**3 - 436*k**2 + 120*k = 0 for k.
-5, 0, 2/5, 1, 3
Factor 28*i**3 + 132*i**2 - 208*i + 48.
4*(i - 1)*(i + 6)*(7*i - 2)
Factor -2*l**3/5 + 96*l**2 - 470*l.
-2*l*(l - 235)*(l - 5)/5
Factor w**2 + 99*w - 202.
(w - 2)*(w + 101)
Determine b so that b**5 - 3*b**4 - 4*b**3 + 12*b**2 = 0.
-2, 0, 2, 3
Let -p**5/3 + 8*p**4/3 - 3*p**3 - 38*p**2/3 + 40*p/3 = 0. What is p?
-2, 0, 1, 4, 5
Determine k, given that -k**4 + 492*k**3 - 60022*k**2 - 121524*k - 61009 = 0.
-1, 247
Factor 2*i**3/13 - 162*i**2/13 + 160*i/13.
2*i*(i - 80)*(i - 1)/13
Factor 10*v**3 - 586*v**2 + 6904*v + 2856.
2*(v - 42)*(v - 17)*(5*v + 2)
Factor -2*r**4 - 12*r**3 + 16*r**2 + 12*r - 14.
-2*(r - 1)**2*(r + 1)*(r + 7)
Factor 15*l**2 - 84*l + 96.
3*(l - 4)*(5*l - 8)
Let -3*w**4/2 - 6*w**3 - 9*w**2/2 = 0. Calculate w.
-3, -1, 0
Determine l so that -24*l**2 + 87*l/4 + 9/4 = 0.
-3/32, 1
Let -4*d**5 + 44*d**4 + 100*d**3 + 52*d**2 = 0. Calculate d.
-1, 0, 13
Determine i so that -2*i**5/5 + 124*i**4/5 - 2924*i**3/5 + 31888*i**2/5 - 150722*i/5 + 195364/5 = 0.
2, 13, 17
Suppose -3*h**5/4 + 15*h**4/2 - 21*h**3 + 9*h**2/2 + 135*h/4 = 0. Calculate h.
-1, 0, 3, 5
Let 2*r**5 - 988*r**4 + 123968*r**3 - 479212*r**2 - 123970*r + 480200 = 0. Calculate r.
-1, 1, 4, 245
Determine b, given that 2*b**2/7 + 60*b/7 + 450/7 = 0.
-15
Factor 5*z**3 + 5595*z**2 - 11205*z + 5605.
5*(z - 1)**2*(z + 1121)
Solve -2*k**3 + 62*k**2 - 598*k + 1690 = 0.
5, 13
Factor -4*z**4 + 8*z**3 + 4*z**2 - 8*z.
-4*z*(z - 2)*(z - 1)*(z + 1)
Factor v**3 - 85*v**2 - 4*v + 340.
(v - 85)*(v - 2)*(v + 2)
Factor 5*u**3/3 + 200*u**2/3 + 1360*u/3 + 2560/3.
5*(u + 4)**2*(u + 32)/3
What is a in -5*a**2 - 225*a - 2380 = 0?
-28, -17
Factor 2*x**2/5 + 52*x/5 - 384/5.
2*(x - 6)*(x + 32)/5
Determine w so that w**3/5 - 69*w**2/5 + 27*w - 67/5 = 0.
1, 67
Solve -27*r**2 + 6336*r - 371712 = 0.
352/3
Factor 2*b**5/5 + 38*b**4/5 + 14*b**3 + 34*b**2/5.
2*b**2*(b + 1)**2*(b + 17)/5
Determine i so that 6*i**5 + 10*i**4 - 4*i**3 - 12*i**2 - 2*i + 2 = 0.
-1, 1/3, 1
Factor v**4/3 + 13*v**3/3 - 34*v**2/3 - 580*v/3 + 200.
(v - 6)*(v - 1)*(v + 10)**2/3
Determine s, given that 3*s**3 + 150*s**2 + 2016*s + 3456 = 0.
-24, -2
Let -2*m**3/7 - 2*m**2 + 2*m/7 + 2 = 0. What is m?
-7, -1, 1
Suppose -12*y**5/5 - 429*y**4/5 + 144*y**3/5 + 1263*y**2/5 - 1182*y/5 + 216/5 = 0. What is y?
-36, -2, 1/4, 1
Solve 4*d**5 - 184*d**4 + 2284*d**3 - 3688*d**2 - 2288*d + 3872 = 0 for d.
-1, 1, 2, 22
Factor -3*x**2 - 51*x - 48.
-3*(x + 1)*(x + 16)
Suppose -4*z**4/5 + 496*z**3/5 - 23064*z**2/5 + 476656*z/5 - 3694084/5 = 0. Calculate z.
31
Suppose -4*k**3 - 44*k**2 + 4*k + 44 = 0. What is k?
-11, -1, 1
Factor 8*x**2/7 + 214*x/7 - 54/7.
2*(x + 27)*(4*x - 1)/7
Factor 4*s**3/5 + 8*s**2 + 132*s/5 + 144/5.
