task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
list_summation | list_summation:pairwise | 9, 0, 7, 0 | 9+0=9 ; 7+0=7 ; 9+7=16 |
list_summation | list_summation:right-to-left | 7, 9, 9, 5 | 9+5=14 ; 9+14=23 ; 7+23=30 |
multidigit_addition | multidigit_addition:right-to-left-carry | 728+369 | d2:8+9+0=17→w7,c1 ; d1:2+6+1=9→w9,c0 ; d0:7+3+0=10→w0,c1 ; sum=1097 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,2) ; G=(5,5) | R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x-49=-91 | 7x-49=-91 ; x+-7=-13 ; x=-13--7 ; x=-6 |
list_summation | list_summation:pairwise | 8, 4, 1, 7 | 8+4=12 ; 1+7=8 ; 12+8=20 |
base_conversion | base_conversion:repeated-division | n=235,base=16 | DIV:235/16=14,r:11 ; DIV:14/16=0,r:14 ; OUT:EB |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 0, 9, 1, 6 | [0,2,9,1,6] ; [0,2,1,9,6] ; [0,1,2,9,6] ; [0,1,2,6,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,5) | R:(2,4) ; D:(3,4) ; R:(3,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,4) ; G=(5,5) | D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 400+238 | d2:0+8+0=8→w8,c0 ; d1:0+3+0=3→w3,c0 ; d0:4+2+0=6→w6,c0 ; sum=638 |
base_conversion | base_conversion:repeated-division | n=182,base=16 | DIV:182/16=11,r:6 ; DIV:11/16=0,r:11 ; OUT:B6 |
sorting_algorithms | sorting_algorithms:merge-sort | 5, 0, 1, 4, 9 | [0,5,1,4,9] ; [0,1,4,5,9] |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 0, 3, 2, 5 | [0,1,3,2,5] ; [0,1,3,2,5] ; [0,1,2,3,5] ; [0,1,2,3,5] |
multidigit_addition | multidigit_addition:rounding-decomposition | 671+393 | round:680+393=1073 ; adjust:1073-9=1064 ; sum=1064 |
base_conversion | base_conversion:decomposition | n=102,base=8 | TERM:1*8^2=64 ; TERM:4*8^1=32 ; TERM:6*8^0=6 ; OUT:146 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,2) ; G=(4,5) | R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=191,base=8 | DIV:191/8=23,r:7 ; DIV:23/8=2,r:7 ; DIV:2/8=0,r:2 ; OUT:277 |
list_summation | list_summation:pairwise | 6, 1, 5, 1 | 6+1=7 ; 5+1=6 ; 7+6=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 5, 6, 7, 4, 0 | [5,6,7,4,0] ; [5,6,7,4,0] ; [4,5,6,7,0] ; [0,4,5,6,7] |
base_conversion | base_conversion:repeated-division | n=235,base=8 | DIV:235/8=29,r:3 ; DIV:29/8=3,r:5 ; DIV:3/8=0,r:3 ; OUT:353 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 2, 9, 0, 1 | [0,2,9,8,1] ; [0,1,9,8,2] ; [0,1,2,8,9] ; [0,1,2,8,9] |
list_summation | list_summation:right-to-left | 3, 6, 8, 9 | 8+9=17 ; 6+17=23 ; 3+23=26 |
multidigit_addition | multidigit_addition:right-to-left-carry | 453+884 | d2:3+4+0=7→w7,c0 ; d1:5+8+0=13→w3,c1 ; d0:4+8+1=13→w3,c1 ; sum=1337 |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 6, 0, 1, 8 | [2,0,6,1,8] ; [2,0,1,6,8] ; [0,2,1,6,8] ; [0,1,2,6,8] |
base_conversion | base_conversion:decomposition | n=18,base=2 | TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10010 |
multidigit_addition | multidigit_addition:left-to-right-partials | 425+974 | p100:400+900=1300 ; p10:20+70=90 ; p1:5+4=9 ; sum=1300+90+9=1399 |
base_conversion | base_conversion:decomposition | n=76,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:0*4^0=0 ; OUT:1030 |
list_summation | list_summation:right-to-left | 0, 1, 7, 4 | 7+4=11 ; 1+11=12 ; 0+12=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x-8=20 | 4x-8=20 ; x+-2=5 ; x=5--2 ; x=7 |
list_summation | list_summation:left-to-right | 3, 3, 4, 8 | 3+3=6 ; 6+4=10 ; 10+8=18 |
base_conversion | base_conversion:via-binary | n=39,base=16 | BINLEN:6 ; CHUNK:0:2 ; CHUNK:1:7 ; OUT:27 |
