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The dataset generation failed
Error code:   DatasetGenerationError
Exception:    TypeError
Message:      Couldn't cast array of type
struct<start: string, offset: int64, direction: string, base: int64, ood: bool>
to
{'start': Value('string'), 'offset': Value('int64'), 'direction': Value('string'), 'base': Value('int64')}
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1827, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2378, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2312, in cast_table_to_schema
                  cast_array_to_feature(
                  ~~~~~~~~~~~~~~~~~~~~~^
                      table[name] if name in table_column_names else pa.array([None] * len(table), type=schema.field(name).type),
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                      feature,
                      ^^^^^^^^
                  )
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 1861, in wrapper
                  return pa.chunked_array([func(chunk, *args, **kwargs) for chunk in array.chunks])
                                           ~~~~^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2158, in cast_array_to_feature
                  raise TypeError(f"Couldn't cast array of type\n{_short_str(array.type)}\nto\n{_short_str(feature)}")
              TypeError: Couldn't cast array of type
              struct<start: string, offset: int64, direction: string, base: int64, ood: bool>
              to
              {'start': Value('string'), 'offset': Value('int64'), 'direction': Value('string'), 'base': Value('int64')}
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1694, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1880, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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messages
list
task
string
meta
dict
[ { "role": "user", "content": "At an old cheese cave, a hot-air balloon pilot has 9 recorded as the present hour. Counting 8 hours back, what hour was that?" }, { "role": "assistant", "content": "9 is position 8 in the 12-hour cycle. That gives 8 - 8 = 0. 0 is already within 12, so mod 12 leaves ...
hour_12
{ "start": "9", "offset": 8, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A tattoo artist, based at a converted grain barge, has the current entry marked August. 10 months before that, what month was it?" }, { "role": "assistant", "content": "August is position 7 in the 12-month cycle. That gives 7 - 10 = -3. Reducing -3 mod 12 gives 9. S...
months
{ "start": "August", "offset": 10, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A taxidermist at a cliffside monastery announces the hour is 1. Fast-forward 4 hours -- what hour lands then?" }, { "role": "assistant", "content": "1 corresponds to position 0 out of 12 hours. Working it out: 0 + 4 = 4. 4 mod 12 = 4. Which means the answer is 5." ...
hour_12
{ "start": "1", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "19 hours past 11 is" }, { "role": "assistant", "content": "19 hours is 1 full cycle of 12 hours, with 7 remaining. Since whole cycles cancel out, moving 7 hours forward from 11 gives 6." } ]
hour_12
{ "start": "11", "offset": 19, "direction": "after", "base": 10 }
[ { "role": "user", "content": "Starting from 3, go back 2 hours. What hour is that?" }, { "role": "assistant", "content": "3 is position 3 in the 24-hour cycle. 3 - 2 = 1. 1 mod 24 is just 1. So the answer is 1." } ]
hour_24
{ "start": "3", "offset": 2, "direction": "before", "base": 10 }
[ { "role": "user", "content": "Starting from Sunday, go back 18 days. What day is that?" }, { "role": "assistant", "content": "(6 - 18) mod 7 = 2, i.e. Wednesday." } ]
days_of_week
{ "start": "Sunday", "offset": 18, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A lighthouse keeper at an island research outpost announces the month is February. 10 months later, what month will it show?" }, { "role": "assistant", "content": "10 months doesn't reach a full 12-month cycle, so it's a direct count. Counting 10 months forward from...
months
{ "start": "February", "offset": 10, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A hot-air balloon pilot at a treehouse library currently has the day logged as Monday. 2 days prior, what day was that?" }, { "role": "assistant", "content": "2 days doesn't reach a full 7-day cycle, so it's a direct count. 2 days back of Monday is Saturday." } ]
days_of_week
{ "start": "Monday", "offset": 2, "direction": "before", "base": 10 }
[ { "role": "user", "content": "At a converted grain barge, a bell-tower ringer marks 13 as the current hour. After 20 hours go by, what hour is it?" }, { "role": "assistant", "content": "13 is position 13 in the 24-hour cycle. 13 + 20 = 33. 33 mod 24 = 9. Which means the answer is 9." } ]
hour_24
{ "start": "13", "offset": 20, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The community-radio host at a mountain pass weigh station currently has the day logged as Saturday. 6 days before that, what day was it?" }, { "role": "assistant", "content": "6 days doesn't reach a full 7-day cycle, so it's a direct count. Counting 6 days back from...
