2 + 22*k + 12.
-(k - 6)*(k + 1)*(k + 2)**2/2
Find h such that -h**4/2 + 248*h**3 + 1500*h**2 + 3008*h + 2008 = 0.
-2, 502
Factor -4394*b**4 - 50362*b**3 - 22620*b**2 - 3448*b - 176.
-2*(b + 11)*(13*b + 2)**3
Solve 2*g**3/3 + 14*g**2/3 + 20*g/3 = 0.
-5, -2, 0
Factor -10*i**3 + 865*i**2 - 18920*i + 9245.
-5*(i - 43)**2*(2*i - 1)
Factor 5*l**2 - 5*l.
5*l*(l - 1)
Factor -6*r**2 - 429*r/5 - 126/5.
-3*(r + 14)*(10*r + 3)/5
Factor x**4/2 + 25*x**3/2 + 56*x**2 - 294*x.
x*(x - 3)*(x + 14)**2/2
Solve -4131*x**5/4 - 54*x**4 + 3189*x**3/4 + 553*x**2/2 + 15*x - 2 = 0 for x.
-2/3, -2/9, 1/17, 1
Determine a so that 28*a**4 + 344*a**3 + 1356*a**2 + 1760*a + 400 = 0.
-5, -2, -2/7
Factor -4*v**3/5 + 316*v**2/5 - 6396*v/5 + 6084/5.
-4*(v - 39)**2*(v - 1)/5
Factor 4*x**3 + 104*x**2 + 768*x + 1152.
4*(x + 2)*(x + 12)**2
Factor -5*m**2 + 105*m.
-5*m*(m - 21)
Determine y, given that 2*y**2 - 86*y = 0.
0, 43
Factor -v**2 - 17*v + 1568.
-(v - 32)*(v + 49)
Factor 6*s**5 - 2*s**4 - 36*s**3 + 60*s**2 - 34*s + 6.
2*(s - 1)**3*(s + 3)*(3*s - 1)
Solve 10*h**5 - 94*h**4 + 186*h**3 - 130*h**2 + 28*h = 0.
0, 2/5, 1, 7
Factor 8*f**3/5 - 726*f**2/5 - 2438*f/5 - 564/5.
2*(f - 94)*(f + 3)*(4*f + 1)/5
Solve 2*n**4/7 + 26*n**3/7 + 10*n**2 - 14*n = 0.
-7, 0, 1
Solve -2*t**4/5 - 38*t**3/5 + 318*t**2/5 + 422*t/5 - 140 = 0 for t.
-25, -2, 1, 7
Determine r so that 2*r**2/13 - 10*r = 0.
0, 65
Solve 2*z**5/11 + 1600*z**4/11 + 512000*z**3/11 + 81920000*z**2/11 + 6553600000*z/11 + 209715200000/11 = 0.
-160
Determine a so that 5*a**5 + 20*a**4 - 80*a**2 - 80*a = 0.
-2, 0, 2
Find b such that b**2/3 - 13*b/3 + 14 = 0.
6, 7
Factor -5*l**4 - 745*l**3 - 2205*l**2 - 2195*l - 730.
-5*(l + 1)**3*(l + 146)
Determine h so that -2*h**5/5 + 56*h**4/5 + 78*h**3/5 - 596*h**2/5 + 464*h/5 = 0.
-4, 0, 1, 2, 29
Solve -2*q**4/7 - 6*q**3/7 + 32*q**2/7 - 24*q/7 = 0 for q.
-6, 0, 1, 2
Find r, given that 5*r**2 - 45*r - 180 = 0.
-3, 12
Factor -2*k**2/3 - 16*k/3 + 256/3.
-2*(k - 8)*(k + 16)/3
Let -2*b**3 + 8*b**2 - 2*b - 12 = 0. What is b?
-1, 2, 3
Factor -2*o**3/3 + 226*o**2/3 - 148*o.
-2*o*(o - 111)*(o - 2)/3
Suppose -p**2/2 + 11*p - 57/2 = 0. Calculate p.
3, 19
Factor 2*f**2 - 2158*f.
2*f*(f - 1079)
Suppose -4*p**3 + 1924*p**2 - 3836*p + 1916 = 0. Calculate p.
1, 479
Let 5*q**2 - 80*q - 1680 = 0. Calculate q.
-12, 28
Solve p**3 - 153*p**2 - 625*p - 471 = 0 for p.
-3, -1, 157
Suppose -2*p**3/9 + 2*p**2/3 + 2*p + 10/9 = 0. Calculate p.
-1, 5
Factor g**4 + 56*g**3.
g**3*(g + 56)
Factor -2*t**4/7 - 390*t**3/7 + 56*t**2.
-2*t**2*(t - 1)*(t + 196)/7
Factor 2*f**3/5 - 14*f**2 + 150*f - 450.
2*(f - 15)**2*(f - 5)/5
Factor -3*k**3 + 72*k**2/7 - 27*k/7.
-3*k*(k - 3)*(7*k - 3)/7
Solve d**5 - 5*d**3 + 4*d = 0.
-2, -1, 0, 1, 2
Factor -4*u**3 + 60*u**2 + 64*u.
