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Arithmetic-XL

layer int64	type string	text string	expression string	answer int64	choices string	llm_enhanced int64	id string	timestamp string	python_steps string	adversarial float64
2	multiplication	9*8=72	9 * 8	72	[27, 62, 74, 72]	0	L2_869681	2026-06-30T07:15:50.817798	null	null
2	multiplication	1*5=5	1 * 5	5	[12, 7, 5, 6]	0	L2_963805	2026-06-30T07:17:19.762904	null	null
1	skip_5	Skip by 5: 0, 5, 10, 15, 20, 25, 30, 35	35	35	null	0	L1_676535	2026-06-30T07:13:59.001160	null	null
2	division	Splitting 0 dollars among 1 person gives 0 dollars each.	0 / 1	0	[0, 10, 7, 99]	1	L2_662701	2026-06-30T07:36:18.101448	null	null
2	subtraction	4-3=1	4 - 3	1	[3, 1, 11, -3]	0	L2_106663	2026-06-30T07:19:00.469723	null	null
1	place_value	5007 = 5000 + 7	5000 + 7	5,007	null	0	L1_401983	2026-06-30T07:14:07.344174	null	null
1	word_map	"three" = 3	three	3	null	0	L1_477047	2026-06-30T07:14:45.368906	null	null
1	place_value	9038 = 9000 + 30 + 8	9000 + 30 + 8	9,038	null	0	L1_843119	2026-06-30T07:14:23.886645	null	null
2	addition	0+5=5	0 + 5	5	[-8, 5, 24, 12]	0	L2_395645	2026-06-30T07:26:09.820706	null	null
2	subtraction	3-3=0	3 - 3	0	[0, 7, 3, 10]	0	L2_119863	2026-06-30T07:25:20.604030	null	null
1	place_value	7903 = 7000 + 900 + 3	7000 + 900 + 3	7,903	null	0	L1_899117	2026-06-30T07:14:37.140185	null	null
2	multiplication	0*1=0	0 * 1	0	[1, -10, 0, 7]	0	L2_499525	2026-06-30T07:20:18.736721	null	null
1	place_value	7968 = 7000 + 900 + 60 + 8	7000 + 900 + 60 + 8	7,968	null	0	L1_826175	2026-06-30T07:14:21.083547	null	null
1	place_value	3969 = 3000 + 900 + 60 + 9	3000 + 900 + 60 + 9	3,969	null	0	L1_306226	2026-06-30T07:14:33.706500	null	null
2	division	9/9=1	9 / 9	1	[2, 1, 0, 14]	0	L2_847567	2026-06-30T07:25:36.824122	null	null
2	multiplication	3*0=0	3 * 0	0	[99, 2, 0, -10]	0	L2_940071	2026-06-30T07:22:04.334712	null	null
1	counting_bwd	Backward: 40, 39, 38, 37, 36, 35, 34, 33, 32, 31	31	31	null	0	L1_326514	2026-06-30T07:14:39.217605	null	null
2	multiplication	1*5=5	1 * 5	5	[-4, 4, 10, 5]	0	L2_250487	2026-06-30T07:38:35.882581	null	null
1	word_map	"five" = 5	five	5	null	0	L1_604881	2026-06-30T07:14:31.514416	null	null
2	multiplication	0*5=0	0 * 5	0	[-10, -1, 7, 0]	0	L2_803157	2026-06-30T07:25:20.323755	null	null
1	place_value	9892 = 9000 + 800 + 90 + 2	9000 + 800 + 90 + 2	9,892	null	0	L1_265330	2026-06-30T07:14:10.937521	null	null
1	place_value	5130 = 5000 + 100 + 30	5000 + 100 + 30	5,130	null	0	L1_835841	2026-06-30T07:14:02.216962	null	null
2	subtraction	3-4=-1	3 - 4	-1	[-2, -11, 6, -1]	0	L2_434911	2026-06-30T07:15:26.672402	null	null
2	addition	4+0=4	4 + 0	4	[4, 11, 8, 14]	0	L2_333204	2026-06-30T07:26:40.234786	null	null
2	addition	0+1=1	0 + 1	1	[8, -10, 2, 1]	0	L2_650768	2026-06-30T07:37:41.616399	null	null
