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:subtract-then-divide | 2x-8=8 | 2x-8=8 ; 2x=16 ; x=8 |
base_conversion | base_conversion:via-binary | n=132,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10000100 |
base_conversion | base_conversion:decomposition | n=79,base=2 | TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:1*2^2=4 ; TERM:1*2^1=2 ; TERM:1*2^0=1 ; OUT:1001111 |
base_conversion | base_conversion:decomposition | n=73,base=16 | TERM:4*16^1=64 ; TERM:9*16^0=9 ; OUT:49 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-35=-98 | 7x-35=-98 ; x+-5=-14 ; x=-14--5 ; x=-9 |
list_summation | list_summation:right-to-left | 3, 7, 0, 4 | 0+4=4 ; 7+4=11 ; 3+11=14 |
base_conversion | base_conversion:repeated-division | n=3,base=16 | DIV:3/16=0,r:3 ; OUT:3 |
base_conversion | base_conversion:decomposition | n=249,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:3321 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 7, 8, 2 | [1,9,7,8,2] ; [1,7,9,8,2] ; [1,7,8,9,2] ; [1,7,8,2,9] ; [1,7,2,8,9] ; [1,2,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:decomposition | n=40,base=4 | TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:220 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=22 | 2x+18=22 ; 2x=4 ; x=2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=-99 | 9x-45=-99 ; 9x=-54 ; x=-6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=112 | 8x+56=112 ; x=(112-56)/8 ; x=56/8 ; x=7 |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-5=-5 | 5x-5=-5 ; x=(-5--5)/5 ; x=0/5 ; x=0 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(3,4) | D:(2,3) ; D:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 6, 3, 7 | [8,9,6,3,7] ; [6,8,9,3,7] ; [3,6,8,9,7] ; [3,6,7,8,9] |
base_conversion | base_conversion:decomposition | n=217,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:0*2^5=0 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:11011001 |
multidigit_addition | multidigit_addition:rounding-decomposition | 876+612 | round:880+612=1492 ; adjust:1492-4=1488 ; sum=1488 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-81 | 9x-72=-81 ; x+-8=-9 ; x=-9--8 ; x=-1 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(5,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 258+258 | d2:8+8+0=16→w6,c1 ; d1:5+5+1=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=516 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-20=-45 | 5x-20=-45 ; x=(-45--20)/5 ; x=-25/5 ; x=-5 |
list_summation | list_summation:pairwise | 2, 1, 3, 9 | 2+1=3 ; 3+9=12 ; 3+12=15 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 8, 4, 7 | [0,3,8,4,7] ; [0,3,8,4,7] ; [0,3,4,8,7] ; [0,3,4,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 692+869 | p100:600+800=1400 ; p10:90+60=150 ; p1:2+9=11 ; sum=1400+150+11=1561 |
multidigit_addition | multidigit_addition:left-to-right-partials | 558+533 | p100:500+500=1000 ; p10:50+30=80 ; p1:8+3=11 ; sum=1000+80+11=1091 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-72=-9 | 9x-72=-9 ; x+-8=-1 ; x=-1--8 ; x=7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,1) ; G=(1,4) | R:(0,2) ; R:(0,3) ; R:(0,4) ; D:(1,4) |
base_conversion | base_conversion:via-binary | n=2,base=4 | BINLEN:2 ; CHUNK:0:2 ; OUT:2 |
list_summation | list_summation:pairwise | 2, 0, 9, 3 | 2+0=2 ; 9+3=12 ; 2+12=14 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-18 | 9x+18=-18 ; 9x=-36 ; x=-4 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 2, 5, 7, 1 | [1,2,5,7,9] ; [1,2,5,7,9] ; [1,2,5,7,9] ; [1,2,5,7,9] |
