4*p**2 - 160*p + 100.
4*(p - 1)**2*(p + 5)**2
Let -i**4/2 - 75*i**3/8 + 183*i**2/8 - 125*i/8 + 21/8 = 0. What is i?
-21, 1/4, 1
Find l such that -2*l**3/9 + 286*l**2/9 - 188*l/3 = 0.
0, 2, 141
Suppose 10285412*i**3 - 450456*i**2 + 6576*i - 32 = 0. What is i?
2/137
Factor -2*p**3/9 - 68*p**2/9.
-2*p**2*(p + 34)/9
What is t in 2*t**3/5 - 512*t**2/5 + 33274*t/5 - 64516/5 = 0?
2, 127
Suppose -3*g**3 - 135*g**2 = 0. What is g?
-45, 0
What is i in 8*i**2/13 + 21026*i/13 + 5256/13 = 0?
-2628, -1/4
What is n in -25*n**3/2 + 430*n**2 + 1425*n/2 + 270 = 0?
-1, -3/5, 36
Let 5*v**2 - 15*v - 90 = 0. What is v?
-3, 6
Factor -r**2/7 + 233*r/7 + 708/7.
-(r - 236)*(r + 3)/7
Factor 27*f**4 + 81*f**3 + 90*f**2 + 44*f + 8.
(f + 1)*(3*f + 2)**3
Suppose 12005*j**5 - 4896325*j**4 - 5605600*j**3 - 2403800*j**2 - 458000*j - 32720 = 0. What is j?
-2/7, 409
Factor 357*g**2/4 - 359*g/4 + 1/2.
(g - 1)*(357*g - 2)/4
What is g in -2*g**5 + 136*g**4 - 2984*g**3 + 22848*g**2 - 56448*g = 0?
0, 6, 28
Suppose -5*x**2/6 + 80*x/3 - 155/6 = 0. Calculate x.
1, 31
Suppose 4*k**3/3 + 320*k**2/3 + 6400*k/3 = 0. What is k?
-40, 0
Suppose -20*z**4 + 315*z**3 - 1165*z**2 + 1365*z - 495 = 0. What is z?
3/4, 1, 3, 11
Factor -5*r**3 - 450*r**2 - 5440*r - 9120.
-5*(r + 2)*(r + 12)*(r + 76)
Factor -y**5 + 13*y**4 - 11*y**3 - 13*y**2 + 12*y.
-y*(y - 12)*(y - 1)**2*(y + 1)
Factor 2*x**4 - 40*x**3 + 200*x**2.
2*x**2*(x - 10)**2
Determine t so that -13*t**2 - 15*t/2 = 0.
-15/26, 0
Factor 2*c**2/3 - 308*c/3 + 11858/3.
2*(c - 77)**2/3
Let -v**4/3 + 5*v**3 - 13*v**2/3 - 5*v + 14/3 = 0. Calculate v.
-1, 1, 14
Suppose 81*g**5/4 - 18*g**4 - 227*g**3/4 + 189*g**2/2 - 48*g + 8 = 0. Calculate g.
-2, 4/9, 1
Find z, given that 3*z**3 - 45*z**2 + 69*z + 117 = 0.
-1, 3, 13
Factor -90*t**3 - 455*t**2 - 25*t.
-5*t*(t + 5)*(18*t + 1)
Determine i, given that -5*i**3/8 + 37*i**2/4 - 223*i/8 + 77/4 = 0.
1, 14/5, 11
Solve -5*g**4 + 25*g**3 = 0 for g.
0, 5
Find p, given that -25*p**5 + 20*p**4 + 96*p**3 - 80*p**2 + 16*p = 0.
-2, 0, 2/5, 2
Factor -2*z**2/3 - 190*z/3.
-2*z*(z + 95)/3
What is z in 4*z**5 + 12*z**4 - 24*z**3 - 32*z**2 = 0?
-4, -1, 0, 2
Factor -2*m**2/11 + 1260*m/11 - 198450/11.
-2*(m - 315)**2/11
Let -3*l**4/8 - 147*l**3/8 - 807*l**2/8 - 1437*l/8 - 387/4 = 0. What is l?
-43, -3, -2, -1
Let -3*d**2/5 + 381*d/5 = 0. Calculate d.
0, 127
Factor -9*a**2 + 2163*a - 720.
-3*(a - 240)*(3*a - 1)
Factor s**4/2 + 11*s**3/2 + 27*s**2/2 + 25*s/2 + 4.
(s + 1)**3*(s + 8)/2
Factor 3*z**3 + 2685*z**2 + 599424*z - 602112.
3*(z - 1)*(z + 448)**2
Factor -3*o**3/5 - 30*o**2 + 3*o/5 + 30.
-3*(o - 1)*(o + 1)*(o + 50)/5
Factor 2*y**5/19 - 66*y**4/19 + 438*y**3/19 + 1730*y**2/19 + 1872*y/19 + 648/19.
2*(y - 18)**2*(y + 1)**3/19
Let 5*y**3 - 4380*y**2 + 4375*y = 0. Calculate y.
