108:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Introducción al álgebra:@0.073089:0.043661:0.279636:0.043661:0.279636:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las operaciones entre expresiones algebraicas permiten simplificar y resolver problemas :@0.293660:0.235472:0.930599:0.235472:0.930599:0.219038:0.293660:0.219038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticos que involucran variables y números. Las principales operaciones son la :@0.293660:0.252114:0.931079:0.252114:0.931079:0.235680:0.293660:0.235680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adición, sustracción y otras operaciones que se verán en un nivel más adelante. :@0.293660:0.268756:0.870405:0.268756:0.870405:0.252322:0.293660:0.252322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.1 Suma y resta de expresiones algebraicas:@0.293660:0.299695:0.637460:0.299695:0.637460:0.282749:0.293660:0.282749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A la 1:00 p. m., había un total de cinco carros y doce motocicletas en una calle. Después :@0.293660:0.330635:0.931306:0.330635:0.931306:0.314202:0.293660:0.314202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de media hora, se han parqueado siete carros más y se han retirado seis motocicletas. :@0.293660:0.347277:0.930671:0.347277:0.930671:0.330843:0.293660:0.330843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuántos vehículos hay a la 1:30 p. m. de cada tipo?:@0.293660:0.363919:0.665836:0.363919:0.665836:0.347485:0.293660:0.347485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algebraicamente, podemos asignar una variable a cada uno de los vehículos de la :@0.293660:0.394859:0.931004:0.394859:0.931004:0.378425:0.293660:0.378425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente manera: carros     y motocicletas    , esto permitiría hacer un planteamiento :@0.293660:0.411501:0.930846:0.411501:0.930846:0.395067:0.293660:0.395067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.471364:0.410946:0.486697:0.410946:0.486697:0.397230:0.471364:0.397230:0.000000
c:@0.489973:0.411501:0.497631:0.411501:0.497631:0.395095:0.489973:0.395095:0.000000
5:@0.608130:0.410946:0.623463:0.410946:0.623463:0.397230:0.608130:0.397230:0.000000
m:@0.626739:0.411501:0.641355:0.411501:0.641355:0.395095:0.626739:0.395095:0.000000
de expresiones algebraicas y operarlas.:@0.293679:0.428143:0.574128:0.428143:0.574128:0.411709:0.293679:0.411709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5    7    12:@0.557933:0.459083:0.655105:0.459083:0.655105:0.442649:0.557933:0.442649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.566842:0.459083:0.574500:0.459083:0.574500:0.442677:0.566842:0.442677:0.000000
1:@0.578384:0.458528:0.593717:0.458528:0.593717:0.444812:0.578384:0.444812:0.000000
c:@0.606473:0.459083:0.614130:0.459083:0.614130:0.442677:0.606473:0.442677:0.000000
5:@0.618014:0.458528:0.633348:0.458528:0.633348:0.444812:0.618014:0.444812:0.000000
c:@0.655013:0.459083:0.662670:0.459083:0.662670:0.442677:0.655013:0.442677:0.000000
12    6    6:@0.547496:0.490023:0.658566:0.490023:0.658566:0.473589:0.547496:0.473589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.565296:0.490023:0.579911:0.490023:0.579911:0.473617:0.565296:0.473617:0.000000
2:@0.583795:0.489468:0.599129:0.489468:0.599129:0.475752:0.583795:0.475752:0.000000
m:@0.611885:0.490023:0.626500:0.490023:0.626500:0.473617:0.611885:0.473617:0.000000
5:@0.630384:0.489468:0.645717:0.489468:0.645717:0.475752:0.630384:0.475752:0.000000
m:@0.658473:0.490023:0.673089:0.490023:0.673089:0.473617:0.658473:0.473617:0.000000
En total, se puede determinar que a la 1:30 p. m. hay doce carros y seis motocicletas. Es :@0.293660:0.520963:0.931403:0.520963:0.931403:0.504529:0.293660:0.504529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
