- 436*k/7 - 416/7 = 0 for k.
-8, -1, 13
What is g in -2*g**2 + 132*g - 928 = 0?
8, 58
Suppose -5*a**3 - 655*a**2 + 1325*a - 665 = 0. Calculate a.
-133, 1
Let -2*t**5 - 12*t**4 - 10*t**3 + 32*t**2 + 24*t - 32 = 0. Calculate t.
-4, -2, 1
Factor -k**3 + 5*k**2 + 8*k - 12.
-(k - 6)*(k - 1)*(k + 2)
Factor -4*u**2/7 + 720*u/7 - 500.
-4*(u - 175)*(u - 5)/7
Factor -2*a**4 + 2*a**3 + 12*a**2 - 8*a - 16.
-2*(a - 2)**2*(a + 1)*(a + 2)
Find a, given that 15*a**4 - 305*a**3 + 1815*a**2 - 2295*a - 2430 = 0.
-2/3, 3, 9
Factor -2*z**3/3 - 2*z**2 + 8*z/3 + 8.
-2*(z - 2)*(z + 2)*(z + 3)/3
Factor m**4 + 3*m**3 - 18*m**2.
m**2*(m - 3)*(m + 6)
Solve -352*t**4/5 - 492*t**3 - 2788*t**2/5 + 5664*t/5 - 64/5 = 0 for t.
-4, 1/88, 1
Factor 9*u**3/8 + 3*u**2/8.
3*u**2*(3*u + 1)/8
Let 2*n**2 + 22*n - 52 = 0. What is n?
-13, 2
Factor -s**2/5 - 24*s/5 - 23/5.
-(s + 1)*(s + 23)/5
Determine g, given that 2*g**2 + 88*g + 168 = 0.
-42, -2
Let m**2/3 - 94*m/3 - 95/3 = 0. What is m?
-1, 95
Determine l, given that 2*l**3/11 + 29228*l**2/11 + 106784498*l/11 = 0.
-7307, 0
Solve -b**5/4 + 3*b**4/4 - b**3/2 = 0.
0, 1, 2
Factor -4*z**5 - 308*z**4 - 552*z**3 + 3544*z**2 - 4180*z + 1500.
-4*(z - 1)**3*(z + 5)*(z + 75)
Let -o**5/4 - 7*o**4/4 + 19*o**3/4 + 7*o**2/4 - 9*o/2 = 0. Calculate o.
-9, -1, 0, 1, 2
Determine w so that -w**2/6 - 2*w - 9/2 = 0.
-9, -3
Factor -9*j**3 - 30*j**2 + 27*j + 12.
-3*(j - 1)*(j + 4)*(3*j + 1)
Factor -3*b**2/5 + 1992*b/5 - 1989/5.
-3*(b - 663)*(b - 1)/5
Factor a**4/7 + 16*a**3/7 + 64*a**2/7.
a**2*(a + 8)**2/7
Find l such that l**3 + 30*l**2 - 175*l = 0.
-35, 0, 5
Suppose 4*l**5 - 297*l**4 - 2486*l**3 - 4608*l**2 + 1312*l = 0. Calculate l.
-4, 0, 1/4, 82
Let -2*g**2/3 - 106*g - 628/3 = 0. Calculate g.
-157, -2
Factor 3*p**3 - 2*p**2 + p/4.
p*(2*p - 1)*(6*p - 1)/4
Let -d**5/4 + 489*d**4/4 - 15006*d**3 + 14884*d**2 = 0. What is d?
0, 1, 244
Determine x, given that 3*x**5 + 32*x**4 + 41*x**3 - 40*x**2 - 36*x = 0.
-9, -2, -2/3, 0, 1
Factor 2*q**2/7 - 1286*q/7 - 184.
2*(q - 644)*(q + 1)/7
Find q such that 2*q**2/3 + 16352*q/3 + 33423488/3 = 0.
-4088
Suppose -4*s**3/5 + 14*s**2/5 + 34*s/5 - 4 = 0. Calculate s.
-2, 1/2, 5
Let -2*n**5/5 - 4*n**4/5 + 8*n**3 + 124*n**2/5 + 122*n/5 + 8 = 0. Calculate n.
-4, -1, 5
Determine h so that -h**5/9 + h**4/9 + h**3/3 - 5*h**2/9 + 2*h/9 = 0.
-2, 0, 1
Factor -2*m**5/11 - 4*m**4/11 + 360*m**3/11 + 3024*m**2/11 + 6912*m/11.
-2*m*(m - 16)*(m + 6)**3/11
Factor 932978*k**2/9 - 5464*k/9 + 8/9.
2*(683*k - 2)**2/9
Factor 55*p**2/6 - 185*p/6 + 10.
5*(p - 3)*(11*p - 4)/6
Factor 2*p**4/5 + 12*p**3/5 + 18*p**2/5 + 8*p/5.
2*p*(p + 1)**2*(p + 4)/5
Suppose -5*j**3 + 860*j**2 - 48180*j + 871200 = 0. What is j?
40, 66
Suppose -10*j**3/3 - 1598*j**2/3 + 320*j/3 = 0. Calculate j.