list_summation | list_summation:right-to-left | 9, 2, 5, 0 | 5+0=5 ; 2+5=7 ; 9+7=16 |
base_conversion | base_conversion:repeated-division | n=221,base=4 | DIV:221/4=55,r:1 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3131 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-30=10 | 5x-30=10 ; x+-6=2 ; x=2--6 ; x=8 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+36=12 | 6x+36=12 ; 6x=-24 ; x=-4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=7 | 7x-35=7 ; 7x=42 ; x=6 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 5, 9, 0, 4 | [3,5,0,9,4] ; [3,5,0,4,9] ; [3,0,5,4,9] ; [3,0,4,5,9] ; [0,3,4,5,9] |
base_conversion | base_conversion:via-binary | n=87,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; OUT:1010111 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 3, 6, 4 | [2,3,6,7,4] ; [2,3,4,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 432+928 | round:440+928=1368 ; adjust:1368-8=1360 ; sum=1360 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 2, 4, 6, 9 | [2,3,4,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 992+559 | p100:900+500=1400 ; p10:90+50=140 ; p1:2+9=11 ; sum=1400+140+11=1551 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+16=18 | 2x+16=18 ; 2x=2 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 0, 7, 5, 8, 1 | [0,8,5,7,1] ; [8,0,5,7,1] ; [8,7,5,0,1] ; [1,7,5,0,8] ; [7,1,5,0,8] ; [0,1,5,7,8] ; [5,1,0,7,8] ; [0,1,5,7,8] ; [1,0,5,7,8] ; [0,1,5,7,8] |
list_summation | list_summation:left-to-right | 5, 1, 0, 2 | 5+1=6 ; 6+0=6 ; 6+2=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 3, 4, 1, 8 | [2,3,1,4,8] ; [1,2,3,4,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 125+365 | d2:5+5+0=10→w0,c1 ; d1:2+6+1=9→w9,c0 ; d0:1+3+0=4→w4,c0 ; sum=490 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,4) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
base_conversion | base_conversion:decomposition | n=4,base=4 | TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:10 |
list_summation | list_summation:pairwise | 6, 8, 4, 1 | 6+8=14 ; 4+1=5 ; 14+5=19 |
base_conversion | base_conversion:decomposition | n=64,base=16 | TERM:4*16^1=64 ; TERM:0*16^0=0 ; OUT:40 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(5,5) | D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
list_summation | list_summation:pairwise | 5, 3, 2, 8 | 5+3=8 ; 2+8=10 ; 8+10=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 471+779 | p100:400+700=1100 ; p10:70+70=140 ; p1:1+9=10 ; sum=1100+140+10=1250 |
base_conversion | base_conversion:repeated-division | n=130,base=8 | DIV:130/8=16,r:2 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:202 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 0, 4, 2, 8 | [0,6,4,2,8] ; [0,6,2,4,8] ; [0,2,4,6,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 318+489 | d2:8+9+0=17→w7,c1 ; d1:1+8+1=10→w0,c1 ; d0:3+4+1=8→w8,c0 ; sum=807 |
multidigit_addition | multidigit_addition:rounding-decomposition | 877+514 | round:880+514=1394 ; adjust:1394-3=1391 ; sum=1391 |
base_conversion | base_conversion:via-binary | n=114,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; OUT:1110010 |
