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:inverse-ops | 5x+5=35 | 5x+5=35 ; x=(35-5)/5 ; x=30/5 ; x=6 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=-20 | 5x+25=-20 ; x=(-20-25)/5 ; x=-45/5 ; x=-9 |
multidigit_addition | multidigit_addition:left-to-right-partials | 650+448 | p100:600+400=1000 ; p10:50+40=90 ; p1:0+8=8 ; sum=1000+90+8=1098 |
base_conversion | base_conversion:repeated-division | n=177,base=8 | DIV:177/8=22,r:1 ; DIV:22/8=2,r:6 ; DIV:2/8=0,r:2 ; OUT:261 |
base_conversion | base_conversion:repeated-division | n=75,base=8 | DIV:75/8=9,r:3 ; DIV:9/8=1,r:1 ; DIV:1/8=0,r:1 ; OUT:113 |
list_summation | list_summation:pairwise | 2, 3, 9, 6 | 2+3=5 ; 9+6=15 ; 5+15=20 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 880+335 | p100:800+300=1100 ; p10:80+30=110 ; p1:0+5=5 ; sum=1100+110+5=1215 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 7, 2, 8, 3 | [2,5,7,8,3] ; [2,3,5,7,8] |
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) |
multidigit_addition | multidigit_addition:rounding-decomposition | 804+791 | round:810+791=1601 ; adjust:1601-6=1595 ; sum=1595 |
base_conversion | base_conversion:via-binary | n=160,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:0 ; OUT:A0 |
base_conversion | base_conversion:via-binary | n=229,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11100101 |
base_conversion | base_conversion:decomposition | n=111,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; 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:1101111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x+9=-18 | 9x+9=-18 ; x+1=-2 ; x=-2-1 ; x=-3 |
list_summation | list_summation:right-to-left | 6, 7, 6, 7 | 6+7=13 ; 7+13=20 ; 6+20=26 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-30=-60 | 5x-30=-60 ; x+-6=-12 ; x=-12--6 ; x=-6 |
multidigit_addition | multidigit_addition:left-to-right-partials | 270+133 | p100:200+100=300 ; p10:70+30=100 ; p1:0+3=3 ; sum=300+100+3=403 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 7, 4, 5, 0 | [3,4,7,5,0] ; [3,4,5,7,0] ; [3,4,5,0,7] ; [3,4,0,5,7] ; [3,0,4,5,7] ; [0,3,4,5,7] |
list_summation | list_summation:left-to-right | 9, 4, 0, 1 | 9+4=13 ; 13+0=13 ; 13+1=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 483+976 | round:490+976=1466 ; adjust:1466-7=1459 ; sum=1459 |
multidigit_addition | multidigit_addition:left-to-right-partials | 697+251 | p100:600+200=800 ; p10:90+50=140 ; p1:7+1=8 ; sum=800+140+8=948 |
list_summation | list_summation:right-to-left | 0, 6, 3, 9 | 3+9=12 ; 6+12=18 ; 0+18=18 |
base_conversion | base_conversion:decomposition | n=136,base=8 | TERM:2*8^2=128 ; TERM:1*8^1=8 ; TERM:0*8^0=0 ; OUT:210 |
base_conversion | base_conversion:decomposition | n=244,base=2 | TERM:1*2^7=128 ; TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:11110100 |
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) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,2) ; G=(4,4) | R:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 3, 1, 8, 2 | 8+2=10 ; 1+10=11 ; 3+11=14 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-48=-72 | 8x-48=-72 ; x=(-72--48)/8 ; x=-24/8 ; x=-3 |
base_conversion | base_conversion:repeated-division | n=120,base=2 | DIV:120/2=60,r:0 ; DIV:60/2=30,r:0 ; DIV:30/2=15,r:0 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1111000 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=-48 | 6x+0=-48 ; 6x=-48 ; x=-8 |
