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 | 8x+32=64 | 8x+32=64 ; x+4=8 ; x=8-4 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 782+671 | d2:2+1+0=3→w3,c0 ; d1:8+7+0=15→w5,c1 ; d0:7+6+1=14→w4,c1 ; sum=1453 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(4,4) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 9, 5, 4, 0 | [7,5,9,4,0] ; [7,5,4,9,0] ; [7,5,4,0,9] ; [5,7,4,0,9] ; [5,4,7,0,9] ; [5,4,0,7,9] ; [4,5,0,7,9] ; [4,0,5,7,9] ; [0,4,5,7,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,4) | D:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 481+681 | p100:400+600=1000 ; p10:80+80=160 ; p1:1+1=2 ; sum=1000+160+2=1162 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(5,3) | D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 551+391 | p100:500+300=800 ; p10:50+90=140 ; p1:1+1=2 ; sum=800+140+2=942 |
list_summation | list_summation:left-to-right | 0, 7, 7, 2 | 0+7=7 ; 7+7=14 ; 14+2=16 |
list_summation | list_summation:right-to-left | 0, 3, 9, 5 | 9+5=14 ; 3+14=17 ; 0+17=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 487+223 | p100:400+200=600 ; p10:80+20=100 ; p1:7+3=10 ; sum=600+100+10=710 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 0, 6, 2 | [4,9,0,6,2] ; [0,4,9,6,2] ; [0,4,6,9,2] ; [0,2,4,6,9] |
base_conversion | base_conversion:repeated-division | n=222,base=4 | DIV:222/4=55,r:2 ; DIV:55/4=13,r:3 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3132 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(4,4) | R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) |
multidigit_addition | multidigit_addition:right-to-left-carry | 227+712 | d2:7+2+0=9→w9,c0 ; d1:2+1+0=3→w3,c0 ; d0:2+7+0=9→w9,c0 ; sum=939 |
base_conversion | base_conversion:repeated-division | n=216,base=4 | DIV:216/4=54,r:0 ; DIV:54/4=13,r:2 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3120 |
multidigit_addition | multidigit_addition:right-to-left-carry | 914+624 | d2:4+4+0=8→w8,c0 ; d1:1+2+0=3→w3,c0 ; d0:9+6+0=15→w5,c1 ; sum=1538 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+12=28 | 2x+12=28 ; x+6=14 ; x=14-6 ; x=8 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-2=16 | 2x-2=16 ; x=(16--2)/2 ; x=18/2 ; x=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 200+774 | d2:0+4+0=4→w4,c0 ; d1:0+7+0=7→w7,c0 ; d0:2+7+0=9→w9,c0 ; sum=974 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,4) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 137+767 | p100:100+700=800 ; p10:30+60=90 ; p1:7+7=14 ; sum=800+90+14=904 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-25=-20 | 5x-25=-20 ; x=(-20--25)/5 ; x=5/5 ; x=1 |
list_summation | list_summation:pairwise | 2, 2, 6, 7 | 2+2=4 ; 6+7=13 ; 4+13=17 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 5, 3, 6, 7 | [5,8,3,6,7] ; [3,5,8,6,7] ; [3,5,6,8,7] ; [3,5,6,7,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 676+695 | d2:6+5+0=11→w1,c1 ; d1:7+9+1=17→w7,c1 ; d0:6+6+1=13→w3,c1 ; sum=1371 |
list_summation | list_summation:right-to-left | 5, 9, 8, 2 | 8+2=10 ; 9+10=19 ; 5+19=24 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 8, 1, 9 | [1,4,8,7,9] ; [1,4,8,7,9] ; [1,4,7,8,9] ; [1,4,7,8,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,3) | R:(3,2) ; D:(4,2) ; R:(4,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 296+311 | p100:200+300=500 ; p10:90+10=100 ; p1:6+1=7 ; sum=500+100+7=607 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 5, 6, 3, 9 | [1,5,6,3,9] ; [1,5,6,3,9] ; [1,3,5,6,9] ; [1,3,5,6,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-6=6 | 3x-6=6 ; x+-2=2 ; x=2--2 ; x=4 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-7=-7 | 7x-7=-7 ; 7x=0 ; x=0 |
