etermine z, given that 54*z**5 - 75*z**4 - 130*z**3 + 95*z**2 + 76*z - 20 = 0.
-1, -5/6, 2/9, 1, 2
What is s in -2*s**2/5 + 146*s/5 - 144/5 = 0?
1, 72
Factor -2*y**4/9 + 8*y**3/9 + 32*y**2/9 - 128*y/9.
-2*y*(y - 4)**2*(y + 4)/9
Suppose -4*t**5/7 - 44*t**4/7 - 172*t**3/7 - 44*t**2 - 256*t/7 - 80/7 = 0. Calculate t.
-5, -2, -1
Factor 5*w**4 - 2215*w**3 + 237375*w**2 + 1771875*w.
5*w*(w - 225)**2*(w + 7)
Factor 2*f**4/7 + 14*f**3 - 100*f**2/7.
2*f**2*(f - 1)*(f + 50)/7
Factor -2*j**4/3 - 8*j**3/3 - 10*j**2/3 - 4*j/3.
-2*j*(j + 1)**2*(j + 2)/3
Factor -3*x**2 + 42*x - 147.
-3*(x - 7)**2
Let 23*o**2 + 21*o - 2 = 0. What is o?
-1, 2/23
Let 3*f**4/2 + 3291*f**3/4 - 1647*f**2/4 = 0. Calculate f.
-549, 0, 1/2
Solve -28*c**3 + 63160*c**2 + 81244*c + 18056 = 0 for c.
-1, -2/7, 2257
Solve -10*s**3/3 - 95*s**2/3 + 160*s/3 - 55/3 = 0.
-11, 1/2, 1
Determine n so that n**3 - 53*n**2 - 225*n - 171 = 0.
-3, -1, 57
Find g, given that -3*g**3 - 45*g**2 - 54*g + 312 = 0.
-13, -4, 2
Factor s**2/4 + 847*s/4 + 423/2.
(s + 1)*(s + 846)/4
Factor 4*j**2 + 60*j - 64.
4*(j - 1)*(j + 16)
Let -o**5/2 + 7*o**4 - 25*o**3 - 10*o**2 + 171*o/2 + 63 = 0. Calculate o.
-1, 3, 6, 7
Factor -4*h**5 + 80*h**4 + 3212*h**3 + 20328*h**2.
-4*h**2*(h - 42)*(h + 11)**2
Factor -3*j**2 - 3*j + 60.
-3*(j - 4)*(j + 5)
Let -28*t**4 - 160*t**3 - 92*t**2 + 40*t = 0. What is t?
-5, -1, 0, 2/7
Let -3*z**3 + 54*z**2 - 324*z + 648 = 0. Calculate z.
6
Factor -c**3 - 4370*c**2 - 4769852*c + 9557192.
-(c - 2)*(c + 2186)**2
Factor 3*n**3 - 26*n**2 + 15*n + 8.
(n - 8)*(n - 1)*(3*n + 1)
Factor 2*y**4 + 500*y**3 - 2*y**2 - 500*y.
2*y*(y - 1)*(y + 1)*(y + 250)
Factor 2*l**3/5 + 274*l**2/5 + 976*l + 4680.
2*(l + 10)**2*(l + 117)/5
Find z such that -2*z**4/7 - 216*z**3/7 - 5612*z**2/7 + 11880*z/7 - 6050/7 = 0.
-55, 1
Solve -3*k**2/8 + 543*k/4 + 1089/8 = 0 for k.
-1, 363
Find d, given that -2*d**5/7 - 2*d**4/7 + 4*d**3/7 + 4*d**2/7 - 2*d/7 - 2/7 = 0.
-1, 1
What is s in -5*s**2 + 150*s = 0?
0, 30
Factor -2*k**2/9 - 788*k/9 + 790/9.
-2*(k - 1)*(k + 395)/9
Let n**4/2 - 9*n**3/2 - 39*n**2 - 86*n - 60 = 0. Calculate n.
-2, 15
Factor 5*q**5 - 25*q**4 + 50*q**3 - 50*q**2 + 25*q - 5.
5*(q - 1)**5
Find c, given that -9*c**5/2 + 165*c**4/2 - 464*c**3 + 802*c**2 - 544*c + 128 = 0.
2/3, 1, 8
Let 5*n**5 + 10*n**4 - 75*n**3 = 0. Calculate n.
-5, 0, 3
Suppose 17*v**4/4 - 83*v**3/4 + 63*v**2/2 - 13*v - 2 = 0. Calculate v.
-2/17, 1, 2
Let 2*w**5/9 - 44*w**4/9 - 448*w**3/9 + 6976*w**2/9 + 66560*w/9 + 102400/9 = 0. Calculate w.
-8, -2, 20
Factor 2*v**2/5 + 612*v/5 - 614/5.
2*(v - 1)*(v + 307)/5
Determine o, given that 2*o**3/7 - 10*o**2/7 - 2*o/7 + 10/7 = 0.
-1, 1, 5
Find h such that -6*h**3 - 23*h**2/3 + 2*h = 0.
-3/2, 0, 2/9
Factor 5*z**2 + 195*z + 190.
