task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:decomposition | n=31,base=8 | TERM:3*8^1=24 ; TERM:7*8^0=7 ; OUT:37 |
base_conversion | base_conversion:decomposition | n=104,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1101000 |
list_summation | list_summation:left-to-right | 8, 2, 0, 9 | 8+2=10 ; 10+0=10 ; 10+9=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 2, 0, 5, 4 | [2,9,0,5,4] ; [0,2,5,9,4] ; [0,2,4,5,9] |
list_summation | list_summation:right-to-left | 4, 4, 7, 4 | 7+4=11 ; 4+11=15 ; 4+15=19 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,1) | R:(0,1) ; D:(1,1) ; D:(2,1) ; D:(3,1) ; D:(4,1) |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 3, 8, 2, 1 | [3,4,8,2,1] ; [3,4,8,2,1] ; [2,3,4,8,1] ; [1,2,3,4,8] |
multidigit_addition | multidigit_addition:right-to-left-carry | 114+902 | d2:4+2+0=6→w6,c0 ; d1:1+0+0=1→w1,c0 ; d0:1+9+0=10→w0,c1 ; sum=1016 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(3,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 806+107 | round:810+107=917 ; adjust:917-4=913 ; sum=913 |
list_summation | list_summation:left-to-right | 8, 1, 2, 0 | 8+1=9 ; 9+2=11 ; 11+0=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,0) ; G=(5,1) | R:(3,1) ; D:(4,1) ; D:(5,1) |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+30=65 | 5x+30=65 ; x=(65-30)/5 ; x=35/5 ; x=7 |
list_summation | list_summation:pairwise | 2, 2, 7, 9 | 2+2=4 ; 7+9=16 ; 4+16=20 |
list_summation | list_summation:right-to-left | 1, 8, 0, 6 | 0+6=6 ; 8+6=14 ; 1+14=15 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,2) ; G=(3,5) | D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 641+727 | d2:1+7+0=8→w8,c0 ; d1:4+2+0=6→w6,c0 ; d0:6+7+0=13→w3,c1 ; sum=1368 |
base_conversion | base_conversion:decomposition | n=202,base=8 | TERM:3*8^2=192 ; TERM:1*8^1=8 ; TERM:2*8^0=2 ; OUT:312 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+0=0 | 9x+0=0 ; x+0=0 ; x=0-0 ; x=0 |
multidigit_addition | multidigit_addition:left-to-right-partials | 632+253 | p100:600+200=800 ; p10:30+50=80 ; p1:2+3=5 ; sum=800+80+5=885 |
list_summation | list_summation:right-to-left | 9, 3, 6, 6 | 6+6=12 ; 3+12=15 ; 9+15=24 |
list_summation | list_summation:pairwise | 4, 6, 8, 9 | 4+6=10 ; 8+9=17 ; 10+17=27 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,3) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 8, 3, 9, 0 | [3,7,8,9,0] ; [0,3,7,8,9] |
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:left-to-right-partials | 296+932 | p100:200+900=1100 ; p10:90+30=120 ; p1:6+2=8 ; sum=1100+120+8=1228 |
base_conversion | base_conversion:decomposition | n=233,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:3221 |
list_summation | list_summation:right-to-left | 7, 7, 3, 6 | 3+6=9 ; 7+9=16 ; 7+16=23 |
base_conversion | base_conversion:decomposition | n=78,base=16 | TERM:4*16^1=64 ; TERM:14*16^0=14 ; OUT:4E |
base_conversion | base_conversion:repeated-division | n=52,base=16 | DIV:52/16=3,r:4 ; DIV:3/16=0,r:3 ; OUT:34 |
list_summation | list_summation:right-to-left | 2, 1, 5, 8 | 5+8=13 ; 1+13=14 ; 2+14=16 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 6, 4, 2, 0 | [0,6,4,2,8] ; [6,0,4,2,8] ; [6,2,4,0,8] ; [0,2,4,6,8] ; [4,2,0,6,8] ; [0,2,4,6,8] ; [2,0,4,6,8] ; [0,2,4,6,8] |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 6, 1, 7, 5 | [6,8,1,7,5] ; [1,6,8,7,5] ; [1,6,7,8,5] ; [1,5,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,0) ; G=(5,1) | D:(5,0) ; R:(5,1) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 9, 7, 6, 2 | [8,9,6,7,2] ; [6,7,8,9,2] ; [2,6,7,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+5=-5 | 5x+5=-5 ; 5x=-10 ; x=-2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(4,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+12=54 | 6x+12=54 ; 6x=42 ; x=7 |
