*2
Factor 360*a**2 + 107515*a + 70030.
5*(a + 298)*(72*a + 47)
Suppose -22*l**3/21 + 27816*l**2/7 - 673886*l/21 + 196820/7 = 0. Calculate l.
1, 78/11, 3785
Factor d**5/5 + 62574*d**4/5 + 979376769*d**3/5 + 15654013456*d**2/5.
d**2*(d + 16)*(d + 31279)**2/5
Factor -f**3 - 2606714*f**2 - 7820129*f + 10426844.
-(f - 1)*(f + 4)*(f + 2606711)
Suppose -2*l**3/17 + 3730*l**2/17 + 10168906*l/17 + 4727723574/17 = 0. Calculate l.
-821, 3507
Determine a so that 48*a**5 + 1043660*a**4 + 5672487756*a**3 - 6146159040*a**2 + 1418404608*a = 0.
-10872, 0, 1/3, 3/4
Let 5*v**5 - 375*v**4 - 66520*v**3 + 141480*v**2 + 1351760*v + 1611600 = 0. What is v?
-85, -2, 6, 158
Factor -26894596*y**3 + 118148001716*y**2 - 182256800*y + 70288.
-4*(y - 4393)*(2593*y - 2)**2
Find p, given that -4*p**5/5 - 39126*p**4/5 - 58678*p**3/5 + 19566*p**2/5 + 58682*p/5 + 3912 = 0.
-9780, -1, -1/2, 1
Factor -1444*n**3 + 1212200*n**2 - 244427652*n - 4227080256.
-4*(n + 16)*(19*n - 8127)**2
Find d, given that 4*d**3 + 7028*d**2 - 1146664*d - 4698848 = 0.
-1907, -4, 154
Factor h**4 - 634614*h**3 + 100683732249*h**2.
h**2*(h - 317307)**2
Determine x, given that x**4/4 + 32319*x**3/4 - 461148*x**2 + 6798764*x - 6345696 = 0.
-32376, 1, 28
Let 3*z**4 + 1790031*z**3 - 7160259*z**2 - 51911319*z - 42961032 = 0. Calculate z.
-596681, -3, -1, 8
Let 5*x**5 - 364270*x**4 + 6397284505*x**3 + 8721367952800*x**2 + 17423542594980*x + 8708572290960 = 0. Calculate x.
-1268, -1, 37062
Solve -2*h**3/13 + 12422420*h**2/13 + 62112142*h/13 + 49689720/13 = 0.
-4, -1, 6211215
Factor 4*d**2 + 49368*d - 13569436.
4*(d - 269)*(d + 12611)
Solve -3*l**5/7 - 124317*l**4/7 + 1989585*l**3/7 - 10570575*l**2/7 + 18654750*l/7 = 0.
-41455, 0, 5, 6
Determine h so that -h**3/2 - 395360*h**2 + 7907275*h/2 - 9884125 = 0.
-790730, 5
Factor j**3 + 63360*j**2 - 5519803*j + 5456442.
(j - 86)*(j - 1)*(j + 63447)
Find a, given that -3*a**3 - 134241*a**2 + 805554*a = 0.
-44753, 0, 6
Suppose -9*y**4 - 13557*y**3 - 3865386*y**2 + 2582952*y = 0. What is y?
-1124, -383, 0, 2/3
Solve -l**5/3 + 4979*l**4/3 - 1250513*l**3/3 + 6143113*l**2/3 - 1210718*l - 3676920 = 0.
-1, 3, 260, 4714
Let -4*i**4/3 - 4688*i**3/3 + 326572*i**2/3 - 321880*i/3 = 0. Calculate i.
-1238, 0, 1, 65
Factor 2*g**3/13 - 1334*g**2/13 - 14292530*g/13 - 918810466.
2*(g - 3341)*(g + 1337)**2/13
Factor 2*h**2/13 - 5146*h/13 + 3020604/13.
2*(h - 1667)*(h - 906)/13
Factor -2*h**2 + 226371712*h - 6405518999226368.
-2*(h - 56592928)**2
Let 4*t**2/3 - 12760*t + 76544/3 = 0. What is t?
2, 9568
Factor 3*u**2 + 72597*u - 21008130.
3*(u - 286)*(u + 24485)
Factor g**3/5 + 3012*g**2/5 - 3208361*g.
g*(g - 2773)*(g + 5785)/5
Determine n so that n**2 + 29503676*n + 217616724378244 = 0.