2	multiplication	1*1=1	1 * 1	1	[1, 11, -1, -9]	0	L2_179768	2026-06-30T07:27:49.256666	null	null
1	word_map	"one" = 1	one	1	null	0	L1_732359	2026-06-30T07:14:00.504517	null	null
2	multiplication	2*8=16	2 * 8	16	[15, 16, 2, 14]	0	L2_885727	2026-06-30T07:37:40.974155	null	null
1	place_value	2404 = 2000 + 400 + 4	2000 + 400 + 4	2,404	null	0	L1_485776	2026-06-30T07:14:38.464687	null	null
2	addition	4+7=11	4 + 7	11	[11, 12, 10, 13]	0	L2_936354	2026-06-30T07:19:11.041608	null	null
2	addition	9+7=16	9 + 7	16	[36, 16, 61, 26]	0	L2_156033	2026-06-30T07:37:53.015643	null	null
1	place_value	7906 = 7000 + 900 + 6	7000 + 900 + 6	7,906	null	0	L1_972062	2026-06-30T07:14:11.269353	null	null
2	multiplication	6*6=36	6 * 6	36	[36, 34, 63, 26]	0	L2_838348	2026-06-30T07:35:42.828559	null	null
2	division	0/8=0	0 / 8	0	[2, 7, -11, 0]	0	L2_981786	2026-06-30T07:17:20.153906	null	null
2	addition	9+3=12	9 + 3	12	[11, 2, 24, 12]	0	L2_873856	2026-06-30T07:22:11.623483	null	null
2	multiplication	2*5=10	2 * 5	10	[10, -4, 20, 11]	0	L2_379476	2026-06-30T07:37:04.838005	null	null
1	place_value	5380 = 5000 + 300 + 80	5000 + 300 + 80	5,380	null	0	L1_254989	2026-06-30T07:14:04.262472	null	null
2	addition	You have 8 apples, and your friend gives you 5 more, making a total of 13 apples to share.	8 + 5	13	[23, 3, 13, 12]	1	L2_613091	2026-06-30T07:38:10.526249	null	null
2	subtraction	8-6=2	8 - 6	2	[0, 2, 12, -8]	0	L2_651045	2026-06-30T07:15:13.060870	null	null
2	subtraction	3-9=-6	3 - 9	-6	[-12, -16, -5, -6]	0	L2_563002	2026-06-30T07:28:16.919572	null	null
1	place_value	5300 = 5000 + 300	5000 + 300	5,300	null	0	L1_394581	2026-06-30T07:14:44.979927	null	null
1	place_value	8902 = 8000 + 900 + 2	8000 + 900 + 2	8,902	null	0	L1_488082	2026-06-30T07:14:38.640632	null	null
1	word_map	"twenty" = 20	twenty	20	null	0	L1_799923	2026-06-30T07:14:34.414556	null	null
1	counting_fwd	Count: 90, 91, 92, 93, 94, 95, 96, 97, 98, 99	99	99	null	0	L1_201636	2026-06-30T07:14:30.296145	null	null
2	addition	7+8=15	7 + 8	15	[14, 16, 21, 15]	0	L2_386036	2026-06-30T07:34:12.492856	null	null
2	multiplication	9*0=0	9 * 0	0	[-2, 7, -1, 0]	0	L2_910830	2026-06-30T07:29:25.819668	null	null
1	place_value	7602 = 7000 + 600 + 2	7000 + 600 + 2	7,602	null	0	L1_824095	2026-06-30T07:13:57.909062	null	null
2	division	6/1=6	6 / 1	6	[7, 5, 16, 6]	0	L2_768582	2026-06-30T07:34:59.263139	null	null
1	place_value	9867 = 9000 + 800 + 60 + 7	9000 + 800 + 60 + 7	9,867	null	0	L1_847409	2026-06-30T07:14:08.625515	null	null
1	place_value	9639 = 9000 + 600 + 30 + 9	9000 + 600 + 30 + 9	9,639	null	0	L1_820336	2026-06-30T07:14:30.565620	null	null
2	addition	I put 4 apples in a box and added 6 more, so I have 10 to share.	4 + 6	10	[12, 10, -10, 8]	1	L2_643376	2026-06-30T07:26:08.665618	null	null
1	place_value	8739 = 8000 + 700 + 30 + 9	8000 + 700 + 30 + 9	8,739	null	0	L1_514731	2026-06-30T07:14:29.784779	null	null
