 - 5*v**2/4 - v + 5.
(v - 5)*(v - 2)*(v + 2)/4
Let -f**5 + 14*f**4 - 45*f**3 + 52*f**2 - 20*f = 0. Calculate f.
0, 1, 2, 10
Factor -3*u**4 - 72*u**3 + 168*u**2 + 288*u - 624.
-3*(u - 2)**2*(u + 2)*(u + 26)
Factor -4*m**2/7 - 48*m/7 + 432/7.
-4*(m - 6)*(m + 18)/7
What is h in -h**4/4 + 3*h**3/4 + 9*h**2/4 - 23*h/4 + 3 = 0?
-3, 1, 4
Factor -g**2 + 24*g.
-g*(g - 24)
Find t such that 5*t**4/4 + 227*t**3/4 - 375*t**2/4 + 49*t/4 + 47/2 = 0.
-47, -2/5, 1
Solve 6*m**5 - 2734*m**4 + 308244*m**3 + 729596*m**2 + 523494*m + 104882 = 0 for m.
-1, -1/3, 229
Factor -2*x**3/7 + 2*x**2 + 20*x/7 - 32/7.
-2*(x - 8)*(x - 1)*(x + 2)/7
Solve 2*x**5 - 94*x**4 + 956*x**3 + 3452*x**2 + 3650*x + 1250 = 0 for x.
-1, 25
Factor j**3 - 3*j**2 - j + 3.
(j - 3)*(j - 1)*(j + 1)
Factor -8*a**3 + 25*a**2 - 3*a.
-a*(a - 3)*(8*a - 1)
Factor -4*q**2 - 264*q - 1440.
-4*(q + 6)*(q + 60)
Solve -x**4/7 - 128*x**3/7 - 35*x**2 + 878*x/7 - 72 = 0 for x.
-126, -4, 1
Find x such that -4*x**5 - 36*x**4 - 76*x**3 + 84*x**2 + 224*x - 192 = 0.
-4, -3, 1
Solve -12*n**5 + 69*n**4 + 318*n**3 + 291*n**2 + 54*n = 0 for n.
-2, -1, -1/4, 0, 9
Factor 2*q**2/11 + 94*q/11 - 96/11.
2*(q - 1)*(q + 48)/11
Solve 3*u**5 + 225*u**4 - 693*u**3 + 699*u**2 - 234*u = 0 for u.
-78, 0, 1
Factor a**4 - a**3 - 4*a**2 + 4*a.
a*(a - 2)*(a - 1)*(a + 2)
Let 4*d**3/5 - 32*d**2/5 + 16*d - 64/5 = 0. What is d?
2, 4
Factor j**4/3 + 28*j**3/3 + 116*j**2/3 - 1408*j/3 - 1024.
(j - 6)*(j + 2)*(j + 16)**2/3
Let 338*g**4 + 8684*g**3 + 5754*g**2 - 2392*g + 200 = 0. What is g?
-25, -1, 2/13
Factor -5*q**4/2 - 7*q**3/2 + 4*q**2 + 2*q.
-q*(q - 1)*(q + 2)*(5*q + 2)/2
Factor m**3/8 - 41*m**2/8 + 33*m.
m*(m - 33)*(m - 8)/8
Factor -60*h**3 - 295*h**2 + 375*h - 90.
-5*(h + 6)*(3*h - 1)*(4*h - 3)
What is u in 4*u**2/7 + 8*u/7 = 0?
-2, 0
Factor b**4/2 - 171*b**3/2 - 173*b**2/2 + 171*b/2 + 86.
(b - 172)*(b - 1)*(b + 1)**2/2
Let -f**2/2 - 195*f/2 + 918 = 0. Calculate f.
-204, 9
Factor -3*n**4 + 6*n**3 + 9*n**2 - 24*n + 12.
-3*(n - 2)*(n - 1)**2*(n + 2)
Solve -3*i**3 - 198*i**2 - 4356*i - 31944 = 0 for i.
-22
Solve 5*a**2 + 4165*a - 8350 = 0.
-835, 2
Solve 4*n**2/5 - 24*n/5 + 4 = 0 for n.
1, 5
Find w, given that -11*w**2/5 - 60*w - 81/5 = 0.
-27, -3/11
Find c, given that 6*c**5/11 + 8*c**4/11 - 142*c**3/11 + 168*c**2/11 + 72*c/11 = 0.
-6, -1/3, 0, 2, 3
Factor -5*v**4 + 25*v**3 + 110*v**2 + 80*v.
-5*v*(v - 8)*(v + 1)*(v + 2)
Determine t, given that -4*t**4 + 232*t**3 = 0.
0, 58
Solve -3*r**2 + 294*r - 7203 = 0 for r.
49
Let 2*j**3 - 492*j**2 + 31680*j - 172800 = 0. Calculate j.
6, 120
Factor -4*g**4/5 + 216*g**3/5 - 3492*g**2/5 + 15552*g/5 - 20736/5.
-4*(g - 24)**2*(g - 3)**2/5
What is h in 5*h**3 - 90*h**2 - 195*h - 100 = 0?
