 -v**4/3 + v**3/3 + 3*v**2 - 3*v.
-v*(v - 3)*(v - 1)*(v + 3)/3
Suppose 2*p**4/3 - 22*p**2 - 56*p/3 + 40 = 0. Calculate p.
-5, -2, 1, 6
Factor -p**4/3 - 2*p**3 - 4*p**2 - 8*p/3.
-p*(p + 2)**3/3
Factor -2*r**5/19 - 40*r**4/19 - 156*r**3/19 + 440*r**2/19 - 242*r/19.
-2*r*(r - 1)**2*(r + 11)**2/19
Determine f so that -3*f**4/2 - 45*f**3/2 - 111*f**2 - 180*f = 0.
-6, -5, -4, 0
Suppose -6*y**2/5 + 16*y/5 - 8/5 = 0. Calculate y.
2/3, 2
Find s, given that -4*s**3/5 + 728*s**2/5 - 1444*s/5 + 144 = 0.
1, 180
Factor -m**2 - 2*m + 63.
-(m - 7)*(m + 9)
Factor 2*s**3/7 + 14*s**2 - 8*s/7 - 56.
2*(s - 2)*(s + 2)*(s + 49)/7
Suppose -8*x**3 - 556*x**2/5 - 464*x/5 + 52/5 = 0. Calculate x.
-13, -1, 1/10
Factor -3*g**5/5 + 48*g**4/5 - 192*g**3/5.
-3*g**3*(g - 8)**2/5
Solve -6*f**2 + 218*f + 148 = 0.
-2/3, 37
Factor o**2/2 + 37*o/2 + 18.
(o + 1)*(o + 36)/2
Factor -i**2 - 104*i - 2304.
-(i + 32)*(i + 72)
Factor 54*i**5 + 208*i**4 + 292*i**3 + 168*i**2 + 22*i - 8.
2*(i + 1)**4*(27*i - 4)
Factor -212*d**3/5 - 84*d**2 - 204*d/5 + 4/5.
-4*(d + 1)**2*(53*d - 1)/5
Solve o**5 - 36*o**4 - 75*o**3 - 38*o**2 = 0 for o.
-1, 0, 38
Determine b, given that -2*b**2 + 120*b = 0.
0, 60
Factor 3*o**2 + 69*o.
3*o*(o + 23)
Factor 27*h**3/7 - 102*h**2/7 + 57*h/7 + 18/7.
3*(h - 3)*(h - 1)*(9*h + 2)/7
Factor 2*r**2/3 - 36*r + 106/3.
2*(r - 53)*(r - 1)/3
Determine o, given that o**4 + 89*o**3 + 2022*o**2 + 1760*o - 3872 = 0.
-44, -2, 1
Factor -2*a**2/13 - 22*a/13 - 20/13.
-2*(a + 1)*(a + 10)/13
Find j, given that -8*j**5/13 - 70*j**4/13 - 198*j**3/13 - 194*j**2/13 - 34*j/13 + 24/13 = 0.
-4, -3, -1, 1/4
Factor -3*x**4/2 + 711*x**3/2 + 5976*x**2 + 24288*x.
-3*x*(x - 253)*(x + 8)**2/2
Let -d**3/4 - 7*d**2/4 - 7*d/4 + 15/4 = 0. What is d?
-5, -3, 1
Solve -c**3/4 + 41*c**2/4 + c/4 - 41/4 = 0 for c.
-1, 1, 41
Factor -3*a**2 + 144*a - 141.
-3*(a - 47)*(a - 1)
Let -3*w**4/5 - 186*w**3/5 - 3231*w**2/5 - 10788*w/5 - 10092/5 = 0. Calculate w.
-29, -2
Find k such that -25*k**4 - 60*k**3 + 1355*k**2 + 1950*k + 560 = 0.
-8, -1, -2/5, 7
Factor -2*v**2/9 - 8*v/9 + 14/3.
-2*(v - 3)*(v + 7)/9
Let -14*i**5 + 88*i**4 - 122*i**3 - 56*i**2 + 136*i - 32 = 0. Calculate i.
-1, 2/7, 1, 2, 4
Suppose -4*j**2/7 + 4496*j/7 - 4492/7 = 0. What is j?
1, 1123
Suppose 2*x**3/7 + 32*x**2/7 + 30*x/7 = 0. Calculate x.
-15, -1, 0
Factor 3*k**2/8 - 3537*k + 8340246.
3*(k - 4716)**2/8
Factor -18*s**2 + 75*s/2 - 21/2.
-3*(3*s - 1)*(4*s - 7)/2
Find r such that 10*r**5/7 + 76*r**4/7 + 102*r**3/7 + 36*r**2/7 = 0.
-6, -1, -3/5, 0
Let 3*t**2/8 - 189*t/8 + 1443/4 = 0. What is t?
26, 37
What is w in -w**5/3 - 10*w**4/3 - 26*w**3/3 - 8*w**2/3 + 9*w + 6 = 0?
-6, -3, -1, 1
Find t such that -3*t**3 - 24*t**2 + 1275*t = 0.
