0, 8
Factor t**3/3 + 14*t**2/3 - 56*t/3 - 128.
(t - 6)*(t + 4)*(t + 16)/3
Factor 6*o**5/11 - 468*o**4/11 + 12096*o**3/11 - 9408*o**2.
6*o**2*(o - 28)**2*(o - 22)/11
Find n, given that -2*n**3 - 184*n**2/9 - 328*n/9 - 64/9 = 0.
-8, -2, -2/9
Factor y**4 + 3*y**3 + y**2 - 3*y - 2.
(y - 1)*(y + 1)**2*(y + 2)
Solve -2*o**5/9 - 28*o**4/9 - 32*o**3/3 + 28*o**2/9 + 98*o/9 = 0.
-7, -1, 0, 1
Solve -2*l**5/9 + 2*l**4 + 8*l**3 = 0 for l.
-3, 0, 12
Factor t**5/2 + 4*t**4 + 25*t**3/2 + 19*t**2 + 14*t + 4.
(t + 1)**2*(t + 2)**3/2
Factor -a**2/6 - 653*a/3 - 435/2.
-(a + 1)*(a + 1305)/6
Factor -4*s**3 - 21576*s**2 - 38793648*s - 23250326368.
-4*(s + 1798)**3
Factor 7*u**3/3 + 293*u**2/3 - 343*u/3 + 43/3.
(u - 1)*(u + 43)*(7*u - 1)/3
Find f such that -5*f**3 - 7295*f**2 - 14575*f - 7285 = 0.
-1457, -1
Factor 4*n**3 - 276*n**2 + 1304*n - 1536.
4*(n - 64)*(n - 3)*(n - 2)
Find b, given that -3*b**4 + 237*b**3 - 1134*b**2 + 1788*b - 888 = 0.
1, 2, 74
Factor -5*d**3 - 500*d**2 + 1535*d - 1030.
-5*(d - 2)*(d - 1)*(d + 103)
Factor -2*s**5/9 + 4*s**4/3 - 16*s**3/9 - 32*s**2/9 + 32*s/3 - 64/9.
-2*(s - 2)**4*(s + 2)/9
Determine c, given that 2*c**3 + 2148*c**2 + 8568*c + 8560 = 0.
-1070, -2
Solve 2*c**4/7 + 136*c**3/7 + 3072*c**2/7 + 23040*c/7 = 0.
-24, -20, 0
Suppose -v**3/2 - 155*v**2/6 + 188*v/3 - 18 = 0. What is v?
-54, 1/3, 2
Find q such that -q**5 + 6*q**4 + 47*q**3 - 36*q**2 - 316*q - 240 = 0.
-4, -2, -1, 3, 10
Factor -4*i**3/5 - 16*i**2/5 + 76*i/5 - 56/5.
-4*(i - 2)*(i - 1)*(i + 7)/5
Factor -3*s**3/7 - 27*s**2/7 + 372*s/7 - 612/7.
-3*(s - 6)*(s - 2)*(s + 17)/7
Factor 5*h**5 - 25*h**4 + 35*h**3 - 15*h**2.
5*h**2*(h - 3)*(h - 1)**2
Factor -15*o**2 + 797*o - 106.
-(o - 53)*(15*o - 2)
What is o in 2*o**3/9 - 2*o**2/3 - 2*o + 6 = 0?
-3, 3
Suppose -p**2 - 3474*p - 3017169 = 0. Calculate p.
-1737
Solve p**4/5 - 3*p**3/5 - p**2/5 + 3*p/5 = 0 for p.
-1, 0, 1, 3
Factor -2*m**2 + 1848*m + 1850.
-2*(m - 925)*(m + 1)
Factor -n**5/3 + 5*n**4/3 - 7*n**3/3 + n**2.
-n**2*(n - 3)*(n - 1)**2/3
Factor -h**4/2 - 13*h**3/2 - 43*h**2/2 - 15*h/2 + 36.
