1/8 = 0 for a.
-1, 1/7
Suppose l**3 + 3*l**2 - 40*l = 0. What is l?
-8, 0, 5
Suppose -r**2/4 - 23*r/4 + 72 = 0. What is r?
-32, 9
Factor 5*d**3 + 145*d**2 - 500*d - 640.
5*(d - 4)*(d + 1)*(d + 32)
Let -28*o**5 - 1308*o**4 - 3992*o**3 + 268368*o**2 - 983520*o + 259200 = 0. Calculate o.
-30, 2/7, 4, 9
Factor 2*w**4/3 - 14*w**3 - 232*w**2 - 3040*w/3 - 1408.
2*(w - 33)*(w + 4)**3/3
Find r such that r**5/10 - 8*r**4/5 - 17*r**3/10 = 0.
-1, 0, 17
Factor 3*c**4/8 + 3*c**3/4 - 3*c**2/8 - 3*c/4.
3*c*(c - 1)*(c + 1)*(c + 2)/8
Suppose -55*g**3/2 - 167*g**2/6 + 164*g/3 + 2/3 = 0. Calculate g.
-2, -2/165, 1
Suppose l**2 + 100*l = 0. Calculate l.
-100, 0
Suppose 3*j**4 - 720*j**3 + 43200*j**2 = 0. Calculate j.
0, 120
Factor -2*u**4 + 4*u**3 + 2*u**2 - 4*u.
-2*u*(u - 2)*(u - 1)*(u + 1)
Let 5*b**2 - 520*b + 13520 = 0. What is b?
52
Factor 4*c**3 + 4*c**2 - 84*c - 180.
4*(c - 5)*(c + 3)**2
Let -t**4 - 25*t**3 - 175*t**2 - 195*t + 396 = 0. What is t?
-12, -11, -3, 1
Factor -4*o**3 - 20*o**2 + 8*o + 96.
-4*(o - 2)*(o + 3)*(o + 4)
Solve -2*s**4/7 - 2*s**3 - 34*s**2/7 - 34*s/7 - 12/7 = 0.
-3, -2, -1
Suppose -3*d**5/2 + 303*d**4/2 - 9957*d**3/2 + 115197*d**2/2 - 189420*d - 252150 = 0. Calculate d.
-1, 10, 41
Suppose 14*w**5 - 242*w**4 - 310*w**3 + 23922*w**2 - 108864*w + 29160 = 0. What is w?
-10, 2/7, 9
Find q such that 3*q**4/7 - 6*q**3/7 - 9*q**2/7 + 12*q/7 + 12/7 = 0.
-1, 2
Determine t so that 2*t**4/7 + 14*t**3 + 1536*t**2/7 + 1120*t + 6400/7 = 0.
-20, -8, -1
Suppose f**4/7 - 221*f**3/7 + 220*f**2/7 = 0. Calculate f.
0, 1, 220
Determine r, given that -33*r**4/7 - 489*r**3/7 + 1311*r**2/7 + 1461*r/7 - 306/7 = 0.
-17, -1, 2/11, 3
Determine k, given that k**3/2 - 2*k**2 - 95*k/2 + 99 = 0.
-9, 2, 11
Factor -98*v**4/3 - 20664*v**3 - 9821288*v**2/3 - 1865664*v - 798848/3.
-2*(v + 316)**2*(7*v + 2)**2/3
Suppose -4*p**3/3 + 88*p**2/3 + 188*p/3 + 32 = 0. Calculate p.
-1, 24
Factor 3*v**4 - 24*v**3 + 33*v**2 + 60*v.
3*v*(v - 5)*(v - 4)*(v + 1)
Factor -2*a**2/5 - 8*a/5 + 2.
-2*(a - 1)*(a + 5)/5
Suppose -3*h**4/5 - 198*h**3/5 - 741*h**2/5 + 198*h/5 + 744/5 = 0. What is h?
-62, -4, -1, 1
Factor 4*u**2/3 - 386*u/9 + 64/9.
2*(u - 32)*(6*u - 1)/9
Factor 4*x**3/5 + 172*x**2/5 - 1204*x/5 - 1372/5.
4*(x - 7)*(x + 1)*(x + 49)/5
Determine j so that -2*j**3/23 - 50*j**2/23 + 354*j/23 - 558/23 = 0.
-31, 3
Factor 21*v**5 + 99*v**4 + 159*v**3 + 93*v**2 - 12.
3*(v + 1)**3*(v + 2)*(7*v - 2)
Let 2*q**3 + 916*q**2 - 2*q - 916 = 0. Calculate q.
-458, -1, 1
Factor -3*p**3/4 - 15*p**2 - 351*p/4 - 243/2.
-3*(p + 2)*(p + 9)**2/4
Let i**5 - 221*i**4 + 12319*i**3 - 11879*i**2 - 12320*i + 12100 = 0. What is i?
-1, 1, 110
Determine g, given that 3*g**5 + 54*g**4 + 195*g**3 = 0.
-13, -5, 0
Solve -18*a**5 + 348*a**4 - 104*a**3 - 188*a**2 - 38*a = 0.
