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 | 870+109 | p100:800+100=900 ; p10:70+0=70 ; p1:0+9=9 ; sum=900+70+9=979 |
list_summation | list_summation:left-to-right | 6, 6, 2, 8 | 6+6=12 ; 12+2=14 ; 14+8=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 201+722 | round:210+722=932 ; adjust:932-9=923 ; sum=923 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=-10 | 5x-40=-10 ; x+-8=-2 ; x=-2--8 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 8, 2, 6, 7 | [2,8,5,6,7] ; [2,5,8,6,7] ; [2,5,6,8,7] ; [2,5,6,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(4,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) |
base_conversion | base_conversion:via-binary | n=116,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:0 ; OUT:1310 |
list_summation | list_summation:pairwise | 0, 3, 7, 0 | 0+3=3 ; 7+0=7 ; 3+7=10 |
multidigit_addition | multidigit_addition:left-to-right-partials | 457+463 | p100:400+400=800 ; p10:50+60=110 ; p1:7+3=10 ; sum=800+110+10=920 |
base_conversion | base_conversion:decomposition | n=193,base=4 | TERM:3*4^3=192 ; TERM:0*4^2=0 ; TERM:0*4^1=0 ; TERM:1*4^0=1 ; OUT:3001 |
base_conversion | base_conversion:repeated-division | n=52,base=16 | DIV:52/16=3,r:4 ; DIV:3/16=0,r:3 ; OUT:34 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 9, 5, 8 | [4,8,9,5,7] ; [9,8,4,5,7] ; [7,8,4,5,9] ; [8,7,4,5,9] ; [5,7,4,8,9] ; [7,5,4,8,9] ; [4,5,7,8,9] ; [5,4,7,8,9] ; [4,5,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+21=42 | 7x+21=42 ; 7x=21 ; x=3 |
list_summation | list_summation:pairwise | 4, 2, 2, 7 | 4+2=6 ; 2+7=9 ; 6+9=15 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
base_conversion | base_conversion:via-binary | n=144,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10010000 |
multidigit_addition | multidigit_addition:rounding-decomposition | 715+537 | round:720+537=1257 ; adjust:1257-5=1252 ; sum=1252 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-45=0 | 5x-45=0 ; 5x=45 ; x=9 |
list_summation | list_summation:right-to-left | 9, 1, 5, 2 | 5+2=7 ; 1+7=8 ; 9+8=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,2) | D:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(3,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; R:(3,4) |
base_conversion | base_conversion:repeated-division | n=125,base=2 | DIV:125/2=62,r:1 ; DIV:62/2=31,r:0 ; DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-112 | 8x-48=-112 ; 8x=-64 ; x=-8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,2) | R:(3,1) ; R:(3,2) ; D:(4,2) ; D:(5,2) |
multidigit_addition | multidigit_addition:rounding-decomposition | 460+518 | round:460+518=978 ; adjust:978-0=978 ; sum=978 |
multidigit_addition | multidigit_addition:rounding-decomposition | 606+616 | round:610+616=1226 ; adjust:1226-4=1222 ; sum=1222 |
list_summation | list_summation:left-to-right | 6, 6, 2, 1 | 6+6=12 ; 12+2=14 ; 14+1=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 1, 8, 2 | [5,1,9,8,2] ; [5,1,8,9,2] ; [5,1,8,2,9] ; [1,5,8,2,9] ; [1,5,2,8,9] ; [1,2,5,8,9] |
list_summation | list_summation:left-to-right | 6, 0, 1, 5 | 6+0=6 ; 6+1=7 ; 7+5=12 |
base_conversion | base_conversion:repeated-division | n=119,base=8 | DIV:119/8=14,r:7 ; DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:167 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=77 | 7x+28=77 ; x=(77-28)/7 ; x=49/7 ; x=7 |