-(h - 1)*(h + 3)**2*(h + 8)/2
Factor -2*u**3 - 28*u**2 - 78*u + 108.
-2*(u - 1)*(u + 6)*(u + 9)
Factor 3*q**2/2 + 93*q/2.
3*q*(q + 31)/2
Find v such that 4*v**3 - 52*v - 48 = 0.
-3, -1, 4
Determine r so that r**5/3 - r**4/3 - 7*r**3/3 + r**2/3 + 2*r = 0.
-2, -1, 0, 1, 3
Let 2*r**5 + 14*r**4 - 4*r**3 - 200*r**2 - 464*r - 320 = 0. Calculate r.
-5, -2, 4
Find n such that 2*n**2/3 - 44*n + 726 = 0.
33
Find i, given that -2*i**4/9 - 4*i**3 - 16*i**2/9 + 448*i/3 - 256 = 0.
-12, 2, 4
Find l, given that l**3/3 + 37*l**2/3 + 45*l + 33 = 0.
-33, -3, -1
Factor 5*c**5 - 120*c**4 + 960*c**3 - 2560*c**2.
5*c**2*(c - 8)**3
Let -2*w**2/9 - 26*w/9 + 28/9 = 0. Calculate w.
-14, 1
What is m in 288*m**3/11 - 48*m**2/11 - 238*m/11 + 98/11 = 0?
-1, 7/12
Factor -w**4 - 62*w**3 + 259*w**2 - 328*w + 132.
-(w - 2)*(w - 1)**2*(w + 66)
Factor -33*w**3 - 216*w**2 - 405*w - 162.
-3*(w + 3)**2*(11*w + 6)
Factor 2*h**3 + 36*h**2 + 216*h + 432.
2*(h + 6)**3
Factor 3*r**3/7 - 309*r**2/7 - 318*r/7 + 624/7.
3*(r - 104)*(r - 1)*(r + 2)/7
Find n such that -4*n**4/3 - 13*n**3 + 14*n**2/3 + 13*n - 10/3 = 0.
-10, -1, 1/4, 1
Solve 5*r**3 + 495*r**2 - 2040*r + 2060 = 0.
-103, 2
What is a in 15*a**5/4 + 119*a**4/2 + 913*a**3/4 - 183*a**2/2 - 232*a + 32 = 0?
-8, -1, 2/15, 1
Let -2*c**5 + 18*c**4 - 52*c**3 + 68*c**2 - 42*c + 10 = 0. Calculate c.
1, 5
Determine b, given that 189*b**3 - 186*b**2 - 381*b - 6 = 0.
-1, -1/63, 2
Factor 8*j**3/9 + 34*j**2/9 - 760*j/9 - 64/3.
2*(j - 8)*(j + 12)*(4*j + 1)/9
Factor -u**5/4 - 297*u**4/4 - 29403*u**3/4 - 970299*u**2/4.
-u**2*(u + 99)**3/4
Factor -k**4/2 + 947*k**3/2 + 2847*k**2/2 + 2849*k/2 + 475.
-(k - 950)*(k + 1)**3/2
Let -z**2/5 - 335*z - 1674/5 = 0. Calculate z.
-1674, -1
Suppose 2*q**4/7 + 50*q**3/7 + 54*q**2 + 486*q/7 - 2916/7 = 0. Calculate q.
-9, 2
Let 2*o**5 + 24*o**4 + 92*o**3 + 120*o**2 + 50*o = 0. Calculate o.
-5, -1, 0
Determine d so that 68*d**2 + 124*d - 24 = 0.
-2, 3/17
Determine t, given that t**3/2 + 25*t**2/2 + 47*t/2 + 23/2 = 0.
-23, -1
Let -5*i**3 + 70*i**2 + 155*i + 80 = 0. Calculate i.
-1, 16
Factor -2*f**2/15 - 8*f/15.
