6.
-(h + 1)*(h + 172)*(7*h - 2)/4
Suppose 2*d**2/13 + 6*d/13 + 4/13 = 0. What is d?
-2, -1
Factor -d**3/3 - 2*d**2 - 3*d - 4/3.
-(d + 1)**2*(d + 4)/3
Solve 5*m**2 - 20*m = 0.
0, 4
Factor 5*t**2/6 - 15*t/2 + 20/3.
5*(t - 8)*(t - 1)/6
Determine c so that -c**2/3 + 25*c/3 - 38 = 0.
6, 19
Factor -j**3/7 + 162*j**2/7 + 499*j/7 - 660/7.
-(j - 165)*(j - 1)*(j + 4)/7
Factor -5*o**4 - 50*o**3 - 155*o**2 - 150*o.
-5*o*(o + 2)*(o + 3)*(o + 5)
Suppose 2*h**5/21 + 2*h**4/3 + 4*h**3/3 + 4*h**2/21 - 10*h/7 - 6/7 = 0. What is h?
-3, -1, 1
Determine d, given that -2*d**3/11 + 802*d**2/11 - 1598*d/11 + 798/11 = 0.
1, 399
Find s, given that -2*s**3/13 - 58*s**2/13 - 56*s/13 = 0.
-28, -1, 0
Let r**2/2 + 33*r - 1411/2 = 0. Calculate r.
-83, 17
Factor 16*m**3 + 4*m**2 - 64*m - 16.
4*(m - 2)*(m + 2)*(4*m + 1)
Factor -5*v**4 + 10*v**3 + 15*v**2 - 20*v - 20.
-5*(v - 2)**2*(v + 1)**2
Let -50*w**5 - 460*w**4 - 408*w**3 + 560*w**2 - 128*w = 0. Calculate w.
-8, -2, 0, 2/5
Solve 4*l**2 - 188*l - 192 = 0 for l.
-1, 48
What is c in 3*c**3/2 - 93*c**2/2 - 1743*c/2 - 6615/2 = 0?
-7, 45
Factor -4*i**3 + 88*i**2.
-4*i**2*(i - 22)
Factor -2*l**2/7 + 1352*l/7 - 228488/7.
-2*(l - 338)**2/7
Suppose -2*f**3/13 + 372*f**2/13 - 23064*f/13 + 476656/13 = 0. Calculate f.
62
What is k in 4*k**2/9 + 160*k/9 + 1024/9 = 0?
-32, -8
Solve 10*m**4 - 115*m**3 - 1060*m**2 - 1940*m - 720 = 0 for m.
-4, -2, -1/2, 18
Factor -2*d**2/7 + 8*d + 330/7.
-2*(d - 33)*(d + 5)/7
Find c such that c**4 + 3*c**3 - 25*c**2 - 39*c + 180 = 0.
-5, -4, 3
Find o, given that 5*o**2 - 25*o - 120 = 0.
-3, 8
What is l in 3*l**4 - 291*l**3 + 9504*l**2 - 107520*l + 98304 = 0?
1, 32
Factor 3*t**3 + 159*t**2 - 162*t.
3*t*(t - 1)*(t + 54)
Factor -3*y**2 + 9864*y - 8108208.
-3*(y - 1644)**2
Determine p so that p**3/3 - 98*p**2 + 9604*p - 941192/3 = 0.
98
Let a**4/2 - 7*a**3/2 - 8*a**2 + 56*a = 0. What is a?
-4, 0, 4, 7
Factor -4*o**3/7 + 4*o**2 + 72*o/7.
-4*o*(o - 9)*(o + 2)/7
Factor t**4 + 71*t**3 + 1293*t**2 + 1085*t - 2450.
(t - 1)*(t + 2)*(t + 35)**2
Factor -2*p**2/7 - 52*p/7 + 310/7.
-2*(p - 5)*(p + 31)/7
Suppose -2*a**5/3 - 22*a**4/3 - 4*a**3 + 188*a**2/3 - 242*a/3 + 30 = 0. Calculate a.
-9, -5, 1
Let 2*c**5/3 - 112*c**4 - 338*c**3/3 = 0. Calculate c.
-1, 0, 169
Suppose i**4/2 - 73*i**3/2 - 1875*i**2/2 - 9427*i/2 + 5687 = 0. Calculate i.
-11, 1, 94
Factor c**5/6 - 5*c**4/2 + 71*c**3/6 - 133*c**2/6 + 18*c - 16/3.
(c - 8)*(c - 4)*(c - 1)**3/6
Factor -v**3/3 + 29*v**2/3 + v/3 - 29/3.
-(v - 29)*(v - 1)*(v + 1)/3
Solve -v**2/6 + 34*v/3 = 0 for v.
0, 68
Factor -2*r**3 + 160*r**2 - 3200*r.
-2*r*(r - 40)**2
Solve f**2 - 2350*f + 1380625 = 0 for f.
1175
Suppose 2*o**3/7 - 16*o**2/7 = 0. What is o?
0, 8
Determine x so that -8*x**5/3 - 46*x**4 + 422*x**3/3 - 358*x**2/3 + 14*x + 40/3 = 0.
