3 - 65*k**2 + 134*k.
-k*(k - 2)*(k + 67)
Factor -i**5/8 + 9*i**4/8 + 61*i**3/8 + 119*i**2/8 + 12*i + 7/2.
-(i - 14)*(i + 1)**3*(i + 2)/8
Solve s**3/8 - 475*s**2/8 + 236*s - 471/2 = 0 for s.
2, 471
Determine b, given that b**3 + 45*b**2 - 534*b + 880 = 0.
-55, 2, 8
Let m**5/2 - 5*m**4/2 + 7*m**3/2 - 3*m**2/2 = 0. Calculate m.
0, 1, 3
Determine j, given that j**5/4 + 13*j**4/4 + 14*j**3 + 20*j**2 = 0.
-5, -4, 0
Factor 3*n**3 + 21*n**2 - 12*n - 84.
3*(n - 2)*(n + 2)*(n + 7)
Factor -r**5 - 183*r**4 - 12387*r**3 - 374021*r**2 - 4786536*r - 21438288.
-(r + 12)**2*(r + 53)**3
Factor 3*f**3/7 + 12*f**2/7.
3*f**2*(f + 4)/7
Factor 5*i**2/2 - 735*i/2 - 370.
5*(i - 148)*(i + 1)/2
Factor 2*s**2 - 234*s + 684.
2*(s - 114)*(s - 3)
Find h, given that h**5 + 11*h**4 + 39*h**3 + 61*h**2 + 44*h + 12 = 0.
-6, -2, -1
Solve 3*o**4 + 27*o**3 - 189*o**2 + 285*o - 126 = 0 for o.
-14, 1, 3
What is h in -15*h**4/8 + 24*h**3 - 291*h**2/4 + 81*h - 243/8 = 0?
1, 9/5, 9
Let 4*q**5 - 8*q**4 - 36*q**3 + 8*q**2 + 32*q = 0. Calculate q.
-2, -1, 0, 1, 4
Find t, given that -4*t**5 - 24*t**4 + 1636*t**3 + 1656*t**2 = 0.
-23, -1, 0, 18
Factor 12*s**4/7 + 494*s**3/7 + 82*s**2/7.
2*s**2*(s + 41)*(6*s + 1)/7
Let 2*m**5 + 26*m**4 - 34*m**3 - 74*m**2 + 136*m - 56 = 0. What is m?
-14, -2, 1
Factor -3*s**3 + 3195*s**2 - 1134225*s + 134216625.
-3*(s - 355)**3
Suppose -21*y**4 - 339*y**3 - 1017*y**2 + 2835*y - 1458 = 0. What is y?
-9, 6/7, 1
Factor -44*t**2/7 + 38*t/7 + 6/7.
-2*(t - 1)*(22*t + 3)/7
Let g**5/4 + 19*g**4/4 + 31*g**3/2 - 31*g**2 - 42*g = 0. What is g?
-14, -6, -1, 0, 2
Factor -3*y**4 + 12*y**3 + 15*y**2.
-3*y**2*(y - 5)*(y + 1)
Find z, given that -2*z**4 - 28*z**3 - 106*z**2 - 152*z - 72 = 0.
-9, -2, -1
Solve 3*s**3/8 - 105*s**2/8 = 0.
0, 35
Let -x**2/5 - 37*x/5 - 36/5 = 0. What is x?
-36, -1
Factor 3*o**5/2 - 309*o**4/2 + 5325*o**3 - 71547*o**2 + 825699*o/2 - 1729749/2.
3*(o - 41)**2*(o - 7)**3/2
Factor 2*d**2/7 + 116*d - 1632/7.
2*(d - 2)*(d + 408)/7
Factor -2*w**2/3 + 58*w + 176/3.
-2*(w - 88)*(w + 1)/3
Solve -22*u**2 + 116*u/3 + 160/3 = 0.
-10/11, 8/3
Factor -2*h**4 + 4*h**3 + 6*h**2 - 16*h + 8.
-2*(h - 2)*(h - 1)**2*(h + 2)
Factor -2*z**3/3 + 2*z**2/3.
-2*z**2*(z - 1)/3
Factor -w**3/4 + 31*w**2/4 - 56*w - 64.
-(w - 16)**2*(w + 1)/4
Suppose 4*k**2 - 220*k + 2976 = 0. What is k?
24, 31
Suppose 10*p**2 - 842*p/3 + 56/3 = 0. What is p?
1/15, 28
Let 18*c**3 + 471*c**2 - 2712*c - 465 = 0. Calculate c.
-31, -1/6, 5
Factor t**4/3 - 17*t**3/3 + 35*t**2 - 275*t/3 + 250/3.
(t - 5)**3*(t - 2)/3
Let -45*n**4 + 550*n**3 - 75*n**2 - 550*n + 120 = 0. What is n?
-1, 2/9, 1, 12
Factor 5*d**2/2 - 27*d/2 + 5.
(d - 5)*(5*d - 2)/2
Suppose 3*h**5 + 3*h**4 - 27*h**3 - 39*h**2 + 24*h + 36 = 0. Calculate h.
