24*j - 5.
(j + 1)*(j + 5)*(6*j - 1)
Suppose t**4 - t**3 - 6*t**2 = 0. What is t?
-2, 0, 3
Determine v so that 3*v**4/4 + 9*v**3/2 - 21*v**2/4 = 0.
-7, 0, 1
Factor -5*l**2 - 340*l - 335.
-5*(l + 1)*(l + 67)
Suppose -2*o**4 + 178*o**3 - 1176*o**2 + 2312*o - 1312 = 0. Calculate o.
1, 2, 4, 82
Factor -n**2 - 551*n - 1098.
-(n + 2)*(n + 549)
Solve 3*u**4/2 - 15*u**3/2 - 63*u**2/2 + 255*u/2 + 150 = 0 for u.
-4, -1, 5
Factor 5*t**2 - 450*t.
5*t*(t - 90)
Factor 6*b**3 + 58*b**2 + 106*b - 42.
2*(b + 3)*(b + 7)*(3*b - 1)
Determine j, given that -20*j**4 - 235*j**3 - 120*j**2 + 485*j - 110 = 0.
-11, -2, 1/4, 1
Find g such that -18*g**5 - 345*g**4 - 1227*g**3 - 1581*g**2 - 771*g - 90 = 0.
-15, -2, -1, -1/6
Suppose -4*v**5 - 12*v**4 - 4*v**3 + 12*v**2 + 8*v = 0. Calculate v.
-2, -1, 0, 1
Factor 4*w**4/5 + 12*w**3 + 56*w**2/5.
4*w**2*(w + 1)*(w + 14)/5
Factor -2*r**4/5 - 52*r**3/5 + 118*r**2/5 + 5928*r/5 - 25992/5.
-2*(r - 6)**2*(r + 19)**2/5
What is j in j**3/3 - 8*j**2/3 + 17*j/3 - 10/3 = 0?
1, 2, 5
Factor -2*t**2 + 1952*t - 476288.
-2*(t - 488)**2
Determine u, given that 2*u**5/13 - 44*u**4/13 - 196*u**3/13 - 304*u**2/13 - 206*u/13 - 4 = 0.
-1, 26
Factor n**3 - 17*n**2 - n + 17.
(n - 17)*(n - 1)*(n + 1)
What is v in 35*v**3/4 - 165*v**2/4 + 40*v + 15 = 0?
-2/7, 2, 3
Determine q, given that -32*q**4/23 + 80*q**3/23 - 50*q**2/23 = 0.
0, 5/4
Factor b**2 + 2*b - 15.
(b - 3)*(b + 5)
Factor j**5/6 + 11*j**4/6 + 43*j**3/6 + 23*j**2/2 + 6*j.
j*(j + 1)*(j + 3)**2*(j + 4)/6
Factor 35*l**4 + 20*l**3 - 50*l**2 - 20*l + 15.
5*(l - 1)*(l + 1)**2*(7*l - 3)
Find o, given that 3*o**3 + 807*o**2 + 54672*o + 53868 = 0.
-134, -1
Solve 18*q**3 - 255*q**2 + 924*q - 147 = 0.
1/6, 7
Let 122*m**3 - 328*m**2 + 290*m - 84 = 0. What is m?
42/61, 1
Find q such that -q**5/10 - 2*q**4/5 + q**3/2 + 2*q**2 - 2*q/5 - 8/5 = 0.
-4, -2, -1, 1, 2
Find w such that 2*w**3/5 + 412*w**2/5 - 2*w/5 - 412/5 = 0.
-206, -1, 1
Factor -5*s**2 + 220*s - 2420.
-5*(s - 22)**2
Factor k**2/2 - 87*k - 895/2.
(k - 179)*(k + 5)/2
Factor -2*u**3 - 112*u**2 + 2*u + 112.
-2*(u - 1)*(u + 1)*(u + 56)
Factor n**2 + 103*n - 104.
(n - 1)*(n + 104)
Factor 5*d**5/2 + 65*d**4/2 - 155*d**3 + 245*d**2 - 335*d/2 + 85/2.
5*(d - 1)**4*(d + 17)/2
Factor -4*q**2/9 + 4*q/3 + 112/9.
-4*(q - 7)*(q + 4)/9
Determine d, given that -3*d**2/4 - 267*d/4 - 66 = 0.
-88, -1
Solve 8*v**4 - 30*v**3 - 130*v**2 - 165*v/2 - 13 = 0 for v.
-2, -1/2, -1/4, 13/2
Let 2*n**2/11 + 48*n/11 = 0. Calculate n.
-24, 0
Find r, given that 2*r**5 + 10*r**4 - 12*r**3 = 0.
-6, 0, 1
Solve 4*r**2/3 - 752*r - 4528/3 = 0 for r.
-2, 566
Find r such that 9*r**3 - 15177*r**2 + 5058*r = 0.
0, 1/3, 1686
What is s in 4*s**3/5 + 24*s**2/5 - 148*s/5 - 72 = 0?
-9, -2, 5
Solve -2*l**4 - 31140*l**3 - 121212450*l**2 = 0.