-14751838
Solve -14*m**4 - 848*m**3 + 185180*m**2 + 106448*m - 79566 = 0.
-149, -1, 3/7, 89
Find s, given that 14*s**2/9 - 242240*s/9 - 34606/9 = 0.
-1/7, 17303
Suppose -4*s**4 + 1040*s**3 - 77972*s**2 + 1527736*s - 2751840 = 0. Calculate s.
2, 27, 91, 140
Factor c**3/2 - 3379*c**2 + 121401*c/2 - 272970.
(c - 6740)*(c - 9)**2/2
Suppose 38*f**4 + 1972082*f**3/3 + 8533637810*f**2/3 + 42319818814*f/3 - 1495412180/3 = 0. Calculate f.
-8647, -5, 2/57
Let -3*w**4/4 - 7743*w**3/4 - 171741*w**2/2 - 711348*w = 0. What is w?
-2536, -34, -11, 0
Factor 5*k**3 - 83335*k**2 + 166575*k + 1249875.
5*(k - 16665)*(k - 5)*(k + 3)
Let 5*r**5 - 115*r**4 + 250*r**3 + 5740*r**2 - 5880*r = 0. Calculate r.
-6, 0, 1, 14
Suppose 28*p**5 + 139504*p**4 + 183771824*p**3 + 24568130048*p**2 + 7004467200*p = 0. Calculate p.
-2416, -150, -2/7, 0
Factor 3*t**4 - 1125*t**3 + 76950*t**2.
3*t**2*(t - 285)*(t - 90)
Factor -5*y**2 + 12006716*y - 12006711.
-(y - 1)*(5*y - 12006711)
Suppose k**4 - 6505*k**3 + 51992*k**2 - 103952*k = 0. What is k?
0, 4, 6497
Suppose -15*c**3 - 201135140*c**2 - 469315255*c - 134090070 = 0. What is c?
-13409007, -2, -1/3
Factor j**2/4 - 4151403*j/2 + 4151402.
(j - 8302804)*(j - 2)/4
Let -m**3 - 1798384*m**2 - 808528268724*m + 16171284736080 = 0. Calculate m.
-899202, 20
Find u, given that 10*u**3 - 10561478*u**2 + 42245888*u/5 - 8449176/5 = 0.
2/5, 1056147
Factor 3*w**2/4 + 427431*w/4 + 534270.
3*(w + 5)*(w + 142472)/4
What is c in c**2/3 + 8444*c/3 - 8368640/3 = 0?
-9340, 896
Let 4*f**4 - 52628*f**3 - 3438252*f**2 + 7034372*f - 3543496 = 0. Calculate f.
-67, 1, 13222
Factor -i**4/2 - 134*i**3 + 5472*i**2.
-i**2*(i - 36)*(i + 304)/2
Determine l, given that 4*l**2 + 382384*l + 67556652 = 0.
-95419, -177
Determine l so that 3*l**2/4 + 3025281*l/4 - 3025287/2 = 0.
-1008429, 2
Find j, given that -j**3/3 + 16947678*j**2 - 215417808298403*j - 2585014513069444/3 = 0.
-4, 25421519
Factor 14351405*o**2 - 57405635*o + 60.
5*(o - 4)*(2870281*o - 3)
Determine u, given that -2*u**3/5 + 4086*u**2/5 + 4587696*u/5 - 5534568 = 0.
-810, 6, 2847
Let -p**5/4 + 16371*p**4/4 + 49121*p**3/4 + 16377*p**2/4 - 12280*p - 8187 = 0. Calculate p.
-2, -1, 1, 16374
Determine f, given that -68403*f**3/8 + 2126835*f**2/8 - 528273*f + 542967/2 = 0.
158/151, 29
Determine v so that -16*v**3 + 566062*v**2 - 495290*v - 70756 = 0.
-1/8, 1, 35378
Find l such that -l**3/8 + 15530*l**2 - 1614963*l/8 + 372681/2 = 0.
1, 12, 124227
Let -1558*a**3 - 16559986*a**2 - 16600940*a - 42512 = 0. Calculate a.
-10628, -1, -2/779
What is f in 33*f**3 + 113670*f**2 - 734721*f + 1180242 = 0?
-3451, 3, 38/11
Find j, given that 132*j**4 - 560*j**3 - 18356*j**2 + 4496*j + 560 = 0.
-10, -1/11, 1/3, 14
Let -m**3/7 - 5073099*m**2/7 - 6434085902499*m/7 - 6434080829401/7 = 0. What is m?
