task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:rounding-decomposition | 800+547 | round:800+547=1347 ; adjust:1347-0=1347 ; sum=1347 |
multidigit_addition | multidigit_addition:rounding-decomposition | 994+337 | round:1000+337=1337 ; adjust:1337-6=1331 ; sum=1331 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=16 | 4x+0=16 ; x+0=4 ; x=4-0 ; x=4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,4) | R:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+32=0 | 8x+32=0 ; x+4=0 ; x=0-4 ; x=-4 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-12=6 | 3x-12=6 ; x=(6--12)/3 ; x=18/3 ; x=6 |
multidigit_addition | multidigit_addition:rounding-decomposition | 239+305 | round:240+305=545 ; adjust:545-1=544 ; sum=544 |
base_conversion | base_conversion:decomposition | n=111,base=16 | TERM:6*16^1=96 ; TERM:15*16^0=15 ; OUT:6F |
list_summation | list_summation:right-to-left | 3, 2, 0, 0 | 0+0=0 ; 2+0=2 ; 3+2=5 |
grid_pathfinding | grid_pathfinding:alternating | 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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-16=12 | 4x-16=12 ; x+-4=3 ; x=3--4 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(3,5) | D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
list_summation | list_summation:pairwise | 8, 2, 0, 0 | 8+2=10 ; 0+0=0 ; 10+0=10 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 0, 8, 7, 6 | [0,4,8,7,6] ; [0,4,8,7,6] ; [0,4,6,7,8] ; [0,4,6,7,8] |
multidigit_addition | multidigit_addition:rounding-decomposition | 258+217 | round:260+217=477 ; adjust:477-2=475 ; sum=475 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=-18 | 9x+27=-18 ; x=(-18-27)/9 ; x=-45/9 ; x=-5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,1) ; G=(4,2) | D:(2,1) ; D:(3,1) ; D:(4,1) ; R:(4,2) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 6, 8, 5, 3 | [6,7,8,5,3] ; [6,7,5,8,3] ; [5,6,7,8,3] ; [3,5,6,7,8] |
base_conversion | base_conversion:via-binary | n=6,base=4 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:2 ; OUT:12 |
base_conversion | base_conversion:repeated-division | n=173,base=2 | DIV:173/2=86,r:1 ; DIV:86/2=43,r:0 ; DIV:43/2=21,r:1 ; 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:10101101 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:via-binary | n=46,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:1 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:0 ; OUT:101110 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 4, 7, 9 | [5,9,4,7,8] ; [9,5,4,7,8] ; [9,8,4,7,5] ; [5,8,4,7,9] ; [8,5,4,7,9] ; [8,7,4,5,9] ; [5,7,4,8,9] ; [7,5,4,8,9] ; [4,5,7,8,9] ; [5,4,7,8,9] ; [4,5,7,8,9] |
multidigit_addition | multidigit_addition:right-to-left-carry | 790+850 | d2:0+0+0=0→w0,c0 ; d1:9+5+0=14→w4,c1 ; d0:7+8+1=16→w6,c1 ; sum=1640 |
list_summation | list_summation:right-to-left | 7, 3, 8, 4 | 8+4=12 ; 3+12=15 ; 7+15=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 437+581 | round:440+581=1021 ; adjust:1021-3=1018 ; sum=1018 |
multidigit_addition | multidigit_addition:rounding-decomposition | 488+167 | round:490+167=657 ; adjust:657-2=655 ; sum=655 |
base_conversion | base_conversion:repeated-division | n=198,base=2 | DIV:198/2=99,r:0 ; DIV:99/2=49,r:1 ; DIV:49/2=24,r:1 ; DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11000110 |
multidigit_addition | multidigit_addition:left-to-right-partials | 980+467 | p100:900+400=1300 ; p10:80+60=140 ; p1:0+7=7 ; sum=1300+140+7=1447 |
multidigit_addition | multidigit_addition:right-to-left-carry | 120+512 | d2:0+2+0=2→w2,c0 ; d1:2+1+0=3→w3,c0 ; d0:1+5+0=6→w6,c0 ; sum=632 |
base_conversion | base_conversion:repeated-division | n=56,base=16 | DIV:56/16=3,r:8 ; DIV:3/16=0,r:3 ; OUT:38 |
