w + 33)*(11*w - 2)/2
Find m such that 2*m**3 - 16*m**2 + 26*m - 12 = 0.
1, 6
Solve 15*c**5 + 40*c**4 - 85*c**3 - 10*c**2 + 40*c = 0 for c.
-4, -2/3, 0, 1
Suppose -l**3 - 37*l**2 - 195*l - 279 = 0. What is l?
-31, -3
What is t in -2*t**4 + 80*t**3 - 152*t**2 = 0?
0, 2, 38
Determine a so that a**5/3 + a**4/3 - 10*a**3/3 - 4*a**2/3 + 8*a = 0.
-3, -2, 0, 2
Factor b**5 + 18*b**4 + 97*b**3 + 144*b**2 + 64*b.
b*(b + 1)**2*(b + 8)**2
Factor i**2/7 - 20*i/7 - 3.
(i - 21)*(i + 1)/7
Determine w so that w**5/9 - w**4/3 - 32*w**3/9 + 44*w**2/3 - 32*w/9 - 64/3 = 0.
-6, -1, 2, 4
Determine w so that 4*w**2/3 - 1226*w/5 - 368/15 = 0.
-1/10, 184
Factor -x**3 - 394*x**2 - 37185*x + 323208.
-(x - 8)*(x + 201)**2
Factor -3*w**3/7 - 60*w**2/7 - 237*w/7 - 180/7.
-3*(w + 1)*(w + 4)*(w + 15)/7
Factor 121*j**3/3 + 418*j**2/3 + 416*j/3 + 128/3.
(j + 2)*(11*j + 8)**2/3
Factor 4*d**4/5 + 16*d**3/5 - 72*d**2/5 - 432*d/5 - 108.
4*(d - 5)*(d + 3)**3/5
Find n, given that 2*n**2 + 3638*n = 0.
-1819, 0
What is j in -10*j**4/9 + 104*j**3/9 - 130*j**2/9 + 4*j = 0?
0, 2/5, 1, 9
Factor 7*q**5 - 114*q**4 + 347*q**3 + 1044*q**2 - 324*q.
q*(q - 9)**2*(q + 2)*(7*q - 2)
Factor 3*h**4 - 969*h**3 + 81546*h**2 - 529932*h + 449352.
3*(h - 158)**2*(h - 6)*(h - 1)
Factor 2*k**3/11 + 46*k**2/11 - 464*k/11 + 992/11.
2*(k - 4)**2*(k + 31)/11
Determine a so that 12*a**5/7 - 69*a**4/7 + 114*a**3/7 - 39*a**2/7 - 18*a/7 = 0.
-1/4, 0, 1, 2, 3
Find j such that j**2 + 3120*j + 2433600 = 0.
-1560
Suppose 2*x**3 + 48*x**2 - 218*x + 168 = 0. Calculate x.
-28, 1, 3
Factor -4*y**2 + 44*y.
-4*y*(y - 11)
Factor -n**4/8 - 3*n**3/8 - 3*n**2/8 - n/8.
-n*(n + 1)**3/8
Solve 5*y**3/3 - 320*y**2 + 20480*y - 1310720/3 = 0.
64
Factor 453*r**4/2 + 909*r**3/2 + 3*r**2.
3*r**2*(r + 2)*(151*r + 1)/2
Factor -5*f**4 - 100*f**3 + 1305*f**2.
-5*f**2*(f - 9)*(f + 29)
Factor 2*z**2 + 24*z - 90.
2*(z - 3)*(z + 15)
Determine c, given that 2*c**3/7 + 16*c**2/7 - 38*c/7 + 20/7 = 0.
-10, 1
Find p, given that p**5 - 13*p**4/3 + 5*p**3/3 + 25*p**2/3 - 8*p/3 - 4 = 0.
-1, -2/3, 1, 2, 3
Determine m so that -m**5 + 5*m**4 + 2*m**3 - 42*m**2 + 63*m - 27 = 0.
-3, 1, 3
Solve r**2 - 19*r - 120 = 0 for r.
-5, 24
What is d in 18*d**4 - 220*d**3 + 426*d**2 - 264*d + 40 = 0?
2/9, 1, 10
Find a, given that -2*a**4 - 2*a**3 + 18*a**2 - 22*a + 8 = 0.
-4, 1
Solve -2*d**2 - 4*d = 0 for d.
-2, 0
Suppose s**2/11 + 236*s/11 - 237/11 = 0. Calculate s.
-237, 1
Factor 6*t**4 + 52*t**3 + 90*t**2 - 36*t.
2*t*(t + 3)*(t + 6)*(3*t - 1)
Find r such that -10*r**4/3 + 56*r**3/3 + 8*r**2 = 0.
-2/5, 0, 6
Factor -4*z**3 + 828*z**2 - 39804*z - 320572.
-4*(z - 107)**2*(z + 7)
Determine d, given that -3*d**4/2 - 61*d**3 + 22*d**2 + 61*d - 41/2 = 0.
-41, -1, 1/3, 1
Suppose -135*u**3/2 - 34365*u**2/2 + 22940*u/3 - 850 = 0. What is u?
