[ 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 - x46/(k44*x2))/(k45*(1 + x2/k45 + x46/k46)))/k1),
  Eq(Derivative(x3, t), ((-1)*k66*x3*x6*(1 - x12*x8/(k67*x3*x6))/(k68*k69*(1 + x3/k68 + x12/k70)*(1 + x6/k69 + x8/k71 + x29/k72 + x9/k73)) + 1*(k157*x4 - k158*x3))/k2),
  Eq(Derivative(x4, t), ((-1)*k85*x4*x17*(1 - k184*x10/(k86*x4*x17))/(k87*k88*(1 + x4/k87 + k184/k89)*(1 + x17/k88 + x10/k90 + x27/k91 + x24/k92)) + 1*k104*(k183 - x4)/(k105 + k183 + x4 + k106*k183*x4/k105) + (-1)*(k157*x4 - k158*x3))/k1),
  Eq(Derivative(x5, t), ((-1)*(x42*k94*x5 - x41*k94*x7) + 1*k181*x41/(k182*(1 + x41/k182)))/k1),
  Eq(Derivative(x6, t), ((-1)*k17*k18*x12*x6*(1 - x36*x8/(k21*x12*x6))/(k19*k20*(x36 + k18)*(k22/k20 + x12/k19 + x6/k20 + x8/k23 + x36*x8/(k23*k24) + x12*x6/(k19*k20))) + (-1)*k47*x29*x6*(1 - x9*x8/(k48*x29*x6))/(k49*k50*(1 + x29/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x12/k54)) + (-1)*k66*x3*x6*(1 - x12*x8/(k67*x3*x6))/(k68*k69*(1 + x3/k68 + x12/k70)*(1 + x6/k69 + x8/k71 + x29/k72 + x9/k73)) + 1*k95*x8*x17*(1 - x10*x6/(k96*x8*x17))/(k97*k98*(1 + x8/k97 + x10/k97)*(1 + x17/k98 + x6/k98)) + 1*(k107*x8**2 - x47*x6*k108) + 1*k145*x26*x8*(1 - x48*x6/(k146*x26*x8))/(k147*k148*(1 + x26/k147 + x48/k149)*(1 + x8/k148 + x6/k150)) + 1*k160*x42*x8*(1 - k192*x6/(k161*x42*x8))/(k162*k163*(1 + x42/k162 + k192/k164)*(1 + x8/k163 + x6/k165)))/k2),
  Eq(Derivative(x7, t), ((-1)*k4*x7*(1 - x37/(k5*x7))/(k6*(1 + x7/k6 + x37/k7)) + 1*(x42*k94*x5 - x41*k94*x7) + (-1)*k151*x7*x50*(1 - x42*x35/(k152*x7*x50))/(k153*k154*(1 + x7/k153 + x42/k155)*(1 + x50/k154 + x35/k156)) + 1*k166*x36*(1 - x37*x7/(x36*k171))/(k167*(1 + x6/k168 + x8/k169 + x47/k170)*(1 + x37/k172 + x7/k173 + x36/(k167*(1 + x6/k168 + x8/k169 + x47/k170)) + x37*x7/(k172*k173) + x36*x37/(k167*k174*(1 + x6/k168 + x8/k169 + x47/k170)))))/k2),
  Eq(Derivative(x8, t), (1*k17*k18*x12*x6*(1 - x36*x8/(k21*x12*x6))/(k19*k20*(x36 + k18)*(k22/k20 + x12/k19 + x6/k20 + x8/k23 + x36*x8/(k23*k24) + x12*x6/(k19*k20))) + 1*k47*x29*x6*(1 - x9*x8/(k48*x29*x6))/(k49*k50*(1 + x29/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x12/k54)) + 1*k66*x3*x6*(1 - x12*x8/(k67*x3*x6))/(k68*k69*(1 + x3/k68 + x12/k70)*(1 + x6/k69 + x8/k71 + x29/k72 + x9/k73)) + (-1)*k95*x8*x17*(1 - x10*x6/(k96*x8*x17))/(k97*k98*(1 + x8/k97 + x10/k97)*(1 + x17/k98 + x6/k98)) + (-2)*(k107*x8**2 - x47*x6*k108) + (-1)*k145*x26*x8*(1 - x48*x6/(k146*x26*x8))/(k147*k148*(1 + x26/k147 + x48/k149)*(1 + x8/k148 + x6/k150)) + (-1)*k160*x42*x8*(1 - k192*x6/(k161*x42*x8))/(k162*k163*(1 + x42/k162 + k192/k164)*(1 + x8/k163 + x6/k165)))/k2),
