[ Eq(Derivative(x1, t), 0),
  Eq(Derivative(x2, t), (1*k31*x11*(1 - x2/(k32*x11))/(k33*(1 + x11/k33 + x2/k34)) + (-1)*k43*x2*(1 - x47/(k44*x2))/(k45*(1 + x2/k45 + x47/k46)))/k1),
  Eq(Derivative(x3, t), ((-1)*k72*x3*x6*(1 - x13*x8/(k73*x3*x6))/(k74*k75*(1 + x3/k74 + x13/k76)*(1 + x6/k75 + x8/k77 + x30/k78 + x9/k79)) + 1*(k101*x4 - k102*x3))/k2),
  Eq(Derivative(x4, t), ((-1)*k91*x4*x18*(1 - k186*x10/(k92*x4*x18))/(k93*k94*(1 + x4/k93 + k186/k95)*(1 + x18/k94 + x10/k96 + x28/k97 + x25/k98)) + (-1)*(k101*x4 - k102*x3) + 1*k108*(k185 - x4)/(k109 + k185 + x4 + k110*k185*x4/k109))/k1),
  Eq(Derivative(x5, t), ((-1)*(x43*k100*x5 - x42*k100*x7) + 1*k183*x42/(k184*(1 + x42/k184)))/k1),
  Eq(Derivative(x6, t), ((-1)*k17*k18*x13*x6*(1 - x37*x8/(k21*x13*x6))/(k19*k20*(x37 + k18)*(k22/k20 + x13/k19 + x6/k20 + x8/k23 + x37*x8/(k23*k24) + x13*x6/(k19*k20))) + (-1)*k47*x30*x6*(1 - x9*x8/(k48*x30*x6))/(k49*k50*(1 + x30/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x13/k54)) + 1*k55*x29*x8*(1 - k192*x6/(k56*x29*x8))/(k57*k58*(1 + x29/k57 + k192/k59)*(1 + x8/k58 + x6/k60)) + (-1)*k72*x3*x6*(1 - x13*x8/(k73*x3*x6))/(k74*k75*(1 + x3/k74 + x13/k76)*(1 + x6/k75 + x8/k77 + x30/k78 + x9/k79)) + 1*(k111*x8**2 - x48*x6*k112) + 1*k149*x27*x8*(1 - x49*x6/(k150*x27*x8))/(k151*k152*(1 + x27/k151 + x49/k153)*(1 + x8/k152 + x6/k154)) + 1*k162*x43*x8*(1 - k194*x6/(k163*x43*x8))/(k164*k165*(1 + x43/k164 + k194/k166)*(1 + x8/k165 + x6/k167)))/k2),
  Eq(Derivative(x7, t), ((-1)*k4*x7*(1 - x38/(k5*x7))/(k6*(1 + x7/k6 + x38/k7)) + 1*(x43*k100*x5 - x42*k100*x7) + (-1)*k155*x7*x51*(1 - x43*x36/(k156*x7*x51))/(k157*k158*(1 + x7/k157 + x43/k159)*(1 + x51/k158 + x36/k160)) + 1*k168*x37*(1 - x38*x7/(x37*k173))/(k169*(1 + x6/k170 + x8/k171 + x48/k172)*(1 + x38/k174 + x7/k175 + x37/(k169*(1 + x6/k170 + x8/k171 + x48/k172)) + x38*x7/(k174*k175) + x37*x38/(k169*k176*(1 + x6/k170 + x8/k171 + x48/k172)))))/k2),
  Eq(Derivative(x8, t), (1*k17*k18*x13*x6*(1 - x37*x8/(k21*x13*x6))/(k19*k20*(x37 + k18)*(k22/k20 + x13/k19 + x6/k20 + x8/k23 + x37*x8/(k23*k24) + x13*x6/(k19*k20))) + 1*k47*x30*x6*(1 - x9*x8/(k48*x30*x6))/(k49*k50*(1 + x30/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x13/k54)) + (-1)*k55*x29*x8*(1 - k192*x6/(k56*x29*x8))/(k57*k58*(1 + x29/k57 + k192/k59)*(1 + x8/k58 + x6/k60)) + 1*k72*x3*x6*(1 - x13*x8/(k73*x3*x6))/(k74*k75*(1 + x3/k74 + x13/k76)*(1 + x6/k75 + x8/k77 + x30/k78 + x9/k79)) + (-2)*(k111*x8**2 - x48*x6*k112) + (-1)*k149*x27*x8*(1 - x49*x6/(k150*x27*x8))/(k151*k152*(1 + x27/k151 + x49/k153)*(1 + x8/k152 + x6/k154)) + (-1)*k162*x43*x8*(1 - k194*x6/(k163*x43*x8))/(k164*k165*(1 + x43/k164 + k194/k166)*(1 + x8/k165 + x6/k167)))/k2),
  Eq(Derivative(x9, t), ((-1)*k25*x9*x19*(1 - x46*x32/(k26*x9*x19))/(k27*k28*(1 + x9/k27 + x46/k29)*(1 + x19/k28 + x32/k30)) + 1*k47*x30*x6*(1 - x9*x8/(k48*x30*x6))/(k49*k50*(1 + x30/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x13/k54)) + (-1)*k86*x9*(1 - x13/(k88*x9))/(k87*(1 + x9/k87 + x13/k89 + x20/k90)))/k2),
  Eq(Derivative(x10, t), ((-1)*k8*x10*(1 - x34*x18/(k14*x47*x10))*(x47/(k9*(1 + x10/k11 + x18/k10)))**k12/(k13*(1 + (x47/(k9*(1 + x10/k11 + x18/k10)))**k12 + x34/k15)*(1 + x10/k13 + x18/k16)) + 1*k63*x28*x18*(1 - x25*x10/(k64*x28*x18))/(k65*k66*(1 + x28/k65 + x25/k67)*(1 + x18/k66 + x10/k68 + x4/k69 + k186/k70)) + (-2)*(k84*x10**2 - x50*x18*k85) + 1*k91*x4*x18*(1 - k186*x10/(k92*x4*x18))/(k93*k94*(1 + x4/k93 + k186/k95)*(1 + x18/k94 + x10/k96 + x28/k97 + x25/k98)) + 1*k161*x18/x10)/k1),
  Eq(Derivative(x11, t), ((-1)*k31*x11*(1 - x2/(k32*x11))/(k33*(1 + x11/k33 + x2/k34)) + 1*(k61*x49 - k61*x11))/k1),
  Eq(Derivative(x12, t), (1*k37*x25*x17*(1 - x44*x12/(k38*x25*x17))/(k39*k40*(1 + x25/k39 + x44/k41)*(1 + x17/k40 + x12/k42)) + (-1)*k62*x12 + 1*k113*x23*x17*(1 - x22*x12/(k114*x23*x17))/(k115*k116*(1 + x23/k115 + x22/k117)*(1 + x17/k116 + x12/k118)) + (-1)*k143*x45*x12*(1 - x40*x17/(k144*x45*x12))/(k145*k146*(1 + x45/k145 + x40/k147)*(1 + x12/k146 + x17/k148)))/k1),
  Eq(Derivative(x13, t), ((-1)*k17*k18*x13*x6*(1 - x37*x8/(k21*x13*x6))/(k19*k20*(x37 + k18)*(k22/k20 + x13/k19 + x6/k20 + x8/k23 + x37*x8/(k23*k24) + x13*x6/(k19*k20))) + 1*k72*x3*x6*(1 - x13*x8/(k73*x3*x6))/(k74*k75*(1 + x3/k74 + x13/k76)*(1 + x6/k75 + x8/k77 + x30/k78 + x9/k79)) + 1*k86*x9*(1 - x13/(k88*x9))/(k87*(1 + x9/k87 + x13/k89 + x20/k90)))/k2),
  Eq(Derivative(x14, t), 0),
  Eq(Derivative(x15, t), 0),
  Eq(Derivative(x16, t), 0),
