task_name stringclasses 6
values | strategy_id stringclasses 20
values | input_text stringlengths 6 26 | reasoning_trace stringlengths 11 152 |
|---|---|---|---|
base_conversion | base_conversion:via-binary | n=227,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:1 ; CHUNK:3:0 ; CHUNK:4:0 ; CHUNK:5:0 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11100011 |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x-18=6 | 6x-18=6 ; x=(6--18)/6 ; x=24/6 ; x=4 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 9, 4, 5, 7 | [0,4,9,5,7] ; [0,4,5,9,7] ; [0,4,5,7,9] |
base_conversion | base_conversion:decomposition | n=94,base=4 | TERM:1*4^3=64 ; TERM:1*4^2=16 ; TERM:3*4^1=12 ; TERM:2*4^0=2 ; OUT:1132 |
multidigit_addition | multidigit_addition:right-to-left-carry | 632+720 | d2:2+0+0=2→w2,c0 ; d1:3+2+0=5→w5,c0 ; d0:6+7+0=13→w3,c1 ; sum=1352 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(2,2) ; G=(3,3) | R:(2,3) ; D:(3,3) |
base_conversion | base_conversion:repeated-division | n=77,base=2 | DIV:77/2=38,r:1 ; DIV:38/2=19,r:0 ; DIV:19/2=9,r:1 ; 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:1001101 |
list_summation | list_summation:left-to-right | 4, 6, 4, 4 | 4+6=10 ; 10+4=14 ; 14+4=18 |
sorting_algorithms | sorting_algorithms:selection-sort | 8, 3, 2, 9, 5 | [2,3,8,9,5] ; [2,3,8,9,5] ; [2,3,5,9,8] ; [2,3,5,8,9] |
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) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+36=78 | 6x+36=78 ; x=(78-36)/6 ; x=42/6 ; x=7 |
base_conversion | base_conversion:repeated-division | n=182,base=2 | DIV:182/2=91,r:0 ; DIV:91/2=45,r:1 ; DIV:45/2=22,r:1 ; DIV:22/2=11,r:0 ; DIV:11/2=5,r:1 ; DIV:5/2=2,r:1 ; DIV:2/2=1,r:0 ; DIV:1/2=0,r:1 ; OUT:10110110 |
base_conversion | base_conversion:repeated-division | n=226,base=4 | DIV:226/4=56,r:2 ; DIV:56/4=14,r:0 ; DIV:14/4=3,r:2 ; DIV:3/4=0,r:3 ; OUT:3202 |
base_conversion | base_conversion:repeated-division | n=98,base=2 | DIV:98/2=49,r:0 ; DIV:49/2=24,r:1 ; 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:1100010 |
base_conversion | base_conversion:repeated-division | n=23,base=16 | DIV:23/16=1,r:7 ; DIV:1/16=0,r:1 ; OUT:17 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,2) ; G=(4,5) | D:(4,2) ; R:(4,3) ; R:(4,4) ; R:(4,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(4,1) ; G=(5,2) | R:(4,2) ; D:(5,2) |
linear_equation_solving | linear_equation_solving:inverse-ops | 6x+6=48 | 6x+6=48 ; x=(48-6)/6 ; x=42/6 ; x=7 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-9=-15 | 3x-9=-15 ; 3x=-6 ; x=-2 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+6=-2 | 2x+6=-2 ; 2x=-8 ; x=-4 |
base_conversion | base_conversion:repeated-division | n=246,base=16 | DIV:246/16=15,r:6 ; DIV:15/16=0,r:15 ; OUT:F6 |
list_summation | list_summation:right-to-left | 0, 5, 9, 4 | 9+4=13 ; 5+13=18 ; 0+18=18 |
multidigit_addition | multidigit_addition:rounding-decomposition | 476+938 | round:480+938=1418 ; adjust:1418-4=1414 ; sum=1414 |