base_conversion | base_conversion:via-binary | n=221,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:3 ; CHUNK:3:1 ; OUT:3131 |
list_summation | list_summation:right-to-left | 5, 6, 6, 4 | 6+4=10 ; 6+10=16 ; 5+16=21 |
base_conversion | base_conversion:via-binary | n=98,base=16 | BINLEN:7 ; CHUNK:0:6 ; CHUNK:1:2 ; OUT:62 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 9, 5, 0 | [4,7,5,9,0] ; [4,5,7,9,0] ; [0,4,5,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 714+560 | round:720+560=1280 ; adjust:1280-6=1274 ; sum=1274 |
base_conversion | base_conversion:via-binary | n=148,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:0 ; OUT:10010100 |
multidigit_addition | multidigit_addition:right-to-left-carry | 828+780 | d2:8+0+0=8→w8,c0 ; d1:2+8+0=10→w0,c1 ; d0:8+7+1=16→w6,c1 ; sum=1608 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 3, 0, 7, 5 | [0,3,2,7,5] ; [0,2,3,7,5] ; [0,2,3,7,5] ; [0,2,3,5,7] |
list_summation | list_summation:left-to-right | 3, 6, 3, 8 | 3+6=9 ; 9+3=12 ; 12+8=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 7, 8, 4, 9 | [6,7,8,4,9] ; [6,7,8,4,9] ; [4,6,7,8,9] ; [4,6,7,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 9, 8, 7, 1, 3 | [3,8,7,1,9] ; [8,3,7,1,9] ; [1,3,7,8,9] ; [7,3,1,8,9] ; [1,3,7,8,9] ; [3,1,7,8,9] ; [1,3,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 590+195 | p100:500+100=600 ; p10:90+90=180 ; p1:0+5=5 ; sum=600+180+5=785 |
multidigit_addition | multidigit_addition:rounding-decomposition | 203+238 | round:210+238=448 ; adjust:448-7=441 ; sum=441 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(3,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 2, 6, 5, 0 | [2,3,6,5,0] ; [2,3,6,5,0] ; [2,3,5,6,0] ; [0,2,3,5,6] |
list_summation | list_summation:left-to-right | 3, 3, 9, 4 | 3+3=6 ; 6+9=15 ; 15+4=19 |
base_conversion | base_conversion:decomposition | n=106,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1101010 |
multidigit_addition | multidigit_addition:right-to-left-carry | 105+897 | d2:5+7+0=12→w2,c1 ; d1:0+9+1=10→w0,c1 ; d0:1+8+1=10→w0,c1 ; sum=1002 |
multidigit_addition | multidigit_addition:right-to-left-carry | 762+788 | d2:2+8+0=10→w0,c1 ; d1:6+8+1=15→w5,c1 ; d0:7+7+1=15→w5,c1 ; sum=1550 |
multidigit_addition | multidigit_addition:right-to-left-carry | 617+675 | d2:7+5+0=12→w2,c1 ; d1:1+7+1=9→w9,c0 ; d0:6+6+0=12→w2,c1 ; sum=1292 |
sorting_algorithms | sorting_algorithms:heap-sort | 4, 6, 3, 1, 0 | [6,4,3,1,0] ; [0,4,3,1,6] ; [4,0,3,1,6] ; [4,1,3,0,6] ; [0,1,3,4,6] ; [3,1,0,4,6] ; [0,1,3,4,6] ; [1,0,3,4,6] ; [0,1,3,4,6] |
list_summation | list_summation:right-to-left | 5, 8, 3, 3 | 3+3=6 ; 8+6=14 ; 5+14=19 |
base_conversion | base_conversion:repeated-division | n=181,base=16 | DIV:181/16=11,r:5 ; DIV:11/16=0,r:11 ; OUT:B5 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 9, 3, 8, 1 | [7,9,3,8,1] ; [3,7,9,8,1] ; [3,7,8,9,1] ; [1,3,7,8,9] |
base_conversion | base_conversion:decomposition | n=26,base=4 | TERM:1*4^2=16 ; TERM:2*4^1=8 ; TERM:2*4^0=2 ; OUT:122 |
base_conversion | base_conversion:decomposition | n=30,base=4 | TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:132 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-40=5 | 5x-40=5 ; x+-8=1 ; x=1--8 ; x=9 |