-2, -1, 1, 3
What is b in -2*b**2/13 + 40*b/13 - 200/13 = 0?
10
Determine x, given that -2*x**3/7 + 204*x**2/7 - 402*x/7 + 200/7 = 0.
1, 100
Find v such that -7*v**2 + 16*v + 15 = 0.
-5/7, 3
Factor 2*v**2/7 - 128*v/7 + 2048/7.
2*(v - 32)**2/7
Factor -16*d**3/3 - 40*d**2/3 - 11*d - 3.
-(d + 1)*(4*d + 3)**2/3
Factor 4*x**2 - 64*x + 192.
4*(x - 12)*(x - 4)
Let 2*p**4/3 + 16*p**3/3 + 38*p**2/3 + 8*p = 0. What is p?
-4, -3, -1, 0
Factor -j**4 + 50*j**3 - 189*j**2 + 232*j - 92.
-(j - 46)*(j - 2)*(j - 1)**2
Factor r**3/3 + 3293*r**2/3 + 903105*r - 904203.
(r - 1)*(r + 1647)**2/3
Factor -f**2 - 74*f - 144.
-(f + 2)*(f + 72)
Factor -2*z**3 + 154*z**2 - 448*z + 296.
-2*(z - 74)*(z - 2)*(z - 1)
Determine y so that -2*y**4/13 + 484*y**3/13 = 0.
0, 242
Let -k**4/5 + 3*k**3/5 + k**2 - 3*k/5 - 4/5 = 0. Calculate k.
-1, 1, 4
Find g, given that -g**5/9 - 4*g**4/3 - g**3/3 + 208*g**2/9 - 64*g/3 = 0.
-8, 0, 1, 3
Factor -a**5/4 + a**4 + 11*a**3/4 + 3*a**2/2.
-a**2*(a - 6)*(a + 1)**2/4
Let -5*l**4 + 680*l**3 - 3270*l**2 - 680*l + 3275 = 0. What is l?
-1, 1, 5, 131
Factor -2*a**2/13 + 8/13.
-2*(a - 2)*(a + 2)/13
Determine r, given that 4*r**3 + 196*r**2 = 0.
-49, 0
Factor -3*i**3/5 - 147*i**2/5 + 462*i/5 - 312/5.
-3*(i - 2)*(i - 1)*(i + 52)/5
Solve -3*d**5/4 + 17*d**4/2 + 129*d**3/4 - 59*d**2 - 9*d + 28 = 0 for d.
-4, -2/3, 1, 14
Determine b, given that -40*b**2 - 45*b + 70 = 0.
-2, 7/8
Determine h so that -5*h**2 + 985*h - 15300 = 0.
17, 180
Determine w, given that -2*w**4 - 29*w**3 - 100*w**2 - 100*w = 0.
-10, -5/2, -2, 0
Factor -i**4 - 3*i**3 + 4*i.
-i*(i - 1)*(i + 2)**2
Factor -4*p**3 + 80*p**2.
-4*p**2*(p - 20)
What is i in -2*i**3/15 + 4*i**2/15 + 2*i/5 = 0?
-1, 0, 3
Let -g**3/8 - 183*g**2/8 - 8463*g/8 - 8281/8 = 0. Calculate g.
-91, -1
Factor -j**4/7 + 10*j**3/7 - 17*j**2/7 + 8*j/7.
-j*(j - 8)*(j - 1)**2/7
Determine a, given that 250*a**3/7 + 130*a**2/7 - 16*a + 8/7 = 0.
-1, 2/25, 2/5
Suppose -36*p**5 + 415*p**4 - 1463*p**3 + 1499*p**2 - 265*p - 150 = 0. Calculate p.
-2/9, 3/4, 1, 5
Find r such that 1715*r**3 + 2940*r**2 + 1680*r + 320 = 0.
-4/7
Factor 2*c**2 + 94*c - 3036.
2*(c - 22)*(c + 69)
Factor -5*q**3 + 240*q**2 + 500*q.
-5*q*(q - 50)*(q + 2)
Factor -t**5 - 2*t**4 + 5*t**3 + 6*t**2.
-t**2*(t - 2)*(t + 1)*(t + 3)
Let -4*z**3 + 36*z**2 = 0. Calculate z.
0, 9
Solve -2*i**4/9 - 46*i**3/9 - 14*i**2/3 + 46*i/9 + 44/9 = 0 for i.
-22, -1, 1
Solve -5*d**3 + 195*d**2 + 200*d = 0 for d.
-1, 0, 40
Suppose 2*z**5/7 - 150*z**4/7 + 142*z**3/7 + 446*z**2/7 - 144*z/7 - 296/7 = 0. What is z?
-1, 1, 2, 74
Determine o, given that 2*o**3 - 72*o = 0.
-6, 0, 6
Solve 15*n**2 - 80*n + 25 = 0.
1/3, 5
What is f in f**3/2 + 78*f**2 - 318*f + 320 = 0?
-160, 2
Factor -t**2/6 + 17*t/3 - 32/3.
-(t - 32)*(t - 2)/6
Factor 19*d**2/9 - 22*d/9 + 1/3.