-1/3, 0, 1, 19
What is r in 3*r**2 + 1238*r - 413 = 0?
-413, 1/3
Solve 8*f**5/5 + 86*f**4/5 + 34*f**3 - 16*f**2 - 248*f/5 + 64/5 = 0.
-8, -2, 1/4, 1
Determine z so that 8*z**4/3 + 3560*z**3 + 3569786*z**2/3 + 1187260*z + 889778/3 = 0.
-667, -1/2
Factor p**4 + 76*p**3 + 1072*p**2 - 15792*p - 35280.
(p - 10)*(p + 2)*(p + 42)**2
Factor -4*a**3/9 - 164*a**2/9 - 608*a/9 - 592/9.
-4*(a + 2)**2*(a + 37)/9
Determine v, given that -20*v**5 + 35*v**4 + 150*v**3 + 115*v**2 + 20*v = 0.
-1, -1/4, 0, 4
Find g, given that 2*g**2/9 + 38*g/9 - 44/3 = 0.
-22, 3
Factor 2*r**3/7 + 58*r**2/7 + 494*r/7 + 1014/7.
2*(r + 3)*(r + 13)**2/7
Factor -35*d**3 + 850*d**2 - 5280*d + 1440.
-5*(d - 12)**2*(7*d - 2)
Determine a so that -a**5/3 + 41*a**4/3 - 116*a**3/3 + 76*a**2/3 = 0.
0, 1, 2, 38
Factor -2*g**5 - 4*g**4 + 4*g**2 + 2*g.
-2*g*(g - 1)*(g + 1)**3
Let 2*l**2/9 - 2*l + 4 = 0. What is l?
3, 6
Suppose -4*o**2 - 400*o - 784 = 0. Calculate o.
-98, -2
What is s in -s**3/4 + 475*s**2/4 + s/4 - 475/4 = 0?
-1, 1, 475
Suppose -18*m**4/5 - 22*m**3/5 + 176*m**2/5 - 104*m/5 - 32/5 = 0. What is m?
-4, -2/9, 1, 2
Determine j so that 4*j**2 + 688*j - 692 = 0.
-173, 1
Factor -3*n**3/4 - 9*n**2/2.
-3*n**2*(n + 6)/4
Determine f, given that f**4/5 - 41*f**3/5 + 152*f**2/5 - 148*f/5 = 0.
0, 2, 37
Factor -v**4/7 - 872*v**3/7 - 190965*v**2/7 - 378450*v/7.
-v*(v + 2)*(v + 435)**2/7
Let f**5 - 21*f**4 - 22*f**3 = 0. Calculate f.
-1, 0, 22
Factor -3*b**3 - 2514*b**2 - 529188*b - 1048344.
-3*(b + 2)*(b + 418)**2
Solve 3*i**5/2 + 5*i**4 - 17*i**3/2 - 18*i**2 + 2*i + 8 = 0 for i.
-4, -1, 2/3, 2
Factor -f**2/2 + 23*f/2 - 21.
-(f - 21)*(f - 2)/2
Factor z**3 - 1764*z**2 + 1037232*z - 203297472.
(z - 588)**3
Suppose -5*t**4 - 140*t**3 + 175*t**2 + 870*t = 0. What is t?
-29, -2, 0, 3
Suppose -5*v**3 + 340*v**2 = 0. What is v?
0, 68
Factor 2*d**5 - 4*d**4 - 2*d**3 + 4*d**2.
2*d**2*(d - 2)*(d - 1)*(d + 1)
Let 2*u**2 - 30*u + 28 = 0. Calculate u.
1, 14
Factor -o**3/4 + o**2/4 + 10*o - 28.
-(o - 4)**2*(o + 7)/4
Find c, given that -26*c**4 - 940*c**3 - 8568*c**2 - 1296*c = 0.
-18, -2/13, 0
Factor 4*o**2 - 12360*o + 9548100.
4*(o - 1545)**2
Solve 153*w**3 - 151*w**2 - 308*w - 4 = 0 for w.
-1, -2/153, 2
Determine f, given that -f**4/5 - 131*f**3/5 - 5676*f**2/5 - 79376*f/5 + 85184/5 = 0.
-44, 1
Factor -2*s**2/17 + 4*s/17 + 16/17.
-2*(s - 4)*(s + 2)/17
Factor 2*n**3/5 - 4*n**2/5 - 86*n/5 - 16.
2*(n - 8)*(n + 1)*(n + 5)/5
Factor -t**2 + 1908*t - 910116.
-(t - 954)**2
Factor 4*b**2/7 - 352*b/7 + 192.
4*(b - 84)*(b - 4)/7
Solve -52020*l**5 + 1020*l**4 + 52015*l**3 - 1020*l**2 + 5*l = 0 for l.
-1, 0, 1/102, 1
Factor -z**2/5 + 52*z - 3380.
-(z - 130)**2/5
Factor -2*i**3/11 + 26*i**2/11 - 46*i/11 + 2.
-2*(i - 11)*(i - 1)**2/11
Factor 2*l**3/13 + 70*l**2/13 + 196*l/13 + 128/13.
