**2 + 180*j.
-3*j*(j - 6)*(j + 10)
Factor 2*f**2/7 - 32*f/7.
2*f*(f - 16)/7
Solve 5*w**2 + 10*w - 120 = 0.
-6, 4
Factor -2*f**5 - 4*f**4 + 6*f**3.
-2*f**3*(f - 1)*(f + 3)
Determine r, given that -3*r**4 - 354*r**3 - 10440*r**2 + 354*r + 10443 = 0.
-59, -1, 1
Determine l, given that 20*l**5 - 125*l**4 - 590*l**3 + 875*l**2 - 180*l = 0.
-4, 0, 1/4, 1, 9
Let 2*y**3/5 - 32*y**2/5 + 32*y - 256/5 = 0. What is y?
4, 8
Factor -3*p**5/2 + 315*p**4/2 + 963*p**3/2 + 969*p**2/2 + 162*p.
-3*p*(p - 108)*(p + 1)**3/2
Determine p so that 2*p**2 + 28*p = 0.
-14, 0
Suppose 49*t**5 - 5411*t**4 + 145072*t**3 + 237892*t**2 + 99904*t + 12544 = 0. Calculate t.
-1, -2/7, 56
Factor -w**5 - w**4 + 3*w**3 + 5*w**2 + 2*w.
-w*(w - 2)*(w + 1)**3
Determine f so that 6*f**4 + 143*f**3 + 67*f**2 - 70*f = 0.
-70/3, -1, 0, 1/2
Find t, given that t**4 + 43*t**3 - 3*t**2 - 131*t - 86 = 0.
-43, -1, 2
Factor 4*f**2 - 4.
4*(f - 1)*(f + 1)
Solve -3*r**5 - 24*r**4 - 12*r**3 + 66*r**2 + 15*r - 42 = 0.
-7, -2, -1, 1
Determine v, given that 3*v**3/5 + 36*v**2/5 - 3*v/5 - 36/5 = 0.
-12, -1, 1
Factor 2*j**4/13 - 2*j**3/13 - 2*j**2/13 + 2*j/13.
2*j*(j - 1)**2*(j + 1)/13
Suppose 27*u**3 - 6*u**2 = 0. What is u?
0, 2/9
Factor 9*g**2 + 123*g + 78.
3*(g + 13)*(3*g + 2)
Factor t**5/4 - t**4 + 5*t**3/4 - t**2/2.
t**2*(t - 2)*(t - 1)**2/4
Factor 2*u**3 - 52*u**2 + 330*u.
2*u*(u - 15)*(u - 11)
Factor -4*p**4 - 364*p**3 + 1116*p**2 - 1124*p + 376.
-4*(p - 1)**3*(p + 94)
Factor m**2/4 + 1263*m/4.
m*(m + 1263)/4
Factor -2*f**2/5 - 3924*f/5 + 3926/5.
-2*(f - 1)*(f + 1963)/5
Factor 3*s**4 - 501*s**3 + 1464*s**2 + 1968*s.
3*s*(s - 164)*(s - 4)*(s + 1)
Factor -g**4 - 10*g**3 - 17*g**2 - 8*g.
-g*(g + 1)**2*(g + 8)
Solve -8*z**5 - 74*z**4 + 358*z**3 - 410*z**2 + 82*z + 52 = 0 for z.
-13, -1/4, 1, 2
Factor -k**4/2 - 575*k**3/2 - 41184*k**2 + 41472*k.
-k*(k - 1)*(k + 288)**2/2
Factor -5*y**3/4 + 15*y**2/2 + 45*y + 50.
-5*(y - 10)*(y + 2)**2/4
Factor -v**3 + 16*v**2 - 41*v + 26.
-(v - 13)*(v - 2)*(v - 1)
Suppose v**4/7 - 18*v**3/7 + 61*v**2/7 - 72*v/7 + 4 = 0. Calculate v.
1, 2, 14
What is i in 2*i**3 + 3*i**2 - 2*i - 3 = 0?
-3/2, -1, 1
Determine l, given that -2*l**4/17 - 14*l**3/17 + 166*l**2/17 - 402*l/17 + 252/17 = 0.
-14, 1, 3
Find w, given that 2*w**5 + 12*w**4 - 254*w**3 + 976*w**2 - 1248*w + 512 = 0.
-16, 1, 4
Factor 4*v**5 + 17*v**4 + 13*v**3 - 9*v**2 - 9*v.
v*(v + 1)**2*(v + 3)*(4*v - 3)
Solve 2*v**4 - 30*v**3 - 2*v**2 + 30*v = 0.
-1, 0, 1, 15
Factor 2*r**2/19 + 236*r/19 + 6962/19.
2*(r + 59)**2/19
Factor 15*h**2 - 1855*h + 1230.
5*(h - 123)*(3*h - 2)
Let n**5/4 - n**4/2 - 37*n**3/2 + 2*n**2 + 1505*n/4 + 1225/2 = 0. What is n?
-5, -2, 7
Find p such that 4*p**3 + 52*p**2/3 - 112*p/3 + 16 = 0.