importante tener presente que no se pueden sumar carros y motocicletas, dado que :@0.293660:0.537604:0.931078:0.537604:0.931078:0.521171:0.293660:0.521171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponden a categorías diferentes.:@0.293660:0.554246:0.565846:0.554246:0.565846:0.537812:0.293660:0.537812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los términos semejantes pueden sumarse y restarse entre sí. Para hacerlo, solo se deben :@0.305399:0.584706:0.922902:0.584706:0.922902:0.568272:0.305399:0.568272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operar los coeficientes de los términos semejantes y mantener la parte literal igual.:@0.305399:0.601348:0.887041:0.601348:0.887041:0.584914:0.305399:0.584914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293655:0.640192:0.369438:0.640192:0.369438:0.623523:0.293655:0.623523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplifique la siguiente expresión::@0.293655:0.671132:0.540574:0.671132:0.540574:0.654699:0.293655:0.654699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5    7:@0.489582:0.702072:0.545003:0.702061:0.545003:0.685627:0.489582:0.685639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.498491:0.702072:0.507750:0.702072:0.507750:0.685666:0.498491:0.685666:0.000000
2:@0.507673:0.695997:0.512910:0.695997:0.512910:0.686416:0.507673:0.686416:0.000000
2:@0.516821:0.701506:0.532155:0.701506:0.532155:0.687791:0.516821:0.687791:0.000000
a:@0.544911:0.702061:0.554170:0.702061:0.554170:0.685655:0.544911:0.685655:0.000000
2 :@0.554099:0.695997:0.561643:0.695997:0.561643:0.686416:0.554099:0.686416:0.000000:0.000000
1:@0.561593:0.701506:0.576926:0.701506:0.576926:0.687791:0.561593:0.687791:0.000000
 15    8    10   12:@0.576834:0.702061:0.730995:0.702061:0.730995:0.685627:0.576834:0.685627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.598591:0.702061:0.607850:0.702061:0.607850:0.685655:0.598591:0.685655:0.000000
2:@0.611734:0.701506:0.627067:0.701506:0.627067:0.687791:0.611734:0.687791:0.000000
a:@0.639824:0.702061:0.649082:0.702061:0.649082:0.685655:0.639824:0.685655:0.000000
1:@0.652966:0.701506:0.668300:0.701506:0.668300:0.687791:0.652966:0.687791:0.000000
2:@0.693904:0.701506:0.709237:0.701506:0.709237:0.687791:0.693904:0.687791:0.000000
Para simplificar la expresión, debemos operar los términos que son semejantes entre sí :@0.293657:0.733001:0.930851:0.733001:0.930851:0.716567:0.293657:0.716567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la siguiente manera::@0.293657:0.749643:0.462186:0.749643:0.462186:0.733209:0.293657:0.733209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5    7     2:@0.544566:0.780583:0.661665:0.780576:0.661665:0.764143:0.544566:0.764149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.553475:0.780583:0.562734:0.780583:0.562734:0.764177:0.553475:0.764177:0.000000
2:@0.562667:0.774514:0.567904:0.774514:0.567904:0.764933:0.562667:0.764933:0.000000
2:@0.571814:0.780022:0.587147:0.780022:0.587147:0.766306:0.571814:0.766306:0.000000
a:@0.599903:0.780576:0.609162:0.780576:0.609162:0.764170:0.599903:0.764170:0.000000
2:@0.609094:0.774514:0.614330:0.774514:0.614330:0.764933:0.609094:0.764933:0.000000
5 2:@0.618242:0.780022:0.652774:0.780022:0.652774:0.766306:0.618242:0.766306:0.000000:0.000000:0.000000
a:@0.661591:0.780576:0.670850:0.780576:0.670850:0.764170:0.661591:0.764170:0.000000
2:@0.670763:0.774514:0.676000:0.774514:0.676000:0.764933:0.670763:0.764933:0.000000
15    8    7:@0.555517:0.811514:0.655873:0.811514:0.655873:0.795080:0.555517:0.795080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.573317:0.811514:0.582575:0.811514:0.582575:0.795108:0.573317:0.795108:0.000000
2:@0.586459:0.810959:0.601793:0.810959:0.601793:0.797243:0.586459:0.797243:0.000000
a:@0.614549:0.811514:0.623808:0.811514:0.623808:0.795108:0.614549:0.795108:0.000000
5:@0.627692:0.810959:0.643025:0.810959:0.643025:0.797243:0.627692:0.797243:0.000000
a:@0.655781:0.811514:0.665040:0.811514:0.665040:0.795108:0.655781:0.795108:0.000000
10   12    2:@0.557210:0.842454:0.663328:0.842454:0.663328:0.826020:0.557210:0.826020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.578968:0.841899:0.594301:0.841899:0.594301:0.828183:0.578968:0.828183:0.000000
5 2:@0.619905:0.841899:0.654437:0.841899:0.654437:0.828183:0.619905:0.828183:0.000000:0.000000:0.000000
La expresión simplificada será::@0.293637:0.873394:0.511718:0.873394:0.511718:0.856960:0.293637:0.856960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.554320:0.903779:0.569653:0.903779:0.569653:0.890063:0.554320:0.890063:0.000000