-1, 20
Factor 27*t**3 - 33*t**2 - 48*t + 12.
3*(t - 2)*(t + 1)*(9*t - 2)
Factor -2*h**2 - 4*h + 48.
-2*(h - 4)*(h + 6)
What is b in -b**5/7 - 131*b**4/7 - 37*b**3 - 129*b**2/7 = 0?
-129, -1, 0
Factor -5*l**4 + 25*l**3 - 5*l**2 - 105*l + 90.
-5*(l - 3)**2*(l - 1)*(l + 2)
Suppose 3*w**2 + 204*w + 3468 = 0. Calculate w.
-34
Factor 5*c**4 - 110*c**3 + 380*c**2 - 360*c.
5*c*(c - 18)*(c - 2)**2
Factor l**2 + 2050*l + 1050625.
(l + 1025)**2
Factor -4*v**2 - 72*v + 160.
-4*(v - 2)*(v + 20)
Let -3*j**2/2 + 6*j + 18 = 0. Calculate j.
-2, 6
Suppose -j**5 + 3*j**4 + 5*j**3 - 15*j**2 - 4*j + 12 = 0. Calculate j.
-2, -1, 1, 2, 3
Factor 37845*k**3 + 41325*k**2 + 3560*k + 80.
5*(k + 1)*(87*k + 4)**2
Factor 66*s**3/7 + 32*s**2/7 - 8*s/7.
2*s*(3*s + 2)*(11*s - 2)/7
Factor -g**4 + 35*g**3 + 73*g**2 + 37*g.
-g*(g - 37)*(g + 1)**2
Determine v so that v**5 - 14*v**4 + 26*v**3 + 92*v**2 - 147*v - 198 = 0.
-2, -1, 3, 11
Solve -4*p**5 - 76*p**4 - 456*p**3 - 1024*p**2 - 640*p = 0 for p.
-10, -4, -1, 0
Find y, given that y**5/2 + 37*y**4 - 3*y**3/2 - 112*y**2 - 74*y = 0.
-74, -1, 0, 2
Factor 4*r**3 - 2*r**2 - 144*r + 72.
2*(r - 6)*(r + 6)*(2*r - 1)
Suppose -49*o**5 + 210*o**4 - 106*o**3 - 276*o**2 + 83*o - 6 = 0. Calculate o.
-1, 1/7, 2, 3
Factor -g**3 + 101*g**2 + 416*g + 420.
-(g - 105)*(g + 2)**2
Factor y**3/8 - 2049*y**2/8 + 1399467*y/8 - 318611987/8.
(y - 683)**3/8
Determine h so that -5*h**5 - 75*h**4 + 10*h**3 + 150*h**2 - 5*h - 75 = 0.
-15, -1, 1
Solve -4*a**3 - 148*a**2 - 268*a + 420 = 0.
-35, -3, 1
Suppose 2*n**4/5 + 26*n**3/5 + 22*n**2/5 - 26*n/5 - 24/5 = 0. Calculate n.
-12, -1, 1
Determine g so that -g**4/2 - 145*g**3 - 21313*g**2/2 - 20880*g - 10368 = 0.
-144, -1
Suppose 4*o**5 + 1484*o**4/3 - 1176*o**3 + 16*o**2/3 + 672*o = 0. Calculate o.
-126, -2/3, 0, 1, 2
Determine k so that 5*k**5 - 5*k**4 - 15*k**3 + 25*k**2 - 10*k = 0.
-2, 0, 1
Find z such that -300*z**5 - 1760*z**4 + 452*z**3 + 1160*z**2 - 656*z + 96 = 0.
-6, -1, 1/3, 2/5
Factor -2*q**3 + 62*q**2.
-2*q**2*(q - 31)
Suppose -3*m**2 + 112*m + 236 = 0. What is m?
-2, 118/3
Factor 594*l**4/13 + 51138*l**3/13 + 1485630*l**2/13 + 15071350*l/13 + 14739000/13.
2*(3*l + 85)**3*(11*l + 12)/13
Factor 5*m**2 + 135*m.
5*m*(m + 27)
Factor -2*d**2/7 + 144*d/7 - 40.
-2*(d - 70)*(d - 2)/7
Solve t**3/3 + 41*t**2/3 + 544*t/3 + 768 = 0.
-16, -9
Determine u so that 1010*u**4 - 36364*u**3/9 + 45466*u**2/9 - 18200*u/9 + 8/9 = 0.
2/4545, 1, 2
Factor 2*h**2 + 22*h + 20.
2*(h + 1)*(h + 10)
Factor -2*b**2/13 + 28*b/13 - 66/13.
-2*(b - 11)*(b - 3)/13
Factor -2*x**4/3 - 58*x**3/3 - 110*x**2/3 - 18*x.
-2*x*(x + 1)**2*(x + 27)/3
Let 5*g**2 + 555*g + 1090 = 0. Calculate g.
-109, -2
Factor 4*s**3 + 136*s**2 - 284*s + 144.
4*(s - 1)**2*(s + 36)
Determine n so that -2*n**2 + 608*n - 606 = 0.
1, 303
Factor -l**2 - 560*l - 78400.