-6, 2/3, 1
Factor -s**3/9 - 4*s**2/3 - 35*s/9 - 8/3.
-(s + 1)*(s + 3)*(s + 8)/9
Solve -320*x**5 - 2160*x**4 - 5685*x**3 - 7295*x**2 - 4575*x - 1125 = 0.
-15/8, -1
Factor -p**3/6 - p**2/2 - p/3.
-p*(p + 1)*(p + 2)/6
Determine n so that 981*n**2 + 6*n = 0.
-2/327, 0
Determine w so that -11*w**3 + 49*w**2 + 321*w/11 + 45/11 = 0.
-3/11, 5
Solve -45*c**4/2 - 219*c**3/2 + 150*c**2 - 18*c = 0.
-6, 0, 2/15, 1
Solve 15*y**5 - 1032*y**4 - 252*y**3 + 3066*y**2 + 2685*y + 414 = 0.
-1, -1/5, 2, 69
Determine b so that -2*b**2/11 + 86*b/11 + 1456/11 = 0.
-13, 56
Factor 9*u**4 - 10203*u**3 + 2889999*u**2 + 964467*u.
3*u*(u - 567)**2*(3*u + 1)
Determine k so that -3*k**2 - 3*k + 6 = 0.
-2, 1
Factor -2*x**5/17 + 12*x**4/17 - 24*x**3/17 + 20*x**2/17 - 6*x/17.
-2*x*(x - 3)*(x - 1)**3/17
Solve -2*b**3/11 + 46*b**2/11 - 180*b/11 = 0 for b.
0, 5, 18
Suppose -g**2/4 - 169*g/4 - 646 = 0. What is g?
-152, -17
Factor 5*x**4 + 30*x**3 + 55*x**2 + 30*x.
5*x*(x + 1)*(x + 2)*(x + 3)
Factor -2*m**2/3 + 146*m/3 - 268.
-2*(m - 67)*(m - 6)/3
Find b, given that 2*b**4 - 84*b**3 - 2*b**2 + 84*b = 0.
-1, 0, 1, 42
Let -5*s**3 - 450*s**2 - 10125*s = 0. Calculate s.
-45, 0
Let 405*p**3/2 + 2435*p**2 + 4575*p/2 + 55 = 0. Calculate p.
-11, -1, -2/81
Factor 49*f**5/10 + 84*f**4/5 + 44*f**3/5 - 48*f**2/5 + 8*f/5.
f*(f + 2)**2*(7*f - 2)**2/10
Suppose 6*p**2 - 2751*p + 1374 = 0. Calculate p.
1/2, 458
Solve 40*p**5/9 - 1234*p**4/9 + 114*p**3 - 20*p**2 = 0 for p.
0, 1/4, 3/5, 30
Find r such that 2*r**4 - 540*r**3 + 1072*r**2 = 0.
0, 2, 268
Find g such that g**3/6 + 4*g**2/3 = 0.
-8, 0
Find z, given that -12*z**4/7 - 5517*z**3/7 - 633420*z**2/7 + 158700*z/7 = 0.
-230, 0, 1/4
Factor -d**2/5 - 1136*d/5 - 322624/5.
-(d + 568)**2/5
Suppose -3*u**3 + 6*u**2 + 45*u - 108 = 0. Calculate u.
-4, 3
Let -b**3/4 + 35*b**2/4 - 63*b/4 - 99/4 = 0. What is b?
-1, 3, 33
Determine b, given that b**2/4 - 19*b/4 + 12 = 0.
3, 16
Factor 2*b**2/11 - 30*b/11.
2*b*(b - 15)/11
Find w such that 2*w**5 + 20*w**4 + 42*w**3 = 0.
-7, -3, 0
Solve -27*s**2/5 + 677*s/5 - 10 = 0.
2/27, 25
Suppose -2*u**5/5 + 34*u**4/5 + 44*u**3 = 0. What is u?
-5, 0, 22
Solve o**4/3 - 2*o**3 + 3*o**2 - 4*o/3 = 0 for o.
0, 1, 4
Factor 4*f**2 - 3168*f + 627264.
4*(f - 396)**2
Factor b**2/2 - 3*b/2 - 65.
(b - 13)*(b + 10)/2
Factor -2*h**5/17 - 80*h**4/17 - 936*h**3/17 - 2592*h**2/17.
-2*h**2*(h + 4)*(h + 18)**2/17
Factor 2*n**2 - 62*n - 64.
2*(n - 32)*(n + 1)
Factor -5*b**2 + 50*b + 120.
-5*(b - 12)*(b + 2)
Factor -o**4 - 3*o**3 + o**2 + 3*o.
-o*(o - 1)*(o + 1)*(o + 3)
Solve q**2/3 + 31*q/3 + 130/3 = 0.
-26, -5
Find d such that 9*d**4 - 399*d**3 - 1119*d**2 - 429*d + 282 = 0.
-2, -1, 1/3, 47
Solve -q**4/3 - 61*q**3/3 - 59*q**2/3 + 61*q/3 + 20 = 0 for q.
-60, -1, 1
Solve 4*n**5/3 - 44*n**4/3 + 124*n**3/3 - 28*n**2 = 0 for n.
