3, 3/5, 17
Factor q**5 - 431*q**4 - 2171*q**3 - 3917*q**2 - 3050*q - 872.
(q - 436)*(q + 1)**3*(q + 2)
Let -3*f**4 + 6*f**3 + 45*f**2 - 108*f = 0. Calculate f.
-4, 0, 3
Solve -3*g**4/7 - 3*g**3/7 + 120*g**2/7 + 48*g = 0 for g.
-4, 0, 7
Solve 2*i**3/13 + 2*i**2/13 - 42*i/13 - 90/13 = 0 for i.
-3, 5
Factor -a**5 + 5*a**4 - 4*a**3 - 16*a**2 + 32*a - 16.
-(a - 2)**3*(a - 1)*(a + 2)
Suppose -2*g**3/7 - 142*g**2/7 + 906*g/7 - 198 = 0. Calculate g.
-77, 3
Let 2*z**2/9 - 10*z/3 - 32/9 = 0. Calculate z.
-1, 16
Suppose -2*p**2/5 + 346*p - 1728/5 = 0. Calculate p.
1, 864
Factor j**3/2 + 9*j**2/2 - 32*j + 42.
(j - 3)*(j - 2)*(j + 14)/2
Factor a**4/4 + 91*a**3 - 2963*a**2/4 + 2415*a/2 - 558.
(a - 6)*(a - 1)**2*(a + 372)/4
Suppose -2*z**2/11 - 6*z/11 + 8/11 = 0. Calculate z.
-4, 1
Determine m so that 69*m**2 + 1431*m - 378 = 0.
-21, 6/23
Factor d**4/3 - d**3/3 - 7*d**2 + 41*d/3 - 20/3.
(d - 4)*(d - 1)**2*(d + 5)/3
Solve 5*t**2 + 309*t - 62 = 0.
-62, 1/5
Determine w so that -w**2/4 - 91*w - 8281 = 0.
-182
Find x such that x**4/4 + 2*x**3 + 3*x**2 - 8*x - 16 = 0.
-4, -2, 2
Factor x**3/11 - 24*x**2/11 + 131*x/11 + 156/11.
(x - 13)*(x - 12)*(x + 1)/11
Determine v so that 9*v**5 - 21*v**4 - 153*v**3 - 243*v**2 - 156*v - 36 = 0.
-1, -2/3, 6
Determine o, given that 84*o**5 - 650*o**4/3 + 182*o**3 - 146*o**2/3 - 2*o + 4/3 = 0.
-1/7, 2/9, 1/2, 1
Let -4*g**4 + 28*g**3 + 192*g**2 - 112*g - 704 = 0. Calculate g.
-4, -2, 2, 11
Solve 3*h**4/2 - 9*h**3 - 27*h**2/2 + 21*h = 0 for h.
-2, 0, 1, 7
Determine f, given that -f**2/5 - 10376*f/5 - 26915344/5 = 0.
-5188
Determine p, given that 2*p**3 + 8*p**2 - 238*p + 588 = 0.
-14, 3, 7
Factor -y**2/5 + 3*y/5 + 2.
-(y - 5)*(y + 2)/5
What is w in w**2 + 8838*w + 19527561 = 0?
-4419
Factor 20*x**2 + 36*x - 8.
4*(x + 2)*(5*x - 1)
Solve i**4/2 - 5*i**3/4 + i**2/4 + i/2 = 0.
-1/2, 0, 1, 2
Factor -27*o**3/4 - 25*o**2/4 + o/2.
-o*(o + 1)*(27*o - 2)/4
Factor -q**3/3 + 13*q**2/3 + 28*q + 36.
-(q - 18)*(q + 2)*(q + 3)/3
Solve c**5/5 + 5*c**4 + 47*c**3 + 207*c**2 + 432*c + 1728/5 = 0.
