3
Factor g**3 + 4*g**2 - 3*g - 18.
(g - 2)*(g + 3)**2
Factor 3*z**3/5 - 9*z**2 + 42*z/5.
3*z*(z - 14)*(z - 1)/5
Solve -10*g**5/11 + 4916*g**4/11 + 16788*g**3/11 + 1888*g**2 + 10886*g/11 + 180 = 0 for g.
-1, -2/5, 495
Factor -d**3/2 - 126*d**2 + 507*d/2 - 127.
-(d - 1)**2*(d + 254)/2
Suppose -5*i**3 + 135*i**2 + 5*i - 135 = 0. What is i?
-1, 1, 27
Suppose 2*q**3/5 - 52*q**2/5 - 34*q - 116/5 = 0. Calculate q.
-2, -1, 29
Factor -f**4/3 + 7*f**3/3 - 6*f**2 + 20*f/3 - 8/3.
-(f - 2)**3*(f - 1)/3
Suppose -c**4 + 10*c**3 + 73*c**2 + 38*c - 120 = 0. What is c?
-4, -2, 1, 15
Find w, given that -80*w**4 - 1590*w**3 + 3775*w**2/2 - 60*w - 315/2 = 0.
-21, -1/4, 3/8, 1
Find f such that f**5 - 49*f**4 - 50*f**3 = 0.
-1, 0, 50
What is n in -2*n**5/3 + 13*n**4/3 + 10*n**3/3 - 20*n**2/3 - 8*n/3 + 7/3 = 0?
-1, 1/2, 1, 7
Solve -100*u**5 - 555*u**4 - 235*u**3 + 1395*u**2 - 565*u + 60 = 0 for u.
-4, -3, 1/5, 1/4, 1
Determine w, given that 3*w**3 - 210*w**2 + 3456*w + 7776 = 0.
-2, 36
Suppose -5*t**4 + 10*t**3 + 35*t**2 + 20*t = 0. What is t?
-1, 0, 4
Factor 2*q**4/3 + 14*q**3/3 - 20*q**2.
2*q**2*(q - 3)*(q + 10)/3
Factor 3*k**4/7 - 24*k**3/7 + 51*k**2/7 - 30*k/7.
3*k*(k - 5)*(k - 2)*(k - 1)/7
Factor 3*r**4 + 351*r**3 - 711*r**2 + 357*r.
3*r*(r - 1)**2*(r + 119)
Determine a so that -2*a**4 - 32*a**3 - 82*a**2 - 52*a = 0.
-13, -2, -1, 0
Suppose -2*o**2 + 1318*o - 3936 = 0. Calculate o.
3, 656
Factor 5*m**4 - 10*m**3 - 75*m**2.
5*m**2*(m - 5)*(m + 3)
Suppose -b**2 + 52*b - 51 = 0. Calculate b.
1, 51
Let -d**4 - 11*d**3 + 56*d**2 - 60*d = 0. What is d?
-15, 0, 2
Factor 3*y**2 - 522*y + 519.
3*(y - 173)*(y - 1)
Factor 2*h**2/3 - 2374*h/3.
2*h*(h - 1187)/3
Let 4*y**5 + 1808*y**4 + 1792*y**3 - 5432*y**2 - 9028*y - 3608 = 0. Calculate y.
-451, -1, 2
Find o such that 4*o**2 + 10328*o + 6666724 = 0.
-1291
Factor -f**2/7 - 72*f/7 - 855/7.
-(f + 15)*(f + 57)/7
Factor -2*p**3 + 10*p**2 + 2*p - 10.
-2*(p - 5)*(p - 1)*(p + 1)
Factor -t**2 + 64*t - 63.
-(t - 63)*(t - 1)
Factor 5*z**2 - 120*z.
5*z*(z - 24)
Let 8*f**3 - 34*f**2 + 40*f - 8 = 0. Calculate f.