list_summation | list_summation:right-to-left | 8, 8, 9, 8 | 9+8=17 ; 8+17=25 ; 8+25=33 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-28=-7 | 7x-28=-7 ; x=(-7--28)/7 ; x=21/7 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,4) | R:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 2, 7, 8, 2 | 8+2=10 ; 7+10=17 ; 2+17=19 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(4,4) | D:(2,3) ; D:(3,3) ; D:(4,3) ; R:(4,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 0, 1, 2, 7 | [0,3,1,2,7] ; [0,1,3,2,7] ; [0,1,2,3,7] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(3,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 524+602 | round:530+602=1132 ; adjust:1132-6=1126 ; sum=1126 |
base_conversion | base_conversion:repeated-division | n=135,base=16 | DIV:135/16=8,r:7 ; DIV:8/16=0,r:8 ; OUT:87 |
base_conversion | base_conversion:repeated-division | n=242,base=4 | DIV:242/4=60,r:2 ; DIV:60/4=15,r:0 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3302 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-54=-36 | 9x-54=-36 ; x+-6=-4 ; x=-4--6 ; x=2 |
base_conversion | base_conversion:decomposition | n=86,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1112 |
list_summation | list_summation:pairwise | 6, 3, 3, 1 | 6+3=9 ; 3+1=4 ; 9+4=13 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x-18=-81 | 9x-18=-81 ; x=(-81--18)/9 ; x=-63/9 ; x=-7 |
base_conversion | base_conversion:via-binary | n=19,base=16 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:3 ; OUT:13 |
multidigit_addition | multidigit_addition:left-to-right-partials | 505+650 | p100:500+600=1100 ; p10:0+50=50 ; p1:5+0=5 ; sum=1100+50+5=1155 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+0=0 | 8x+0=0 ; x+0=0 ; x=0-0 ; x=0 |
base_conversion | base_conversion:repeated-division | n=153,base=8 | DIV:153/8=19,r:1 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:231 |
multidigit_addition | multidigit_addition:rounding-decomposition | 225+551 | round:230+551=781 ; adjust:781-5=776 ; sum=776 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+0=0 | 5x+0=0 ; 5x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+16=80 | 8x+16=80 ; x=(80-16)/8 ; x=64/8 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(3,4) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
list_summation | list_summation:pairwise | 0, 2, 1, 8 | 0+2=2 ; 1+8=9 ; 2+9=11 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(4,5) | D:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 7, 2, 9, 6 | [0,7,2,9,6] ; [0,2,7,9,6] ; [0,2,6,9,7] ; [0,2,6,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 6, 7, 1, 5 | [6,9,7,1,5] ; [6,7,9,1,5] ; [6,7,1,9,5] ; [6,7,1,5,9] ; [6,1,7,5,9] ; [6,1,5,7,9] ; [1,6,5,7,9] ; [1,5,6,7,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 854+869 | p100:800+800=1600 ; p10:50+60=110 ; p1:4+9=13 ; sum=1600+110+13=1723 |
multidigit_addition | multidigit_addition:rounding-decomposition | 784+786 | round:790+786=1576 ; adjust:1576-6=1570 ; sum=1570 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(4,5) | R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 783+694 | round:790+694=1484 ; adjust:1484-7=1477 ; sum=1477 |
list_summation | list_summation:left-to-right | 6, 1, 6, 0 | 6+1=7 ; 7+6=13 ; 13+0=13 |
list_summation | list_summation:left-to-right | 0, 2, 5, 1 | 0+2=2 ; 2+5=7 ; 7+1=8 |
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