-c*(c - 18)/3
Determine k, given that 3*k**3 - 6*k**2 - 15*k + 18 = 0.
-2, 1, 3
Determine f so that -3*f**4/4 + 57*f**3/4 + 225*f**2/4 - 609*f/4 + 165/2 = 0.
-5, 1, 22
Find r such that -2*r**2 - 102*r + 212 = 0.
-53, 2
Find h, given that -3*h**2 + 594*h + 597 = 0.
-1, 199
Find n such that -12*n**5 + 213*n**4 - 522*n**3 + 408*n**2 - 42*n - 45 = 0.
-1/4, 1, 15
Determine y, given that -3*y**4 + 30*y**3 - 36*y**2 - 216*y = 0.
-2, 0, 6
Factor l**5 - 9*l**3 - 4*l**2 + 12*l.
l*(l - 3)*(l - 1)*(l + 2)**2
Factor 3*x**2/7 + 228*x/7.
3*x*(x + 76)/7
Determine x so that 4*x**5/17 - 10*x**4/17 - 2*x**3 + 94*x**2/17 - 18*x/17 - 36/17 = 0.
-3, -1/2, 1, 2, 3
Suppose 3*y**4 + 6*y**3 - 12*y**2 - 24*y = 0. Calculate y.
-2, 0, 2
Factor 4*a**4 - 8*a**3 + 8*a - 4.
4*(a - 1)**3*(a + 1)
Factor 2*b**4/11 - 4*b**3/11 - 6*b**2/11 + 8*b/11 + 8/11.
2*(b - 2)**2*(b + 1)**2/11
Factor 3*j**4/2 + 306*j**3 + 15297*j**2 - 31518*j + 31827/2.
3*(j - 1)**2*(j + 103)**2/2
What is k in -3*k**5 - 48*k**4 + 3*k**3 + 48*k**2 = 0?
-16, -1, 0, 1
Find a, given that 5*a**2 + 60*a - 425 = 0.
-17, 5
What is a in 14*a**3 + 416*a**2 - 554*a + 124 = 0?
-31, 2/7, 1
Let -3*c**4 + 516*c**3 - 5904*c**2 + 23232*c - 30720 = 0. Calculate c.
4, 160
Factor y**2 - 23*y - 210.
(y - 30)*(y + 7)
Factor 10*v**4/9 + 3326*v**3/9 - 148*v**2.
2*v**2*(v + 333)*(5*v - 2)/9
Suppose 4*g**5/9 + 44*g**4/9 - 104*g**3/9 + 8*g**2/9 + 100*g/9 - 52/9 = 0. What is g?
-13, -1, 1
Factor 18*v**3 + 138*v**2 + 182*v - 338.
2*(v - 1)*(3*v + 13)**2
Factor 2*a**2 - 38*a - 1560.
2*(a - 39)*(a + 20)
Factor -2*g**3/5 - 1108*g**2/5 - 4408*g/5 - 880.
-2*(g + 2)**2*(g + 550)/5
Suppose -4*n**4 - 96*n**3 - 736*n**2 - 1920*n - 1600 = 0. Calculate n.
-10, -2
Factor -2*x**3/13 + 300*x**2/13.
-2*x**2*(x - 150)/13
Let -3*r**2 + 780*r - 2313 = 0. What is r?
3, 257
Factor n**3/2 + 7*n**2 + 8*n - 48.
(n - 2)*(n + 4)*(n + 12)/2
Find o such that -o**3/6 + 637*o**2/3 + 2551*o/6 + 638/3 = 0.
-1, 1276
Factor -b**4 + 6*b**3 + 7*b**2.
-b**2*(b - 7)*(b + 1)
Factor 2*r**3 + 2*r**2/5 - 8*r - 8/5.
2*(r - 2)*(r + 2)*(5*r + 1)/5
Factor 5*p**2 + 80*p.
5*p*(p + 16)
Solve -2*f**3/3 - 298*f**2 - 44402*f - 6615898/3 = 0.
-149
Factor -6*z**2/5 + 2042*z/15 - 904/15.
-2*(z - 113)*(9*z - 4)/15
Determine s, given that 2*s**4/5 - 2*s**3/3 - 152*s**2/15 - 8*s/3 + 32/5 = 0.
-4, -1, 2/3, 6
Determine u, given that -4*u**2 + 72*u - 68 = 0.
1, 17
Find k such that -k**4 - 7*k**3 - 12*k**2 = 0.
-4, -3, 0
Determine i so that -4*i**2 + 8*i + 672 = 0.
-12, 14
Let 20*x**5 + 92*x**4 + 100*x**3 + 4*x**2 - 24*x = 0. What is x?
-3, -1, 0, 2/5
Let 3*l**3/5 + 87*l**2/5 + 78*l/5 - 168/5 = 0. What is l?
-28, -2, 1
Factor -3*u**2/2 + 143*u - 95/2.
-(u - 95)*(3*u - 1)/2
Factor 171*z**2 + 831*z - 120.
3*(z + 5)*(57*z - 8)
Suppose 2*s**4/11 - 60*s**3/11 + 504*s**2/11 - 784*s/11 = 0. What is s?
