etermine s so that s**2/3 - s/3 - 2 = 0.
-2, 3
Determine v so that 5*v**3 + 65*v**2 + 60*v = 0.
-12, -1, 0
What is n in 4*n**4/9 - 32*n**3/3 + 340*n**2/9 - 136*n/3 + 160/9 = 0?
1, 2, 20
What is h in -2*h**2/9 - 6248*h/9 - 4879688/9 = 0?
-1562
Find i such that -2*i**3 + 44*i**2 - 106*i - 152 = 0.
-1, 4, 19
Determine m so that -2*m**2/3 - 320*m/9 - 106/9 = 0.
-53, -1/3
Solve 42*f**5/5 + 626*f**4/5 + 198*f**3 - 146*f**2 - 1032*f/5 + 104/5 = 0.
-13, -2, -1, 2/21, 1
Determine z, given that -2*z**3 - 48*z**2 - 166*z - 120 = 0.
-20, -3, -1
Factor -12*y**5/25 + 14*y**4/25 + 4*y**3/5.
-2*y**3*(y - 2)*(6*y + 5)/25
Factor -3*m**3/2 - 3*m**2.
-3*m**2*(m + 2)/2
Find d, given that -2*d**2 - 132*d - 130 = 0.
-65, -1
Factor -3*o**2 - 21*o - 30.
-3*(o + 2)*(o + 5)
Find y such that -2*y**4 - 40*y**3/9 + 226*y**2/9 - 128*y/9 - 40/9 = 0.
-5, -2/9, 1, 2
Factor -12*f**4 + 52*f**3 - 64*f**2 + 16*f.
-4*f*(f - 2)**2*(3*f - 1)
Let 8*o**4/5 - 8*o**3 + 54*o**2/5 - 18*o/5 = 0. Calculate o.
0, 1/2, 3/2, 3
Find n such that n**3/3 - 5*n**2/3 + 7*n/3 - 1 = 0.
1, 3
Determine x so that -4*x**2 + 3392*x - 719104 = 0.
424
Suppose -w**5 - 17*w**4 - 112*w**3 - 352*w**2 - 512*w - 256 = 0. What is w?
-4, -1
Let -3*v**2 + 33*v - 54 = 0. Calculate v.
2, 9
Determine f so that -6*f**5 - 46*f**4 + 406*f**3 - 130*f**2 = 0.
-13, 0, 1/3, 5
Factor 7*o**3/2 + 15*o**2 + 29*o/2 + 3.
(o + 1)*(o + 3)*(7*o + 2)/2
Factor 2*v**2/11 + 276*v/11 + 9522/11.
2*(v + 69)**2/11
Find n, given that 75*n**2 - 56*n + 4 = 0.
2/25, 2/3
Suppose 2*c**4/19 - 8*c**3/19 + 10*c**2/19 - 4*c/19 = 0. What is c?
0, 1, 2
Solve -2*i**2/9 + 650*i/9 + 436/3 = 0.
-2, 327
Factor -36*d**2 + 76*d - 8.
-4*(d - 2)*(9*d - 1)
Determine d so that 8*d**5/11 - 10*d**4/11 + 2*d**3/11 = 0.
0, 1/4, 1
Suppose -2*l**5/11 - 78*l**4/11 + 2*l**3/11 + 78*l**2/11 = 0. Calculate l.
-39, -1, 0, 1
Factor 4*g**4 - 36*g**3 + 96*g**2 - 80*g.
4*g*(g - 5)*(g - 2)**2
What is a in 4*a**3/7 - 66*a**2/7 + 134*a/7 + 12 = 0?
-1/2, 3, 14
Factor -2*g**3/9 - 20*g**2 - 600*g - 6000.
-2*(g + 30)**3/9
Solve -c**3 + 14*c**2 + 68*c + 72 = 0 for c.
-2, 18
Let 378*a**5 + 3678*a**4 + 7768*a**3 + 3776*a**2 - 256*a - 224 = 0. What is a?
-7, -2, -2/3, -2/7, 2/9
Factor -14*q**3/5 - 12*q**2/5 + 6*q - 4/5.
-2*(q - 1)*(q + 2)*(7*q - 1)/5
Suppose -d**3 + 2053*d**2 - 1052675*d - 1054729 = 0. What is d?
-1, 1027
Factor -3*l**3 + 207*l**2 - 2997*l - 20535.
-3*(l - 37)**2*(l + 5)
Factor -2*o**3/3 - 298*o**2/3 - 1168*o/3 - 1160/3.
-2*(o + 2)**2*(o + 145)/3
Determine n so that -8*n**2 - 1436*n/3 - 1180/3 = 0.
-59, -5/6
What is q in -q**4/2 + 80*q**3 + 323*q**2/2 + 81*q = 0?
-1, 0, 162
Find s, given that -10*s**4/3 - 425*s**3/2 - 1090*s**2/3 - 205*s/2 + 155/3 = 0.
-62, -1, 1/4
Let -3*j**4/5 - 18*j**3/5 - 3*j**2 = 0. Calculate j.