-255, 2/9
Determine f so that -f**5/9 + 38*f**4/3 + 589*f**3/9 + 238*f**2/3 = 0.
-3, -2, 0, 119
Factor -2*a**2 + 26*a + 60.
-2*(a - 15)*(a + 2)
Suppose -2*n**5/5 - 26*n**4/5 - 96*n**3/5 - 136*n**2/5 - 64*n/5 = 0. Calculate n.
-8, -2, -1, 0
Suppose -3*g**5/7 + 456*g**4/7 + 9*g**3/7 - 1362*g**2/7 - 912*g/7 = 0. Calculate g.
-1, 0, 2, 152
Suppose 5*y**4 + 440*y**3 - 1820*y**2 + 1840*y = 0. Calculate y.
-92, 0, 2
Let 3*n**5/5 + 12*n**4 + 54*n**3/5 - 12*n**2 - 57*n/5 = 0. What is n?
-19, -1, 0, 1
Determine o so that -2343*o**2/2 + 2349*o/2 - 3 = 0.
2/781, 1
Determine r so that 3*r**5 + 6*r**4 - 15*r**3 - 18*r**2 = 0.
-3, -1, 0, 2
Find y, given that 2*y**3 - 424*y**2 + 422*y = 0.
0, 1, 211
Find f such that -2*f**3/7 + 5382*f**2/7 - 3623430*f/7 + 3618050/7 = 0.
1, 1345
Factor 2*d**3/3 - 10*d**2/3 - 34*d/3 + 14.
2*(d - 7)*(d - 1)*(d + 3)/3
Suppose j**5 + 5*j**4 - 58*j**3 + 88*j**2 = 0. What is j?
-11, 0, 2, 4
Let -w**4/3 - 49*w**3/3 - 95*w**2/3 - 47*w/3 = 0. What is w?
-47, -1, 0
Let 12*i**3 - 28*i**2 = 0. Calculate i.
0, 7/3
Factor -3*a**5/4 + 51*a**4/4 + 171*a**3/4 + 177*a**2/4 + 15*a.
-3*a*(a - 20)*(a + 1)**3/4
Determine v, given that -3*v**3/4 + 3*v/4 = 0.
-1, 0, 1
Find c, given that 5*c**2 + 30*c - 275 = 0.
-11, 5
Factor -5*r**2 - 80*r - 240.
-5*(r + 4)*(r + 12)
Factor 4394*i**3/9 - 9464*i**2/3 + 20384*i/3 - 43904/9.
2*(13*i - 28)**3/9
Factor 2*t**3/3 + 436*t**2 - 1310*t/3.
2*t*(t - 1)*(t + 655)/3
Suppose -52*y**4/3 - 203*y**3/3 - 62*y**2 + 28*y/3 + 8/3 = 0. Calculate y.
-2, -2/13, 1/4
What is y in -3*y**3 - 74*y**2 + 187*y - 54 = 0?
-27, 1/3, 2
Find w, given that 2*w**2 + 7260*w + 6588450 = 0.
-1815
Solve 9*c**2 + 5*c - 4 = 0.
-1, 4/9
Suppose -3*j**4/2 + 15*j**3 + 69*j**2/2 + 18*j = 0. What is j?
-1, 0, 12
Factor 2*g**2 - 38*g - 40.
2*(g - 20)*(g + 1)
Suppose -8*f**5 - 10*f**4 + 446*f**3 + 112*f**2 = 0. What is f?
-8, -1/4, 0, 7
Factor 2*q**2 - 10*q + 12.
2*(q - 3)*(q - 2)
Determine z, given that z**3/4 + 9*z**2/4 + 5*z + 3 = 0.
-6, -2, -1
What is r in -r**3/2 + r**2/2 + 3*r = 0?
-2, 0, 3
Find c, given that -5*c**4 - 10*c**3 + 200*c**2 - 320*c = 0.
-8, 0, 2, 4
Let -2*c**3 - 118*c**2 - 230*c - 114 = 0. Calculate c.
-57, -1
Suppose 3*x**2 - 74*x - 25 = 0. What is x?
-1/3, 25
Factor -5*c**3 + 35*c**2.
-5*c**2*(c - 7)
Factor -p**3/4 - p**2/2 - p/4.
-p*(p + 1)**2/4
Find m such that 5*m**2 - 60*m - 140 = 0.
-2, 14
Factor -2*j**2/5 + 44*j/5 - 242/5.
-2*(j - 11)**2/5
Factor -1250*j**2/3 - 2800*j/3 - 1568/3.
-2*(25*j + 28)**2/3
Factor g**2/10 - 42*g/5 - 17/2.
(g - 85)*(g + 1)/10
Factor -3*j**4 - 315*j**3 - 7437*j**2 + 44055*j - 36300.
-3*(j - 4)*(j - 1)*(j + 55)**2
Find r, given that 10*r**5 + 45*r**4/2 - 265*r**3 - 2295*r**2/2 - 1350*r - 270 = 0.
-3, -2, -1/4, 6
Factor 2*t**2/7 + 7264*t/7 + 7262/7.
