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 | 5x-25=-45 | 5x-25=-45 ; 5x=-20 ; x=-4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(4,5) | R:(3,4) ; R:(3,5) ; D:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+35=56 | 7x+35=56 ; x+5=8 ; x=8-5 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+18=-54 | 9x+18=-54 ; 9x=-72 ; x=-8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 3, 6, 9, 7 | [3,5,6,9,7] ; [3,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=-16 | 8x+8=-16 ; x+1=-2 ; x=-2-1 ; x=-3 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,2) | D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:repeated-division | n=120,base=4 | DIV:120/4=30,r:0 ; DIV:30/4=7,r:2 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:1320 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 1, 4, 6 | [1,2,4,7,6] ; [1,2,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 391+510 | p100:300+500=800 ; p10:90+10=100 ; p1:1+0=1 ; sum=800+100+1=901 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-48=-84 | 6x-48=-84 ; x+-8=-14 ; x=-14--8 ; x=-6 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,5) | D:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) |
base_conversion | base_conversion:decomposition | n=182,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:2312 |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 9, 0, 6, 5 | [1,0,9,6,5] ; [1,0,6,9,5] ; [1,0,6,5,9] ; [0,1,6,5,9] ; [0,1,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=-66 | 6x-12=-66 ; x=(-66--12)/6 ; x=-54/6 ; x=-9 |
base_conversion | base_conversion:via-binary | n=76,base=2 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:0 ; OUT:1001100 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 4, 7, 0 | [8,5,4,7,0] ; [8,7,4,5,0] ; [0,7,4,5,8] ; [7,0,4,5,8] ; [7,5,4,0,8] ; [0,5,4,7,8] ; [5,0,4,7,8] ; [4,0,5,7,8] ; [0,4,5,7,8] |
base_conversion | base_conversion:decomposition | n=39,base=16 | TERM:2*16^1=32 ; TERM:7*16^0=7 ; OUT:27 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,3) ; G=(5,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 5, 7, 3, 8 | [5,9,7,3,8] ; [5,7,9,3,8] ; [5,7,3,9,8] ; [5,7,3,8,9] ; [5,3,7,8,9] ; [3,5,7,8,9] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 4, 0, 7 | [8,9,4,0,7] ; [8,9,0,4,7] ; [0,4,8,9,7] ; [0,4,7,8,9] |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-64=-24 | 8x-64=-24 ; 8x=40 ; x=5 |
list_summation | list_summation:left-to-right | 6, 3, 5, 6 | 6+3=9 ; 9+5=14 ; 14+6=20 |
list_summation | list_summation:pairwise | 5, 1, 7, 4 | 5+1=6 ; 7+4=11 ; 6+11=17 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+28=49 | 7x+28=49 ; x=(49-28)/7 ; x=21/7 ; x=3 |
base_conversion | base_conversion:repeated-division | n=250,base=16 | DIV:250/16=15,r:10 ; DIV:15/16=0,r:15 ; OUT:FA |
base_conversion | base_conversion:repeated-division | n=8,base=8 | DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:10 |
base_conversion | base_conversion:repeated-division | n=193,base=16 | DIV:193/16=12,r:1 ; DIV:12/16=0,r:12 ; OUT:C1 |
list_summation | list_summation:right-to-left | 5, 4, 9, 5 | 9+5=14 ; 4+14=18 ; 5+18=23 |
list_summation | list_summation:left-to-right | 2, 2, 7, 9 | 2+2=4 ; 4+7=11 ; 11+9=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,3) | R:(3,1) ; R:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 784+310 | p100:700+300=1000 ; p10:80+10=90 ; p1:4+0=4 ; sum=1000+90+4=1094 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(5,3) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:pairwise | 0, 5, 4, 5 | 0+5=5 ; 4+5=9 ; 5+9=14 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 6, 7, 3 | [0,4,6,7,3] ; [0,3,6,7,4] ; [0,3,4,7,6] ; [0,3,4,6,7] |