  Eq(Derivative(x17, t), ((-1)*k37*x25*x17*(1 - x44*x12/(k38*x25*x17))/(k39*k40*(1 + x25/k39 + x44/k41)*(1 + x17/k40 + x12/k42)) + 1*k62*x12 + (-1)*k113*x23*x17*(1 - x22*x12/(k114*x23*x17))/(k115*k116*(1 + x23/k115 + x22/k117)*(1 + x17/k116 + x12/k118)) + 1*k143*x45*x12*(1 - x40*x17/(k144*x45*x12))/(k145*k146*(1 + x45/k145 + x40/k147)*(1 + x12/k146 + x17/k148)))/k1),
  Eq(Derivative(x18, t), (1*k8*x10*(1 - x34*x18/(k14*x47*x10))*(x47/(k9*(1 + x10/k11 + x18/k10)))**k12/(k13*(1 + (x47/(k9*(1 + x10/k11 + x18/k10)))**k12 + x34/k15)*(1 + x10/k13 + x18/k16)) + (-1)*k63*x28*x18*(1 - x25*x10/(k64*x28*x18))/(k65*k66*(1 + x28/k65 + x25/k67)*(1 + x18/k66 + x10/k68 + x4/k69 + k186/k70)) + 1*(k84*x10**2 - x50*x18*k85) + (-1)*k91*x4*x18*(1 - k186*x10/(k92*x4*x18))/(k93*k94*(1 + x4/k93 + k186/k95)*(1 + x18/k94 + x10/k96 + x28/k97 + x25/k98)) + (-1)*k161*x18/x10)/k1),
  Eq(Derivative(x19, t), ((-1)*k25*x9*x19*(1 - x46*x32/(k26*x9*x19))/(k27*k28*(1 + x9/k27 + x46/k29)*(1 + x19/k28 + x32/k30)) + 1*k71*x32 + (-1)*k127*x20*x19*(1 - x24*x32/(k128*x20*x19))/(k129*k130*(1 + x20/k129 + x24/k131)*(1 + x19/k130 + x32/k132)))/k2),
  Eq(Derivative(x20, t), ((-1)*k127*x20*x19*(1 - x24*x32/(k128*x20*x19))/(k129*k130*(1 + x20/k129 + x24/k131)*(1 + x19/k130 + x32/k132)) + 1*(k2*k142*(x46 - x20/k139) + k138*x46*(1 - x20/(k139*x46))/(k140*(1 + x46/k140 + x20/k141))))/k2),
  Eq(Derivative(x21, t), 0),
  Eq(Derivative(x22, t), (1*k113*x23*x17*(1 - x22*x12/(k114*x23*x17))/(k115*k116*(1 + x23/k115 + x22/k117)*(1 + x17/k116 + x12/k118)) + (-1)*k119*x22*(1 - k190/(k120*x22))/(k121*(1 + x22/k121 + k190/k122)))/k1),
  Eq(Derivative(x23, t), (1*(k107*k1*(x44 - x23/k104) + k103*x44*(1 - x23/(k104*x44))/(k105*(1 + x44/k105 + x23/k106))) + (-1)*k113*x23*x17*(1 - x22*x12/(k114*x23*x17))/(k115*k116*(1 + x23/k115 + x22/k117)*(1 + x17/k116 + x12/k118)))/k1),
  Eq(Derivative(x24, t), ((-1)*k123*x24*(1 - x29/(k124*x24))/(k125*(1 + x24/k125 + x29/k126)) + 1*k127*x20*x19*(1 - x24*x32/(k128*x20*x19))/(k129*k130*(1 + x20/k129 + x24/k131)*(1 + x19/k130 + x32/k132)))/k2),
  Eq(Derivative(x25, t), ((-1)*k37*x25*x17*(1 - x44*x12/(k38*x25*x17))/(k39*k40*(1 + x25/k39 + x44/k41)*(1 + x17/k40 + x12/k42)) + 1*k63*x28*x18*(1 - x25*x10/(k64*x28*x18))/(k65*k66*(1 + x28/k65 + x25/k67)*(1 + x18/k66 + x10/k68 + x4/k69 + k186/k70)) + (-1)*k80*x25*(1 - x28/(k81*x25))/(k82*(1 + x25/k82 + x28/k83)))/k1),
  Eq(Derivative(x26, t), 0),