-5, -1, 0
Factor 4*z**4/7 + 340*z**3/7 - 1800*z**2/7.
4*z**2*(z - 5)*(z + 90)/7
What is f in -f**5 + 26*f**4 - 184*f**3 - 80*f**2 + 2800*f + 4000 = 0?
-2, 10
Determine n so that -9*n**5/2 + 79*n**4/2 + 315*n**3/2 + 381*n**2/2 + 89*n + 12 = 0.
-1, -2/9, 12
Find s, given that s**2/9 + 547*s/9 - 548/9 = 0.
-548, 1
Let -4*v**5/5 + 33*v**4/5 + 84*v**3/5 - 143*v**2/5 + 6*v = 0. Calculate v.
-3, 0, 1/4, 1, 10
Factor -4*q**3 + 22*q**2 - 40*q + 24.
-2*(q - 2)**2*(2*q - 3)
Factor 105*p**3 + 430*p**2 + 460*p + 40.
5*(p + 2)**2*(21*p + 2)
Factor o**2/8.
o**2/8
Solve 16*r**3/7 - 40*r**2/7 + 17*r/7 - 2/7 = 0.
1/4, 2
Factor -3*a**2/7 - 270*a/7 - 6075/7.
-3*(a + 45)**2/7
Factor 4*k**4 - 428*k**3 + 1668*k**2 - 2068*k + 824.
4*(k - 103)*(k - 2)*(k - 1)**2
Let 2025*c**5/8 - 1845*c**4/8 - 2201*c**3/8 + 1841*c**2/8 + 22*c + 1/2 = 0. What is c?
-1, -2/45, 1
Factor -u**3/3 - 34*u**2/3 - 377*u/3 - 1352/3.
-(u + 8)*(u + 13)**2/3
What is c in -c**3/4 + 265*c**2/4 - 4422*c + 4356 = 0?
1, 132
Find v, given that v**4 + v**3 - 84*v**2 - 464*v - 704 = 0.
-4, 11
Let 12*o**4 - 9*o**3 - 3*o**2 = 0. What is o?
-1/4, 0, 1
Factor i**3/5 + 19*i**2/5 + 18*i/5.
i*(i + 1)*(i + 18)/5
Factor -5*v**2 + 4760*v - 4755.
-5*(v - 951)*(v - 1)
Find f such that f**4 + 7*f**3 - 10*f**2 - 112*f - 96 = 0.
-6, -4, -1, 4
Suppose -4*u**2 + 64*u + 2048 = 0. Calculate u.
-16, 32
What is g in -2*g**3/17 + 192*g**2/17 - 910*g/17 = 0?
0, 5, 91
Factor -2*a**3/13 + 176*a**2/13 - 170*a/13 - 348/13.
-2*(a - 87)*(a - 2)*(a + 1)/13
Factor 5*r**2/3 + 13*r.
r*(5*r + 39)/3
Find p, given that -18*p**3 + 387*p**2 - 190*p + 21 = 0.
1/6, 1/3, 21
Find l, given that 9*l**4 - 192*l**3 + 1144*l**2 - 1280*l + 400 = 0.
2/3, 10
Factor -5*w**3/2 + 30*w**2 - 50*w.
-5*w*(w - 10)*(w - 2)/2
Factor -15*o**4 - 1713*o**3 + 6888*o**2/5 - 276*o.
-3*o*(o + 115)*(5*o - 2)**2/5
Find z, given that 2*z**2/7 + 14*z = 0.
-49, 0
Let y**5 - 10*y**4 - 68*y**3 + 1000*y**2 - 2944*y + 2560 = 0. What is y?
-10, 2, 8
Solve -13*o**3/2 - 37*o**2 - 41*o/2 + 10 = 0 for o.
-5, -1, 4/13
Solve -3*t**4 - 36*t**3 - 63*t**2 - 30*t = 0.
-10, -1, 0
Factor -3*l**2/4 - 393*l/4.
-3*l*(l + 131)/4
Suppose -2*p**5/9 - 14*p**4/9 + 6*p**3 - 58*p**2/9 + 20*p/9 = 0. Calculate p.
-10, 0, 1
Suppose -r**3/6 + 9*r**2/2 + 5*r - 28/3 = 0. What is r?
-2, 1, 28
Determine z, given that -3*z**4 - 39*z**3 - 144*z**2 - 204*z - 96 = 0.
-8, -2, -1
Factor -14*p**2/17 + 18*p/17 - 4/17.
-2*(p - 1)*(7*p - 2)/17
Let -3*h**5/7 + 18*h**4/7 + 45*h**3 + 42*h**2 = 0. What is h?
-7, -1, 0, 14
Find n such that -3*n**3 + 63*n**2 - 60*n = 0.
0, 1, 20
Factor k**3 + 48*k**2 + 467*k + 420.
(k + 1)*(k + 12)*(k + 35)
Factor -4*x**2 - 2408*x - 2404.
-4*(x + 1)*(x + 601)
Solve m**3 - 4*m**2 + 3*m = 0 for m.
0, 1, 3
Factor -n**4/4 - 3*n**3/2 - 2*n**2.
