Solve -9*k**5 + 24*k**4 + 9*k**3 = 0 for k.
-1/3, 0, 3
Determine j, given that -3*j**4 + 33*j**3 - 30*j**2 = 0.
0, 1, 10
Suppose -6*a**5/11 - 12*a**4/11 + 42*a**3/11 - 24*a**2/11 = 0. Calculate a.
-4, 0, 1
Let 12*n**5/5 + 27*n**4 - 1047*n**3/5 + 2082*n**2/5 - 1044*n/5 - 408/5 = 0. Calculate n.
-17, -1/4, 2
Find k such that 2*k**2/11 + 18*k/11 = 0.
-9, 0
Factor 5*r**5 - 15*r**4 - 15*r**3 + 55*r**2 - 30*r.
5*r*(r - 3)*(r - 1)**2*(r + 2)
Determine f so that 5*f**3 - 210*f**2 - 7200*f - 47520 = 0.
-12, 66
Find q, given that q**3/2 - 19*q**2/2 + 99*q/2 - 81/2 = 0.
1, 9
Find q such that 4*q**2 - 132*q - 136 = 0.
-1, 34
Let 5*g**4 + 15*g**3 - 170*g**2 - 540*g - 360 = 0. What is g?
-6, -2, -1, 6
Solve -h**5 + 2*h**4 + 2*h**3 - 4*h**2 - h + 2 = 0 for h.
-1, 1, 2
Factor -g**5 - 21*g**4 + 46*g**3.
-g**3*(g - 2)*(g + 23)
Suppose o**3 + 101*o**2 - 312*o = 0. What is o?
-104, 0, 3
Determine i, given that -i**2 + 39*i - 108 = 0.
3, 36
Suppose 2*t**5/5 + 462*t**4/5 + 1826*t**3/5 + 2274*t**2/5 + 908*t/5 = 0. Calculate t.
-227, -2, -1, 0
Factor -2*c**2/9 + 272*c/9 - 9248/9.
-2*(c - 68)**2/9
Solve -x**3 - 109*x**2 - 2915*x + 3025 = 0.
-55, 1
Determine w so that -3*w**5/8 + 3*w**4 + 15*w**3/4 - 3*w**2 - 27*w/8 = 0.
-1, 0, 1, 9
Solve 2*f**3/7 + 44*f**2/7 + 74*f/7 - 120/7 = 0.
-20, -3, 1
Determine l so that 4*l**4 + 176*l**3 + 1552*l**2 - 8448*l + 9216 = 0.
-24, 2
Factor -2*n**2/3 + 64*n - 1536.
-2*(n - 48)**2/3
Let -5*r**2 + 85*r = 0. Calculate r.
0, 17
Find x, given that 55*x**5 - 375*x**4 - 1005*x**3 - 665*x**2 - 90*x = 0.
-1, -2/11, 0, 9
Factor m**2 - 49*m - 50.
(m - 50)*(m + 1)
Factor 5*n**4 - 4535*n**3 + 1021485*n**2 + 3096275*n + 2070250.
5*(n - 455)**2*(n + 1)*(n + 2)
Let 4*d**5 - 2056*d**4 + 366532*d**3 - 24982448*d**2 + 427216064*d - 2134896896 = 0. What is d?
11, 164
Factor -3*s**2 + 2193*s.
-3*s*(s - 731)
Solve -p**4/4 - 87*p**3/2 - 1890*p**2 + 783*p/2 + 68121/4 = 0.
-87, -3, 3
Factor -3*o**2 + 621*o + 624.
-3*(o - 208)*(o + 1)
Factor 2*b**4/15 + 94*b**3/5 - 116*b**2 + 3512*b/15 - 784/5.
2*(b - 2)**3*(b + 147)/15
Find t, given that 3*t**4/2 - 9*t**3/2 + 9*t**2/2 - 3*t/2 = 0.
0, 1
Let -2*x**2/13 - 160*x/13 - 3200/13 = 0. What is x?
-40
Solve -5*a**3 - 955*a**2 = 0.
-191, 0
Let 45*a**5 - 6675*a**4 + 40790*a**3 - 45540*a**2 + 14200*a = 0. What is a?
0, 2/3, 5, 142
Factor 5*v**2 - 1610*v + 129605.
5*(v - 161)**2
Let -a**2/6 + 349*a/6 = 0. Calculate a.
0, 349
Factor -3*y**2 + 7038*y - 4127787.
-3*(y - 1173)**2
Factor -2*k**2/7 - 20*k/7 + 78/7.
-2*(k - 3)*(k + 13)/7
Find d such that 6*d**4 - 22*d**3 - 80*d**2 - 24*d = 0.
-2, -1/3, 0, 6
Factor 5*b**5/4 - 15*b**4/4 + 15*b**3/4 - 5*b**2/4.
5*b**2*(b - 1)**3/4
Factor -2*i**4 - 32*i**3 + 420*i**2 - 736*i + 350.
-2*(i - 7)*(i - 1)**2*(i + 25)
Find v such that -2*v**2 - 678*v - 2680 = 0.
