ine s, given that s**5/4 - 65*s**4/2 + 1023*s**3 + 2178*s**2 = 0.
-2, 0, 66
Let -147*m**3 - 156*m**2 + 285*m + 18 = 0. Calculate m.
-2, -3/49, 1
Find s such that 5*s**3 - 435*s**2 = 0.
0, 87
Solve 2*n**4 + 76*n**3/5 - 122*n**2/5 + 36*n/5 = 0.
-9, 0, 2/5, 1
Solve -c**4 + 6*c**3 + 24*c**2 + 26*c + 9 = 0.
-1, 9
Suppose -3*g**4 - 30*g**3 + 69*g**2 - 36*g = 0. Calculate g.
-12, 0, 1
Factor t**2/7 - 5*t + 276/7.
(t - 23)*(t - 12)/7
Determine d so that -4*d**4/9 - 52*d**3/9 - 88*d**2/9 = 0.
-11, -2, 0
Determine f, given that 3*f**2 - 29826*f + 74132523 = 0.
4971
Determine m, given that -2*m**2/3 - 353*m/3 + 59 = 0.
-177, 1/2
Let -4*y**3 - 80*y**2 - 308*y + 968 = 0. Calculate y.
-11, 2
Solve -14*v**2 + 214*v - 60 = 0 for v.
2/7, 15
Factor 2*x**3 + 16*x**2 - 18*x.
2*x*(x - 1)*(x + 9)
What is u in 5*u**2 + 35*u + 50 = 0?
-5, -2
Factor -20*i**2/7 - 992*i/7 - 1536/7.
-4*(i + 48)*(5*i + 8)/7
Factor 4*k**4 + 88*k**3 + 237*k**2 + 173*k + 38.
(k + 2)*(k + 19)*(2*k + 1)**2
Solve -2*r**4/17 - 676*r**3/17 - 55746*r**2/17 + 233928*r/17 = 0.
-171, 0, 4
Let -b**3/2 + 11*b**2/2 + 68*b + 152 = 0. What is b?
-4, 19
Find y such that -y**2/2 + 826*y - 341138 = 0.
826
Solve v**2/2 - 187*v/2 + 93 = 0 for v.
1, 186
Determine k, given that -3*k**3 - 804*k**2 + 3*k + 804 = 0.
-268, -1, 1
Factor -4*a**3 - 68*a**2 + 80*a + 144.
-4*(a - 2)*(a + 1)*(a + 18)
Solve -2*s**2 - 192*s - 4608 = 0.
-48
Factor 2*c**5/7 - 20*c**4/7 + 48*c**3/7 - 44*c**2/7 + 2*c.
2*c*(c - 7)*(c - 1)**3/7
Factor -4*b**3 + 32*b**2 - 44*b - 80.
-4*(b - 5)*(b - 4)*(b + 1)
Factor -l**3/6 + 5*l**2/3 + 23*l/6 + 2.
-(l - 12)*(l + 1)**2/6
Determine d, given that -18*d**3 + 58*d**2 + 168*d - 40 = 0.
-2, 2/9, 5
Factor m**4 + m**3 - 4*m**2 - 4*m.
m*(m - 2)*(m + 1)*(m + 2)
What is l in 5*l**5/4 + 50*l**4 + 565*l**3/4 + 185*l**2/2 = 0?
-37, -2, -1, 0
Suppose 2*u**4/9 + 2*u**3/3 - 64*u**2/9 + 40*u/3 - 64/9 = 0. Calculate u.
-8, 1, 2
Factor -55*y**3 - 195*y**2 - 65*y + 75.
-5*(y + 1)*(y + 3)*(11*y - 5)
Factor -2*i**2/9 - 286*i/9 + 1480/9.
-2*(i - 5)*(i + 148)/9
Find i such that -2*i**2 + 26*i + 96 = 0.
-3, 16
Factor -2*w**3/7 - 3228*w**2/7 - 1736664*w/7 - 311441744/7.
-2*(w + 538)**3/7
Find a, given that 5*a**5/3 + 8*a**4/3 - 29*a**3/3 - 20*a**2/3 + 4*a = 0.
-3, -1, 0, 2/5, 2
Factor -3*w**3 - 3*w**2 + 30*w - 24.
-3*(w - 2)*(w - 1)*(w + 4)
What is p in 3*p**3/7 + 99*p**2 - 4239*p/7 + 6399/7 = 0?
-237, 3
Determine l, given that 4*l**5/3 + 20*l**4 + 316*l**3/3 + 236*l**2 + 688*l/3 + 80 = 0.
-6, -5, -2, -1
Solve 18*v**4/5 - 54*v**3 - 308*v**2/5 + 304*v/5 + 256/5 = 0.
-4/3, -2/3, 1, 16
Find l, given that -2*l**5/11 - 12*l**4/11 + 18*l**3/11 + 28*l**2/11 = 0.
-7, -1, 0, 2
Factor -2*d**3 - 606*d**2 - 45600*d + 46208.
-2*(d - 1)*(d + 152)**2
Factor -4*r**4 - 112*r**3 - 104*r**2 + 112*r + 108.
