task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 7, 8, 3, 0 | 7+8=15 ; 3+0=3 ; 15+3=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 418+120 | p100:400+100=500 ; p10:10+20=30 ; p1:8+0=8 ; sum=500+30+8=538 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-4=-8 | 2x-4=-8 ; 2x=-4 ; x=-2 |
list_summation | list_summation:right-to-left | 6, 9, 5, 6 | 5+6=11 ; 9+11=20 ; 6+20=26 |
multidigit_addition | multidigit_addition:left-to-right-partials | 194+767 | p100:100+700=800 ; p10:90+60=150 ; p1:4+7=11 ; sum=800+150+11=961 |
base_conversion | base_conversion:decomposition | n=186,base=16 | TERM:11*16^1=176 ; TERM:10*16^0=10 ; OUT:BA |
base_conversion | base_conversion:repeated-division | n=236,base=8 | DIV:236/8=29,r:4 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:354 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=-18 | 9x+0=-18 ; x+0=-2 ; x=-2-0 ; x=-2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-36=-52 | 4x-36=-52 ; x=(-52--36)/4 ; x=-16/4 ; x=-4 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 3, 9, 4, 5 | [7,5,9,4,3] ; [9,5,7,4,3] ; [3,5,7,4,9] ; [7,5,3,4,9] ; [4,5,3,7,9] ; [5,4,3,7,9] ; [3,4,5,7,9] ; [4,3,5,7,9] ; [3,4,5,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=15 | 5x+5=15 ; x=(15-5)/5 ; x=10/5 ; x=2 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 8, 2, 3, 7 | [1,8,2,3,7] ; [1,2,8,3,7] ; [1,2,3,8,7] ; [1,2,3,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 2, 5, 3 | [8,9,2,5,3] ; [2,5,8,9,3] ; [2,3,5,8,9] |
base_conversion | base_conversion:decomposition | n=24,base=16 | TERM:1*16^1=16 ; TERM:8*16^0=8 ; OUT:18 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 1, 6, 3, 8 | [1,4,6,3,8] ; [1,4,3,6,8] ; [1,3,4,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; D:(4,1) ; R:(4,2) |
base_conversion | base_conversion:repeated-division | n=3,base=4 | DIV:3/4=0,r:3 ; OUT:3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-45=-9 | 9x-45=-9 ; 9x=36 ; x=4 |
base_conversion | base_conversion:decomposition | n=9,base=8 | TERM:1*8^1=8 ; TERM:1*8^0=1 ; OUT:11 |
list_summation | list_summation:right-to-left | 3, 8, 0, 0 | 0+0=0 ; 8+0=8 ; 3+8=11 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 2, 4, 0, 7 | [2,6,4,0,7] ; [2,4,6,0,7] ; [0,2,4,6,7] ; [0,2,4,6,7] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
list_summation | list_summation:right-to-left | 8, 2, 7, 2 | 7+2=9 ; 2+9=11 ; 8+11=19 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 4, 5, 9 | [0,4,8,5,9] ; [0,4,5,8,9] |
base_conversion | base_conversion:decomposition | n=173,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; 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:1*2^0=1 ; OUT:10101101 |
multidigit_addition | multidigit_addition:right-to-left-carry | 671+726 | d2:1+6+0=7→w7,c0 ; d1:7+2+0=9→w9,c0 ; d0:6+7+0=13→w3,c1 ; sum=1397 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-10=5 | 5x-10=5 ; x=(5--10)/5 ; x=15/5 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 2, 6, 5 | [2,8,4,6,5] ; [2,4,8,6,5] ; [2,4,5,6,8] ; [2,4,5,6,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,4) | R:(4,4) ; D:(5,4) |
list_summation | list_summation:right-to-left | 5, 7, 4, 9 | 4+9=13 ; 7+13=20 ; 5+20=25 |