5*(z + 1)*(z + 38)
What is g in 4*g**4 + 65*g**3 + 12*g**2 - 65*g - 16 = 0?
-16, -1, -1/4, 1
Factor -8*s**5/17 + 1370*s**4/17 - 78318*s**3/17 + 1501038*s**2/17 - 370386*s/17.
-2*s*(s - 57)**3*(4*s - 1)/17
What is h in 60*h**5/13 + 3154*h**4/13 + 7752*h**3/13 + 2560*h**2/13 - 2016*h/13 - 800/13 = 0?
-50, -2, -2/3, -2/5, 1/2
Find z, given that -16*z**2 - 172*z + 44 = 0.
-11, 1/4
Factor -t**3/9 + 5*t**2/3 - 13*t/3 - 55/9.
-(t - 11)*(t - 5)*(t + 1)/9
Factor 5*a**3 + 10*a**2 + 5*a.
5*a*(a + 1)**2
Solve -2*f**5 - 16*f**4 + 108*f**3 + 976*f**2 + 1574*f + 720 = 0 for f.
-9, -5, -1, 8
Factor 2*l**2 - 46*l + 180.
2*(l - 18)*(l - 5)
What is b in -b**4 - 74*b**3 + 3*b**2 + 224*b + 148 = 0?
-74, -1, 2
Factor z**5 - 91*z**4 - 286*z**3 + 376*z**2.
z**2*(z - 94)*(z - 1)*(z + 4)
Factor 3*v**2/2 - 4884*v + 3975576.
3*(v - 1628)**2/2
Determine d, given that 5*d**5 + 15*d**4 - 75*d**3 - 95*d**2 + 150*d = 0.
-5, -2, 0, 1, 3
Factor -3*d**4/2 + 57*d**3/2 - 96*d**2 + 90*d.
-3*d*(d - 15)*(d - 2)**2/2
Suppose -s**5/2 + 52*s**4 + 109*s**3/2 - 208*s**2 - 210*s = 0. Calculate s.
-2, -1, 0, 2, 105
Determine l, given that 15*l**2 + 36*l - 132 = 0.
-22/5, 2
Let 4*r**4 - 13*r**3 - 21*r**2 + 38*r - 8 = 0. What is r?
-2, 1/4, 1, 4
Determine w so that -3*w**5 - 6*w**4 + 6*w**3 + 12*w**2 - 3*w - 6 = 0.
-2, -1, 1
Suppose 4*l**5/3 - 137*l**4/3 + 1046*l**3/3 + 2195*l**2/3 + 228*l - 108 = 0. Calculate l.
-1, 1/4, 18
Solve n**5/3 - n**4 + n**3/3 + n**2 - 2*n/3 = 0.
-1, 0, 1, 2
Solve 4*x**2/7 + 228*x/7 - 2680/7 = 0 for x.
-67, 10
Factor 9*l**2/4 - 312*l - 417/4.
3*(l - 139)*(3*l + 1)/4
Determine z so that -4*z**5/5 - 80*z**4 - 9984*z**3/5 + 320*z**2 + 8000*z = 0.
-50, -2, 0, 2
Determine q so that -q**5 - 34*q**4 + 3*q**3 + 100*q**2 - 68*q = 0.
-34, -2, 0, 1
Solve 4*o**4/7 - 72*o**3 + 988*o**2/7 + 72*o - 992/7 = 0.
-1, 1, 2, 124
Factor -5*t**4 + 805*t**3 - 42930*t**2 + 743580*t + 787320.
-5*(t - 54)**3*(t + 1)
Solve -35*o**5/4 + 120*o**4 - 385*o**3 - 485*o**2/2 + 1575*o/4 + 245/2 = 0.
-1, -2/7, 1, 7
Factor 2*z**5/9 + 1240*z**4/9 - 1660*z**3/3 + 7480*z**2/9 - 4990*z/9 + 416/3.
2*(z - 1)**4*(z + 624)/9
Factor -3*v**5/7 + 48*v**4/7 - 87*v**3/7 + 6*v**2.
-3*v**2*(v - 14)*(v - 1)**2/7
Solve -a**5/4 + 13*a**3/4 - 4*a**2 - 3*a + 4 = 0 for a.
-4, -1, 1, 2
Suppose 2*c**3/9 + 76*c**2/9 + 74*c/9 = 0. What is c?
-37, -1, 0
What is v in -v**3/2 - 277*v**2/2 - 19591*v/2 - 56307/2 = 0?
-137, -3
Determine h so that -27*h**4/2 + 72*h**3 - 21*h**2/2 - 66*h + 30 = 0.
-1, 2/3, 5
Let -3*n**4 - 141*n**3 + 600*n**2 - 612*n = 0. What is n?
-51, 0, 2
Let -3*o**3/4 - 81*o**2/4 + 321*o/2 + 396 = 0. Calculate o.
-33, -2, 8
Let 3*a**3/8 - 83*a**2/8 + 27*a/4 = 0. Calculate a.
0, 2/3, 27
Find f such that -2*f**3/5 - 32*f**2/5 - 56*f/5 = 0.
-14, -2, 0
Factor a**4 - 72*a**3 + 1295*a**2 + 72*a - 1296.
