*n**2/7 - 1164*n/7 + 2/7.
-2*(n + 1)**2*(584*n - 1)/7
Find w, given that 2*w**5 + 2*w**4 - 50*w**3 - 50*w**2 = 0.
-5, -1, 0, 5
Factor -2*n**3 + 14*n**2 - 30*n + 18.
-2*(n - 3)**2*(n - 1)
Factor -s**5 + 5*s**4 + 44*s**3 - 368*s**2 + 832*s - 512.
-(s - 4)**3*(s - 1)*(s + 8)
Factor -p**3/3 + 2*p**2/3 + 91*p/3 + 88/3.
-(p - 11)*(p + 1)*(p + 8)/3
Factor 2*s**4/5 - 54*s**3/5 + 30*s**2 - 146*s/5 + 48/5.
2*(s - 24)*(s - 1)**3/5
Suppose 3*k**5/2 - 33*k**4 + 423*k**3/2 - 330*k**2 + 150*k = 0. What is k?
0, 1, 10
Factor 4*g**3/3 + 3*g**2 - 58*g/3 - 5.
(g - 3)*(g + 5)*(4*g + 1)/3
Factor 4*u**2/9 - 9424*u/9 + 5550736/9.
4*(u - 1178)**2/9
Factor -5*z**5 + 760*z**4 + 9600*z**3 + 39040*z**2 + 52480*z.
-5*z*(z - 164)*(z + 4)**3
What is c in -5625*c**4/7 + 22800*c**3/7 - 23704*c**2/7 + 1216*c/7 - 16/7 = 0?
2/75, 2
Find q, given that -2*q**5/7 - 158*q**4/7 - 3260*q**3/7 + 12028*q**2/7 + 78802*q - 417074 = 0.
-31, 7
Factor -2*m**3/7 - 114*m**2/7 - 90*m - 918/7.
-2*(m + 3)**2*(m + 51)/7
Factor -s**2 - 224*s + 225.
-(s - 1)*(s + 225)
Let t**4/8 + 11*t**3/8 + 35*t**2/8 + 25*t/8 = 0. What is t?
-5, -1, 0
Suppose -6792*x**3 + 4540*x**2 + 2256*x - 4 = 0. Calculate x.
-1/3, 1/566, 1
Find p, given that -4*p**4 + 60*p**3 - 104*p**2 = 0.
0, 2, 13
What is o in o**5/6 + 17*o**4/6 + 31*o**3/2 + 211*o**2/6 + 103*o/3 + 12 = 0?
-9, -4, -2, -1
Let -4*y**4 + 96*y**3 - 468*y**2 - 1240*y - 672 = 0. What is y?
-1, 12, 14
Factor -m**2 + 104*m - 303.
-(m - 101)*(m - 3)
Solve -d**4/5 + 3*d**3/5 + 4*d**2 - 84*d/5 + 16 = 0 for d.
-5, 2, 4
Let 3*k**2/4 - 24*k - 108 = 0. Calculate k.
-4, 36
Factor t**5/3 - 5*t**4/3 + 2*t**3/3 + 20*t**2/3 - 8*t.
t*(t - 3)*(t - 2)**2*(t + 2)/3
Factor -a**2 + 518*a - 67081.
-(a - 259)**2
Determine r, given that 2*r**3 - 42*r**2 - 2*r + 42 = 0.
-1, 1, 21
Determine s so that -5*s**2 + 230*s - 225 = 0.
1, 45
Factor -3*k**3 + 3*k**2 + 6*k.
-3*k*(k - 2)*(k + 1)
Find y such that -2*y**4/9 - 26*y**3/9 - 40*y**2/3 - 232*y/9 - 160/9 = 0.
-5, -4, -2
Factor 2*g**3 + 214*g**2 + 208*g - 424.
2*(g - 1)*(g + 2)*(g + 106)
Find c, given that -14*c**4/5 - 6*c**3/5 + 98*c**2/5 + 126*c/5 + 36/5 = 0.
-2, -1, -3/7, 3
Solve -f**3 - 18*f**2 - 87*f - 70 = 0.
-10, -7, -1
Solve 4*h**2 + 472*h + 928 = 0 for h.
-116, -2
Factor -4*a**3 + 8*a**2 + 4*a - 8.
-4*(a - 2)*(a - 1)*(a + 1)
Factor 3*d**4 - 18*d**3 + 15*d**2.
3*d**2*(d - 5)*(d - 1)
Let -5*a**4 - 50*a**3 + 20*a**2 + 200*a = 0. Calculate a.
-10, -2, 0, 2
Factor -t**2 - 10*t - 21.
-(t + 3)*(t + 7)
Factor -4*l**5 + 60*l**4 - 156*l**3 + 148*l**2 - 48*l.
-4*l*(l - 12)*(l - 1)**3
Suppose a**4/2 + a**3 - 7*a**2/2 - 10*a - 6 = 0. Calculate a.
-2, -1, 3
Let -p**4 - 15*p**3 + 18*p**2 + 32*p = 0. What is p?
-16, -1, 0, 2
Determine d, given that -5*d**3 + 75*d**2 + 185*d - 255 = 0.
