task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:left-to-right-partials | 844+159 | p100:800+100=900 ; p10:40+50=90 ; p1:4+9=13 ; sum=900+90+13=1003 |
base_conversion | base_conversion:repeated-division | n=206,base=8 | DIV:206/8=25,r:6 ; DIV:25/8=3,r:1 ; DIV:3/8=0,r:3 ; OUT:316 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=-33 | 3x-6=-33 ; x+-2=-11 ; x=-11--2 ; x=-9 |
list_summation | list_summation:left-to-right | 5, 7, 5, 2 | 5+7=12 ; 12+5=17 ; 17+2=19 |
list_summation | list_summation:right-to-left | 5, 4, 7, 5 | 7+5=12 ; 4+12=16 ; 5+16=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 730+101 | p100:700+100=800 ; p10:30+0=30 ; p1:0+1=1 ; sum=800+30+1=831 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=120 | 8x+64=120 ; 8x=56 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=95,base=8 | DIV:95/8=11,r:7 ; DIV:11/8=1,r:3 ; DIV:1/8=0,r:1 ; OUT:137 |
base_conversion | base_conversion:decomposition | n=251,base=16 | TERM:15*16^1=240 ; TERM:11*16^0=11 ; OUT:FB |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(3,5) | R:(0,2) ; R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,3) | R:(3,1) ; D:(4,1) ; R:(4,2) ; D:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-24=32 | 8x-24=32 ; 8x=56 ; x=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 2, 8, 4, 1 | [9,4,8,2,1] ; [1,4,8,2,9] ; [8,4,1,2,9] ; [2,4,1,8,9] ; [4,2,1,8,9] ; [1,2,4,8,9] ; [2,1,4,8,9] ; [1,2,4,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 2, 0, 7 | [5,2,9,0,7] ; [5,2,0,9,7] ; [5,2,0,7,9] ; [2,5,0,7,9] ; [2,0,5,7,9] ; [0,2,5,7,9] |
list_summation | list_summation:pairwise | 2, 3, 3, 1 | 2+3=5 ; 3+1=4 ; 5+4=9 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 2, 5, 8, 0 | [9,8,5,2,0] ; [0,8,5,2,9] ; [8,0,5,2,9] ; [8,2,5,0,9] ; [0,2,5,8,9] ; [5,2,0,8,9] ; [0,2,5,8,9] ; [2,0,5,8,9] ; [0,2,5,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 2, 5, 8 | [3,2,9,5,8] ; [3,2,5,9,8] ; [3,2,5,8,9] ; [2,3,5,8,9] |
base_conversion | base_conversion:repeated-division | n=237,base=2 | DIV:237/2=118,r:1 ; DIV:118/2=59,r:0 ; DIV:59/2=29,r:1 ; DIV:29/2=14,r:1 ; DIV:14/2=7,r:0 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11101101 |
multidigit_addition | multidigit_addition:left-to-right-partials | 107+636 | p100:100+600=700 ; p10:0+30=30 ; p1:7+6=13 ; sum=700+30+13=743 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,3) | D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(5,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 440+824 | round:440+824=1264 ; adjust:1264-0=1264 ; sum=1264 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=7 | 7x-49=7 ; x+-7=1 ; x=1--7 ; x=8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 726+597 | d2:6+7+0=13→w3,c1 ; d1:2+9+1=12→w2,c1 ; d0:7+5+1=13→w3,c1 ; sum=1323 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,4) | R:(0,4) ; D:(1,4) ; D:(2,4) |
list_summation | list_summation:right-to-left | 3, 0, 1, 1 | 1+1=2 ; 0+2=2 ; 3+2=5 |
list_summation | list_summation:right-to-left | 9, 3, 0, 8 | 0+8=8 ; 3+8=11 ; 9+11=20 |
base_conversion | base_conversion:via-binary | n=25,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:121 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=59,base=4 | DIV:59/4=14,r:3 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:323 |