2*(t + 1)*(t + 3631)/7
Let -3*z**2 + 1524*z + 1527 = 0. Calculate z.
-1, 509
Let -a**5/5 + 12*a**4/5 + a**3/5 - 12*a**2/5 = 0. What is a?
-1, 0, 1, 12
Find a such that -4*a**4 + 104*a**3 - 96*a**2 - 104*a + 100 = 0.
-1, 1, 25
Factor -v**3 + 233*v**2 + 469*v + 235.
-(v - 235)*(v + 1)**2
Factor -b**4/3 - 185*b**3/3 - 367*b**2/3 - 61*b.
-b*(b + 1)**2*(b + 183)/3
Suppose 2*w**5/19 - 8*w**3/19 - 4*w**2/19 + 6*w/19 + 4/19 = 0. What is w?
-1, 1, 2
Factor 2*q**3/9 + 26*q**2/9 + 80*q/9.
2*q*(q + 5)*(q + 8)/9
Factor 2*u**2/7 + 160*u/7 + 1152/7.
2*(u + 8)*(u + 72)/7
Factor -2*x**4/9 + 8*x**3/9 - 10*x**2/9 + 4*x/9.
-2*x*(x - 2)*(x - 1)**2/9
Factor 7*a**2/4 + 603*a/4 + 43/2.
(a + 86)*(7*a + 1)/4
Let -o**3/6 + 53*o**2/6 + 109*o/6 + 55/6 = 0. What is o?
-1, 55
Factor 2*m**2/9 - 22*m - 404/9.
2*(m - 101)*(m + 2)/9
Factor -2*y**4/5 + 72*y**3/5 - 14*y**2.
-2*y**2*(y - 35)*(y - 1)/5
Solve p**4/3 - 55*p**3/3 + 53*p**2 - 157*p/3 + 52/3 = 0.
1, 52
Find b such that 2*b**4/3 + 50*b**3/9 - 4*b**2 = 0.
-9, 0, 2/3
Factor v**3/2 - 149*v**2/2 - 75*v.
v*(v - 150)*(v + 1)/2
Solve -3*j**4/2 - 3*j**3/2 + 15*j**2/2 - 9*j/2 = 0.
-3, 0, 1
Find t, given that -t**4 - 98*t**3 - 96*t**2 + 98*t + 97 = 0.
-97, -1, 1
Determine q, given that -150*q**5 + 335*q**4 - 210*q**3 + 15*q**2 + 10*q = 0.
-1/6, 0, 2/5, 1
Factor -3*d**2/5 - 78*d/5 - 15.
-3*(d + 1)*(d + 25)/5
Suppose m**4 + 51*m**3 + 864*m**2 + 5360*m + 9600 = 0. Calculate m.
-20, -8, -3
Find f, given that 2*f**5/5 - 6*f**4/5 - 32*f**3/5 - 24*f**2/5 = 0.
-2, -1, 0, 6
Suppose 5*c**3 - 440*c**2 + 9680*c = 0. What is c?
0, 44
What is l in 4*l**4/7 - 36*l**3/7 - 12*l**2 - 44*l/7 = 0?
-1, 0, 11
Solve -13*q**3 - 95*q**2 - 150*q = 0.
-5, -30/13, 0
Solve 5*y**2 - 225*y + 220 = 0.
1, 44
What is x in -x**4/6 + 5*x**3/6 + x**2 = 0?
-1, 0, 6
Suppose -u**3/6 + 3*u**2/2 - 10*u/3 = 0. Calculate u.
0, 4, 5
Suppose 2*x**2 - 38*x + 176 = 0. Calculate x.
8, 11
What is y in y**5 + 15*y**4 - 2*y**3 - 30*y**2 + y + 15 = 0?
-15, -1, 1
Determine b so that -4*b**2/9 + 184*b/9 + 1484/9 = 0.
-7, 53
Determine s so that 76*s**3/3 - 188*s**2/3 + 32*s/3 + 80/3 = 0.
-10/19, 1, 2
What is t in 80*t**5 - 1320*t**4 + 3805*t**3 - 2005*t**2 - 1800*t - 260 = 0?
-1/4, 2, 13
What is g in 25*g**4 - 95*g**3 + 80*g**2 + 20*g = 0?
-1/5, 0, 2
Factor -5*v**2/4 - 90*v - 4275/4.
-5*(v + 15)*(v + 57)/4
Factor 4*x**4 - 480*x**3 - 976*x**2.
4*x**2*(x - 122)*(x + 2)
Factor 2*u**3 + 144*u**2 - 1806*u + 1660.
2*(u - 10)*(u - 1)*(u + 83)
Find u, given that -5*u**5 - 30*u**4 + 270*u**2 + 405*u = 0.
-3, 0, 3
Let 16*g**4/9 - 11*g**3/3 - 46*g**2/9 + g/3 = 0. Calculate g.
-1, 0, 1/16, 3
Solve 3*i**5/10 - 2*i**4/5 - 11*i**3/10 + 8*i**2/5 - 2*i/5 = 0 for i.
-2, 0, 1/3, 1, 2
Let -2*m**5/7 - 18*m**4/7 - 58*