task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:left-to-right | 9, 2, 3, 7 | 9+2=11 ; 11+3=14 ; 14+7=21 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 4, 7, 6, 9 | [0,9,7,6,4] ; [9,0,7,6,4] ; [9,6,7,0,4] ; [4,6,7,0,9] ; [7,6,4,0,9] ; [0,6,4,7,9] ; [6,0,4,7,9] ; [4,0,6,7,9] ; [0,4,6,7,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 351+405 | d2:1+5+0=6→w6,c0 ; d1:5+0+0=5→w5,c0 ; d0:3+4+0=7→w7,c0 ; sum=756 |
list_summation | list_summation:pairwise | 3, 5, 7, 3 | 3+5=8 ; 7+3=10 ; 8+10=18 |
base_conversion | base_conversion:via-binary | n=56,base=16 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:8 ; OUT:38 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=-24 | 4x+12=-24 ; x+3=-6 ; x=-6-3 ; x=-9 |
base_conversion | base_conversion:repeated-division | n=236,base=2 | DIV:236/2=118,r:0 ; 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:11101100 |
list_summation | list_summation:pairwise | 8, 1, 5, 9 | 8+1=9 ; 5+9=14 ; 9+14=23 |
list_summation | list_summation:pairwise | 6, 7, 2, 3 | 6+7=13 ; 2+3=5 ; 13+5=18 |
base_conversion | base_conversion:repeated-division | n=66,base=4 | DIV:66/4=16,r:2 ; DIV:16/4=4,r:0 ; DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:1002 |
list_summation | list_summation:pairwise | 6, 4, 9, 6 | 6+4=10 ; 9+6=15 ; 10+15=25 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 1, 3, 7 | [0,1,9,3,7] ; [0,1,3,9,7] ; [0,1,3,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 254+832 | p100:200+800=1000 ; p10:50+30=80 ; p1:4+2=6 ; sum=1000+80+6=1086 |
list_summation | list_summation:left-to-right | 8, 9, 6, 5 | 8+9=17 ; 17+6=23 ; 23+5=28 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-4=32 | 4x-4=32 ; 4x=36 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(5,5) | R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 6, 7, 0 | [1,5,6,7,0] ; [1,5,6,7,0] ; [1,5,6,7,0] ; [0,1,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+35=21 | 7x+35=21 ; x+5=3 ; x=3-5 ; x=-2 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 8, 9, 3 | [3,4,7,8,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 0, 6, 7, 9 | [0,2,6,7,9] ; [0,2,6,7,9] ; [0,2,6,7,9] ; [0,2,6,7,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 9, 5, 7 | [0,2,9,5,7] ; [0,2,5,9,7] ; [0,2,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 279+516 | round:280+516=796 ; adjust:796-1=795 ; sum=795 |
list_summation | list_summation:pairwise | 2, 9, 3, 3 | 2+9=11 ; 3+3=6 ; 11+6=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 548+691 | p100:500+600=1100 ; p10:40+90=130 ; p1:8+1=9 ; sum=1100+130+9=1239 |
multidigit_addition | multidigit_addition:rounding-decomposition | 570+352 | round:570+352=922 ; adjust:922-0=922 ; sum=922 |
multidigit_addition | multidigit_addition:rounding-decomposition | 603+421 | round:610+421=1031 ; adjust:1031-7=1024 ; sum=1024 |
base_conversion | base_conversion:via-binary | n=56,base=4 | BINLEN:6 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:0 ; OUT:320 |
base_conversion | base_conversion:repeated-division | n=44,base=2 | DIV:44/2=22,r:0 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:101100 |
multidigit_addition | multidigit_addition:right-to-left-carry | 821+571 | d2:1+1+0=2→w2,c0 ; d1:2+7+0=9→w9,c0 ; d0:8+5+0=13→w3,c1 ; sum=1392 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+14=56 | 7x+14=56 ; 7x=42 ; x=6 |
base_conversion | base_conversion:decomposition | n=90,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:1122 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 1, 6, 7, 9 | [1,2,6,7,9] ; [1,2,6,7,9] ; [1,2,6,7,9] ; [1,2,6,7,9] |
base_conversion | base_conversion:repeated-division | n=9,base=16 | DIV:9/16=0,r:9 ; OUT:9 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 8, 5, 2, 1 | [7,8,5,2,1] ; [5,7,8,2,1] ; [2,5,7,8,1] ; [1,2,5,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 981+204 | round:990+204=1194 ; adjust:1194-9=1185 ; sum=1185 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 9, 7, 4, 8 | [9,1,7,4,8] ; [9,8,7,4,1] ; [1,8,7,4,9] ; [8,1,7,4,9] ; [8,4,7,1,9] ; [1,4,7,8,9] ; [7,4,1,8,9] ; [1,4,7,8,9] ; [4,1,7,8,9] ; [1,4,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 771+201 | round:780+201=981 ; adjust:981-9=972 ; sum=972 |
base_conversion | base_conversion:repeated-division | n=223,base=8 | DIV:223/8=27,r:7 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:337 |
base_conversion | base_conversion:repeated-division | n=124,base=4 | DIV:124/4=31,r:0 ; DIV:31/4=7,r:3 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1330 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-36 | 9x-72=-36 ; x+-8=-4 ; x=-4--8 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(1,3) | R:(0,1) ; D:(1,1) ; R:(1,2) ; R:(1,3) |
base_conversion | base_conversion:decomposition | n=217,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:1*8^0=1 ; OUT:331 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
base_conversion | base_conversion:via-binary | n=184,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:2320 |
