**5 + 24*i**4 + 25*i**3 - 216*i**2 + 196*i + 48 = 0.
-3, -1/5, 2, 4
Let i**2 + 15*i - 76 = 0. What is i?
-19, 4
Find q such that -4*q**3 + 15500*q**2 - 15007872*q - 15023376 = 0.
-1, 1938
Let -52*j**2 - 252*j + 40 = 0. What is j?
-5, 2/13
Factor h**5/2 - 9*h**4/2 + 15*h**3/2 - 7*h**2/2.
h**2*(h - 7)*(h - 1)**2/2
Factor x**3/3 - 11*x**2/3 - 134*x/3 + 48.
(x - 18)*(x - 1)*(x + 8)/3
Suppose -14*w**5 + 24*w**4 + 22*w**3 - 24*w**2 - 8*w = 0. Calculate w.
-1, -2/7, 0, 1, 2
Factor 6*y**3 - 4118*y**2 - 2750*y + 1374.
2*(y - 687)*(y + 1)*(3*y - 1)
Let -4*d**4 + 88*d**3 + 668*d**2 - 16272*d - 16848 = 0. Calculate d.
-13, -1, 18
Factor -2*d**4/13 - 288*d**3/13 - 15296*d**2/13 - 354816*d/13 - 3035648/13.
-2*(d + 28)**2*(d + 44)**2/13
Determine j, given that -10*j**4/9 - 14*j**3/9 + 4*j**2 + 56*j/9 + 16/9 = 0.
-2, -1, -2/5, 2
Factor -3*w**2/4 - 952*w + 635.
-(w + 1270)*(3*w - 2)/4
Factor -4*b**3/3 + 32*b**2/3 + 12*b - 96.
-4*(b - 8)*(b - 3)*(b + 3)/3
Solve -2*r**3/7 + 94*r**2/7 + 120*r/7 - 1152/7 = 0.
-4, 3, 48
Factor -2*j**4/5 + 98*j**3/5 + 20*j**2.
-2*j**2*(j - 50)*(j + 1)/5
Factor -4*v**3 - 232*v**2 + 480*v.
-4*v*(v - 2)*(v + 60)
Let 196*p**3/5 - 728*p**2/5 + 816*p/5 - 288/5 = 0. Calculate p.
6/7, 2
Factor 5*q**5/3 - 500*q**4 - 1005*q**3 - 1510*q**2/3.
5*q**2*(q - 302)*(q + 1)**2/3
Factor -5*m**4/4 - 5*m**3 + 75*m**2/4 + 45*m/2.
-5*m*(m - 3)*(m + 1)*(m + 6)/4
Factor 2*j**4 + 16*j**3 - 10*j**2 - 168*j.
2*j*(j - 3)*(j + 4)*(j + 7)
Factor -4*w**2/9 + 20*w/3 + 64/9.
-4*(w - 16)*(w + 1)/9
Factor -2*h**4/3 + 32*h**3/3 + 70*h**2/3 + 12*h.
-2*h*(h - 18)*(h + 1)**2/3
Solve 2*m**5/11 - 134*m**4/11 + 2306*m**3/11 - 174*m**2 - 396*m = 0 for m.
-1, 0, 2, 33
Determine a, given that 3*a**3 - 18*a**2 + 15*a = 0.
0, 1, 5
Find w such that 153*w**3/7 - 300*w**2/7 - 2307*w/7 - 90/7 = 0.
-3, -2/51, 5
Factor -28*o**3/9 + 43*o**2/9 - 17*o/9 + 2/9.
-(o - 1)*(4*o - 1)*(7*o - 2)/9
Find j, given that -j**3/5 - 11*j**2/5 + 12*j = 0.
-15, 0, 4
Factor -2*g**4/19 - 308*g**3/19 - 12162*g**2/19 - 1232*g - 608.
-2*(g + 1)**2*(g + 76)**2/19
Suppose 4*m**4 - 880*m**3 - 3572*m**2 - 2688*m = 0. Calculate m.
-3, -1, 0, 224
Factor -f**2/2 - 93*f - 185/2.
-(f + 1)*(f + 185)/2
Factor 9*j**4/2 - 195*j**3/2 + 127*j**2/2 - 21*j/2.
j*(j - 21)*(3*j - 1)**2/2
Determine g so that 2*g**3 - 26*g**2 - 2*g + 26 = 0.
-1, 1, 13
Find h such that -4*h**4/3 + 15*h**3 - 7*h**2/3 - 15*h + 11/3 = 0.
-1, 1/4, 1, 11
Factor -3*s**2/7 + 16626*s/7 - 23035323/7.
-3*(s - 2771)**2/7
Factor 5*u**2 + 645*u - 650.
5*(u - 1)*(u + 130)
Solve -w**5/11 - 19*w**4/11 - 48*w**3/11 + 4*w**2/11 + 64*w/11 = 0 for w.
-16, -2, 0, 1
Factor -11881*g**2/6 - 1526*g/3 - 98/3.
-(109*g + 14)**2/6
Factor -4*k**3 - 38908*k**2 - 94595072*k + 94633984.