  Eq(Derivative(x27, t), ((-1)*k149*x27*x8*(1 - x49*x6/(k150*x27*x8))/(k151*k152*(1 + x27/k151 + x49/k153)*(1 + x8/k152 + x6/k154)) + 1*k177*x38*x36*(1 - x27*x51/(k178*x38*x36))/(k179*k180*(1 + x38/k179 + x27/k181)*(1 + x36/k180 + x51/k182)))/k2),
  Eq(Derivative(x28, t), ((-1)*k63*x28*x18*(1 - x25*x10/(k64*x28*x18))/(k65*k66*(1 + x28/k65 + x25/k67)*(1 + x18/k66 + x10/k68 + x4/k69 + k186/k70)) + 1*k80*x25*(1 - x28/(k81*x25))/(k82*(1 + x25/k82 + x28/k83)) + (-1)*(k133*x28 - k134*x30) + 1*k135*(k191 - x28)/(k136 + k191 + x28 + k137*k191*x28/k136))/k1),
  Eq(Derivative(x29, t), ((-1)*k55*x29*x8*(1 - k192*x6/(k56*x29*x8))/(k57*k58*(1 + x29/k57 + k192/k59)*(1 + x8/k58 + x6/k60)) + 1*k123*x24*(1 - x29/(k124*x24))/(k125*(1 + x24/k125 + x29/k126)))/k2),
  Eq(Derivative(x30, t), ((-1)*k47*x30*x6*(1 - x9*x8/(k48*x30*x6))/(k49*k50*(1 + x30/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x13/k54)) + 1*(k133*x28 - k134*x30))/k2),
  Eq(Derivative(x31, t), 0),
  Eq(Derivative(x32, t), (1*k25*x9*x19*(1 - x46*x32/(k26*x9*x19))/(k27*k28*(1 + x9/k27 + x46/k29)*(1 + x19/k28 + x32/k30)) + (-1)*k71*x32 + 1*k127*x20*x19*(1 - x24*x32/(k128*x20*x19))/(k129*k130*(1 + x20/k129 + x24/k131)*(1 + x19/k130 + x32/k132)))/k2),
  Eq(Derivative(x33, t), 0),
  Eq(Derivative(x34, t), (1*k8*x10*(1 - x34*x18/(k14*x47*x10))*(x47/(k9*(1 + x10/k11 + x18/k10)))**k12/(k13*(1 + (x47/(k9*(1 + x10/k11 + x18/k10)))**k12 + x34/k15)*(1 + x10/k13 + x18/k16)) + (-1)*k35*x34/(k36*(1 + x34/k36)))/k1),
  Eq(Derivative(x35, t), 0),
  Eq(Derivative(x36, t), (1*k155*x7*x51*(1 - x43*x36/(k156*x7*x51))/(k157*k158*(1 + x7/k157 + x43/k159)*(1 + x51/k158 + x36/k160)) + (-1)*k177*x38*x36*(1 - x27*x51/(k178*x38*x36))/(k179*k180*(1 + x38/k179 + x27/k181)*(1 + x36/k180 + x51/k182)))/k2),
  Eq(Derivative(x37, t), (1*k17*k18*x13*x6*(1 - x37*x8/(k21*x13*x6))/(k19*k20*(x37 + k18)*(k22/k20 + x13/k19 + x6/k20 + x8/k23 + x37*x8/(k23*k24) + x13*x6/(k19*k20))) + (-1)*k168*x37*(1 - x38*x7/(x37*k173))/(k169*(1 + x6/k170 + x8/k171 + x48/k172)*(1 + x38/k174 + x7/k175 + x37/(k169*(1 + x6/k170 + x8/k171 + x48/k172)) + x38*x7/(k174*k175) + x37*x38/(k169*k176*(1 + x6/k170 + x8/k171 + x48/k172)))))/k2),