-2*f*(f + 4)/15
Factor -7*b**5/2 - 41*b**4/3 - 59*b**3/3 - 12*b**2 - 13*b/6 + 1/3.
-(b + 1)**4*(21*b - 2)/6
Solve 5*t**5 + 30*t**4 + 35*t**3 - 30*t**2 - 40*t = 0 for t.
-4, -2, -1, 0, 1
Factor 3*n**5/2 + 43*n**4/2 - 147*n**3/2 + 153*n**2/2 - 26*n.
n*(n - 1)**3*(3*n + 52)/2
Factor 2*l**3 - 80*l**2 + 154*l - 76.
2*(l - 38)*(l - 1)**2
Determine f so that -f**2 - 218*f - 11881 = 0.
-109
Factor -15900*b**3 + 8640*b**2 - 891*b - 81.
-3*(10*b - 3)**2*(53*b + 3)
Factor 5*h**3 + 215*h**2 + 600*h.
5*h*(h + 3)*(h + 40)
Factor -5*d**2 + 40*d + 165.
-5*(d - 11)*(d + 3)
Suppose -2*n**2 + 16644*n - 34627842 = 0. What is n?
4161
Suppose 2*n**5/7 - 2*n**4/7 - 18*n**3/7 + 26*n**2/7 + 16*n/7 - 24/7 = 0. What is n?
-3, -1, 1, 2
Factor -2*l**2/11 + 10*l/11 - 8/11.
-2*(l - 4)*(l - 1)/11
Factor 3*t**3 - 6*t**2 - 60*t - 72.
3*(t - 6)*(t + 2)**2
What is x in -3*x**4 + 3*x**3 + 48*x**2 - 48*x = 0?
-4, 0, 1, 4
Suppose -4*n**3 + 101*n**2/2 - 201*n/2 - 45 = 0. What is n?
-3/8, 3, 10
Let -m**5/5 - 7*m**4/5 - 2*m**3 + 4*m**2 + 56*m/5 + 32/5 = 0. What is m?
-4, -2, -1, 2
Factor -2*p**3/5 - 72*p**2/5 - 318*p/5 - 248/5.
-2*(p + 1)*(p + 4)*(p + 31)/5
Find r, given that 3*r**4 + 24*r**3 + 66*r**2 + 72*r + 27 = 0.
-3, -1
Factor l**2/4 - 25*l/4 + 23/2.
(l - 23)*(l - 2)/4
Factor 4*p**4 - 88*p**3 + 308*p**2 - 368*p + 144.
4*(p - 18)*(p - 2)*(p - 1)**2
Find z such that -z**2/2 + 14*z - 98 = 0.
14
Let -3*n**4/4 + 39*n**3/2 - 219*n**2/4 - 261*n + 297 = 0. Calculate n.
-3, 1, 6, 22
Solve 5*v**2 - 25*v = 0 for v.
0, 5
Let -36*q**5 - 516*q**4 - 2488*q**3 - 4728*q**2 - 3876*q - 1156 = 0. What is q?
-17/3, -1
Factor -2*d**2/17 - 772*d/17 - 74498/17.
-2*(d + 193)**2/17
Determine y, given that 4*y**4 - 56*y**3 + 144*y**2 - 136*y + 44 = 0.
1, 11
Factor 5*a**2 + 685*a - 1390.
5*(a - 2)*(a + 139)
Factor 5*j**2/4 - 140*j - 285.
5*(j - 114)*(j + 2)/4
Factor 2*y**2/7 + 26*y/7 - 180/7.
2*(y - 5)*(y + 18)/7
Factor -o**2/2 + 2237*o/2 + 1119.
-(o - 2238)*(o + 1)/2
Solve 50*b**4/11 - 340*b**3/11 + 498*b**2/11 - 248*b/11 + 40/11 = 0 for b.