days_of_week
{ "start": "Saturday", "offset": 6, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A new cycle just began at a desert solar array; a comic-book archivist notes it as February. Counting 1 month forward, what month is that?" }, { "role": "assistant", "content": "In the 12-month cycle, February sits at position 1. Working it out: 1 + 1 = 2. 2 mod 12 ...
months
{ "start": "February", "offset": 1, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The aquarium diver checked the calendar at a converted lighthouse keeper's cottage -- today is August. Counting 25 months forward, what month is that?" }, { "role": "assistant", "content": "Counting positions in the 12-month cycle, August is at 7. 7 + 25 = 32. 32 wr...
months
{ "start": "August", "offset": 25, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A paraglider instructor checked the calendar at a subterranean mushroom farm -- today is 9. Counting 9 hours forward, what hour is that?" }, { "role": "assistant", "content": "9 = 8; (8 + 9) mod 12 = 5 -> 6." } ]
hour_12
{ "start": "9", "offset": 9, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The night-market vendor at a desert solar array restarts the day count today, Saturday. If 18 days pass, what day will it be?" }, { "role": "assistant", "content": "Saturday is position 5 in the 7-day cycle. Working it out: 5 + 18 = 23. Reducing 23 mod 7 gives 2. So...
days_of_week
{ "start": "Saturday", "offset": 18, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A new cycle just began at a glacier basecamp; the greenhouse manager notes it as 21. 1 hour later, what hour will it show?" }, { "role": "assistant", "content": "In the 24-hour cycle, 21 sits at position 21. 21 + 1 = 22. 22 mod 24 is just 22. That corresponds to 22....
hour_24
{ "start": "21", "offset": 1, "direction": "after", "base": 10 }
[ { "role": "user", "content": "14 hours past 4 is" }, { "role": "assistant", "content": "Counting positions in the 12-hour cycle, 4 is at 3. Working it out: 3 + 14 = 17. 17 wraps around (mod 12) to 5. Which means the answer is 6." } ]
hour_12
{ "start": "4", "offset": 14, "direction": "after", "base": 10 }
[ { "role": "user", "content": "Add 4 days to Wednesday: what day results?" }, { "role": "assistant", "content": "In the 7-day cycle, Wednesday sits at position 2. 2 + 4 = 6. 6 is already within 7, so mod 7 leaves it at 6. So the answer is Sunday." } ]
days_of_week
{ "start": "Wednesday", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The logbook at a converted grain elevator, kept by the postal worker, currently shows Friday. Going back 22 days, which day do we land on?" }, { "role": "assistant", "content": "Breaking 22 days down: 3 full cycles of 7, plus a 1-day remainder. The full cycles don't...
days_of_week
{ "start": "Friday", "offset": 22, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A wildlife photographer at a rooftop apiary restarts the day count today, Wednesday. Fast-forward 5 days -- what day lands then?" }, { "role": "assistant", "content": "5 days fits inside a single 7-day cycle, so there's no wrap to account for. Moving forward 5 days ...
days_of_week
{ "start": "Wednesday", "offset": 5, "direction": "after", "base": 10 }
[ { "role": "user", "content": "Add 8 months to June: what month results?" }, { "role": "assistant", "content": "mod(5 + 8, 12) = 1 = February." } ]
months
{ "start": "June", "offset": 8, "direction": "after", "base": 10 }
[ { "role": "user", "content": "Given 8, 3 hours later is which hour?" }, { "role": "assistant", "content": "Walking it through one hour at a time from 8: 9, 10, then 11. Ending on 11." } ]
hour_24
{ "start": "8", "offset": 3, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A food-truck owner at a hillside vineyard currently has the month logged as July. 16 months in the past, what month was it?" }, { "role": "assistant", "content": "In the 12-month cycle, July sits at position 6. 6 - 16 = -10. Reducing -10 mod 12 gives 2. Which means ...
months
{ "start": "July", "offset": 16, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The clocktower mechanic, based at a subterranean mushroom farm, just logged today's day: Monday. After 2 days go by, what day is it?" }, { "role": "assistant", "content": "Monday is position 0 in the 7-day cycle. That gives 0 + 2 = 2. 2 is already within 7, so mod 7...
days_of_week
{ "start": "Monday", "offset": 2, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The current cycle at a beekeeping farm is at May, per the clocktower mechanic's notes. What month preceded this by 10 months?" }, { "role": "assistant", "content": "10 is less than the 12-month cycle length, so no wraparound happens yet. Counting 10 months back from...
months
{ "start": "May", "offset": 10, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A glassblower, based at a hot-spring resort, just logged today's hour: 8. Skip ahead 4 hours: what hour is that?" }, { "role": "assistant", "content": "4 hours fits inside a single 24-hour cycle, so there's no wrap to account for. That puts it 4 hours forward of 8: ...
hour_24