4*(s + 3)**2*(s + 4)/5
Factor -c**2 + 18*c.
-c*(c - 18)
Factor 25*a**3 + 215*a**2 + 420*a + 180.
5*(a + 2)*(a + 6)*(5*a + 3)
Suppose k**3 + 187*k**2 + 2100*k = 0. What is k?
-175, -12, 0
Find o such that -3*o**5 - 69*o**4/4 - 15*o**3/2 + 21*o**2 + 21*o/2 - 15/4 = 0.
-5, -1, 1/4, 1
Suppose -4*u**5 + 16*u**4 + 32*u**3 - 56*u**2 - 28*u + 40 = 0. Calculate u.
-2, -1, 1, 5
Find u such that -5*u**5 + 95*u**4 - 460*u**3 + 400*u**2 + 960*u = 0.
-1, 0, 4, 12
Suppose -l**3/3 + 8257*l**2/3 - 17040383*l/3 - 17048641/3 = 0. What is l?
-1, 4129
Factor 45*i**3 - 1970*i**2 + 21340*i + 4840.
5*(i - 22)**2*(9*i + 2)
Determine a, given that -3*a**2/7 - 27*a/7 = 0.
-9, 0
Determine s so that 686*s**4/5 + 12838*s**3/5 - 17262*s**2/5 + 7506*s/5 - 216 = 0.
-20, 3/7
Suppose 27*c**4 - 111*c**3 + 147*c**2 - 69*c + 6 = 0. What is c?
1/9, 1, 2
Let -12*g**4/5 - 64*g**3/5 + 852*g**2/5 - 1256*g/5 + 96 = 0. Calculate g.
-12, 2/3, 1, 5
Find y such that y**3 - 7*y + 6 = 0.
-3, 1, 2
Solve 5*r**5 + 70*r**4 + 345*r**3 + 620*r**2 - 80*r - 960 = 0 for r.
-4, -3, 1
Factor 5*z**3/2 - 65*z**2/2 + 55*z.
5*z*(z - 11)*(z - 2)/2
Find p, given that p**2 + 10*p + 9 = 0.
-9, -1
Factor 5*c**2 - 350*c - 5395.
5*(c - 83)*(c + 13)
Solve 50625*k**5/4 - 105525*k**4/2 - 219489*k**3/4 + 22499*k**2/2 + 713*k + 10 = 0.
-1, -2/75, 2/9, 5
Determine j, given that 10*j**2/9 - 236*j/9 - 32/3 = 0.
-2/5, 24
Suppose 14*q**2 + 216*q - 128 = 0. Calculate q.
-16, 4/7
Let 4*o**2 + 76*o - 168 = 0. What is o?
-21, 2
What is z in -9*z**3 - 417*z**2 + 714*z - 288 = 0?
-48, 2/3, 1
Find l such that 5*l**5/3 + 6*l**4 + 17*l**3/3 - 4*l/3 = 0.
-2, -1, 0, 2/5
Factor -l**2 - 121*l + 500.
-(l - 4)*(l + 125)
Solve 2*f**4/9 + 100*f**3/9 + 526*f**2/3 + 7120*f/9 - 8800/9 = 0 for f.
-20, -11, 1
Find r such that 2*r**2 + 16*r - 168 = 0.
-14, 6
Factor -3*r**5 + 9*r**4 + 66*r**3 + 114*r**2 + 81*r + 21.
-3*(r - 7)*(r + 1)**4
Factor 2*g**3/11 + 104*g**2/11 + 1258*g/11 + 1156/11.
2*(g + 1)*(g + 17)*(g + 34)/11
Suppose -2*o**4/17 - 2*o**3/17 + 6*o**2/17 + 10*o/17 + 4/17 = 0. Calculate o.
-1, 2
Factor -5*k**4 - 345*k**3 - 8250*k**2 - 75020*k - 159720.
-5*(k + 3)*(k + 22)**3
Factor 2*b**4/19 + 2*b**3/19.
2*b**3*(b + 1)/19
Solve 3*l**2/7 + 552*l/7 + 25392/7 = 0.
-92
Find w, given that 4*w**2/25 - 46*w/25 + 22/25 = 0.
1/2, 11
Factor 3*d**3 - 292*d**2 - 796*d - 400.
(d - 100)*(d + 2)*(3*d + 2)
Factor 3*p**3 + 162*p**2 + 2187*p.
3*p*(p + 27)**2
What is n in n**5 - 10*n**4 + 32*n**3 - 38*n**2 + 15*n = 0?
0, 1, 3, 5
Suppose -h**2/4 - 673*h/2 = 0. What is h?
-1346, 0
Determine y, given that -3*y**5 - 381*y**4 - 375*y**3 + 381*y**2 + 378*y = 0.
-126, -1, 0, 1
Factor -6*n**2 + 315*n.
-3*n*(2*n - 105)
Factor 6*j**2/7 + 1668*j/7 + 16080/7.
6*(j + 10)*(j + 268)/7
Factor -2*b**3 - 36*b**2 - 120*b - 112.
-2*(b + 2)**2*(b + 14)
Let 4*n**4/5 + 4*n**3 - 140*n**2 + 380*n - 1224/5 = 0. Calculate n.