2/5, 1, 5
Factor 243*c**4 + 1188*c**3 + 642*c**2 - 1980*c + 675.
3*(c + 3)**2*(9*c - 5)**2
Solve -2*v**2 - 4*v - 2 = 0 for v.
-1
Factor 2*q**4/11 + 38*q**3/11 - 126*q**2/11 + 130*q/11 - 4.
2*(q - 1)**3*(q + 22)/11
Solve 2*w**4/19 - 2*w**3/19 - 16*w**2/19 + 24*w/19 = 0 for w.
-3, 0, 2
Factor 4*n**3 + 16716*n**2 + 23285388*n + 10812181828.
4*(n + 1393)**3
Let u**2/3 + 25*u/3 + 8 = 0. Calculate u.
-24, -1
What is o in 2*o**4 + 6*o**3 - 2*o**2 - 6*o = 0?
-3, -1, 0, 1
Factor -5*w**2/3 - 395*w/3 + 11110/3.
-5*(w - 22)*(w + 101)/3
What is d in -250*d**5/3 + 1150*d**4 - 2120*d**3/3 - 6016*d**2/3 - 960*d - 416/3 = 0?
-2/5, 2, 13
Solve -m**4 - 69*m**3 + 3*m**2 + 205*m - 138 = 0.
-69, -2, 1
Factor -3*f**2 + 18*f.
-3*f*(f - 6)
Determine b so that -3*b**5/5 - 14*b**4/5 - 7*b**3/5 + 4*b**2/5 = 0.
-4, -1, 0, 1/3
Suppose 2*u**4/5 - 14*u**3/5 - 54*u**2/5 - 58*u/5 - 4 = 0. What is u?
-1, 10
Factor n**3/3 - 11*n**2 + 72*n + 324.
(n - 18)**2*(n + 3)/3
Find x, given that x**3 + 8*x**2 + 19*x + 12 = 0.
-4, -3, -1
Solve u**3/4 + 5*u**2 + 117*u/4 + 81/2 = 0 for u.
-9, -2
Suppose -185*u**5 + 935*u**4 + 2725*u**3 - 1075*u**2 - 2540*u + 140 = 0. Calculate u.
-2, -1, 2/37, 1, 7
Suppose -25*l**5/2 - 110*l**4 + 291*l**3/2 - 45*l**2 = 0. What is l?
-10, 0, 3/5
Factor -8*c**4/9 + 10*c**3/3.
-2*c**3*(4*c - 15)/9
Solve 3*r**4 + 21*r**3 - 54*r**2 = 0.
-9, 0, 2
Find l such that -18*l**5 + 69*l**4 - 45*l**3 - 66*l**2 + 36*l + 24 = 0.
-2/3, -1/2, 1, 2
Factor 4*z**4 - 28*z**3 - 4*z**2 + 28*z.
4*z*(z - 7)*(z - 1)*(z + 1)
Determine z, given that z**4 - 30*z**3 - 181*z**2 + 210*z = 0.
-6, 0, 1, 35
Factor -2*m**3/5 - 26*m**2 - 1976*m/5 - 1848/5.
-2*(m + 1)*(m + 22)*(m + 42)/5
Factor 2*r**4/21 - 2*r**3/21 - 8*r**2/21 + 8*r/21.
2*r*(r - 2)*(r - 1)*(r + 2)/21
Factor 5*j**3 + 1975*j**2 + 5890*j + 3920.
5*(j + 1)*(j + 2)*(j + 392)
Determine s so that 2*s**3 - 498*s**2 + 2428*s + 2928 = 0.
-1, 6, 244
Let 3*m**5 + 78*m**4 - 9*m**3 - 228*m**2 + 156*m = 0. Calculate m.
-26, -2, 0, 1
Solve -2*j**3 - 182*j**2 - 358*j - 178 = 0 for j.
-89, -1
Factor g**2/3 + 200*g/3 + 199/3.
(g + 1