**2*(h - 11)*(h - 1)**2
Factor p**4/5 - 4*p**3/5 + 4*p**2/5.
p**2*(p - 2)**2/5
Factor 2*p**4/9 + 178*p**3/9 + 1136*p**2/3 + 2080*p.
2*p*(p + 12)**2*(p + 65)/9
Factor x**2/4 + 33*x/4 + 8.
(x + 1)*(x + 32)/4
Factor 4*c**5 - 1036*c**4 + 65512*c**3 + 202792*c**2 + 204884*c + 68644.
4*(c - 131)**2*(c + 1)**3
Factor -m**3/2 - 393*m**2/2.
-m**2*(m + 393)/2
Suppose 4*t**4 - 4*t**3 - 4*t**2 + 4*t = 0. What is t?
-1, 0, 1
Suppose 2*g**4 + 4*g**3 - 26*g**2 + 20*g = 0. What is g?
-5, 0, 1, 2
Determine a, given that 3*a**5 - 30*a**4 + 84*a**3 + 24*a**2 - 384*a + 384 = 0.
-2, 2, 4
Find s such that -2*s**5 + 322*s**4 + 1314*s**3 + 998*s**2 - 1312*s - 1320 = 0.
-2, -1, 1, 165
Factor -o**4/5 - o**3 - 8*o**2/5 - 4*o/5.
-o*(o + 1)*(o + 2)**2/5
Find d, given that -d**5/5 + 103*d**4/5 - 302*d**3/5 + 40*d**2 = 0.
0, 1, 2, 100
Factor h**5/3 - 7*h**4/6 - 17*h**3/2 + 99*h**2/2 - 153*h/2 + 27.
(h - 3)**3*(h + 6)*(2*h - 1)/6
Solve 4*h**2 - 4812*h = 0 for h.
0, 1203
Factor -3*t**3 - 93*t**2 - 597*t - 1035.
-3*(t + 3)*(t + 5)*(t + 23)
Factor -3*g**2/4 - 1293*g/4 + 1305.
-3*(g - 4)*(g + 435)/4
Factor q**5 + 2*q**4 - 6*q**3 - 4*q**2 + 13*q - 6.
(q - 1)**3*(q + 2)*(q + 3)
Solve y**2 + 4232*y + 4231 = 0 for y.
-4231, -1
Factor -5*a**5/4 + 15*a**4/2 - 65*a**3/4 + 15*a**2 - 5*a.
-5*a*(a - 2)**2*(a - 1)**2/4
Solve -m**2/3 + 64*m - 380/3 = 0 for m.
2, 190
Factor 2*a**2 - 4*a - 6.
2*(a - 3)*(a + 1)
Factor -2*o**2/3 + 58*o/3 + 124/3.
-2*(o - 31)*(o + 2)/3
Solve s**5 + 13*s**4 - 45*s**3 + 47*s**2 - 16*s = 0 for s.
-16, 0, 1
Factor 2*y**5/9 - 34*y**4/9 + 176*y**3/9 - 16*y**2 - 96*y + 96.
2*(y - 6)**3*(y - 1)*(y + 2)/9
Determine c so that -321*c**3 - 1290*c**2 + 1581*c + 30 = 0.
-5, -2/107, 1
Determine a, given that -a**4/6 - 10*a**3 + 62*a**2/3 = 0.
-62, 0, 2
Factor -2*h**3/9 + 26*h**2/3 - 80*h - 800/9.
-2*(h - 20)**2*(h + 1)/9
Let -2*p**2/13 + 8*p/13 + 24/13 = 0. Calculate p.
-2, 6
Suppose 12*d**3 - 20*d**2 - 8*d = 0. Calculate d.
-1/3, 0, 2
Factor -5*w**4 + 980*w**3 + 985*w**2.
-5*w**2*(w - 197)*(w + 1)
Determine v so that 4*v**2 + 4728*v + 1397124 = 0.
-591
Find q, given that -4*q**2 - 2088*q - 272484 = 0.
-261
Factor -3*o**5 + 45*o**4 - 144*o**3 - 192*o**2.
-3*o**2*(o - 8)**2*(o + 1)
Let a**3/2 - 141*a**2/2 - 143*a = 0. Calculate a.
-2, 0, 143
Suppose -c**4 - 36*c**3 + 972*c**2 + 23328*c - 419904 = 0. What is c?
-36, 18
Factor u**3/4 - 2*u**2 + 5*u - 4.
(u - 4)*(u - 2)**2/4
Factor 3*b**4 - 246*b**3 + 5856*b**2 - 30858*b - 36963.
3*(b - 37)**2*(b - 9)*(b + 1)
Factor -s**2 - 10*s.
-s*(s + 10)
Determine k, given that -4*k**5 - 88*k**4 - 420*k**3 - 592*k**2 - 256*k = 0.
-16, -4, -1, 0
Factor f**2/4 + 7*f/2 + 13/4.
(f + 1)*(f + 13)/4
Find m such that 2*m**2/7 - 120*m/7 - 122/7 = 0.
-1, 61
Suppose -4*w**2 + 68*w = 0. What is w?