base_conversion | base_conversion:repeated-division | n=255,base=4 | DIV:255/4=63,r:3 ; DIV:63/4=15,r:3 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3333 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(4,5) | 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:right-to-left-carry | 637+586 | d2:7+6+0=13→w3,c1 ; d1:3+8+1=12→w2,c1 ; d0:6+5+1=12→w2,c1 ; sum=1223 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 4, 9, 3, 5 | [3,4,9,8,5] ; [3,4,9,8,5] ; [3,4,5,8,9] ; [3,4,5,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 4, 2, 7, 1 | [4,6,2,7,1] ; [4,2,6,7,1] ; [4,2,6,1,7] ; [2,4,6,1,7] ; [2,4,1,6,7] ; [2,1,4,6,7] ; [1,2,4,6,7] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 1, 2, 9, 5 | [7,9,2,1,5] ; [9,7,2,1,5] ; [5,7,2,1,9] ; [7,5,2,1,9] ; [1,5,2,7,9] ; [5,1,2,7,9] ; [2,1,5,7,9] ; [1,2,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 6, 7, 4, 8, 0 | [6,4,7,8,0] ; [6,4,7,0,8] ; [4,6,7,0,8] ; [4,6,0,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 435+231 | round:440+231=671 ; adjust:671-5=666 ; sum=666 |
multidigit_addition | multidigit_addition:left-to-right-partials | 766+871 | p100:700+800=1500 ; p10:60+70=130 ; p1:6+1=7 ; sum=1500+130+7=1637 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+36=48 | 4x+36=48 ; x=(48-36)/4 ; x=12/4 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 8, 0, 9, 6 | [7,0,8,9,6] ; [7,0,8,6,9] ; [0,7,8,6,9] ; [0,7,6,8,9] ; [0,6,7,8,9] |
list_summation | list_summation:left-to-right | 9, 3, 2, 5 | 9+3=12 ; 12+2=14 ; 14+5=19 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+56=96 | 8x+56=96 ; x=(96-56)/8 ; x=40/8 ; x=5 |
list_summation | list_summation:left-to-right | 7, 0, 7, 6 | 7+0=7 ; 7+7=14 ; 14+6=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 285+710 | round:290+710=1000 ; adjust:1000-5=995 ; sum=995 |
list_summation | list_summation:right-to-left | 0, 8, 7, 7 | 7+7=14 ; 8+14=22 ; 0+22=22 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 3, 5, 6 | [0,3,9,5,6] ; [0,3,5,9,6] ; [0,3,5,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(1,4) | R:(0,3) ; D:(1,3) ; R:(1,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 7, 3, 5, 6 | [0,3,7,5,6] ; [0,3,5,7,6] ; [0,3,5,6,7] |
list_summation | list_summation:left-to-right | 6, 5, 4, 4 | 6+5=11 ; 11+4=15 ; 15+4=19 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 9, 4, 1, 3 | [8,9,4,1,3] ; [4,8,9,1,3] ; [1,4,8,9,3] ; [1,3,4,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+18=-36 | 6x+18=-36 ; 6x=-54 ; x=-9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+35=45 | 5x+35=45 ; x=(45-35)/5 ; x=10/5 ; x=2 |
base_conversion | base_conversion:decomposition | n=188,base=8 | TERM:2*8^2=128 ; TERM:7*8^1=56 ; TERM:4*8^0=4 ; OUT:274 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
list_summation | list_summation:right-to-left | 5, 3, 0, 7 | 0+7=7 ; 3+7=10 ; 5+10=15 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 6, 7, 5 | [0,6,8,7,5] ; [0,6,7,8,5] ; [0,6,7,5,8] ; [0,6,5,7,8] ; [0,5,6,7,8] |
base_conversion | base_conversion:repeated-division | n=233,base=4 | DIV:233/4=58,r:1 ; DIV:58/4=14,r:2 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3221 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+28=48 | 4x+28=48 ; 4x=20 ; x=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 355+523 | p100:300+500=800 ; p10:50+20=70 ; p1:5+3=8 ; sum=800+70+8=878 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(4,2) | D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
base_conversion | base_conversion:via-binary | n=239,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:5 ; CHUNK:2:7 ; OUT:357 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 3, 7, 5, 5 | 3+7=10 ; 5+5=10 ; 10+10=20 |
multidigit_addition | multidigit_addition:right-to-left-carry | 663+498 | d2:3+8+0=11→w1,c1 ; d1:6+9+1=16→w6,c1 ; d0:6+4+1=11→w1,c1 ; sum=1161 |