{ "start": "8", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "Add 9 days to Saturday: what day results?" }, { "role": "assistant", "content": "Divide 9 by the 7-day cycle: 1 full cycle, remainder 2. Since whole cycles cancel out, moving 2 days forward from Saturday gives Monday." } ]
days_of_week
{ "start": "Saturday", "offset": 9, "direction": "after", "base": 10 }
[ { "role": "user", "content": "What hour is 11 hours before 10?" }, { "role": "assistant", "content": "No full cycle is completed here, since 11 hours is fewer than 12. Moving back 11 hours from 10 reaches 11." } ]
hour_12
{ "start": "10", "offset": 11, "direction": "before", "base": 10 }
[ { "role": "user", "content": "11 hours before 7 is" }, { "role": "assistant", "content": "(7 - 11) mod 24 = 20 = 20." } ]
hour_24
{ "start": "7", "offset": 11, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The logbook at a converted airship hangar, kept by a windmill operator, opens today's entry as Friday. 4 days on, which day is it?" }, { "role": "assistant", "content": "In the 7-day cycle, Friday sits at position 4. That gives 4 + 4 = 8. Reducing 8 mod 7 gives 1. S...
days_of_week
{ "start": "Friday", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The radio DJ, based at a harbor-front warehouse, has the current entry marked 1. What hour was it 6 hours earlier?" }, { "role": "assistant", "content": "No full cycle is completed here, since 6 hours is fewer than 12. 6 hours back of 1 is 7." } ]
hour_12
{ "start": "1", "offset": 6, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A new cycle just began at a floating market; the bakery owner notes it as Saturday. If 5 days pass, what day will it be?" }, { "role": "assistant", "content": "No full cycle is completed here, since 5 days is fewer than 7. Moving forward 5 days from Saturday reaches...
days_of_week
{ "start": "Saturday", "offset": 5, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The archivist at city hall, based at a converted stone windmill, has the current entry marked January. Going back 1 month, which month do we land on?" }, { "role": "assistant", "content": "1 month doesn't reach a full 12-month cycle, so it's a direct count. That put...
months
{ "start": "January", "offset": 1, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A new cycle just began at a botanical conservatory; a hot-air balloon pilot notes it as March. If 5 months pass, what month will it be?" }, { "role": "assistant", "content": "In the 12-month cycle, March sits at position 2. Working it out: 2 + 5 = 7. 7 mod 12 is jus...
months
{ "start": "March", "offset": 5, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The schedule board at a wind farm control shed shows today's hour as 0, according to the crossword editor. After 4 hours go by, what hour is it?" }, { "role": "assistant", "content": "Walking it through one hour at a time from 0: 1, 2, 3, then 4. So it ends up at 4....
hour_24
{ "start": "0", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "At a converted grain silo, the ski-lift operator marks 4 as the current hour. Skip ahead 22 hours: what hour is that?" }, { "role": "assistant", "content": "Divide 22 by the 12-hour cycle: 1 full cycle, remainder 10. Since whole cycles cancel out, moving 10 hours fo...
hour_12
{ "start": "4", "offset": 22, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The origami instructor checked the calendar at a shipping-container studio -- it currently reads 2. Step back 6 hours: what hour was that?" }, { "role": "assistant", "content": "2 corresponds to position 1 out of 12 hours. 1 - 6 = -5. Reducing -5 mod 12 gives 7. Whi...
hour_12
{ "start": "2", "offset": 6, "direction": "before", "base": 10 }
[ { "role": "user", "content": "4 months prior to September is" }, { "role": "assistant", "content": "No full cycle is completed here, since 4 months is fewer than 12. Counting 4 months back from September lands on May." } ]
months
{ "start": "September", "offset": 4, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A cheese-cave affineur at a desert solar array announces the month is August. Fast-forward 1 month -- what month lands then?" }, { "role": "assistant", "content": "In the 12-month cycle, August sits at position 7. Working it out: 7 + 1 = 8. 8 is already within 12, s...
months
{ "start": "August", "offset": 1, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The greenhouse manager at a converted water-mill currently has the day logged as Thursday. What day preceded this by 9 days?" }, { "role": "assistant", "content": "(3 - 9) mod 7 = 1, i.e. Tuesday." } ]
days_of_week
{ "start": "Thursday", "offset": 9, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A new cycle just began at an urban rooftop observatory; the archivist at city hall notes it as 2. Advancing 1 hour, what hour do we reach?" }, { "role": "assistant", "content": "2 -> 1. (1 + 1) mod 12 = 2 -> 3." } ]
hour_12
{ "start": "2", "offset": 1, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A vineyard manager checked the calendar at an alpine cable-car station -- it currently reads 3. Going back 8 hours, which hour do we land on?" }, { "role": "assistant", "content": "8 is less than the 12-hour cycle length, so no wraparound happens yet. Moving back 8 ...