-25, 0, 17
Find v, given that -8*v**4/3 + 142*v**3/9 - 106*v**2/9 - 22*v/9 + 10/9 = 0.
-1/3, 1/4, 1, 5
Factor 3*k**2/5 - 90*k + 447/5.
3*(k - 149)*(k - 1)/5
Let -2*o**5 + 42*o**4 - 150*o**3 - 722*o**2 - 816*o - 288 = 0. Calculate o.
-1, 12
Factor -t**3/5 - 8*t**2/5 + 28*t + 240.
-(t - 12)*(t + 10)**2/5
Let 2*w**2/5 - 36*w/5 - 16 = 0. What is w?
-2, 20
Find f such that 20*f**5/3 - 172*f**4/3 + 156*f**3 - 108*f**2 - 72*f = 0.
-2/5, 0, 3
Factor -5*m**4 + 15*m**3.
-5*m**3*(m - 3)
Factor 4*w**2 + 36*w + 32.
4*(w + 1)*(w + 8)
Factor 2*a**5/17 - 16*a**4/17 + 44*a**3/17 - 48*a**2/17 + 18*a/17.
2*a*(a - 3)**2*(a - 1)**2/17
Solve -w**5/3 + 4*w**4/3 - 10*w**2/3 + w/3 + 2 = 0.
-1, 1, 2, 3
Let 5*x**2 - 4625*x - 9270 = 0. What is x?
-2, 927
Factor 2*a**2/11 - 62*a/11 + 336/11.
2*(a - 24)*(a - 7)/11
Factor -a**4/3 - a**3 + a**2 + 7*a/3 - 2.
-(a - 1)**2*(a + 2)*(a + 3)/3
Factor 18*d**4/5 - 132*d**3 + 434*d**2/5 - 72*d/5.
2*d*(d - 36)*(3*d - 1)**2/5
Suppose 3*s**4 + 21*s**3 + 42*s**2 + 24*s = 0. What is s?
-4, -2, -1, 0
Determine f so that -20*f**3 + 2280*f**2 + 2295*f + 575 = 0.
-1/2, 115
Find l, given that 2*l**3 + 116*l**2 + 330*l = 0.
-55, -3, 0
What is t in 2*t**3/9 + 838*t**2/9 + 29120*t/3 - 9800 = 0?
-210, 1
Factor -5*d**2 + 5*d + 100.
-5*(d - 5)*(d + 4)
Factor -5*w**2 - 53*w.
-w*(5*w + 53)
Determine g, given that -3*g**2 - 213*g + 2430 = 0.
-81, 10
Determine y so that -y**2 - 9*y = 0.
-9, 0
Factor 3*u**2 + 249*u - 1044.
3*(u - 4)*(u + 87)
Factor -3*k**5/2 + 24*k**3.
-3*k**3*(k - 4)*(k + 4)/2
Determine n, given that -14*n**4/11 - 1208*n**3/11 - 2696*n**2/11 - 672*n/11 = 0.
-84, -2, -2/7, 0
Factor 4*h**5 - 4*h**4 - 8*h**3.
4*h**3*(h - 2)*(h + 1)
Factor t**3/8 - 437*t**2/8 - 2649*t/8 - 3987/8.
(t - 443)*(t + 3)**2/8
Factor -4*c**2 - 48*c + 340.
-4*(c - 5)*(c + 17)
Suppose -5*x**3 - 920*x**2 + 2795*x - 1870 = 0. What is x?
-187, 1, 2
Determine c, given that 2*c**3/3 - 118*c**2/3 - 160*c/3 + 22400 = 0.
-21, 40
Determine w so that w**3/2 + 87*w**2/2 + 127*w + 84 = 0.
-84, -2, -1
Factor 3*b**2 + 432*b + 15552.
3*(b + 72)**2
Determine d, given that -4*d**5 + 92*d**4 - 256*d**3 - 3040*d**2 - 5824*d - 3136 = 0.
-2, -1, 14
Let -165*d**5 + 663*d**4 - 4287*d**3/5 + 1977*d**2/5 - 72*d/5 - 108/5 = 0. Calculate d.
-2/11, 3/5, 1, 2
Factor a**3/3 - 37*a**2/3 + 129*a - 285.
(a - 19)*(a - 15)*(a - 3)/3
Find f such that -2*f**3/7 + 4*f**2 + 240*f/7 = 0.
-6, 0, 20
Determine p so that 2*p**3/9 + 58*p**2/9 + 160*p/9 + 104/9 = 0.
-26, -2, -1
Let 3*l**2 + 768*l + 49152 = 0. What is l?
-128
Factor -13*h**3/3 + 106*h**2/3 - 107*h/3 + 14/3.
-(h - 7)*(h - 1)*(13*h - 2)/3
Factor 2*x**5 - 104*x**4 + 200*x**3 + 4*x**2 - 202*x + 100.
2*(x - 50)*(x - 1)**3*(x + 1)
Factor 3*x**5 - 24*x**4 + 60*x**3 - 48*x**2.
3*x**2*(x - 4)*(x - 2)**2
Find r such that r**4 - 102*r**3 - 312*r**2 - 314*r - 105 = 0.