2*(l + 1)*(l + 2)*(l + 32)/13
Suppose 32*w**3/7 + 134*w**2/7 + 24*w/7 = 0. Calculate w.
-4, -3/16, 0
Factor -d**2/2 - 261*d/2 + 131.
-(d - 1)*(d + 262)/2
Factor z**2/6 - 71*z/6 + 133.
(z - 57)*(z - 14)/6
Solve 12*h**2 + 951*h - 3735 = 0.
-83, 15/4
Determine y, given that -26*y**3 - 48*y**2 + 26*y + 48 = 0.
-24/13, -1, 1
Factor n**4 + 39*n**3 + 434*n**2 + 1044*n + 648.
(n + 1)*(n + 2)*(n + 18)**2
Solve -a**4/4 + 9*a**3/2 - 29*a**2/4 - 12*a = 0.
-1, 0, 3, 16
Factor -2*v**3/5 - 242*v**2/5 + 244*v/5.
-2*v*(v - 1)*(v + 122)/5
Suppose 2*i**2/7 - 220*i/7 + 6050/7 = 0. Calculate i.
55
Find z such that -4*z**2 - 32*z + 192 = 0.
-12, 4
Factor 14*m**3 - 6*m**2 - 14*m + 6.
2*(m - 1)*(m + 1)*(7*m - 3)
Factor 5*m**2 - 625*m + 620.
5*(m - 124)*(m - 1)
Factor -141*r**2 + 2253*r + 48.
-3*(r - 16)*(47*r + 1)
Factor y**4/4 + 13*y**3/4 - 45*y**2/4 + 47*y/4 - 4.
(y - 1)**3*(y + 16)/4
Factor 30*l**3 + 2942*l**2 + 3106*l + 194.
2*(l + 1)*(l + 97)*(15*l + 1)
Solve 5*y**4 - 40*y**3 + 80*y**2 = 0.
0, 4
Factor 25*k**3/2 - 235*k**2 - 607*k/2 + 70.
(k - 20)*(5*k - 1)*(5*k + 7)/2
Factor -2*y**5/13 + 32*y**4/13 - 58*y**3/13 + 28*y**2/13.
-2*y**2*(y - 14)*(y - 1)**2/13
Factor -2*v**4/7 - 64*v**3/7 - 32*v**2.
-2*v**2*(v + 4)*(v + 28)/7
Factor v**5 - 8*v**4 + 25*v**3 - 38*v**2 + 28*v - 8.
(v - 2)**3*(v - 1)**2
Factor -t**3/2 + 57*t**2/2 - 360*t - 1350.
-(t - 30)**2*(t + 3)/2
Determine m so that -4*m**5/7 - 312*m**4/7 - 6948*m**3/7 - 33696*m**2/7 - 46656*m/7 = 0.
-36, -3, 0
Factor -8*j**4/11 - 210*j**3/11 - 1404*j**2/11 - 338*j/11.
-2*j*(j + 13)**2*(4*j + 1)/11
Find p such that -3*p**2 + 4158*p - 1440747 = 0.
693
Factor -4*g**4 + 104*g**3 - 76*g**2 - 600*g.
-4*g*(g - 25)*(g - 3)*(g + 2)
Find h such that -6*h**5/5 + 3*h**4 + 18*h**3/5 - 12*h**2 + 24*h/5 = 0.
-2, 0, 1/2, 2
Factor -t**2/9 + 52*t/9 - 235/9.
-(t - 47)*(t - 5)/9
What is r in -32*r**5 + 392*r**4 - 1910*r**3 + 9251*r**2/2 - 5566*r + 2662 = 0?
2, 11/4
Factor -2*c**2/3 - 11*c/3 + 13/3.
-(c - 1)*(2*c + 13)/3
Factor -f**5 + 73*f**4 - 1726*f**3 + 11950*f**2 + 29375*f + 15625.
-(f - 25)**3*(f + 1)**2
Factor 2*y**4 + 112*y**3 + 1452*y**2 - 3248*y + 1682.
2*(y - 1)**2*(y + 29)**2
Factor -4*o**4 + 76*o**3 - 192*o**2.
-4*o**2*(o - 16)*(o - 3)
Factor 2*b**2/9 + 2*b/3 - 140/9.
2*(b - 7)*(b + 10)/9
What is d in 4*d**4/5 - 8*d**3/5 - 32*d**2/5 = 0?
-2, 0, 4
Factor -4*u**2/5 - 24*u/5 + 28/5.
-4*(u - 1)*(u + 7)/5
Suppose -108*t**5 - 165*t**4 - 12*t**3 + 39*t**2 - 6*t = 0. What is t?
-1, 0, 2/9, 1/4
Factor -750141*s**3/8 + 35721*s**2/2 - 1134*s + 24.
-3*(63*s - 4)**3/8
Factor -2*p**3/13 - 38*p**2/13 + 6426*p/13 - 106434/13.
-2*(p - 27)**2*(p + 73)/13
Find y, given that -y**2 - 726*y - 131769 = 0.
-363
Let 3*a**5/2 + 12*a**4 + 24*a**3 + 3*