task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=48 | 6x+12=48 ; x+2=8 ; x=8-2 ; x=6 |
list_summation | list_summation:right-to-left | 8, 2, 6, 6 | 6+6=12 ; 2+12=14 ; 8+14=22 |
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 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 1, 7, 4 | [2,7,1,0,4] ; [7,2,1,0,4] ; [7,4,1,0,2] ; [2,4,1,0,7] ; [4,2,1,0,7] ; [0,2,1,4,7] ; [2,0,1,4,7] ; [1,0,2,4,7] ; [0,1,2,4,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+28=64 | 4x+28=64 ; x+7=16 ; x=16-7 ; x=9 |
list_summation | list_summation:left-to-right | 2, 3, 9, 8 | 2+3=5 ; 5+9=14 ; 14+8=22 |
base_conversion | base_conversion:via-binary | n=199,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:7 ; OUT:C7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 560+200 | d2:0+0+0=0→w0,c0 ; d1:6+0+0=6→w6,c0 ; d0:5+2+0=7→w7,c0 ; sum=760 |
list_summation | list_summation:left-to-right | 7, 9, 0, 7 | 7+9=16 ; 16+0=16 ; 16+7=23 |
list_summation | list_summation:right-to-left | 7, 3, 4, 0 | 4+0=4 ; 3+4=7 ; 7+7=14 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(4,5) | D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 231+858 | p100:200+800=1000 ; p10:30+50=80 ; p1:1+8=9 ; sum=1000+80+9=1089 |
multidigit_addition | multidigit_addition:rounding-decomposition | 516+915 | round:520+915=1435 ; adjust:1435-4=1431 ; sum=1431 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 3, 6, 1 | [0,3,8,6,1] ; [0,3,6,8,1] ; [0,3,6,1,8] ; [0,3,1,6,8] ; [0,1,3,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 685+980 | p100:600+900=1500 ; p10:80+80=160 ; p1:5+0=5 ; sum=1500+160+5=1665 |
base_conversion | base_conversion:decomposition | n=43,base=16 | TERM:2*16^1=32 ; TERM:11*16^0=11 ; OUT:2B |
multidigit_addition | multidigit_addition:right-to-left-carry | 605+691 | d2:5+1+0=6→w6,c0 ; d1:0+9+0=9→w9,c0 ; d0:6+6+0=12→w2,c1 ; sum=1296 |
multidigit_addition | multidigit_addition:rounding-decomposition | 945+763 | round:950+763=1713 ; adjust:1713-5=1708 ; sum=1708 |
multidigit_addition | multidigit_addition:rounding-decomposition | 792+233 | round:800+233=1033 ; adjust:1033-8=1025 ; sum=1025 |
list_summation | list_summation:right-to-left | 3, 2, 0, 4 | 0+4=4 ; 2+4=6 ; 3+6=9 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 1, 9, 7, 2 | [1,4,9,7,2] ; [1,4,7,9,2] ; [1,2,4,7,9] |
list_summation | list_summation:right-to-left | 2, 6, 4, 7 | 4+7=11 ; 6+11=17 ; 2+17=19 |
list_summation | list_summation:left-to-right | 3, 2, 7, 7 | 3+2=5 ; 5+7=12 ; 12+7=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 6, 4, 8 | [2,9,6,4,8] ; [2,9,4,6,8] ; [2,4,6,9,8] ; [2,4,6,8,9] |
list_summation | list_summation:pairwise | 8, 9, 8, 3 | 8+9=17 ; 8+3=11 ; 17+11=28 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(3,3) | D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) ; R:(3,3) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 1, 8, 6, 5 | [1,4,8,6,5] ; [1,4,8,6,5] ; [1,4,5,6,8] ; [1,4,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,1) | D:(4,0) ; R:(4,1) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-45=-25 | 5x-45=-25 ; x+-9=-5 ; x=-5--9 ; x=4 |
list_summation | list_summation:right-to-left | 1, 7, 4, 5 | 4+5=9 ; 7+9=16 ; 1+16=17 |
base_conversion | base_conversion:decomposition | n=136,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:0*8^0=0 ; OUT:210 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 1, 0, 7, 4 | [1,8,0,7,4] ; [1,0,8,7,4] ; [1,0,7,8,4] ; [1,0,7,4,8] ; [0,1,7,4,8] ; [0,1,4,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 766+664 | round:770+664=1434 ; adjust:1434-4=1430 ; sum=1430 |
multidigit_addition | multidigit_addition:right-to-left-carry | 661+424 | d2:1+4+0=5→w5,c0 ; d1:6+2+0=8→w8,c0 ; d0:6+4+0=10→w0,c1 ; sum=1085 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+64=112 | 8x+64=112 ; x+8=14 ; x=14-8 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 131+957 | round:140+957=1097 ; adjust:1097-9=1088 ; sum=1088 |
multidigit_addition | multidigit_addition:left-to-right-partials | 631+939 | p100:600+900=1500 ; p10:30+30=60 ; p1:1+9=10 ; sum=1500+60+10=1570 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:decomposition | n=104,base=8 | TERM:1*8^2=64 ; TERM:5*8^1=40 ; TERM:0*8^0=0 ; OUT:150 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 517+732 | p100:500+700=1200 ; p10:10+30=40 ; p1:7+2=9 ; sum=1200+40+9=1249 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 8, 0, 2, 7 | [0,8,9,2,7] ; [0,2,9,8,7] ; [0,2,7,8,9] ; [0,2,7,8,9] |
base_conversion | base_conversion:decomposition | n=14,base=2 | TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1110 |
base_conversion | base_conversion:via-binary | n=247,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:3313 |
list_summation | list_summation:right-to-left | 6, 7, 9, 9 | 9+9=18 ; 7+18=25 ; 6+25=31 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(4,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 727+913 | round:730+913=1643 ; adjust:1643-3=1640 ; sum=1640 |