-7785, 0
Factor g**2/2 + 29*g - 59/2.
(g - 1)*(g + 59)/2
Find r, given that -3*r**2 - 222*r - 219 = 0.
-73, -1
Factor -l**4/3 - 10*l**3/3 - 23*l**2/3 - 14*l/3.
-l*(l + 1)*(l + 2)*(l + 7)/3
Let -28*q**3/5 - 24*q**2 + 304*q/5 + 96/5 = 0. Calculate q.
-6, -2/7, 2
Factor -4*w**3 - 112*w**2 - 396*w - 288.
-4*(w + 1)*(w + 3)*(w + 24)
Find x such that 2*x**3/7 + 162*x**2/7 + 622*x/7 + 66 = 0.
-77, -3, -1
Factor -p**4 + 42*p**3 - 416*p**2 + 672*p.
-p*(p - 28)*(p - 12)*(p - 2)
Factor -2*m**4 + 8*m**3 + 6*m**2 - 20*m - 16.
-2*(m - 4)*(m - 2)*(m + 1)**2
Factor -3*c**2 - 213*c.
-3*c*(c + 71)
Solve -8*u**5 - 23*u**4 + 19*u**3 + 94*u**2 + 52*u - 8 = 0.
-2, -1, 1/8, 2
Factor 4*g**4 - 68*g**2 - 144*g - 80.
4*(g - 5)*(g + 1)*(g + 2)**2
Factor 2*z**5 + 12*z**4 + 24*z**3 + 20*z**2 + 6*z.
2*z*(z + 1)**3*(z + 3)
Let -2*v**2 + 14*v - 20 = 0. What is v?
2, 5
Determine o so that 5*o**3 + 110*o**2 - 500*o + 520 = 0.
-26, 2
Let -4*c**4/11 + 14*c**3/11 - 6*c**2/11 - 16*c/11 + 8/11 = 0. Calculate c.
-1, 1/2, 2
What is m in -3*m**4 + 69*m**3/5 - 15*m**2 + 3*m/5 + 18/5 = 0?
-2/5, 1, 3
Find g, given that -3*g**4 + 609*g**3 - 3573*g**2 + 5331*g - 2364 = 0.
1, 4, 197
Factor -l**4 - 48*l**3 - 820*l**2 - 5712*l - 12544.
-(l + 4)*(l + 14)**2*(l + 16)
Suppose h**3/3 + 4*h**2 + 11*h/3 = 0. What is h?
-11, -1, 0
Let -3*a**2 - 48*a - 45 = 0. What is a?
-15, -1
Factor r**4/4 - 81*r**3/4 - 3*r**2/4 + 241*r/4 + 81/2.
(r - 81)*(r - 2)*(r + 1)**2/4
Find y, given that 16*y**2 - 1524*y + 380 = 0.
1/4, 95
Suppose -s**4/2 - 20*s**3 - 200*s**2 = 0. What is s?
-20, 0
Let -3*a**3/4 - 63*a**2 - 5031*a/4 + 5547/2 = 0. What is a?
-43, 2
Factor -x**4/9 + 16*x**3/9 + 2*x**2/3 - 616*x/9 - 605/9.
-(x - 11)**2*(x + 1)*(x + 5)/9
Factor 15*u**3 + 55*u**2 + 30*u.
5*u*(u + 3)*(3*u + 2)
Find n, given that 2*n**4/5 - 4*n**3/5 - 104*n**2/5 - 188*n/5 - 18 = 0.
-5, -1, 9
Suppose 726*c**2 + 198*c + 27/2 = 0. Calculate c.
-3/22
What is w in -5*w**2 - 25950*w - 33670125 = 0?
-2595
Let o**3 + 770*o**2 + 146673*o - 599076 = 0. What is o?
-387, 4
Factor 2*y**3 - 46*y**2 + 240*y + 288.
2*(y - 12)**2*(y + 1)
Factor h**2/5 + 57*h/5 + 162/5.
(h + 3)*(h + 54)/5
Factor 400*m**2 - 204*m - 72.
4*(4*m - 3)*(25*m + 6)
Factor -o**3 + 105*o**2 - 3675*o + 42875.
-(o - 35)**3
Factor -r**2 + 149*r + 302.
-(r - 151)*(r + 2)
Solve -3*i**2/8 + 21*i/2 - 147/2 = 0 for i.
14
Factor 7*g**3/11 - 125*g**2/11 - 18*g/11.
g*(g - 18)*(7*g + 1)/11
Factor -4*x**2 - 112*x + 116.
-4*(x - 1)*(x + 29)
Solve 13*s**3 + 92*s**2 - 565*s - 44 = 0 for s.
-11, -1/13, 4
Factor -5*a**2 - 885*a + 2700.
-5*(a - 3)*(a + 180)
Solve g**4/3 - 55*g**3/3 + 326*g**2/3 + 496*g/3 - 256 = 0 for g.
-2, 1, 8, 48
Factor -r**2 + 7*r + 18.
-(r - 9)*(r + 2)
Factor 4*t**3 - 417*t**2 + 920*t - 204.