-n**2*(n + 2)*(n + 4)/4
Find m, given that -m**4/6 - 5*m**3/6 + 7*m**2/2 + 53*m/6 + 14/3 = 0.
-7, -1, 4
Factor 2*h**5 - 184*h**4 + 4584*h**3 - 16192*h**2 + 15488*h.
2*h*(h - 44)**2*(h - 2)**2
Factor -2*g**3/23 + 2*g**2/23 + 10*g/23 + 6/23.
-2*(g - 3)*(g + 1)**2/23
Factor 2*d**3/11 + 64*d**2/11 + 538*d/11 + 76.
2*(d + 2)*(d + 11)*(d + 19)/11
Factor -5*j**2/2 + 175*j - 345/2.
-5*(j - 69)*(j - 1)/2
Solve -c**4/8 - c**3/4 + 39*c**2/8 + 5*c - 50 = 0 for c.
-5, 4
Factor -7*s**3/6 + 29*s**2/3 - 64*s/3 + 16/3.
-(s - 4)**2*(7*s - 2)/6
Factor 2*p**3/19 - 44*p**2/19 - 94*p/19 - 48/19.
2*(p - 24)*(p + 1)**2/19
Determine n so that n**5 - 83*n**4 + 1593*n**3 + 5375*n**2 + 3698*n = 0.
-2, -1, 0, 43
Suppose 5*x**3 - 110*x**2 - 1655*x + 1760 = 0. Calculate x.
-11, 1, 32
Factor -2*z**2/7 - 2*z - 24/7.
-2*(z + 3)*(z + 4)/7
Factor -t**2/7 + 990*t/7 - 245025/7.
-(t - 495)**2/7
Determine v, given that 12*v**5 - 81*v**4 + 183*v**3 - 153*v**2 + 21*v + 18 = 0.
-1/4, 1, 2, 3
Factor 2*k**4/7 - 10*k**3/7 - 48*k**2/7 - 8*k/7 + 64/7.
2*(k - 8)*(k - 1)*(k + 2)**2/7
Let -2*m**2/5 - 272*m/5 - 9248/5 = 0. Calculate m.
-68
Factor 20*a**5 + 125*a**4 + 195*a**3 + 35*a**2 - 115*a - 60.
5*(a + 1)**3*(a + 4)*(4*a - 3)
Factor -5*m**2 - 1700*m - 144500.
-5*(m + 170)**2
Factor -2*b**2/5 - 4286*b/5 - 8564/5.
-2*(b + 2)*(b + 2141)/5
Suppose m**2/2 - 23*m/2 + 21 = 0. What is m?
2, 21
What is a in 32*a**3/7 + 36*a**2 + 36*a - 648/7 = 0?
-6, -3, 9/8
Let -4*y**3 - 84*y**2 - 588*y - 1372 = 0. Calculate y.
-7
Solve 3*w**5 + 21*w**4 + 45*w**3 + 15*w**2 - 48*w - 36 = 0.
-3, -2, -1, 1
Factor 7*q**2/5 + 11*q/5 - 6/5.
(q + 2)*(7*q - 3)/5
Suppose -4*b**4/7 + 6*b**3/7 + 4*b**2/7 = 0. What is b?
-1/2, 0, 2
What is k in 4*k**5 - 32*k**3 - 24*k**2 + 28*k + 24 = 0?
-2, -1, 1, 3
Factor u**3/4 - 259*u**2/4 + 4160*u + 4225.
(u - 130)**2*(u + 1)/4
Determine j, given that -j**3/9 - 1412*j**2/9 + 2827*j/9 - 1414/9 = 0.
-1414, 1
Let 4*q**3 + 244*q**2 + 1136*q + 896 = 0. Calculate q.
-56, -4, -1
Factor j**3/9 - 5*j**2 - 193*j/9 - 49/3.
(j - 49)*(j + 1)*(j + 3)/9
Let 2*y**2 - 154*y + 152 = 0. What is y?
1, 76
What is n in -3*n**3/8 + 3*n/8 = 0?
-1, 0, 1
Solve -10*x**3/11 + 296*x**2/11 - 40*x - 224/11 = 0.
-2/5, 2, 28
Let q**3 + 41*q**2 - 16*q - 656 = 0. Calculate q.
-41, -4, 4
Factor 2*s**2/13 - 31972*s/13 + 127776098/13.
2*(s - 7993)**2/13
Solve 14*x**4/13 + 44*x**3/13 + 34*x**2/13 + 4*x/13 = 0.
-2, -1, -1/7, 0
Factor -4*c**2 + 736*c - 33856.
-4*(c - 92)**2
Find u, given that u**2/8 - 557*u/4 + 310249/8 = 0.
557
Factor -o**3/6 + o**2/2 - o/3.
-o*(o - 2)*(o - 1)/6
Determine v, given that 2*v**5/13 - 10*v**4/13 - 42*v**3/13 + 106*v**2/13 - 56*v/13 = 0.
-4, 0, 1, 7
What is g in 5*g**4 + 40*g**3 + 60*g**2 - 160*g - 320 = 0?
-4, -2, 2
Find a, giv