-4*(k - 1)*(k + 4864)**2
Find w such that 3*w**3 + 75*w**2 + 264*w + 252 = 0.
-21, -2
Suppose 2*d**2/9 - 58*d/9 - 20/3 = 0. Calculate d.
-1, 30
Determine y, given that -5*y**4 - 25*y**3 - 15*y**2 + 25*y + 20 = 0.
-4, -1, 1
Solve -6*p**5 + 4*p**4 + 74*p**3 + 48*p**2 - 88*p - 32 = 0 for p.
-2, -1/3, 1, 4
Factor -q**3/6 - q**2/6 + q.
-q*(q - 2)*(q + 3)/6
Determine d so that 2*d**5/7 + 8*d**4/7 - 8*d**3/7 - 44*d**2/7 + 6*d/7 + 36/7 = 0.
-3, -1, 1, 2
Factor -x**3 - 22*x**2 + 100*x - 104.
-(x - 2)**2*(x + 26)
Determine x, given that -3*x**3 - 36*x**2 + 81*x - 42 = 0.
-14, 1
Solve 21*w**5 - 69*w**4 - 87*w**3 + 93*w**2 + 66*w - 24 = 0.
-1, 2/7, 1, 4
Suppose -2*c**4 + 146*c**3 - 558*c**2 + 414*c = 0. Calculate c.
0, 1, 3, 69
What is g in 2*g**3/7 - 4*g**2/7 - 16*g/7 = 0?
-2, 0, 4
Determine n so that -4*n**4/3 + 80*n**3/3 + 692*n**2/3 + 560*n + 432 = 0.
-3, -2, 27
Factor 2*y**3/3 + 62*y**2/3 + 176*y + 456.
2*(y + 6)**2*(y + 19)/3
Find u such that -2*u**2/7 + 52*u/7 = 0.
0, 26
Suppose -2*p**3 + 8*p**2 - 2*p - 12 = 0. What is p?
-1, 2, 3
What is s in 2*s**4/7 + 212*s**3/7 + 8280*s**2/7 + 140400*s/7 + 864000/7 = 0?
-30, -16
Find w such that 3*w**3 - 366*w**2 + 10788*w + 23064 = 0.
-2, 62
Factor -2*h**5/9 + 206*h**4/9 - 6932*h**3/9 + 71260*h**2/9 + 164150*h/9 + 85750/9.
-2*(h - 35)**3*(h + 1)**2/9
Factor v**4 + 175*v**3 + 172*v**2 - 348*v.
v*(v - 1)*(v + 2)*(v + 174)
Find n such that -n**2/7 + 6695*n/7 = 0.
0, 6695
Suppose -3*i**4 + 714*i**3 - 42483*i**2 = 0. What is i?
0, 119
Solve 2*a**3/11 - 58*a**2/11 - 188*a/11 - 128/11 = 0 for a.
-2, -1, 32
What is d in -2*d**3 + 8*d**2 + 2*d - 8 = 0?
-1, 1, 4
Factor r**2 - 662*r - 663.
(r - 663)*(r + 1)
Factor 4*f**3 + 24*f**2 + 32*f.
4*f*(f + 2)*(f + 4)
Factor 2*a**3/3 - 176*a**2/3 + 970*a/3 + 1148/3.
2*(a - 82)*(a - 7)*(a + 1)/3
Solve 8*u**5/9 + 2*u**4/3 - 226*u**3/9 + 24*u**2 + 344*u/9 - 32/3 = 0.
-6, -1, 1/4, 2, 4
Find i, given that -720*i**4 - 4444*i**3 - 7216*i**2 - 1068*i + 72 = 0.
-3, -2/9, 1/20
Factor 2*h**4 + 11*h**3/2 + 9*h**2/2 + h/2 - 1/2.
(h + 1)**3*(4*h - 1)/2
Determine h, given that 3*h**3 - 285*h**2 + 6000*h + 37500 = 0.
-5, 50
Factor -2*z**4 - 4*z**3 + 142*z**2 + 144*z.
-2*z*(z - 8)*(z + 1)*(z + 9)
Factor -2*h**5/13 - 628*h**4/13 - 66146*h**3/13 - 183088*h**2 - 351104*h - 173056.
-2*(h + 1)**2*(h + 104)**3/13
Factor 3*t**4/5 + 66*t**3/5 + 363*t**2/5.
3*t**2*(t + 11)**2/5
Determine c so that 9*c**2/5 - 8*c/5 = 0.
0, 8/9
Factor 2*i**3/7 + 118*i**2/7 + 1998*i/7 + 7290/7.
2*(i + 5)*(i + 27)**2/7
Suppose s**3/4 + 14*s**2 - 80*s - 9600 = 0. Calculate s.
-40, 24
Factor -4*n**2/3 + 136*n/3 - 44.
-4*(n - 33)*(n - 1)/3
Determine d, given that -2*d**5/9 + 8*d**4/9 - 8*d**3/9 - 4*d**2/9 + 10*d/9 - 4/9 = 0.
-1, 1, 2
What is x in x**5/10 + 17*x**4/10 - 257*x**3/10 + 411*x**2/10 + 828*x/5 + 486/5 = 0?