-20, -1/4, 1
Factor g**2 - 36*g - 1120.
(g - 56)*(g + 20)
Find m such that -2*m**2 - 18*m - 28 = 0.
-7, -2
Let 5*n**2/3 - 25*n/3 + 20/3 = 0. What is n?
1, 4
Solve 92*p**3 - 192*p**2 + 108*p - 8 = 0.
2/23, 1
Determine o, given that -2*o**2/9 + 14*o/9 = 0.
0, 7
Let b**4 - 3*b**3/4 - 17*b**2/4 + 3*b + 1 = 0. Calculate b.
-2, -1/4, 1, 2
Factor 2*g**3/19 + 84*g**2/19 + 312*g/19 + 16.
2*(g + 2)**2*(g + 38)/19
Find w such that 162*w**5/5 + 72*w**4/5 - 1126*w**3/5 + 468*w**2/5 + 376*w/5 + 48/5 = 0.
-3, -2/9, 1, 2
What is o in 222*o**4/7 + 21*o**3 - 204*o**2/7 - 21*o - 18/7 = 0?
-1, -1/2, -6/37, 1
Factor -5*f**3/3 + 23085*f**2 - 106583445*f + 164031921855.
-5*(f - 4617)**3/3
Find r such that 4*r**4 + 5248*r**3 + 1716088*r**2 - 3447936*r + 1726596 = 0.
-657, 1
Factor 4*c**2 - 44*c + 72.
4*(c - 9)*(c - 2)
Let -2*r**4/13 + 18*r**3/13 - 58*r**2/13 + 6*r - 36/13 = 0. Calculate r.
1, 2, 3
Let 88*v**3 - 84*v**2 - 180*v - 8 = 0. What is v?
-1, -1/22, 2
Find d such that d**4/8 + 19*d**3/4 + 357*d**2/8 = 0.
-21, -17, 0
Factor 5*x**3 - 635*x**2 - 3270*x - 3960.
5*(x - 132)*(x + 2)*(x + 3)
Let -10*x**5 + 65*x**4 + 570*x**3 + 1060*x**2 + 280*x - 480 = 0. What is x?
-2, 1/2, 12
Let -5*r**2 - 105*r + 230 = 0. Calculate r.
-23, 2
Solve 502445*u**2 - 19020*u + 180 = 0.
6/317
Solve -x**5/11 - 2*x**4/11 + 65*x**3/11 - 14*x**2 - 20*x/11 + 200/11 = 0 for x.
-10, -1, 2, 5
Find v such that -14*v**3/3 + 74*v**2/3 - 76*v/3 + 16/3 = 0.
2/7, 1, 4
Factor w**3/2 - 390*w**2 + 76050*w.
w*(w - 390)**2/2
Solve -2*p**3/21 + 80*p**2/21 + 6*p/7 - 240/7 = 0.
-3, 3, 40
Factor -4*h**3/5 - 84*h**2/5 - 156*h/5 - 76/5.
-4*(h + 1)**2*(h + 19)/5
Find b such that 5*b**5 - 5*b**4 - 30*b**3 - 10*b**2 + 25*b + 15 = 0.
-1, 1, 3
Factor -3*v**2/8 - 153*v - 15606.
-3*(v + 204)**2/8
Factor 2*g**2 + 292*g - 294.
2*(g - 1)*(g + 147)
Determine c, given that 14*c**4/9 - 38*c**3/9 - 116*c**2/3 + 1024*c/9 + 320/9 = 0.
-5, -2/7, 4
Factor t**4 - 26*t**3 + 72*t**2 - 70*t + 23.
(t - 23)*(t - 1)**3
Solve -x**2 + 14*x + 32 = 0.
-2, 16
Determine t so that 5329*t**4 - 26937*t**3 + 22780*t**2 - 1188*t + 16 = 0.
2/73, 1, 4
Factor -n**5 + 2*n**4 + 10*n**3 - 8*n**2 - 33*n - 18.
-(n - 3)**2*(n + 1)**2*(n + 2)
Determine t so that -2*t**3/7 - 24*t**2/7 = 0.
-12, 0
Solve 4*h**3 + 32*h**2 + 64*h = 0 for h.
-4, 0
Factor j**2/4 + 32*j + 1287/4.
(j + 11)*(j + 117)/4
Let -15*k**5 - 804*k**4 - 10611*k**3 + 4374*k**2 = 0. What is k?
-27, 0, 2/5
Let 4*u**3 + 84*u**2 + 216*u = 0. Calculate u.
-18, -3, 0
Factor 3*i**5/2 - 8*i**4/3 + 5*i**3/6 + i**2/3.
i**2*(i - 1)**2*(9*i + 2)/6
Factor 5*d**2 - 245*d + 470.
5*(d - 47)*(d - 2)
Factor -s**2 + 303*s.
-s*(s - 303)
Factor -n**4/4 - 3*n**3/4 + 5*n**2/4 + 3*n/4 - 1.
-(n - 1)**2*(n + 1)*(n + 4)/4
Factor 2*f**5/7 - 52*f**4/7 - 16*f**3.