list_summation | list_summation:right-to-left | 6, 8, 1, 4 | 1+4=5 ; 8+5=13 ; 6+13=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+28=-35 | 7x+28=-35 ; 7x=-63 ; x=-9 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,2) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) |
list_summation | list_summation:right-to-left | 4, 9, 5, 6 | 5+6=11 ; 9+11=20 ; 4+20=24 |
base_conversion | base_conversion:repeated-division | n=214,base=2 | DIV:214/2=107,r:0 ; DIV:107/2=53,r:1 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11010110 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,4) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; D:(3,4) |
base_conversion | base_conversion:repeated-division | n=234,base=4 | DIV:234/4=58,r:2 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3222 |
multidigit_addition | multidigit_addition:left-to-right-partials | 456+373 | p100:400+300=700 ; p10:50+70=120 ; p1:6+3=9 ; sum=700+120+9=829 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 2, 3, 1 | [1,8,2,3,4] ; [1,2,8,3,4] ; [1,2,3,8,4] ; [1,2,3,4,8] |
list_summation | list_summation:left-to-right | 5, 9, 3, 0 | 5+9=14 ; 14+3=17 ; 17+0=17 |
multidigit_addition | multidigit_addition:right-to-left-carry | 494+957 | d2:4+7+0=11→w1,c1 ; d1:9+5+1=15→w5,c1 ; d0:4+9+1=14→w4,c1 ; sum=1451 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) |
base_conversion | base_conversion:via-binary | n=227,base=16 | BINLEN:8 ; CHUNK:0:14 ; CHUNK:1:3 ; OUT:E3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 991+161 | p100:900+100=1000 ; p10:90+60=150 ; p1:1+1=2 ; sum=1000+150+2=1152 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=88 | 8x+16=88 ; x=(88-16)/8 ; x=72/8 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=18 | 6x-12=18 ; x=(18--12)/6 ; x=30/6 ; x=5 |
list_summation | list_summation:left-to-right | 2, 3, 3, 9 | 2+3=5 ; 5+3=8 ; 8+9=17 |
list_summation | list_summation:left-to-right | 1, 4, 1, 4 | 1+4=5 ; 5+1=6 ; 6+4=10 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) |
base_conversion | base_conversion:decomposition | n=15,base=4 | TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:33 |
multidigit_addition | multidigit_addition:right-to-left-carry | 530+424 | d2:0+4+0=4→w4,c0 ; d1:3+2+0=5→w5,c0 ; d0:5+4+0=9→w9,c0 ; sum=954 |
base_conversion | base_conversion:repeated-division | n=69,base=4 | DIV:69/4=17,r:1 ; DIV:17/4=4,r:1 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1011 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(4,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,1) | R:(0,1) ; D:(1,1) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 2, 1, 7, 8 | [6,8,1,7,2] ; [8,6,1,7,2] ; [8,7,1,6,2] ; [2,7,1,6,8] ; [7,2,1,6,8] ; [7,6,1,2,8] ; [2,6,1,7,8] ; [6,2,1,7,8] ; [1,2,6,7,8] ; [2,1,6,7,8] ; [1,2,6,7,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+21=56 | 7x+21=56 ; x=(56-21)/7 ; x=35/7 ; x=5 |
base_conversion | base_conversion:via-binary | n=155,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; OUT:233 |
base_conversion | base_conversion:repeated-division | n=205,base=4 | DIV:205/4=51,r:1 ; DIV:51/4=12,r:3 ; DIV:12/4=3,r:0 ; DIV:3/4=0,r:3 ; OUT:3031 |