2	multiplication	If you earn 5 dollars an hour and work 7 hours, you’ll have 35 total.	5 * 7	35	[45, 34, 53, 35]	1	L2_751608	2026-06-30T07:30:43.844336	null	null
1	place_value	2088 = 2000 + 80 + 8	2000 + 80 + 8	2,088	null	0	L1_323829	2026-06-30T07:14:28.842208	null	null
2	subtraction	5-0=5	5 - 0	5	[5, 4, -5, 6]	0	L2_883533	2026-06-30T07:21:27.302143	null	null
1	place_value	6001 = 6000 + 1	6000 + 1	6,001	null	0	L1_639885	2026-06-30T07:14:24.314944	null	null
2	subtraction	2-4=-2	2 - 4	-2	[5, -2, 8, -11]	0	L2_274481	2026-06-30T07:27:56.718946	null	null
2	multiplication	5*1=5	5 * 1	5	[10, 2, 5, 11]	0	L2_814598	2026-06-30T07:18:31.726603	null	null
1	place_value	731 = 700 + 30 + 1	700 + 30 + 1	731	null	0	L1_851815	2026-06-30T07:14:00.373174	null	null
1	place_value	2894 = 2000 + 800 + 90 + 4	2000 + 800 + 90 + 4	2,894	null	0	L1_652335	2026-06-30T07:14:45.491022	null	null
1	place_value	9647 = 9000 + 600 + 40 + 7	9000 + 600 + 40 + 7	9,647	null	0	L1_572091	2026-06-30T07:14:15.583663	null	null
1	counting_fwd	Count: 115, 116, 117, 118, 119, 120, 121, 122, 123, 124	124	124	null	0	L1_133037	2026-06-30T07:13:57.650728	null	null
2	addition	9+8=17	9 + 8	17	[15, 13, 71, 17]	0	L2_967597	2026-06-30T07:15:37.591234	null	null
2	subtraction	5-9=-4	5 - 9	-4	[5, -14, -4, -3]	0	L2_747984	2026-06-30T07:22:52.085032	null	null
2	division	8/2=4	8 / 2	4	[-6, 14, 3, 4]	0	L2_899981	2026-06-30T07:37:51.181736	null	null
1	place_value	4058 = 4000 + 50 + 8	4000 + 50 + 8	4,058	null	0	L1_415866	2026-06-30T07:14:40.376245	null	null
1	place_value	8399 = 8000 + 300 + 90 + 9	8000 + 300 + 90 + 9	8,399	null	0	L1_544055	2026-06-30T07:14:03.346331	null	null
1	place_value	2167 = 2000 + 100 + 60 + 7	2000 + 100 + 60 + 7	2,167	null	0	L1_292079	2026-06-30T07:14:28.014995	null	null
1	place_value	5004 = 5000 + 4	5000 + 4	5,004	null	0	L1_639157	2026-06-30T07:14:19.109326	null	null
2	subtraction	8-1=7	8 - 1	7	[17, 5, 7, -3]	0	L2_165658	2026-06-30T07:22:05.158236	null	null
2	addition	1+6=7	1 + 6	7	[6, 14, 7, 5]	0	L2_310016	2026-06-30T07:22:31.491255	null	null
2	subtraction	3-5=-2	3 - 5	-2	[-12, -14, -2, 0]	0	L2_436276	2026-06-30T07:37:51.998302	null	null
1	place_value	1228 = 1000 + 200 + 20 + 8	1000 + 200 + 20 + 8	1,228	null	0	L1_711749	2026-06-30T07:14:04.176605	null	null
2	subtraction	1-0=1	1 - 0	1	[-6, 0, 2, 1]	0	L2_729038	2026-06-30T07:23:24.923718	null	null
2	multiplication	4*8=32	4 * 8	32	[38, 64, 32, 24]	0	L2_579477	2026-06-30T07:33:26.987339	null	null
1	place_value	6527 = 6000 + 500 + 20 + 7	6000 + 500 + 20 + 7	6,527	null	0	L1_158092	2026-06-30T07:14:15.286613	null	null
1	place_value	8317 = 8000 + 300 + 10 + 7	8000 + 300 + 10 + 7	8,317	null	0	L1_871075	2026-06-30T07:14:21.385181	null	null
1	place_value	9647 = 9000 + 600 + 40 + 7	9000 + 600 + 40 + 7	9,647	null	0	L1_616026	2026-06-30T07:14:37.701720	null	null
