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:subtract-then-divide | 5x+20=5 | 5x+20=5 ; 5x=-15 ; x=-3 |
list_summation | list_summation:left-to-right | 9, 7, 6, 0 | 9+7=16 ; 16+6=22 ; 22+0=22 |
multidigit_addition | multidigit_addition:right-to-left-carry | 253+392 | d2:3+2+0=5→w5,c0 ; d1:5+9+0=14→w4,c1 ; d0:2+3+1=6→w6,c0 ; sum=645 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+81=135 | 9x+81=135 ; x=(135-81)/9 ; x=54/9 ; x=6 |
base_conversion | base_conversion:via-binary | n=74,base=16 | BINLEN:7 ; CHUNK:0:4 ; CHUNK:1:10 ; OUT:4A |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=4 | 2x-4=4 ; x+-2=2 ; x=2--2 ; x=4 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 8, 3, 5, 9 | [3,8,4,5,9] ; [3,4,8,5,9] ; [3,4,5,8,9] ; [3,4,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 763+294 | p100:700+200=900 ; p10:60+90=150 ; p1:3+4=7 ; sum=900+150+7=1057 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(4,2) | R:(0,1) ; D:(1,1) ; R:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) |
list_summation | list_summation:left-to-right | 0, 7, 5, 0 | 0+7=7 ; 7+5=12 ; 12+0=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x-4=12 | 2x-4=12 ; x+-2=6 ; x=6--2 ; x=8 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(5,5) | D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+24=80 | 8x+24=80 ; x+3=10 ; x=10-3 ; x=7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,4) ; G=(5,5) | D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,2) ; G=(5,5) | R:(0,3) ; D:(1,3) ; R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 9, 1, 2, 4, 5 | [1,9,2,4,5] ; [1,2,9,4,5] ; [1,2,4,9,5] ; [1,2,4,5,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 0, 3, 6, 8 | [0,2,3,6,8] ; [0,2,3,6,8] ; [0,2,3,6,8] ; [0,2,3,6,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 5x+5=10 | 5x+5=10 ; x+1=2 ; x=2-1 ; x=1 |
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) |
list_summation | list_summation:left-to-right | 2, 5, 5, 7 | 2+5=7 ; 7+5=12 ; 12+7=19 |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 9, 7, 8, 6 | [4,7,8,9,6] ; [4,6,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,3) | D:(4,2) ; R:(4,3) |
list_summation | list_summation:left-to-right | 4, 9, 0, 6 | 4+9=13 ; 13+0=13 ; 13+6=19 |
list_summation | list_summation:right-to-left | 9, 8, 3, 6 | 3+6=9 ; 8+9=17 ; 9+17=26 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+6=33 | 3x+6=33 ; x+2=11 ; x=11-2 ; x=9 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-16=-20 | 4x-16=-20 ; x=(-20--16)/4 ; x=-4/4 ; x=-1 |
multidigit_addition | multidigit_addition:left-to-right-partials | 153+879 | p100:100+800=900 ; p10:50+70=120 ; p1:3+9=12 ; sum=900+120+12=1032 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 9x-36=-27 | 9x-36=-27 ; x+-4=-3 ; x=-3--4 ; x=1 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,1) | R:(0,1) ; D:(1,1) ; D:(2,1) |
list_summation | list_summation:left-to-right | 7, 9, 9, 0 | 7+9=16 ; 16+9=25 ; 25+0=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 7, 9, 1, 2 | [7,8,9,1,2] ; [7,8,1,9,2] ; [1,7,8,9,2] ; [1,2,7,8,9] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,4) ; G=(4,5) | D:(3,4) ; D:(4,4) ; R:(4,5) |
base_conversion | base_conversion:via-binary | n=31,base=4 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:3 ; OUT:133 |
list_summation | list_summation:right-to-left | 9, 7, 5, 8 | 5+8=13 ; 7+13=20 ; 9+20=29 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,3) ; G=(5,5) | D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
list_summation | list_summation:left-to-right | 2, 5, 1, 0 | 2+5=7 ; 7+1=8 ; 8+0=8 |