-8, -3
Factor m**4/4 + 787*m**3/4 + 1571*m**2/4 + 785*m/4.
m*(m + 1)**2*(m + 785)/4
Factor 3*m**2/5 + 9*m/5 - 162/5.
3*(m - 6)*(m + 9)/5
Factor -5*t**5/8 + 11*t**4/8 - 7*t**3/8 + t**2/8.
-t**2*(t - 1)**2*(5*t - 1)/8
Factor 2*f**2 + 18*f - 180.
2*(f - 6)*(f + 15)
Suppose -3*p**4/5 + 3*p**3/5 + 3*p**2 + 9*p/5 = 0. What is p?
-1, 0, 3
Factor 10*x**2 - 8728*x - 1746.
2*(x - 873)*(5*x + 1)
Factor 2*b**2/19 + 270*b/19 + 1548/19.
2*(b + 6)*(b + 129)/19
Factor -4*p**2 + 292*p - 2080.
-4*(p - 65)*(p - 8)
Factor -d**5/7 + d**4/7 + 3*d**3 + 47*d**2/7 + 40*d/7 + 12/7.
-(d - 6)*(d + 1)**3*(d + 2)/7
Factor -10*a**3/7 + 2204*a**2/7 - 880*a/7.
-2*a*(a - 220)*(5*a - 2)/7
Factor -w**5 + 1660*w**4 - 1102240*w**3 + 365943680*w**2 - 60746650880*w + 4033577618432.
-(w - 332)**5
Factor -n**4 + 5*n**3 + 22*n**2 - 116*n + 120.
-(n - 6)*(n - 2)**2*(n + 5)
Solve -s**4/2 - 47*s**3/2 - 575*s**2/2 - 529*s/2 = 0.
-23, -1, 0
Factor 4*b**4 + 672*b**3 + 2612*b**2 - 2040*b - 11808.
4*(b - 2)*(b + 3)**2*(b + 164)
Factor -2*m**2/3 + 2*m + 80/3.
-2*(m - 8)*(m + 5)/3
Factor 3*g**4 - 24*g**3 + 63*g**2 - 66*g + 24.
3*(g - 4)*(g - 2)*(g - 1)**2
Factor -3*h**2 - 18*h - 24.
-3*(h + 2)*(h + 4)
Factor -2*l**3/11 - 10*l**2/11 - 14*l/11 - 6/11.
-2*(l + 1)**2*(l + 3)/11
Find z, given that 3*z**4 + 103*z**3 + 467*z**2 + 77*z - 290 = 0.
-29, -5, -1, 2/3
Suppose -4*q**3/7 - 260*q**2/7 = 0. Calculate q.
-65, 0
Solve s**2/4 + 3*s + 11/4 = 0.
-11, -1
Factor -3*g**3 - 75*g**2 + 339*g - 261.
-3*(g - 3)*(g - 1)*(g + 29)
Determine j, given that j**4/4 + 143*j**3/4 + 2661*j**2/2 + 3745*j + 2450 = 0.
-70, -2, -1
Factor -2*m**2 + 5566*m + 5568.
-2*(m - 2784)*(m + 1)
Determine p, given that -2*p**5/3 - 16*p**4/3 + 518*p**3/3 - 2156*p**2/3 = 0.
-22, 0, 7
Find c, given that -3*c**4 - 60*c**3 - 321*c**2 - 156*c + 540 = 0.
-10, -9, -2, 1
Let -4*v**5/9 + 4*v**4/3 + 4*v**3/9 - 4*v**2/3 = 0. What is v?
-1, 0, 1, 3
Suppose i**5/8 + 109*i**4/8 + 319*i**3/8 + 103*i**2/8 - 40*i - 53/2 = 0. What is i?
-106, -2, -1, 1
Solve j**4 - 288*j**3 - 3*j**2 + 862*j + 576 = 0 for j.
-1, 2, 288
Factor -4*x**4 + 36*x**3 - 116*x**2 + 156*x - 72.