2	subtraction	8-9=-1	8 - 9	-1	[1, -1, 6, -3]	0	L2_217824	2026-06-30T07:33:14.356175	null	null
1	place_value	2375 = 2000 + 300 + 70 + 5	2000 + 300 + 70 + 5	2,375	null	0	L1_422610	2026-06-30T07:14:29.836788	null	null
1	place_value	5325 = 5000 + 300 + 20 + 5	5000 + 300 + 20 + 5	5,325	null	0	L1_814322	2026-06-30T07:14:03.755971	null	null
2	addition	9+9=18	9 + 9	18	[18, 8, 2, 28]	0	L2_149521	2026-06-30T07:36:57.324119	null	null
2	division	0/3=0	0 / 3	0	[1, -1, 0, 99]	0	L2_334575	2026-06-30T07:32:07.248238	null	null
1	place_value	2572 = 2000 + 500 + 70 + 2	2000 + 500 + 70 + 2	2,572	null	0	L1_118978	2026-06-30T07:14:08.549718	null	null
2	subtraction	The bank balance shows 3 dollars, but I spent 5, leaving me with -2.	3 - 5	-2	[-12, -2, 16, -4]	1	L2_927445	2026-06-30T07:25:23.862150	null	null
2	subtraction	9-8=1	9 - 8	1	[11, 1, 2, 8]	0	L2_116329	2026-06-30T07:25:45.117906	null	null
2	multiplication	9*0=0	9 * 0	0	[0, 10, -10, -2]	0	L2_168778	2026-06-30T07:23:54.500135	null	null
1	place_value	6922 = 6000 + 900 + 20 + 2	6000 + 900 + 20 + 2	6,922	null	0	L1_335463	2026-06-30T07:14:43.310358	null	null
2	multiplication	3*9=27	3 * 9	27	[25, 37, 27, 72]	0	L2_782257	2026-06-30T07:27:21.320832	null	null
2	multiplication	3*4=12	3 * 4	12	[20, 12, 14, 13]	0	L2_833453	2026-06-30T07:28:02.495743	null	null
1	place_value	8594 = 8000 + 500 + 90 + 4	8000 + 500 + 90 + 4	8,594	null	0	L1_411768	2026-06-30T07:14:06.654335	null	null
2	division	8/8=1	8 / 8	1	[1, -9, 2, 3]	0	L2_293678	2026-06-30T07:31:20.552846	null	null
2	addition	0+2=2	0 + 2	2	[9, 0, 2, -18]	0	L2_684628	2026-06-30T07:23:07.790766	null	null
2	addition	5+7=12	5 + 7	12	[11, 21, 12, 13]	0	L2_103046	2026-06-30T07:32:55.617035	null	null
2	addition	6+6=12	6 + 6	12	[22, 11, 12, 13]	0	L2_651077	2026-06-30T07:20:17.876297	null	null
2	subtraction	I had one apple, but lost eight, leaving me with a pitiful -7.	1 - 8	-7	[-3, -6, 3, -7]	1	L2_616077	2026-06-30T07:15:22.026650	null	null
2	division	Walking 0 steps in 8 minutes means you stay exactly where you started—0.	0 / 8	0	[0, -2, -16, 7]	1	L2_272859	2026-06-30T07:14:58.877466	null	null
1	place_value	3862 = 3000 + 800 + 60 + 2	3000 + 800 + 60 + 2	3,862	null	0	L1_942444	2026-06-30T07:14:45.470491	null	null
2	multiplication	0*2=0	0 * 2	0	[99, -10, 0, 7]	0	L2_316916	2026-06-30T07:27:00.372056	null	null
1	place_value	4779 = 4000 + 700 + 70 + 9	4000 + 700 + 70 + 9	4,779	null	0	L1_108435	2026-06-30T07:14:25.195508	null	null

End of preview. Expand in Data Studio

ArithMark 2.0 Pretraining Dataset

Generated for sub-10M LLMs targeting above-random-chance on ArithMark-2.0.

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arithmark_raw.parquet — raw order
arithmark_curriculum.parquet — curriculum-ordered (use this for training) Generated: 2026-06-30 13:19 UTC

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