list_summation | list_summation:left-to-right | 2, 3, 5, 2 | 2+3=5 ; 5+5=10 ; 10+2=12 |
base_conversion | base_conversion:via-binary | n=233,base=4 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:2 ; CHUNK:2:2 ; CHUNK:3:1 ; OUT:3221 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,1) ; G=(5,3) | R:(3,2) ; D:(4,2) ; R:(4,3) ; D:(5,3) |
multidigit_addition | multidigit_addition:rounding-decomposition | 431+362 | round:440+362=802 ; adjust:802-9=793 ; sum=793 |
list_summation | list_summation:pairwise | 2, 9, 8, 2 | 2+9=11 ; 8+2=10 ; 11+10=21 |
multidigit_addition | multidigit_addition:rounding-decomposition | 384+734 | round:390+734=1124 ; adjust:1124-6=1118 ; sum=1118 |
base_conversion | base_conversion:decomposition | n=112,base=2 | TERM:1*2^6=64 ; TERM:1*2^5=32 ; TERM:1*2^4=16 ; TERM:0*2^3=0 ; TERM:0*2^2=0 ; TERM:0*2^1=0 ; TERM:0*2^0=0 ; OUT:1110000 |
sorting_algorithms | sorting_algorithms:insertion-sort | 3, 6, 8, 5, 2 | [3,6,8,5,2] ; [3,6,8,5,2] ; [3,5,6,8,2] ; [2,3,5,6,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(4,3) ; G=(5,5) | D:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(2,1) ; G=(5,5) | D:(3,1) ; D:(4,1) ; D:(5,1) ; R:(5,2) ; R:(5,3) ; R:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(1,3) ; G=(3,5) | R:(1,4) ; D:(2,4) ; R:(2,5) ; D:(3,5) |
base_conversion | base_conversion:repeated-division | n=158,base=16 | DIV:158/16=9,r:14 ; DIV:9/16=0,r:9 ; OUT:9E |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 586+788 | d2:6+8+0=14→w4,c1 ; d1:8+8+1=17→w7,c1 ; d0:5+7+1=13→w3,c1 ; sum=1374 |
base_conversion | base_conversion:decomposition | n=154,base=2 | TERM:1*2^7=128 ; TERM:0*2^6=0 ; TERM:0*2^5=0 ; 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:10011010 |
base_conversion | base_conversion:repeated-division | n=135,base=8 | DIV:135/8=16,r:7 ; DIV:16/8=2,r:0 ; DIV:2/8=0,r:2 ; OUT:207 |
multidigit_addition | multidigit_addition:right-to-left-carry | 273+242 | d2:3+2+0=5→w5,c0 ; d1:7+4+0=11→w1,c1 ; d0:2+2+1=5→w5,c0 ; sum=515 |
sorting_algorithms | sorting_algorithms:heap-sort | 2, 0, 1, 7, 3 | [2,7,1,0,3] ; [7,2,1,0,3] ; [7,3,1,0,2] ; [2,3,1,0,7] ; [3,2,1,0,7] ; [0,2,1,3,7] ; [2,0,1,3,7] ; [1,0,2,3,7] ; [0,1,2,3,7] |
multidigit_addition | multidigit_addition:right-to-left-carry | 884+947 | d2:4+7+0=11→w1,c1 ; d1:8+4+1=13→w3,c1 ; d0:8+9+1=18→w8,c1 ; sum=1831 |
list_summation | list_summation:pairwise | 6, 0, 1, 9 | 6+0=6 ; 1+9=10 ; 6+10=16 |
grid_pathfinding | grid_pathfinding:right-first | grid=6 ; S=(4,4) ; G=(5,5) | R:(4,5) ; D:(5,5) |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 7x-35=-63 | 7x-35=-63 ; 7x=-28 ; x=-4 |
multidigit_addition | multidigit_addition:left-to-right-partials | 319+842 | p100:300+800=1100 ; p10:10+40=50 ; p1:9+2=11 ; sum=1100+50+11=1161 |
list_summation | list_summation:right-to-left | 1, 4, 9, 8 | 9+8=17 ; 4+17=21 ; 1+21=22 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 3x-15=-9 | 3x-15=-9 ; 3x=6 ; x=2 |