-160, 0, 1/5
Suppose -4*s**2 + 36*s + 88 = 0. What is s?
-2, 11
Solve 4*g**5 - 24*g**4 + 20*g**3 + 48*g**2 = 0 for g.
-1, 0, 3, 4
Factor 3*l**3/2 - 123*l**2 + 2640*l - 4800.
3*(l - 40)**2*(l - 2)/2
Let 26250*d**5 + 10300*d**4 - 76126*d**3/3 - 30836*d**2/3 - 2624*d/3 - 64/3 = 0. Calculate d.
-1, -2/7, -4/75, 1
Factor 2*j**2 + 246*j + 720.
2*(j + 3)*(j + 120)
Solve 4*i**4 - 108*i**3 + 300*i**2 - 292*i + 96 = 0 for i.
1, 24
Factor 3*c**3 + 987*c**2 + 87216*c + 973596.
3*(c + 13)*(c + 158)**2
Suppose -2*c**3 - 24*c**2 - 58*c - 36 = 0. What is c?
-9, -2, -1
Let 5*a**2/4 + 5185*a/2 + 5376845/4 = 0. Calculate a.
-1037
Factor -h**4 - 3*h**3 + 17*h**2 + 39*h + 20.
-(h - 4)*(h + 1)**2*(h + 5)
Factor -55*a**2 + 2*a.
-a*(55*a - 2)
Find c, given that c**3/10 - 2*c**2/5 + 3*c/10 = 0.
0, 1, 3
Find b such that -5*b**3 + 81*b**2 - 160*b + 84 = 0.
1, 6/5, 14
Solve -3*u**5 + 57*u**4 + 63*u**3 - 57*u**2 - 60*u = 0 for u.
-1, 0, 1, 20
Factor w**5 + 4*w**4 - 2*w**3 - 8*w**2 + w + 4.
(w - 1)**2*(w + 1)**2*(w + 4)
Let 2*l**3 + 8*l**2 - 14*l - 20 = 0. What is l?
-5, -1, 2
Let 2*w**2 - 11912*w + 17736968 = 0. What is w?
2978
Factor a**2/2 - 9*a + 17/2.
(a - 17)*(a - 1)/2
Factor -y**2 + 200*y + 404.
-(y - 202)*(y + 2)
Factor -g**2/10 + 29*g + 291/10.
-(g - 291)*(g + 1)/10
Factor 15*p**4 - 351*p**3 + 468*p**2 - 132*p.
3*p*(p - 22)*(p - 1)*(5*p - 2)
Factor r**5/9 + 41*r**4/9 + 133*r**3/3 - 49*r**2.
r**2*(r - 1)*(r + 21)**2/9
What is w in -w**2/2 + 6*w = 0?
0, 12
Factor -4*m**2 + 8312*m.
-4*m*(m - 2078)
Factor -2*n**5 + 6*n**4 + 12*n**3 - 20*n**2 - 42*n - 18.
-2*(n - 3)**2*(n + 1)**3
Factor -2*l**4/13 + 200*l**3/13 - 6300*l**2/13 + 49000*l/13 + 428750/13.
-2*(l - 35)**3*(l + 5)/13
Factor 2*f**5/7 + 2*f**4/7 - 6*f**3/7 - 10*f**2/7 - 4*f/7.
2*f*(f - 2)*(f + 1)**3/7
What is n in -2*n**3 + 11622*n**2 - 22511814*n + 14535127906 = 0?
1937
Find a, given that a**5 + 2*a**4 - 5*a**3 - 10*a**2 + 4*a + 8 = 0.
-2, -1, 1, 2
Determine y so that y**3/4 + 3*y**2/4 - y = 0.
-4, 0, 1
Factor r**5 + 66*r**4 + 792*r**3 + 1390*r**2 + 663*r.
r*(r + 1)**2*(r + 13)*(r + 51)
Determine n so that -5*n**5/3 + 35*n**4/6 + 5*n**3/6 - 65*n**2/3 + 70*n/3 - 20/3 = 0.
-2, 1/2, 1, 2
Factor 3*s**2 - 15*s - 150.
3*(s - 10)*(s + 5)
What is p in 54*p**4 + 5970*p**3 + 9100*p**2 - 6120*p - 1744 = 0?
-109, -2, -2/9, 2/3
Find u such that u**2/5 - 9586*u/5 + 22972849/5 = 0.
4793
Find d, given that 2*d**2 - 2924*d + 1068722 = 0.
731
Factor -2*c**2/11 - 100*c - 4368/11.
-2*(c + 4)*(c + 546)/11
Solve -15*l**3 - 13*l**2 + 2*l = 0 for l.
-1, 0, 2/15
Factor -h**2/3 - 6506*h/3 - 10582009/3.
-(h + 3253)**2/3
What is s in -14*s**5/3 - 298*s**4/3 - 364*s**3/3 - 80*s**2/3 = 0?
-20, -1, -2/7, 0
Solve 2*z**5/5 - 12*z**4/5 + 4*z**3/5 + 8*z**2 - 54*z/5 + 4 = 0.