-335, -4
Let -4*s**2 + 108*s + 1296 = 0. Calculate s.
-9, 36
Factor 2*h**4 - 66*h**3 - 146*h**2 + 210*h.
2*h*(h - 35)*(h - 1)*(h + 3)
Factor -3*b**2 - 51*b + 54.
-3*(b - 1)*(b + 18)
Suppose c**4/10 + c**3 + 37*c**2/10 + 6*c + 18/5 = 0. Calculate c.
-3, -2
Solve -2*d**5/9 + 14*d**4/9 - 28*d**3/9 + 4*d**2/9 + 10*d/3 - 2 = 0.
-1, 1, 3
Solve 2*q**4/5 + 4*q**3/5 - 6*q**2/5 - 16*q/5 - 8/5 = 0 for q.
-2, -1, 2
Let -4*y**4 - 848*y**3 - 67416*y**2 - 2382032*y - 31561924 = 0. Calculate y.
-53
Factor y**3/8 - 39*y**2/2 + 155*y/8.
y*(y - 155)*(y - 1)/8
Find h, given that 4*h**2 + 52*h + 160 = 0.
-8, -5
Suppose -5*i**5 + 45*i**4 - 120*i**3 + 80*i**2 = 0. What is i?
0, 1, 4
Find g, given that -5*g**3/2 - 5*g**2/2 + 425*g/2 - 1375/2 = 0.
-11, 5
Factor a**4 - 4*a**3 + 3*a**2.
a**2*(a - 3)*(a - 1)
Factor 2*r**2/7 + 852*r/7 - 4310/7.
2*(r - 5)*(r + 431)/7
Suppose -5*b**5 - 55*b**4 + 280*b**3 + 2180*b**2 - 10400*b + 8000 = 0. Calculate b.
-10, 1, 4
Factor 3*k**4 + 9*k**3 - 39*k**2 - 45*k.
3*k*(k - 3)*(k + 1)*(k + 5)
Solve -50*q**5 - 340*q**4 - 648*q**3 - 368*q**2 - 64*q = 0 for q.
-4, -2, -2/5, 0
Factor -3*n**2/2 + 3711*n/2 - 3705.
-3*(n - 1235)*(n - 2)/2
What is s in -s**5 - 10*s**4 + 14*s**3 + 28*s**2 - 53*s + 22 = 0?
-11, -2, 1
Factor 5*j**2 + 245*j + 240.
5*(j + 1)*(j + 48)
Suppose -2*z**5/13 - 24*z**4/13 - 68*z**3/13 - 24*z**2/13 + 70*z/13 + 48/13 = 0. Calculate z.
-8, -3, -1, 1
Let -2*g**5/7 + 12*g**4/7 - 4*g**3 + 32*g**2/7 - 18*g/7 + 4/7 = 0. Calculate g.
1, 2
Factor 3*v**2 - 78*v.
3*v*(v - 26)
Suppose 2*y**5 - 20*y**4 - 78*y**3 + 288*y**2 + 864*y = 0. Calculate y.
-3, 0, 4, 12
Solve -5*u**4 - 1215*u**3 - 66675*u**2 + 887095*u = 0.
-127, 0, 11
Factor 3*k**4/2 + 27*k**3/2 + 30*k**2 + 18*k.
3*k*(k + 1)*(k + 2)*(k + 6)/2
Suppose -1681*j**2/6 - 164*j/3 - 8/3 = 0. What is j?
-4/41
Let -5*d**4 - 25*d**3 - 15*d**2 + 45*d = 0. What is d?
-3, 0, 1
Find y such that 1215*y**4 + 54*y**3 + 3*y**2/5 = 0.
-1/45, 0
Suppose 12*f**5 - 88*f**4 + 32*f**3 + 448*f**2 - 320*f - 384 = 0. Calculate f.
-2, -2/3, 2, 6
Factor 4*s**4 - 18*s**3 + 8*s**2.
2*s**2*(s - 4)*(2*s - 1)
Factor 22*b**2 + 68*b + 48.
2*(b + 2)*(11*b + 12)
Factor 15*k**3 + 141*k**2/5 - 18*k/5.
3*k*(k + 2)*(25*k - 3)/5
Factor -686*f**5 + 3528*f**4 - 2814*f**3 - 4300*f**2 - 1416*f - 144.
-2*(f - 3)**2*(7*f + 2)**3
Factor -4*k**4 + 112*k**3 - 108*k**2.
-4*k**2*(k - 27)*(k - 1)
Factor h**3/11 - 6*h**2 + 1152*h/11 - 2048/11.
(h - 32)**2*(h - 2)/11
Find n, given that -4*n**4 - 260*n**3 - 4352*n**2 - 4096*n = 0.
-32, -1, 0
Factor -2*i**2/13 - 2*i/13 + 4/13.
-2*(i - 1)*(i + 2)/13
Let 8*h**4 - 11908*h**3 - 11919*h**2/2 + 5212*h - 1489/2 = 0. What is h?
-1, 1/4, 1489
Determine i, given that 5*i**3 - 5*i**2 - 110*i + 200 = 0.