0, 2, 14
Let i**3 - 43*i**2 = 0. What is i?
0, 43
Factor m**2 - 12*m.
m*(m - 12)
Factor -6*p**3 - 63*p**2 + 645*p - 306.
-3*(p - 6)*(p + 17)*(2*p - 1)
Factor -4*d**2 + 692*d.
-4*d*(d - 173)
Solve -3*p**3 + 3*p**2 + 12*p - 12 = 0.
-2, 1, 2
Let -165*q**4 - 1675*q**3 - 3705*q**2 - 425*q + 210 = 0. Calculate q.
-7, -3, -1/3, 2/11
Factor h**3 + 2*h**2 - 4*h - 8.
(h - 2)*(h + 2)**2
Factor -4*m**2 - 1284*m.
-4*m*(m + 321)
Let 675*h**3 - 795*h**2/2 + 94*h/3 - 2/3 = 0. Calculate h.
2/45, 1/2
Factor -m**2 - 4*m + 12.
-(m - 2)*(m + 6)
Factor -w**4 - 54*w**3 - 581*w**2 - 2004*w - 1476.
-(w + 1)*(w + 6)**2*(w + 41)
Factor a**3/2 - 15*a**2/4.
a**2*(2*a - 15)/4
Suppose 968*k**5 + 1386*k**4 - 1466*k**3 - 782*k**2 - 102*k - 4 = 0. Calculate k.
-2, -1/4, -1/11, 1
Factor -4*i**3/7 + 76*i**2/7 - 240*i/7.
-4*i*(i - 15)*(i - 4)/7
Find t, given that -5*t**5 + 300*t**4 - 5710*t**3 + 29980*t**2 + 78315*t + 42320 = 0.
-1, 16, 23
Solve 21125*z**2 + 3900*z + 180 = 0.
-6/65
What is p in -3*p**4/7 + 132*p**3/7 - 921*p**2/7 + 2088*p/7 - 1296/7 = 0?
1, 3, 4, 36
Suppose -7*j**2 + 11*j - 4 = 0. What is j?
4/7, 1
Let r**4/7 - r**3/7 = 0. Calculate r.
0, 1
Factor -4*s**2/5 - 172*s + 864/5.
-4*(s - 1)*(s + 216)/5
Factor 2*o**2 - 556*o + 38642.
2*(o - 139)**2
Factor 5*y**2 - 195*y.
5*y*(y - 39)
Factor 5*t**3 + 33875*t**2 + 57392715*t + 57358845.
5*(t + 1)*(t + 3387)**2
Factor -5*g**4/3 - 25*g**3/3.
-5*g**3*(g + 5)/3
Factor 3*r**2/8 - 69*r/8 + 45/2.
3*(r - 20)*(r - 3)/8
Factor -d**2/10 - 5*d.
-d*(d + 50)/10
Factor 165*f**4 - 13025*f**3 - 790*f**2.
5*f**2*(f - 79)*(33*f + 2)
Suppose 2*x**2/17 + 1000*x/17 + 125000/17 = 0. What is x?
-250
Factor -k**2/5 - 4*k/5 + 21/5.
-(k - 3)*(k + 7)/5
Determine a so that a**2 - 386*a + 37249 = 0.
193
Factor c**5/2 - 15*c**4 + 219*c**3/2 - 337*c**2 + 474*c - 252.
(c - 21)*(c - 3)*(c - 2)**3/2
Factor 2*f**2 + 28*f + 48.
2*(f + 2)*(f + 12)
Let 3*t**2/4 + 159*t/4 - 81/2 = 0. Calculate t.
-54, 1
Suppose 5*w**2 + 405*w = 0. Calculate w.
-81, 0
What is z in 5*z**4 - 35*z**2 - 30*z = 0?
-2, -1, 0, 3
Determine n so that -n**4/8 - 57*n**3/4 + n**2/8 + 57*n/4 = 0.
-114, -1, 0, 1
Factor 2*g**3/3 - 10*g**2/3 + 4*g/3 + 16/3.
2*(g - 4)*(g - 2)*(g + 1)/3
Factor -5*y**4 - 10*y**3 + 15*y**2 + 20*y - 20.
-5*(y - 1)**2*(y + 2)**2
Determine b so that -43*b**4/3 + 15*b**3 + 41*b**2/3 - 15*b + 2/3 = 0.
-1, 2/43, 1
Factor -3*g**2 - 9*g + 84.
-3*(g - 4)*(g + 7)
Determine z, given that 2*z**4/3 - 238*z**3/3 + 6710*z**2/3 + 7442*z = 0.
-3, 0, 61
Suppose f**2 + 1824*f + 831744 = 0. Calculate f.
-912
Find y such that 2*y**3 + 98*y**2 + 182*y - 282 = 0.
-47, -3, 1
Factor -4*c**3/5 - 164*c**2/5 - 1408*c/5 + 5808/5.
-4*(c - 3)*(c + 22)**2/5
Suppose 4*h**4 - 8*h**3 - 52*h**2 - 40*h = 0. Calculate h.
