task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
base_conversion | base_conversion:repeated-division | n=187,base=4 | DIV:187/4=46,r:3 ; DIV:46/4=11,r:2 ; DIV:11/4=2,r:3 ; DIV:2/4=0,r:2 ; OUT:2323 |
list_summation | list_summation:right-to-left | 9, 0, 0, 9 | 0+9=9 ; 0+9=9 ; 9+9=18 |
multidigit_addition | multidigit_addition:left-to-right-partials | 717+416 | p100:700+400=1100 ; p10:10+10=20 ; p1:7+6=13 ; sum=1100+20+13=1133 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+10=30 | 5x+10=30 ; x=(30-10)/5 ; x=20/5 ; x=4 |
sorting_algorithms | sorting_algorithms:insertion-sort | 4, 7, 5, 9, 3 | [4,7,5,9,3] ; [4,5,7,9,3] ; [4,5,7,9,3] ; [3,4,5,7,9] |
base_conversion | base_conversion:via-binary | n=198,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:0 ; CHUNK:2:6 ; OUT:306 |
multidigit_addition | multidigit_addition:right-to-left-carry | 556+988 | d2:6+8+0=14→w4,c1 ; d1:5+8+1=14→w4,c1 ; d0:5+9+1=15→w5,c1 ; sum=1544 |
multidigit_addition | multidigit_addition:right-to-left-carry | 285+495 | d2:5+5+0=10→w0,c1 ; d1:8+9+1=18→w8,c1 ; d0:2+4+1=7→w7,c0 ; sum=780 |
base_conversion | base_conversion:via-binary | n=247,base=16 | BINLEN:8 ; CHUNK:0:15 ; CHUNK:1:7 ; OUT:F7 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+63=90 | 9x+63=90 ; x=(90-63)/9 ; x=27/9 ; x=3 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 5, 4, 1, 3 | [0,4,5,1,3] ; [0,4,1,5,3] ; [0,4,1,3,5] ; [0,1,4,3,5] ; [0,1,3,4,5] |
multidigit_addition | multidigit_addition:right-to-left-carry | 792+774 | d2:2+4+0=6→w6,c0 ; d1:9+7+0=16→w6,c1 ; d0:7+7+1=15→w5,c1 ; sum=1566 |
multidigit_addition | multidigit_addition:right-to-left-carry | 746+202 | d2:6+2+0=8→w8,c0 ; d1:4+0+0=4→w4,c0 ; d0:7+2+0=9→w9,c0 ; sum=948 |
multidigit_addition | multidigit_addition:left-to-right-partials | 233+940 | p100:200+900=1100 ; p10:30+40=70 ; p1:3+0=3 ; sum=1100+70+3=1173 |
sorting_algorithms | sorting_algorithms:merge-sort | 3, 8, 5, 4, 9 | [3,8,4,5,9] ; [3,4,5,8,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 292+242 | round:300+242=542 ; adjust:542-8=534 ; sum=534 |
multidigit_addition | multidigit_addition:rounding-decomposition | 177+680 | round:180+680=860 ; adjust:860-3=857 ; sum=857 |
list_summation | list_summation:right-to-left | 3, 1, 6, 7 | 6+7=13 ; 1+13=14 ; 3+14=17 |
list_summation | list_summation:right-to-left | 8, 2, 7, 1 | 7+1=8 ; 2+8=10 ; 8+10=18 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=-25 | 5x+10=-25 ; 5x=-35 ; x=-7 |
list_summation | list_summation:pairwise | 4, 4, 2, 5 | 4+4=8 ; 2+5=7 ; 8+7=15 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,2) ; G=(5,4) | R:(4,3) ; R:(4,4) ; D:(5,4) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,0) ; G=(5,3) | R:(1,1) ; D:(2,1) ; R:(2,2) ; D:(3,2) ; R:(3,3) ; D:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:left-to-right-partials | 181+321 | p100:100+300=400 ; p10:80+20=100 ; p1:1+1=2 ; sum=400+100+2=502 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,0) ; G=(2,1) | R:(0,1) ; D:(1,1) ; D:(2,1) |