base_conversion | base_conversion:decomposition | n=113,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:1*2^0=1 ; OUT:1110001 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(5,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-45=-36 | 9x-45=-36 ; x=(-36--45)/9 ; x=9/9 ; x=1 |
base_conversion | base_conversion:decomposition | n=36,base=8 | TERM:4*8^1=32 ; TERM:4*8^0=4 ; OUT:44 |
multidigit_addition | multidigit_addition:right-to-left-carry | 788+645 | d2:8+5+0=13→w3,c1 ; d1:8+4+1=13→w3,c1 ; d0:7+6+1=14→w4,c1 ; sum=1433 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+25=25 | 5x+25=25 ; 5x=0 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 401+345 | d2:1+5+0=6→w6,c0 ; d1:0+4+0=4→w4,c0 ; d0:4+3+0=7→w7,c0 ; sum=746 |
list_summation | list_summation:pairwise | 5, 9, 6, 7 | 5+9=14 ; 6+7=13 ; 14+13=27 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
list_summation | list_summation:left-to-right | 4, 8, 2, 2 | 4+8=12 ; 12+2=14 ; 14+2=16 |
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:repeated-division | n=187,base=16 | DIV:187/16=11,r:11 ; DIV:11/16=0,r:11 ; OUT:BB |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-27=45 | 9x-27=45 ; x=(45--27)/9 ; x=72/9 ; x=8 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 2, 7, 4, 0 | [0,2,7,4,3] ; [0,2,7,4,3] ; [0,2,3,4,7] ; [0,2,3,4,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 540+666 | d2:0+6+0=6→w6,c0 ; d1:4+6+0=10→w0,c1 ; d0:5+6+1=12→w2,c1 ; sum=1206 |
multidigit_addition | multidigit_addition:left-to-right-partials | 628+138 | p100:600+100=700 ; p10:20+30=50 ; p1:8+8=16 ; sum=700+50+16=766 |
list_summation | list_summation:right-to-left | 3, 7, 2, 1 | 2+1=3 ; 7+3=10 ; 3+10=13 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 8, 1, 2, 3 | [0,1,2,8,3] ; [0,1,2,3,8] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+0=-48 | 6x+0=-48 ; x=(-48-0)/6 ; x=-48/6 ; x=-8 |
base_conversion | base_conversion:decomposition | n=109,base=4 | TERM:1*4^3=64 ; TERM:2*4^2=32 ; TERM:3*4^1=12 ; TERM:1*4^0=1 ; OUT:1231 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 7, 2, 9, 8 | [4,9,2,7,8] ; [9,4,2,7,8] ; [9,8,2,7,4] ; [4,8,2,7,9] ; [8,4,2,7,9] ; [8,7,2,4,9] ; [4,7,2,8,9] ; [7,4,2,8,9] ; [2,4,7,8,9] ; [4,2,7,8,9] ; [2,4,7,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 398+377 | round:400+377=777 ; adjust:777-2=775 ; sum=775 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(3,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; R:(3,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=20 | 5x+20=20 ; x=(20-20)/5 ; x=0/5 ; x=0 |
list_summation | list_summation:left-to-right | 2, 2, 9, 3 | 2+2=4 ; 4+9=13 ; 13+3=16 |
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] |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 7, 0, 8, 4 | [0,2,7,8,4] ; [0,2,4,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(4,2) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 2, 5, 3, 9 | [2,7,5,3,9] ; [2,5,7,3,9] ; [2,3,5,7,9] ; [2,3,5,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 930+953 | p100:900+900=1800 ; p10:30+50=80 ; p1:0+3=3 ; sum=1800+80+3=1883 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 8, 9, 0, 2 | [0,8,9,6,2] ; [0,2,9,6,8] ; [0,2,6,9,8] ; [0,2,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x+63=112 | 7x+63=112 ; 7x=49 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,4) | D:(4,3) ; D:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 181+184 | round:190+184=374 ; adjust:374-9=365 ; sum=365 |
