p**4 - 465*p**3/2 + 3245*p**2 + 2085*p/2 + 85 = 0.
-34/9, -1, -1/6, 1
Factor -p**2/6 - 10*p - 153/2.
-(p + 9)*(p + 51)/6
Find j, given that -3*j**2 + 18*j + 21 = 0.
-1, 7
Factor -12*t**2/5 - 6339*t/5 - 1584/5.
-3*(t + 528)*(4*t + 1)/5
Find k such that -3*k**2 + 66*k + 225 = 0.
-3, 25
Factor -b**3 + 2*b**2.
-b**2*(b - 2)
Factor -4*s**3 - 84*s**2 - 200*s + 288.
-4*(s - 1)*(s + 4)*(s + 18)
Factor -f**3/8 + 29*f**2/8 - 34*f + 104.
-(f - 13)*(f - 8)**2/8
Determine t, given that 2*t**4/5 + 2*t**3/5 - 94*t**2/5 - 18*t + 180 = 0.
-5, 3, 6
Factor 4*d**2 - 152*d + 148.
4*(d - 37)*(d - 1)
Find i, given that -532*i**5/3 - 180*i**4 - 8*i**3/3 = 0.
-1, -2/133, 0
Factor p**5 + 15*p**4 - 4*p**3 - 60*p**2.
p**2*(p - 2)*(p + 2)*(p + 15)
What is d in -25*d**2 + 240*d + 100 = 0?
-2/5, 10
Let -2*b**3/5 + 54*b**2/5 - 336*b/5 - 392/5 = 0. What is b?
-1, 14
Factor q**2/2 - 13*q.
q*(q - 26)/2
Find i, given that -i**3 + 8*i**2 - 13*i + 6 = 0.
1, 6
Find a such that -a**4/5 + 9*a**3/5 - 6*a**2/5 - 16*a/5 = 0.
-1, 0, 2, 8
Factor 15*n**2 - 267*n - 54.
3*(n - 18)*(5*n + 1)
Factor -2*i**3/11 + 336*i**2/11 + 678*i/11 + 340/11.
-2*(i - 170)*(i + 1)**2/11
Solve -35*r**2/4 + 5*r + 160 = 0.
-4, 32/7
Factor 9*c**4/4 + 192*c**3 + 4222*c**2 + 5376*c + 1764.
(c + 42)**2*(3*c + 2)**2/4
Solve -2*y**3/5 + 18*y**2/5 + 34*y + 30 = 0 for y.
-5, -1, 15
Factor 18*o**5/11 - 48*o**4/11 + 24*o**3/11.
6*o**3*(o - 2)*(3*o - 2)/11
Suppose -4*u**3 - 20*u**2 + 112*u + 128 = 0. What is u?
-8, -1, 4
Find t, given that -2*t**5/13 + 144*t**4/13 - 3592*t**3/13 + 39456*t**2/13 - 183168*t/13 + 235008/13 = 0.
2, 12, 34
Factor 3*i**2 - 387*i + 762.
3*(i - 127)*(i - 2)
Factor -9*a**4 + 43*a**3 - 53*a**2 + 13*a + 6.
-(a - 3)*(a - 1)**2*(9*a + 2)
Factor -4*o**5/3 + 20*o**4/3 - 11*o**3 + 20*o**2/3 - 4*o/3.
-o*(o - 2)**2*(2*o - 1)**2/3
Factor s**2/4 + 2453*s + 6017209.
(s + 4906)**2/4
Factor 630*r**3 + 2305*r**2 - 850*r + 40.
5*(r + 4)*(7*r - 2)*(18*r - 1)
Suppose 2*q**4/7 - 24*q**3/7 + 86*q**2/7 - 48*q/7 - 160/7 = 0. Calculate q.
-1, 4, 5
Solve 405*s**5 - 630*s**4 - 1555*s**3 - 580*s**2 - 60*s = 0 for s.
-1, -2/9, 0, 3
Factor -x**2/8 + 1229*x/4 - 1510441/8.
-(x - 1229)**2/8
Factor k**3 - 66*k**2.
k**2*(k - 66)
What is x in -2*x**3 + 1286*x**2 + 2578*x + 1290 = 0?
-1, 645
Find l, given that -2*l**5/7 - 24*l**4/7 - 64*l**3/7 = 0.
-8, -4, 0
Suppose -k**4/2 + 2*k**3 + 9*k**2/2 - 8*k - 10 = 0. Calculate k.
-2, -1, 2, 5
Factor 2*z**3 + 74*z**2 - 320*z + 328.
2*(z - 2)**2*(z + 41)
Find t such that -2*t**3/7 + 6*t**2 + 44*t/7 = 0.
-1, 0, 22
Factor 2*r**4 - 12*r**3 + 18*r**2 - 8*r.
2*r*(r - 4)*(r - 1)**2
Factor h**3/2 + 1239*h**2/2 - 1241*h.
h*(h - 2)*(h + 1241)/2
Suppose -q**3/4 - 123*q**2/4 + q + 123 = 0. Calculate q.
-123, -2, 2
Factor 2*z**3 - 84*z**2 + 594*z.