  Eq(Derivative(x38, t), (1*k4*x7*(1 - x38/(k5*x7))/(k6*(1 + x7/k6 + x38/k7)) + 1*k168*x37*(1 - x38*x7/(x37*k173))/(k169*(1 + x6/k170 + x8/k171 + x48/k172)*(1 + x38/k174 + x7/k175 + x37/(k169*(1 + x6/k170 + x8/k171 + x48/k172)) + x38*x7/(k174*k175) + x37*x38/(k169*k176*(1 + x6/k170 + x8/k171 + x48/k172)))) + (-1)*k177*x38*x36*(1 - x27*x51/(k178*x38*x36))/(k179*k180*(1 + x38/k179 + x27/k181)*(1 + x36/k180 + x51/k182)))/k2),
  Eq(Derivative(x39, t), 0),
  Eq(Derivative(x40, t), ((-1)*k99*x40 + 1*k143*x45*x12*(1 - x40*x17/(k144*x45*x12))/(k145*k146*(1 + x45/k145 + x40/k147)*(1 + x12/k146 + x17/k148)))/k1),
  Eq(Derivative(x41, t), 0),
  Eq(Derivative(x42, t), (1*(x43*k100*x5 - x42*k100*x7) + (-1)*k183*x42/(k184*(1 + x42/k184)))/k1),
  Eq(Derivative(x43, t), ((-1)*(x43*k100*x5 - x42*k100*x7) + 1*k155*x7*x51*(1 - x43*x36/(k156*x7*x51))/(k157*k158*(1 + x7/k157 + x43/k159)*(1 + x51/k158 + x36/k160)) + (-1)*k162*x43*x8*(1 - k194*x6/(k163*x43*x8))/(k164*k165*(1 + x43/k164 + k194/k166)*(1 + x8/k165 + x6/k167)))/k2),
  Eq(Derivative(x44, t), (1*k37*x25*x17*(1 - x44*x12/(k38*x25*x17))/(k39*k40*(1 + x25/k39 + x44/k41)*(1 + x17/k40 + x12/k42)) + (-1)*(k107*k1*(x44 - x23/k104) + k103*x44*(1 - x23/(k104*x44))/(k105*(1 + x44/k105 + x23/k106))))/k1),
  Eq(Derivative(x45, t), (1*k99*x40 + (-1)*k143*x45*x12*(1 - x40*x17/(k144*x45*x12))/(k145*k146*(1 + x45/k145 + x40/k147)*(1 + x12/k146 + x17/k148)))/k1),
  Eq(Derivative(x46, t), (1*k25*x9*x19*(1 - x46*x32/(k26*x9*x19))/(k27*k28*(1 + x9/k27 + x46/k29)*(1 + x19/k28 + x32/k30)) + (-1)*(k2*k142*(x46 - x20/k139) + k138*x46*(1 - x20/(k139*x46))/(k140*(1 + x46/k140 + x20/k141))))/k2),
  Eq(Derivative(x47, t), ((-1)*k8*x10*(1 - x34*x18/(k14*x47*x10))*(x47/(k9*(1 + x10/k11 + x18/k10)))**k12/(k13*(1 + (x47/(k9*(1 + x10/k11 + x18/k10)))**k12 + x34/k15)*(1 + x10/k13 + x18/k16)) + 1*k43*x2*(1 - x47/(k44*x2))/(k45*(1 + x2/k45 + x47/k46)))/k1),
  Eq(Derivative(x48, t), 1*(k111*x8**2 - x48*x6*k112)/k2),
  Eq(Derivative(x49, t), ((-1)*(k61*x49 - k61*x11) + 1*k149*x27*x8*(1 - x49*x6/(k150*x27*x8))/(k151*k152*(1 + x27/k151 + x49/k153)*(1 + x8/k152 + x6/k154)))/k2),
  Eq(Derivative(x50, t), 1*(k84*x10**2 - x50*x18*k85)/k1),
  Eq(Derivative(x51, t), ((-1)*k155*x7*x51*(1 - x43*x36/(k156*x7*x51))/(k157*k158*(1 + x7/k157 + x43/k159)*(1 + x51/k158 + x36/k160)) + 1*k177*x38*x36*(1 - x27*x51/(k178*x38*x36))/(k179*k180*(1 + x38/k179 + x27/k181)*(1 + x36/k180 + x51/k182)))/k2) ]