-1, 105
Find a, given that 3*a**3 + 81*a**2 + 45*a - 2625 = 0.
-25, -7, 5
Factor 4*v**4 + 352*v**3 - 1860*v**2.
4*v**2*(v - 5)*(v + 93)
Factor 4*g**4 - 136*g**3 - 460*g**2 + 592*g.
4*g*(g - 37)*(g - 1)*(g + 4)
Factor 5*i**3/2 + 795*i**2/2 + 14760*i - 84050.
5*(i - 5)*(i + 82)**2/2
Factor -n**3/5 - 6*n**2 - 25*n.
-n*(n + 5)*(n + 25)/5
Factor 2*m**3/5 - 54*m**2/5 + 20*m.
2*m*(m - 25)*(m - 2)/5
Suppose y**3/5 - 6*y**2/5 - 289*y/5 - 546/5 = 0. What is y?
-13, -2, 21
Factor -3*z**2/4 + 63*z/4 + 69/2.
-3*(z - 23)*(z + 2)/4
Determine m so that -4*m**5 + 100*m**4 - 808*m**3 + 2128*m**2 - 160*m - 3200 = 0.
-1, 2, 4, 10
Solve 5*r**5/2 + 425*r**4/2 + 610*r**3 - 440*r**2 - 2480*r - 1640 = 0.
-82, -2, -1, 2
Factor -r**2/3 + 1858*r/3 - 863041/3.
-(r - 929)**2/3
Factor -c**3/2 - 191*c**2 - 18430*c - 36100.
-(c + 2)*(c + 190)**2/2
Suppose 3*x**5/2 - 9*x**4/2 - 9*x**3/2 + 21*x**2/2 + 9*x = 0. What is x?
-1, 0, 2, 3
Find x such that -x**3/8 + 161*x**2/8 + 325*x/8 + 163/8 = 0.
-1, 163
Solve 3*a**5 - 3*a**4 - 9*a**3 + 3*a**2 + 6*a = 0 for a.
-1, 0, 1, 2
Factor -2*r**4/3 + 14*r**3/3 - 8*r**2.
-2*r**2*(r - 4)*(r - 3)/3
Factor -3*q**3/2 + 12*q**2 + 111*q/2 - 66.
-3*(q - 11)*(q - 1)*(q + 4)/2
Factor -r**3/3 + 6*r**2 - 27*r + 36.
-(r - 12)*(r - 3)**2/3
Factor 36*x**3 - 127596*x**2 + 170080*x - 56688.
4*(x - 3543)*(3*x - 2)**2
Let 3*w**3 - 30*w**2 - 21*w + 588 = 0. What is w?
-4, 7
Suppose -10*b**4 + 25*b**3 - 20*b**2 + 5*b = 0. Calculate b.
0, 1/2, 1
Factor -a**3/11 + 28*a**2/11 + 161*a/11 + 12.
-(a - 33)*(a + 1)*(a + 4)/11
Solve 2*q**2/17 + 224*q/17 + 6272/17 = 0 for q.
-56
Factor 3*y**4 + 507*y**3 + 1500*y**2 + 996*y.
3*y*(y + 1)*(y + 2)*(y + 166)
Find i such that -5*i**2 + 35*i + 40 = 0.
-1, 8
Factor 2*m**3/3 - 4*m**2 - 242*m/3 - 140.
2*(m - 15)*(m + 2)*(m + 7)/3
Let -16*z**5 + 20*z**4 + 46*z**3 - 32*z**2 - 42*z = 0. Calculate z.
-1, 0, 3/2, 7/4
Determine w, given that 2*w**5/7 + 36*w**4/7 - 212*w**3/7 - 528*w**2 + 1710*w - 8100/7 = 0.
-15, 1, 2, 9
Determine m, given that -2*m**3/11 - 8*m**2/11 + 82*m/11 - 72/11 = 0.
-9, 1, 4
Find h, given that -12*h**4 + 20*h**3 + 136*h**2 - 96*h = 0.
-3, 0, 2/3, 4
Determine p, given that 320*p**4 - 1504*p**3 + 11556*p**2/5 - 5832*p/5 = 0.
0, 27/20, 2
Determine m, given that -2*m**4 + 16*m**3 + 60*m**2 + 64*m + 22 = 0.
-1, 11
Factor -4*c**4 - 64*c**3 - 60*c**2.
-4*c**2*(c + 1)*(c + 15)
Let -2*l**5/9 - 28*l**4/9 - 130*l**3/9 - 200*l**2/9 = 0. Calculate l.
-5, -4, 0
Factor -x**2/4 + 3*x/2 + 18.
-(x - 12)*(x + 6)/4
Factor -r**3/5 + 4*r**2 + 21*r/5.
-r*(r - 21)*(r + 1)/5
Let -4*w**4/5 - 72*w**3 + 1116*w**2/5 = 0. What is w?
-93, 0, 3
Suppose s**4/9 - 20*s**3/9 + 44*s**2/3 - 320*s/9 + 256/9 = 0. What is s?
2, 8
Let 24*h**4 + 159*h**3 + 81*h**2 - 54*h = 0. What is