-4*u*(u - 16)*(u + 1)
Find j such that 16*j**5 + 52*j**4 - 4*j**3 - 52*j**2 - 12*j = 0.
-3, -1, -1/4, 0, 1
Determine y, given that 5*y**3 - 110*y**2 + 95*y + 210 = 0.
-1, 2, 21
Factor -3*l**5 + 42*l**4 + 45*l**3.
-3*l**3*(l - 15)*(l + 1)
Determine p so that 5*p**2 - 60*p - 65 = 0.
-1, 13
Determine f so that -2*f**3/9 - 70*f**2/3 + 2*f/9 + 70/3 = 0.
-105, -1, 1
Let q**3/2 - 36*q**2 - 633*q/2 - 280 = 0. Calculate q.
-7, -1, 80
Solve -h**2 + 44*h + 141 = 0.
-3, 47
Factor 5*x**5 + 30*x**4 - 245*x**3 + 350*x**2 + 180*x - 440.
5*(x - 2)**3*(x + 1)*(x + 11)
Solve -115*q**2/4 - 37*q - 3 = 0.
-6/5, -2/23
Factor -2*h**3/9 - 86*h**2/9 - 28*h/3.
-2*h*(h + 1)*(h + 42)/9
Suppose -s**2/4 - 89*s/4 = 0. What is s?
-89, 0
Factor -m**2/7 - 1142*m/7 - 326041/7.
-(m + 571)**2/7
Factor 2*g**2/7 + 1502*g/7 - 3012/7.
2*(g - 2)*(g + 753)/7
Find g such that g**3 - 15*g**2 + 8*g + 84 = 0.
-2, 3, 14
Factor g**3/3 - g**2 - 10*g/3 + 8.
(g - 4)*(g - 2)*(g + 3)/3
Factor 4*z**5/3 + 20*z**4 + 36*z**3 + 52*z**2/3.
4*z**2*(z + 1)**2*(z + 13)/3
Factor m**3 - 6*m**2 - 4*m + 24.
(m - 6)*(m - 2)*(m + 2)
Factor 2*h**5 + 114*h**4 + 222*h**3 + 110*h**2.
2*h**2*(h + 1)**2*(h + 55)
Solve -5*i**3 + 6475*i**2 - 12930*i = 0 for i.
0, 2, 1293
Let 3*g**3 + 1764*g**2 + 259308*g = 0. What is g?
-294, 0
Let k**3 - 11*k**2/3 + 5*k/3 + 1 = 0. Calculate k.
-1/3, 1, 3
Factor -j**4/2 - 904*j**3 - 409511*j**2 - 816312*j - 815409/2.
-(j + 1)**2*(j + 903)**2/2
Factor -196*h**3/9 - 2492*h**2/3 - 28768*h/3 - 269120/9.
-4*(h + 5)*(7*h + 116)**2/9
Factor z**4/9 - 149*z**3/9 - 151*z**2/9 + 149*z/9 + 50/3.
(z - 150)*(z - 1)*(z + 1)**2/9
Solve s**3/4 + 1759*s**2/4 + 193160*s - 193600 = 0 for s.
-880, 1
Factor p**3/2 - 2*p**2 - 19*p/2 - 7.
(p - 7)*(p + 1)*(p + 2)/2
Factor 14*s**5/11 + 18*s**4/11 + 4*s**3/11.
2*s**3*(s + 1)*(7*s + 2)/11
Factor -4*j**4 + 256*j**3 - 740*j**2 + 488*j.
-4*j*(j - 61)*(j - 2)*(j - 1)
Let -48*d**3 - 285*d**2 - 414*d + 27 = 0. Calculate d.
-3, 1/16
Determine g, given that 2*g**2 - 20*g = 0.
0, 10
Find y such that -165*y**3 + 14589*y**2 + 8532*y + 1068 = 0.
-2/5, -2/11, 89
Let 10*z**4/7 + 82*z**3 - 352*z**2/7 - 232*z/7 = 0. What is z?
-58, -2/5, 0, 1
Factor 2*t**2/3 - 36*t + 208/3.
2*(t - 52)*(t - 2)/3
Solve 5*s**3/7 - 267*s**2/7 + 366*s/7 - 104/7 = 0.
2/5, 1, 52
Factor -2*a**2/5 - 68*a/5 - 128/5.
-2*(a + 2)*(a + 32)/5
Determine k so that 2*k**2/3 + 26*k + 240 = 0.
-24, -15
Determine v so that 2*v**3/5 + 8*v**2 - 42*v/5 = 0.
-21, 0, 1
Solve -3*x**5/7 - 57*x**4/7 - 234*x**3/7 + 912*x**2/7 + 4224*x/7 - 9216/7 = 0.
-8, 2, 3
Factor u**2/2 - u - 35/2.
(u - 7)*(u + 5)/2
Factor -4*t**3 + 36*t**2 - 24*t - 64.
-4*(t - 8)*(t - 2)*(t + 1)
Factor -2*m**3 - 514*m**2 - 33280*m - 32768.
-2*(m + 1)*(m + 128)**2
Factor -2*t**5 - 52*t**4 + 54*t**3.