sorting_algorithms | sorting_algorithms:bubble-sort | 5, 7, 2, 8, 6 | [5,2,7,8,6] ; [5,2,7,6,8] ; [2,5,7,6,8] ; [2,5,6,7,8] |
sorting_algorithms | sorting_algorithms:merge-sort | 4, 7, 0, 5, 3 | [0,4,5,7,3] ; [0,3,4,5,7] |
list_summation | list_summation:pairwise | 5, 5, 2, 1 | 5+5=10 ; 2+1=3 ; 10+3=13 |
multidigit_addition | multidigit_addition:right-to-left-carry | 987+135 | d2:7+5+0=12→w2,c1 ; d1:8+3+1=12→w2,c1 ; d0:9+1+1=11→w1,c1 ; sum=1122 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 9, 6, 4, 3 | [3,9,6,4,8] ; [3,4,6,9,8] ; [3,4,6,9,8] ; [3,4,6,8,9] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x+56=0 | 8x+56=0 ; 8x=-56 ; x=-7 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(2,5) | D:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) |
list_summation | list_summation:left-to-right | 7, 6, 5, 9 | 7+6=13 ; 13+5=18 ; 18+9=27 |
list_summation | list_summation:left-to-right | 1, 3, 3, 0 | 1+3=4 ; 4+3=7 ; 7+0=7 |
sorting_algorithms | sorting_algorithms:insertion-sort | 6, 0, 2, 5, 3 | [0,6,2,5,3] ; [0,2,6,5,3] ; [0,2,5,6,3] ; [0,2,3,5,6] |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 8, 9, 5, 4 | [3,8,5,9,4] ; [3,8,5,4,9] ; [3,5,8,4,9] ; [3,5,4,8,9] ; [3,4,5,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 858+341 | p100:800+300=1100 ; p10:50+40=90 ; p1:8+1=9 ; sum=1100+90+9=1199 |
multidigit_addition | multidigit_addition:rounding-decomposition | 329+123 | round:330+123=453 ; adjust:453-1=452 ; sum=452 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-12=-6 | 3x-12=-6 ; x+-4=-2 ; x=-2--4 ; x=2 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 9, 4, 5, 8 | [3,4,9,5,8] ; [3,4,5,9,8] ; [3,4,5,8,9] |
list_summation | list_summation:left-to-right | 1, 2, 2, 5 | 1+2=3 ; 3+2=5 ; 5+5=10 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-40=-55 | 5x-40=-55 ; x=(-55--40)/5 ; x=-15/5 ; x=-3 |
base_conversion | base_conversion:via-binary | n=27,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; OUT:11011 |
base_conversion | base_conversion:via-binary | n=250,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:10 ; OUT:FA |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x-9=-30 | 3x-9=-30 ; x=(-30--9)/3 ; x=-21/3 ; x=-7 |
list_summation | list_summation:pairwise | 0, 0, 3, 2 | 0+0=0 ; 3+2=5 ; 0+5=5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 901+578 | p100:900+500=1400 ; p10:0+70=70 ; p1:1+8=9 ; sum=1400+70+9=1479 |
multidigit_addition | multidigit_addition:right-to-left-carry | 670+959 | d2:0+9+0=9→w9,c0 ; d1:7+5+0=12→w2,c1 ; d0:6+9+1=16→w6,c1 ; sum=1629 |
base_conversion | base_conversion:repeated-division | n=151,base=2 | DIV:151/2=75,r:1 ; DIV:75/2=37,r:1 ; DIV:37/2=18,r:1 ; DIV:18/2=9,r:0 ; DIV:9/2=4,r:1 ; DIV:4/2=2,r:0 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10010111 |
list_summation | list_summation:left-to-right | 6, 0, 2, 6 | 6+0=6 ; 6+2=8 ; 8+6=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 197+990 | round:200+990=1190 ; adjust:1190-3=1187 ; sum=1187 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 3, 1, 0, 8 | [6,8,1,0,3] ; [8,6,1,0,3] ; [3,6,1,0,8] ; [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] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+12=-3 | 3x+12=-3 ; 3x=-15 ; x=-5 |
multidigit_addition | multidigit_addition:left-to-right-partials | 161+713 | p100:100+700=800 ; p10:60+10=70 ; p1:1+3=4 ; sum=800+70+4=874 |
sorting_algorithms | sorting_algorithms:heap-sort | 8, 7, 4, 6, 0 | [0,7,4,6,8] ; [7,0,4,6,8] ; [7,6,4,0,8] ; [0,6,4,7,8] ; [6,0,4,7,8] ; [4,0,6,7,8] ; [0,4,6,7,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 215+804 | p100:200+800=1000 ; p10:10+0=10 ; p1:5+4=9 ; sum=1000+10+9=1019 |