-3, 1, 17
Determine a, given that 5*a**2/2 - 50*a + 250 = 0.
10
Determine k, given that -4*k**4/5 + 2*k**3 + 102*k**2/5 + 32*k + 56/5 = 0.
-2, -1/2, 7
Suppose 2*k**4 + 4*k**3 - 6*k**2 - 8*k + 8 = 0. What is k?
-2, 1
Factor -2*n**3/3 + 584*n**2 + 1170*n + 1756/3.
-2*(n - 878)*(n + 1)**2/3
Factor -2*f**2 + 594*f - 2344.
-2*(f - 293)*(f - 4)
Factor m**2/5 - 482*m/5 + 58081/5.
(m - 241)**2/5
Determine q, given that -q**4/2 - 71*q**3 + 727*q**2/2 - 586*q + 294 = 0.
-147, 1, 2
Factor -o**3 - 2050*o**2 - 1050625*o.
-o*(o + 1025)**2
Factor 14*k**3 + 12*k**2 - 18*k - 16.
2*(k + 1)**2*(7*k - 8)
Factor -s**3/2 + 5*s**2 - 29*s/2 + 10.
-(s - 5)*(s - 4)*(s - 1)/2
Factor -5*s**5 - 185*s**4 + 820*s**3 - 80*s**2 - 3200*s + 3280.
-5*(s - 2)**3*(s + 2)*(s + 41)
Suppose 20*q**3 - 5160*q**2 - 5175*q - 1295 = 0. Calculate q.
-1/2, 259
What is i in -i**5/4 - i**4/2 + i**3 + i**2/2 - 3*i/4 = 0?
-3, -1, 0, 1
Factor 3*k**4/8 + 15*k**3/8 + 21*k**2/8 + 9*k/8.
3*k*(k + 1)**2*(k + 3)/8
Solve -z**2/4 + 29*z/4 - 7 = 0.
1, 28
Factor -5*m**3/4 + m**2 + m/4.
-m*(m - 1)*(5*m + 1)/4
Factor 2*c**3/5 - 26*c**2/5 + 12*c/5 + 144/5.
2*(c - 12)*(c - 3)*(c + 2)/5
Factor 2*c**3/9 - 130*c**2/3 + 1156*c/9 - 256/3.
2*(c - 192)*(c - 2)*(c - 1)/9
Factor 471*s**2/5 - 18*s/5.
3*s*(157*s - 6)/5
Let -3*w**2/2 + 15*w/2 - 6 = 0. Calculate w.
1, 4
Let 3*u**4 + 21*u**3 + 9*u**2 - 93*u + 60 = 0. What is u?
-5, -4, 1
Factor -2*a**2 + 32*a - 30.
-2*(a - 15)*(a - 1)
Let a**3/4 - 21*a**2/4 - 97*a/4 - 75/4 = 0. Calculate a.
-3, -1, 25
Determine i so that 3*i**2/4 + 3*i/2 - 105/4 = 0.
-7, 5
Factor -g**4/2 - 29*g**3/2 - 129*g**2 - 288*g + 432.
-(g - 1)*(g + 6)*(g + 12)**2/2
Let -6*a**5 + 33*a**4 - 12*a**3 - 87*a**2 - 36*a = 0. What is a?
-1, -1/2, 0, 3, 4
Factor 4*l**3 - 52*l**2 - 184*l - 128.
4*(l - 16)*(l + 1)*(l + 2)
Solve 784*c**3/5 + 308*c**2/5 + 32*c/5 + 1/5 = 0.
-1/4, -1/14
Solve -3*y**3/4 + 63*y**2/2 - 243*y/4 + 30 = 0.
1, 40
Find l, given that 4*l**2 - 28*l + 40 = 0.
2, 5
Determine a so that 2*a**2/5 - 96*a + 5760 = 0.
120
Determine g so that -2*g**3/9 - 208*g**2/9 - 206*g/9 = 0.
-103, -1, 0
Let 5*s**3 - 105*s**2 - 1020*s + 1120 = 0. What is s?
-8, 1, 28
Suppose -2*t**4 - 86*t**3 - 1226*t**2 - 6426*t - 10404 = 0. Calculate t.
-17, -6, -3
Factor -5*y**4 - 40*y**3 + 9490*y**2 + 38280*y - 4579245.
-5*(y - 29)**2*(y + 33)**2
Factor -2*h**2/5 + 72*h - 990.
-2*(h - 165)*(h - 15)/5
Factor -n**3/8 + 17*n**2/8 + 53*n/4 + 11.
-(n - 22)*(n + 1)*(n + 4)/8
Factor -4*l**2 - 108*l.
-4*l*(l + 27)
Factor -29282*k**2/3 - 484*k - 6.
-2*(121*k + 3)**2/3
Solve 7*z**3 - 3*z**2 - 4*z = 0 for z.
-4/7, 0, 1
Factor g**3/4 + 11*g**2/4 - 15*g.
g*(g - 4)*(g + 15)/4
Determine u, given that 2*u**4/9 + 32*u**3/9 + 52*u**2/3 + 224*u/9 + 98/9 = 0.
