*3 - 65*k**2/2 - 90*k - 10 = 0.
-2, -1, -2/17, 1
Suppose u**5 - 5*u**4/3 - 5*u**3/3 + 5*u**2/3 + 2*u/3 = 0. Calculate u.
-1, -1/3, 0, 1, 2
Factor -3*r**2 + 4704*r - 1843968.
-3*(r - 784)**2
Factor 3*n**3/8 + 51*n**2/8 + 63*n/2 + 81/2.
3*(n + 2)*(n + 6)*(n + 9)/8
What is o in -5*o**2 - 275*o + 280 = 0?
-56, 1
Determine s so that -10*s**2 + 24*s - 8 = 0.
2/5, 2
Find g, given that -2*g**4 + 2*g**3 + 20*g**2 + 16*g = 0.
-2, -1, 0, 4
Factor -6*b**5/5 - 132*b**4/5 + 138*b**3/5.
-6*b**3*(b - 1)*(b + 23)/5
What is p in -2*p**3/7 + 12*p**2/7 + 50*p/7 + 36/7 = 0?
-2, -1, 9
Factor 2*z**5/5 + 4*z**4/5.
2*z**4*(z + 2)/5
Factor r**3 - 429*r**2 + 61347*r - 2924207.
(r - 143)**3
Factor 2*h**2/5 - 218*h/5 + 216/5.
2*(h - 108)*(h - 1)/5
Factor -21*j**3/8 + 27*j**2/8 + 78*j - 45/2.
-3*(j - 6)*(j + 5)*(7*j - 2)/8
Solve -4*f**2/5 + 38*f/5 + 4 = 0.
-1/2, 10
Solve 2*b**3/9 - 88*b**2/9 - 182*b/9 - 92/9 = 0.
-1, 46
Factor -2*q**3 + 388*q**2/3 + 130*q/3.
-2*q*(q - 65)*(3*q + 1)/3
Let -3*r**3 - 2215*r**2 + 4433*r/3 - 739/3 = 0. What is r?
-739, 1/3
Determine w so that 5*w**5 + 115*w**4 + 600*w**3 - 720*w**2 = 0.
-12, 0, 1
Factor -d**4/3 - 2*d**3 + 16*d**2/3.
-d**2*(d - 2)*(d + 8)/3
Suppose -14*b**3/3 - 184*b**2/3 - 518*b/3 + 196 = 0. What is b?
-7, 6/7
Factor 3*u**2 - 1545*u + 3078.
3*(u - 513)*(u - 2)
Factor j**3/4 - 77*j**2/2 - 78*j.
j*(j - 156)*(j + 2)/4
Suppose -2*x**3/7 - 46*x**2/7 + 208*x/7 - 216/7 = 0. Calculate x.
-27, 2
Suppose 2*w**4/9 - 8*w**3/9 + 2*w**2/9 + 4*w/3 = 0. What is w?
-1, 0, 2, 3
Factor 38*g**2/5 + g/5.
g*(38*g + 1)/5
Let y**4/2 - 33*y**3/2 - 35*y**2/2 + 33*y/2 + 17 = 0. What is y?
-1, 1, 34
Factor 2*o**2/7 - 13348*o/7 + 22271138/7.
2*(o - 3337)**2/7
Factor 2*b**2/9 - 20*b/9 + 2.
2*(b - 9)*(b - 1)/9
Factor 520*t**3 - 3115*t**2 + 4650*t + 45.
5*(t - 3)**2*(104*t + 1)
Suppose d**3/8 - 7*d**2/8 - 79*d/2 - 77/2 = 0. What is d?
-14, -1, 22
Factor -5*s**2/2 - 11*s/2 - 1.
-(s + 2)*(5*s + 1)/2
Solve 5*g**3 + 50*g**2 + 85*g - 140 = 0.
-7, -4, 1
Find l such that 2*l**4/7 - 12*l**3/7 + 44*l/7 + 30/7 = 0.
-1, 3, 5
Factor o**4/6 - 56*o**3/3 + 784*o**2 - 43904*o/3 + 307328/3.
(o - 28)**4/6
What is x in -16*x**3/3 - 188*x**2/3 - 128*x/3 + 44/3 = 0?
-11, -1, 1/4
Factor k**5/2 + 15*k**4/2 + 63*k**3/2 + 81*k**2/2.
k**2*(k + 3)**2*(k + 9)/2
Find c, given that 3*c**3 - 132*c**2 - 900*c = 0.
-6, 0, 50
Factor 3*p**3 + 228*p**2 + 5712*p + 47040.
3*(p + 20)*(p + 28)**2
Factor -c**4/5 - 4*c**3/5 + c**2/5 + 4*c/5.
-c*(c - 1)*(c + 1)*(c + 4)/5
Suppose -f**2 + 155*f + 156 = 0. Calculate f.
-1, 156
Factor 3*x**3/7 - 3*x**2/7 - 6*x/7.
3*x*(x - 2)*(x + 1)/7
Factor -a**4 - 8*a**3 - 21*a**2 - 22*a - 8.
-(a + 1)**2*(a + 2)*(a + 4)
Factor -5*n**4 + 15*n**2 + 10*n.