list_summation | list_summation:right-to-left | 2, 7, 3, 7 | 3+7=10 ; 7+10=17 ; 2+17=19 |
multidigit_addition | multidigit_addition:rounding-decomposition | 941+597 | round:950+597=1547 ; adjust:1547-9=1538 ; sum=1538 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(5,5) | R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,2) ; G=(4,5) | R:(3,3) ; R:(3,4) ; R:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 5, 0, 3, 4 | [4,5,0,3,6] ; [5,4,0,3,6] ; [3,4,0,5,6] ; [4,3,0,5,6] ; [0,3,4,5,6] ; [3,0,4,5,6] ; [0,3,4,5,6] |
base_conversion | base_conversion:via-binary | n=5,base=4 | BINLEN:3 ; CHUNK:0:1 ; CHUNK:1:1 ; OUT:11 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=-24 | 6x+0=-24 ; 6x=-24 ; x=-4 |
list_summation | list_summation:right-to-left | 2, 0, 5, 8 | 5+8=13 ; 0+13=13 ; 2+13=15 |
base_conversion | base_conversion:decomposition | n=3,base=4 | TERM:3*4^0=3 ; OUT:3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 251+931 | d2:1+1+0=2→w2,c0 ; d1:5+3+0=8→w8,c0 ; d0:2+9+0=11→w1,c1 ; sum=1182 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+24=12 | 4x+24=12 ; x+6=3 ; x=3-6 ; x=-3 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 3, 2, 9, 0 | [0,3,2,9,4] ; [0,2,3,9,4] ; [0,2,3,9,4] ; [0,2,3,4,9] |
base_conversion | base_conversion:via-binary | n=193,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:11000001 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(3,5) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; R:(2,3) ; D:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=28,base=2 | DIV:28/2=14,r:0 ; 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:11100 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=22,base=4 | DIV:22/4=5,r:2 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:112 |
multidigit_addition | multidigit_addition:left-to-right-partials | 821+873 | p100:800+800=1600 ; p10:20+70=90 ; p1:1+3=4 ; sum=1600+90+4=1694 |
list_summation | list_summation:left-to-right | 2, 4, 4, 9 | 2+4=6 ; 6+4=10 ; 10+9=19 |
base_conversion | base_conversion:decomposition | n=139,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:2023 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(3,5) | D:(3,3) ; R:(3,4) ; R:(3,5) |
list_summation | list_summation:left-to-right | 1, 1, 9, 4 | 1+1=2 ; 2+9=11 ; 11+4=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+5=20 | 5x+5=20 ; x=(20-5)/5 ; x=15/5 ; x=3 |
base_conversion | base_conversion:via-binary | n=205,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:1 ; CHUNK:2:5 ; OUT:315 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,2) | D:(4,1) ; R:(4,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; R:(0,4) ; R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x-6=-48 | 6x-6=-48 ; x+-1=-8 ; x=-8--1 ; x=-7 |
multidigit_addition | multidigit_addition:right-to-left-carry | 225+154 | d2:5+4+0=9→w9,c0 ; d1:2+5+0=7→w7,c0 ; d0:2+1+0=3→w3,c0 ; sum=379 |
multidigit_addition | multidigit_addition:rounding-decomposition | 363+261 | round:370+261=631 ; adjust:631-7=624 ; sum=624 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 952+291 | d2:2+1+0=3→w3,c0 ; d1:5+9+0=14→w4,c1 ; d0:9+2+1=12→w2,c1 ; sum=1243 |
multidigit_addition | multidigit_addition:rounding-decomposition | 181+711 | round:190+711=901 ; adjust:901-9=892 ; sum=892 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 3, 6, 2, 9 | [0,3,2,6,9] ; [0,2,3,6,9] |
base_conversion | base_conversion:repeated-division | n=107,base=4 | DIV:107/4=26,r:3 ; DIV:26/4=6,r:2 ; DIV:6/4=1,r:2 ; DIV:1/4=0,r:1 ; OUT:1223 |
