task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
multidigit_addition | multidigit_addition:right-to-left-carry | 615+330 | d2:5+0+0=5→w5,c0 ; d1:1+3+0=4→w4,c0 ; d0:6+3+0=9→w9,c0 ; sum=945 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 7, 2, 9, 8 | [4,7,2,9,8] ; [2,4,7,9,8] ; [2,4,7,9,8] ; [2,4,7,8,9] |
base_conversion | base_conversion:decomposition | n=187,base=4 | TERM:2*4^3=128 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:3*4^0=3 ; OUT:2323 |
sorting_algorithms | sorting_algorithms:heap-sort | 3, 2, 1, 5, 4 | [3,5,1,2,4] ; [5,3,1,2,4] ; [5,4,1,2,3] ; [3,4,1,2,5] ; [4,3,1,2,5] ; [2,3,1,4,5] ; [3,2,1,4,5] ; [1,2,3,4,5] ; [2,1,3,4,5] ; [1,2,3,4,5] |
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) |
base_conversion | base_conversion:via-binary | n=1,base=16 | BINLEN:1 ; CHUNK:0:1 ; OUT:1 |
base_conversion | base_conversion:repeated-division | n=223,base=8 | DIV:223/8=27,r:7 ; DIV:27/8=3,r:3 ; DIV:3/8=0,r:3 ; OUT:337 |
sorting_algorithms | sorting_algorithms:bubble-sort | 8, 7, 5, 9, 2 | [7,8,5,9,2] ; [7,5,8,9,2] ; [7,5,8,2,9] ; [5,7,8,2,9] ; [5,7,2,8,9] ; [5,2,7,8,9] ; [2,5,7,8,9] |
list_summation | list_summation:right-to-left | 2, 6, 5, 1 | 5+1=6 ; 6+6=12 ; 2+12=14 |
list_summation | list_summation:right-to-left | 7, 1, 0, 5 | 0+5=5 ; 1+5=6 ; 7+6=13 |
multidigit_addition | multidigit_addition:rounding-decomposition | 362+316 | round:370+316=686 ; adjust:686-8=678 ; sum=678 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=54 | 3x+27=54 ; x+9=18 ; x=18-9 ; x=9 |
list_summation | list_summation:left-to-right | 3, 2, 1, 4 | 3+2=5 ; 5+1=6 ; 6+4=10 |
base_conversion | base_conversion:decomposition | n=250,base=16 | TERM:15*16^1=240 ; TERM:10*16^0=10 ; OUT:FA |
list_summation | list_summation:left-to-right | 5, 7, 0, 1 | 5+7=12 ; 12+0=12 ; 12+1=13 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 9, 2, 7, 1 | [4,9,2,7,1] ; [2,4,9,7,1] ; [2,4,7,9,1] ; [1,2,4,7,9] |
base_conversion | base_conversion:via-binary | n=98,base=8 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:4 ; CHUNK:2:2 ; OUT:142 |
base_conversion | base_conversion:repeated-division | n=107,base=2 | DIV:107/2=53,r:1 ; DIV:53/2=26,r:1 ; DIV:26/2=13,r:0 ; DIV:13/2=6,r:1 ; DIV:6/2=3,r:0 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:1101011 |
base_conversion | base_conversion:via-binary | n=203,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:3023 |
multidigit_addition | multidigit_addition:left-to-right-partials | 378+209 | p100:300+200=500 ; p10:70+0=70 ; p1:8+9=17 ; sum=500+70+17=587 |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 4, 6, 1, 5 | [4,9,6,1,5] ; [4,6,9,1,5] ; [4,6,1,9,5] ; [4,6,1,5,9] ; [4,1,6,5,9] ; [4,1,5,6,9] ; [1,4,5,6,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 195+106 | p100:100+100=200 ; p10:90+0=90 ; p1:5+6=11 ; sum=200+90+11=301 |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 6, 8, 5, 2 | [6,9,8,5,2] ; [6,9,5,8,2] ; [5,6,8,9,2] ; [2,5,6,8,9] |
list_summation | list_summation:pairwise | 0, 6, 9, 8 | 0+6=6 ; 9+8=17 ; 6+17=23 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x-54=-27 | 9x-54=-27 ; 9x=27 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,0) ; G=(5,2) | R:(4,1) ; D:(5,1) ; R:(5,2) |
base_conversion | base_conversion:repeated-division | n=112,base=16 | DIV:112/16=7,r:0 ; DIV:7/16=0,r:7 ; OUT:70 |
base_conversion | base_conversion:repeated-division | n=214,base=4 | DIV:214/4=53,r:2 ; DIV:53/4=13,r:1 ; DIV:13/4=3,r:1 ; DIV:3/4=0,r:3 ; OUT:3112 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 2, 1, 4, 7 | [2,6,1,4,7] ; [1,2,4,6,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 426+806 | d2:6+6+0=12→w2,c1 ; d1:2+0+1=3→w3,c0 ; d0:4+8+0=12→w2,c1 ; sum=1232 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 9, 8, 1, 3 | [1,9,8,6,3] ; [1,3,8,6,9] ; [1,3,6,8,9] ; [1,3,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-12=24 | 6x-12=24 ; x=(24--12)/6 ; x=36/6 ; x=6 |