1/4, 2
Factor -y**3 + 8*y**2/3 + 5*y/3 - 2.
-(y - 3)*(y + 1)*(3*y - 2)/3
Solve 3*j**2/2 - 114*j + 225/2 = 0 for j.
1, 75
Factor 4*l**2 + 8*l - 12.
4*(l - 1)*(l + 3)
Determine p so that 36*p**2 + 68*p + 32 = 0.
-1, -8/9
Solve -5*j**4 + 70*j**3 + 695*j**2 + 920*j - 1680 = 0.
-4, 1, 21
Let v**5/7 - 19*v**4/7 - 64*v**3/7 - 44*v**2/7 = 0. What is v?
-2, -1, 0, 22
Determine v so that 5*v**5 - 45*v**4 - 125*v**3 + 145*v**2 + 240*v - 220 = 0.
-2, 1, 11
Factor -m**3/4 + 1083*m**2/4.
-m**2*(m - 1083)/4
Let -4*m**5/9 - 8*m**4/3 - 40*m**3/9 + 44*m/9 + 8/3 = 0. Calculate m.
-3, -2, -1, 1
Let 6*b**5 + 3*b**4 - 21*b**3/8 + 3*b**2/8 = 0. Calculate b.
-1, 0, 1/4
Factor 9*h**5/7 - 51*h**4/7 + 9*h**3 + 27*h**2/7.
3*h**2*(h - 3)**2*(3*h + 1)/7
Factor -20*o**2/7 - 138*o/7 + 2.
-2*(o + 7)*(10*o - 1)/7
Solve f**4/7 - 159*f**3/7 + 1213*f**2/7 - 705*f/7 - 7550/7 = 0 for f.
-2, 5, 151
Factor 5*y**5 + 7785*y**4 + 3041970*y**3 + 9079250*y**2 + 9063705*y + 3018645.
5*(y + 1)**3*(y + 777)**2
Let p**3/8 + 73*p**2/4 + 1349*p/8 - 187 = 0. Calculate p.
-136, -11, 1
Factor -m**3 - 342*m**2 - 29241*m.
-m*(m + 171)**2
Suppose 3*o**3/7 + 171*o**2/7 = 0. What is o?
-57, 0
Factor w**2/4 - 579*w/4 + 289/2.
(w - 578)*(w - 1)/4
Factor -6*j**2 + 224*j + 152.
-2*(j - 38)*(3*j + 2)
Factor -u**3 + 40*u**2 + 84*u.
-u*(u - 42)*(u + 2)
Suppose -5*z**2 + 370*z + 3280 = 0. What is z?
-8, 82
Factor 4*f**2/3 - 500*f - 1504/3.
4*(f - 376)*(f + 1)/3
Let -4*o**3 - 1368*o**2 - 155952*o - 5926176 = 0. What is o?
-114
Determine c, given that -5*c**4/3 - 37*c**3/3 - 61*c**2/3 + c/3 + 10 = 0.
-5, -2, -1, 3/5
Factor 5*u**3/2 + 45*u**2/2 - 75*u - 220.
5*(u - 4)*(u + 2)*(u + 11)/2
Let -4*r**4 - 100*r**3 - 156*r**2 + 628*r - 368 = 0. Calculate r.
-23, -4, 1
Factor -4*v**2 - 52*v - 168.
-4*(v + 6)*(v + 7)
Factor -18*r**3 + 158*r**2 - 288*r - 72.
-2*(r - 6)*(r - 3)*(9*r + 2)
Factor 28*s**2 + 2428*s - 696.
4*(s + 87)*(7*s - 2)
Factor -i**2 - 71*i - 1254.
-(i + 33)*(i + 38)
Factor 2*u**3/13 - 14*u**2/13 + 14*u/13 + 30/13.
2*(u - 5)*(u - 3)*(u + 1)/13
Factor -5*c**3 + 1945*c**2 - 188175*c - 190125.
