assistant",
"content": "1120"
}
] | addition | {
"a": 209,
"b": 55,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What is 2254 plus 1530?"
},
{
"role": "assistant",
"content": "4224"
}
] | addition | {
"a": 538,
"b": 414,
"digits": 4,
"base": 6
} |
[
{
"role": "user",
"content": "214 * 334 = ?"
},
{
"role": "assistant",
"content": "121204"
}
] | multiplication | {
"a": 82,
"b": 130,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "If it is 33:00 now, what time is it in 2544 hours?"
},
{
"role": "assistant",
"content": "21"
}
] | hour_24 | {
"start_hour": 21,
"offset": 640,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "21532 % 2 = ?"
},
{
"role": "assistant",
"content": "0"
}
] | mod | {
"n": 3008,
"k": 2,
"base": 6
} |
[
{
"role": "user",
"content": "Multiply 24 by 34."
},
{
"role": "assistant",
"content": "1344"
}
] | multiplication | {
"a": 16,
"b": 22,
"digits": 2,
"base": 6
} |
[
{
"role": "user",
"content": "What is 305 times 133?"
},
{
"role": "assistant",
"content": "45453"
}
] | multiplication | {
"a": 113,
"b": 57,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "2200 days before Friday is"
},
{
"role": "assistant",
"content": "Friday"
}
] | days_of_week | {
"start_day": "Friday",
"offset": 504,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "If the clock shows 12 o'clock, what did it show 3545 hours ago?"
},
{
"role": "assistant",
"content": "3"
}
] | hour_12 | {
"start_hour": 8,
"offset": 857,
"direction": "before",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "24501 % 2 = ?"
},
{
"role": "assistant",
"content": "1"
}
] | mod | {
"n": 3637,
"k": 2,
"base": 6
} |
[
{
"role": "user",
"content": "If it is March now, what month was it 3141 months ago?"
},
{
"role": "assistant",
"content": "February"
}
] | months | {
"start_month": "March",
"offset": 709,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "What is 332 plus 314?"
},
{
"role": "assistant",
"content": "1050"
}
] | addition | {
"a": 128,
"b": 118,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "What is the remainder when 104023 is divided by 3?"
},
{
"role": "assistant",
"content": "0"
}
] | mod | {
"n": 8655,
"k": 3,
"base": 6
} |
[
{
"role": "user",
"content": "If today is Thursday, what day was it 3520 days ago?"
},
{
"role": "assistant",
"content": "Thursday"
}
] | days_of_week | {
"start_day": "Thursday",
"offset": 840,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "What hour is it 1442 hours after 23:00 (24-hour clock)?"
},
{
"role": "assistant",
"content": "25"
}
] | hour_24 | {
"start_hour": 15,
"offset": 386,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "If it is September now, what month will it be in 455 months?"
},
{
"role": "assistant",
"content": "August"
}
] | months | {
"start_month": "September",
"offset": 179,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "What is the remainder when 50353 is divided by 14?"
},
{
"role": "assistant",
"content": "1"
}
] | mod | {
"n": 6621,
"k": 10,
"base": 6
} |
[
{
"role": "user",
"content": "What is 101524 mod 10?"
},
{
"role": "assistant",
"content": "4"
}
] | mod | {
"n": 8188,
"k": 6,
"base": 6
} |
[
{
"role": "user",
"content": "531 + 254 = ?"
},
{
"role": "assistant",
"content": "1225"
}
] | addition | {
"a": 199,
"b": 106,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "54 x 54"
},
{
"role": "assistant",
"content": "5204"
}
] | multiplication | {
"a": 34,
"b": 34,
"digits": 2,
"base": 6
} |
[
{
"role": "user",
"content": "What is the remainder when 110531 is divided by 10?"
},
{
"role": "assistant",
"content": "1"
}
] | mod | {
"n": 9271,
"k": 6,
"base": 6
} |
[
{
"role": "user",
"content": "What is 11210 mod 14?"
},
{
"role": "assistant",
"content": "0"
}
] | mod | {
"n": 1590,
"k": 10,
"base": 6
} |
[
{
"role": "user",
"content": "53122 % 10 = ?"
},
{
"role": "assistant",
"content": "2"
}
] | mod | {
"n": 7178,
"k": 6,
"base": 6
} |
[
{
"role": "user",
"content": "What hour is it 2020 hours before 11 o'clock?"
},
{
"role": "assistant",
"content": "11"
}
] | hour_12 | {
"start_hour": 7,
"offset": 444,
"direction": "before",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "2032 hours after 0:00 is"
},
{
"role": "assistant",
"content": "32"
}
] | hour_24 | {
"start_hour": 0,
"offset": 452,
"direction": "after",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "What hour is it 4101 hours before 20 o'clock?"
},
{
"role": "assistant",
"content": "15"
}
] | hour_12 | {
"start_hour": 12,
"offset": 901,
"direction": "before",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "4403 + 2254"
},
{
"role": "assistant",
"content": "11101"
}
] | addition | {
"a": 1011,
"b": 538,
"digits": 4,
"base": 6
} |
[
{
"role": "user",
"content": "3303 months before September is"
},
{
"role": "assistant",
"content": "June"
}
] | months | {
"start_month": "September",
"offset": 759,
"direction": "before",
"base": 6
} |
[
{
"role": "user",
"content": "515 hours before 13:00 is"
},
{
"role": "assistant",
"content": "14"
}
] | hour_24 | {
"start_hour": 9,
"offset": 191,
"direction": "before",
"base": 6,
"clock": 24
} |
[
{
"role": "user",
"content": "533 hours after 5 o'clock is"
},
{
"role": "assistant",
"content": "2"
}
] | hour_12 | {
"start_hour": 5,
"offset": 201,
"direction": "after",
"base": 6,
"clock": 12
} |
[
{
"role": "user",
"content": "What day is 1353 days after Tuesday?"