base_conversion | base_conversion:repeated-division | n=107,base=16 | DIV:107/16=6,r:11 ; DIV:6/16=0,r:6 ; OUT:6B |
multidigit_addition | multidigit_addition:left-to-right-partials | 607+956 | p100:600+900=1500 ; p10:0+50=50 ; p1:7+6=13 ; sum=1500+50+13=1563 |
list_summation | list_summation:right-to-left | 2, 5, 3, 2 | 3+2=5 ; 5+5=10 ; 2+10=12 |
list_summation | list_summation:right-to-left | 3, 5, 0, 3 | 0+3=3 ; 5+3=8 ; 3+8=11 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 7, 2, 5, 4 | [7,9,2,5,4] ; [2,7,9,5,4] ; [2,5,7,9,4] ; [2,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=234,base=16 | TERM:14*16^1=224 ; TERM:10*16^0=10 ; OUT:EA |
base_conversion | base_conversion:decomposition | n=4,base=2 | TERM:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:100 |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 4, 8, 0, 7 | [1,4,8,0,7] ; [1,4,8,0,7] ; [0,1,4,8,7] ; [0,1,4,7,8] |
base_conversion | base_conversion:via-binary | n=67,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1003 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 5, 3, 9, 1 | [3,4,5,9,1] ; [1,3,4,5,9] |
base_conversion | base_conversion:decomposition | n=126,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:1332 |
multidigit_addition | multidigit_addition:rounding-decomposition | 680+294 | round:680+294=974 ; adjust:974-0=974 ; sum=974 |
list_summation | list_summation:left-to-right | 3, 2, 9, 0 | 3+2=5 ; 5+9=14 ; 14+0=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 531+260 | round:540+260=800 ; adjust:800-9=791 ; sum=791 |
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) |
list_summation | list_summation:pairwise | 2, 3, 5, 2 | 2+3=5 ; 5+2=7 ; 5+7=12 |
multidigit_addition | multidigit_addition:left-to-right-partials | 736+126 | p100:700+100=800 ; p10:30+20=50 ; p1:6+6=12 ; sum=800+50+12=862 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 7x+28=49 | 7x+28=49 ; x+4=7 ; x=7-4 ; x=3 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,4) ; G=(3,5) | R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:decomposition | n=127,base=4 | TERM:1*4^3=64 ; TERM:3*4^2=48 ; TERM:3*4^1=12 ; TERM:3*4^0=3 ; OUT:1333 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 9, 4, 0, 1 | [0,9,4,3,1] ; [0,1,4,3,9] ; [0,1,3,4,9] ; [0,1,3,4,9] |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(4,4) | R:(0,4) ; D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(4,2) | R:(2,1) ; R:(2,2) ; D:(3,2) ; D:(4,2) |
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) |
base_conversion | base_conversion:via-binary | n=147,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:2103 |
list_summation | list_summation:left-to-right | 1, 9, 3, 5 | 1+9=10 ; 10+3=13 ; 13+5=18 |
list_summation | list_summation:left-to-right | 1, 9, 8, 2 | 1+9=10 ; 10+8=18 ; 18+2=20 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 0, 1, 2, 9 | [6,9,1,2,0] ; [9,6,1,2,0] ; [0,6,1,2,9] ; [6,0,1,2,9] ; [6,2,1,0,9] ; [0,2,1,6,9] ; [2,0,1,6,9] ; [1,0,2,6,9] ; [0,1,2,6,9] |
list_summation | list_summation:left-to-right | 2, 6, 2, 0 | 2+6=8 ; 8+2=10 ; 10+0=10 |
list_summation | list_summation:left-to-right | 0, 7, 5, 9 | 0+7=7 ; 7+5=12 ; 12+9=21 |
base_conversion | base_conversion:repeated-division | n=198,base=8 | DIV:198/8=24,r:6 ; DIV:24/8=3,r:0 ; DIV:3/8=0,r:3 ; OUT:306 |
multidigit_addition | multidigit_addition:left-to-right-partials | 361+760 | p100:300+700=1000 ; p10:60+60=120 ; p1:1+0=1 ; sum=1000+120+1=1121 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+14=-2 | 2x+14=-2 ; 2x=-16 ; x=-8 |
