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, 1, 9, 9 | 9+1=10 ; 9+9=18 ; 10+18=28 |
list_summation | list_summation:right-to-left | 1, 3, 1, 1 | 1+1=2 ; 3+2=5 ; 1+5=6 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 6, 0, 3 | [5,3,6,0,1] ; [6,3,5,0,1] ; [1,3,5,0,6] ; [5,3,1,0,6] ; [0,3,1,5,6] ; [3,0,1,5,6] ; [1,0,3,5,6] ; [0,1,3,5,6] |
list_summation | list_summation:pairwise | 9, 4, 2, 1 | 9+4=13 ; 2+1=3 ; 13+3=16 |
sorting_algorithms | sorting_algorithms:selection-sort | 6, 4, 3, 8, 7 | [3,4,6,8,7] ; [3,4,6,8,7] ; [3,4,6,8,7] ; [3,4,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,3) ; G=(5,5) | D:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 399+279 | p100:300+200=500 ; p10:90+70=160 ; p1:9+9=18 ; sum=500+160+18=678 |
list_summation | list_summation:pairwise | 6, 6, 4, 0 | 6+6=12 ; 4+0=4 ; 12+4=16 |
list_summation | list_summation:right-to-left | 1, 5, 0, 7 | 0+7=7 ; 5+7=12 ; 1+12=13 |
base_conversion | base_conversion:via-binary | n=247,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:7 ; OUT:F7 |
list_summation | list_summation:right-to-left | 6, 2, 4, 3 | 4+3=7 ; 2+7=9 ; 6+9=15 |
multidigit_addition | multidigit_addition:right-to-left-carry | 588+463 | d2:8+3+0=11→w1,c1 ; d1:8+6+1=15→w5,c1 ; d0:5+4+1=10→w0,c1 ; sum=1051 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 9, 3, 2, 8 | [2,9,3,7,8] ; [2,3,9,7,8] ; [2,3,7,9,8] ; [2,3,7,8,9] |
sorting_algorithms | sorting_algorithms:insertion-sort | 2, 9, 0, 5, 3 | [2,9,0,5,3] ; [0,2,9,5,3] ; [0,2,5,9,3] ; [0,2,3,5,9] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x+8=24 | 8x+8=24 ; x+1=3 ; x=3-1 ; x=2 |
multidigit_addition | multidigit_addition:rounding-decomposition | 874+557 | round:880+557=1437 ; adjust:1437-6=1431 ; sum=1431 |
multidigit_addition | multidigit_addition:rounding-decomposition | 372+671 | round:380+671=1051 ; adjust:1051-8=1043 ; sum=1043 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x+28=44 | 4x+28=44 ; x=(44-28)/4 ; x=16/4 ; x=4 |
multidigit_addition | multidigit_addition:right-to-left-carry | 304+849 | d2:4+9+0=13→w3,c1 ; d1:0+4+1=5→w5,c0 ; d0:3+8+0=11→w1,c1 ; sum=1153 |
multidigit_addition | multidigit_addition:left-to-right-partials | 567+503 | p100:500+500=1000 ; p10:60+0=60 ; p1:7+3=10 ; sum=1000+60+10=1070 |
multidigit_addition | multidigit_addition:left-to-right-partials | 197+452 | p100:100+400=500 ; p10:90+50=140 ; p1:7+2=9 ; sum=500+140+9=649 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x-45=-5 | 5x-45=-5 ; x=(-5--45)/5 ; x=40/5 ; x=8 |
base_conversion | base_conversion:via-binary | n=103,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:2 ; CHUNK:2:1 ; CHUNK:3:3 ; OUT:1213 |
multidigit_addition | multidigit_addition:left-to-right-partials | 272+632 | p100:200+600=800 ; p10:70+30=100 ; p1:2+2=4 ; sum=800+100+4=904 |
multidigit_addition | multidigit_addition:right-to-left-carry | 774+724 | d2:4+4+0=8→w8,c0 ; d1:7+2+0=9→w9,c0 ; d0:7+7+0=14→w4,c1 ; sum=1498 |
base_conversion | base_conversion:repeated-division | n=193,base=16 | DIV:193/16=12,r:1 ; DIV:12/16=0,r:12 ; OUT:C1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-6=-27 | 3x-6=-27 ; 3x=-21 ; x=-7 |
base_conversion | base_conversion:via-binary | n=145,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:1 ; OUT:221 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,4) ; G=(2,5) | R:(1,5) ; D:(2,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x-12=6 | 2x-12=6 ; 2x=18 ; x=9 |
base_conversion | base_conversion:decomposition | n=248,base=4 | TERM:3*4^3=192 ; TERM:3*4^2=48 ; TERM:2*4^1=8 ; TERM:0*4^0=0 ; OUT:3320 |
multidigit_addition | multidigit_addition:right-to-left-carry | 444+392 | d2:4+2+0=6→w6,c0 ; d1:4+9+0=13→w3,c1 ; d0:4+3+1=8→w8,c0 ; sum=836 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+16=32 | 4x+16=32 ; 4x=16 ; x=4 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(1,2) ; G=(5,5) | D:(2,2) ; D:(3,2) ; D:(4,2) ; D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 613+761 | p100:600+700=1300 ; p10:10+60=70 ; p1:3+1=4 ; sum=1300+70+4=1374 |