  Eq(Derivative(x9, t), ((-1)*k25*x9*x18*(1 - x45*x31/(k26*x9*x18))/(k27*k28*(1 + x9/k27 + x45/k29)*(1 + x18/k28 + x31/k30)) + 1*k47*x29*x6*(1 - x9*x8/(k48*x29*x6))/(k49*k50*(1 + x29/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x12/k54)) + (-1)*k80*x9*(1 - x12/(k82*x9))/(k81*(1 + x9/k81 + x12/k83 + x19/k84)))/k2),
  Eq(Derivative(x10, t), ((-1)*k8*x10*(1 - x33*x17/(k14*x46*x10))*(x46/(k9*(1 + x10/k11 + x17/k10)))**k12/(k13*(1 + (x46/(k9*(1 + x10/k11 + x17/k10)))**k12 + x33/k15)*(1 + x10/k13 + x17/k16)) + 1*k57*x27*x17*(1 - x24*x10/(k58*x27*x17))/(k59*k60*(1 + x27/k59 + x24/k61)*(1 + x17/k60 + x10/k62 + x4/k63 + k184/k64)) + (-2)*(k78*x10**2 - x49*x17*k79) + 1*k85*x4*x17*(1 - k184*x10/(k86*x4*x17))/(k87*k88*(1 + x4/k87 + k184/k89)*(1 + x17/k88 + x10/k90 + x27/k91 + x24/k92)) + 1*k95*x8*x17*(1 - x10*x6/(k96*x8*x17))/(k97*k98*(1 + x8/k97 + x10/k97)*(1 + x17/k98 + x6/k98)) + 1*k159*x17/x10)/k1),
  Eq(Derivative(x11, t), ((-1)*k31*x11*(1 - x2/(k32*x11))/(k33*(1 + x11/k33 + x2/k34)) + 1*(k55*x48 - k55*x11))/k1),
  Eq(Derivative(x12, t), ((-1)*k17*k18*x12*x6*(1 - x36*x8/(k21*x12*x6))/(k19*k20*(x36 + k18)*(k22/k20 + x12/k19 + x6/k20 + x8/k23 + x36*x8/(k23*k24) + x12*x6/(k19*k20))) + 1*k66*x3*x6*(1 - x12*x8/(k67*x3*x6))/(k68*k69*(1 + x3/k68 + x12/k70)*(1 + x6/k69 + x8/k71 + x29/k72 + x9/k73)) + 1*k80*x9*(1 - x12/(k82*x9))/(k81*(1 + x9/k81 + x12/k83 + x19/k84)))/k2),
  Eq(Derivative(x13, t), 0),
  Eq(Derivative(x14, t), 0),
  Eq(Derivative(x15, t), 0),
  Eq(Derivative(x16, t), ((-1)*k37*x24*x16*(1 - x43*x32/(k38*x24*x16))/(k39*k40*(1 + x24/k39 + x43/k41)*(1 + x16/k40 + x32/k42)) + 1*k56*x32 + (-1)*k109*x22*x16*(1 - x21*x32/(k110*x22*x16))/(k111*k112*(1 + x22/k111 + x21/k113)*(1 + x16/k112 + x32/k114)) + 1*k139*x44*x32*(1 - x39*x16/(k140*x44*x32))/(k141*k142*(1 + x44/k141 + x39/k143)*(1 + x32/k142 + x16/k144)))/k1),