-5*(c - 195)**2*(c + 1)
Solve t**5/6 - 2*t**4 + 26*t**3/3 - 16*t**2 + 32*t/3 = 0 for t.
0, 2, 4
Factor 2*f**4 - 16*f**3 - 256*f**2.
2*f**2*(f - 16)*(f + 8)
Factor -q**4/11 - 7*q**3/11 - 6*q**2/11.
-q**2*(q + 1)*(q + 6)/11
Factor 24*r**2/11 - 2646*r/11 + 60.
6*(r - 110)*(4*r - 1)/11
Factor 7*d**3 + 108*d**2 + 261*d.
d*(d + 3)*(7*d + 87)
Factor -8*l**5/3 + 60*l**4 - 59*l**3/2 + 11*l**2/3.
-l**2*(l - 22)*(4*l - 1)**2/6
Factor -3*m**4/2 + 9*m**3 + 45*m**2/2 - 150*m.
-3*m*(m - 5)**2*(m + 4)/2
Factor 5*d**2 - 325*d + 320.
5*(d - 64)*(d - 1)
Factor -83*c**2/2 + 41*c + 1/2.
-(c - 1)*(83*c + 1)/2
Factor -p**3 + 32*p**2 + 1243*p + 1210.
-(p - 55)*(p + 1)*(p + 22)
Solve -o**3/4 + 9*o**2 + 115*o/4 + 39/2 = 0 for o.
-2, -1, 39
Factor -3*z**5/2 + 57*z**4/2 - 117*z**3.
-3*z**3*(z - 13)*(z - 6)/2
Factor -3*m**2 + 2127*m - 2124.
-3*(m - 708)*(m - 1)
Factor -5*y**3/4 - 259*y**2/2 + 733*y/4 - 105/2.
-(y - 1)*(y + 105)*(5*y - 2)/4
Suppose t**2 - 44*t = 0. Calculate t.
0, 44
Factor 5*r**2 - 165*r + 160.
5*(r - 32)*(r - 1)
Factor u**3 + 24*u**2 + 41*u - 66.
(u - 1)*(u + 3)*(u + 22)
Let -c**5 + 6*c**4 + 36*c**3 + 40*c**2 = 0. What is c?
-2, 0, 10
Factor -q**3/5 + 3*q**2 - 26*q/5.
-q*(q - 13)*(q - 2)/5
Let -1249*j**2 + 1243*j + 6 = 0. What is j?
-6/1249, 1
Factor -18*d**4 + 48*d**3 - 26*d**2 + 4*d.
-2*d*(d - 2)*(3*d - 1)**2
Factor -25*q**3 - 40*q**2 + 35*q + 30.
-5*(q - 1)*(q + 2)*(5*q + 3)
Let -2*g**5/7 - 2*g**4 - 18*g**3/7 + 2*g**2 + 20*g/7 = 0. Calculate g.
-5, -2, -1, 0, 1
Factor -5*q**5 - 40*q**4 - 125*q**3 - 190*q**2 - 140*q - 40.
-5*(q + 1)**2*(q + 2)**3
Let -3*d**2 + 429*d + 870 = 0. What is d?
-2, 145
Let -l**3/5 - 443*l**2/5 - 10363*l - 120185 = 0. What is l?
-215, -13
Factor 2*b**2/9 - 32*b/9 + 128/9.
2*(b - 8)**2/9
Suppose d**3/2 + 1195*d**2/2 + 178204*d - 178802 = 0. Calculate d.
-598, 1
Let 14*p**4 - 38*p**3 - 26*p**2 + 38*p + 12 = 0. What is p?
-1, -2/7, 1, 3
Factor b**4/2 - b**3/2 - 39*b**2 + 90*b + 324.
(b - 6)**2*(b + 2)*(b + 9)/2
Let 2*p**4/17 + 76*p**3/17 + 440*p**2/17 - 5808*p/17 = 0. Calculate p.