hour_12
{ "start": "3", "offset": 8, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The origami instructor at a decommissioned radio mast confirms the day is presently Sunday. 10 days in the past, what day was it?" }, { "role": "assistant", "content": "In the 7-day cycle, Sunday sits at position 6. Working it out: 6 - 10 = -4. -4 mod 7 = 3. Which m...
days_of_week
{ "start": "Sunday", "offset": 10, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The roller-derby coach checked the calendar at a hillside vineyard -- today is April. Advancing 1 month, what month do we reach?" }, { "role": "assistant", "content": "No full cycle is completed here, since 1 month is fewer than 12. Moving forward 1 month from April...
months
{ "start": "April", "offset": 1, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The logbook at a night market, kept by the aquarium diver, opens today's entry as December. Skip ahead 2 months: what month is that?" }, { "role": "assistant", "content": "2 is less than the 12-month cycle length, so no wraparound happens yet. That puts it 2 months ...
months
{ "start": "December", "offset": 2, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The schedule board at a decommissioned lightship shows today's hour as 21, according to a wildlife photographer. What hour will it be 2 hours from now?" }, { "role": "assistant", "content": "21 is position 21 in the 24-hour cycle. Working it out: 21 + 2 = 23. 23 mod...
hour_24
{ "start": "21", "offset": 2, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The seed-bank curator at a shipping-container studio restarts the month count today, November. What month comes up after 8 more months?" }, { "role": "assistant", "content": "Since 8 months is under the full 12-month cycle, this stays within one pass. 8 months forwa...
months
{ "start": "November", "offset": 8, "direction": "after", "base": 10 }
[ { "role": "user", "content": "7 months prior to July is" }, { "role": "assistant", "content": "7 months fits inside a single 12-month cycle, so there's no wrap to account for. Moving back 7 months from July reaches December." } ]
months
{ "start": "July", "offset": 7, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The violin teacher, based at a rooftop greenhouse, has the current entry marked 7. Counting 6 hours back, what hour was that?" }, { "role": "assistant", "content": "6 is less than the 12-hour cycle length, so no wraparound happens yet. That puts it 6 hours back of 7...
hour_12
{ "start": "7", "offset": 6, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The schedule board at a jungle canopy walkway shows the hour as 16, according to a puppet-theater director. 13 hours in the past, what hour was it?" }, { "role": "assistant", "content": "(16 - 13) mod 24 => 3 => 3." } ]
hour_24
{ "start": "16", "offset": 13, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The aquarium diver at a harbor-front warehouse confirms the month is presently June. What month was it 3 months earlier?" }, { "role": "assistant", "content": "Counting positions in the 12-month cycle, June is at 5. That gives 5 - 3 = 2. 2 mod 12 is just 2. That cor...
months
{ "start": "June", "offset": 3, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A new cycle just began at an urban rooftop observatory; the postal worker notes it as 22. Skip ahead 4 hours: what hour is that?" }, { "role": "assistant", "content": "22 corresponds to position 22 out of 24 hours. Working it out: 22 + 4 = 26. 26 wraps around (mod 2...
hour_24
{ "start": "22", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The crossword editor checked the calendar at an underground archive -- today is Monday. Advancing 9 days, what day do we reach?" }, { "role": "assistant", "content": "mod(0 + 9, 7) = 2 = Wednesday." } ]
days_of_week
{ "start": "Monday", "offset": 9, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The night-market vendor at a harbor-front warehouse confirms the hour is presently 19. What hour was it 7 hours earlier?" }, { "role": "assistant", "content": "Stepping backward 7 hours from 19: 18, 17, 16, ..., 12. That lands on 12." } ]
hour_24
{ "start": "19", "offset": 7, "direction": "before", "base": 10 }
[ { "role": "user", "content": "At a repurposed fire station, a ferry captain has 1 recorded as the present hour. Going back 10 hours, which hour do we land on?" }, { "role": "assistant", "content": "1 is position 0 in the 12-hour cycle. 0 - 10 = -10. -10 wraps around (mod 12) to 2. Which means th...
hour_12
{ "start": "1", "offset": 10, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The logbook at a converted airship hangar, kept by a ferry captain, opens today's entry as 16. What hour will it be 9 hours from now?" }, { "role": "assistant", "content": "16 corresponds to position 16 out of 24 hours. 16 + 9 = 25. 25 mod 24 = 1. That corresponds t...
hour_24
{ "start": "16", "offset": 9, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The schedule board at a subway control room shows today's day as Tuesday, according to a soap maker. Skip ahead 16 days: what day is that?" }, { "role": "assistant", "content": "Counting positions in the 7-day cycle, Tuesday is at 1. That gives 1 + 16 = 17. 17 mod 7...
