task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 4, 7, 7, 4 | 4+7=11 ; 7+4=11 ; 11+11=22 |
base_conversion | base_conversion:decomposition | n=144,base=8 | TERM:2*8^2=128 ; TERM:2*8^1=16 ; TERM:0*8^0=0 ; OUT:220 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-8=-8 | 8x-8=-8 ; x+-1=-1 ; x=-1--1 ; x=0 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=0 | 3x+15=0 ; x+5=0 ; x=0-5 ; x=-5 |
base_conversion | base_conversion:decomposition | n=104,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:1220 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-42=-70 | 7x-42=-70 ; 7x=-28 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+0=-54 | 9x+0=-54 ; x=(-54-0)/9 ; x=-54/9 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+20=5 | 5x+20=5 ; x+4=1 ; x=1-4 ; x=-3 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+63=0 | 7x+63=0 ; x+9=0 ; x=0-9 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:left-to-right | 5, 3, 4, 7 | 5+3=8 ; 8+4=12 ; 12+7=19 |
list_summation | list_summation:pairwise | 2, 5, 8, 5 | 2+5=7 ; 8+5=13 ; 7+13=20 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 860+570 | round:860+570=1430 ; adjust:1430-0=1430 ; sum=1430 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 3, 2, 7, 1 | [3,6,2,7,1] ; [3,2,6,7,1] ; [3,2,6,1,7] ; [2,3,6,1,7] ; [2,3,1,6,7] ; [2,1,3,6,7] ; [1,2,3,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 3, 9, 5 | [0,6,3,9,5] ; [0,3,6,9,5] ; [0,3,6,9,5] ; [0,3,5,6,9] |
list_summation | list_summation:pairwise | 3, 6, 5, 3 | 3+6=9 ; 5+3=8 ; 9+8=17 |
list_summation | list_summation:right-to-left | 9, 1, 6, 8 | 6+8=14 ; 1+14=15 ; 9+15=24 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(2,4) | R:(0,3) ; R:(0,4) ; D:(1,4) ; D:(2,4) |
base_conversion | base_conversion:repeated-division | n=245,base=4 | DIV:245/4=61,r:1 ; DIV:61/4=15,r:1 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3311 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 4, 2, 8, 3 | [4,7,2,8,3] ; [2,4,7,8,3] ; [2,4,7,8,3] ; [2,3,4,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,0) ; G=(2,3) | R:(0,1) ; R:(0,2) ; R:(0,3) ; D:(1,3) ; D:(2,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; R:(2,5) ; D:(3,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 4, 3, 0 | [0,5,4,3,6] ; [5,0,4,3,6] ; [5,3,4,0,6] ; [0,3,4,5,6] ; [4,3,0,5,6] ; [0,3,4,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=10 | 2x+18=10 ; x=(10-18)/2 ; x=-8/2 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=4 | 4x+24=4 ; x+6=1 ; x=1-6 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 707+485 | p100:700+400=1100 ; p10:0+80=80 ; p1:7+5=12 ; sum=1100+80+12=1192 |
multidigit_addition | multidigit_addition:right-to-left-carry | 950+888 | d2:0+8+0=8→w8,c0 ; d1:5+8+0=13→w3,c1 ; d0:9+8+1=18→w8,c1 ; sum=1838 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 6, 1, 9, 8 | [0,6,1,9,8] ; [0,1,6,9,8] ; [0,1,6,9,8] ; [0,1,6,8,9] |
base_conversion | base_conversion:via-binary | n=226,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11100010 |
list_summation | list_summation:left-to-right | 7, 2, 3, 4 | 7+2=9 ; 9+3=12 ; 12+4=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-10=-22 | 2x-10=-22 ; x=(-22--10)/2 ; x=-12/2 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,5) | D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=84,base=8 | DIV:84/8=10,r:4 ; DIV:10/8=1,r:2 ; DIV:1/8=0,r:1 ; OUT:124 |
multidigit_addition | multidigit_addition:right-to-left-carry | 814+863 | d2:4+3+0=7→w7,c0 ; d1:1+6+0=7→w7,c0 ; d0:8+8+0=16→w6,c1 ; sum=1677 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-16=16 | 8x-16=16 ; x+-2=2 ; x=2--2 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 651+925 | round:660+925=1585 ; adjust:1585-9=1576 ; sum=1576 |
multidigit_addition | multidigit_addition:right-to-left-carry | 595+308 | d2:5+8+0=13→w3,c1 ; d1:9+0+1=10→w0,c1 ; d0:5+3+1=9→w9,c0 ; sum=903 |
base_conversion | base_conversion:via-binary | n=229,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:1 ; OUT:3211 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 8, 4, 3 | [2,6,8,4,3] ; [2,6,8,4,3] ; [2,4,6,8,3] ; [2,3,4,6,8] |
base_conversion | base_conversion:decomposition | n=75,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1001011 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 3, 1, 9, 4 | [1,3,5,9,4] ; [1,3,5,9,4] ; [1,3,4,9,5] ; [1,3,4,5,9] |
base_conversion | base_conversion:repeated-division | n=100,base=8 | DIV:100/8=12,r:4 ; DIV:12/8=1,r:4 ; DIV:1/8=0,r:1 ; OUT:144 |
multidigit_addition | multidigit_addition:left-to-right-partials | 734+219 | p100:700+200=900 ; p10:30+10=40 ; p1:4+9=13 ; sum=900+40+13=953 |
multidigit_addition | multidigit_addition:left-to-right-partials | 823+527 | p100:800+500=1300 ; p10:20+20=40 ; p1:3+7=10 ; sum=1300+40+10=1350 |
