o = 0.
0, 21
Factor -2*r**3 + 8*r**2 - 10*r + 4.
-2*(r - 2)*(r - 1)**2
Determine t, given that 2*t**4 + 34*t**3 + 204*t**2 + 504*t + 432 = 0.
-6, -3, -2
Factor 3*z**5 + 9*z**4 - 3*z**3 - 9*z**2.
3*z**2*(z - 1)*(z + 1)*(z + 3)
Solve 2*b**5/13 + 20*b**4/13 - 134*b**3/13 - 320*b**2/13 - 168*b/13 = 0 for b.
-14, -1, 0, 6
Find n such that 2*n**4/5 + 64*n**3/5 + 114*n**2 + 180*n = 0.
-15, -2, 0
What is i in 4*i**5/5 - 376*i**4/5 + 13408*i**3/5 - 218944*i**2/5 + 1494592*i/5 - 2214784/5 = 0?
2, 22, 26
Determine p so that 3*p**5 - 76*p**4 - 57*p**3 + 126*p**2 + 104*p = 0.
-1, 0, 4/3, 26
Solve -5*v**2 - 355*v = 0.
-71, 0
What is v in 2*v**4/9 + 68*v**3/9 + 142*v**2/3 - 2584*v/9 + 2888/9 = 0?
-19, 2
Factor -5*l**2 + 235*l + 1020.
-5*(l - 51)*(l + 4)
Let -31*r**5 + 772*r**4 - 5133*r**3 + 3960*r**2 + 432*r = 0. Calculate r.
-3/31, 0, 1, 12
Suppose -2*h**5/9 - 8*h**4/9 + 98*h**3/9 - 208*h**2/9 + 40*h/3 = 0. What is h?
-10, 0, 1, 2, 3
Solve 6*y**4/5 - 6*y**3/5 - 204*y**2/5 - 336*y/5 = 0.
-4, -2, 0, 7
Suppose 2*w**5/3 - 2*w**4 + 2*w**3/3 + 2*w**2 - 4*w/3 = 0. Calculate w.
-1, 0, 1, 2
Solve -12*r**3 + 36*r**2 + 45*r + 12 = 0.
-1/2, 4
Suppose -x**2/12 + 8*x/3 - 13 = 0. Calculate x.
6, 26
Suppose 4*m**5/7 + 192*m**4/7 + 144*m**3 - 128*m**2/7 - 768*m = 0. What is m?
-42, -4, 0, 2
Factor -c**2 + 46*c - 529.
-(c - 23)**2
Factor 5*y**3 - 25*y**2 - 370*y + 1200.
5*(y - 10)*(y - 3)*(y + 8)
Find s such that -s**5 - 17*s**4 - 105*s**3 - 275*s**2 - 250*s = 0.
-5, -2, 0
Factor -y**4/2 + 916*y**3 - 420443*y**2 + 838140*y - 837225/2.
-(y - 915)**2*(y - 1)**2/2
What is r in -2*r**2 + 108*r + 224 = 0?
-2, 56
Solve 2*g**4 + 2942*g**3 + 1080448*g**2 - 1083392*g = 0.
-736, 0, 1
Solve 4*q**3 - 2832*q**2/5 - 1136*q/5 = 0 for q.
-2/5, 0, 142
Factor 9*d**3 - 1506*d**2 + 1995*d - 498.
3*(d - 166)*(d - 1)*(3*d - 1)
Factor -j**3/2 - j**2 + 43*j/2 - 20.
-(j - 5)*(j - 1)*(j + 8)/2
What is s in 5*s**4 + 65*s**3 + 200*s**2 + 180*s = 0?
-9, -2, 0
Determine z so that 2*z**5 + 20*z**4 - 48*z**3 + 4*z**2 + 46*z - 24 = 0.
-12, -1, 1
Solve 10*b**3/3 - 134*b**2/3 + 352*b/3 - 40 = 0.
2/5, 3, 10
Solve n**5 + 11*n**4 - 222*n**3 + 1134*n**2 - 2403*n + 1863 = 0 for n.
-23, 3
Factor 2*l**5/9 - 112*l**4/9 - 38*l**3/3.
2*l**3*(l - 57)*(l + 1)/9
Factor -722*o**3/11 + 3458*o**2/11 - 5328*o/11 + 2592/11.
-2*(o - 1)*(19*o - 36)**2/11
Factor -r**4/2 - 11*r**3/2 + 143*r**2/2 + 315*r/2 + 81.
-(r - 9)*(r + 1)**2*(r + 18)/2
Solve -5*k**5/9 - 16*k**4/3 - 140*k**3/9 - 32*k**2/3 + 64*k/9 = 0 for k.
-4, -2, 0, 2/5
Suppose -5*d**4 + 1395*d**3 + 2805*d**2 + 1405*d = 0. What is d?
-1, 0, 281
Find k, given that 5*k**2 - 355*k + 690 = 0.
2, 69
Factor -4*i**3/5 - 59*i**2/5 - 102*i/5.
-i*(i + 2)*(4*i + 51)/5
Factor -i**3/6 + 203*i**2/3 + 821*i/2 + 618.