2*z*(z - 33)*(z - 9)
Factor -5*s**2/3 - 1805*s/3 - 600.
-5*(s + 1)*(s + 360)/3
Suppose -6*o**5/11 + 4*o**4/11 + 10*o**3/11 - 8*o**2/11 = 0. Calculate o.
-4/3, 0, 1
Let -2*z**2 - 1856*z - 430592 = 0. Calculate z.
-464
Let v**4/8 - 11*v**3 - v**2/8 + 11*v = 0. What is v?
-1, 0, 1, 88
Solve -s**3/6 + 45*s**2/2 + 494*s/3 + 142 = 0 for s.
-6, -1, 142
What is a in 2*a**2/15 - 4*a/3 = 0?
0, 10
Factor -j**5 + 140*j**4 - 6486*j**3 + 97196*j**2 + 103823*j.
-j*(j - 47)**3*(j + 1)
Factor q**3/4 - 12339*q**2/4 + 50750307*q/4 - 69578670897/4.
(q - 4113)**3/4
Find z such that 2*z**3/7 - 30*z**2/7 - 1164*z/7 + 2432/7 = 0.
-19, 2, 32
Find q, given that 4*q**5/3 + 80*q**4/3 + 84*q**3 - 1376*q**2/3 + 1040*q/3 = 0.
-13, -10, 0, 1, 2
Factor -s**3/3 + 82*s**2/3 + s/3 - 82/3.
-(s - 82)*(s - 1)*(s + 1)/3
Determine p so that p**2/5 + 61*p/5 - 52 = 0.
-65, 4
Determine a, given that -a**5/7 - 24*a**4/7 + 26*a**3/7 + 24*a**2/7 - 25*a/7 = 0.
-25, -1, 0, 1
Factor v**3/5 + 17*v**2/5 + 31*v/5 + 3.
(v + 1)**2*(v + 15)/5
Factor 5*y**3/2 - 55*y**2/2 + 15*y + 360.
5*(y - 8)*(y - 6)*(y + 3)/2
Find f, given that 2*f**2/19 - 224*f/19 - 690/19 = 0.
-3, 115
Factor -36*t**2/7 + 12*t - 7.
-(6*t - 7)**2/7
Factor -5*c**3 + 1685*c**2 + 20760*c + 62820.
-5*(c - 349)*(c + 6)**2
Factor -2*z**2 - 162*z + 164.
-2*(z - 1)*(z + 82)
Factor n**3/2 - 14*n**2.
n**2*(n - 28)/2
Solve m**5/4 - 135*m**4/4 + 2499*m**3/2 - 7360*m**2 + 6144*m = 0 for m.
0, 1, 6, 64
Let -4*v**3 - 56*v**2/3 + 220*v/3 + 56 = 0. Calculate v.
-7, -2/3, 3
Let 5*a**2/4 + 305*a/4 - 155/2 = 0. Calculate a.
-62, 1
Let 2*a**4/7 - 12*a**3/7 + 18*a**2/7 + 8*a/7 - 24/7 = 0. Calculate a.
-1, 2, 3
Factor -b**3 - 17*b**2 - 30*b.
-b*(b + 2)*(b + 15)
Factor m**2 - 196*m - 197.
(m - 197)*(m + 1)
Factor -k**4/3 + 10*k**3/3 - 7*k**2.
-k**2*(k - 7)*(k - 3)/3
Factor t**5 - 19*t**4 - 64*t**3 - 44*t**2.
t**2*(t - 22)*(t + 1)*(t + 2)
What is v in -4*v**4 - 17*v**3 - 24*v**2 - 13*v - 2 = 0?
-2, -1, -1/4
Factor 3*a**2 - 75*a + 252.
3*(a - 21)*(a - 4)
Determine c, given that 4*c**4 - 28*c**3 + 60*c**2 - 52*c + 16 = 0.
1, 4
What is s in -s**3/5 + 29*s**2/5 - 272*s/5 + 832/5 = 0?
8, 13
Factor -2*p**3 + 18*p**2 + 204*p + 320.
-2*(p - 16)*(p + 2)*(p + 5)
What is d in 2*d**2/3 + 388*d/9 - 130/9 = 0?
-65, 1/3
Suppose r**3 - 198*r**2 + 13068*r - 287496 = 0. Calculate r.
66
Factor -5*y**4/4 + 305*y**3/4 + 315*y**2/2.
-5*y**2*(y - 63)*(y + 2)/4
Determine w, given that 5*w**5 - 30*w**4 - 145*w**3 + 570*w**2 - 400*w = 0.
-5, 0, 1, 2, 8
Find d, given that d**3/3 + 47*d**2/3 = 0.
-47, 0
Solve 5*x**3 - 65*x**2 + 60*x = 0.
0, 1, 12
Solve -18*o**5 + 2598*o**4 - 87056*o**3 - 480328*o**2 - 792064*o - 401408 = 0 for o.
-2, -1, 224/3
Suppose -3*t**4/7 - 6*t**3/7 + 24*t**2/7 = 0. What is t?
-4, 0, 2
Factor -4*w**3 + 32*w**2 + 36*w.