-5, 2, 4
Find x, given that -2*x**2/3 - 716*x/3 + 718/3 = 0.
-359, 1
Let -v**3/5 + 253*v**2/5 - 502*v/5 = 0. Calculate v.
0, 2, 251
Suppose 8*s**5 - 17*s**4 - 70*s**3 + 153*s**2 - 18*s = 0. What is s?
-3, 0, 1/8, 2, 3
Factor 5*o**2 + 290*o - 295.
5*(o - 1)*(o + 59)
Factor 60*v**2 - 196*v + 48.
4*(v - 3)*(15*v - 4)
Find c such that -2*c**5/13 - 2*c**4/13 + 56*c**3/13 + 152*c**2/13 + 96*c/13 = 0.
-4, -2, -1, 0, 6
Factor -105*n**2 + 2*n.
-n*(105*n - 2)
Factor -95*v**2 - 91*v + 4.
-(v + 1)*(95*v - 4)
Determine o, given that o**2/4 - 34*o = 0.
0, 136
Factor a**2/3 - 2*a - 16/3.
(a - 8)*(a + 2)/3
Determine u, given that 3*u**3 - 21*u**2 - 3*u + 21 = 0.
-1, 1, 7
Find z, given that 2*z**4/17 - 350*z**3/17 + 15482*z**2/17 - 14442*z/17 - 30276/17 = 0.
-1, 2, 87
Factor p**3/3 - 2*p**2/3 - 61*p - 60.
(p - 15)*(p + 1)*(p + 12)/3
Let -9*k**5 - 87*k**4 - 75*k**3 + 375*k**2 + 84*k - 288 = 0. What is k?
-8, -3, -1, 1, 4/3
Determine v so that 2*v**4/7 + 8*v**3/7 - 2*v**2/7 - 32*v/7 - 24/7 = 0.
-3, -2, -1, 2
Suppose 2*h**3/19 - 1042*h**2/19 + 135198*h/19 + 136242/19 = 0. Calculate h.
-1, 261
Factor -m**4/6 + m**3/2 + 7*m**2 + 50*m/3 + 12.
-(m - 9)*(m + 2)**3/6
Factor f**2 + 198*f - 199.
(f - 1)*(f + 199)
Determine u, given that u**5/3 - 4*u**4 + 20*u**3/3 + 110*u**2/3 - 7*u - 98/3 = 0.
-2, -1, 1, 7
Solve -u**5 - 10*u**4 - 16*u**3 + 2*u**2 + 17*u + 8 = 0 for u.
-8, -1, 1
Factor -2*r**3 - 530*r**2 - 1054*r - 526.
-2*(r + 1)**2*(r + 263)
Find b such that -3*b**2 + 666*b = 0.
0, 222
Factor 2*h**3 - 12*h**2 + 64.
2*(h - 4)**2*(h + 2)
Factor -3*g**2/8 - 18*g - 216.
-3*(g + 24)**2/8
Factor 4*u**3/5 - 34*u**2/5 + 2*u + 48/5.
2*(u - 8)*(u + 1)*(2*u - 3)/5
Solve 2*c**2/3 - 164*c/3 + 54 = 0.
1, 81
Solve 3*j**3/4 + 561*j**2/2 - 2253*j/4 + 282 = 0.
-376, 1
Solve 2*h**2 - 2860*h + 1022450 = 0 for h.
715
Determine i, given that -2*i**2/3 - 170*i/3 - 56 = 0.
-84, -1
Determine a so that 25*a**5/7 + 15*a**4/7 - 124*a**3/7 - 76*a**2/7 + 96*a/7 + 64/7 = 0.
-2, -4/5, 1, 2
Factor 4*f**2/3 + 8*f/3 + 4/3.
4*(f + 1)**2/3
Factor 3*a**5 + 9*a**4 + 3*a**3 - 9*a**2 - 6*a.
3*a*(a - 1)*(a + 1)**2*(a + 2)
Suppose t**5 - 17*t**4 - 10*t**3 + 680*t**2 + 1824*t + 1152 = 0. What is t?
-4, -2, -1, 12
Suppose -i**4 - 10*i**3 - 20*i**2 + 10*i + 21 = 0. What is i?
-7, -3, -1, 1
Factor -d**2/9 - 34*d/3 - 101/9.
-(d + 1)*(d + 101)/9
Let -35*a**2 + 4035*a - 1150 = 0. Calculate a.
2/7, 115
Factor 2*w**2 - 88*w + 968.
2*(w - 22)**2
What is m in -m**3/3 - 2*m**2 = 0?
-6, 0
Factor 4*l**4/7 - 36*l**2/7 + 16*l/7 + 48/7.
4*(l - 2)**2*(l + 1)*(l + 3)/7
Factor 3*v**3/5 - 423*v**2/5 - 2646*v/5.
3*v*(v - 147)*(v + 6)/5
Find u such that -2*u**3 - 116*u**2 - 1792*u - 3136 = 0.
-28, -2
Factor 2*s**2/17 - 16*s/17 - 18.
2*(s - 17)*(s + 9)/17
Factor -2*p**4/5 - 108