-22, 0, 6
Factor 38*s**2/7 - 22*s + 8/7.
2*(s - 4)*(19*s - 1)/7
Determine x, given that -3*x**5/7 + 6*x**4/7 + 75*x**3/7 - 6*x**2/7 - 72*x/7 = 0.
-4, -1, 0, 1, 6
Solve -j**2/6 + 365*j/6 + 61 = 0.
-1, 366
Factor p**3/2 - 22*p**2.
p**2*(p - 44)/2
Factor -q**2/5 - 19*q + 294/5.
-(q - 3)*(q + 98)/5
Factor 5*v**3 + 135*v**2 - 965*v + 825.
5*(v - 5)*(v - 1)*(v + 33)
Factor 5*h**3 - 125*h**2 + 560*h + 2940.
5*(h - 14)**2*(h + 3)
Solve -4*t**3 + 6132*t**2 - 2353152*t + 2347024 = 0 for t.
1, 766
Factor u**2/2 + 4*u - 10.
(u - 2)*(u + 10)/2
Factor 8*d**5 + 316*d**4 + 4212*d**3 + 19604*d**2 + 8788*d.
4*d*(d + 13)**3*(2*d + 1)
Solve -5*r**5 + 95*r**4 - 155*r**3 - 255*r**2 = 0.
-1, 0, 3, 17
Let g**2/3 + 17374*g/3 + 75463969/3 = 0. Calculate g.
-8687
Factor -2*r**3/3 + 50*r**2/3 - 86*r/3 - 46.
-2*(r - 23)*(r - 3)*(r + 1)/3
Suppose a**3/4 + 10*a**2 + 241*a/4 + 165/2 = 0. Calculate a.
-33, -5, -2
Solve d**3 + 74*d**2 - 815*d + 2100 = 0 for d.
-84, 5
Factor j**3/7 + 2*j**2/7 - 11*j/7 - 12/7.
(j - 3)*(j + 1)*(j + 4)/7
Solve -22*m**5/5 + 78*m**4/5 - 14*m**3/5 - 78*m**2/5 + 36*m/5 = 0.
-1, 0, 6/11, 1, 3
Factor 11*i**2 + 13*i + 2.
(i + 1)*(11*i + 2)
Factor -3*b**2/7 - 3*b/7 + 60/7.
-3*(b - 4)*(b + 5)/7
Determine a so that -3*a**2/8 - 117*a/8 - 105/2 = 0.
-35, -4
Find y, given that y**3/4 - 2*y**2 + 3*y = 0.
0, 2, 6
Factor 4*x**4 + 52*x**3 + 92*x**2 + 44*x.
4*x*(x + 1)**2*(x + 11)
Let -3*r**4 + 66*r**3 - 111*r**2 - 180*r = 0. Calculate r.
-1, 0, 3, 20
Factor -p**3/2 + 113*p**2 + 455*p/2 + 114.
-(p - 228)*(p + 1)**2/2
Suppose -6*g**4/11 + 948*g**3/11 - 39294*g**2/11 + 13272*g - 12936 = 0. What is g?
2, 77
Determine m so that -62*m**5/9 + 22*m**4/3 + 58*m**3/9 - 22*m**2/3 + 4*m/9 = 0.
-1, 0, 2/31, 1
Factor -15*s**3 - 2721*s**2 - 1077*s + 1629.
-3*(s + 1)*(s + 181)*(5*s - 3)
Find y, given that -8*y**5 + 208*y**4 - 1634*y**3 + 3046*y**2 + 4378*y + 1210 = 0.
-1/2, 5, 11
Suppose 20*x**2 - 35*x - 10 = 0. What is x?
-1/4, 2
Let 2*x**2/11 - 38*x/11 + 36/11 = 0. What is x?
1, 18
Find t such that 20*t**5/17 - 146*t**4/17 + 242*t**3/17 - 60*t**