0, 17
Determine m, given that -4*m**5 - 56*m**4 - 176*m**3 - 160*m**2 = 0.
-10, -2, 0
Factor -3*t**2 - 1638*t - 223587.
-3*(t + 273)**2
Suppose 5*j**3/4 + 175*j**2/4 - 45*j = 0. What is j?
-36, 0, 1
Factor -245*p**3/6 - 485*p**2/6 - 235*p/6 + 5/6.
-5*(p + 1)**2*(49*p - 1)/6
Let -20*h**4/21 + 22*h**3/3 + 428*h**2/21 + 314*h/21 + 20/7 = 0. Calculate h.
-1, -3/10, 10
Factor z**4/10 + 3*z**3/5 - 27*z**2/10 + 2*z/5 + 18/5.
(z - 2)**2*(z + 1)*(z + 9)/10
Find k, given that -k**5/7 - 65*k**4/7 - 367*k**3/7 - 779*k**2/7 - 712*k/7 - 236/7 = 0.
-59, -2, -1
Let 51*m**3 - 150*m**2 + 147*m - 48 = 0. Calculate m.
16/17, 1
Let 18*f**4/7 - 130*f**3/7 + 298*f**2/7 - 222*f/7 + 36/7 = 0. Calculate f.
2/9, 1, 3
Determine k, given that -20*k**3 + 252*k**2 + 104*k = 0.
-2/5, 0, 13
Let 10*u**2 - 75*u + 35 = 0. Calculate u.
1/2, 7
Solve -2*b**4/3 + 314*b**3/3 - 928*b**2/3 + 616*b/3 = 0.
0, 1, 2, 154
Suppose -12*c**4 + 1388*c**3 + 1868*c**2 + 468*c = 0. What is c?
-1, -1/3, 0, 117
Factor z**3/3 + z**2/3 - 4*z/3 - 4/3.
(z - 2)*(z + 1)*(z + 2)/3
Determine p, given that -4*p**3 - 208*p**2 + 1892*p - 1680 = 0.
-60, 1, 7
Determine g so that 3*g**5/8 - 21*g**4/8 + 6*g**3 - 9*g**2/2 = 0.
0, 2, 3
Find l, given that l**2/11 + 2*l + 57/11 = 0.
-19, -3
Factor -2*b**3/7 + 2138*b**2/7.
-2*b**2*(b - 1069)/7
Solve -2*s**4/15 - 1132*s**3/15 - 376*s**2/5 + 1132*s/15 + 226/3 = 0 for s.
-565, -1, 1
Let -3*h**4 + 27*h**3 - 12*h**2 - 108*h + 96 = 0. Calculate h.
-2, 1, 2, 8
Factor -b**4/2 + 12*b**3 - 119*b**2/2.
-b**2*(b - 17)*(b - 7)/2
Factor -2*x**3/17 - 24*x**2/17 - 82*x/17 - 60/17.
-2*(x + 1)*(x + 5)*(x + 6)/17
Factor -3*m**3/2 - 51*m**2/2 + 111*m/2 - 57/2.
-3*(m - 1)**2*(m + 19)/2
Factor 2*i**4 - 238*i**3 - 250*i**2 + 1206*i - 720.
2*(i - 120)*(i - 1)**2*(i + 3)
Let 182329*f**2/8 + 427*f/4 + 1/8 = 0. What is f?
-1/427
Factor -5*g**3 + 30*g**2 + 135*g.
-5*g*(g - 9)*(g + 3)
Factor -i**3/4 - 25*i**2/4 + 101*i/2 + 124.
-(i - 8)*(i + 2)*(i + 31)/4
Determine v so that 36*v**5 + 795*v**4 + 4572*v**3 + 4245*v**2 + 936*v = 0.
-13, -8, -3/4, -1/3, 0
Solve -2*o**2 - 42*o - 40 = 0 for o.
-20, -1
Factor t**4/7 + 4*t**3/7 - 32*t**2/7.
t**2*(t - 4)*(t + 8)/7
Factor o**5/3 - o**3 - 2*o**2/3.
o**2*(o - 2)*(o + 1)**2/3
Let -3*s**3/4 + 63*s**2/4 - 57*s/2 = 0. Calculate s.
0, 2, 19
Let a**4/2 - 321*a**2/2 + 1210*a - 1050 = 0. Calculate a.
-21, 1, 10
Factor -45*p**4 - 96*p**3 - 57*p**2 - 6*p.
-3*p*(p + 1)**2*(15*p + 2)
Let 2*k**4 - 2*k**3 - 14*k**2 + 2*k + 12 = 0. What is k?
-2, -1, 1, 3
Solve o**4/11 - 8*o**3/11 + 15*o**2/11 + 8*o/11 - 16/11 = 0.
-1, 1, 4
Let -4*h**4/3 - 38*h**3/3 - 128*h**2/3 - 184*h/3 - 32 = 0. What is h?
-4, -2, -3/2
Factor -2*u**3/3 - 2*u**2 + 2*u/3 + 2.
