task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=252,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:3330 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+8=12 | 4x+8=12 ; 4x=4 ; x=1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
list_summation | list_summation:pairwise | 0, 5, 6, 6 | 0+5=5 ; 6+6=12 ; 5+12=17 |
list_summation | list_summation:right-to-left | 8, 8, 2, 0 | 2+0=2 ; 8+2=10 ; 8+10=18 |
multidigit_addition | multidigit_addition:right-to-left-carry | 934+335 | d2:4+5+0=9→w9,c0 ; d1:3+3+0=6→w6,c0 ; d0:9+3+0=12→w2,c1 ; sum=1269 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(5,5) | D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 4, 9, 0 | [5,9,4,8,0] ; [9,5,4,8,0] ; [9,8,4,5,0] ; [0,8,4,5,9] ; [8,0,4,5,9] ; [8,5,4,0,9] ; [0,5,4,8,9] ; [5,0,4,8,9] ; [4,0,5,8,9] ; [0,4,5,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 4, 6, 2, 9 | [4,8,6,2,9] ; [4,8,2,6,9] ; [2,4,6,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 564+981 | round:570+981=1551 ; adjust:1551-6=1545 ; sum=1545 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 1, 5, 6 | [2,9,1,5,6] ; [2,1,9,5,6] ; [2,1,5,9,6] ; [2,1,5,6,9] ; [1,2,5,6,9] |
base_conversion | base_conversion:decomposition | n=195,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:11000011 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 4, 6, 7, 1 | [4,9,6,7,1] ; [4,6,7,9,1] ; [1,4,6,7,9] |
list_summation | list_summation:left-to-right | 3, 7, 0, 4 | 3+7=10 ; 10+0=10 ; 10+4=14 |
list_summation | list_summation:left-to-right | 0, 0, 0, 9 | 0+0=0 ; 0+0=0 ; 0+9=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+2=-16 | 2x+2=-16 ; x=(-16-2)/2 ; x=-18/2 ; x=-9 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 2, 3, 6, 7 | [4,7,3,6,2] ; [7,4,3,6,2] ; [7,6,3,4,2] ; [2,6,3,4,7] ; [6,2,3,4,7] ; [6,4,3,2,7] ; [2,4,3,6,7] ; [4,2,3,6,7] ; [3,2,4,6,7] ; [2,3,4,6,7] |
base_conversion | base_conversion:decomposition | n=27,base=8 | TERM:3*8^1=24 ; TERM:3*8^0=3 ; OUT:33 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(3,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-40=-10 | 5x-40=-10 ; 5x=30 ; x=6 |
multidigit_addition | multidigit_addition:right-to-left-carry | 383+795 | d2:3+5+0=8→w8,c0 ; d1:8+9+0=17→w7,c1 ; d0:3+7+1=11→w1,c1 ; sum=1178 |
base_conversion | base_conversion:via-binary | n=199,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:3013 |
multidigit_addition | multidigit_addition:rounding-decomposition | 288+878 | round:290+878=1168 ; adjust:1168-2=1166 ; sum=1166 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 5, 4, 7 | [2,3,4,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-20=-55 | 5x-20=-55 ; x=(-55--20)/5 ; x=-35/5 ; x=-7 |
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:alternating | grid=6 ; S=(1,3) ; G=(2,4) | R:(1,4) ; D:(2,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,3) | R:(3,3) ; D:(4,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-24=-24 | 3x-24=-24 ; x+-8=-8 ; x=-8--8 ; x=0 |
list_summation | list_summation:pairwise | 0, 6, 7, 3 | 0+6=6 ; 7+3=10 ; 6+10=16 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=45 | 5x+25=45 ; x=(45-25)/5 ; x=20/5 ; x=4 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+25=35 | 5x+25=35 ; x+5=7 ; x=7-5 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 681+789 | p100:600+700=1300 ; p10:80+80=160 ; p1:1+9=10 ; sum=1300+160+10=1470 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 5, 2, 6, 0 | [1,2,5,6,0] ; [1,2,5,0,6] ; [1,2,0,5,6] ; [1,0,2,5,6] ; [0,1,2,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 296+957 | round:300+957=1257 ; adjust:1257-4=1253 ; sum=1253 |