-7, -1
Find i such that 15*i**4 - 6355*i**3 - 2130*i**2 + 4240*i = 0.
-1, 0, 2/3, 424
Factor 2*v**2/5 + 2*v/5 - 8.
2*(v - 4)*(v + 5)/5
Find i such that 2*i**3 + 20*i**2 - 46*i - 264 = 0.
-11, -3, 4
Let -10*y**5 + 35*y**4 - 35*y**3 + 10*y**2 = 0. Calculate y.
0, 1/2, 1, 2
Find t such that -16*t**3/3 - 316*t**2/3 + 784*t/3 - 176/3 = 0.
-22, 1/4, 2
Let -2*c**2/3 - 124*c/3 + 42 = 0. Calculate c.
-63, 1
Determine t, given that -98*t**4/9 - 1540*t**3/9 - 7226*t**2/9 - 3080*t/3 - 392 = 0.
-7, -6/7
Factor 3*h**3/5 - 153*h**2/5 + 297*h/5 - 147/5.
3*(h - 49)*(h - 1)**2/5
Solve -3*n**4/2 + 12*n**3 - 27*n**2 + 24*n - 15/2 = 0 for n.
1, 5
Suppose 3*k**3 - 17*k**2/2 + 5*k = 0. What is k?
0, 5/6, 2
Factor 2*z**4/11 - 244*z**3/11 + 6938*z**2/11 + 30744*z/11 + 31752/11.
2*(z - 63)**2*(z + 2)**2/11
Determine j so that 3*j**4 + 12*j**3 - 114*j**2 + 180*j - 81 = 0.
-9, 1, 3
Suppose -3*c**2 - 3984*c - 1322688 = 0. Calculate c.
-664
Factor v**4/2 - 51*v**3/2 + 360*v**2 - 864*v.
v*(v - 24)**2*(v - 3)/2
Find y, given that -3*y**4/5 + 3*y**3/5 + 27*y**2/5 - 27*y/5 = 0.
-3, 0, 1, 3
Let -4*f**2 - 408*f + 412 = 0. Calculate f.
-103, 1
Suppose 5*h**4 - 21255*h**3/4 + 5655145*h**2/4 - 4224105*h/4 - 1409805/4 = 0. What is h?
-1/4, 1, 531
Factor -3*h**3/4 - 3237*h**2/2 + 6477*h/4.
-3*h*(h - 1)*(h + 2159)/4
Factor l**4 + 86*l**3 + 2436*l**2 + 21866*l - 24389.
(l - 1)*(l + 29)**3
What is f in f**3 - 28*f**2 - 59*f - 30 = 0?
-1, 30
Factor -i**3 - 5*i**2 - 2*i + 8.
-(i - 1)*(i + 2)*(i + 4)
Determine t so that -2*t**5/17 + 10*t**4/17 - 6*t**3/17 - 10*t**2/17 + 8*t/17 = 0.
-1, 0, 1, 4
Factor 3*r**3 - 208*r**2 - 141*r + 70.
(r - 70)*(r + 1)*(3*r - 1)
Suppose -c**3/4 - 3*c**2 - 29*c/4 + 21/2 = 0. Calculate c.
-7, -6, 1
Factor 3*p**4/4 + 2*p**3 - 2*p**2 - 8*p - 4.
(p - 2)*(p + 2)**2*(3*p + 2)/4
Factor 2*h**2 - 122*h + 236.
2*(h - 59)*(h - 2)
Factor 8*a**3 - 6542*a**2 - 1636*a.
2*a*(a - 818)*(4*a + 1)
Factor -c**3/3 + 23*c**2/3 + 50*c/3.
-c*(c - 25)*(c + 2)/3
Determine p, given that -p**4/4 + p**3/2 + 243*p**2/4 + 364*p + 304 = 0.
-8, -1, 19
Factor 4*l**2/7 + 17*l/7.
l*(4*l + 17)/7
Factor -2*z**3/7 + 22*z**2 - 3040*z/7 + 2888/7.
-2*(z - 38)**2*(z - 1)/7
Let -y**5 + 3*y**4 + 16*y**3 - 20*y**2 - 96*y - 64 = 0. Calculate y.
-2, -1, 4
Find a such that -250*a**2 - 675*a + 70 = 0.
-14/5, 1/10
What is n in -3*n**3 - 84*n**2 + 513*n + 594 = 0?
-33, -1, 6
Factor -4*x**5/7 - 4*x**4 - 76*x**3/7 - 100*x**2/7 - 64*x/7 - 16/7.
-4*(x + 1)**3*(x + 2)**2/7
Factor v**2/4 + 311*v/8 + 155/8.
(v + 155)*(2*v + 1)/8
Suppose 2*i**2/9 + 1556*i/9 + 302642/9 = 0. What is i?
-389
Let -9*x**4/2 - 105*x**3 + 143*x**2/2 - 12*x = 0. Calculate x.
-24, 0, 1/3
Factor -2*n**3 - 10*n**2 + 2*n + 10.
-2*(n - 1)*(n + 1)*(n + 5)
Find i such that -69*i**2 - 141*i - 6 = 0.
-2, -1/23
Determine