list_summation | list_summation:right-to-left | 5, 5, 2, 2 | 2+2=4 ; 5+4=9 ; 5+9=14 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+12=-6 | 6x+12=-6 ; x+2=-1 ; x=-1-2 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 7, 0, 8 | [0,2,7,5,8] ; [0,2,7,5,8] ; [0,2,5,7,8] ; [0,2,5,7,8] |
base_conversion | base_conversion:repeated-division | n=62,base=4 | DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:332 |
multidigit_addition | multidigit_addition:right-to-left-carry | 700+103 | d2:0+3+0=3→w3,c0 ; d1:0+0+0=0→w0,c0 ; d0:7+1+0=8→w8,c0 ; sum=803 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 4, 6, 7, 1 | [2,4,6,1,7] ; [2,4,1,6,7] ; [2,1,4,6,7] ; [1,2,4,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+20=45 | 5x+20=45 ; 5x=25 ; x=5 |
list_summation | list_summation:pairwise | 6, 3, 9, 3 | 6+3=9 ; 9+3=12 ; 9+12=21 |
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) |
base_conversion | base_conversion:via-binary | n=140,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:4 ; OUT:214 |
list_summation | list_summation:left-to-right | 6, 1, 9, 8 | 6+1=7 ; 7+9=16 ; 16+8=24 |
list_summation | list_summation:left-to-right | 9, 5, 2, 0 | 9+5=14 ; 14+2=16 ; 16+0=16 |
list_summation | list_summation:right-to-left | 8, 0, 3, 2 | 3+2=5 ; 0+5=5 ; 8+5=13 |
base_conversion | base_conversion:via-binary | n=50,base=8 | BINLEN:6 ; CHUNK:0:6 ; CHUNK:1:2 ; OUT:62 |
base_conversion | base_conversion:repeated-division | n=29,base=4 | DIV:29/4=7,r:1 ; DIV:7/4=1,r:3 ; DIV:1/4=0,r:1 ; OUT:131 |
list_summation | list_summation:pairwise | 6, 7, 4, 3 | 6+7=13 ; 4+3=7 ; 13+7=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 2, 6, 3 | [5,8,2,6,3] ; [2,5,8,6,3] ; [2,5,6,8,3] ; [2,3,5,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 886+697 | p100:800+600=1400 ; p10:80+90=170 ; p1:6+7=13 ; sum=1400+170+13=1583 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,5) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
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:left-to-right | 8, 0, 3, 4 | 8+0=8 ; 8+3=11 ; 11+4=15 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-45=-18 | 9x-45=-18 ; x+-5=-2 ; x=-2--5 ; x=3 |
list_summation | list_summation:pairwise | 8, 0, 0, 1 | 8+0=8 ; 0+1=1 ; 8+1=9 |
list_summation | list_summation:right-to-left | 4, 7, 1, 9 | 1+9=10 ; 7+10=17 ; 4+17=21 |
list_summation | list_summation:pairwise | 4, 9, 1, 4 | 4+9=13 ; 1+4=5 ; 13+5=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+10=14 | 2x+10=14 ; x+5=7 ; x=7-5 ; x=2 |
base_conversion | base_conversion:via-binary | n=231,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100111 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=63 | 9x-18=63 ; x=(63--18)/9 ; x=81/9 ; x=9 |
list_summation | list_summation:pairwise | 8, 9, 7, 0 | 8+9=17 ; 7+0=7 ; 17+7=24 |
multidigit_addition | multidigit_addition:rounding-decomposition | 964+912 | round:970+912=1882 ; adjust:1882-6=1876 ; sum=1876 |
base_conversion | base_conversion:decomposition | n=135,base=16 | TERM:8*16^1=128 ; TERM:7*16^0=7 ; OUT:87 |