2    7    2:@0.569561:0.904334:0.666240:0.904325:0.666240:0.887891:0.569561:0.887900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.578471:0.904334:0.587729:0.904334:0.587729:0.887928:0.578471:0.887928:0.000000
2:@0.587678:0.898261:0.592914:0.898261:0.592914:0.888680:0.587678:0.888680:0.000000
1:@0.596826:0.903770:0.612159:0.903770:0.612159:0.890054:0.596826:0.890054:0.000000
a:@0.624915:0.904325:0.634174:0.904325:0.634174:0.887919:0.624915:0.887919:0.000000
2:@0.638058:0.903770:0.653391:0.903770:0.653391:0.890054:0.638058:0.890054:0.000000
Tema 2. Operaciones entre expresiones algebraicas:@0.073089:0.098522:0.831059:0.098522:0.831059:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si el número   es 4, ¿cuál es el valor de la expresión algebraica 5:@0.293660:0.180079:0.753392:0.180079:0.753392:0.163645:0.293660:0.163645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.388586:0.180079:0.396041:0.180079:0.396041:0.163672:0.388586:0.163672:0.000000
x:@0.752958:0.180079:0.760413:0.180079:0.760413:0.163672:0.752958:0.163672:0.000000
1:@0.760339:0.179524:0.775672:0.179524:0.775672:0.165808:0.760339:0.165808:0.000000
2? :@0.775580:0.180079:0.795534:0.180079:0.795534:0.163645:0.775580:0.163645:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 1) Reconoce el uso del signo igual como relación de equivalencia de expresiones algebraicas en los números reales.:@0.106142:0.961280:0.728571:0.961280:0.728571:0.949329:0.106142:0.949329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 2) Propone y ejecuta procedimientos para resolver una ecuación lineal y sistemas de ecuaciones lineales y argumenta la validez o no de un procedimiento:@0.106142:0.971366:0.918878:0.971366:0.918878:0.959414:0.106142:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 3) Usa el conjunto solución de una relación (de equivalencia y de orden) para argumentar la validez o no de un procedimiento.:@0.106142:0.981452:0.783454:0.981452:0.783454:0.969500:0.106142:0.969500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.083661:0.428889:0.164863:0.428889:0.164863:0.413483:0.083661:0.413483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciudadanía y :@0.083661:0.441497:0.178024:0.441497:0.178024:0.426090:0.083661:0.426090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
democracia:@0.083661:0.454104:0.167160:0.454104:0.167160:0.438698:0.083661:0.438698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las operaciones de :@0.083661:0.478562:0.211207:0.478562:0.211207:0.463623:0.083661:0.463623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adición y sustracción :@0.083661:0.492431:0.221734:0.492431:0.221734:0.477491:0.083661:0.477491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden usarse para :@0.083661:0.506299:0.214487:0.506299:0.214487:0.491359:0.083661:0.491359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcular el total de votos :@0.083661:0.520167:0.242884:0.520167:0.242884:0.505227:0.083661:0.505227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenidos por cada :@0.083661:0.534035:0.213545:0.534035:0.213545:0.519095:0.083661:0.519095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
candidato o partido, así :@0.083661:0.547903:0.237944:0.547903:0.237944:0.532964:0.083661:0.532964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como para determinar las :@0.083661:0.561772:0.252812:0.561772:0.252812:0.546832:0.083661:0.546832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencias en la votación :@0.083661:0.575640:0.250110:0.575640:0.250110:0.560700:0.083661:0.560700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre distintos candidatos.:@0.083661:0.589508:0.252966:0.589508:0.252966:0.574568:0.083661:0.574568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.083661:0.603376:0.146096:0.603376:0.146096:0.588222:0.083661:0.588222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si un candidato :@0.145828:0.603376:0.249956:0.603376:0.249956:0.588436:0.145828:0.588436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A obtiene 3:@0.083661:0.617244:0.158612:0.617244:0.158612:0.602305:0.083661:0.602305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.158311:0.617244:0.165088:0.617244:0.165088:0.602330:0.158311:0.602330:0.000000