-2, 1, 5
Find v, given that -v**4/2 - 123*v**3/2 - 597*v**2/2 - 829*v/2 - 177 = 0.
-118, -3, -1
Factor -3*x**3 - 156*x**2 + 2196*x - 6912.
-3*(x - 6)**2*(x + 64)
What is p in 5*p**5 + 45*p**4 + 55*p**3 - 105*p**2 = 0?
-7, -3, 0, 1
Find k, given that k**2/4 - 5*k/4 + 3/2 = 0.
2, 3
Find x such that 15*x**4/7 + 201*x**3/7 + 186*x**2/7 = 0.
-62/5, -1, 0
Factor p**2/6 - 11*p/3.
p*(p - 22)/6
Find g such that -90*g**4 + 10244*g**3 - 290578*g**2 - 52896*g + 25992 = 0.
-2/5, 2/9, 57
Factor -5*d**2 - 11*d.
-d*(5*d + 11)
Let -2*y**2/9 - 116*y/9 + 118/9 = 0. Calculate y.
-59, 1
Factor u**3 - 8*u**2 - 45*u - 36.
(u - 12)*(u + 1)*(u + 3)
Find h, given that -5*h**3 + 50*h**2 - 85*h - 140 = 0.
-1, 4, 7
Find k, given that k**4/5 - 18*k**3/5 - 4*k**2 + 18*k/5 + 19/5 = 0.
-1, 1, 19
Suppose -5*b**3 - 4270*b**2 = 0. Calculate b.
-854, 0
Let -c**4/2 - 91*c**3/2 - 45*c**2 = 0. What is c?
-90, -1, 0
Determine s so that -5*s**4 - 140*s**3 - 810*s**2 + 2060*s - 1105 = 0.
-17, -13, 1
Factor 3*g**3 - 57*g**2 + 336*g - 576.
3*(g - 8)**2*(g - 3)
Factor 75*z**5/4 - 165*z**4/4 - 42*z**3 - 9*z**2.
3*z**2*(z - 3)*(5*z + 2)**2/4
Factor -4*z**5 + 20*z**4 + 24*z**3.
-4*z**3*(z - 6)*(z + 1)
Let -3*t**4/5 - 49*t**3/5 - 103*t**2/5 - 71*t/5 - 14/5 = 0. What is t?
-14, -1, -1/3
Factor -6*z**2/7 + 6396*z/7 + 6402/7.
-6*(z - 1067)*(z + 1)/7
Suppose -5*r**3 - 520*r**2 - 12985*r + 28090 = 0. What is r?
-53, 2
Factor -4*g**2/5 - 212*g/5 - 120.
-4*(g + 3)*(g + 50)/5
Factor v**4/2 + 3*v**3/2 - 5*v**2 - 12*v.
v*(v - 3)*(v + 2)*(v + 4)/2
Solve -3*m**3/2 - 15*m**2 + 3*m/2 + 15 = 0 for m.
-10, -1, 1
Find f such that 3*f**4/5 - 8*f**3/5 - 114*f**2 - 2688*f/5 - 833/5 = 0.
-7, -1/3, 17
What is b in b**4/7 + 3*b**3/7 = 0?
-3, 0
Determine w, given that 2*w**5/9 - 16*w**3/9 + 4*w**2/3 + 14*w/9 - 4/3 = 0.
-3, -1, 1, 2
Factor -34295*w**4/4 - 5415*w**3/2 - 285*w**2 - 10*w.
-5*w*(19*w + 2)**3/4
Factor 4*u**3/5 - 424*u**2/5 + 484*u - 400.
4*(u - 100)*(u - 5)*(u - 1)/5
Factor 4*y**2 + 88*y + 160.
4*(y + 2)*(y + 20)
Let 3*f**3/2 - 123*f**2 + 2640*f - 4800 = 0. What is f?
2, 40
What is s in -10*s**5/9 - 22*s**4/3 + 26*s**3/3 + 730*s**2/9 - 100*s/3 = 0?
-5, 0, 2/5, 3
Factor -2*x**5/3 - 2*x**4/3 + 4*x**3/3.
-2*x**3*(x - 1)*(x + 2)/3
Factor 2*t**2/13 + 18*t - 476/13.
2*(t - 2)*(t + 119)/13
Factor 15*p**4 + 18*p**3 + 3*p**2.
3*p**2*(p + 1)*(5*p + 1)
Determine m so that -m**5 + m**4 + 9*m**3 + 11*m**2 + 4*m = 0.
-1, 0, 4
Factor -8*b**2 - 540*b - 268.
-4*(b + 67)*(2*b + 1)
Factor f**3/3 + 3463*f**2/3.
f**2*(f + 3463)/3
Solve s**4/9 - 10*s**3/9 + 17*s**2/9 - 8*s/9 = 0 for s.
0, 1, 8
Let 4*n**4/7 - 2*n**3 + 2*n**2/7 + 2*n - 6/7 = 0. What is n?
-1, 1/2, 1, 3
Suppose -64*w**4 - 3232*w**3 - 27204*w**2 - 13000*w - 1600 = 0. What is w?
-40, -10, -1/4
Factor -2*b**2 - 52*b/3 + 6.
-2