sorting_algorithms | sorting_algorithms:merge-sort | 1, 7, 4, 9, 6 | [1,4,7,9,6] ; [1,4,6,7,9] |
sorting_algorithms | sorting_algorithms:heap-sort | 7, 0, 8, 6, 5 | [7,6,8,0,5] ; [8,6,7,0,5] ; [5,6,7,0,8] ; [7,6,5,0,8] ; [0,6,5,7,8] ; [6,0,5,7,8] ; [5,0,6,7,8] ; [0,5,6,7,8] |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(3,4) ; G=(5,5) | D:(4,4) ; D:(5,4) ; R:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(0,4) ; G=(5,5) | R:(0,5) ; D:(1,5) ; D:(2,5) ; D:(3,5) ; D:(4,5) ; D:(5,5) |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,2) ; G=(5,4) | R:(3,3) ; D:(4,3) ; R:(4,4) ; D:(5,4) |
base_conversion | base_conversion:via-binary | n=39,base=2 | BINLEN:6 ; CHUNK:0:1 ; CHUNK:1:0 ; CHUNK:2:0 ; CHUNK:3:1 ; CHUNK:4:1 ; CHUNK:5:1 ; OUT:100111 |
list_summation | list_summation:left-to-right | 6, 4, 3, 5 | 6+4=10 ; 10+3=13 ; 13+5=18 |
sorting_algorithms | sorting_algorithms:insertion-sort | 0, 3, 2, 9, 7 | [0,3,2,9,7] ; [0,2,3,9,7] ; [0,2,3,9,7] ; [0,2,3,7,9] |
multidigit_addition | multidigit_addition:rounding-decomposition | 108+839 | round:110+839=949 ; adjust:949-2=947 ; sum=947 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
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) |
base_conversion | base_conversion:via-binary | n=171,base=16 | BINLEN:8 ; CHUNK:0:10 ; CHUNK:1:11 ; OUT:AB |
list_summation | list_summation:pairwise | 2, 4, 9, 4 | 2+4=6 ; 9+4=13 ; 6+13=19 |
base_conversion | base_conversion:decomposition | n=58,base=2 | 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:111010 |
multidigit_addition | multidigit_addition:rounding-decomposition | 144+909 | round:150+909=1059 ; adjust:1059-6=1053 ; sum=1053 |
multidigit_addition | multidigit_addition:rounding-decomposition | 644+642 | round:650+642=1292 ; adjust:1292-6=1286 ; sum=1286 |
base_conversion | base_conversion:decomposition | n=10,base=2 | TERM:1*2^3=8 ; TERM:0*2^2=0 ; TERM:1*2^1=2 ; TERM:0*2^0=0 ; OUT:1010 |
sorting_algorithms | sorting_algorithms:merge-sort | 2, 4, 1, 9, 8 | [1,2,4,9,8] ; [1,2,4,8,9] |
sorting_algorithms | sorting_algorithms:bubble-sort | 2, 9, 4, 3, 8 | [2,4,9,3,8] ; [2,4,3,9,8] ; [2,4,3,8,9] ; [2,3,4,8,9] |
multidigit_addition | multidigit_addition:left-to-right-partials | 879+370 | p100:800+300=1100 ; p10:70+70=140 ; p1:9+0=9 ; sum=1100+140+9=1249 |
sorting_algorithms | sorting_algorithms:insertion-sort | 9, 2, 5, 3, 0 | [2,9,5,3,0] ; [2,5,9,3,0] ; [2,3,5,9,0] ; [0,2,3,5,9] |
list_summation | list_summation:right-to-left | 6, 0, 5, 2 | 5+2=7 ; 0+7=7 ; 6+7=13 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 6x-30=-24 | 6x-30=-24 ; 6x=6 ; x=1 |
base_conversion | base_conversion:via-binary | n=207,base=2 | BINLEN:8 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:0 ; CHUNK:4:1 ; CHUNK:5:1 ; CHUNK:6:1 ; CHUNK:7:1 ; OUT:11001111 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 2x+12=26 | 2x+12=26 ; 2x=14 ; x=7 |
base_conversion | base_conversion:decomposition | n=3,base=16 | TERM:3*16^0=3 ; OUT:3 |