days_of_week
{ "start": "Tuesday", "offset": 16, "direction": "after", "base": 10 }
[ { "role": "user", "content": "If it is Thursday now, what day will it be in 9 days?" }, { "role": "assistant", "content": "(3 + 9) mod 7 => 5 => Saturday." } ]
days_of_week
{ "start": "Thursday", "offset": 9, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A mushroom forager at an alpine cable-car station confirms the hour is presently 9. Step back 5 hours: what hour was that?" }, { "role": "assistant", "content": "Counting positions in the 12-hour cycle, 9 is at 8. 8 - 5 = 3. 3 is already within 12, so mod 12 leaves ...
hour_12
{ "start": "9", "offset": 5, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The cave-tour guide at a cliffside monastery announces the hour is 8. Counting 8 hours forward, what hour is that?" }, { "role": "assistant", "content": "Counting positions in the 12-hour cycle, 8 is at 7. That gives 7 + 8 = 15. Reducing 15 mod 12 gives 3. Which mea...
hour_12
{ "start": "8", "offset": 8, "direction": "after", "base": 10 }
[ { "role": "user", "content": "If it is October now, what month was it 6 months ago?" }, { "role": "assistant", "content": "October is position 9 in the 12-month cycle. 9 - 6 = 3. 3 is already within 12, so mod 12 leaves it at 3. That corresponds to April." } ]
months
{ "start": "October", "offset": 6, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A mushroom forager at an old cheese cave announces the month is March. After 10 months go by, what month is it?" }, { "role": "assistant", "content": "March = 2; (2 + 10) mod 12 = 0 -> January." } ]
months
{ "start": "March", "offset": 10, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A bell-tower ringer at a fjord-side cabin confirms the month is presently February. 9 months before that, what month was it?" }, { "role": "assistant", "content": "In the 12-month cycle, February sits at position 1. That gives 1 - 9 = -8. -8 mod 12 = 4. That corresp...
months
{ "start": "February", "offset": 9, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The current cycle at an island research outpost is at 4, per a paraglider instructor's notes. Counting 1 hour back, what hour was that?" }, { "role": "assistant", "content": "1 is less than the 12-hour cycle length, so no wraparound happens yet. Moving back 1 hour f...
hour_12
{ "start": "4", "offset": 1, "direction": "before", "base": 10 }
[ { "role": "user", "content": "At a mountain pass weigh station, a board-game cafe owner has December recorded as the present month. Rewinding 8 months, what month was it?" }, { "role": "assistant", "content": "December is position 11 in the 12-month cycle. That gives 11 - 8 = 3. 3 mod 12 = 3. Th...
months
{ "start": "December", "offset": 8, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A paraglider instructor at a lakeside cabin currently has the hour logged as 11. 9 hours before that, what hour was it?" }, { "role": "assistant", "content": "No full cycle is completed here, since 9 hours is fewer than 24. 9 hours back of 11 is 2." } ]
hour_24
{ "start": "11", "offset": 9, "direction": "before", "base": 10 }
[ { "role": "user", "content": "At a cliffside monastery, a wildlife photographer has 6 recorded as the present hour. Which hour was it 18 hours before?" }, { "role": "assistant", "content": "Divide 18 by the 12-hour cycle: 1 full cycle, remainder 6. Since whole cycles cancel out, moving 6 hours b...
hour_12
{ "start": "6", "offset": 18, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The logbook at a decommissioned radio mast, kept by the archivist at city hall, opens today's entry as 3. After 7 hours go by, what hour is it?" }, { "role": "assistant", "content": "(2 + 7) mod 12 = 9 = 10." } ]
hour_12
{ "start": "3", "offset": 7, "direction": "after", "base": 10 }
[ { "role": "user", "content": "At a wind farm control shed, a mushroom forager marks 0 as the current hour. If 22 hours pass, what hour will it be?" }, { "role": "assistant", "content": "22 hours doesn't reach a full 24-hour cycle, so it's a direct count. That puts it 22 hours forward of 0: 22." ...
hour_24
{ "start": "0", "offset": 22, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The seed-bank curator at a puppet theater restarts the hour count today, 8. Skip ahead 16 hours: what hour is that?" }, { "role": "assistant", "content": "Counting positions in the 24-hour cycle, 8 is at 8. Working it out: 8 + 16 = 24. 24 mod 24 = 0. Which means the...
hour_24
{ "start": "8", "offset": 16, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A stunt coordinator at a beekeeping farm confirms the hour is presently 20. Step back 6 hours: what hour was that?" }, { "role": "assistant", "content": "20 is position 20 in the 24-hour cycle. That gives 20 - 6 = 14. 14 mod 24 is just 14. That corresponds to 14." ...
hour_24
{ "start": "20", "offset": 6, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The marina harbormaster checked the calendar at a converted airship hangar -- today is April. 3 months later, what month will it show?" }, { "role": "assistant", "content": "Walking it through one month at a time from April: May, June, then July. Which puts us at Ju...