0, 1, 3, 7
Solve 4*k**5 + 12*k**4/5 - 69*k**3/5 - 67*k**2/5 - 6*k/5 = 0 for k.
-3/2, -1, -1/10, 0, 2
Let -p**4 + 2*p**3 + 25*p**2 - 2*p - 24 = 0. Calculate p.
-4, -1, 1, 6
Factor 2*z**4/3 + 6*z**3 - 38*z**2 - 130*z/3.
2*z*(z - 5)*(z + 1)*(z + 13)/3
Suppose -u**2 + 1028*u - 264196 = 0. What is u?
514
Suppose -3*g**3/2 + 1272*g**2 - 5079*g/2 + 1269 = 0. What is g?
1, 846
Let -2*u**4/5 - 152*u**3/5 - 3176*u**2/5 - 10944*u/5 - 10368/5 = 0. Calculate u.
-36, -2
Factor 4*p**3 + 36*p**2.
4*p**2*(p + 9)
Suppose -5*t**5 - 15*t**4 + 15*t**3 + 55*t**2 + 30*t = 0. What is t?
-3, -1, 0, 2
Suppose 2*s**3/11 - 590*s**2/11 - 592*s/11 = 0. Calculate s.
-1, 0, 296
Factor l**5/2 + 201*l**4 + 400*l**3 - l**2 - 801*l/2 - 200.
(l - 1)*(l + 1)**3*(l + 400)/2
Factor -g**2/4 - 131*g/2.
-g*(g + 262)/4
Find k, given that -2*k**2/13 + 2342*k/13 + 2344/13 = 0.
-1, 1172
Determine o, given that -5*o**5 - 50*o**4 - 110*o**3 - 20*o**2 + 115*o + 70 = 0.
-7, -2, -1, 1
Let 3*o**4/7 + 9*o**3 - 393*o**2/7 - 9*o + 390/7 = 0. What is o?
-26, -1, 1, 5
Factor -4*f**4 + 288*f**3 - 5724*f**2 + 19312*f - 13872.
-4*(f - 34)**2*(f - 3)*(f - 1)
Factor -3*r**2 + 2205*r.
-3*r*(r - 735)
What is n in 12*n**5 - 59*n**4 + 82*n**3 - 41*n**2 + 6*n = 0?
0, 1/4, 2/3, 1, 3
Suppose 4*d**4 + 136*d**3 - 436*d**2 + 296*d = 0. What is d?
-37, 0, 1, 2
Let -2*i**4 - 10*i**3 - 12*i**2 = 0. What is i?
-3, -2, 0
Suppose -c**4/6 + 5*c**3/6 - 5*c**2/6 - 5*c/6 + 1 = 0. Calculate c.
-1, 1, 2, 3
Factor p**3/3 - 7913*p**2/3 + 15657848*p/3 - 15649936/3.
(p - 3956)**2*(p - 1)/3
Factor 2*j**2/7 + 68*j/7 + 578/7.
2*(j + 17)**2/7
Factor 2*a**4/21 + 100*a**3/21 + 14*a**2/3.
2*a**2*(a + 1)*(a + 49)/21
Find v such that -5*v**2 - 85530*v - 365769045 = 0.
-8553
Suppose -35*d**5 + 100*d**4 - 90*d**3 + 20*d**2 + 5*d = 0. Calculate d.
-1/7, 0, 1
Factor -3*f**5 + 12*f**4 - 18*f**3 + 12*f**2 - 3*f.
-3*f*(f - 1)**4
Factor -p**3 - 449*p**2 - 51067*p - 149187.
-(p + 3)*(p + 223)**2
Factor o**2/4 + 5*o/2 + 4.
(o + 2)*(o + 8)/4
Factor v**2 - 6*v + 5.
(v - 5)*(v - 1)
Determine w, given that w**5/6 - 13*w**4/3 + 59*w**3/2 - 214*w**2/3 + 170*w/3 = 0.
0, 2, 5, 17
Determine d so that -2*d**5/7 - 4*d**4/7 - 2*d**3/7 = 0.
-1, 0
Determine v so that v**3 - 3*v**2 + 2*v = 0.
0, 1, 2
Factor 3*p**5 + 213*p**4 + 4089*p**3 + 11019*p**2 + 10608*p + 3468.
3*(p + 1)**3*(p + 34)**2
What is w in 35*w**4 - 2390*w**3 - 42405*w**2 - 28360*w + 11620 = 0?
-14, -1, 2/7, 83
Factor -3*f**5 + 75*f**4 - 207*f**3 + 201*f**2 - 66*f.
-3*f*(f - 22)*(f - 1)**3
Determine s, given that -s**3 + 152*s**2 - 5776*s = 0.
0, 76
Factor -2*a**4/5 + 24*a**3/5 + 26*a**2/5.
-2*a**2*(a - 13)*(a + 1)/5
Factor -b**3/2 + 210*b**2 + 421*b/2.
-b*(b - 421)*(b + 1)/2
Find h, given that -2*h**2/13 + 256*h/13 - 254/13 = 0.
1, 127
Find x suc