list_summation | list_summation:right-to-left | 7, 0, 9, 4 | 9+4=13 ; 0+13=13 ; 7+13=20 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 0, 7, 6, 9 | [0,5,7,6,9] ; [0,5,7,6,9] ; [0,5,6,7,9] ; [0,5,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x+35=56 | 7x+35=56 ; x=(56-35)/7 ; x=21/7 ; x=3 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+3=-9 | 3x+3=-9 ; 3x=-12 ; x=-4 |
base_conversion | base_conversion:decomposition | n=162,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10100010 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 7, 8, 5, 4 | [2,7,5,8,4] ; [2,7,5,4,8] ; [2,5,7,4,8] ; [2,5,4,7,8] ; [2,4,5,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+18=-30 | 6x+18=-30 ; x+3=-5 ; x=-5-3 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(2,4) | D:(1,2) ; D:(2,2) ; R:(2,3) ; R:(2,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,1) ; G=(4,5) | D:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 8, 1, 5, 9 | [4,1,8,5,9] ; [4,1,5,8,9] ; [1,4,5,8,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,1) ; G=(5,2) | R:(3,2) ; D:(4,2) ; D:(5,2) |
list_summation | list_summation:right-to-left | 7, 2, 4, 1 | 4+1=5 ; 2+5=7 ; 7+7=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(4,4) | R:(3,3) ; D:(4,3) ; R:(4,4) |
list_summation | list_summation:right-to-left | 1, 5, 6, 3 | 6+3=9 ; 5+9=14 ; 1+14=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,1) | R:(4,1) ; D:(5,1) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,5) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
base_conversion | base_conversion:repeated-division | n=24,base=2 | DIV:24/2=12,r:0 ; DIV:12/2=6,r:0 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11000 |
multidigit_addition | multidigit_addition:left-to-right-partials | 693+122 | p100:600+100=700 ; p10:90+20=110 ; p1:3+2=5 ; sum=700+110+5=815 |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 9, 4, 5, 6 | [9,7,4,5,6] ; [6,7,4,5,9] ; [7,6,4,5,9] ; [5,6,4,7,9] ; [6,5,4,7,9] ; [4,5,6,7,9] ; [5,4,6,7,9] ; [4,5,6,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 641+199 | round:650+199=849 ; adjust:849-9=840 ; sum=840 |
multidigit_addition | multidigit_addition:right-to-left-carry | 120+170 | d2:0+0+0=0→w0,c0 ; d1:2+7+0=9→w9,c0 ; d0:1+1+0=2→w2,c0 ; sum=290 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(3,2) | D:(1,0) ; D:(2,0) ; D:(3,0) ; R:(3,1) ; R:(3,2) |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 2, 3, 4 | [7,8,2,3,4] ; [2,7,8,3,4] ; [2,3,7,8,4] ; [2,3,4,7,8] |
list_summation | list_summation:right-to-left | 7, 7, 3, 5 | 3+5=8 ; 7+8=15 ; 7+15=22 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-48=-64 | 8x-48=-64 ; x+-6=-8 ; x=-8--6 ; x=-2 |
list_summation | list_summation:left-to-right | 3, 5, 7, 6 | 3+5=8 ; 8+7=15 ; 15+6=21 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-20=20 | 5x-20=20 ; x=(20--20)/5 ; x=40/5 ; x=8 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(5,5) | R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+56=56 | 7x+56=56 ; x+8=8 ; x=8-8 ; x=0 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,0) ; G=(5,4) | R:(3,1) ; R:(3,2) ; R:(3,3) ; R:(3,4) ; D:(4,4) ; D:(5,4) |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 6, 5, 2, 9 | [2,6,5,3,9] ; [2,3,5,6,9] ; [2,3,5,6,9] ; [2,3,5,6,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+0=-64 | 8x+0=-64 ; x=(-64-0)/8 ; x=-64/8 ; x=-8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(1,4) | D:(1,2) ; R:(1,3) ; R:(1,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 741+255 | p100:700+200=900 ; p10:40+50=90 ; p1:1+5=6 ; sum=900+90+6=996 |
multidigit_addition | multidigit_addition:rounding-decomposition | 819+693 | round:820+693=1513 ; adjust:1513-1=1512 ; sum=1512 |
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