base_conversion | base_conversion:decomposition | n=40,base=2 | TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:101000 |
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) |
multidigit_addition | multidigit_addition:right-to-left-carry | 786+173 | d2:6+3+0=9→w9,c0 ; d1:8+7+0=15→w5,c1 ; d0:7+1+1=9→w9,c0 ; sum=959 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 5x+10=-15 | 5x+10=-15 ; 5x=-25 ; x=-5 |
multidigit_addition | multidigit_addition:right-to-left-carry | 546+196 | d2:6+6+0=12→w2,c1 ; d1:4+9+1=14→w4,c1 ; d0:5+1+1=7→w7,c0 ; sum=742 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=6 | 6x+0=6 ; 6x=6 ; x=1 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 5, 7, 8 | [2,8,5,7,0] ; [8,2,5,7,0] ; [8,7,5,2,0] ; [0,7,5,2,8] ; [7,0,5,2,8] ; [7,2,5,0,8] ; [0,2,5,7,8] ; [5,2,0,7,8] ; [0,2,5,7,8] ; [2,0,5,7,8] ; [0,2,5,7,8] |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 8x-48=-48 | 8x-48=-48 ; 8x=0 ; x=0 |
multidigit_addition | multidigit_addition:rounding-decomposition | 516+138 | round:520+138=658 ; adjust:658-4=654 ; sum=654 |
base_conversion | base_conversion:decomposition | n=251,base=16 | TERM:15*16^1=240 ; TERM:11*16^0=11 ; OUT:FB |
list_summation | list_summation:left-to-right | 9, 4, 3, 2 | 9+4=13 ; 13+3=16 ; 16+2=18 |
sorting_algorithms | sorting_algorithms:merge-sort | 8, 2, 7, 0, 4 | [2,8,7,0,4] ; [2,8,0,7,4] ; [0,2,7,8,4] ; [0,2,4,7,8] |
base_conversion | base_conversion:decomposition | n=142,base=4 | TERM:2*4^3=128 ; TERM:0*4^2=0 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:2032 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(4,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
multidigit_addition | multidigit_addition:left-to-right-partials | 949+962 | p100:900+900=1800 ; p10:40+60=100 ; p1:9+2=11 ; sum=1800+100+11=1911 |
multidigit_addition | multidigit_addition:left-to-right-partials | 430+332 | p100:400+300=700 ; p10:30+30=60 ; p1:0+2=2 ; sum=700+60+2=762 |
sorting_algorithms | sorting_algorithms:heap-sort | 5, 8, 6, 4, 0 | [8,5,6,4,0] ; [0,5,6,4,8] ; [6,5,0,4,8] ; [4,5,0,6,8] ; [5,4,0,6,8] ; [0,4,5,6,8] ; [4,0,5,6,8] ; [0,4,5,6,8] |
multidigit_addition | multidigit_addition:left-to-right-partials | 316+251 | p100:300+200=500 ; p10:10+50=60 ; p1:6+1=7 ; sum=500+60+7=567 |
base_conversion | base_conversion:decomposition | n=17,base=8 | TERM:2*8^1=16 ; TERM:1*8^0=1 ; OUT:21 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+6=24 | 2x+6=24 ; 2x=18 ; x=9 |
sorting_algorithms | sorting_algorithms:bubble-sort | 4, 6, 5, 1, 8 | [4,5,6,1,8] ; [4,5,1,6,8] ; [4,1,5,6,8] ; [1,4,5,6,8] |
base_conversion | base_conversion:via-binary | n=114,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:3 ; CHUNK:2:0 ; CHUNK:3:2 ; OUT:1302 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x+0=6 | 6x+0=6 ; 6x=6 ; x=1 |
list_summation | list_summation:right-to-left | 0, 7, 9, 5 | 9+5=14 ; 7+14=21 ; 0+21=21 |