-2536549, -1
Factor 9*c**3/7 + 585519*c**2/7 + 9521075335*c/7 - 9525174409.
(c - 7)*(3*c + 97597)**2/7
Solve -r**5/4 - 105321*r**4/4 + 3478101*r**3/2 + 34778285*r**2/2 + 121193175*r/4 - 197600625/4 = 0.
-105387, -5, 1, 75
Determine i, given that -3*i**3/4 + 9843*i**2/4 - 2222349*i/4 - 2232195/4 = 0.
-1, 245, 3037
Factor 2*a**2 - 15198*a + 2278476.
2*(a - 7446)*(a - 153)
Let 6*b**3/11 - 16644*b**2/11 + 13900614*b/11 - 3651921000/11 = 0. What is b?
637, 1500
Solve -2*d**3 + 7891918*d**2 + 47351562*d + 71027370 = 0.
-3, 3945965
Factor 5*y**2 - 1795712080*y + 161229093712896320.
5*(y - 179571208)**2
Find c, given that -2*c**3/5 - 704756*c**2 + 7047566*c/5 - 3523784/5 = 0.
-1761892, 1
Factor i**2 - 8622*i + 5386032.
(i - 7944)*(i - 678)
Suppose 31016294*g**2 + 31016302*g + 8 = 0. What is g?
-1, -4/15508147
Suppose 3*o**5/8 - 15*o**4/4 - 5193*o**3/8 + 17145*o**2/2 + 249075*o/2 = 0. Calculate o.
-41, -9, 0, 30
Find y, given that -3*y**2 - 15798468*y - 31596924 = 0.
-5266154, -2
Determine j, given that 2*j**2/5 + 83414*j/5 + 20338260 = 0.
-40450, -1257
Solve f**4 - 9*f**3 - 61632*f**2 + 6792844*f - 196874304 = 0 for f.
-291, 62, 176
Let m**5/2 + 51*m**4/2 + 364*m**3 + 1410*m**2 - 1800*m = 0. Calculate m.
-30, -12, -10, 0, 1
Determine j, given that -12*j**4/5 + 1461*j**3/5 - 765*j**2 - 3084081*j/5 + 14585217/5 = 0.
-41, 19/4, 79
Let 4*y**4 - 34836*y**3 + 626184*y**2 - 3755376*y + 7509024 = 0. Calculate y.
6, 8691
Factor 2*t**2 - 217958608*t + 217958606.
2*(t - 108979303)*(t - 1)
Determine u so that 4*u**2/3 + 540364144*u + 54748764022659888 = 0.
-202636554
Find x such that 3*x**5/7 + 1476*x**4/7 - 21642*x**3/7 - 995940*x**2/7 - 916575*x = 0.
-505, -11, 0, 35
Let -y**3/3 + 40169*y**2 + 1004442*y - 3133832/3 = 0. Calculate y.
-26, 1, 120532
Factor o**2/2 - 94779263*o + 8983108694823169/2.
(o - 94779263)**2/2
What is z in -356*z**3/7 - 23668*z**2/7 + 382568*z/7 - 191360/7 = 0?
-80, 46/89, 13
Let -i**5 + 74848*i**4 - 523900*i**3 + 972930*i**2 + 224541*i - 1347138 = 0. Calculate i.
-1, 2, 3, 74841
Find m such that -m**5 + 6065*m**4 - 10466322*m**3 + 3705385082*m**2 + 7442193395*m + 3726335925 = 0.
-1, 477, 2795
Suppose -30700*n**5 - 1166588*n**4 - 9332344*n**3 - 1285752*n**2 + 121848804*n - 47628 = 0. Calculate n.
-27, -7, 3/7675, 3
Factor 2*s**4/7 - 7828*s**3/7 + 7814*s**2.
2*s**2*(s - 3907)*(s - 7)/7
Let 2*l**4/3 - 1827650*l**3/3 + 417707071228*l**2/3 - 77212929713920*l/3 - 25876879537600 = 0. What is l?
-1, 186, 456820
Determine q so that -q**5/3 + 98993*q**4/3 - 38604472*q**3/3 + 5039823880*q**2/3 - 221629912400*q/3 + 216628594000/3 = 0.
1, 130, 98602
Find h, given that 5*h**4/3 + 2819*h**3/3 + 4670*h**2 + 22372*h/3 + 11176/3 = 0.
-2794/5, -2, -1
Determine x, given that 5*x**2 + 32360*x - 13780365 = 0.
-6873