base_conversion | base_conversion:repeated-division | n=149,base=4 | DIV:149/4=37,r:1 ; DIV:37/4=9,r:1 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2111 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 9, 1, 2 | [5,6,9,1,2] ; [5,6,9,1,2] ; [1,5,6,9,2] ; [1,2,5,6,9] |
list_summation | list_summation:right-to-left | 8, 0, 5, 8 | 5+8=13 ; 0+13=13 ; 8+13=21 |
multidigit_addition | multidigit_addition:right-to-left-carry | 900+203 | d2:0+3+0=3→w3,c0 ; d1:0+0+0=0→w0,c0 ; d0:9+2+0=11→w1,c1 ; sum=1103 |
multidigit_addition | multidigit_addition:right-to-left-carry | 264+355 | d2:4+5+0=9→w9,c0 ; d1:6+5+0=11→w1,c1 ; d0:2+3+1=6→w6,c0 ; sum=619 |
multidigit_addition | multidigit_addition:left-to-right-partials | 876+132 | p100:800+100=900 ; p10:70+30=100 ; p1:6+2=8 ; sum=900+100+8=1008 |
multidigit_addition | multidigit_addition:rounding-decomposition | 684+421 | round:690+421=1111 ; adjust:1111-6=1105 ; sum=1105 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,5) | D:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 749+838 | round:750+838=1588 ; adjust:1588-1=1587 ; sum=1587 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,4) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
base_conversion | base_conversion:repeated-division | n=90,base=16 | DIV:90/16=5,r:10 ; DIV:5/16=0,r:5 ; OUT:5A |
sorting_algorithms | sorting_algorithms:selection-sort | 5, 2, 4, 3, 0 | [0,2,4,3,5] ; [0,2,4,3,5] ; [0,2,3,4,5] ; [0,2,3,4,5] |
list_summation | list_summation:left-to-right | 6, 5, 9, 8 | 6+5=11 ; 11+9=20 ; 20+8=28 |
list_summation | list_summation:pairwise | 7, 2, 2, 8 | 7+2=9 ; 2+8=10 ; 9+10=19 |
multidigit_addition | multidigit_addition:right-to-left-carry | 110+121 | d2:0+1+0=1→w1,c0 ; d1:1+2+0=3→w3,c0 ; d0:1+1+0=2→w2,c0 ; sum=231 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 1, 4, 5, 3 | [6,5,4,1,3] ; [3,5,4,1,6] ; [5,3,4,1,6] ; [1,3,4,5,6] ; [4,3,1,5,6] ; [1,3,4,5,6] ; [3,1,4,5,6] ; [1,3,4,5,6] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+54=63 | 9x+54=63 ; x+6=7 ; x=7-6 ; x=1 |
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 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 0, 7, 4 | [2,0,6,7,4] ; [2,0,6,4,7] ; [0,2,6,4,7] ; [0,2,4,6,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-28=-52 | 4x-28=-52 ; 4x=-24 ; x=-6 |
list_summation | list_summation:right-to-left | 6, 6, 9, 1 | 9+1=10 ; 6+10=16 ; 6+16=22 |
list_summation | list_summation:left-to-right | 1, 4, 8, 6 | 1+4=5 ; 5+8=13 ; 13+6=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-27=54 | 9x-27=54 ; 9x=81 ; x=9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+32=16 | 4x+32=16 ; x+8=4 ; x=4-8 ; x=-4 |
base_conversion | base_conversion:decomposition | n=48,base=4 | TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:300 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,4) | R:(3,4) ; D:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=22,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:6 ; OUT:16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 812+449 | round:820+449=1269 ; adjust:1269-8=1261 ; sum=1261 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 2, 5, 8, 1 | [2,3,5,8,1] ; [2,3,5,1,8] ; [2,3,1,5,8] ; [2,1,3,5,8] ; [1,2,3,5,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+36=42 | 6x+36=42 ; x+6=7 ; x=7-6 ; x=1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 110+281 | p100:100+200=300 ; p10:10+80=90 ; p1:0+1=1 ; sum=300+90+1=391 |
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