-5*n*(n - 2)*(n + 1)**2
Find j, given that 49*j**3/4 - 1043*j**2/4 + 1248*j + 1521 = 0.
-1, 78/7
Factor -q**2 + 104*q + 105.
-(q - 105)*(q + 1)
Determine v, given that -v**2/9 + 230*v/9 - 13225/9 = 0.
115
Suppose -5*a**4/4 - 355*a**3/2 + 2905*a**2/4 - 1095*a/2 = 0. Calculate a.
-146, 0, 1, 3
Factor b**2/3 - 39*b - 118/3.
(b - 118)*(b + 1)/3
Factor 2*d**2 + 1140*d + 2272.
2*(d + 2)*(d + 568)
Let 3*l**3 + 9*l**2 - 66*l - 72 = 0. Calculate l.
-6, -1, 4
Find p such that p**2/2 + 43*p/2 + 126 = 0.
-36, -7
Let -24*m**4 + 483*m**3 - 2772*m**2 + 4035*m - 462 = 0. What is m?
1/8, 2, 7, 11
Find n, given that -n**2/3 + 364*n/3 + 244 = 0.
-2, 366
Factor -v**3/3 - 326*v**2/3 - 26240*v/3 + 53792/3.
-(v - 2)*(v + 164)**2/3
What is f in -f**2/3 + f + 4/3 = 0?
-1, 4
Suppose 3*r**4 + 12*r**3 - 84*r**2 + 96*r = 0. What is r?
-8, 0, 2
Factor 2*n**3/9 + 38*n**2/9 - 176*n/9 + 184/9.
2*(n - 2)**2*(n + 23)/9
Find v such that -v**2/5 - 17*v/5 - 6 = 0.
-15, -2
Determine m so that m**3 - 10*m**2 - 112*m + 256 = 0.
-8, 2, 16
Solve -2*c**2/5 + 20*c - 250 = 0 for c.
25
Factor -8*u**5/7 - 30*u**4/7 - 40*u**3/7 - 20*u**2/7 + 2/7.
-2*(u + 1)**4*(4*u - 1)/7
Factor 15*k**3 + 306*k**2 - 195*k - 126.
3*(k - 1)*(k + 21)*(5*k + 2)
Factor -5*s**2 + 90*s - 85.
-5*(s - 17)*(s - 1)
Solve 9*x**5 + 24*x**4 - 110*x**3 + 125*x = 0 for x.
-5, -1, 0, 5/3
Determine a, given that 5*a**3 - 240*a - 640 = 0.
-4, 8
Factor 5*h**4 - 1380*h**3 - 5580*h**2 - 5600*h.
5*h*(h - 280)*(h + 2)**2
Find n such that -3*n**5 + 4*n**4 + 14*n**3 + 4*n**2 - 3*n = 0.
-1, 0, 1/3, 3
Factor 3*t**4 + 210*t**3 - 4197*t**2 + 20688*t - 16704.
3*(t - 8)**2*(t - 1)*(t + 87)
Factor -2*w**2/5 + 1088*w/5 - 147968/5.
-2*(w - 272)**2/5
What is j in -j**2 + 230*j - 456 = 0?
2, 228
Factor -5*v**3 - 60*v**2 + 225*v.
-5*v*(v - 3)*(v + 15)
Factor -4*o**2 + 36*o + 360.
-4*(o - 15)*(o + 6)
Determine m so that m**3 + 10*m**2 + 29*m + 20 = 0.
-5, -4, -1
Factor 2*n**3/3 + 7*n**2/9 - 11*n/9 - 2/9.
(n - 1)*(n + 2)*(6*n + 1)/9
Determine y, given that y**5 + 21*y**4 + 68*y**3 - 420*y**2 = 0.
-14, -10, 0, 3
Suppose 2*f**3/13 + 34*f**2/13 + 8*f = 0. Calculate f.
-13, -4, 0
Let 2*z**3 + 36*z**2 + 34*z = 0. What is z?
-17, -1, 0
What is h in 3*h**2/7 + 108*h/7 - 111/7 = 0?
-37, 1
Factor -2*a**2/7 - 20*a/7 + 22/7.
-2*(a - 1)*(a + 11)/7
Factor 2*c**3 - 44*c**2 + 130*c + 1352.
2*(c - 13)**2*(c + 4)
Solve 4*x**4 + 2256*x**3 + 477144*x**2 + 44851536*x + 1581016644 = 0.
-141
Factor m**3/4 + 2*m**2 - 9*m/4.
m*(m - 1)*(m + 9)/4
Factor -5*p**3/2 + 95*p**2/2 - 160*p + 150.
-5*(p - 15)*(p - 2)**2/2
Let -2*f**5/3 + 44*f**4/3 - 78*f**3 - 176*f**2/3 + 968*f/3 = 0. What is f?
-2, 0, 2, 11
Let 5*z**3 + 215*z**2 - 2005*z + 1785 = 0. What is z?
-51, 1, 7
Factor g**5 + 9*g**4 + 14*g**3 - 24*g**2.
g**2*(g - 1)*(g + 4)*(g + 6)
What is r in -2*r**5/11 - 4*r**4 - 72*r**3/11 + 164*r**2/11 + 74*r/11 - 120/11 = 0?