list_summation | list_summation:left-to-right | 3, 7, 9, 1 | 3+7=10 ; 10+9=19 ; 19+1=20 |
base_conversion | base_conversion:decomposition | n=239,base=2 | TERM:1*2^7=128 ; 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:11101111 |
list_summation | list_summation:right-to-left | 6, 3, 3, 5 | 3+5=8 ; 3+8=11 ; 6+11=17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,1) ; G=(5,5) | D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=90 | 9x+45=90 ; 9x=45 ; x=5 |
sorting_algorithms | sorting_algorithms:heap-sort | 6, 7, 4, 9, 5 | [6,9,4,7,5] ; [9,6,4,7,5] ; [9,7,4,6,5] ; [5,7,4,6,9] ; [7,5,4,6,9] ; [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] |
list_summation | list_summation:left-to-right | 0, 3, 8, 5 | 0+3=3 ; 3+8=11 ; 11+5=16 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x-15=-40 | 5x-15=-40 ; 5x=-25 ; x=-5 |
list_summation | list_summation:left-to-right | 4, 5, 0, 5 | 4+5=9 ; 9+0=9 ; 9+5=14 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 3, 8, 7 | [5,8,3,1,7] ; [8,5,3,1,7] ; [8,7,3,1,5] ; [5,7,3,1,8] ; [7,5,3,1,8] ; [1,5,3,7,8] ; [5,1,3,7,8] ; [3,1,5,7,8] ; [1,3,5,7,8] |
list_summation | list_summation:pairwise | 0, 2, 1, 1 | 0+2=2 ; 1+1=2 ; 2+2=4 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(1,0) ; G=(2,5) | R:(1,1) ; R:(1,2) ; R:(1,3) ; R:(1,4) ; R:(1,5) ; D:(2,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 1, 3, 4, 7, 2 | [1,3,4,2,7] ; [1,3,2,4,7] ; [1,2,3,4,7] |
list_summation | list_summation:left-to-right | 5, 2, 9, 0 | 5+2=7 ; 7+9=16 ; 16+0=16 |
list_summation | list_summation:pairwise | 1, 6, 9, 3 | 1+6=7 ; 9+3=12 ; 7+12=19 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x+18=-3 | 3x+18=-3 ; 3x=-21 ; x=-7 |
multidigit_addition | multidigit_addition:left-to-right-partials | 799+712 | p100:700+700=1400 ; p10:90+10=100 ; p1:9+2=11 ; sum=1400+100+11=1511 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 2, 1, 6, 3 | [5,6,1,2,3] ; [6,5,1,2,3] ; [3,5,1,2,6] ; [5,3,1,2,6] ; [2,3,1,5,6] ; [3,2,1,5,6] ; [1,2,3,5,6] ; [2,1,3,5,6] ; [1,2,3,5,6] |
sorting_algorithms | sorting_algorithms:merge-sort | 9, 8, 1, 2, 4 | [8,9,1,2,4] ; [1,2,8,9,4] ; [1,2,4,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+0=42 | 6x+0=42 ; x=(42-0)/6 ; x=42/6 ; x=7 |
sorting_algorithms | sorting_algorithms:selection-sort | 3, 8, 7, 0, 2 | [0,8,7,3,2] ; [0,2,7,3,8] ; [0,2,3,7,8] ; [0,2,3,7,8] |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 6, 7, 0, 2 | [0,6,7,8,2] ; [0,2,7,8,6] ; [0,2,6,8,7] ; [0,2,6,7,8] |
base_conversion | base_conversion:decomposition | n=188,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:1*2^2=4 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:10111100 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-54 | 6x-30=-54 ; 6x=-24 ; x=-4 |
base_conversion | base_conversion:decomposition | n=241,base=8 | TERM:3*8^2=192 ; TERM:6*8^1=48 ; TERM:1*8^0=1 ; OUT:361 |
sorting_algorithms | sorting_algorithms:selection-sort | 4, 9, 1, 6, 2 | [1,9,4,6,2] ; [1,2,4,6,9] ; [1,2,4,6,9] ; [1,2,4,6,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,3) | R:(2,1) ; R:(2,2) ; R:(2,3) ; D:(3,3) ; D:(4,3) ; D:(5,3) |
list_summation | list_summation:right-to-left | 6, 4, 3, 0 | 3+0=3 ; 4+3=7 ; 6+7=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x+20=36 | 4x+20=36 ; 4x=16 ; x=4 |
list_summation | list_summation:pairwise | 2, 2, 3, 2 | 2+2=4 ; 3+2=5 ; 4+5=9 |
multidigit_addition | multidigit_addition:right-to-left-carry | 754+882 | d2:4+2+0=6→w6,c0 ; d1:5+8+0=13→w3,c1 ; d0:7+8+1=16→w6,c1 ; sum=1636 |
multidigit_addition | multidigit_addition:rounding-decomposition | 814+745 | round:820+745=1565 ; adjust:1565-6=1559 ; sum=1559 |