base_conversion | base_conversion:via-binary | n=246,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:6 ; OUT:366 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,3) | R:(4,3) ; D:(5,3) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-54=-42 | 6x-54=-42 ; x=(-42--54)/6 ; x=12/6 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 629+895 | p100:600+800=1400 ; p10:20+90=110 ; p1:9+5=14 ; sum=1400+110+14=1524 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 8, 5, 0, 9 | [0,8,5,2,9] ; [0,2,5,8,9] ; [0,2,5,8,9] ; [0,2,5,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+8=-64 | 8x+8=-64 ; x=(-64-8)/8 ; x=-72/8 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+15=30 | 3x+15=30 ; x+5=10 ; x=10-5 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+72=8 | 8x+72=8 ; x=(8-72)/8 ; x=-64/8 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 6, 3, 4, 2 | [5,3,6,4,2] ; [5,3,4,6,2] ; [5,3,4,2,6] ; [3,5,4,2,6] ; [3,4,5,2,6] ; [3,4,2,5,6] ; [3,2,4,5,6] ; [2,3,4,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 166+753 | round:170+753=923 ; adjust:923-4=919 ; sum=919 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=-24 | 6x+6=-24 ; x=(-24-6)/6 ; x=-30/6 ; x=-5 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+18=-9 | 9x+18=-9 ; x+2=-1 ; x=-1-2 ; x=-3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 2, 4, 8, 1 | [2,9,4,8,1] ; [2,4,9,8,1] ; [2,4,8,9,1] ; [2,4,8,1,9] ; [2,4,1,8,9] ; [2,1,4,8,9] ; [1,2,4,8,9] |
list_summation | list_summation:left-to-right | 1, 5, 2, 0 | 1+5=6 ; 6+2=8 ; 8+0=8 |
base_conversion | base_conversion:repeated-division | n=28,base=16 | DIV:28/16=1,r:12 ; DIV:1/16=0,r:1 ; OUT:1C |
base_conversion | base_conversion:repeated-division | n=49,base=2 | DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:110001 |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 3, 9, 8 | [0,2,3,9,8] ; [0,2,3,9,8] ; [0,2,3,9,8] ; [0,2,3,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 868+309 | round:870+309=1179 ; adjust:1179-2=1177 ; sum=1177 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 8, 7, 3 | [0,6,8,7,3] ; [0,6,8,7,3] ; [0,6,7,8,3] ; [0,3,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,4) | D:(1,2) ; R:(1,3) ; R:(1,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=3 | 3x+0=3 ; x=(3-0)/3 ; x=3/3 ; x=1 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 4, 6, 8 | [4,9,5,6,8] ; [4,5,9,6,8] ; [4,5,6,9,8] ; [4,5,6,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 9, 5, 7, 6 | [8,5,9,7,6] ; [8,5,7,9,6] ; [8,5,7,6,9] ; [5,8,7,6,9] ; [5,7,8,6,9] ; [5,7,6,8,9] ; [5,6,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 586+201 | round:590+201=791 ; adjust:791-4=787 ; sum=787 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(3,4) | R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=18 | 3x+9=18 ; x=(18-9)/3 ; x=9/3 ; x=3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,4) | D:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 1, 8, 3 | [6,7,1,8,3] ; [1,6,7,8,3] ; [1,3,6,7,8] |
list_summation | list_summation:pairwise | 3, 6, 9, 3 | 3+6=9 ; 9+3=12 ; 9+12=21 |
multidigit_addition | multidigit_addition:left-to-right-partials | 150+691 | p100:100+600=700 ; p10:50+90=140 ; p1:0+1=1 ; sum=700+140+1=841 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 2, 4, 6, 1 | [0,1,2,4,6] |
base_conversion | base_conversion:repeated-division | n=48,base=8 | DIV:48/8=6,r:0 ; DIV:6/8=0,r:6 ; OUT:60 |