-4*(x - 3)**2*(x - 2)*(x - 1)
Factor -3*c**4/2 + 9*c**3 + 45*c**2/2 + 12*c.
-3*c*(c - 8)*(c + 1)**2/2
Factor -h**5/7 + 11*h**4/7 - 27*h**3/7 + 25*h**2/7 - 8*h/7.
-h*(h - 8)*(h - 1)**3/7
Let -3*r**2/5 - 1122*r/5 - 104907/5 = 0. What is r?
-187
Factor -15646418*q**2/7 + 33564*q/7 - 18/7.
-2*(2797*q - 3)**2/7
What is q in 4*q**3 + 12*q**2 - 24*q - 32 = 0?
-4, -1, 2
Find s, given that -5*s**5 - 35*s**4 + 160*s**3 + 40*s**2 - 560*s + 400 = 0.
-10, -2, 1, 2
Suppose 44*z**5 + 136*z**4 + 12*z**3 - 176*z**2 - 16*z = 0. What is z?
-2, -1/11, 0, 1
Factor 4*g**2 + 140*g + 136.
4*(g + 1)*(g + 34)
Factor c**3/9 + 5*c**2/9 + c/3 - 1.
(c - 1)*(c + 3)**2/9
Factor -3*t**3 + 39*t**2 - 66*t.
-3*t*(t - 11)*(t - 2)
Factor -m**3/5 - 48*m**2/5 - 105*m - 1666/5.
-(m + 7)**2*(m + 34)/5
Factor 2*x**3 - 33804*x**2/5 + 5714904*x - 2284880.
2*(x - 1690)**2*(5*x - 2)/5
Let 48600*j**3/7 + 1485*j**2 + 636*j/7 + 12/7 = 0. Calculate j.
-1/8, -2/45
Factor 2*a**4 + 232*a**3 - 470*a**2 + 236*a.
2*a*(a - 1)**2*(a + 118)
Find k such that 5*k**3/6 + 44*k**2/3 - 118*k/3 + 40/3 = 0.
-20, 2/5, 2
What is b in -b**5/8 - 3*b**4/8 + b**3/4 + 3*b**2/4 - b/8 - 3/8 = 0?
-3, -1, 1
Let 4*d**5/5 + 112*d**4/5 + 60*d**3 - 16*d**2/5 - 80*d = 0. What is d?
-25, -2, 0, 1
Suppose 45*p**5/4 - 211*p**4/2 + 1029*p**3/4 - 32*p**2 - 111*p - 20 = 0. What is p?
-2/5, -2/9, 1, 4, 5
Factor 3*y**4 - 114*y**3 + 768*y**2 - 1440*y.
3*y*(y - 30)*(y - 4)**2
Find c such that -3*c**3/2 - 165*c**2/2 - 2241*c/2 - 8991/2 = 0.
-37, -9
Factor 5*n**3 + 350*n**2 - 4740*n + 14760.
5*(n - 6)**2*(n + 82)
Factor -n**2/4 + 9*n/4 + 45/2.
-(n - 15)*(n + 6)/4
Factor -i**2/6 - 170*i - 43350.
-(i + 510)**2/6
Factor -11*m**4/4 - 87*m**3/4 - 42*m**2 + 4*m.
-m*(m + 4)**2*(11*m - 1)/4
Suppose -10*g**3 - 8*g**2 + 22*g - 4 = 0. Calculate g.
-2, 1/5, 1
Determine c, given that -5*c**5 + 70*c**4 + 90*c**3 - 220*c**2 - 85*c + 150 = 0.
-2, -1, 1, 15
Factor 243*a**4 + 2376*a**3 + 5808*a**2.
3*a**2*(9*a + 44)**2
Factor -3*j**2 + 33*j - 30.
-3*(j - 10)*(j - 1)
Let -2*f**4/7 + 4*f**3 - 72*f**2/7 + 68*f/7 - 22/7 = 0. Calculate f.