sorting_algorithms | sorting_algorithms:bubble-sort | 3, 6, 7, 0, 2 | [3,6,0,7,2] ; [3,6,0,2,7] ; [3,0,6,2,7] ; [3,0,2,6,7] ; [0,3,2,6,7] ; [0,2,3,6,7] |
linear_equation_solving | linear_equation_solving:inverse-ops | 2x-12=0 | 2x-12=0 ; x=(0--12)/2 ; x=12/2 ; x=6 |
sorting_algorithms | sorting_algorithms:selection-sort | 2, 4, 6, 9, 8 | [2,4,6,9,8] ; [2,4,6,9,8] ; [2,4,6,9,8] ; [2,4,6,8,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 1, 9, 8, 6 | [5,8,9,1,6] ; [9,8,5,1,6] ; [6,8,5,1,9] ; [8,6,5,1,9] ; [1,6,5,8,9] ; [6,1,5,8,9] ; [5,1,6,8,9] ; [1,5,6,8,9] |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-24=-16 | 4x-24=-16 ; x=(-16--24)/4 ; x=8/4 ; x=2 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,0) ; G=(3,2) | D:(3,0) ; R:(3,1) ; R:(3,2) |
base_conversion | base_conversion:via-binary | n=179,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:6 ; CHUNK:2:3 ; OUT:263 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+45=40 | 5x+45=40 ; 5x=-5 ; x=-1 |
base_conversion | base_conversion:decomposition | n=154,base=16 | TERM:9*16^1=144 ; TERM:10*16^0=10 ; OUT:9A |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; D:(5,3) ; R:(5,4) |
list_summation | list_summation:right-to-left | 6, 9, 4, 0 | 4+0=4 ; 9+4=13 ; 6+13=19 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,0) ; G=(5,5) | R:(2,1) ; R:(2,2) ; R:(2,3) ; R:(2,4) ; R:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 0, 2, 1, 3 | [0,8,2,1,3] ; [0,8,1,2,3] ; [0,1,2,8,3] ; [0,1,2,3,8] |
list_summation | list_summation:pairwise | 4, 2, 9, 2 | 4+2=6 ; 9+2=11 ; 6+11=17 |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 2, 4, 8, 1 | [1,2,4,8,7] ; [1,2,4,8,7] ; [1,2,4,8,7] ; [1,2,4,7,8] |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 6x+42=90 | 6x+42=90 ; x+7=15 ; x=15-7 ; x=8 |
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) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 3x+27=33 | 3x+27=33 ; x+9=11 ; x=11-9 ; x=2 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(3,1) | R:(1,1) ; D:(2,1) ; D:(3,1) |
multidigit_addition | multidigit_addition:left-to-right-partials | 631+940 | p100:600+900=1500 ; p10:30+40=70 ; p1:1+0=1 ; sum=1500+70+1=1571 |
list_summation | list_summation:left-to-right | 7, 9, 2, 5 | 7+9=16 ; 16+2=18 ; 18+5=23 |
sorting_algorithms | sorting_algorithms:merge-sort | 0, 7, 6, 5, 9 | [0,7,5,6,9] ; [0,5,6,7,9] |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(0,4) ; G=(1,5) | R:(0,5) ; D:(1,5) |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+2=2 | 2x+2=2 ; x+1=1 ; x=1-1 ; x=0 |
multidigit_addition | multidigit_addition:right-to-left-carry | 118+978 | d2:8+8+0=16→w6,c1 ; d1:1+7+1=9→w9,c0 ; d0:1+9+0=10→w0,c1 ; sum=1096 |
multidigit_addition | multidigit_addition:left-to-right-partials | 409+702 | p100:400+700=1100 ; p10:0+0=0 ; p1:9+2=11 ; sum=1100+0+11=1111 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 2x+18=12 | 2x+18=12 ; x+9=6 ; x=6-9 ; x=-3 |
multidigit_addition | multidigit_addition:right-to-left-carry | 933+867 | d2:3+7+0=10→w0,c1 ; d1:3+6+1=10→w0,c1 ; d0:9+8+1=18→w8,c1 ; sum=1800 |
multidigit_addition | multidigit_addition:right-to-left-carry | 829+938 | d2:9+8+0=17→w7,c1 ; d1:2+3+1=6→w6,c0 ; d0:8+9+0=17→w7,c1 ; sum=1767 |
multidigit_addition | multidigit_addition:rounding-decomposition | 871+199 | round:880+199=1079 ; adjust:1079-9=1070 ; sum=1070 |
base_conversion | base_conversion:repeated-division | n=73,base=16 | DIV:73/16=4,r:9 ; DIV:4/16=0,r:4 ; OUT:49 |
linear_equation_solving | linear_equation_solving:inverse-ops | 7x-7=-49 | 7x-7=-49 ; x=(-49--7)/7 ; x=-42/7 ; x=-6 |
base_conversion | base_conversion:via-binary | n=131,base=8 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:0 ; CHUNK:2:3 ; OUT:203 |
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