multidigit_addition | multidigit_addition:left-to-right-partials | 214+738 | p100:200+700=900 ; p10:10+30=40 ; p1:4+8=12 ; sum=900+40+12=952 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-10=6 | 2x-10=6 ; 2x=16 ; x=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 7, 3, 9 | [0,6,3,7,9] ; [0,3,6,7,9] |
base_conversion | base_conversion:via-binary | n=221,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:5 ; OUT:335 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 0, 7, 5 | [8,3,0,7,5] ; [8,7,0,3,5] ; [5,7,0,3,8] ; [7,5,0,3,8] ; [3,5,0,7,8] ; [5,3,0,7,8] ; [0,3,5,7,8] ; [3,0,5,7,8] ; [0,3,5,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 5, 1, 0, 8 | [0,5,1,6,8] ; [0,1,5,6,8] ; [0,1,5,6,8] ; [0,1,5,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(2,5) | R:(0,4) ; D:(1,4) ; R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 9, 7, 3, 2 | [1,9,3,7,2] ; [1,3,7,9,2] ; [1,2,3,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=72 | 6x+18=72 ; 6x=54 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-28=-84 | 7x-28=-84 ; x=(-84--28)/7 ; x=-56/7 ; x=-8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-9=18 | 9x-9=18 ; 9x=27 ; x=3 |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+72=18 | 9x+72=18 ; x+8=2 ; x=2-8 ; x=-6 |
list_summation | list_summation:left-to-right | 0, 6, 9, 1 | 0+6=6 ; 6+9=15 ; 15+1=16 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 8, 0, 7, 4 | [1,8,0,7,4] ; [0,1,8,7,4] ; [0,1,7,8,4] ; [0,1,4,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+7=7 | 7x+7=7 ; 7x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 8, 4, 3, 5 | [6,4,8,3,5] ; [6,4,3,8,5] ; [6,4,3,5,8] ; [4,6,3,5,8] ; [4,3,6,5,8] ; [4,3,5,6,8] ; [3,4,5,6,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-56=-80 | 8x-56=-80 ; x=(-80--56)/8 ; x=-24/8 ; x=-3 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+18=-27 | 9x+18=-27 ; x=(-27-18)/9 ; x=-45/9 ; x=-5 |
base_conversion | base_conversion:decomposition | n=12,base=16 | TERM:12*16^0=12 ; OUT:C |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 4, 7, 1 | [2,4,9,7,1] ; [2,4,7,9,1] ; [2,4,7,1,9] ; [2,4,1,7,9] ; [2,1,4,7,9] ; [1,2,4,7,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+10=12 | 2x+10=12 ; 2x=2 ; x=1 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 9, 4, 1, 2 | [1,9,4,5,2] ; [1,2,4,5,9] ; [1,2,4,5,9] ; [1,2,4,5,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 5, 9, 8, 1 | [2,8,9,5,1] ; [9,8,2,5,1] ; [1,8,2,5,9] ; [8,1,2,5,9] ; [8,5,2,1,9] ; [1,5,2,8,9] ; [5,1,2,8,9] ; [2,1,5,8,9] ; [1,2,5,8,9] |
list_summation | list_summation:left-to-right | 9, 2, 6, 5 | 9+2=11 ; 11+6=17 ; 17+5=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 938+536 | d2:8+6+0=14→w4,c1 ; d1:3+3+1=7→w7,c0 ; d0:9+5+0=14→w4,c1 ; sum=1474 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; R:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(5,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,2) | R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
base_conversion | base_conversion:repeated-division | n=104,base=8 | DIV:104/8=13,r:0 ; DIV:13/8=1,r:5 ; DIV:1/8=0,r:1 ; OUT:150 |
base_conversion | base_conversion:via-binary | n=205,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:13 ; OUT:CD |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 9, 7, 3, 5 | [2,9,3,7,5] ; [2,3,7,9,5] ; [2,3,5,7,9] |
base_conversion | base_conversion:repeated-division | n=157,base=2 | DIV:157/2=78,r:1 ; DIV:78/2=39,r:0 ; DIV:39/2=19,r:1 ; DIV:19/2=9,r:1 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10011101 |
list_summation | list_summation:pairwise | 4, 4, 5, 9 | 4+4=8 ; 5+9=14 ; 8+14=22 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 212+993 | p100:200+900=1100 ; p10:10+90=100 ; p1:2+3=5 ; sum=1100+100+5=1205 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=-72 | 8x-24=-72 ; x=(-72--24)/8 ; x=-48/8 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,5) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(5,4) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+8=28 | 4x+8=28 ; x+2=7 ; x=7-2 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 0, 8, 6, 9 | [5,9,8,6,0] ; [9,5,8,6,0] ; [9,6,8,5,0] ; [0,6,8,5,9] ; [8,6,0,5,9] ; [5,6,0,8,9] ; [6,5,0,8,9] ; [0,5,6,8,9] ; [5,0,6,8,9] ; [0,5,6,8,9] |
base_conversion | base_conversion:repeated-division | n=178,base=8 | DIV:178/8=22,r:2 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:262 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,5) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 7, 1, 8, 3 | [1,7,4,8,3] ; [1,3,4,8,7] ; [1,3,4,8,7] ; [1,3,4,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(4,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 3, 5, 8, 1 | 3+5=8 ; 8+1=9 ; 8+9=17 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 2, 8, 5, 7 | [2,4,8,5,7] ; [2,4,5,8,7] ; [2,4,5,7,8] |
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