  Eq(Derivative(x17, t), (1*k8*x10*(1 - x33*x17/(k14*x46*x10))*(x46/(k9*(1 + x10/k11 + x17/k10)))**k12/(k13*(1 + (x46/(k9*(1 + x10/k11 + x17/k10)))**k12 + x33/k15)*(1 + x10/k13 + x17/k16)) + (-1)*k57*x27*x17*(1 - x24*x10/(k58*x27*x17))/(k59*k60*(1 + x27/k59 + x24/k61)*(1 + x17/k60 + x10/k62 + x4/k63 + k184/k64)) + 1*(k78*x10**2 - x49*x17*k79) + (-1)*k85*x4*x17*(1 - k184*x10/(k86*x4*x17))/(k87*k88*(1 + x4/k87 + k184/k89)*(1 + x17/k88 + x10/k90 + x27/k91 + x24/k92)) + (-1)*k95*x8*x17*(1 - x10*x6/(k96*x8*x17))/(k97*k98*(1 + x8/k97 + x10/k97)*(1 + x17/k98 + x6/k98)) + (-1)*k159*x17/x10)/k1),
  Eq(Derivative(x18, t), ((-1)*k25*x9*x18*(1 - x45*x31/(k26*x9*x18))/(k27*k28*(1 + x9/k27 + x45/k29)*(1 + x18/k28 + x31/k30)) + 1*k65*x31 + (-1)*k123*x19*x18*(1 - x23*x31/(k124*x19*x18))/(k125*k126*(1 + x19/k125 + x23/k127)*(1 + x18/k126 + x31/k128)))/k2),
  Eq(Derivative(x19, t), ((-1)*k123*x19*x18*(1 - x23*x31/(k124*x19*x18))/(k125*k126*(1 + x19/k125 + x23/k127)*(1 + x18/k126 + x31/k128)) + 1*(k2*k138*(x45 - x19/k135) + k134*x45*(1 - x19/(k135*x45))/(k136*(1 + x45/k136 + x19/k137))))/k2),
  Eq(Derivative(x20, t), 0),
  Eq(Derivative(x21, t), (1*k109*x22*x16*(1 - x21*x32/(k110*x22*x16))/(k111*k112*(1 + x22/k111 + x21/k113)*(1 + x16/k112 + x32/k114)) + (-1)*k115*x21*(1 - k188/(k116*x21))/(k117*(1 + x21/k117 + k188/k118)))/k1),
  Eq(Derivative(x22, t), (1*(k103*k1*(x43 - x22/k100) + k99*x43*(1 - x22/(k100*x43))/(k101*(1 + x43/k101 + x22/k102))) + (-1)*k109*x22*x16*(1 - x21*x32/(k110*x22*x16))/(k111*k112*(1 + x22/k111 + x21/k113)*(1 + x16/k112 + x32/k114)))/k1),
  Eq(Derivative(x23, t), ((-1)*k119*x23*(1 - k189/(k120*x23))/(k121*(1 + x23/k121 + k189/k122)) + 1*k123*x19*x18*(1 - x23*x31/(k124*x19*x18))/(k125*k126*(1 + x19/k125 + x23/k127)*(1 + x18/k126 + x31/k128)))/k2),
  Eq(Derivative(x24, t), ((-1)*k37*x24*x16*(1 - x43*x32/(k38*x24*x16))/(k39*k40*(1 + x24/k39 + x43/k41)*(1 + x16/k40 + x32/k42)) + 1*k57*x27*x17*(1 - x24*x10/(k58*x27*x17))/(k59*k60*(1 + x27/k59 + x24/k61)*(1 + x17/k60 + x10/k62 + x4/k63 + k184/k64)) + (-1)*k74*x24*(1 - x27/(k75*x24))/(k76*(1 + x24/k76 + x27/k77)))/k1),
  Eq(Derivative(x25, t), 0),
  Eq(Derivative(x26, t), ((-1)*k145*x26*x8*(1 - x48*x6/(k146*x26*x8))/(k147*k148*(1 + x26/k147 + x48/k149)*(1 + x8/k148 + x6/k150)) + 1*k175*x37*x35*(1 - x26*x50/(k176*x37*x35))/(k177*k178*(1 + x37/k177 + x26/k179)*(1 + x35/k178 + x50/k180)))/k2),