-(i - 412)*(i + 3)**2/6
Factor -2*g**3/11 + 6*g/11 - 4/11.
-2*(g - 1)**2*(g + 2)/11
Suppose x**3/5 - 44*x**2/5 + 112*x - 320 = 0. What is x?
4, 20
Solve -5*r**3 - 1765*r**2 - 1750*r + 3520 = 0.
-352, -2, 1
Factor -2*s**3/3 - 14*s**2 - 112*s/3 - 24.
-2*(s + 1)*(s + 2)*(s + 18)/3
Determine u, given that 2*u**5 + 13*u**4/3 + 2*u**3/3 - 4*u**2 - 8*u/3 - 1/3 = 0.
-1, -1/6, 1
Factor 2*c**4 - 212*c**3 + 416*c**2.
2*c**2*(c - 104)*(c - 2)
Find g such that -2*g**2/3 + 44*g/3 - 170/3 = 0.
5, 17
What is p in p**4/3 + 44*p**3/3 + 174*p**2 + 252*p - 441 = 0?
-21, -3, 1
Suppose 3*q**2/8 - 561*q + 209814 = 0. What is q?
748
Factor -p**2/6 + p/6.
-p*(p - 1)/6
Factor 2*p**4 - 70*p**3 - 222*p**2 - 226*p - 76.
2*(p - 38)*(p + 1)**3
Factor m**4/2 - 89*m**3/2 + 87*m**2/2 + 89*m/2 - 44.
(m - 88)*(m - 1)**2*(m + 1)/2
What is z in -8*z**4/11 + 1150*z**3/11 + 1448*z**2/11 + 290*z/11 = 0?
-1, -1/4, 0, 145
Factor -3*m**2 - 1452*m + 1455.
-3*(m - 1)*(m + 485)
Factor -3*m**2 + 84*m + 87.
-3*(m - 29)*(m + 1)
Suppose 3*s**3 - 1125*s**2 + 107136*s - 311364 = 0. What is s?
3, 186
Determine z, given that -3*z**4/2 + 12*z**3 - 27*z**2/2 - 27*z = 0.
-1, 0, 3, 6
Determine g, given that 2*g**4/3 - 154*g**3/9 + 772*g**2/9 + 3080*g/9 - 784/3 = 0.
-3, 2/3, 14
Suppose -y**3/2 - 3*y**2/2 + 9*y + 20 = 0. Calculate y.
-5, -2, 4
Factor -4*p**2 - 26520*p - 43956900.
-4*(p + 3315)**2
Let -180*b**5 - 215*b**4 + 165*b**3 + 235*b**2 + 15*b - 20 = 0. Calculate b.
-1, -4/9, 1/4, 1
Factor s**2/6 - 29*s/3.
s*(s - 58)/6
Factor 15*f**4 - 132*f**3 + 198*f**2 - 60*f - 21.
3*(f - 7)*(f - 1)**2*(5*f + 1)
Find s, given that s**2/7 + 6*s/7 + 8/7 = 0.
-4, -2
Let 5*u**3/2 + 20*u**2 + 65*u/2 + 15 = 0. What is u?
-6, -1
Solve 2*y**5 + 14*y**4 + 12*y**3 = 0.
-6, -1, 0
Solve -w**5/4 - 61*w**4/2 - 898*w**3 + 2044*w**2 + 3596*w - 7688 = 0.
-62, -2, 2
What is h in -2*h**5 - 54*h**4 - 238*h**3 - 410*h**2 - 312*h - 88 = 0?
-22, -2, -1
Factor 3*b**2/8 + 2889*b/8 - 723/2.
3*(b - 1)*(b + 964)/8
What is r in -4*r**3 - 3424*r**2 + 3428*r = 0?
-857, 0, 1
Find n such that -28*n**2 + 2108*n + 2136 = 0.
-1, 534/7
Suppose 4*o**4 - 8*o**3 - 84*o**2 + 248*o - 160 = 0. Calculate o.
-5, 1, 2, 4
Factor g**4/5 - 13*g**3/5 + 7*g**2 + 49*g/5.
g*(g - 7)**2*(g + 1)/5
Suppose 5*o**3/2 - 25*o**2 - 60*o = 0. Calculate o.
-2, 0, 12
Find c, given that -6*c**4/5 + 2*c**3/5 + 24*c**2/5 - 8*c/5 = 0.
-2, 0, 1/3, 2
Determine f so that -f**5/2 + 3*f**4/2 + 17*f**3/2 - 27*f**2/2 - 44*f - 24 = 0.
-3, -1, 4
Factor -3*f**5 - 15*f**4 - 9*f**3 + 27*f**2.
-3*f**2*(f - 1)*(f + 3)**2
Find r such that -2*r**2/3 - 28*r/3 = 0.
-14, 0
Find j such that -j**4/10 + 280*j**3 - 294000*j**2 + 137200000*j - 24010000000 = 0.
700
Factor a**4/3 - 5*a**3/3 - 8*a**2 - 4*a/3 + 32/3.