multidigit_addition | multidigit_addition:rounding-decomposition | 750+488 | round:750+488=1238 ; adjust:1238-0=1238 ; sum=1238 |
multidigit_addition | multidigit_addition:left-to-right-partials | 173+924 | p100:100+900=1000 ; p10:70+20=90 ; p1:3+4=7 ; sum=1000+90+7=1097 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+12=30 | 3x+12=30 ; x+4=10 ; x=10-4 ; x=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+0=15 | 5x+0=15 ; x+0=3 ; x=3-0 ; x=3 |
list_summation | list_summation:left-to-right | 3, 6, 4, 7 | 3+6=9 ; 9+4=13 ; 13+7=20 |
list_summation | list_summation:pairwise | 9, 8, 1, 1 | 9+8=17 ; 1+1=2 ; 17+2=19 |
list_summation | list_summation:pairwise | 1, 8, 4, 9 | 1+8=9 ; 4+9=13 ; 9+13=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-24 | 8x-48=-24 ; x=(-24--48)/8 ; x=24/8 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 1, 7, 8, 4 | [1,5,7,8,4] ; [1,4,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,4) | R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
base_conversion | base_conversion:repeated-division | n=57,base=16 | DIV:57/16=3,r:9 ; DIV:3/16=0,r:3 ; OUT:39 |
multidigit_addition | multidigit_addition:right-to-left-carry | 226+689 | d2:6+9+0=15→w5,c1 ; d1:2+8+1=11→w1,c1 ; d0:2+6+1=9→w9,c0 ; sum=915 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 371+481 | p100:300+400=700 ; p10:70+80=150 ; p1:1+1=2 ; sum=700+150+2=852 |
base_conversion | base_conversion:via-binary | n=243,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:3303 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=6 | 3x+0=6 ; x=(6-0)/3 ; x=6/3 ; x=2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 901+784 | p100:900+700=1600 ; p10:0+80=80 ; p1:1+4=5 ; sum=1600+80+5=1685 |
base_conversion | base_conversion:repeated-division | n=59,base=2 | 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:111011 |
base_conversion | base_conversion:decomposition | n=139,base=16 | TERM:8*16^1=128 ; TERM:11*16^0=11 ; OUT:8B |
multidigit_addition | multidigit_addition:right-to-left-carry | 335+249 | d2:5+9+0=14→w4,c1 ; d1:3+4+1=8→w8,c0 ; d0:3+2+0=5→w5,c0 ; sum=584 |
base_conversion | base_conversion:decomposition | n=73,base=8 | TERM:1*8^2=64 ; TERM:1*8^1=8 ; TERM:1*8^0=1 ; OUT:111 |
base_conversion | base_conversion:decomposition | n=50,base=4 | TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:2*4^0=2 ; OUT:302 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+30=36 | 6x+30=36 ; x=(36-30)/6 ; x=6/6 ; x=1 |
list_summation | list_summation:right-to-left | 0, 9, 7, 1 | 7+1=8 ; 9+8=17 ; 0+17=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(4,4) | D:(1,3) ; D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
base_conversion | base_conversion:repeated-division | n=140,base=2 | DIV:140/2=70,r:0 ; DIV:70/2=35,r:0 ; 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:10001100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(4,2) | R:(3,1) ; D:(4,1) ; R:(4,2) |
base_conversion | base_conversion:via-binary | n=24,base=8 | BINLEN:5 ; CHUNK:0:3 ; CHUNK:1:0 ; OUT:30 |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 3, 0, 7, 2 | [0,3,9,7,2] ; [0,2,9,7,3] ; [0,2,3,7,9] ; [0,2,3,7,9] |
base_conversion | base_conversion:repeated-division | n=14,base=8 | DIV:14/8=1,r:6 ; DIV:1/8=0,r:1 ; OUT:16 |
base_conversion | base_conversion:via-binary | n=31,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:11111 |
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