  Eq(Derivative(x27, t), ((-1)*k57*x27*x17*(1 - x24*x10/(k58*x27*x17))/(k59*k60*(1 + x27/k59 + x24/k61)*(1 + x17/k60 + x10/k62 + x4/k63 + k184/k64)) + 1*k74*x24*(1 - x27/(k75*x24))/(k76*(1 + x24/k76 + x27/k77)) + (-1)*(k129*x27 - k130*x29) + 1*k131*(k190 - x27)/(k132 + k190 + x27 + k133*k190*x27/k132))/k1),
  Eq(Derivative(x28, t), 0),
  Eq(Derivative(x29, t), ((-1)*k47*x29*x6*(1 - x9*x8/(k48*x29*x6))/(k49*k50*(1 + x29/k49 + x9/k51)*(1 + x6/k50 + x8/k52 + x3/k53 + x12/k54)) + 1*(k129*x27 - k130*x29))/k2),
  Eq(Derivative(x30, t), 0),
  Eq(Derivative(x31, t), (1*k25*x9*x18*(1 - x45*x31/(k26*x9*x18))/(k27*k28*(1 + x9/k27 + x45/k29)*(1 + x18/k28 + x31/k30)) + (-1)*k65*x31 + 1*k123*x19*x18*(1 - x23*x31/(k124*x19*x18))/(k125*k126*(1 + x19/k125 + x23/k127)*(1 + x18/k126 + x31/k128)))/k2),
  Eq(Derivative(x32, t), (1*k37*x24*x16*(1 - x43*x32/(k38*x24*x16))/(k39*k40*(1 + x24/k39 + x43/k41)*(1 + x16/k40 + x32/k42)) + (-1)*k56*x32 + 1*k109*x22*x16*(1 - x21*x32/(k110*x22*x16))/(k111*k112*(1 + x22/k111 + x21/k113)*(1 + x16/k112 + x32/k114)) + (-1)*k139*x44*x32*(1 - x39*x16/(k140*x44*x32))/(k141*k142*(1 + x44/k141 + x39/k143)*(1 + x32/k142 + x16/k144)))/k1),
  Eq(Derivative(x33, t), (1*k8*x10*(1 - x33*x17/(k14*x46*x10))*(x46/(k9*(1 + x10/k11 + x17/k10)))**k12/(k13*(1 + (x46/(k9*(1 + x10/k11 + x17/k10)))**k12 + x33/k15)*(1 + x10/k13 + x17/k16)) + (-1)*k35*x33/(k36*(1 + x33/k36)))/k1),
  Eq(Derivative(x34, t), 0),
  Eq(Derivative(x35, t), (1*k151*x7*x50*(1 - x42*x35/(k152*x7*x50))/(k153*k154*(1 + x7/k153 + x42/k155)*(1 + x50/k154 + x35/k156)) + (-1)*k175*x37*x35*(1 - x26*x50/(k176*x37*x35))/(k177*k178*(1 + x37/k177 + x26/k179)*(1 + x35/k178 + x50/k180)))/k2),
  Eq(Derivative(x36, t), (1*k17*k18*x12*x6*(1 - x36*x8/(k21*x12*x6))/(k19*k20*(x36 + k18)*(k22/k20 + x12/k19 + x6/k20 + x8/k23 + x36*x8/(k23*k24) + x12*x6/(k19*k20))) + (-1)*k166*x36*(1 - x37*x7/(x36*k171))/(k167*(1 + x6/k168 + x8/k169 + x47/k170)*(1 + x37/k172 + x7/k173 + x36/(k167*(1 + x6/k168 + x8/k169 + x47/k170)) + x37*x7/(k172*k173) + x36*x37/(k167*k174*(1 + x6/k168 + x8/k169 + x47/k170)))))/k2),