months
{ "start": "April", "offset": 3, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A competitive rower, based at a beekeeping farm, has the current entry marked 9. 6 hours in the past, what hour was it?" }, { "role": "assistant", "content": "6 hours fits inside a single 12-hour cycle, so there's no wrap to account for. Moving back 6 hours from 9 r...
hour_12
{ "start": "9", "offset": 6, "direction": "before", "base": 10 }
[ { "role": "user", "content": "Given 9, 4 hours later is which hour?" }, { "role": "assistant", "content": "In the 12-hour cycle, 9 sits at position 8. That gives 8 + 4 = 12. 12 wraps around (mod 12) to 0. So the answer is 1." } ]
hour_12
{ "start": "9", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The schedule board at a converted grain silo shows today's hour as 15, according to a falconer. After 3 hours go by, what hour is it?" }, { "role": "assistant", "content": "3 is less than the 24-hour cycle length, so no wraparound happens yet. Counting 3 hours forwa...
hour_24
{ "start": "15", "offset": 3, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The bookmobile driver at a canal-boat repair yard announces the hour is 13. Advancing 20 hours, what hour do we reach?" }, { "role": "assistant", "content": "Counting positions in the 24-hour cycle, 13 is at 13. Working it out: 13 + 20 = 33. 33 wraps around (mod 24)...
hour_24
{ "start": "13", "offset": 20, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The clocktower mechanic, based at a canal-side workshop, has the current entry marked April. What month preceded this by 10 months?" }, { "role": "assistant", "content": "10 is less than the 12-month cycle length, so no wraparound happens yet. Moving back 10 months ...
months
{ "start": "April", "offset": 10, "direction": "before", "base": 10 }
[ { "role": "user", "content": "Given 2, 7 hours later is which hour?" }, { "role": "assistant", "content": "Walking it through one hour at a time from 2: 3, 4, 5, ..., 9. The result is 9." } ]
hour_24
{ "start": "2", "offset": 7, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The current cycle at an urban rooftop observatory is at 12, per a mushroom forager's notes. Which hour was it 16 hours before?" }, { "role": "assistant", "content": "Counting positions in the 24-hour cycle, 12 is at 12. 12 - 16 = -4. -4 mod 24 = 20. That corresponds...
hour_24
{ "start": "12", "offset": 16, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A wildlife photographer at a floating market announces the hour is 20. After 3 hours go by, what hour is it?" }, { "role": "assistant", "content": "Counting positions in the 24-hour cycle, 20 is at 20. Working it out: 20 + 3 = 23. 23 mod 24 = 23. That corresponds to...
hour_24
{ "start": "20", "offset": 3, "direction": "after", "base": 10 }
[ { "role": "user", "content": "What came 8 hours before 22?" }, { "role": "assistant", "content": "Counting positions in the 24-hour cycle, 22 is at 22. Working it out: 22 - 8 = 14. 14 is already within 24, so mod 24 leaves it at 14. Which means the answer is 14." } ]
hour_24
{ "start": "22", "offset": 8, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The logbook at a river ferry dock, kept by a soap maker, opens today's entry as 15. Advancing 13 hours, what hour do we reach?" }, { "role": "assistant", "content": "In the 24-hour cycle, 15 sits at position 15. 15 + 13 = 28. 28 wraps around (mod 24) to 4. So the an...
hour_24
{ "start": "15", "offset": 13, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The logbook at a fjord-side cabin, kept by a wildlife photographer, currently shows Thursday. Going back 25 days, which day do we land on?" }, { "role": "assistant", "content": "Thursday is position 3 in the 7-day cycle. 3 - 25 = -22. -22 mod 7 = 6. So the answer is...
days_of_week
{ "start": "Thursday", "offset": 25, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The schedule board at a converted subway car cafe shows today's hour as 4, according to the tide-pool ranger. If 4 hours pass, what hour will it be?" }, { "role": "assistant", "content": "Stepping forward 4 hours from 4: 5, 6, 7, then 8. The result is 8." } ]
hour_24
{ "start": "4", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "At a harbor-front warehouse, a vineyard manager marks August as the current month. 4 months on, which month is it?" }, { "role": "assistant", "content": "No full cycle is completed here, since 4 months is fewer than 12. Counting 4 months forward from August lands on...
months
{ "start": "August", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The current cycle at a subterranean mushroom farm is at 1, per a glacier researcher's notes. Which hour was it 2 hours before?" }, { "role": "assistant", "content": "(1 - 2) mod 24 => 23 => 23." } ]
hour_24
{ "start": "1", "offset": 2, "direction": "before", "base": 10 }
[ { "role": "user", "content": "What comes 2 hours after 8?" }, { "role": "assistant", "content": "In the 24-hour cycle, 8 sits at position 8. Working it out: 8 + 2 = 10. 10 is already within 24, so mod 24 leaves it at 10. So the answer is 10." } ]
hour_24