multidigit_addition | multidigit_addition:rounding-decomposition | 100+282 | round:100+282=382 ; adjust:382-0=382 ; sum=382 |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 3, 6, 5, 7 | [9,7,6,5,3] ; [3,7,6,5,9] ; [7,3,6,5,9] ; [7,5,6,3,9] ; [3,5,6,7,9] ; [6,5,3,7,9] ; [3,5,6,7,9] ; [5,3,6,7,9] ; [3,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+21=33 | 3x+21=33 ; x+7=11 ; x=11-7 ; x=4 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 5, 7, 0, 8 | [4,8,7,0,5] ; [8,4,7,0,5] ; [8,5,7,0,4] ; [4,5,7,0,8] ; [7,5,4,0,8] ; [0,5,4,7,8] ; [5,0,4,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(2,3) | R:(1,1) ; D:(2,1) ; R:(2,2) ; R:(2,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 2, 4, 3, 6 | [2,5,4,3,6] ; [2,4,5,3,6] ; [2,4,3,5,6] ; [2,3,4,5,6] |
multidigit_addition | multidigit_addition:rounding-decomposition | 522+371 | round:530+371=901 ; adjust:901-8=893 ; sum=893 |
base_conversion | base_conversion:via-binary | n=253,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:7 ; CHUNK:2:5 ; OUT:375 |
list_summation | list_summation:pairwise | 4, 7, 1, 5 | 4+7=11 ; 1+5=6 ; 11+6=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 211+450 | p100:200+400=600 ; p10:10+50=60 ; p1:1+0=1 ; sum=600+60+1=661 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,5) | R:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=18 | 6x+36=18 ; 6x=-18 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-35=0 | 5x-35=0 ; x=(0--35)/5 ; x=35/5 ; x=7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 449+688 | d2:9+8+0=17→w7,c1 ; d1:4+8+1=13→w3,c1 ; d0:4+6+1=11→w1,c1 ; sum=1137 |
base_conversion | base_conversion:repeated-division | n=54,base=16 | DIV:54/16=3,r:6 ; DIV:3/16=0,r:3 ; OUT:36 |
multidigit_addition | multidigit_addition:rounding-decomposition | 431+175 | round:440+175=615 ; adjust:615-9=606 ; sum=606 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-36=-60 | 6x-36=-60 ; x+-6=-10 ; x=-10--6 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 334+477 | d2:4+7+0=11→w1,c1 ; d1:3+7+1=11→w1,c1 ; d0:3+4+1=8→w8,c0 ; sum=811 |
multidigit_addition | multidigit_addition:left-to-right-partials | 943+795 | p100:900+700=1600 ; p10:40+90=130 ; p1:3+5=8 ; sum=1600+130+8=1738 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 1, 4, 8 | [1,2,4,9,8] ; [1,2,4,8,9] |
base_conversion | base_conversion:via-binary | n=140,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:4 ; OUT:214 |
list_summation | list_summation:pairwise | 4, 2, 9, 8 | 4+2=6 ; 9+8=17 ; 6+17=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 598+691 | d2:8+1+0=9→w9,c0 ; d1:9+9+0=18→w8,c1 ; d0:5+6+1=12→w2,c1 ; sum=1289 |
base_conversion | base_conversion:via-binary | n=67,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1003 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 1, 6, 3, 0 | [1,2,6,3,0] ; [1,2,3,6,0] ; [1,2,3,0,6] ; [1,2,0,3,6] ; [1,0,2,3,6] ; [0,1,2,3,6] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-90 | 5x-45=-90 ; x=(-90--45)/5 ; x=-45/5 ; x=-9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-63=-90 | 9x-63=-90 ; x+-7=-10 ; x=-10--7 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 590+341 | d2:0+1+0=1→w1,c0 ; d1:9+4+0=13→w3,c1 ; d0:5+3+1=9→w9,c0 ; sum=931 |
multidigit_addition | multidigit_addition:left-to-right-partials | 862+118 | p100:800+100=900 ; p10:60+10=70 ; p1:2+8=10 ; sum=900+70+10=980 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 0, 1, 9 | [5,8,0,1,9] ; [0,5,8,1,9] ; [0,1,5,8,9] ; [0,1,5,8,9] |
list_summation | list_summation:pairwise | 0, 3, 2, 7 | 0+3=3 ; 2+7=9 ; 3+9=12 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 7, 3, 5 | [8,9,7,3,5] ; [7,8,9,3,5] ; [3,7,8,9,5] ; [3,5,7,8,9] |
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