  Eq(Derivative(x37, t), (1*k4*x7*(1 - x37/(k5*x7))/(k6*(1 + x7/k6 + x37/k7)) + 1*k166*x36*(1 - x37*x7/(x36*k171))/(k167*(1 + x6/k168 + x8/k169 + x47/k170)*(1 + x37/k172 + x7/k173 + x36/(k167*(1 + x6/k168 + x8/k169 + x47/k170)) + x37*x7/(k172*k173) + x36*x37/(k167*k174*(1 + x6/k168 + x8/k169 + x47/k170)))) + (-1)*k175*x37*x35*(1 - x26*x50/(k176*x37*x35))/(k177*k178*(1 + x37/k177 + x26/k179)*(1 + x35/k178 + x50/k180)))/k2),
  Eq(Derivative(x38, t), 0),
  Eq(Derivative(x39, t), ((-1)*k93*x39 + 1*k139*x44*x32*(1 - x39*x16/(k140*x44*x32))/(k141*k142*(1 + x44/k141 + x39/k143)*(1 + x32/k142 + x16/k144)))/k1),
  Eq(Derivative(x40, t), 0),
  Eq(Derivative(x41, t), (1*(x42*k94*x5 - x41*k94*x7) + (-1)*k181*x41/(k182*(1 + x41/k182)))/k1),
  Eq(Derivative(x42, t), ((-1)*(x42*k94*x5 - x41*k94*x7) + 1*k151*x7*x50*(1 - x42*x35/(k152*x7*x50))/(k153*k154*(1 + x7/k153 + x42/k155)*(1 + x50/k154 + x35/k156)) + (-1)*k160*x42*x8*(1 - k192*x6/(k161*x42*x8))/(k162*k163*(1 + x42/k162 + k192/k164)*(1 + x8/k163 + x6/k165)))/k2),
  Eq(Derivative(x43, t), (1*k37*x24*x16*(1 - x43*x32/(k38*x24*x16))/(k39*k40*(1 + x24/k39 + x43/k41)*(1 + x16/k40 + x32/k42)) + (-1)*(k103*k1*(x43 - x22/k100) + k99*x43*(1 - x22/(k100*x43))/(k101*(1 + x43/k101 + x22/k102))))/k1),
  Eq(Derivative(x44, t), (1*k93*x39 + (-1)*k139*x44*x32*(1 - x39*x16/(k140*x44*x32))/(k141*k142*(1 + x44/k141 + x39/k143)*(1 + x32/k142 + x16/k144)))/k1),
  Eq(Derivative(x45, t), (1*k25*x9*x18*(1 - x45*x31/(k26*x9*x18))/(k27*k28*(1 + x9/k27 + x45/k29)*(1 + x18/k28 + x31/k30)) + (-1)*(k2*k138*(x45 - x19/k135) + k134*x45*(1 - x19/(k135*x45))/(k136*(1 + x45/k136 + x19/k137))))/k2),
  Eq(Derivative(x46, t), ((-1)*k8*x10*(1 - x33*x17/(k14*x46*x10))*(x46/(k9*(1 + x10/k11 + x17/k10)))**k12/(k13*(1 + (x46/(k9*(1 + x10/k11 + x17/k10)))**k12 + x33/k15)*(1 + x10/k13 + x17/k16)) + 1*k43*x2*(1 - x46/(k44*x2))/(k45*(1 + x2/k45 + x46/k46)))/k1),
  Eq(Derivative(x47, t), 1*(k107*x8**2 - x47*x6*k108)/k2),
  Eq(Derivative(x48, t), ((-1)*(k55*x48 - k55*x11) + 1*k145*x26*x8*(1 - x48*x6/(k146*x26*x8))/(k147*k148*(1 + x26/k147 + x48/k149)*(1 + x8/k148 + x6/k150)))/k2),
  Eq(Derivative(x49, t), 1*(k78*x10**2 - x49*x17*k79)/k1),
  Eq(Derivative(x50, t), ((-1)*k151*x7*x50*(1 - x42*x35/(k152*x7*x50))/(k153*k154*(1 + x7/k153 + x42/k155)*(1 + x50/k154 + x35/k156)) + 1*k175*x37*x35*(1 - x26*x50/(k176*x37*x35))/(k177*k178*(1 + x37/k177 + x26/k179)*(1 + x35/k178 + x50/k180)))/k2) ]