base_conversion | base_conversion:via-binary | n=188,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:7 ; CHUNK:2:4 ; OUT:274 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 1, 9, 7, 3 | [2,7,9,1,3] ; [9,7,2,1,3] ; [3,7,2,1,9] ; [7,3,2,1,9] ; [1,3,2,7,9] ; [3,1,2,7,9] ; [2,1,3,7,9] ; [1,2,3,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 6, 1, 4, 0 | [6,7,1,4,0] ; [6,1,7,4,0] ; [6,1,4,7,0] ; [6,1,4,0,7] ; [1,6,4,0,7] ; [1,4,6,0,7] ; [1,4,0,6,7] ; [1,0,4,6,7] ; [0,1,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 5, 1, 6, 3 | [1,5,4,6,3] ; [1,3,4,6,5] ; [1,3,4,6,5] ; [1,3,4,5,6] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 2, 9, 0, 9 | 0+9=9 ; 9+9=18 ; 2+18=20 |
list_summation | list_summation:pairwise | 5, 9, 7, 9 | 5+9=14 ; 7+9=16 ; 14+16=30 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(3,5) | R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,4) | R:(2,3) ; D:(3,3) ; R:(3,4) |
base_conversion | base_conversion:via-binary | n=216,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; OUT:330 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 2, 7, 6, 5 | [2,4,7,6,5] ; [2,4,7,6,5] ; [2,4,6,7,5] ; [2,4,5,6,7] |
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) |
list_summation | list_summation:pairwise | 0, 4, 0, 3 | 0+4=4 ; 0+3=3 ; 4+3=7 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 8, 9, 4 | [6,9,8,0,4] ; [9,6,8,0,4] ; [4,6,8,0,9] ; [8,6,4,0,9] ; [0,6,4,8,9] ; [6,0,4,8,9] ; [4,0,6,8,9] ; [0,4,6,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 134+213 | p100:100+200=300 ; p10:30+10=40 ; p1:4+3=7 ; sum=300+40+7=347 |
list_summation | list_summation:pairwise | 5, 6, 4, 5 | 5+6=11 ; 4+5=9 ; 11+9=20 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 6, 7, 3, 1 | [0,6,3,7,1] ; [0,3,6,7,1] ; [0,1,3,6,7] |
base_conversion | base_conversion:repeated-division | n=250,base=16 | DIV:250/16=15,r:10 ; DIV:15/16=0,r:15 ; OUT:FA |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 3, 5, 4 | [2,7,3,5,4] ; [2,3,7,5,4] ; [2,3,5,7,4] ; [2,3,4,5,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+40=32 | 8x+40=32 ; x=(32-40)/8 ; x=-8/8 ; x=-1 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 7, 4, 3 | [6,4,7,1,3] ; [7,4,6,1,3] ; [3,4,6,1,7] ; [6,4,3,1,7] ; [1,4,3,6,7] ; [4,1,3,6,7] ; [3,1,4,6,7] ; [1,3,4,6,7] |
base_conversion | base_conversion:repeated-division | n=120,base=8 | DIV:120/8=15,r:0 ; DIV:15/8=1,r:7 ; DIV:1/8=0,r:1 ; OUT:170 |
list_summation | list_summation:right-to-left | 0, 9, 6, 0 | 6+0=6 ; 9+6=15 ; 0+15=15 |
list_summation | list_summation:left-to-right | 7, 6, 3, 2 | 7+6=13 ; 13+3=16 ; 16+2=18 |
list_summation | list_summation:right-to-left | 7, 1, 5, 9 | 5+9=14 ; 1+14=15 ; 7+15=22 |
list_summation | list_summation:left-to-right | 7, 6, 1, 0 | 7+6=13 ; 13+1=14 ; 14+0=14 |
list_summation | list_summation:left-to-right | 4, 2, 5, 6 | 4+2=6 ; 6+5=11 ; 11+6=17 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 4, 5, 2, 8 | [3,4,5,2,8] ; [3,4,5,2,8] ; [2,3,4,5,8] ; [2,3,4,5,8] |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 7, 4, 5, 8 | [2,8,4,5,7] ; [8,2,4,5,7] ; [8,7,4,5,2] ; [2,7,4,5,8] ; [7,2,4,5,8] ; [7,5,4,2,8] ; [2,5,4,7,8] ; [5,2,4,7,8] ; [4,2,5,7,8] ; [2,4,5,7,8] |
list_summation | list_summation:pairwise | 4, 0, 0, 2 | 4+0=4 ; 0+2=2 ; 4+2=6 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 4, 7, 1, 5 | [2,4,1,7,5] ; [1,2,4,7,5] ; [1,2,4,5,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+12=8 | 4x+12=8 ; x+3=2 ; x=2-3 ; x=-1 |
list_summation | list_summation:left-to-right | 3, 0, 2, 3 | 3+0=3 ; 3+2=5 ; 5+3=8 |
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