(t - 102)*(t - 2)*(4*t - 1)
Suppose 3*d**3/2 - 73*d**2/4 + 39*d/2 - 11/4 = 0. What is d?
1/6, 1, 11
Solve -20*f**3 - 145*f**2 - 305*f - 180 = 0 for f.
-4, -9/4, -1
Factor z**5/4 - 10*z**4 + 145*z**3 - 900*z**2 + 2160*z - 1728.
(z - 12)**3*(z - 2)**2/4
Factor 2*g**5 - 88*g**4 + 968*g**3.
2*g**3*(g - 22)**2
Solve 2*n**4/9 - 8*n**3 + 572*n**2/9 + 152*n + 722/9 = 0.
-1, 19
Factor 3*g**2/2 - 159*g/2 - 252.
3*(g - 56)*(g + 3)/2
Find l, given that l**3 - 9*l**2 - 12*l + 20 = 0.
-2, 1, 10
Factor 3*b**2 + 792*b.
3*b*(b + 264)
Find n, given that 2*n**5/9 + 118*n**4/3 + 15838*n**3/9 + 15134*n**2/9 - 1760*n - 15488/9 = 0.
-88, -1, 1
What is x in 4*x**2 + 76*x = 0?
-19, 0
Let 3*n**2 - 1791*n + 3570 = 0. Calculate n.
2, 595
Suppose 2*j**5/3 + 2*j**4 - 56*j**3/3 = 0. Calculate j.
-7, 0, 4
Find x such that -5*x**2 - 1250*x - 78125 = 0.
-125
Determine q, given that -2*q**3/9 - 118*q**2/9 - 560*q/3 + 200 = 0.
-30, 1
Factor 35*t**3/3 + 880*t**2/3 - 785*t/3 - 130/3.
5*(t - 1)*(t + 26)*(7*t + 1)/3
Factor -3*h**2 + 153*h - 294.
-3*(h - 49)*(h - 2)
Factor -3*h**4 + 54*h**3 - 72*h**2 - 384*h.
-3*h*(h - 16)*(h - 4)*(h + 2)
Find a such that -3*a**5/2 - 18*a**4 + 3*a**3/2 + 18*a**2 = 0.
-12, -1, 0, 1
Factor -2*t**2/9 + 20*t/9.
-2*t*(t - 10)/9
Solve -z**3 - 9*z**2 + z + 9 = 0 for z.
-9, -1, 1
Determine z, given that 5*z**5 - 10*z**4 - 40*z**3 - 10*z**2 + 35*z + 20 = 0.
-1, 1, 4
Let -245*h**2 + 210*h - 45 = 0. Calculate h.
3/7
What is d in d**3/4 + 23*d**2/4 - d/4 - 23/4 = 0?
-23, -1, 1
Suppose -r**2/3 + 47*r/3 + 98/3 = 0. Calculate r.
-2, 49
Factor -x**4 + 3*x**3 + 10*x**2.
-x**2*(x - 5)*(x + 2)
Factor g**5 + 30*g**4 + 320*g**3 + 1350*g**2 + 1215*g - 2916.
(g - 1)*(g + 4)*(g + 9)**3
Factor -4*q**2 - 640*q.
-4*q*(q + 160)
Find o such that 2*o**4/7 + 2*o**3/7 - 46*o**2/7 + 78*o/7 - 36/7 = 0.
-6, 1, 3
Factor u**2/5 + 34*u/5.
u*(u + 34)/5
Factor -2*b**2/15 - 308*b/15.
-2*b*(b + 154)/15
Let 3*y**2 - 63*y + 240 = 0. Calculate y.
5, 16
Determine h, given that 2*h**3/11 + 1170*h**2/11 + 228150*h/11 + 14829750/11 = 0.
-195
Determine h, given that h**2/3 - 1694*h/3 + 1693/3 = 0.
1, 1693
Factor 3*q**3/5 - 27*q**2/5 - 63*q/5 + 147.
3*(q - 7)**2*(q + 5)/5
Suppose -3*q**4 + 30*q**3 - 51*q**2 + 24*q = 0. Calculate q.
0, 1, 8
Factor -5*k**3 + 665*k**2 + 1345*k + 675.
-5*(k - 135)*(k + 1)**2
Let 27*l**5 + 72*l**4/5 + 3*l**3/5 - 2*l**2/5 = 0. What is l?
-1/3, 0, 2/15
Find g, given that 2*g**3/3 + 9392*g**2/3 + 3672270*g - 7357068 = 0.
-2349, 2
Find t, given that 2*t**3/15 - 26*t**2/15 = 0.
0, 13
Suppose 51*y**2 + 1065*y - 126 = 0. Calculate y.
-21, 2/17
Factor -3*v**4 - 6240*v**3 - 3244800*v**2.
-3*v**2*(v + 1040)**2
Find a such that a**3/4 + 11*a**2/4 - 7*a/2 - 6 = 0.
-12, -1, 2
Determine c, given that 2*c**5/9 + 10*c**4/3 + 86*c**3/9 - 98*