list_summation | list_summation:pairwise | 6, 5, 0, 3 | 6+5=11 ; 0+3=3 ; 11+3=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(5,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,5) | D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:left-to-right | 5, 4, 3, 3 | 5+4=9 ; 9+3=12 ; 12+3=15 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 0, 5, 3 | [4,8,0,5,3] ; [0,4,5,8,3] ; [0,3,4,5,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 1, 4, 0, 5 | [1,9,4,0,5] ; [1,4,9,0,5] ; [0,1,4,9,5] ; [0,1,4,5,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=40 | 8x+72=40 ; x=(40-72)/8 ; x=-32/8 ; x=-4 |
list_summation | list_summation:left-to-right | 1, 5, 2, 1 | 1+5=6 ; 6+2=8 ; 8+1=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+0=-6 | 6x+0=-6 ; x=(-6-0)/6 ; x=-6/6 ; x=-1 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 1, 8, 9, 4 | [1,7,8,9,4] ; [1,7,8,9,4] ; [1,7,8,9,4] ; [1,4,7,8,9] |
list_summation | list_summation:right-to-left | 3, 3, 8, 6 | 8+6=14 ; 3+14=17 ; 3+17=20 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 5, 4, 9 | [3,8,5,4,9] ; [3,4,5,8,9] ; [3,4,5,8,9] ; [3,4,5,8,9] |
base_conversion | base_conversion:via-binary | n=40,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:220 |
list_summation | list_summation:pairwise | 5, 2, 4, 8 | 5+2=7 ; 4+8=12 ; 7+12=19 |
base_conversion | base_conversion:via-binary | n=117,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:5 ; OUT:75 |
list_summation | list_summation:right-to-left | 6, 3, 9, 7 | 9+7=16 ; 3+16=19 ; 6+19=25 |
base_conversion | base_conversion:via-binary | n=248,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:0 ; OUT:370 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=-40 | 4x-4=-40 ; 4x=-36 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 9, 3, 6, 4 | [3,6,7,9,4] ; [3,4,6,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=24 | 2x+10=24 ; x+5=12 ; x=12-5 ; x=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 297+465 | d2:7+5+0=12→w2,c1 ; d1:9+6+1=16→w6,c1 ; d0:2+4+1=7→w7,c0 ; sum=762 |
multidigit_addition | multidigit_addition:right-to-left-carry | 347+816 | d2:7+6+0=13→w3,c1 ; d1:4+1+1=6→w6,c0 ; d0:3+8+0=11→w1,c1 ; sum=1163 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=50 | 5x+20=50 ; x+4=10 ; x=10-4 ; x=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 0, 6, 3 | [1,4,0,6,3] ; [1,0,4,6,3] ; [1,0,4,3,6] ; [0,1,4,3,6] ; [0,1,3,4,6] |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 8, 1, 2, 7 | [8,9,1,2,7] ; [1,8,9,2,7] ; [1,2,8,9,7] ; [1,2,7,8,9] |
base_conversion | base_conversion:decomposition | n=52,base=16 | TERM:3*16^1=48 ; TERM:4*16^0=4 ; OUT:34 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,4) | R:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,3) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 936+347 | d2:6+7+0=13→w3,c1 ; d1:3+4+1=8→w8,c0 ; d0:9+3+0=12→w2,c1 ; sum=1283 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,4) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-12=-28 | 2x-12=-28 ; x+-6=-14 ; x=-14--6 ; x=-8 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 8, 0, 6 | [2,4,8,0,6] ; [2,4,8,0,6] ; [0,2,4,8,6] ; [0,2,4,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 0, 8, 5 | [1,8,0,6,5] ; [8,1,0,6,5] ; [8,6,0,1,5] ; [5,6,0,1,8] ; [6,5,0,1,8] ; [1,5,0,6,8] ; [5,1,0,6,8] ; [0,1,5,6,8] ; [1,0,5,6,8] ; [0,1,5,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 819+987 | round:820+987=1807 ; adjust:1807-1=1806 ; sum=1806 |
multidigit_addition | multidigit_addition:left-to-right-partials | 557+929 | p100:500+900=1400 ; p10:50+20=70 ; p1:7+9=16 ; sum=1400+70+16=1486 |
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