1, 11
Solve o**4/4 + 39*o**3/4 + 139*o**2/2 + 60*o = 0.
-30, -8, -1, 0
Let -4*t**3 + 388*t**2 = 0. What is t?
0, 97
Solve 255*f**2 + 507*f - 6 = 0 for f.
-2, 1/85
Factor -2*t**4/9 - 220*t**3/9 + 152*t**2 - 2768*t/9 + 1856/9.
-2*(t - 2)**3*(t + 116)/9
Determine z, given that -8*z**5/3 + 54*z**4/5 + 38*z**3/5 - 734*z**2/15 + 2*z + 12/5 = 0.
-2, -1/5, 1/4, 3
What is l in 80*l**2 - 92*l + 24 = 0?
2/5, 3/4
Factor 3*w**3 + 3*w**2 - 12*w - 12.
3*(w - 2)*(w + 1)*(w + 2)
Solve -272*o**5/5 - 284*o**4/5 + 552*o**3/5 + 44*o**2/5 - 8*o = 0 for o.
-2, -5/17, 0, 1/4, 1
Factor -2*v**3 - 16*v**2 + 374*v + 3388.
-2*(v - 14)*(v + 11)**2
What is t in 3495*t**2 + 6985*t - 10 = 0?
-2, 1/699
Factor 3*y**3/5 + 672*y**2/5.
3*y**2*(y + 224)/5
Factor 3*l**2 + 336*l.
3*l*(l + 112)
Find c, given that c**4/7 - 24*c**3/7 - 52*c**2/7 = 0.
-2, 0, 26
Factor 2*o**4 - 39*o**3/2 - 27*o**2 - 11*o/2.
o*(o - 11)*(o + 1)*(4*o + 1)/2
Suppose -m**2/10 - 2*m/5 = 0. What is m?
-4, 0
Factor -2*h**4 - 1040*h**3 - 138266*h**2 - 792588*h.
-2*h*(h + 6)*(h + 257)**2
Factor 176*y**2 - 172*y + 32.
4*(4*y - 1)*(11*y - 8)
Let 9*s**4/2 + 213*s**3 + 4897*s**2/2 - 1704*s + 288 = 0. Calculate s.
-24, 1/3
Factor -5*x**5 + 275*x**4 - 5705*x**3 + 54225*x**2 - 222750*x + 270000.
-5*(x - 15)**3*(x - 8)*(x - 2)
Solve q**5/6 - q**4/3 - 7*q**3/6 - 2*q**2/3 = 0 for q.
-1, 0, 4
Factor 3*a**4/8 - 27*a**3/8 + 69*a**2/8 - 45*a/8.
3*a*(a - 5)*(a - 3)*(a - 1)/8
Solve -3136*z**5 + 15344*z**4 + 20592*z**3 + 1532*z**2 - 556*z + 24 = 0 for z.
-1, -1/4, 1/14, 6
Factor -y**3/2 + 26*y**2 + 281*y/2 + 114.
-(y - 57)*(y + 1)*(y + 4)/2
Factor -u**5/5 - 6*u**4/5 - 2*u**3/5 + 4*u**2 + 27*u/5 + 2.
-(u - 2)*(u + 1)**3*(u + 5)/5
Factor -f**5/3 - 6*f**4 + 2*f**3 + 116*f**2/3 + 49*f + 18.
-(f - 3)*(f + 1)**3*(f + 18)/3
Solve 3*m**2 + 360*m + 10800 = 0 for m.
-60
Factor 12*r**4 + 94*r**3 + 140*r**2 + 46*r - 12.
2*(r + 1)**2*(r + 6)*(6*r - 1)
Find d, given that 3*d**3 - 198*d**2 + 1539*d = 0.
0, 9, 57
Let -2*b**3/11 + 14*b**2/11 = 0. Calculate b.
0, 7
Determine u, given that u