-4*(r - 1)*(r + 1)**2*(r + 27)
What is u in -2*u**2/13 - 980*u/13 - 978/13 = 0?
-489, -1
Suppose -3*x**2 + 1146*x + 2304 = 0. Calculate x.
-2, 384
Suppose 2*c**4/5 - 257*c**3/5 + 7791*c**2/5 + 30096*c/5 + 13068/5 = 0. Calculate c.
-3, -1/2, 66
Let 2*y**5 + 38*y**4/7 - 68*y**3/7 - 152*y**2/7 + 48*y/7 = 0. What is y?
-3, -2, 0, 2/7, 2
Find x, given that -8*x**3 - 68*x**2 - 124*x + 80 = 0.
-5, -4, 1/2
Let -3*f**5 + 12*f**4 - 3*f**3 - 18*f**2 = 0. Calculate f.
-1, 0, 2, 3
Factor -t**3 + 296*t**2 - 295*t.
-t*(t - 295)*(t - 1)
Solve -o**5 - o**4 + 21*o**3 - 47*o**2 + 40*o - 12 = 0.
-6, 1, 2
Suppose 2*g**3/3 + 40*g**2/3 + 74*g/3 + 12 = 0. Calculate g.
-18, -1
Suppose -3*y**5/8 + 3*y**4/2 + 297*y**3/8 - 21*y**2/4 - 105*y + 72 = 0. What is y?
-8, -2, 1, 12
Factor 3*y**2 + 864*y + 861.
3*(y + 1)*(y + 287)
Suppose -g**4/3 - 112*g**3/3 - 3136*g**2/3 = 0. Calculate g.
-56, 0
Determine g, given that -2*g**5/5 + 24*g**4/5 + 6*g**3 - 52*g**2/5 = 0.
-2, 0, 1, 13
Find a such that -3*a**2/4 - 33*a/4 + 9 = 0.
-12, 1
Let 4*n**2 + 32*n + 28 = 0. What is n?
-7, -1
Let -3*h**5/7 + 8*h**4/7 - 6*h**3/7 + h/7 = 0. What is h?
-1/3, 0, 1
Factor 8*n**2/9 - 178*n/9 + 44/9.
2*(n - 22)*(4*n - 1)/9
Factor -3*n**3/2 + 558*n**2 + 2241*n/2 + 561.
-3*(n - 374)*(n + 1)**2/2
Factor -t**4/5 + 28*t**3/5 - 278*t**2/5 + 1148*t/5 - 1617/5.
-(t - 11)*(t - 7)**2*(t - 3)/5
Find p such that 4*p**5 + 68*p**4 + 228*p**3 + 268*p**2 + 104*p = 0.
-13, -2, -1, 0
Determine m so that -2*m**4/7 + 8*m**3/7 - 2*m**2/7 - 12*m/7 = 0.
-1, 0, 2, 3
Factor -o**3/2 + 66*o**2 - 2178*o.
-o*(o - 66)**2/2
Factor -188*z**2 - 8*z.
-4*z*(47*z + 2)
Let 5*p**2 + 475*p - 1470 = 0. What is p?
-98, 3
Determine h so that -h**3/5 - 2*h**2 + 13*h/5 + 22/5 = 0.
-11, -1, 2
Factor 5*g**4 - 10*g**3 - 75*g**2 - 20*g + 100.
5*(g - 5)*(g - 1)*(g + 2)**2
Let p**3/5 + 7*p**2 + 288*p/5 - 324/5 = 0. What is p?
-18, 1
Find f such that 5*f**4/2 - 55*f**3/2 + 25*f**2 = 0.
0, 1, 10
Factor 7*y**5 + 30*y**4 + 8*y**3 - 112*y**2 - 144*y - 32.
(y - 2)*(y + 2)**3*(7*y + 2)
Factor 5*u**4 - 80*u**3 - 1975*u**2 - 3690*u - 1800.
5*(u - 30)*(u + 1)**2*(u + 12)
Find o such that 4*o**2/3 + 352*o/3 - 3920/3 = 0.
-98, 10
Find w, given that w**2/3 - 239*w/3 - 1976/3 = 0.
-8, 247
Factor 27*a**4 + 126*a**3 + 156*a**2 + 66*a + 9.
3*(a + 1)*(a + 3)*(3*a + 1)**2
Factor 6*b**2 - 10*b + 4.
2*(b - 1)*(3*b - 2)
Find b, given that -4*b**4/3 + 16*b**3 + 76*b**2/3 - 104*b = 0.
-3, 0, 2, 13
Determine a so that -a**3/3 - 83*a**2/3 + 30*a + 168 = 0.
-84, -2, 3
Factor 5*k**2 + 2580*k + 332820.
5*(k + 258)**2
Find n, given that n**3/2 + 9*n**2 = 0.
-18, 0
Find f such that 2*f**5/11 - 194*f**4/11 - 200*f**3/11 + 392*f**2/11 = 0.
-2, 0, 1, 98
Factor 2*k**4 + 30*k**3 + 58*k**2 - 414*k + 324.