base_conversion | base_conversion:via-binary | n=118,base=16 | BINLEN:7 ; CHUNK:0:7 ; CHUNK:1:6 ; OUT:76 |
linear_equation_solving | linear_equation_solving:inverse-ops | 5x+20=45 | 5x+20=45 ; x=(45-20)/5 ; x=25/5 ; x=5 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,2) ; G=(5,5) | D:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,0) ; G=(4,3) | D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) |
base_conversion | base_conversion:via-binary | n=171,base=4 | BINLEN:8 ; CHUNK:0:2 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:3 ; OUT:2223 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 9x+45=45 | 9x+45=45 ; 9x=0 ; x=0 |
linear_equation_solving | linear_equation_solving:inverse-ops | 4x-28=-20 | 4x-28=-20 ; x=(-20--28)/4 ; x=8/4 ; x=2 |
linear_equation_solving | linear_equation_solving:inverse-ops | 3x+0=18 | 3x+0=18 ; x=(18-0)/3 ; x=18/3 ; x=6 |
base_conversion | base_conversion:decomposition | n=96,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:0*2^4=0 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1100000 |
multidigit_addition | multidigit_addition:rounding-decomposition | 461+557 | round:470+557=1027 ; adjust:1027-9=1018 ; sum=1018 |
multidigit_addition | multidigit_addition:right-to-left-carry | 761+256 | d2:1+6+0=7→w7,c0 ; d1:6+5+0=11→w1,c1 ; d0:7+2+1=10→w0,c1 ; sum=1017 |
multidigit_addition | multidigit_addition:rounding-decomposition | 819+476 | round:820+476=1296 ; adjust:1296-1=1295 ; sum=1295 |
list_summation | list_summation:left-to-right | 9, 3, 8, 5 | 9+3=12 ; 12+8=20 ; 20+5=25 |
sorting_algorithms | sorting_algorithms:merge-sort | 6, 7, 0, 9, 1 | [0,6,7,9,1] ; [0,1,6,7,9] |
base_conversion | base_conversion:repeated-division | n=97,base=16 | DIV:97/16=6,r:1 ; DIV:6/16=0,r:6 ; OUT:61 |
linear_equation_solving | linear_equation_solving:inverse-ops | 9x+27=90 | 9x+27=90 ; x=(90-27)/9 ; x=63/9 ; x=7 |
base_conversion | base_conversion:via-binary | n=141,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:0 ; CHUNK:7:1 ; OUT:10001101 |
list_summation | list_summation:pairwise | 8, 6, 8, 8 | 8+6=14 ; 8+8=16 ; 14+16=30 |
base_conversion | base_conversion:via-binary | n=245,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:6 ; CHUNK:2:5 ; OUT:365 |
multidigit_addition | multidigit_addition:rounding-decomposition | 938+264 | round:940+264=1204 ; adjust:1204-2=1202 ; sum=1202 |
base_conversion | base_conversion:repeated-division | n=65,base=8 | DIV:65/8=8,r:1 ; DIV:8/8=1,r:0 ; DIV:1/8=0,r:1 ; OUT:101 |
list_summation | list_summation:right-to-left | 3, 0, 0, 9 | 0+9=9 ; 0+9=9 ; 3+9=12 |
linear_equation_solving | linear_equation_solving:divide-then-subtract | 8x-56=-128 | 8x-56=-128 ; x+-7=-16 ; x=-16--7 ; x=-9 |
list_summation | list_summation:left-to-right | 3, 6, 0, 1 | 3+6=9 ; 9+0=9 ; 9+1=10 |
sorting_algorithms | sorting_algorithms:insertion-sort | 7, 8, 1, 2, 5 | [7,8,1,2,5] ; [1,7,8,2,5] ; [1,2,7,8,5] ; [1,2,5,7,8] |