list_summation | list_summation:pairwise | 2, 3, 6, 6 | 2+3=5 ; 6+6=12 ; 5+12=17 |
multidigit_addition | multidigit_addition:left-to-right-partials | 441+590 | p100:400+500=900 ; p10:40+90=130 ; p1:1+0=1 ; sum=900+130+1=1031 |
multidigit_addition | multidigit_addition:right-to-left-carry | 493+656 | d2:3+6+0=9→w9,c0 ; d1:9+5+0=14→w4,c1 ; d0:4+6+1=11→w1,c1 ; sum=1149 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,0) ; G=(5,5) | R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+18=26 | 2x+18=26 ; 2x=8 ; x=4 |
multidigit_addition | multidigit_addition:rounding-decomposition | 122+335 | round:130+335=465 ; adjust:465-8=457 ; sum=457 |
base_conversion | base_conversion:decomposition | n=179,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:0*4^1=0 ; TERM:3*4^0=3 ; OUT:2303 |
list_summation | list_summation:right-to-left | 8, 3, 0, 7 | 0+7=7 ; 3+7=10 ; 8+10=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-12 | 4x-32=-12 ; 4x=20 ; x=5 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(5,4) | R:(0,2) ; D:(1,2) ; R:(1,3) ; D:(2,3) ; R:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,3) ; G=(3,4) | R:(2,4) ; D:(3,4) |
multidigit_addition | multidigit_addition:left-to-right-partials | 635+570 | p100:600+500=1100 ; p10:30+70=100 ; p1:5+0=5 ; sum=1100+100+5=1205 |
multidigit_addition | multidigit_addition:left-to-right-partials | 305+276 | p100:300+200=500 ; p10:0+70=70 ; p1:5+6=11 ; sum=500+70+11=581 |
multidigit_addition | multidigit_addition:right-to-left-carry | 467+934 | d2:7+4+0=11→w1,c1 ; d1:6+3+1=10→w0,c1 ; d0:4+9+1=14→w4,c1 ; sum=1401 |
multidigit_addition | multidigit_addition:left-to-right-partials | 738+324 | p100:700+300=1000 ; p10:30+20=50 ; p1:8+4=12 ; sum=1000+50+12=1062 |
base_conversion | base_conversion:repeated-division | n=69,base=8 | DIV:69/8=8,r:5 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:105 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+72=-9 | 9x+72=-9 ; x=(-9-72)/9 ; x=-81/9 ; x=-9 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=-8 | 8x+56=-8 ; 8x=-64 ; x=-8 |
list_summation | list_summation:pairwise | 8, 9, 2, 3 | 8+9=17 ; 2+3=5 ; 17+5=22 |
list_summation | list_summation:right-to-left | 0, 8, 2, 2 | 2+2=4 ; 8+4=12 ; 0+12=12 |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-12=-6 | 2x-12=-6 ; x=(-6--12)/2 ; x=6/2 ; x=3 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 1, 5, 6 | [1,9,8,5,6] ; [1,5,8,9,6] ; [1,5,6,9,8] ; [1,5,6,8,9] |
base_conversion | base_conversion:via-binary | n=81,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; OUT:1101 |
sorting_algorithms | sorting_algorithms:selection-sort | 1, 7, 6, 9, 4 | [1,7,6,9,4] ; [1,4,6,9,7] ; [1,4,6,9,7] ; [1,4,6,7,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+18=54 | 6x+18=54 ; x=(54-18)/6 ; x=36/6 ; x=6 |
base_conversion | base_conversion:decomposition | n=137,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:2*4^1=8 ; TERM:1*4^0=1 ; OUT:2021 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
list_summation | list_summation:pairwise | 3, 5, 0, 3 | 3+5=8 ; 0+3=3 ; 8+3=11 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,0) ; G=(5,4) | R:(2,1) ; D:(3,1) ; R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) ; R:(5,4) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 8, 9, 2, 1 | [0,8,2,9,1] ; [0,8,2,1,9] ; [0,2,8,1,9] ; [0,2,1,8,9] ; [0,1,2,8,9] |
base_conversion | base_conversion:decomposition | n=186,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:10111010 |