multidigit_addition | multidigit_addition:right-to-left-carry | 542+278 | d2:2+8+0=10→w0,c1 ; d1:4+7+1=12→w2,c1 ; d0:5+2+1=8→w8,c0 ; sum=820 |
multidigit_addition | multidigit_addition:right-to-left-carry | 311+302 | d2:1+2+0=3→w3,c0 ; d1:1+0+0=1→w1,c0 ; d0:3+3+0=6→w6,c0 ; sum=613 |
list_summation | list_summation:pairwise | 4, 6, 5, 7 | 4+6=10 ; 5+7=12 ; 10+12=22 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,5) | R:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 0, 3, 7, 4 | [8,7,3,0,4] ; [4,7,3,0,8] ; [7,4,3,0,8] ; [0,4,3,7,8] ; [4,0,3,7,8] ; [3,0,4,7,8] ; [0,3,4,7,8] |
base_conversion | base_conversion:via-binary | n=64,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:0 ; OUT:40 |
sorting_algorithms | sorting_algorithms:insertion-sort | 8, 7, 5, 2, 1 | [7,8,5,2,1] ; [5,7,8,2,1] ; [2,5,7,8,1] ; [1,2,5,7,8] |
list_summation | list_summation:left-to-right | 3, 7, 0, 7 | 3+7=10 ; 10+0=10 ; 10+7=17 |
multidigit_addition | multidigit_addition:rounding-decomposition | 727+639 | round:730+639=1369 ; adjust:1369-3=1366 ; sum=1366 |
list_summation | list_summation:right-to-left | 0, 3, 9, 6 | 9+6=15 ; 3+15=18 ; 0+18=18 |
base_conversion | base_conversion:via-binary | n=188,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:3 ; CHUNK:2:3 ; CHUNK:3:0 ; OUT:2330 |
list_summation | list_summation:pairwise | 7, 9, 8, 8 | 7+9=16 ; 8+8=16 ; 16+16=32 |
multidigit_addition | multidigit_addition:right-to-left-carry | 871+176 | d2:1+6+0=7→w7,c0 ; d1:7+7+0=14→w4,c1 ; d0:8+1+1=10→w0,c1 ; sum=1047 |
base_conversion | base_conversion:via-binary | n=91,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:1123 |
base_conversion | base_conversion:repeated-division | n=251,base=4 | DIV:251/4=62,r:3 ; DIV:62/4=15,r:2 ; DIV:15/4=3,r:3 ; DIV:3/4=0,r:3 ; OUT:3323 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+0=-42 | 6x+0=-42 ; x=(-42-0)/6 ; x=-42/6 ; x=-7 |
list_summation | list_summation:pairwise | 6, 7, 4, 9 | 6+7=13 ; 4+9=13 ; 13+13=26 |
list_summation | list_summation:left-to-right | 3, 4, 1, 7 | 3+4=7 ; 7+1=8 ; 8+7=15 |
list_summation | list_summation:right-to-left | 9, 3, 9, 0 | 9+0=9 ; 3+9=12 ; 9+12=21 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,3) ; G=(2,4) | D:(1,3) ; D:(2,3) ; R:(2,4) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,0) ; G=(5,5) | D:(2,0) ; D:(3,0) ; D:(4,0) ; D:(5,0) ; R:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 867+164 | p100:800+100=900 ; p10:60+60=120 ; p1:7+4=11 ; sum=900+120+11=1031 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,1) ; G=(3,2) | R:(0,2) ; D:(1,2) ; D:(2,2) ; D:(3,2) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,3) ; G=(1,4) | R:(0,4) ; D:(1,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+24=30 | 6x+24=30 ; x+4=5 ; x=5-4 ; x=1 |
multidigit_addition | multidigit_addition:right-to-left-carry | 119+466 | d2:9+6+0=15→w5,c1 ; d1:1+6+1=8→w8,c0 ; d0:1+4+0=5→w5,c0 ; sum=585 |
list_summation | list_summation:left-to-right | 5, 5, 6, 7 | 5+5=10 ; 10+6=16 ; 16+7=23 |
list_summation | list_summation:left-to-right | 3, 6, 9, 5 | 3+6=9 ; 9+9=18 ; 18+5=23 |
multidigit_addition | multidigit_addition:right-to-left-carry | 637+114 | d2:7+4+0=11→w1,c1 ; d1:3+1+1=5→w5,c0 ; d0:6+1+0=7→w7,c0 ; sum=751 |
multidigit_addition | multidigit_addition:left-to-right-partials | 497+678 | p100:400+600=1000 ; p10:90+70=160 ; p1:7+8=15 ; sum=1000+160+15=1175 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=32 | 8x+56=32 ; 8x=-24 ; x=-3 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x-15=10 | 5x-15=10 ; x+-3=2 ; x=2--3 ; x=5 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,3) ; G=(5,5) | R:(4,4) ; R:(4,5) ; D:(5,5) |
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