-20, -3, -1, 1
Solve g**4/4 + g**3/4 - 17*g**2/4 + 15*g/4 = 0 for g.
-5, 0, 1, 3
Suppose x**4/4 + 7*x**3/4 + 9*x**2/4 - 7*x/4 - 5/2 = 0. What is x?
-5, -2, -1, 1
Suppose -3*j**2/2 + 105*j/2 - 51 = 0. What is j?
1, 34
What is j in 4*j**3 + 124*j**2 + 1196*j + 3380 = 0?
-13, -5
Solve 12*x**4 + 303*x**3 - 894*x**2 + 831*x - 252 = 0.
-28, 3/4, 1
Determine v, given that 2*v**3/13 - 8*v**2/13 - 2*v/13 + 8/13 = 0.
-1, 1, 4
Factor 343*w**5/4 + 2499*w**4 + 68439*w**3/4 - 31819*w**2/2 + 4665*w - 450.
(w + 15)**2*(7*w - 2)**3/4
Let -4*w**2/5 + 104*w/5 = 0. What is w?
0, 26
What is l in -5*l**2 + 3250*l - 528125 = 0?
325
What is t in -5*t**2 + 20 = 0?
-2, 2
Find n such that n**4 - 16*n**3 + 29*n**2 - 14*n = 0.
0, 1, 14
Let 6*b**4 + 38*b**3/5 - 58*b**2/5 - 22*b/5 + 12/5 = 0. What is b?
-2, -3/5, 1/3, 1
Suppose 5*f**2 + 55*f = 0. What is f?
-11, 0
Solve 75*d**4/4 + 365*d**3/4 + 100*d**2 - 15*d = 0.
-3, -2, 0, 2/15
Factor -2*q**2/5 - 1532*q/5 + 1534/5.
-2*(q - 1)*(q + 767)/5
Factor 5*c**4 - 105*c**3 + 685*c**2 - 1395*c + 810.
5*(c - 9)**2*(c - 2)*(c - 1)
Factor b**3/11 + 353*b**2/11 + 703*b/11 + 351/11.
(b + 1)**2*(b + 351)/11
Factor -r**4/5 - 21*r**3/5 + r**2/5 + 21*r/5.
-r*(r - 1)*(r + 1)*(r + 21)/5
Find f, given that 8*f**5/11 - 18*f**4/11 - 10*f**3/11 + 30*f**2/11 + 2*f/11 - 12/11 = 0.
-1, -3/4, 1, 2
Let 2*d**3/7 + 8*d**2/7 + 2*d/7 - 12/7 = 0. What is d?
-3, -2, 1
Suppose -4*x**2/5 + 14*x/5 - 6/5 = 0. Calculate x.
1/2, 3
Determine n so that 18*n**3/5 + 366*n**2 + 1214*n/5 + 202/5 = 0.
-101, -1/3
Factor -h**4 + 2340*h**3 + 7026*h**2 + 7028*h + 2343.
-(h - 2343)*(h + 1)**3
Find m, given that m**5 - 9*m**4 + 14*m**3 + 2*m**2 - 15*m + 7 = 0.
-1, 1, 7
Suppose 2*q**2/19 + 64*q/19 + 480/19 = 0. Calculate q.
-20, -12
Determine k, given that k**5 + 3*k**4 - 6*k**3 - 8*k**2 = 0.
-4, -1, 0, 2
Determine i, given that -5*i**3/4 + 255*i**2 - 1005*i + 1000 = 0.
2, 200
Factor -2*l**3/3 + 14*l**2/3 - 22*l/3 + 10/3.
-2*(l - 5)*(l - 1)**2/3
Solve -5*s**3/4 + 75*s**2/2 + 165*s/4 - 155/2 = 0 for s.
-2, 1, 31
Factor 5*z**3 + 110*z**2 + 480*z - 1440.
5*(z - 2)*(z + 12)**2
Factor -s**3 - 50*s**2 + 288*s + 28512.
-(s - 22)*(s + 36)**2
Let 120*m**3 - 236*m**2 - 8*m = 0. What is m?
-1/30, 0, 2
Factor o**2/2 + 783*o.
o*(o + 1566)/2
Solve -2*f**4/5 + 112*f**3/5 - 1758*f**2/5 + 4888*f/5 + 1352 = 0.
-1, 5, 26
Factor 2*p**3/17 - 60*p**2/17 + 58*p/17.
2*p*(p - 29)*(p - 1)/17
Factor 2*b**2/3 - 10*b/3.
2*b*(b - 5)/3
Factor -15*c**2 + 81*c - 30.
-3*(c - 5)*(5*c - 2)
Factor s**4/7 - 3*s**3 + 153*s**2/7 - 61*s + 42.
(s - 7)**2*(s - 6)*(s - 1)/7
Determine g, given that -8*g**3/13 + 82*g**2/13 + 68*g/13 - 22/13 = 0.
-1, 1/4, 11
Let -s**2/6 - 586*s/3 - 171698/3 = 0. Calculate s.
-586
Fa