{ "start": "8", "offset": 2, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A windmill operator, based at a lakeside cabin, has the current entry marked 3. Going back 12 hours, which hour do we land on?" }, { "role": "assistant", "content": "In the 24-hour cycle, 3 sits at position 3. That gives 3 - 12 = -9. Reducing -9 mod 24 gives 15. So ...
hour_24
{ "start": "3", "offset": 12, "direction": "before", "base": 10 }
[ { "role": "user", "content": "Wednesday plus 18 days is what day?" }, { "role": "assistant", "content": "Divide 18 by the 7-day cycle: 2 full cycles, remainder 4. Since whole cycles cancel out, moving 4 days forward from Wednesday gives Sunday." } ]
days_of_week
{ "start": "Wednesday", "offset": 18, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The schedule board at a converted subway car cafe shows today's month as September, according to a wildlife photographer. If 5 months pass, what month will it be?" }, { "role": "assistant", "content": "Walking it through one month at a time from September: October, ...
months
{ "start": "September", "offset": 5, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A board-game cafe owner checked the calendar at a decommissioned lightship -- today is June. Skip ahead 7 months: what month is that?" }, { "role": "assistant", "content": "No full cycle is completed here, since 7 months is fewer than 12. Moving forward 7 months fro...
months
{ "start": "June", "offset": 7, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A ferry captain, based at an old textile mill, has the current entry marked 9. Rewinding 4 hours, what hour was it?" }, { "role": "assistant", "content": "9 is position 8 in the 12-hour cycle. That gives 8 - 4 = 4. 4 mod 12 = 4. That corresponds to 5." } ]
hour_12
{ "start": "9", "offset": 4, "direction": "before", "base": 10 }
[ { "role": "user", "content": "A food-truck owner at a lakeside cabin confirms the hour is presently 4. 7 hours before that, what hour was it?" }, { "role": "assistant", "content": "4 corresponds to position 4 out of 24 hours. That gives 4 - 7 = -3. -3 wraps around (mod 24) to 21. That correspond...
hour_24
{ "start": "4", "offset": 7, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The postal worker checked the calendar at a converted grain silo -- today is Saturday. If 10 days pass, what day will it be?" }, { "role": "assistant", "content": "Counting positions in the 7-day cycle, Saturday is at 5. Working it out: 5 + 10 = 15. 15 wraps around ...
days_of_week
{ "start": "Saturday", "offset": 10, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A soap maker at a mountaintop monastery announces the hour is 12. Advancing 5 hours, what hour do we reach?" }, { "role": "assistant", "content": "Since 5 hours is under the full 12-hour cycle, this stays within one pass. 5 hours forward of 12 is 5." } ]
hour_12
{ "start": "12", "offset": 5, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A new cycle just began at a converted train car; a candle maker notes it as 21. Counting 1 hour forward, what hour is that?" }, { "role": "assistant", "content": "In the 24-hour cycle, 21 sits at position 21. Working it out: 21 + 1 = 22. 22 mod 24 is just 22. So the...
hour_24
{ "start": "21", "offset": 1, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The schedule board at a wind farm control shed shows today's hour as 21, according to the bakery owner. If 17 hours pass, what hour will it be?" }, { "role": "assistant", "content": "21 corresponds to position 21 out of 24 hours. Working it out: 21 + 17 = 38. 38 wra...
hour_24
{ "start": "21", "offset": 17, "direction": "after", "base": 10 }
[ { "role": "user", "content": "A falconer checked the calendar at a coastal shipwreck museum -- it currently reads October. Going back 9 months, which month do we land on?" }, { "role": "assistant", "content": "October is position 9 in the 12-month cycle. That gives 9 - 9 = 0. 0 is already within...
months
{ "start": "October", "offset": 9, "direction": "before", "base": 10 }
[ { "role": "user", "content": "The schedule board at a highland sheep station shows today's hour as 3, according to the brewmaster. 4 hours on, which hour is it?" }, { "role": "assistant", "content": "No full cycle is completed here, since 4 hours is fewer than 24. Moving forward 4 hours from 3 r...
hour_24
{ "start": "3", "offset": 4, "direction": "after", "base": 10 }
[ { "role": "user", "content": "At a floating market, the planetarium host marks September as the current month. 2 months on, which month is it?" }, { "role": "assistant", "content": "In the 12-month cycle, September sits at position 8. 8 + 2 = 10. 10 is already within 12, so mod 12 leaves it at 1...
months
{ "start": "September", "offset": 2, "direction": "after", "base": 10 }
[ { "role": "user", "content": "The current cycle at an underground archive is at June, per the crossword editor's notes. Rewinding 7 months, what month was it?" }, { "role": "assistant", "content": "In the 12-month cycle, June sits at position 5. 5 - 7 = -2. Reducing -2 mod 12 gives 10. Which mea...
months
{ "start": "June", "offset": 7, "direction": "before", "base": 10 }
End of preview.