-4*w*(w - 9)*(w + 1)
Suppose 14*z**4 - 122*z**3/3 - 18*z**2 + 122*z/3 + 4 = 0. Calculate z.
-1, -2/21, 1, 3
Determine s so that 3*s**2 + 36*s + 60 = 0.
-10, -2
Solve -27*u**5/7 - 33*u**4/7 + 57*u**3 - 531*u**2/7 + 132*u/7 + 60/7 = 0.
-5, -2/9, 1, 2
What is t in 3*t**5 - 12*t**4 - 3*t**3 + 12*t**2 = 0?
-1, 0, 1, 4
Solve 3*p**3 + 18*p**2 - 3*p - 90 = 0 for p.
-5, -3, 2
Suppose 5*z**4/2 - 17*z**3 - 97*z**2/2 - 9*z = 0. Calculate z.
-2, -1/5, 0, 9
Factor -155*f**3 - 450*f**2 + 60*f + 680.
-5*(f + 2)**2*(31*f - 34)
Factor 2*c**3/11 + 16*c**2 - 6496*c/11.
2*c*(c - 28)*(c + 116)/11
Factor 2*l**2/11 - 10*l/11 - 72/11.
2*(l - 9)*(l + 4)/11
Let 4*i**4 - 8*i**3 - 32*i**2 + 72*i - 36 = 0. Calculate i.
-3, 1, 3
Find i such that i**4 + 15*i**3 + 81*i**2 + 185*i + 150 = 0.
-5, -3, -2
Factor 8*u**3/23 + 10*u**2/23 - 464*u/23 + 1184/23.
2*(u - 4)**2*(4*u + 37)/23
Suppose 4*s**3 - 152*s**2 + 676*s - 528 = 0. Calculate s.
1, 4, 33
Factor c**2/6 + 17*c/2 + 99.
(c + 18)*(c + 33)/6
Let c**5/8 - 3*c**4 - 187*c**3/8 + 105*c**2/4 = 0. What is c?
-7, 0, 1, 30
Factor -2*l**4/3 - 60*l**3 - 4394*l**2/3 - 5160*l - 14792/3.
-2*(l + 2)**2*(l + 43)**2/3
Factor -i**5/3 - 7*i**4 + 15*i**3 - 23*i**2/3.
-i**2*(i - 1)**2*(i + 23)/3
Solve 8*d**5/7 - 30*d**4/7 - 128*d**3/7 + 62*d**2 - 204*d/7 - 80/7 = 0 for d.
-4, -1/4, 1, 2, 5
Determine p, given that 5*p**4 + 80*p**3 + 225*p**2 - 810*p = 0.
-9, 0, 2
Suppose 8*n**3/7 - 78*n**2/7 - 108*n/7 - 22/7 = 0. What is n?
-1, -1/4, 11
Factor 2*b**3/3 - 838*b**2/3 + 88198*b/3 - 87362/3.
2*(b - 209)**2*(b - 1)/3
Solve -14*t**4 + 68*t**3 - 90*t**2 + 36*t = 0.
0, 6/7, 1, 3
Determine q so that -q**5/6 + 35*q**4/6 + 4*q**3/3 - 140*q**2/3 - 8*q/3 + 280/3 = 0.
-2, 2, 35
Solve y**3/2 - 2*y**2 - 15*y/2 + 9 = 0.
-3, 1, 6
Factor 16*q**3 + 1728*q**2 - 1740*q + 436.
4*(q + 109)*(2*q - 1)**2
Factor -12*r**3 - 80*r**2 + 368*r/3 - 128/3.
-4*(r + 8)*(3*r - 2)**2/3
Factor -7*b**2 - 64*b/3 - 1.
-(b + 3)*(21*b + 1)/3
Let 2*a**3/3 - 4*a**2/3 - 14*a/3 - 8/3 = 0. Calculate a.
-1, 4
Determine u, given that 10*u**5 - 135*u**4 - 310*u**3 + 1140*u**2 + 1980*u + 675 = 0.
-3, -1, -1/2, 3, 15
Determine j so that 4*j**4 - 28*j**3 + 52*j**2 + 12*j - 72 = 0.
-1, 2, 3
Factor r**2/3 - 226*r/3 + 12769/3.
(r - 113)**2/3
Factor n**3 + 39*n**2 + 264*n + 496.
(n + 4)**2*(n + 31)
Factor -3*p**2 - 1287*p + 1290.
-3*(p - 1)*(p + 430)
Factor 603*o**2 - 627*o + 24.
3*(o - 1)*(201*o - 8)
Find t, given that -3*t**2 - 3*t + 6 = 0.
-2, 1
Factor r**2/8 + 12*r + 95/8.
(r + 1)*(r + 95)/8
Suppose -4*s**2 - 348*s + 352 = 0. Calculate s.
-88, 1
Find p such that 4*p**4 - 16*p**3 + 4*p**2 + 24*p = 0.
-1, 0, 2, 3
Factor 2*u**2/5 - 14*u/5 + 12/5.
2*(u - 6)*(u - 1)/5
Let 2*v**5/9 - 16*v**4/9 + 8*v**3/9 + 52*v**2/9 - 7