base_conversion | base_conversion:decomposition | n=197,base=16 | TERM:12*16^1=192 ; TERM:5*16^0=5 ; OUT:C5 |
base_conversion | base_conversion:repeated-division | n=169,base=8 | DIV:169/8=21,r:1 ; DIV:21/8=2,r:5 ; DIV:2/8=0,r:2 ; OUT:251 |
list_summation | list_summation:right-to-left | 8, 6, 5, 1 | 5+1=6 ; 6+6=12 ; 8+12=20 |
list_summation | list_summation:pairwise | 3, 8, 5, 6 | 3+8=11 ; 5+6=11 ; 11+11=22 |
multidigit_addition | multidigit_addition:rounding-decomposition | 514+965 | round:520+965=1485 ; adjust:1485-6=1479 ; sum=1479 |
list_summation | list_summation:right-to-left | 3, 6, 9, 3 | 9+3=12 ; 6+12=18 ; 3+18=21 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+49=49 | 7x+49=49 ; x+7=7 ; x=7-7 ; x=0 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+32=-24 | 8x+32=-24 ; 8x=-56 ; x=-7 |
list_summation | list_summation:left-to-right | 2, 9, 9, 1 | 2+9=11 ; 11+9=20 ; 20+1=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 596+167 | round:600+167=767 ; adjust:767-4=763 ; sum=763 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,1) ; G=(2,2) | R:(1,2) ; D:(2,2) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 3, 1, 8, 6 | [3,7,1,8,6] ; [1,3,7,8,6] ; [1,3,6,7,8] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,1) ; G=(3,3) | D:(1,1) ; D:(2,1) ; D:(3,1) ; R:(3,2) ; R:(3,3) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 4, 3, 7 | [0,4,5,3,7] ; [0,4,3,5,7] ; [0,3,4,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 272+455 | p100:200+400=600 ; p10:70+50=120 ; p1:2+5=7 ; sum=600+120+7=727 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 1, 5, 7, 3 | [0,1,5,3,7] ; [0,1,3,5,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 743+394 | p100:700+300=1000 ; p10:40+90=130 ; p1:3+4=7 ; sum=1000+130+7=1137 |
multidigit_addition | multidigit_addition:left-to-right-partials | 680+505 | p100:600+500=1100 ; p10:80+0=80 ; p1:0+5=5 ; sum=1100+80+5=1185 |
list_summation | list_summation:left-to-right | 3, 5, 8, 7 | 3+5=8 ; 8+8=16 ; 16+7=23 |
base_conversion | base_conversion:decomposition | n=149,base=4 | TERM:2*4^3=128 ; TERM:1*4^2=16 ; TERM:1*4^1=4 ; TERM:1*4^0=1 ; OUT:2111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-36=-36 | 4x-36=-36 ; 4x=0 ; x=0 |
sorting_algorithms | sorting_algorithms:heap-sort | 1, 6, 8, 3, 0 | [8,6,1,3,0] ; [0,6,1,3,8] ; [6,0,1,3,8] ; [6,3,1,0,8] ; [0,3,1,6,8] ; [3,0,1,6,8] ; [1,0,3,6,8] ; [0,1,3,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 615+297 | p100:600+200=800 ; p10:10+90=100 ; p1:5+7=12 ; sum=800+100+12=912 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-63 | 7x-49=-63 ; 7x=-14 ; x=-2 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 5, 1, 9, 6 | [5,7,1,9,6] ; [1,5,7,9,6] ; [1,5,7,9,6] ; [1,5,6,7,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 4x+0=0 | 4x+0=0 ; x+0=0 ; x=0-0 ; x=0 |
list_summation | list_summation:left-to-right | 2, 7, 2, 6 | 2+7=9 ; 9+2=11 ; 11+6=17 |
list_summation | list_summation:pairwise | 0, 4, 7, 8 | 0+4=4 ; 7+8=15 ; 4+15=19 |
base_conversion | base_conversion:decomposition | n=161,base=16 | TERM:10*16^1=160 ; TERM:1*16^0=1 ; OUT:A1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-49=-28 | 7x-49=-28 ; 7x=21 ; x=3 |
list_summation | list_summation:left-to-right | 1, 0, 1, 5 | 1+0=1 ; 1+1=2 ; 2+5=7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+25=-20 | 5x+25=-20 ; x=(-20-25)/5 ; x=-45/5 ; x=-9 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(3,5) | R:(1,5) ; D:(2,5) ; D:(3,5) |
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