Cyclic Calendar Story Reasoning v2

v2 of liodon-ai/math-dow-mod-synthetic-v1, rebuilt around one piece of feedback from running v1 at scale: story and reasoning diversity has to scale to millions of rows, or it reads as one template repeated. v1's story setups were picked off a fixed list of 8 full sentences per task/direction, and every reasoning trace followed one fixed 4-slot skeleton (opener / op / mod-reduce / conclude) with only the wording swapped — fine at 10-50k rows, but at millions of rows the shape of every derivation is identical even though the words differ.

Scope change from v1

Per request, this file is scoped to the four cyclic families only — days_of_week, months, hour_12, hour_24. Addition/multiplication/mod probes are dropped (being generated separately as plain a + b problems); this generator is only about "very creative days problems, and hours, months." Base 10 only — translate to base 6/7 the same way v1's base-10 distribution was meant to be translated.

What actually changed vs. v1

  1. Stories are Mad-Libs, not a fixed sentence list. Setup sentences are composed from three independent pools — 60 subjects (roles: "a lighthouse keeper", "the glacier researcher", ...) × 60 locations ("a converted grain silo", "a rooftop apiary", ...) × 8 sentence frames — giving 28,800 setup combinations per task/direction instead of 8. Tail questions expanded from 4 to 10 phrasings per direction.
  2. Four structurally different reasoning derivations, not four rewordings of one skeleton:
    • positional_mod — v1's position → op → mod-reduce → conclude skeleton (kept, since it's the clearest single derivation), but the mod-reduce step now only claims "wraps around" when a wrap actually happened — v1 said "3 wraps around (mod 7) to 3" even when nothing wrapped.
    • wraparound — explicitly separates whole cycles from the remainder for offsets ≥ the cycle length ("25 days is 3 full cycles of 7 plus 4 left over..."), and a short direct sentence when no wrap occurs.
    • step_walk — enumerates the cycle one unit at a time for small offsets ("Stepping forward 4 hours from 23: 0, 1, 2, then 3.") — the one style closest to how a person actually counts small offsets.
    • concise — a single terse notation line ((3 + 21) mod 7 = 3 = Thursday.), the minority style so the model also sees direct-notation derivations, not only prose ones. Trace length and structure now genuinely varies, not just word choice.
  3. Offsets shifted smaller: mostly 1-10 (75% of the time) with a thin tail to 25 (was mostly 1-12, tail to 20) — "up to 25 or even 20... mostly smaller numbers."
  4. Bare/plain question phrasing expanded 3 → 10 per direction, since at the repeat counts needed for millions of rows (hundreds to ~2,000 paraphrases per underlying fact — the math domain is inherently only ~350-1,200 unique (start, offset, direction) facts per family at these offset ranges) a 3-line pool collides by pigeonhole long before a 60×60×8 story pool does.

Honesty about the duplicate rate

The underlying math domain is small by construction (small cyclic moduli, small offset range, per Alper's "mostly smaller numbers" request) — millions of rows necessarily means hundreds to ~2,000 paraphrases of each of a few thousand underlying facts. Exact-string duplicates were measured directly (not estimated) by hashing every (question, answer) pair in train.jsonl: the first widening pass took the rate from 15.17% → 7.00%, a second pass (widening the two narrowest reasoning styles further) took it to 5.19%, which is where this release ships. Going further ran into clearly diminishing returns for the engineering effort — if lower is needed for a specific training run, --repeat-cap can be lowered (fewer rows, less reuse per fact) or the offset range widened (more underlying facts) at the cost of shorter/more numerous reasoning traces respectively.

Generate

python3 generate_cyclic_stories_v2.py --out data_v2

Key flags: --base, --seed, --small-hi/--tail-hi/--small-frac (offset distribution), --story-frac (story-wrapped vs. plain question fraction, default 0.75), --repeat-cap (max paraphrases per unique fact), --dow-n/--month-n/--hour12-n/--hour24-n and their *-ood-n counterparts (per-family target counts) — see --help.

Splits

Same methodology as v1: test_id is a deterministic hash-based ~5-7% (by family; see stats below) holdout of in-distribution facts (stable_bucket, reproducible regardless of PYTHONHASHSEED); test_ood draws offsets from a near zone (26-60) and a far zone (61-600) never seen in train, to test extrapolation rather than memorization. Verified zero (task, start, offset, direction) fact overlap between train and either test split.

Schema

Identical to v1:

{
  "messages": [
    {"role": "user", "content": "A lighthouse keeper at a coastal salt farm marks Thursday as the current day. 21 days on, which day is it?"},
    {"role": "assistant", "content": "Thursday corresponds to position 3 out of 7 days. Working it out: 3 + 21 = 24. 24 mod 7 = 3. So the answer is Thursday."}
  ],
  "task": "days_of_week",
  "meta": {"start": "Thursday", "offset": 21, "direction": "after", "base": 10}
}

train_raw.txt is the flattened, role-marker-free version for pretraining-style corpora ({question} {reasoning} per line, blank-line separated).

Dataset stats

train:      2,836,738   days_of_week 652,365 | months 664,301 | hour_12 663,813 | hour_24 856,259
test_id:      163,262   days_of_week  47,635 | months  35,699 | hour_12  36,187 | hour_24  43,741
test_ood:      55,636   days_of_week   8,049 | months  13,795 | hour_12  13,792 | hour_24  20,000

Verified: 0 numeric/cyclic-label mismatches across ~60,700 sampled chat examples (2% sample across all three splits, reasoning-trace answer re-derived independently from meta and checked against the text); 0 fact-level overlap between train and either test split; global exact (question, answer) duplicate rate 5.19% (see "Honesty about the duplicate rate" above).

Not yet done

  • Nemotron-3 as an additional source of story/problem variety was raised as an option but not integrated here — this release is entirely self-generated (Mad-Libs composition), no external corpus mixed in.
  • Base-6/base-7 versions (translate once base-10 training results are in).
  • Addition/subtraction as plain a + b problems — out of scope for this file by request, being generated separately.
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