list_summation | list_summation:pairwise | 0, 1, 2, 8 | 0+1=1 ; 2+8=10 ; 1+10=11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-40=16 | 8x-40=16 ; 8x=56 ; x=7 |
list_summation | list_summation:left-to-right | 5, 6, 3, 8 | 5+6=11 ; 11+3=14 ; 14+8=22 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(4,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 803+253 | round:810+253=1063 ; adjust:1063-7=1056 ; sum=1056 |
list_summation | list_summation:pairwise | 8, 6, 6, 8 | 8+6=14 ; 6+8=14 ; 14+14=28 |
base_conversion | base_conversion:decomposition | n=107,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:1*2^0=1 ; OUT:1101011 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 3, 0, 4, 8 | [0,3,6,4,8] ; [0,3,6,4,8] ; [0,3,4,6,8] ; [0,3,4,6,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 7, 9, 8, 1, 0 | [7,8,9,1,0] ; [7,8,1,9,0] ; [7,8,1,0,9] ; [7,1,8,0,9] ; [7,1,0,8,9] ; [1,7,0,8,9] ; [1,0,7,8,9] ; [0,1,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 704+841 | p100:700+800=1500 ; p10:0+40=40 ; p1:4+1=5 ; sum=1500+40+5=1545 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-48=-36 | 6x-48=-36 ; 6x=12 ; x=2 |
list_summation | list_summation:right-to-left | 8, 1, 5, 7 | 5+7=12 ; 1+12=13 ; 8+13=21 |
list_summation | list_summation:pairwise | 6, 2, 8, 9 | 6+2=8 ; 8+9=17 ; 8+17=25 |
base_conversion | base_conversion:repeated-division | n=136,base=2 | DIV:136/2=68,r:0 ; DIV:68/2=34,r:0 ; DIV:34/2=17,r:0 ; 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:10001000 |
multidigit_addition | multidigit_addition:left-to-right-partials | 318+527 | p100:300+500=800 ; p10:10+20=30 ; p1:8+7=15 ; sum=800+30+15=845 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+30=72 | 6x+30=72 ; x+5=12 ; x=12-5 ; x=7 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(3,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) |
base_conversion | base_conversion:decomposition | n=216,base=8 | TERM:3*8^2=192 ; TERM:3*8^1=24 ; TERM:0*8^0=0 ; OUT:330 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,3) | R:(3,3) ; D:(4,3) ; D:(5,3) |
base_conversion | base_conversion:repeated-division | n=188,base=8 | DIV:188/8=23,r:4 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:274 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 5, 6, 0 | [1,5,6,7,0] ; [0,1,5,6,7] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+48=90 | 6x+48=90 ; x+8=15 ; x=15-8 ; x=7 |
list_summation | list_summation:left-to-right | 8, 9, 1, 4 | 8+9=17 ; 17+1=18 ; 18+4=22 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+0=56 | 7x+0=56 ; x=(56-0)/7 ; x=56/7 ; x=8 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 5, 1, 6, 9 | [1,3,5,6,9] |
list_summation | list_summation:right-to-left | 6, 7, 4, 0 | 4+0=4 ; 7+4=11 ; 6+11=17 |
list_summation | list_summation:pairwise | 4, 7, 7, 9 | 4+7=11 ; 7+9=16 ; 11+16=27 |
multidigit_addition | multidigit_addition:rounding-decomposition | 712+470 | round:720+470=1190 ; adjust:1190-8=1182 ; sum=1182 |
list_summation | list_summation:pairwise | 7, 6, 2, 3 | 7+6=13 ; 2+3=5 ; 13+5=18 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-6=-8 | 2x-6=-8 ; x+-3=-4 ; x=-4--3 ; x=-1 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(4,3) | D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-81=-117 | 9x-81=-117 ; x+-9=-13 ; x=-13--9 ; x=-4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 261+795 | d2:1+5+0=6→w6,c0 ; d1:6+9+0=15→w5,c1 ; d0:2+7+1=10→w0,c1 ; sum=1056 |