-2, -1, 0, 5
Find l such that -l**2/3 - 152*l/3 - 1015/3 = 0.
-145, -7
Factor -4*z**4 - 8*z**3 + 12*z**2.
-4*z**2*(z - 1)*(z + 3)
Solve y**2/5 + 2*y/5 - 3 = 0 for y.
-5, 3
Let f**4 + 23*f**3 + 377*f**2/4 + 155*f/2 + 18 = 0. Calculate f.
-18, -4, -1/2
Let -3*l**4 - 33*l**3/7 - 3*l**2/7 + 9*l/7 = 0. What is l?
-1, 0, 3/7
Factor 14*k**5 + 36*k**4 + 30*k**3 + 8*k**2.
2*k**2*(k + 1)**2*(7*k + 4)
Factor 7*d**5 + 885*d**4 - 3552*d**3/7 + 508*d**2/7.
d**2*(d + 127)*(7*d - 2)**2/7
Suppose 5*s**3 - 45*s**2 + 75*s - 35 = 0. What is s?
1, 7
Factor -5*o**2 + 700*o + 705.
-5*(o - 141)*(o + 1)
Factor 2*v**3/15 + 568*v**2/15.
2*v**2*(v + 284)/15
Find g, given that 36*g**2/11 + 246*g + 450/11 = 0.
-75, -1/6
Factor -u**3 + 256*u**2 - 16384*u.
-u*(u - 128)**2
Factor -5*y**3/2 - 177*y**2/4 - 189*y + 243/4.
-(y + 9)**2*(10*y - 3)/4
Determine u, given that 100*u**5 - 340*u**4 - 335*u**3 + 320*u**2 + 235*u + 20 = 0.
-1, -1/2, -1/10, 1, 4
Determine p, given that 3844*p**4 - 8680*p**3 + 2048*p**2 - 128*p = 0.
0, 4/31, 2
Factor 3*t**3/4 + 51*t**2/4 + 123*t/2 + 90.
3*(t + 3)*(t + 4)*(t + 10)/4
Factor -f**4/3 + 23*f**3/3 - 20*f**2/3 - 44*f/3.
-f*(f - 22)*(f - 2)*(f + 1)/3
Find d, given that d**2/3 - 72*d + 3888 = 0.
108
Let 2*s**5 - 24*s**4 + 18*s**3 + 540*s**2 - 648*s - 3888 = 0. What is s?
-3, 6
Factor -10*b**3 + 95*b**2 + 655*b - 350.
-5*(b - 14)*(b + 5)*(2*b - 1)
Find h such that 2*h**3 - 60*h**2 + 166*h - 108 = 0.
1, 2, 27
Solve -4*x**2 + 8136*x = 0.
0, 2034
Determine p so that p**4/5 - 196*p**3/5 + 13056*p**2/5 - 311296*p/5 + 1048576/5 = 0.
4, 64
Let 2*v**2/11 + 10*v/11 = 0. What is v?
-5, 0
Let -2*a**4/5 + 72*a**3/5 + 856*a**2/5 + 576*a + 2944/5 = 0. Calculate a.
-4, -2, 46
Factor -3*i**5/5 - 6*i**4/5 + 9*i**3.
-3*i**3*(i - 3)*(i + 5)/5
Factor 3*h**3 + 36*h**2 + 81*h - 120.
3*(h - 1)*(h + 5)*(h + 8)
Suppose 14*y**2/3 - 44*y/3 + 2 = 0. What is y?
1/7, 3
Factor -8*z**3 - 1378*z**2 - 5720*z - 1344.
-2*(z + 4)*(z + 168)*(4*z + 1)
Factor -o**4 + 6*o**3 + 7*o**2.
-o**2*(o - 7)*(o + 1)
Factor -3*r**3/5 + 126*r**2/5 - 48*r.
-3*r*(r - 40)*(r - 2)/5
Let -2*v**2/9 + 1480*v/3 - 273800 = 0. Calculate v.
1110
Find z such that 399*z**3/8 - 2601*z**2/4 + 189*z/8 + 39/4 = 0.
-2/19, 1/7, 13
Factor 2*g**3/11 + 692*g**2/11 - 4208*g/11 + 512.
2*(g - 4)*(g - 2)*(g + 352)/11
Solve 20*r**3 - 281*r**2 + 674*r - 33 = 0.
1/20, 3, 11
Factor -2*h**3/9 - 34*h**2/9 - 50*h/3 - 22.
-2*(h + 3)**2*(h + 11)/9
Factor k**5/6 - k**4/3 - 2*k**3/3 + k**2/3 + k/2.
k*(k - 3)*(k - 1)*(k + 1)**2/6
Find r, given that 4*r**5 - 108*r**4 + 756*r**3 - 2052*r**2 + 1944*r = 0.
0, 3, 18
Factor -2*i**3/3 - 106*i**2/3 - 104*i/3.
-2*i*(i + 1)*(i + 52)/3
Let 36*c**5 - 512*c**4 + 1984*c**3 - 2792*c**2 + 1500*c - 216 = 0.