0, 1, 875
Factor 3*f**2 - 129*f - 1050.
3*(f - 50)*(f + 7)
Suppose 4*v**4/3 + 30235*v**3/3 + 19048679*v**2 + 42834965*v/3 - 14280841/3 = 0. What is v?
-3779, -1, 1/4
Factor -5*r**3 + 335*r**2 + 690*r.
-5*r*(r - 69)*(r + 2)
Solve -18*h**5 + 40*h**4 - 8*h**3 = 0 for h.
0, 2/9, 2
Suppose 3*k**3 + 125*k**2 + 198*k - 80 = 0. What is k?
-40, -2, 1/3
Factor -5*j**2/2 - 55*j - 285/2.
-5*(j + 3)*(j + 19)/2
Find g such that -50*g**5/9 + 196*g**4/9 + 24*g**3 - 784*g**2/9 - 64*g/9 = 0.
-2, -2/25, 0, 2, 4
Factor -2*v**2 + 18*v + 44.
-2*(v - 11)*(v + 2)
Solve -5*c**5 + 35*c**4 + 35*c**3 - 215*c**2 - 210*c = 0.
-2, -1, 0, 3, 7
Factor 16*i**2/5 + 62*i/5 - 8/5.
2*(i + 4)*(8*i - 1)/5
What is k in -3*k**4 - 27*k**3 + 363*k**2 - 765*k = 0?
-17, 0, 3, 5
Find r such that -4*r**3 - 264*r**2 - 2340*r - 5600 = 0.
-56, -5
Factor -h**5 - 12*h**4 - 54*h**3 - 108*h**2 - 81*h.
-h*(h + 3)**4
Determine x, given that -x**2 - 30*x + 259 = 0.
-37, 7
Determine i, given that 2*i**2/17 - 484*i/17 + 960/17 = 0.
2, 240
Solve 4*c**4 + 44*c**3 + 32*c**2 - 80*c = 0.
-10, -2, 0, 1
Factor 5*y**2 - 700*y + 24500.
5*(y - 70)**2
Let c**2/8 + c - 6 = 0. What is c?
-12, 4
Factor -k**2/3 + 3*k - 8/3.
-(k - 8)*(k - 1)/3
What is l in -22326*l**5/5 + 5978*l**4/5 + 464*l**3/5 + 8*l**2/5 = 0?
-2/61, 0, 1/3
Factor 2*o**3/7 - 48*o**2/7 - 110*o.
2*o*(o - 35)*(o + 11)/7
Factor d**3/8 - 35*d**2/8 - 19*d/4 + 9.
(d - 36)*(d - 1)*(d + 2)/8
Let 2*i**3/9 + 14*i**2/9 - 100*i = 0. Calculate i.
-25, 0, 18
Solve t**3 + 916*t**2 + 209764*t = 0 for t.
-458, 0
Determine w so that -2*w**2/23 + 14380*w/23 - 25848050/23 = 0.
3595
What is c in -2*c**3/3 + 9962*c**2/3 - 4136720*c + 4133400 = 0?
1, 2490
Let -o**3/6 - 17*o**2/6 - 31*o/6 - 5/2 = 0. What is o?
-15, -1
Factor -2*h**3/3 - 458*h**2/3 + 1400*h/3 + 1856/3.
-2*(h - 4)*(h + 1)*(h + 232)/3
Let -12*w**3 + 4233*w**2 + 1059*w = 0. What is w?
-1/4, 0, 353
Factor a**2/3 + 133*a/3 - 278.
(a - 6)*(a + 139)/3
Let f**5/5 + 3*f**4/5 - 11*f**3 - 3*f**2/5 + 54*f/5 = 0. What is f?
-9, -1, 0, 1, 6
Determine c so that -c**2 + 462*c - 53361 = 0.
231
Suppose -r**5/5 - 43*r**4/5 - 268*r**3/5 - 588*r**2/5 - 432*r/5 = 0. What is r?
-36, -3, -2, 0
Factor -5*m**4 - 430*m**3 - 13305*m**2 - 174580*m - 824180.
-5*(m + 14)**2*(m + 29)**2
Determine b, given that -5*b**4 - 50*b**3 - 115*b**2 - 70*b = 0.
-7, -2, -1, 0
Factor -34*b**3 + 166*b**2/5 + 4*b/5.
-2*b*(b - 1)*(85*b + 2)/5
Factor -5*y**3 - 495*y**2 - 16335*y - 179685.
-5*(y + 33)**3
Factor z**2 + 24*z + 144.
(z + 12)**2
Factor -4*b**2 - 16256*b - 16516096.
-4*(b + 2032)**2
Factor -v**2/4 + v/4 + 15/2.
-(v - 6)*(v + 5)/4
Factor -5*k**2/2 - 29*k/2 + 3.
-(k + 6)*(5*k - 1)/2
Determine f so that -f**2/3 - 351*f + 2110/3 = 0.
-1055, 2
Factor -r**4 + 23*r**3 + 4*r**2 - 92*r.