(a - 36)**2*(a - 1)*(a + 1)
Factor t**3 + 19*t**2 - 22*t - 40.
(t - 2)*(t + 1)*(t + 20)
Factor -2*t**3 + 48*t**2 - 90*t + 44.
-2*(t - 22)*(t - 1)**2
Determine q so that 2*q**5/5 + 24*q**4/5 - 36*q**3/5 - 136*q**2/5 - 78*q/5 = 0.
-13, -1, 0, 3
What is y in 3*y**3 + 174*y**2 = 0?
-58, 0
Suppose 2*r**4/3 + 52*r**3 + 846*r**2 - 6552*r + 10584 = 0. What is r?
-42, 3
Determine k, given that -3*k**5 - 6*k**4 + 6*k**3 + 12*k**2 - 3*k - 6 = 0.
-2, -1, 1
Suppose -2*g**4/7 + 2*g**3/7 + 62*g**2/7 - 2*g/7 - 60/7 = 0. Calculate g.
-5, -1, 1, 6
Solve z**5/3 + 10*z**4/3 + 8*z**3 - 16*z**2/3 - 112*z/3 - 32 = 0.
-6, -2, 2
Factor -2*o**4/3 + 14*o**3/3.
-2*o**3*(o - 7)/3
Find l, given that l**5 + 3*l**4 - 5*l**3 - 3*l**2 + 4*l = 0.
-4, -1, 0, 1
Factor 2*t**2/13 + 14*t/13 - 60/13.
2*(t - 3)*(t + 10)/13
Find d such that 9*d**3/2 + 3373*d**2/2 - 375*d = 0.
-375, 0, 2/9
Factor -66*x**2/5 - 312*x - 2376/5.
-6*(x + 22)*(11*x + 18)/5
Factor 2*k**5 + 2*k**4 - 14*k**3 - 26*k**2 - 12*k.
2*k*(k - 3)*(k + 1)**2*(k + 2)
Determine i, given that 2*i**4 - 358*i**3 - 738*i**2 + 2542*i - 1448 = 0.
-4, 1, 181
Suppose 25*n**3/2 - 215*n**2 - 178*n - 36 = 0. Calculate n.
-2/5, 18
Factor 3*b**4/7 + 3*b**3 + 33*b**2/7 + 15*b/7.
3*b*(b + 1)**2*(b + 5)/7
Determine c so that 1680*c**5 + 184*c**4 - 519*c**3 + 88*c**2 + 9*c - 2 = 0.
-2/3, -1/7, 1/5, 1/4
Factor -4*w**3 + 106*w**2 - 152*w + 50.
-2*(w - 25)*(w - 1)*(2*w - 1)
Factor 2*j**3 - 3118*j**2 + 1213680*j + 1216800.
2*(j - 780)**2*(j + 1)
Factor -d**4/2 + 6*d**3 - 41*d**2/2 + 15*d.
-d*(d - 6)*(d - 5)*(d - 1)/2
Suppose -3*m**2 - 876*m - 63948 = 0. Calculate m.
-146
Factor -4*r**2 + 4*r + 24.
-4*(r - 3)*(r + 2)
Factor 35*j**5 + 295*j**4 + 680*j**3 + 240*j**2.
5*j**2*(j + 4)**2*(7*j + 3)
Factor -2*g**2 + 98*g/11 + 60/11.
-2*(g - 5)*(11*g + 6)/11
Suppose -55*b**5 + 1015*b**4 - 5700*b**3 + 8900*b**2 - 320*b - 3840 = 0. Calculate b.
-6/11, 1, 2, 8
What is s in -3*s**4/2 - 3*s**3 + 3*s**2/2 + 3*s = 0?
-2, -1, 0, 1
Factor -4*t**2 - 60*t.
-4*t*(t + 15)
Find g such that 2*g**2 - 458*g = 0.
0, 229
Suppose 4*q**5 + 60*q**4 - 212*q**3 + 84*q**2 + 208*q - 144 = 0. Calculate q.
-18, -1, 1, 2
Solve -p**2/2 - 785*p/2 - 392 = 0 for p.
-784, -1
Factor -4*g**3/9 + 64*g**2 + 1600*g/3 + 9728/9.
-4*(g - 152)*(g + 4)**2/9
Factor 17787*c**2/4 - 18711*c + 19683.
3*(77*c - 162)**2/4
Factor -2*r**2 - 40*r - 38.
-2*(r + 1)*(r + 19)
Let i**4/2 - 3*i**3/2 - i**2 + 6*i - 4 = 0. Calculate i.
-2, 1, 2
Find y, given that -3*y**3/5 - 3*y**2/5 + 6*y/5 = 0.
-2, 0, 1
Determine d, given that 4*d**5 - 56*d**4 + 224*d**3 - 64*d**2 - 960*d + 1152 = 0.
-2, 2, 6
Determine m so that m**4/2 + 13*m**3/2 + 11*m**2/2 - 13*m/2 - 6 = 0.
-12, -1, 1
Factor 3*c**4 + 3*c**3 - 30*c**2 + 24*c.
3*c*(c - 2)*(