list_summation | list_summation:pairwise | 3, 6, 4, 4 | 3+6=9 ; 4+4=8 ; 9+8=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 824+582 | round:830+582=1412 ; adjust:1412-6=1406 ; sum=1406 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-36=-6 | 6x-36=-6 ; 6x=30 ; x=5 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+30=15 | 5x+30=15 ; 5x=-15 ; x=-3 |
multidigit_addition | multidigit_addition:left-to-right-partials | 392+445 | p100:300+400=700 ; p10:90+40=130 ; p1:2+5=7 ; sum=700+130+7=837 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,2) | R:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 4, 3, 2, 8 | [4,5,3,2,8] ; [3,4,5,2,8] ; [2,3,4,5,8] ; [2,3,4,5,8] |
list_summation | list_summation:pairwise | 5, 7, 8, 7 | 5+7=12 ; 8+7=15 ; 12+15=27 |
list_summation | list_summation:pairwise | 7, 9, 4, 5 | 7+9=16 ; 4+5=9 ; 16+9=25 |
list_summation | list_summation:left-to-right | 7, 2, 9, 3 | 7+2=9 ; 9+9=18 ; 18+3=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+7=42 | 7x+7=42 ; x=(42-7)/7 ; x=35/7 ; x=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=18 | 6x+6=18 ; x=(18-6)/6 ; x=12/6 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
list_summation | list_summation:pairwise | 9, 3, 6, 4 | 9+3=12 ; 6+4=10 ; 12+10=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-20=-50 | 5x-20=-50 ; 5x=-30 ; x=-6 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+48=24 | 8x+48=24 ; 8x=-24 ; x=-3 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 5, 7, 3, 1 | [4,5,7,3,1] ; [4,5,7,3,1] ; [3,4,5,7,1] ; [1,3,4,5,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 362+487 | round:370+487=857 ; adjust:857-8=849 ; sum=849 |
base_conversion | base_conversion:decomposition | n=34,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:100010 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 8, 9, 3, 4 | [6,8,9,3,4] ; [6,8,9,3,4] ; [3,6,8,9,4] ; [3,4,6,8,9] |
base_conversion | base_conversion:decomposition | n=236,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11101100 |
list_summation | list_summation:pairwise | 7, 8, 6, 0 | 7+8=15 ; 6+0=6 ; 15+6=21 |
list_summation | list_summation:right-to-left | 9, 1, 9, 3 | 9+3=12 ; 1+12=13 ; 9+13=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=-12 | 4x+12=-12 ; x+3=-3 ; x=-3-3 ; x=-6 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+16=56 | 8x+16=56 ; x+2=7 ; x=7-2 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 807+606 | d2:7+6+0=13→w3,c1 ; d1:0+0+1=1→w1,c0 ; d0:8+6+0=14→w4,c1 ; sum=1413 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+6=0 | 6x+6=0 ; x+1=0 ; x=0-1 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+8=24 | 8x+8=24 ; 8x=16 ; x=2 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 8, 6, 7, 5 | [8,3,6,7,5] ; [8,7,6,3,5] ; [5,7,6,3,8] ; [7,5,6,3,8] ; [3,5,6,7,8] ; [6,5,3,7,8] ; [3,5,6,7,8] ; [5,3,6,7,8] ; [3,5,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 559+954 | round:560+954=1514 ; adjust:1514-1=1513 ; sum=1513 |
list_summation | list_summation:pairwise | 0, 0, 9, 9 | 0+0=0 ; 9+9=18 ; 0+18=18 |
list_summation | list_summation:pairwise | 4, 7, 5, 6 | 4+7=11 ; 5+6=11 ; 11+11=22 |
base_conversion | base_conversion:repeated-division | n=35,base=2 | DIV:35/2=17,r:1 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:100011 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=139,base=2 | DIV:139/2=69,r:1 ; DIV:69/2=34,r:1 ; DIV:34/2=17,r:0 ; DIV:17/2=8,r:1 ; DIV:8/2=4,r:0 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10001011 |
list_summation | list_summation:right-to-left | 8, 9, 1, 3 | 1+3=4 ; 9+4=13 ; 8+13=21 |
base_conversion | base_conversion:via-binary | n=12,base=8 | BINLEN:4 ; CHUNK:0:1 ; CHUNK:1:4 ; OUT:14 |
base_conversion | base_conversion:via-binary | n=185,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:1 ; OUT:271 |
multidigit_addition | multidigit_addition:rounding-decomposition | 333+176 | round:340+176=516 ; adjust:516-7=509 ; sum=509 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 2, 7, 6 | [8,9,2,7,6] ; [2,7,8,9,6] ; [2,6,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 417+145 | round:420+145=565 ; adjust:565-3=562 ; sum=562 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,4) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:pairwise | 4, 3, 6, 4 | 4+3=7 ; 6+4=10 ; 7+10=17 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 3, 5, 6 | [7,6,3,5,0] ; [0,6,3,5,7] ; [6,0,3,5,7] ; [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] |
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 | 337+538 | p100:300+500=800 ; p10:30+30=60 ; p1:7+8=15 ; sum=800+60+15=875 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 4, 6, 3, 1 | [1,4,6,3,7] ; [6,4,1,3,7] ; [3,4,1,6,7] ; [4,3,1,6,7] ; [1,3,4,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
base_conversion | base_conversion:repeated-division | n=194,base=8 | DIV:194/8=24,r:2 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:302 |
list_summation | list_summation:right-to-left | 9, 0, 4, 7 | 4+7=11 ; 0+11=11 ; 9+11=20 |
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