base_conversion | base_conversion:via-binary | n=224,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; CHUNK:3:0 ; OUT:3200 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+0=-14 | 2x+0=-14 ; x=(-14-0)/2 ; x=-14/2 ; x=-7 |
base_conversion | base_conversion:decomposition | n=75,base=16 | TERM:4*16^1=64 ; TERM:11*16^0=11 ; OUT:4B |
list_summation | list_summation:right-to-left | 8, 1, 1, 9 | 1+9=10 ; 1+10=11 ; 8+11=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 4, 1, 9, 3 | [4,8,1,9,3] ; [1,4,8,9,3] ; [1,4,8,9,3] ; [1,3,4,8,9] |
list_summation | list_summation:left-to-right | 1, 8, 5, 6 | 1+8=9 ; 9+5=14 ; 14+6=20 |
list_summation | list_summation:right-to-left | 3, 8, 5, 1 | 5+1=6 ; 8+6=14 ; 3+14=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 178+789 | round:180+789=969 ; adjust:969-2=967 ; sum=967 |
multidigit_addition | multidigit_addition:right-to-left-carry | 403+671 | d2:3+1+0=4→w4,c0 ; d1:0+7+0=7→w7,c0 ; d0:4+6+0=10→w0,c1 ; sum=1074 |
multidigit_addition | multidigit_addition:rounding-decomposition | 652+114 | round:660+114=774 ; adjust:774-8=766 ; sum=766 |
base_conversion | base_conversion:via-binary | n=207,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:7 ; OUT:317 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+64=128 | 8x+64=128 ; 8x=64 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,2) | R:(2,1) ; R:(2,2) ; D:(3,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+4=12 | 2x+4=12 ; 2x=8 ; x=4 |
list_summation | list_summation:right-to-left | 1, 9, 1, 7 | 1+7=8 ; 9+8=17 ; 1+17=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+40=0 | 5x+40=0 ; 5x=-40 ; x=-8 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-9=6 | 3x-9=6 ; x+-3=2 ; x=2--3 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 1, 0, 3 | [0,7,1,4,3] ; [0,1,7,4,3] ; [0,1,3,4,7] ; [0,1,3,4,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 1, 6, 9 | [5,9,1,6,0] ; [9,5,1,6,0] ; [9,6,1,5,0] ; [0,6,1,5,9] ; [6,0,1,5,9] ; [6,5,1,0,9] ; [0,5,1,6,9] ; [5,0,1,6,9] ; [1,0,5,6,9] ; [0,1,5,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(2,5) | R:(0,5) ; D:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
multidigit_addition | multidigit_addition:right-to-left-carry | 771+282 | d2:1+2+0=3→w3,c0 ; d1:7+8+0=15→w5,c1 ; d0:7+2+1=10→w0,c1 ; sum=1053 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-8=-80 | 8x-8=-80 ; x=(-80--8)/8 ; x=-72/8 ; x=-9 |
base_conversion | base_conversion:via-binary | n=46,base=4 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; OUT:232 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 0, 5, 7, 3 | [0,9,5,7,3] ; [0,5,7,9,3] ; [0,3,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 9, 1, 4, 5 | [7,1,9,4,5] ; [7,1,4,9,5] ; [7,1,4,5,9] ; [1,7,4,5,9] ; [1,4,7,5,9] ; [1,4,5,7,9] |
base_conversion | base_conversion:repeated-division | n=111,base=8 | DIV:111/8=13,r:7 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:157 |
multidigit_addition | multidigit_addition:left-to-right-partials | 256+766 | p100:200+700=900 ; p10:50+60=110 ; p1:6+6=12 ; sum=900+110+12=1022 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+20=56 | 4x+20=56 ; x=(56-20)/4 ; x=36/4 ; x=9 |
base_conversion | base_conversion:decomposition | n=31,base=8 | TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:37 |
base_conversion | base_conversion:repeated-division | n=220,base=16 | DIV:220/16=13,r:12 ; DIV:13/16=0,r:13 ; OUT:DC |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-45 | 9x-81=-45 ; x+-9=-5 ; x=-5--9 ; x=4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-40=-32 | 8x-40=-32 ; x=(-32--40)/8 ; x=8/8 ; x=1 |