list_summation | list_summation:right-to-left | 5, 8, 0, 3 | 0+3=3 ; 8+3=11 ; 5+11=16 |
multidigit_addition | multidigit_addition:rounding-decomposition | 922+545 | round:930+545=1475 ; adjust:1475-8=1467 ; sum=1467 |
multidigit_addition | multidigit_addition:right-to-left-carry | 568+556 | d2:8+6+0=14→w4,c1 ; d1:6+5+1=12→w2,c1 ; d0:5+5+1=11→w1,c1 ; sum=1124 |
base_conversion | base_conversion:repeated-division | n=163,base=4 | DIV:163/4=40,r:3 ; DIV:40/4=10,r:0 ; DIV:10/4=2,r:2 ; DIV:2/4=0,r:2 ; OUT:2203 |
list_summation | list_summation:right-to-left | 0, 4, 9, 4 | 9+4=13 ; 4+13=17 ; 0+17=17 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(2,4) ; G=(4,5) | R:(2,5) ; D:(3,5) ; D:(4,5) |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 6, 4, 3, 9 | [0,4,6,3,9] ; [0,4,3,6,9] ; [0,3,4,6,9] |
base_conversion | base_conversion:decomposition | n=39,base=8 | TERM:4*8^1=32 ; TERM:7*8^0=7 ; OUT:47 |
list_summation | list_summation:pairwise | 2, 8, 5, 7 | 2+8=10 ; 5+7=12 ; 10+12=22 |
base_conversion | base_conversion:repeated-division | n=74,base=16 | DIV:74/16=4,r:10 ; DIV:4/16=0,r:4 ; OUT:4A |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,2) ; G=(3,5) | D:(1,2) ; D:(2,2) ; D:(3,2) ; R:(3,3) ; R:(3,4) ; R:(3,5) |
base_conversion | base_conversion:repeated-division | n=31,base=2 | DIV:31/2=15,r:1 ; DIV:15/2=7,r:1 ; DIV:7/2=3,r:1 ; DIV:3/2=1,r:1 ; DIV:1/2=0,r:1 ; OUT:11111 |
list_summation | list_summation:pairwise | 0, 6, 6, 2 | 0+6=6 ; 6+2=8 ; 6+8=14 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(4,4) | R:(1,4) ; D:(2,4) ; D:(3,4) ; D:(4,4) |
list_summation | list_summation:right-to-left | 0, 4, 6, 6 | 6+6=12 ; 4+12=16 ; 0+16=16 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(5,5) | R:(3,5) ; D:(4,5) ; D:(5,5) |
base_conversion | base_conversion:repeated-division | n=31,base=16 | DIV:31/16=1,r:15 ; DIV:1/16=0,r:1 ; OUT:1F |
sorting_algorithms | sorting_algorithms:insertion-sort | 1, 6, 4, 2, 7 | [1,6,4,2,7] ; [1,4,6,2,7] ; [1,2,4,6,7] ; [1,2,4,6,7] |
sorting_algorithms | sorting_algorithms:selection-sort | 7, 4, 6, 0, 5 | [0,4,6,7,5] ; [0,4,6,7,5] ; [0,4,5,7,6] ; [0,4,5,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 337+847 | p100:300+800=1100 ; p10:30+40=70 ; p1:7+7=14 ; sum=1100+70+14=1184 |
base_conversion | base_conversion:repeated-division | n=80,base=4 | DIV:80/4=20,r:0 ; DIV:20/4=5,r:0 ; DIV:5/4=1,r:1 ; DIV:1/4=0,r:1 ; OUT:1100 |
list_summation | list_summation:left-to-right | 1, 8, 3, 9 | 1+8=9 ; 9+3=12 ; 12+9=21 |
base_conversion | base_conversion:via-binary | n=204,base=16 | BINLEN:8 ; CHUNK:0:12 ; CHUNK:1:12 ; OUT:CC |
multidigit_addition | multidigit_addition:rounding-decomposition | 926+620 | round:930+620=1550 ; adjust:1550-4=1546 ; sum=1546 |
multidigit_addition | multidigit_addition:rounding-decomposition | 499+672 | round:500+672=1172 ; adjust:1172-1=1171 ; sum=1171 |
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