2*f**3*(f - 28)*(f + 2)/7
Factor 2*w**2/5 - 1912*w/5 + 456968/5.
2*(w - 478)**2/5
Let 4*h**5/5 + 20*h**4 - 8*h**3/5 - 40*h**2 + 4*h/5 + 20 = 0. What is h?
-25, -1, 1
Factor -2*r**3/9 + 4*r**2/9 + 2*r - 4.
-2*(r - 3)*(r - 2)*(r + 3)/9
Solve -4*y**5/5 - 4*y**4 + 12*y**3 + 4*y**2 - 56*y/5 = 0 for y.
-7, -1, 0, 1, 2
Suppose 5*n**4 - 10*n**3 - 120*n**2 = 0. Calculate n.
-4, 0, 6
Determine h, given that -4*h**5 - 12*h**4 - 12*h**3 - 4*h**2 = 0.
-1, 0
Factor 4*q**3/9 - 1804*q**2/9 + 3592*q/9.
4*q*(q - 449)*(q - 2)/9
Find r such that -4*r**4 + 152*r**3 - 764*r**2 - 152*r + 768 = 0.
-1, 1, 6, 32
Factor 4*l**2 - 68*l + 264.
4*(l - 11)*(l - 6)
Determine k, given that 2*k**2/5 + 222*k - 1112/5 = 0.
-556, 1
Factor -4*c**2 + 344*c - 340.
-4*(c - 85)*(c - 1)
Determine s so that -s**2/4 + 61*s/4 + 308 = 0.
-16, 77
Determine b so that -2*b**3/5 - 8*b**2/5 + 22*b/5 - 12/5 = 0.
-6, 1
Factor 13*z**3 - 41*z**2 - 46*z + 8.
(z - 4)*(z + 1)*(13*z - 2)
Factor -4*g**3/9 + 8*g**2/3 + 916*g/9 - 104.
-4*(g - 18)*(g - 1)*(g + 13)/9
Suppose -2*o**5 + 14*o**4/3 - 4*o**3/3 - 4*o**2 + 10*o/3 - 2/3 = 0. What is o?
-1, 1/3, 1
Solve 3*z**5 - 108*z**4 + 555*z**3 - 450*z**2 = 0.
0, 1, 5, 30
Factor q**3/3 + 33*q**2 + 833*q + 2401/3.
(q + 1)*(q + 49)**2/3
Let -16*s**4 - 44*s**3 - 20*s**2 + 8*s = 0. What is s?
-2, -1, 0, 1/4
Factor g**2.
g**2
Solve -k**2/5 - 48*k/5 - 576/5 = 0.
-24
Factor -4*z**3 + 132*z**2 + 4*z - 132.
-4*(z - 33)*(z - 1)*(z + 1)
Find y, given that -3*y**3/4 + 141*y**2/4 - 2193*y/4 + 11271/4 = 0.
13, 17
Factor -5*w**3/3 + 4*w**2 - 3*w + 2/3.
-(w - 1)**2*(5*w - 2)/3
Factor -4*d**3 - 2028*d**2 - 256032*d + 258064.
-4*(d - 1)*(d + 254)**2
Solve -6*t**2 + 183*t + 93 = 0.
-1/2, 31
Factor u**3/5 + 823*u**2/5 + 169743*u/5 + 168921/5.
(u + 1)*(u + 411)**2/5
Factor -3*g**2 - 16074*g - 21531123.
-3*(g + 2679)**2
Factor -p**3 + 85*p**2 + 352*p + 356.
-(p - 89)*(p + 2)**2
Suppose 3*c**2 - 279*c + 276 = 0. What is c?
1, 92
Suppose 81*c**2 - 33*c + 2 = 0. What is c?
2/27, 1/3
Factor 2*t**5/7 - 34*t**4/7 + 104*t**3/7.
2*t**3*(t - 13)*(t - 4)/7
Factor 5*i**3 + 195*i**2 - 425*i - 615.
5*(i - 3)*(i + 1)*(i + 41)
Suppose -4*j**2 + 60*j = 0. What is j?
0, 15
Solve 20*s**4 + 12*s**3 - 20*s**2 - 12*s = 0.
-1, -3/5, 0, 1
Let -2*t**5/11 + 10*t**4/11 + 122*t**3/11 + 10*t**2 = 0. What is t?
-5, -1, 0, 11
Determine t so that -27*t**4 - 195*t**3 - 474*t**2 - 420*t - 72 = 0.
-3, -2, -2/9
Factor c**2/9 + c + 14/9.
(c + 2)*(c + 7)/9
Factor 15*y**3 - 11433*y**2 - 45768*y/5 - 9156/5.
3*(y - 763)*(5*y + 2)**2/5
Factor 2*f**2 + 356*f.
2*f*(f + 178)
Solve -2*l**5 - 9*l**4/2 + l**3 + 9*l**2/2 + l = 0 for l.
-2, -1, -1/4, 0, 1
Suppose -361*x**5/5 + 3686*x**4/5 - 5096*x**3/5 - 5008*x**2 + 5424*x/5 - 288/5 = 0. What is x?
-2, 