base_conversion | base_conversion:via-binary | n=104,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:0 ; OUT:1220 |
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) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,3) | D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) |
multidigit_addition | multidigit_addition:right-to-left-carry | 622+731 | d2:2+1+0=3→w3,c0 ; d1:2+3+0=5→w5,c0 ; d0:6+7+0=13→w3,c1 ; sum=1353 |
base_conversion | base_conversion:via-binary | n=212,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:4 ; OUT:324 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-10=-26 | 2x-10=-26 ; x+-5=-13 ; x=-13--5 ; x=-8 |
multidigit_addition | multidigit_addition:left-to-right-partials | 976+704 | p100:900+700=1600 ; p10:70+0=70 ; p1:6+4=10 ; sum=1600+70+10=1680 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 1, 7, 3, 0 | [0,1,7,3,6] ; [0,1,7,3,6] ; [0,1,3,7,6] ; [0,1,3,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 9, 2, 3, 7 | [5,2,9,3,7] ; [5,2,3,9,7] ; [5,2,3,7,9] ; [2,5,3,7,9] ; [2,3,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 768+572 | round:770+572=1342 ; adjust:1342-2=1340 ; sum=1340 |
base_conversion | base_conversion:via-binary | n=203,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11001011 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=25 | 5x-15=25 ; 5x=40 ; x=8 |
list_summation | list_summation:pairwise | 9, 1, 5, 3 | 9+1=10 ; 5+3=8 ; 10+8=18 |
base_conversion | base_conversion:decomposition | n=77,base=16 | TERM:4*16^1=64 ; TERM:13*16^0=13 ; OUT:4D |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 5, 4, 2, 8 | [1,8,4,2,5] ; [8,1,4,2,5] ; [8,5,4,2,1] ; [1,5,4,2,8] ; [5,1,4,2,8] ; [5,2,4,1,8] ; [1,2,4,5,8] ; [4,2,1,5,8] ; [1,2,4,5,8] ; [2,1,4,5,8] ; [1,2,4,5,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 0, 7, 5 | [0,8,3,7,5] ; [0,3,8,7,5] ; [0,3,5,7,8] ; [0,3,5,7,8] |
base_conversion | base_conversion:repeated-division | n=4,base=4 | DIV:4/4=1,r:0 ; DIV:1/4=0,r:1 ; OUT:10 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,3) ; G=(5,4) | D:(4,3) ; D:(5,3) ; R:(5,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; R:(4,3) ; R:(4,4) ; D:(5,4) |
list_summation | list_summation:pairwise | 2, 4, 1, 7 | 2+4=6 ; 1+7=8 ; 6+8=14 |
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) |
multidigit_addition | multidigit_addition:left-to-right-partials | 832+410 | p100:800+400=1200 ; p10:30+10=40 ; p1:2+0=2 ; sum=1200+40+2=1242 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-36=-4 | 4x-36=-4 ; x+-9=-1 ; x=-1--9 ; x=8 |
list_summation | list_summation:pairwise | 0, 2, 3, 0 | 0+2=2 ; 3+0=3 ; 2+3=5 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+9=36 | 3x+9=36 ; x=(36-9)/3 ; x=27/3 ; x=9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(4,5) | R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 3, 8, 0 | [1,6,3,8,0] ; [1,3,6,8,0] ; [1,3,6,8,0] ; [0,1,3,6,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 906+119 | round:910+119=1029 ; adjust:1029-4=1025 ; sum=1025 |
base_conversion | base_conversion:repeated-division | n=85,base=2 | DIV:85/2=42,r:1 ; DIV:42/2=21,r:0 ; DIV:21/2=10,r:1 ; DIV:10/2=5,r:0 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:1010101 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-42=-60 | 6x-42=-60 ; 6x=-18 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-18=-66 | 6x-18=-66 ; x+-3=-11 ; x=-11--3 ; x=-8 |
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