multidigit_addition | multidigit_addition:right-to-left-carry | 418+630 | d2:8+0+0=8→w8,c0 ; d1:1+3+0=4→w4,c0 ; d0:4+6+0=10→w0,c1 ; sum=1048 |
list_summation | list_summation:right-to-left | 4, 6, 0, 3 | 0+3=3 ; 6+3=9 ; 4+9=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+24=39 | 3x+24=39 ; 3x=15 ; x=5 |
base_conversion | base_conversion:via-binary | n=16,base=2 | BINLEN:5 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:0 ; OUT:10000 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 0, 1, 7, 2 | [0,4,1,7,2] ; [0,1,4,7,2] ; [0,1,4,7,2] ; [0,1,2,4,7] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=56 | 4x+20=56 ; 4x=36 ; x=9 |
base_conversion | base_conversion:repeated-division | n=144,base=4 | DIV:144/4=36,r:0 ; DIV:36/4=9,r:0 ; DIV:9/4=2,r:1 ; DIV:2/4=0,r:2 ; OUT:2100 |
list_summation | list_summation:left-to-right | 6, 2, 4, 8 | 6+2=8 ; 8+4=12 ; 12+8=20 |
multidigit_addition | multidigit_addition:rounding-decomposition | 512+695 | round:520+695=1215 ; adjust:1215-8=1207 ; sum=1207 |
base_conversion | base_conversion:decomposition | n=16,base=4 | TERM:1*4^2=16 ; TERM:0*4^1=0 ; TERM:0*4^0=0 ; OUT:100 |
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) |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+32=16 | 8x+32=16 ; x=(16-32)/8 ; x=-16/8 ; x=-2 |
multidigit_addition | multidigit_addition:left-to-right-partials | 910+790 | p100:900+700=1600 ; p10:10+90=100 ; p1:0+0=0 ; sum=1600+100+0=1700 |
list_summation | list_summation:pairwise | 6, 3, 8, 7 | 6+3=9 ; 8+7=15 ; 9+15=24 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 0, 4, 9, 6 | [0,3,4,9,6] ; [0,3,4,9,6] ; [0,3,4,9,6] ; [0,3,4,6,9] |
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:right-to-left-carry | 375+467 | d2:5+7+0=12→w2,c1 ; d1:7+6+1=14→w4,c1 ; d0:3+4+1=8→w8,c0 ; sum=842 |
list_summation | list_summation:right-to-left | 6, 3, 1, 4 | 1+4=5 ; 3+5=8 ; 6+8=14 |
multidigit_addition | multidigit_addition:rounding-decomposition | 268+376 | round:270+376=646 ; adjust:646-2=644 ; sum=644 |
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 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,4) ; G=(5,5) | D:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) ; D:(5,4) ; R:(5,5) |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 5, 1, 7 | [2,9,5,1,7] ; [2,5,9,1,7] ; [1,2,5,9,7] ; [1,2,5,7,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 5, 7, 8, 4 | [2,5,7,4,8] ; [2,5,4,7,8] ; [2,4,5,7,8] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; R:(1,5) ; D:(2,5) ; D:(3,5) |
list_summation | list_summation:pairwise | 0, 6, 0, 9 | 0+6=6 ; 0+9=9 ; 6+9=15 |
linear_equation_solving | linear_equation_solving:inverse-ops | 8x+24=88 | 8x+24=88 ; x=(88-24)/8 ; x=64/8 ; x=8 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; R:(3,5) ; D:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x-15=-27 | 3x-15=-27 ; x+-5=-9 ; x=-9--5 ; x=-4 |
sorting_algorithms | sorting_algorithms:merge-sort | 7, 2, 4, 1, 0 | [2,7,4,1,0] ; [2,7,1,4,0] ; [1,2,4,7,0] ; [0,1,2,4,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 989+143 | d2:9+3+0=12→w2,c1 ; d1:8+4+1=13→w3,c1 ; d0:9+1+1=11→w1,c1 ; sum=1132 |
base_conversion | base_conversion:via-binary | n=145,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:221 |
multidigit_addition | multidigit_addition:rounding-decomposition | 304+699 | round:310+699=1009 ; adjust:1009-6=1003 ; sum=1003 |
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