-2*(u - 1)*(u + 1)*(u + 3)/3
Factor -5*y**4 - 60*y**3 + 75*y**2 + 130*y.
-5*y*(y - 2)*(y + 1)*(y + 13)
Let -3*h**4/4 + 5*h**3/4 - h**2/4 - h/4 = 0. Calculate h.
-1/3, 0, 1
Factor 3*z**5/4 - 29*z**4/4 + 9*z**3/2.
z**3*(z - 9)*(3*z - 2)/4
Factor -y**4/3 + y**2/3.
-y**2*(y - 1)*(y + 1)/3
Suppose 4*k**3 + 996*k**2 + 62496*k + 61504 = 0. What is k?
-124, -1
Factor -5*i**4 + 265*i**3 + 3150*i**2.
-5*i**2*(i - 63)*(i + 10)
Determine i so that 2*i**2/3 + 1382*i/3 - 5560/3 = 0.
-695, 4
Solve 14*f**4/9 + 1648*f**3/9 - 472*f**2/9 = 0 for f.
-118, 0, 2/7
Suppose 2*r**3/15 - 70*r**2 + 46112*r/5 - 137288/15 = 0. What is r?
1, 262
Factor o**4 - 18*o**3 - 60*o**2 - 62*o - 21.
(o - 21)*(o + 1)**3
Find g, given that 4*g**5 - 100*g**4 + 384*g**3 + 4192*g**2 - 13888*g + 9408 = 0.
-6, 1, 2, 14
Solve -5*l**4/2 + 90*l**3 - 2025*l**2/2 + 3375*l = 0 for l.
0, 6, 15
Factor 4*s**2/5 - 472*s/5 + 13924/5.
4*(s - 59)**2/5
Factor 4*a**4 - 72*a**3 + 68*a**2.
4*a**2*(a - 17)*(a - 1)
Solve k**4 - 3*k**3 + k**2 + 3*k - 2 = 0.
-1, 1, 2
Factor 15*t**2 + 20*t - 20.
5*(t + 2)*(3*t - 2)
Let 2*k**5/5 - 2*k**4 - 12*k**3/5 = 0. What is k?
-1, 0, 6
Let -4*x**4/9 + 2044*x**3/9 - 260096*x**2/9 - 262144*x/9 = 0. What is x?
-1, 0, 256
Suppose n**3/3 - 81*n**2 - 244*n/3 = 0. Calculate n.
-1, 0, 244
Determine g so that 9*g**4 - 345*g**3/2 - 153*g**2 + 117*g/2 + 30 = 0.
-1, -1/3, 1/2, 20
Solve b**2 - 168*b + 7056 = 0 for b.
84
Factor -2*r**3 + 108*r**2.
-2*r**2*(r - 54)
Suppose 2*c**3/11 + 360*c**2/11 + 21600*c/11 + 432000/11 = 0. What is c?
-60
Factor -3*v**2 - 324*v + 327.
-3*(v - 1)*(v + 109)
Find t such that -t**3/4 - 55*t**2/4 - 184*t = 0.
-32, -23, 0
Determine k, given that k**4/2 + 6*k**3 + 45*k**2/2 + 25*k = 0.
-5, -2, 0
Determine i, given that i**3 - 12*i**2 - 27*i - 14 = 0.
-1, 14
Find z such that 2*z**5/7 - 22*z**4/7 + 36*z**3/7 = 0.
0, 2, 9
Suppose 4*y**4 - 28*y**3 + 12*y**2 + 124*y + 80 = 0. Calculate y.
-1, 4, 5
Solve -x**3/2 - 99*x**2/2 - 1092*x + 6760 = 0 for x.
-52, 5
Suppose v**4/2 - 4*v**3 + 6*v**2 = 0. What is v?
0, 2, 6
Suppose l**5/4 - 19*l**4/4 + 15*l**3/4 + 59*l**2/4 - 23*l + 9 = 0. Calculate l.
-2, 1, 18
Find f, given that 2*f**5/3 + 29*f**4/3 + 88*f**3/3 - 59*f**2/3 - 136*f - 60 = 0.
-10, -3, -1/2, 2
Determine b, given that 3*b**4/5 + 87*b**3/5 + 222*b**2/5 - 312*b/5 = 0.
-26, -4, 0, 1
Find u, given that u**4/3 + 2*u**3/3 - 28*u**2/3 + 46*u/3 - 7 = 0.
-7, 1, 3
What is c in 5*c**3 + 280*c**2 - 285*c = 0?
-57, 0, 1
Determine n, given that -26*n**3 - 15076*n**2 - 2184280*n + 336400 = 0.
-290, 2/13
Find w, given that -12*w**5 + 16*w**4 + 164*w**3 - 344*w**2 + 96*w = 0.
-4, 0, 1/3, 2, 3
Determine p, given that -p**3 - 19*p**2 + 41*p - 21 = 0.
-21, 1
Determine q, given that -q**3 + 23*q**2 - 20*q - 44 = 0.
-1, 2, 22
Factor -5*z**2/2 + 365*z/2 + 1400.
-5*(z - 80)*(z + 7)/2
Solve