-2*t**3*(t - 1)*(t + 27)
Factor 2*s**2/3 - 604*s/3 + 45602/3.
2*(s - 151)**2/3
Factor -c**2 + 5*c + 6.
-(c - 6)*(c + 1)
Factor -5*k**4 + 55*k**2 - 90*k + 40.
-5*(k - 2)*(k - 1)**2*(k + 4)
Solve -10*y**2 + 6*y + 4 = 0 for y.
-2/5, 1
Find b such that 49*b**5/2 + 805*b**4/2 - 677*b**3 + 286*b**2 - 36*b = 0.
-18, 0, 2/7, 1
Find v, given that v**4 - 2*v**3 - 15*v**2 = 0.
-3, 0, 5
Factor 3*s**3 + 393*s**2 - 10728*s + 66960.
3*(s - 12)**2*(s + 155)
Factor -3*v**4 - 663*v**3 - 49275*v**2 - 1262973*v - 2334102.
-3*(v + 2)*(v + 73)**3
Determine z so that -49*z**5/2 - 1043*z**4 - 12350*z**3 - 26404*z**2 - 12160*z - 1600 = 0.
-20, -2, -2/7
Determine a, given that -5*a**3 + 5*a**2 + 5*a - 5 = 0.
-1, 1
Factor 2*c**2/5 + 96*c + 478/5.
2*(c + 1)*(c + 239)/5
Suppose h**3 + 15*h**2 - h - 15 = 0. Calculate h.
-15, -1, 1
Factor -2*x**5/5 + 26*x**4/5 - 24*x**3 + 224*x**2/5 - 128*x/5.
-2*x*(x - 4)**3*(x - 1)/5
Factor 2*s**5 - 128*s**4 + 3056*s**3 - 33332*s**2 + 156494*s - 202124.
2*(s - 23)*(s - 13)**3*(s - 2)
Solve -45*j**5 + 332*j**4 - 4129*j**3/5 + 3786*j**2/5 - 140*j - 392/5 = 0.
-2/9, 1, 14/5
What is n in 2*n**4/9 - 14*n**3/9 - 124*n**2/9 + 64*n + 256 = 0?
-6, -3, 8
Solve 2*s**4/7 + 202*s**3/7 + 6264*s**2/7 + 38880*s/7 - 93312 = 0.
-36, 7
Find o, given that -2*o**3/5 - 720*o**2 - 7194*o/5 - 3596/5 = 0.
-1798, -1
Let 4*a**3 - 68*a**2 + 300*a - 396 = 0. Calculate a.
3, 11
Factor x**4/5 + 4*x**3/5 - 42*x**2/5 - 44*x - 35.
(x - 7)*(x + 1)*(x + 5)**2/5
Factor 361*n**2/3 - 38*n/3 + 1/3.
(19*n - 1)**2/3
Suppose -3*x**3 - 15*x**2 + 132*x - 180 = 0. What is x?
-10, 2, 3
Suppose 5*v**3 - 75*v**2 + 160*v + 240 = 0. Calculate v.
-1, 4, 12
Solve 2*o**5/13 - 14*o**4/13 - 36*o**3/13 - 4*o**2/13 + 34*o/13 + 18/13 = 0 for o.
-1, 1, 9
Factor -2*d**5/5 + 2*d**4 - 8*d**3/5.
-2*d**3*(d - 4)*(d - 1)/5
Factor 5*d**3 + 11565*d**2 + 8916615*d + 2291570055.
5*(d + 771)**3
Factor -405*s**2 - 1914*s + 144.
-3*(5*s + 24)*(27*s - 2)
Let 5*m**5 + 135*m**4 + 1095*m**3 + 2525*m**2 + 2280*m + 720 = 0. What is m?
-12, -1
Determine z, given that 4*z**5 - 23*z**4 - 4*z**3 + 23*z**2 = 0.
-1, 0, 1, 23/4
Factor -2*x**2/9 + 2*x/3 + 4.
-2*(x - 6)*(x + 3)/9
Suppose -s**2/8 + 73*s/8 + 37/4 = 0. What is s?
-1, 74
Factor 10*d**3 + 65*d**2 + 120*d + 45.
5*(d + 3)**2*(2*d + 1)
Factor -5*l**3 + 95*l**2 + 3710*l - 3800.
-5*(l - 38)*(l - 1)*(l + 20)
Find t, given that 2*t**3/3 + 14*t**2 + 12*t - 80/3 = 0.
-20, -2, 1
Factor -3*n**2 + 195*n - 1650.
-3*(n - 55)*(n - 10)
Factor -3*v**2/10 + 316*v/5 - 42.
-(v - 210)*(3*v - 2)/10
Factor 4*y**3 - 2792*y**2 - 5596*y - 2800.
4*(y - 700)*(y + 1)**2
Factor -u**2/7 - 44*u/7 + 1725/7.
-(u - 25)*(u + 69)/7
What is f in 2*f**4 + 90*f**3 + 172*f**2 = 0?
-43, -2, 0
Suppose -3*d**3 + 127*d**2/2 - 31*d = 0. Calculate d