list_summation | list_summation:right-to-left | 5, 4, 2, 4 | 2+4=6 ; 4+6=10 ; 5+10=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 8, 0, 1 | [3,8,9,0,1] ; [3,8,0,9,1] ; [3,8,0,1,9] ; [3,0,8,1,9] ; [3,0,1,8,9] ; [0,3,1,8,9] ; [0,1,3,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=115,base=16 | DIV:115/16=7,r:3 ; DIV:7/16=0,r:7 ; OUT:73 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 3, 7, 6 | [5,7,3,0,6] ; [7,5,3,0,6] ; [7,6,3,0,5] ; [5,6,3,0,7] ; [6,5,3,0,7] ; [0,5,3,6,7] ; [5,0,3,6,7] ; [3,0,5,6,7] ; [0,3,5,6,7] |
base_conversion | base_conversion:via-binary | n=140,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:2030 |
base_conversion | base_conversion:decomposition | n=205,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:5*8^0=5 ; OUT:315 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 7, 5, 4 | [2,9,7,5,4] ; [2,4,7,5,9] ; [2,4,5,7,9] ; [2,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=176,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:0 ; OUT:260 |
list_summation | list_summation:pairwise | 5, 7, 3, 9 | 5+7=12 ; 3+9=12 ; 12+12=24 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=-15 | 3x+6=-15 ; x+2=-5 ; x=-5-2 ; x=-7 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 5, 7, 1, 9 | [2,5,1,7,9] ; [1,2,5,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 9, 0, 6 | [4,5,0,9,6] ; [0,4,5,9,6] ; [0,4,5,6,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 613+585 | round:620+585=1205 ; adjust:1205-7=1198 ; sum=1198 |
multidigit_addition | multidigit_addition:right-to-left-carry | 840+543 | d2:0+3+0=3→w3,c0 ; d1:4+4+0=8→w8,c0 ; d0:8+5+0=13→w3,c1 ; sum=1383 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=32 | 4x+0=32 ; 4x=32 ; x=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 4, 2, 0 | [1,8,4,2,0] ; [1,4,8,2,0] ; [1,4,2,8,0] ; [1,4,2,0,8] ; [1,2,4,0,8] ; [1,2,0,4,8] ; [1,0,2,4,8] ; [0,1,2,4,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 111+197 | p100:100+100=200 ; p10:10+90=100 ; p1:1+7=8 ; sum=200+100+8=308 |
list_summation | list_summation:pairwise | 3, 5, 7, 2 | 3+5=8 ; 7+2=9 ; 8+9=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:repeated-division | n=9,base=8 | DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:11 |
list_summation | list_summation:right-to-left | 2, 2, 4, 4 | 4+4=8 ; 2+8=10 ; 2+10=12 |
list_summation | list_summation:left-to-right | 4, 0, 9, 9 | 4+0=4 ; 4+9=13 ; 13+9=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 976+816 | round:980+816=1796 ; adjust:1796-4=1792 ; sum=1792 |
multidigit_addition | multidigit_addition:left-to-right-partials | 262+395 | p100:200+300=500 ; p10:60+90=150 ; p1:2+5=7 ; sum=500+150+7=657 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=27 | 9x+18=27 ; 9x=9 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(2,3) | R:(1,2) ; D:(2,2) ; R:(2,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 207+952 | p100:200+900=1100 ; p10:0+50=50 ; p1:7+2=9 ; sum=1100+50+9=1159 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=-35 | 5x-45=-35 ; 5x=10 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 296+252 | p100:200+200=400 ; p10:90+50=140 ; p1:6+2=8 ; sum=400+140+8=548 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 9, 7, 3 | [5,6,7,9,3] ; [5,6,7,3,9] ; [5,6,3,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
base_conversion | base_conversion:via-binary | n=164,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10100100 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,4) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-42=21 | 7x-42=21 ; x+-6=3 ; x=3--6 ; x=9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-8=16 | 8x-8=16 ; 8x=24 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+27=30 | 3x+27=30 ; 3x=3 ; x=1 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+0=4 | 2x+0=4 ; x+0=2 ; x=2-0 ; x=2 |
list_summation | list_summation:pairwise | 8, 0, 6, 7 | 8+0=8 ; 6+7=13 ; 8+13=21 |
list_summation | list_summation:pairwise | 2, 6, 5, 1 | 2+6=8 ; 5+1=6 ; 8+6=14 |
list_summation | list_summation:pairwise | 2, 6, 0, 8 | 2+6=8 ; 0+8=8 ; 8+8=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(4,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 534+272 | d2:4+2+0=6→w6,c0 ; d1:3+7+0=10→w0,c1 ; d0:5+2+1=8→w8,c0 ; sum=806 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-2=0 | 2x-2=0 ; 2x=2 ; x=1 |
list_summation | list_summation:left-to-right | 4, 1, 6, 9 | 4+1=5 ; 5+6=11 ; 11+9=20 |
list_summation | list_summation:pairwise | 4, 4, 7, 1 | 4+4=8 ; 7+1=8 ; 8+8=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 510+953 | round:510+953=1463 ; adjust:1463-0=1463 ; sum=1463 |
base_conversion | base_conversion:via-binary | n=5,base=2 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; OUT:101 |
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