1:@0.164854:0.616740:0.178794:0.616740:0.178794:0.604271:0.164854:0.604271:0.000000
2 votos :@0.178542:0.617244:0.229183:0.617244:0.229183:0.602305:0.178542:0.602305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una región y 4:@0.083661:0.631113:0.195834:0.631113:0.195834:0.616173:0.083661:0.616173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.195494:0.631113:0.202271:0.631113:0.202271:0.616198:0.195494:0.616198:0.000000
2:@0.202037:0.630608:0.215976:0.630608:0.215976:0.618139:0.202037:0.618139:0.000000
1 :@0.215725:0.631113:0.227556:0.631113:0.227556:0.616173:0.215725:0.616173:0.000000:0.000000
votos en otra, el total :@0.083645:0.644981:0.221913:0.644981:0.221913:0.630041:0.083645:0.630041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de votos para A sería: :@0.083645:0.658849:0.223386:0.658849:0.223386:0.643909:0.083645:0.643909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3:@0.083645:0.672717:0.096011:0.672717:0.096011:0.657777:0.083645:0.657777:0.000000:0.000000
x:@0.095760:0.672717:0.102537:0.672717:0.102537:0.657803:0.095760:0.657803:0.000000
1 1:@0.102303:0.672213:0.142046:0.672213:0.142046:0.659744:0.102303:0.659744:0.000000:0.000000:0.000000
2) (4:@0.115991:0.672717:0.154161:0.672717:0.154161:0.657777:0.115991:0.657777:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.153910:0.672717:0.160687:0.672717:0.160687:0.657803:0.153910:0.657803:0.000000
2 5 1:@0.160453:0.672213:0.228359:0.672213:0.228359:0.659744:0.160453:0.659744:0.000000:0.000000:0.000000:0.000000:0.000000
1) 7:@0.174141:0.672717:0.208111:0.672717:0.208111:0.657777:0.174141:0.657777:0.000000:0.000000:0.000000:0.000000
x:@0.207877:0.672717:0.214654:0.672717:0.214654:0.657803:0.207877:0.657803:0.000000
1:@0.228108:0.672717:0.236274:0.672717:0.236274:0.657777:0.228108:0.657777:0.000000
En una elección escolar, :@0.083611:0.787798:0.240133:0.787798:0.240133:0.772858:0.083611:0.772858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el candidato A recibió :@0.083611:0.801666:0.227561:0.801666:0.227561:0.786726:0.083611:0.786726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.083611:0.815534:0.091777:0.815534:0.091777:0.800595:0.083611:0.800595:0.000000
x:@0.091543:0.815534:0.098320:0.815534:0.098320:0.800620:0.091543:0.800620:0.000000
1:@0.098086:0.815030:0.112025:0.815030:0.112025:0.802561:0.098086:0.802561:0.000000
25 votos y el :@0.111774:0.815534:0.195534:0.815534:0.195534:0.800595:0.111774:0.800595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
candidato B recibió 3:@0.083611:0.829403:0.218590:0.829403:0.218590:0.814463:0.083611:0.814463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.218252:0.829403:0.225029:0.829403:0.225029:0.814488:0.218252:0.814488:0.000000
1:@0.224795:0.828898:0.238734:0.828898:0.238734:0.816429:0.224795:0.816429:0.000000
15 :@0.238483:0.829403:0.258246:0.829403:0.258246:0.814463:0.238483:0.814463:0.000000:0.000000:0.000000
votos. ¿Cómo usarías la :@0.083611:0.843271:0.235956:0.843271:0.235956:0.828331:0.083611:0.828331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma para encontrar el :@0.083611:0.857139:0.235873:0.857139:0.235873:0.842199:0.083611:0.842199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
total de votos? ¿Y cómo :@0.083611:0.871007:0.240975:0.871007:0.240975:0.856067:0.083611:0.856067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usarías la resta para :@0.083611:0.884875:0.211080:0.884875:0.211080:0.869935:0.083611:0.869935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encontrar cuántos votos :@0.083611:0.898744:0.244186:0.898744:0.244186:0.883804:0.083611:0.883804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más recibió el candidato A :@0.083611:0.912612:0.257833:0.912612:0.257833:0.897672:0.083611:0.897672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que el candidato B?:@0.083611:0.926480:0.210246:0.926480:0.210246:0.911540:0.083611:0.911540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000