multidigit_addition | multidigit_addition:rounding-decomposition | 704+800 | round:710+800=1510 ; adjust:1510-6=1504 ; sum=1504 |
multidigit_addition | multidigit_addition:left-to-right-partials | 528+568 | p100:500+500=1000 ; p10:20+60=80 ; p1:8+8=16 ; sum=1000+80+16=1096 |
list_summation | list_summation:left-to-right | 4, 5, 8, 7 | 4+5=9 ; 9+8=17 ; 17+7=24 |
base_conversion | base_conversion:via-binary | n=224,base=8 | BINLEN:8 ; CHUNK:0:3 ; CHUNK:1:4 ; CHUNK:2:0 ; OUT:340 |
list_summation | list_summation:right-to-left | 2, 5, 7, 7 | 7+7=14 ; 5+14=19 ; 2+19=21 |
list_summation | list_summation:right-to-left | 9, 1, 0, 2 | 0+2=2 ; 1+2=3 ; 9+3=12 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,4) ; G=(4,5) | R:(3,5) ; D:(4,5) |
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:inverse-ops | 9x+9=0 | 9x+9=0 ; x=(0-9)/9 ; x=-9/9 ; x=-1 |
linear_equation_solving | linear_equation_solving:subtract-then-divide | 4x-32=-48 | 4x-32=-48 ; 4x=-16 ; x=-4 |
grid_pathfinding | grid_pathfinding:alternating | grid=6 ; S=(3,3) ; G=(5,5) | R:(3,4) ; D:(4,4) ; R:(4,5) ; D:(5,5) |
multidigit_addition | multidigit_addition:right-to-left-carry | 410+710 | d2:0+0+0=0→w0,c0 ; d1:1+1+0=2→w2,c0 ; d0:4+7+0=11→w1,c1 ; sum=1120 |
base_conversion | base_conversion:decomposition | n=70,base=4 | TERM:1*4^3=64 ; TERM:0*4^2=0 ; TERM:1*4^1=4 ; TERM:2*4^0=2 ; OUT:1012 |
base_conversion | base_conversion:repeated-division | n=157,base=8 | DIV:157/8=19,r:5 ; DIV:19/8=2,r:3 ; DIV:2/8=0,r:2 ; OUT:235 |
sorting_algorithms | sorting_algorithms:selection-sort | 0, 5, 6, 7, 2 | [0,5,6,7,2] ; [0,2,6,7,5] ; [0,2,5,7,6] ; [0,2,5,6,7] |
multidigit_addition | multidigit_addition:rounding-decomposition | 370+609 | round:370+609=979 ; adjust:979-0=979 ; sum=979 |
sorting_algorithms | sorting_algorithms:bubble-sort | 0, 4, 7, 6, 1 | [0,4,6,7,1] ; [0,4,6,1,7] ; [0,4,1,6,7] ; [0,1,4,6,7] |
multidigit_addition | multidigit_addition:left-to-right-partials | 829+492 | p100:800+400=1200 ; p10:20+90=110 ; p1:9+2=11 ; sum=1200+110+11=1321 |
list_summation | list_summation:right-to-left | 2, 8, 0, 1 | 0+1=1 ; 8+1=9 ; 2+9=11 |
base_conversion | base_conversion:decomposition | n=174,base=16 | TERM:10*16^1=160 ; TERM:14*16^0=14 ; OUT:AE |
base_conversion | base_conversion:decomposition | n=128,base=8 | TERM:2*8^2=128 ; TERM:0*8^1=0 ; TERM:0*8^0=0 ; OUT:200 |
base_conversion | base_conversion:via-binary | n=83,base=4 | BINLEN:7 ; CHUNK:0:1 ; CHUNK:1:1 ; CHUNK:2:0 ; CHUNK:3:3 ; OUT:1103 |
multidigit_addition | multidigit_addition:rounding-decomposition | 890+888 | round:890+888=1778 ; adjust:1778-0=1778 ; sum=1778 |
multidigit_addition | multidigit_addition:right-to-left-carry | 359+656 | d2:9+6+0=15→w5,c1 ; d1:5+5+1=11→w1,c1 ; d0:3+6+1=10→w0,c1 ; sum=1015 |
grid_pathfinding | grid_pathfinding:down-first | grid=6 ; S=(0,0) ; G=(4,4) | D:(1,0) ; D:(2,0) ; D:(3,0) ; D:(4,0) ; R:(4,1) ; R:(4,2) ; R:(4,3) ; R:(4,4) |
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