},
{
"role": "assistant",
"content": "Tuesday"
}
] | days_of_week | {
"start_day": "Tuesday",
"offset": 357,
"direction": "after",
"base": 6
} |
[
{
"role": "user",
"content": "444 + 505 = ?"
},
{
"role": "assistant",
"content": "1353"
}
] | addition | {
"a": 172,
"b": 185,
"digits": 3,
"base": 6
} |
[
{
"role": "user",
"content": "If the clock shows 13 o'clock, what will it show in 3231 hours?"
},
{
"role": "assistant",
"content": "4"
}
] | hour_12 | {
"start_hour": 9,
"offset": 739,
"direction": "after",
"base": 6,
"clock": 12
} |
End of preview. Expand in Data Studio
Math + Cyclic-Time Synthetic Dataset
Synthetic dataset for training a small (~10M-100M param), task-specialized LLM on arithmetic (addition, multiplication), cyclic time arithmetic (days-of-week, months, 12-hour and 24-hour clock), and mod-k remainder probes — generalization-focused rather than memorization, following on from the T2/T5/T10 modular-circuit discussion. Days-of-week, months, and hours are all instances of the same underlying cyclic/modular-addition structure, rendered as different surface forms.
Generate
python3 generate_math_dataset.py --out data_base10
Key flags: --base (numeral base for rendering numbers, default 10 — use
--base 6 or --base 7 to produce transfer-experiment variants of the same
task distribution once a base-10 model is working), --seed, plus per-task
length/range/count knobs (--add-train-lengths, --mod-n-per-modulus, etc.
— see --help).
Splits
train.jsonl— in-distribution training examples.test_id.jsonl— held-out in-distribution examples (same digit-length / offset / value range as train, but the exact input was never trained on). Deterministic hash-based split (stable_bucket), ~5% of in-range examples, reproducible across runs regardless ofPYTHONHASHSEED.test_ood.jsonl— out-of-distribution examples: longer digit lengths for addition/multiplication, larger offsets for days-of-week, and larger values for mod probes than anything seen in train. Tests whether the model learned the underlying algorithm/circuit vs. memorized surface patterns.
Schema
Each line is a JSON object:
{
"messages": [
{"role": "user", "content": "127 + 489 = ?"},
{"role": "assistant", "content": "616"}
],
"task": "addition",
"meta": {"a": 127, "b": 489, "digits": 3, "base": 10}
}
task is one of addition, multiplication, days_of_week, months,
hour_12, hour_24, mod. meta carries the ground-truth operands so
correctness/leakage can be re-verified without re-parsing the text. All
numbers in the messages text are rendered in the same --base —
including the modulus, day/month offset, and hour — so a --base 6 run is
self-consistent throughout. hour_12 cycles through 1..12 (clock-style, no
zero); hour_24 cycles through 0..23.
Each task has 3-4 paraphrase templates (e.g. "{a} + {b} = ?" vs
"What is {a} plus {b}?") so the model isn't just pattern-matching one
surface form.
Dataset stats by base
data_base10 (--base 10):
train: 60935 addition 11490, multiplication 7708, mod 11383, days_of_week 7576, months 7590, hour_12 7579, hour_24 7609
test_id: 3265 addition 610, multiplication 392, mod 617, days_of_week 424, months 410, hour_12 421, hour_24 391
test_ood: 7800 addition 1000, multiplication 1000, mod 1800, days_of_week 1000, months 1000, hour_12 1000, hour_24 1000
data_base6 (--base 6):
train: 54967 addition 8508, multiplication 4686, mod 11434, days_of_week 7560, months 7589, hour_12 7582, hour_24 7608
test_id: 2905 addition 428, multiplication 250, mod 566, days_of_week 440, months 411, hour_12 418, hour_24 392
test_ood: 7800 addition 1000, multiplication 1000, mod 1800, days_of_week 1000, months 1000, hour_12 1000, hour_24 1000
data_base7 (--base 7):
train: 56583 addition 9323, multiplication 5521, mod 11385, days_of_week 7569, months 7608, hour_12 7580, hour_24 7597
test_id: 3043 addition 490, multiplication 292, mod 615, days_of_week 431, months 392, hour_12 420, hour_24 403
test_ood: 7800 addition 1000, multiplication 1000, mod 1800, days_of_week 1000, months 1000, hour_12 1000, hour_24 1000
Base-6/base-7 have fewer addition/multiplication train examples than base-10 because smaller bases have a smaller unique-operand space at low digit-lengths, so the dedup-based generator hits its attempt cap before reaching the requested count — not an error.
Verified for each base variant: 0 numeric/cyclic-label mismatches, and zero (task, operands) overlap between train/test_id/test_ood.
Not yet done
- No raw-text (pretraining-style) flattening yet — only the chat-message JSONL form; flatten per whatever format nanochat's data loader expects once that's confirmed.
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