base_conversion | base_conversion:decomposition | n=52,base=16 | TERM:3*16^1=48 ; TERM:4*16^0=4 ; OUT:34 |
multidigit_addition | multidigit_addition:right-to-left-carry | 606+112 | d2:6+2+0=8→w8,c0 ; d1:0+1+0=1→w1,c0 ; d0:6+1+0=7→w7,c0 ; sum=718 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(3,5) | D:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 436+271 | d2:6+1+0=7→w7,c0 ; d1:3+7+0=10→w0,c1 ; d0:4+2+1=7→w7,c0 ; sum=707 |
list_summation | list_summation:left-to-right | 7, 1, 5, 9 | 7+1=8 ; 8+5=13 ; 13+9=22 |
list_summation | list_summation:left-to-right | 9, 2, 8, 0 | 9+2=11 ; 11+8=19 ; 19+0=19 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+0=10 | 5x+0=10 ; x+0=2 ; x=2-0 ; x=2 |
multidigit_addition | multidigit_addition:right-to-left-carry | 583+614 | d2:3+4+0=7→w7,c0 ; d1:8+1+0=9→w9,c0 ; d0:5+6+0=11→w1,c1 ; sum=1197 |
list_summation | list_summation:right-to-left | 0, 3, 7, 2 | 7+2=9 ; 3+9=12 ; 0+12=12 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-81=-126 | 9x-81=-126 ; x=(-126--81)/9 ; x=-45/9 ; x=-5 |
base_conversion | base_conversion:decomposition | n=186,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:2*8^0=2 ; OUT:272 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) |
list_summation | list_summation:pairwise | 3, 2, 6, 0 | 3+2=5 ; 6+0=6 ; 5+6=11 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x+18=8 | 2x+18=8 ; x=(8-18)/2 ; x=-10/2 ; x=-5 |
list_summation | list_summation:right-to-left | 9, 6, 9, 9 | 9+9=18 ; 6+18=24 ; 9+24=33 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
list_summation | list_summation:left-to-right | 8, 0, 7, 4 | 8+0=8 ; 8+7=15 ; 15+4=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(2,5) | D:(1,4) ; D:(2,4) ; R:(2,5) |
list_summation | list_summation:right-to-left | 2, 8, 0, 5 | 0+5=5 ; 8+5=13 ; 2+13=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-6 | 3x-15=-6 ; x+-5=-2 ; x=-2--5 ; x=3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-18=27 | 9x-18=27 ; x+-2=3 ; x=3--2 ; x=5 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 1, 8, 3, 0 | [0,1,8,3,9] ; [0,1,8,3,9] ; [0,1,3,8,9] ; [0,1,3,8,9] |
base_conversion | base_conversion:via-binary | n=254,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:0 ; OUT:11111110 |
base_conversion | base_conversion:via-binary | n=226,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:342 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+24=36 | 3x+24=36 ; x+8=12 ; x=12-8 ; x=4 |
list_summation | list_summation:pairwise | 0, 8, 5, 7 | 0+8=8 ; 5+7=12 ; 8+12=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 491+783 | round:500+783=1283 ; adjust:1283-9=1274 ; sum=1274 |
base_conversion | base_conversion:via-binary | n=191,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:3 ; OUT:2333 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 1, 5, 6, 2 | [1,7,5,6,2] ; [1,5,7,6,2] ; [1,5,6,7,2] ; [1,2,5,6,7] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(5,4) | R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 5, 9, 4, 8 | [3,5,4,9,8] ; [3,5,4,8,9] ; [3,4,5,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 630+754 | round:630+754=1384 ; adjust:1384-0=1384 ; sum=1384 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+54=102 | 6x+54=102 ; x+9=17 ; x=17-9 ; x=8 |
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