2*(k - 2)*(k - 1)*(k + 9)**2
Find z such that z**3/6 - 7*z/6 - 1 = 0.
-2, -1, 3
Let -5*k**5 + 20*k**4 - 20*k**3 - 10*k**2 + 25*k - 10 = 0. What is k?
-1, 1, 2
Find g, given that g**4 + 698*g**3 + 121097*g**2 - 247100*g - 367500 = 0.
-350, -1, 3
Factor 13*q**2 + 56*q + 16.
(q + 4)*(13*q + 4)
Factor -87*a**2 - 603*a + 42.
-3*(a + 7)*(29*a - 2)
Find z such that 3*z**2 + 75*z = 0.
-25, 0
Factor -9*o**3/4 + 147*o**2/8 - 3*o.
-3*o*(o - 8)*(6*o - 1)/8
Determine k so that -4*k**4 + 12*k**3 + 12*k**2 - 44*k + 24 = 0.
-2, 1, 3
Factor g**5/2 - 95*g**4/2 + 1055*g**3 + 3455*g**2 + 7105*g/2 + 2401/2.
(g - 49)**2*(g + 1)**3/2
Determine y so that 5*y**2 + 1715*y + 1710 = 0.
-342, -1
Factor 25*b**5 + 70*b**4 + 40*b**3 - 50*b**2 - 65*b - 20.
5*(b - 1)*(b + 1)**3*(5*b + 4)
Suppose -n**4/5 - 21*n**3/5 - 99*n**2/5 - 139*n/5 - 12 = 0. What is n?
-15, -4, -1
Suppose 2*s**2 - 4*s + 2 = 0. Calculate s.
1
Factor -177957*w**5 + 684450*w**4 - 603720*w**3 - 103920*w**2 - 5520*w - 96.
-3*(w - 2)**2*(39*w + 2)**3
Find k, given that 5*k**3 + 75*k**2 + 130*k = 0.
-13, -2, 0
Solve -k**4/11 + 3*k**3/11 + 12*k**2/11 - 52*k/11 + 48/11 = 0 for k.
-4, 2, 3
Find h such that 2*h**2 + 638*h = 0.
-319, 0
Find b such that -2*b**2 + 234*b + 236 = 0.
-1, 118
Find g such that 3*g**2 - 3789*g - 3792 = 0.
-1, 1264
Factor 2*j**4/7 - 116*j**3/7 + 1682*j**2/7.
2*j**2*(j - 29)**2/7
Factor -v**3/10 + 41*v**2/10 - 176*v/5 - 726/5.
-(v - 22)**2*(v + 3)/10
Suppose -3*a**4 - 30*a**3 - 75*a**2 = 0. Calculate a.
-5, 0
Solve p**5/2 - 8*p**4 + 85*p**3/2 - 75*p**2 = 0 for p.
0, 5, 6
Suppose 9*h**5 - 1641*h**4/4 + 4584*h**3 + 4383*h**2/2 - 2415*h + 1587/4 = 0. What is h?
-1, 1/4, 1/3, 23
Factor g**3/2 + 7*g**2 + 13*g/2.
g*(g + 1)*(g + 13)/2
Factor h**5 - 13*h**4 + 23*h**3 - 11*h**2.
h**2*(h - 11)*(h - 1)**2
Factor -i**4 - 2*i**3 + i**2 + 2*i.
-i*(i - 1)*(i + 1)*(i + 2)
Find l, given that 5*l**4 - 45*l**3 - 560*l**2 = 0.
-7, 0, 16
Let 675*i**4 + 1386*i**3 + 759*i**2 - 36*i - 84 = 0. Calculate i.
-1, -2/3, 7/25
What is r in 2*r**2/3 - 36*r + 486 = 0?
27
Suppose -60*w**5 - 25*w**4 + 190*w**3 + 195*w**2 + 20*w - 20 = 0. Calculate w.
-1, -2/3, 1/4, 2
Let 3*r**4/4 + 3*r**3/2 - 27*r**2/4 - 3*r/2 + 6 = 0. Calculate r.
-4, -1, 1, 2
Determine w, given that 90601*w**5 - 272405*w**4 + 183009*w**3 - 1207*w**2 + 2*w = 0.
0, 1/301, 1, 2
Factor -4*v**4 + 16*v**3 - 64*v + 64.
-4*(v - 2)**3*(v + 2)
Solve 3*u**5 - 138*u**4 + 2007*u**3 - 7248*u**2 - 31488*u + 36864 = 0.
-3, 1, 16
Solve -v**2/6 + 7*v/6 + 3 = 0 for v.
-2, 9
Factor -2*u**3/7 - 130*u**2/7 - 254*u/7 - 18.
-2*(u + 1)**2*(u + 63)/7
Solve 186*l**3 - 242*l**2 + 54*l + 2 = 0.
-1/31, 1/3, 1
Factor 2*f**4/7 + 8*f**3/7 - 54*f**2/7 + 76*f/7 - 32/7.
2*(f - 2)*(f - 1)**2*(f + 8)/7
Find t, given that t**2/6 - 27