(a - 8)*(a - 1)*(a + 2)**2/3
Suppose r**5/2 - 21*r**4/2 + 15*r**3/2 + 961*r**2/2 + 1344*r + 882 = 0. Calculate r.
-3, -1, 14
Determine h so that -2*h**4 - 44*h**3 + 454*h**2 - 768*h + 360 = 0.
-30, 1, 6
Factor -5*i**4 + 205*i**3 - 2200*i**2 + 2000*i.
-5*i*(i - 20)**2*(i - 1)
Determine x so that 12*x**4 + 183*x**3 - 147*x**2 - 48*x = 0.
-16, -1/4, 0, 1
What is q in -4*q**5 - 36*q**4 - 128*q**3 - 224*q**2 - 192*q - 64 = 0?
-2, -1
Factor 5*j**5 + 510*j**4 - 3740*j**3 + 8110*j**2 - 7065*j + 2180.
5*(j - 4)*(j - 1)**3*(j + 109)
Factor 3*l**5 - 12*l**4 - 9*l**3 + 102*l**2 - 156*l + 72.
3*(l - 2)**3*(l - 1)*(l + 3)
What is l in -3*l**3/7 + 69*l**2/7 - 24*l - 420 = 0?
-5, 14
Factor -40*g**3 + 86*g**2 - 52*g + 6.
-2*(g - 1)**2*(20*g - 3)
Factor -3*g**4 + 57*g**3 + 60*g**2.
-3*g**2*(g - 20)*(g + 1)
Factor -9*w**3/4 + 14*w**2 + 33*w - 8.
-(w - 8)*(w + 2)*(9*w - 2)/4
Suppose 2*q**4/7 + 38*q**3/7 - 82*q**2/7 + 6*q = 0. Calculate q.
-21, 0, 1
Determine p, given that 15*p**5/2 - 303*p**4/2 + 225*p**3/2 + 2427*p**2/2 - 1956*p + 342 = 0.
-3, 1/5, 2, 19
Let 2*b**4/9 + 40*b**3/9 - 50*b**2/9 - 160*b/9 + 56/3 = 0. Calculate b.
-21, -2, 1, 2
Suppose g**4 + 38*g**3 + 67*g**2 - 186*g - 216 = 0. Calculate g.
-36, -3, -1, 2
Suppose -q**3/4 - 57*q**2/4 - 311*q/4 - 255/4 = 0. What is q?
-51, -5, -1
Solve -2*c**2/7 + 54*c/7 + 116/7 = 0 for c.
-2, 29
Solve -3*l**4/2 + 6*l**2 = 0.
-2, 0, 2
Factor 4*x**2 + 136*x - 140.
4*(x - 1)*(x + 35)
Determine t so that -2*t**5/15 - 1246*t**4/15 + 250*t**3 - 3754*t**2/15 + 1252*t/15 = 0.
-626, 0, 1
Factor 2*h**2/13 - 196*h/13 + 2880/13.
2*(h - 80)*(h - 18)/13
Determine v so that -5*v**3 + 15*v**2 + 20*v - 60 = 0.
-2, 2, 3
Factor x**2/2 + 340*x + 57800.
(x + 340)**2/2
Factor -3*l**3/7 + 6219*l**2/7 + 6222*l/7.
-3*l*(l - 2074)*(l + 1)/7
Determine p so that -3*p**2 - 2955*p + 2958 = 0.
-986, 1
Factor 2*t**3/9 + 2*t**2 + 16*t/3 + 32/9.
2*(t + 1)*(t + 4)**2/9
Factor 2*k**2 + 62*k - 360.
2*(k - 5)*(k + 36)
Determine j, given that j**2/2 + 19*j - 84 = 0.
-42, 4
Determine h, given that -h**5/5 - 13*h**4/5 - 12*h**3/5 = 0.
-12, -1, 0
What is j in -4*j**5 - 52*j**4 + 12*j**3 + 148*j**2 - 104*j = 0?
-13, -2, 0, 1
Factor -4*h**3 - 44*h**2.
-4*h**2*(h + 11)
Factor 14*r**4 - 36*r**3 - 74*r**2 - 24*r.
2*r*(r - 4)*(r + 1)*(7*r + 3)
What is u in -25*u**3/4 - 65*u**2/4 - 5*u + 5 = 0?
-2, -1, 2/5
Factor 3*w**3/5 + 333*w**2/5 + 12321*w/5 + 151959/5.
3*(w + 37)**3/5
Find v, given that -5*v**4 + 30*v**3 - 45*v**2 + 20*v = 0.
0, 1, 4
Suppose s**5/4 - 31*s**4/4 - 25*s**3 - 17*s**2 = 0. Calculate s.
-2, -1, 0, 34
Find y such that -4*y**4/7 - 16*y**3 - 888*y**2/7 - 208*y - 676/7 = 0.
-13, -1
Suppose 2*q**2 + 130*q = 0. What is q?
-65, 0
Factor g**4/7 - 32*g**3/7 + 89*g**2/7 - 58*g/7.
g*(g - 29)*(g - 2)*(g - 1)/7
Let -4*s**4 + 1488*s**3 - 13