-r*(r - 23)*(r - 2)*(r + 2)
Solve -y**2/7 + 1150*y/7 - 330625/7 = 0 for y.
575
Factor 14*y**2 - 22*y - 12.
2*(y - 2)*(7*y + 3)
Factor -q**5/3 - q**4 + 3*q**3 - 5*q**2/3.
-q**2*(q - 1)**2*(q + 5)/3
Let -p**5/3 - 2*p**4 - 11*p**3/3 - 2*p**2/3 + 4*p + 8/3 = 0. Calculate p.
-2, -1, 1
Let -y**2/9 - 2287*y/9 + 1526/3 = 0. Calculate y.
-2289, 2
Suppose 3*p**5 - 201*p**4 - 207*p**3 + 201*p**2 + 204*p = 0. Calculate p.
-1, 0, 1, 68
Solve -2*z**2/7 - 10*z/7 + 72/7 = 0 for z.
-9, 4
Find f such that 3*f**4/5 - 42*f**3/5 + 33*f**2/5 + 78*f/5 = 0.
-1, 0, 2, 13
Solve -5*t**3 + 220*t**2 - 1520*t + 2880 = 0.
4, 36
Suppose 5*h**4/3 + 400*h**3/3 - 815*h**2/3 + 410*h/3 = 0. Calculate h.
-82, 0, 1
Factor -q**4/3 - 20*q**3/3 - 25*q**2 + 500*q/3 + 2500/3.
-(q - 5)*(q + 5)*(q + 10)**2/3
Let -b**3/5 + 573*b**2/5 - 3411*b/5 + 5103/5 = 0. Calculate b.
3, 567
Determine u so that -u**4 - 2*u**3 + 3*u**2 + 8*u + 4 = 0.
-2, -1, 2
Let -7*y**4 - 33*y**3 + 108*y**2 - 28*y = 0. What is y?
-7, 0, 2/7, 2
Determine a so that 7*a**4/2 + a**3 - 7*a**2/2 - a = 0.
-1, -2/7, 0, 1
Determine w, given that -4*w**4/7 + 144*w**3/7 - 1432*w**2/7 + 2448*w/7 - 1156/7 = 0.
1, 17
Find l, given that 15*l**4 - 70*l**3 - 125*l**2 + 20*l + 60 = 0.
-1, 2/3, 6
Determine v, given that -5*v**5/3 - 89*v**4/3 - 158*v**3/3 + 10*v**2/3 + 163*v/3 + 79/3 = 0.
-79/5, -1, 1
Suppose 4*c**3/11 + 377*c**2/11 + 8930*c/11 + 2209/11 = 0. What is c?
-47, -1/4
Let -v**3/2 - 173*v**2/2 + 352*v - 354 = 0. Calculate v.
-177, 2
Suppose -2*f**2/3 + 32*f - 760/3 = 0. Calculate f.
10, 38
Factor -g**2/2 + 524*g - 137288.
-(g - 524)**2/2
Suppose -45*s**4 - 962*s**3 - 1188*s**2 + 1032*s - 160 = 0. Calculate s.
-20, -2, 2/9, 2/5
Determine n so that 7*n**2/10 + 3*n/2 - 9/5 = 0.
-3, 6/7
Factor t**4 - 423*t**3 - 3*t**2 + 1267*t + 846.
(t - 423)*(t - 2)*(t + 1)**2
Suppose 4*j**3 - 415*j**2 + 712*j + 204 = 0. What is j?
-1/4, 2, 102
Factor -182*f**2 + 176*f + 6.
-2*(f - 1)*(91*f + 3)
Factor g**3/3 + 346*g**2/3 + 30272*g/3 + 59168/3.
(g + 2)*(g + 172)**2/3
Determine h, given that 2*h**2/3 - 398*h/3 - 268 = 0.
-2, 201
Let -4*t**3 - 67*t**2 - 94*t + 165 = 0. Calculate t.
-15, -11/4, 1
Find d such that -5*d**3 + 6185*d**2 + 6190*d = 0.
-1, 0, 1238
Factor -2*d**4 - 16*d**3 - 24*d**2.
-2*d**2*(d + 2)*(d + 6)
Find q such that -q**5/2 - 1067*q**4/2 + 1069*q**3/2 + 1067*q**2/2 - 534*q = 0.
-1068, -1, 0, 1
Solve 121*n**3 - 1089*n**2 - 4*n + 36 = 0 for n.
-2/11, 2/11, 9
Factor -2*c**3 - 48*c**2 - 288*c.
-2*c*(c + 12)**2
Factor -2*w**2/17 + 972*w/17 + 3920/17.
-2*(w - 490)*(w + 4)/17
Factor n**3/2 - n**2 - 29*n/2 + 15.
(n - 6)*(n - 1)*(n + 5)/2
Determine q, given that -2*q**4/3 + 2*q**3 - 2*q**2 + 2*q/3 = 0.
0, 1
Factor i**2/4 + 11*i/2 + 28.
(i + 8)*(i + 14)/4
Find c, given that -c**