-(l + 280)**2
Determine y, given that 2*y**4 + 54*y**3 - 962*y**2 - 1014*y = 0.
-39, -1, 0, 13
Factor 2*m**5/5 - 2*m**3/5.
2*m**3*(m - 1)*(m + 1)/5
Solve -l**5/5 + 2*l**4/5 + 18*l**3/5 + 32*l**2/5 + 23*l/5 + 6/5 = 0.
-1, 6
Find u, given that 3*u**5 - 120*u**4 - 1152*u**3 = 0.
-8, 0, 48
Suppose 2*p**4/9 + 16*p**3/9 + 26*p**2/9 + 4*p/3 = 0. Calculate p.
-6, -1, 0
Find t, given that -2*t**4/7 - 342*t**3/7 - 338*t**2/7 + 342*t/7 + 340/7 = 0.
-170, -1, 1
Factor -4*b**2 - 168*b - 1764.
-4*(b + 21)**2
Factor -5*d**4 - 40*d**3 - 90*d**2 - 80*d - 25.
-5*(d + 1)**3*(d + 5)
Suppose 3*v**4 - 60*v**3 + 384*v**2 - 768*v = 0. What is v?
0, 4, 8
Determine w so that -w**3 - 2*w**2 + 85*w + 350 = 0.
-7, -5, 10
Factor -2*q**2/9 + 140*q + 1262/9.
-2*(q - 631)*(q + 1)/9
Let 72*i**3 - 192*i**2 + 170*i - 50 = 0. Calculate i.
5/6, 1
Factor m**2/4 + 43*m/4 + 21/2.
(m + 1)*(m + 42)/4
Find j such that j**3/4 + 69*j**2/4 + 296*j = 0.
-37, -32, 0
Solve -35*h**4 - 480*h**3 - 595*h**2 + 1470*h - 360 = 0 for h.
-12, -3, 2/7, 1
Find f such that -4*f**3 - 527*f**2/3 - 472*f/3 + 43/3 = 0.
-43, -1, 1/12
Factor 3*o**2 + 18*o + 27.
3*(o + 3)**2
Suppose 46*g**2/7 - 412*g/7 - 18/7 = 0. What is g?
-1/23, 9
Let -l**4/6 + l**3/6 + 23*l**2/6 + l/2 - 15 = 0. Calculate l.
-3, 2, 5
Factor -5*v**2 - 110*v - 360.
-5*(v + 4)*(v + 18)
Let -3*g**2/7 - 10*g/7 + 8/7 = 0. What is g?
-4, 2/3
Factor -4*g**4 + 8*g**3 + 32*g**2 - 72*g + 36.
-4*(g - 3)*(g - 1)**2*(g + 3)
Let 4*d**4 - 40*d**3 - 60*d**2 + 160*d + 176 = 0. What is d?
-2, -1, 2, 11
Let 5*t**5 + 425*t**4 + 6950*t**3 - 86850*t**2 + 285525*t - 298215 = 0. What is t?
-47, 3
Factor 5*l**4/4 + 269*l**3/2 + 4806*l**2 + 56376*l - 23328.
(l + 36)**3*(5*l - 2)/4
Factor -5*b**2/3 - 40*b/3 - 35/3.
-5*(b + 1)*(b + 7)/3
Determine c, given that -c**2/7 - 2041*c/7 + 2042/7 = 0.
-2042, 1
Factor 5*z**3 + 305*z**2 - 1285*z + 975.
5*(z - 3)*(z - 1)*(z + 65)
Factor 2*x**4/11 + 8*x**3/11 - 70*x**2/11 - 300*x/11.
2*x*(x - 6)*(x + 5)**2/11
Factor -5*d**2 - 21*d + 20.
-(d + 5)*(5*d - 4)
Factor 5*p**4 - 1290*p**3 + 80565*p**2 + 343220*p.
5*p*(p - 131)**2*(p + 4)
Find d, given that d**2/4 + 185*d/4 + 46 = 0.
-184, -1
Factor z**5/3 + z**4 - z**3 - 7*z**2/3 + 2*z.
z*(z - 1)**2*(z + 2)*(z + 3)/3
Factor z**3 - 7*z**2 + 10*z.
z*(z - 5)*(z - 2)
Suppose -4*f**5/5 - 8*f**4/5 + 72*f**3/5 + 272*f**2/5 + 316*f/5 + 24 = 0. Calculate f.
-3, -2, -1, 5
Suppose -3*b**3 - 24*b**2 = 0. What is b?
-8, 0
Let -2*w**4 + 12*w**2 + 16*w + 6 = 0. Calculate w.
-1, 3
Factor -2*u**2/19 - 78*u/19 - 4.
-2*(u + 1)*(u + 38)/19
Factor -h**2/3 - 10*h/3 + 11/3.
-(h - 1)*(h + 11)/3
Factor -a**2/2 + 12*a + 1377/2.
-(a - 51)*(a + 27)/2
Solve -3*n**4 - 15*n**3 + 18*n**2 + 96*n - 96 = 0.
-4, 1, 2
Factor l**3/4 + 21*l**2/4 - 27*l/2 - 46.
(l - 4)*(