-17, 1, 2, 9
Factor -2*i**3 - 34*i**2.
-2*i**2*(i + 17)
Let f**4/3 - 2*f**3/3 - 13*f**2/3 - 10*f/3 = 0. Calculate f.
-2, -1, 0, 5
Factor 5*i**3/4 - 19*i**2/4 + 11*i/4 + 3/4.
(i - 3)*(i - 1)*(5*i + 1)/4
Factor -6*m**3/7 - 956*m**2/7 - 37760*m/7 + 25600/7.
-2*(m + 80)**2*(3*m - 2)/7
Factor p**5 - 36*p**4 + 384*p**3 - 1280*p**2.
p**2*(p - 20)*(p - 8)**2
Find t, given that 4*t**3 + 20*t**2 - 24*t = 0.
-6, 0, 1
Determine c so that 4*c**2 + 68*c - 72 = 0.
-18, 1
Find c, given that -2*c**2 + 820*c - 1632 = 0.
2, 408
Factor o**5 - 9*o**4 + 6*o**3 + 16*o**2.
o**2*(o - 8)*(o - 2)*(o + 1)
Find l, given that -45*l**4 + 22830*l**3 - 2887985*l**2 - 1932940*l - 322580 = 0.
-1/3, 254
Solve r**5/9 + 82*r**4/9 + 316*r**3/9 + 104*r**2/3 = 0 for r.
-78, -2, 0
Factor -2*t**3 + 146*t - 144.
-2*(t - 8)*(t - 1)*(t + 9)
Factor 5*h**2 + 49250*h + 121278125.
5*(h + 4925)**2
Let -2*h**2 + 672*h - 56448 = 0. What is h?
168
Factor -2*r**4/5 - 132*r**3/5 - 2306*r**2/5 - 4224*r/5 - 2048/5.
-2*(r + 1)**2*(r + 32)**2/5
What is a in a**4/4 + 3*a**3/2 - 11*a/2 + 15/4 = 0?
-5, -3, 1
Let -2*b**2/15 - 8*b/15 - 2/5 = 0. What is b?
-3, -1
Factor 2*u**3 - 34*u**2 + 184*u - 320.
2*(u - 8)*(u - 5)*(u - 4)
Factor -4*g**3 + 4*g**2 + 24*g.
-4*g*(g - 3)*(g + 2)
Solve -21*m**5 - 111*m**4 + 411*m**3 - 357*m**2 + 30*m + 48 = 0.
-8, -2/7, 1
Factor -6*v**2/5 + 288*v/5 - 648.
-6*(v - 30)*(v - 18)/5
Factor i**3/3 - 17*i**2/3.
i**2*(i - 17)/3
Find w, given that -3*w**3 - 3*w**2 + 3*w + 3 = 0.
-1, 1
Factor x**4/3 - 5*x**3/3 + x**2 + 3*x.
x*(x - 3)**2*(x + 1)/3
Factor p**4/4 + 321*p**3/2 - 1287*p**2/4 + 161*p.
p*(p - 1)**2*(p + 644)/4
Solve 5*o**5 + 35*o**4 - 145*o**3 - 435*o**2 + 540*o = 0 for o.
-9, -3, 0, 1, 4
Factor 4*b**2/5 + 72*b/5 + 308/5.
4*(b + 7)*(b + 11)/5
Determine h, given that 5*h**3/6 - 5*h**2/3 = 0.
0, 2
Let -3*r**2/4 - 93*r/4 + 135 = 0. Calculate r.
-36, 5
Suppose -3*n**3 - 444*n**2 - 441*n = 0. Calculate n.
-147, -1, 0
Suppose -4*x**5/3 + 52*x**4 - 480*x**3 - 1600*x**2/3 = 0. Calculate x.
-1, 0, 20
Let -4*w**2 - 20*w - 24 = 0. What is w?
-3, -2
Factor -4*y**3 + 276*y**2 - 2460*y - 87412.
-4*(y - 41)**2*(y + 13)
Factor a**2 + 2*a - 3.
(a - 1)*(a + 3)
Solve 2*h**5/13 - 8*h**4/13 + 8*h**3/13 = 0.
0, 2
Factor -4*b**5 + 24*b**4 + 184*b**3 + 368*b**2 + 300*b + 88.
-4*(b - 11)*(b + 1)**3*(b + 2)
Factor z**2/9 - 2626*z/9 + 1723969/9.
(z - 1313)**2/9
Factor 5*u**3 + 90*u**2 + 400*u + 480.
5*(u + 2)*(u + 4)*(u + 12)
Factor -3*v**3/7 + 486*v**2/7 + 2007*v/7 - 2490/7.
-3*(v - 166)*(v - 1)*(v + 5)/7
Factor -5*t**2 - 335*t - 2360.
-5*(t + 8)*(t + 59)
Factor -4*s**2/5 - 56*s/5 - 52/5.
-4*(s + 1)*(s + 13)/5
Let -32*c**2/7 - 52*c/7 + 24/7 = 0. What is c?
-2, 3/8
Suppo