(d - 1)*(19*d - 3)/9
Factor 4*b**4/5 - 21288*b**3/5 + 28302388*b**2/5 + 56668656*b/5 + 28344976/5.
4*(b - 2662)**2*(b + 1)**2/5
Suppose -q**4/5 + q**3/5 + 6*q**2/5 = 0. Calculate q.
-2, 0, 3
Factor b**4/4 + 41*b**3/2 + 1761*b**2/4 + 820*b + 400.
(b + 1)**2*(b + 40)**2/4
Let -j**2/3 + 29*j/3 = 0. Calculate j.
0, 29
Solve -l**3/3 - 5*l**2/2 + 3*l/2 + 4/3 = 0 for l.
-8, -1/2, 1
Factor s**4/3 - 5*s**3 + 12*s**2 + 4*s/3 - 16.
(s - 12)*(s - 2)**2*(s + 1)/3
Solve 8*y**2/7 - 94*y/7 - 24/7 = 0.
-1/4, 12
Factor 5*j**4 - 30*j**3 - 655*j**2 + 1380*j - 700.
5*(j - 14)*(j - 1)**2*(j + 10)
Find j, given that 40*j**2 + 1892*j - 1344 = 0.
-48, 7/10
Find f, given that -3*f**4/4 - 120*f**3 - 9837*f**2/2 - 9480*f - 18723/4 = 0.
-79, -1
Solve 3*o**2 - 42*o + 99 = 0 for o.
3, 11
What is s in -s**5/3 + 17*s**4/3 + 83*s**3/3 - 493*s**2/3 + 674*s/3 - 280/3 = 0?
-7, 1, 2, 20
Factor -5*b**3 - 960*b**2 - 61440*b - 1310720.
-5*(b + 64)**3
Factor 3*x**2 + 78*x + 75.
3*(x + 1)*(x + 25)
Determine l so that 10*l**4 - 23*l**3 + 5*l**2 + 2*l = 0.
-1/5, 0, 1/2, 2
Suppose -250*i**3/3 - 992*i**2/3 - 718*i/3 + 8 = 0. Calculate i.
-3, -1, 4/125
Factor 5*c**3/2 - 10*c**2 + 5*c/2 + 15.
5*(c - 3)*(c - 2)*(c + 1)/2
Find l such that 5*l**3 + 145*l**2 + 270*l = 0.
-27, -2, 0
Factor -2*z**2/9 + 2*z - 28/9.
-2*(z - 7)*(z - 2)/9
Factor m**5/5 + 18*m**4 + 2112*m**3/5 + 3872*m**2/5.
m**2*(m + 2)*(m + 44)**2/5
Let -4*f**3 - 280*f**2 - 1764*f = 0. Calculate f.
-63, -7, 0
Find h, given that -h**2/4 + 159*h/2 - 25281/4 = 0.
159
Solve g**5/4 - g**4/4 - 9*g**3/2 + 7*g**2 + 14*g - 24 = 0 for g.
-4, -2, 2, 3
Suppose 2*v**2 + 14*v = 0. What is v?
-7, 0
Suppose -26*u**4/9 + 4*u**3/9 + 26*u**2/9 - 4*u/9 = 0. Calculate u.
-1, 0, 2/13, 1
Let 3*s**2/2 - 75*s/2 + 69 = 0. What is s?
2, 23
What is a in 7*a**4/5 - 52*a**3/5 + 91*a**2/5 - 6*a = 0?
0, 3/7, 2, 5
Solve -4*d**2 + 520*d - 516 = 0.
1, 129
Factor -12*w**4 + 120*w**3 + 129*w**2 + 33*w.
-3*w*(w - 11)*(2*w + 1)**2
Determine m, given that -15*m**4 + 84*m**3 - 45*m**2 = 0.
0, 3/5, 5
Factor -2*o**2 + 1180*o - 174050.
-2*(o - 295)**2
Factor 2*k**2 + 448*k.
2*k*(k + 224)
Find o such that 2*o**3/3 - 800*o**2/3 + 2386*o/3 - 1588/3 = 0.
1, 2, 397
Find r, given that -10*r**5 - 18*r**4 + 82*r**3 - 38*r**2 - 48*r + 32 = 0.
-4, -4/5, 1
Factor -25*s**4 - 285*s**3 - 711*s**2 - 251*s - 24.
-(s + 3)*(s + 8)*(5*s + 1)**2
Factor -15*p**3 - 170*p**2 + 575*p + 210.
-5*(p - 3)*(p + 14)*(3*p + 1)
Find w such that -4*w**4 + 40*w**3 - 132*w**2 + 144*w = 0.
0, 3, 4
Factor 3*y**4 - 450*y**3 + 1311*y**2 + 1764*y.
3*y*(y - 147)*(y - 4)*(y + 1)
Factor d**2/2 - 31*d - 64.
(d - 64)*(d + 2)/2
Let 4*q**2 + 6*q - 10 = 0. Calculate q.
-5/2, 1
Determine g, given that -4*g**3 - 456*g**2 - 12996*g = 0.
-57, 0
What is l in 12*l**4 + 100*