base_conversion | base_conversion:decomposition | n=47,base=8 | TERM:5*8^1=40 ; TERM:7*8^0=7 ; OUT:57 |
multidigit_addition | multidigit_addition:left-to-right-partials | 751+232 | p100:700+200=900 ; p10:50+30=80 ; p1:1+2=3 ; sum=900+80+3=983 |
base_conversion | base_conversion:decomposition | n=228,base=4 | TERM:3*4^3=192 ; TERM:2*4^2=32 ; TERM:1*4^1=4 ; TERM:0*4^0=0 ; OUT:3210 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 2, 7, 4 | [3,2,6,7,4] ; [3,2,6,4,7] ; [2,3,6,4,7] ; [2,3,4,6,7] |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 5, 0, 1, 8 | [4,0,5,1,8] ; [4,0,1,5,8] ; [0,4,1,5,8] ; [0,1,4,5,8] |
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) |
sorting_algorithms | sorting_algorithms:selection-sort | 9, 4, 8, 7, 0 | [0,4,8,7,9] ; [0,4,8,7,9] ; [0,4,7,8,9] ; [0,4,7,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 347+610 | p100:300+600=900 ; p10:40+10=50 ; p1:7+0=7 ; sum=900+50+7=957 |
base_conversion | base_conversion:repeated-division | n=169,base=16 | DIV:169/16=10,r:9 ; DIV:10/16=0,r:10 ; OUT:A9 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-8=-22 | 2x-8=-22 ; x+-4=-11 ; x=-11--4 ; x=-7 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; R:(2,5) ; D:(3,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:right-to-left | 8, 0, 8, 0 | 8+0=8 ; 0+8=8 ; 8+8=16 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+35=49 | 7x+35=49 ; x+5=7 ; x=7-5 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,1) ; G=(3,4) | R:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 474+395 | p100:400+300=700 ; p10:70+90=160 ; p1:4+5=9 ; sum=700+160+9=869 |
list_summation | list_summation:right-to-left | 9, 2, 2, 6 | 2+6=8 ; 2+8=10 ; 9+10=19 |
base_conversion | base_conversion:decomposition | n=156,base=8 | TERM:2*8^2=128 ; TERM:3*8^1=24 ; TERM:4*8^0=4 ; OUT:234 |
multidigit_addition | multidigit_addition:right-to-left-carry | 650+674 | d2:0+4+0=4→w4,c0 ; d1:5+7+0=12→w2,c1 ; d0:6+6+1=13→w3,c1 ; sum=1324 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,1) ; G=(4,5) | R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x-24=40 | 8x-24=40 ; x=(40--24)/8 ; x=64/8 ; x=8 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 5, 3, 8, 6 | [1,5,3,8,6] ; [1,3,5,8,6] ; [1,3,5,8,6] ; [1,3,5,6,8] |
list_summation | list_summation:left-to-right | 5, 8, 1, 8 | 5+8=13 ; 13+1=14 ; 14+8=22 |
list_summation | list_summation:left-to-right | 7, 9, 1, 4 | 7+9=16 ; 16+1=17 ; 17+4=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(5,4) | D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) |
multidigit_addition | multidigit_addition:rounding-decomposition | 875+204 | round:880+204=1084 ; adjust:1084-5=1079 ; sum=1079 |
list_summation | list_summation:left-to-right | 4, 2, 2, 8 | 4+2=6 ; 6+2=8 ; 8+8=16 |
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) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+0=32 | 4x+0=32 ; 4x=32 ; x=8 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 5, 1, 0, 7 | [0,5,1,2,7] ; [0,1,5,2,7] ; [0,1,2,5,7] ; [0,1,2,5,7] |
list_summation | list_summation:pairwise | 0, 0, 4, 2 | 0+0=0 ; 4+2=6 ; 0+6=6 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(4,2) | R:(3,2) ; D:(4,2) |
list_summation | list_summation:pairwise | 1, 4, 2, 8 | 1+4=5 ; 2+8=10 ; 5+10=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
multidigit_addition | multidigit_addition:rounding-decomposition | 481+124 | round:490+124=614 ; adjust:614-9=605 ; sum=605 |
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