-27, -1, 6
What is i in -i**5/5 - 177*i**4/5 - 1719*i**3 - 68067*i**2/5 - 195048*i/5 - 190512/5 = 0?
-84, -3
Factor 3*g**2 - 36*g + 96.
3*(g - 8)*(g - 4)
Suppose -2*u**2 + 8*u - 6 = 0. What is u?
1, 3
Factor 4*s**4 - 340*s**3 - 2644*s**2 + 6292*s - 3312.
4*(s - 92)*(s - 1)**2*(s + 9)
Factor y**3/6 + 11*y**2/6 + 5*y/3.
y*(y + 1)*(y + 10)/6
Let -3*u**3 + 114*u**2 - 111*u = 0. Calculate u.
0, 1, 37
Suppose 3*r**5/4 - 15*r**4/4 - 63*r**3/4 - 69*r**2/4 - 6*r = 0. What is r?
-1, 0, 8
Solve -64*k**5 + 1440*k**4 - 8452*k**3 + 3960*k**2 - 484*k = 0 for k.
0, 1/4, 11
Factor -4*f**2/7 + 34520*f/7 - 74476900/7.
-4*(f - 4315)**2/7
Solve -2*g**3/7 - 960*g**2/7 - 153600*g/7 - 8192000/7 = 0.
-160
Suppose 3*m**2/5 + 252*m/5 + 5292/5 = 0. Calculate m.
-42
Let 16*z**5 - 124*z**4 + 352*z**3 - 416*z**2 + 128*z + 64 = 0. Calculate z.
-1/4, 2
Solve 4*n**3 + 16*n**2 + 16*n = 0.
-2, 0
Factor -2*p**5 - 294*p**4 - 1152*p**3 - 1144*p**2.
-2*p**2*(p + 2)**2*(p + 143)
Find q such that 4*q**4 - 16*q**3 + 12*q**2 = 0.
0, 1, 3
Factor -f**2 - 36*f - 324.
-(f + 18)**2
Find l such that -2*l**2/13 + 272*l/13 - 9248/13 = 0.
68
Find v such that -3*v**2 - 111*v = 0.
-37, 0
Factor 20*g**2/7 + 514*g/7 + 50.
2*(g + 25)*(10*g + 7)/7
Factor b**2/9 - 40*b/9 + 400/9.
(b - 20)**2/9
Find f, given that 2*f**4/3 + 10*f**3/3 - 8*f**2/3 - 40*f/3 = 0.
-5, -2, 0, 2
Determine y, given that -11*y**4/2 + 53*y**3/2 - 23*y**2/2 - 105*y/2 - 9 = 0.
-1, -2/11, 3
Factor -3*h**4 - h**3 + 88*h**2 - 84*h.
-h*(h - 1)*(h + 6)*(3*h - 14)
Determine j, given that -2*j**3 - 1032*j**2 + 2070*j - 1036 = 0.
-518, 1
Let -3*j**3/7 - 75*j**2/7 - 72*j - 432/7 = 0. Calculate j.
-12, -1
Factor -i**2 + 4*i - 3.
-(i - 3)*(i - 1)
Solve 4*i**3 + 4*i**2 = 0 for i.
-1, 0
Let 8*l**5/3 - 68*l**4/3 + 361*l**3/6 - 75*l**2/2 - 63*l/2 - 9/2 = 0. What is l?
-1/4, 3
Factor -3*a**2 - 195*a - 192.
-3*(a + 1)*(a + 64)
Suppose -2*x**5 - 6*x**4 - 2*x**3 + 6*x**2 + 4*x = 0. Calculate x.
-2, -1, 0, 1
Suppose -j**2/2 + 10*j + 189/2 = 0. Calculate j.
-7, 27
Factor m**2/7 + 262*m/7 - 528/7.
(m - 2)*(m + 264)/7
Factor -3*k**2/7 + 66*k/7 - 9.
-3*(k - 21)*(k - 1)/7
Solve -2*x**2 + 2*x + 12 = 0 for x.
-2, 3
Solve -f**5/4 + 3*f**4/4 + 5*f**3/4 - 15*f**2/4 - f + 3 = 0.
-2, -1, 1, 2, 3
Determine v, given that v**3/5 - 14*v**2/5 + 57*v/5 - 72/5 = 0.
3, 8
What is c in -5*c**4 - 155*c**3 - 685*c**2 - 925*c - 390 = 0?
-26, -3, -1
Factor -v**4/4 - v**3/4 + 21*v**2/4 + 41*v/4 + 5.
-(v - 5)*(v + 1)**2*(v + 4)/4
Factor -191*c**3 - 763*c**2/2 - 190*c + 1/2.
-(c + 1)**2*(382*c - 1)/2
What is z in -5*z**4 - 145*z**3 - 835*z**2 + 2125*z - 1140 = 0?
-19, -12, 1
Factor q**5/8 + 55*q**4/8 - 113*q**3/8 + 57*q**2/8.
q**2*(q - 1)**2*(q + 57)/8
Solve z**3/7 - 38*z**2/7 + 73*z/7 - 36/7 = 0.
1, 36
