r u**5/6 - 11*u**4/6 + 13*u**3/2 - 61*u**2/6 + 22*u/3 - 2.
(u - 6)*(u - 2)*(u - 1)**3/6
Find j, given that 3*j**2/5 - 24*j/5 - 27/5 = 0.
-1, 9
Solve w**5/2 - 9*w**4/2 + 7*w**3/2 + 9*w**2/2 - 4*w = 0.
-1, 0, 1, 8
Factor 5*a**5 + 7*a**4 - 8*a**3 - 4*a**2.
a**2*(a - 1)*(a + 2)*(5*a + 2)
Factor -3*o**3/2 + 15*o**2/2 - 6*o.
-3*o*(o - 4)*(o - 1)/2
Factor 245*s**2 + 1050*s + 1125.
5*(7*s + 15)**2
Factor -2*k**2/17 + 40*k/17.
-2*k*(k - 20)/17
Factor 5*x**2 + 35*x + 50.
5*(x + 2)*(x + 5)
Factor 5*k**2 + 80*k - 180.
5*(k - 2)*(k + 18)
Factor 2*l**3 - 6*l**2 - 8*l + 24.
2*(l - 3)*(l - 2)*(l + 2)
Factor -i**2/2 - 33*i/2 + 215.
-(i - 10)*(i + 43)/2
Suppose 2*k**5 + 42*k**4 + 296*k**3 + 768*k**2 + 512*k = 0. Calculate k.
-8, -4, -1, 0
Let -a**4/6 - a**3/6 + a**2/3 = 0. What is a?
-2, 0, 1
Determine m so that -2*m**2/7 + 2204*m/7 - 607202/7 = 0.
551
Determine l so that -2*l**5/11 + 8*l**4/11 + 2*l**3/11 - 32*l**2/11 + 24*l/11 = 0.
-2, 0, 1, 2, 3
Suppose 2*f**2 + 10*f - 12 = 0. What is f?
-6, 1
Determine y so that -2*y**3/7 + 2*y**2/7 + 4*y/7 = 0.
-1, 0, 2
What is u in 2*u**2/3 + 302*u/3 + 100 = 0?
-150, -1
Solve j**5/4 - 34*j**4 - 35*j**3 + 203*j**2/2 + 683*j/4 + 137/2 = 0 for j.
-1, 2, 137
Factor -w**2/6 - 565*w/6 - 374.
-(w + 4)*(w + 561)/6
Solve 16*t**5/19 - 72*t**4/19 + 60*t**3/19 + 58*t**2/19 - 72*t/19 + 18/19 = 0 for t.
-1, 1/2, 3/2, 3
Factor -r**2/2 + 7*r + 60.
-(r - 20)*(r + 6)/2
Factor -h**2/5 - 47*h/5 - 246/5.
-(h + 6)*(h + 41)/5
Solve -y**3 + 7*y**2 + y - 7 = 0 for y.
-1, 1, 7
Determine d, given that 3*d**2 - 102*d - 105 = 0.
-1, 35
Factor -3*u**3/2 - 21*u**2/4 + 15*u/4 + 3.
-3*(u - 1)*(u + 4)*(2*u + 1)/4
Factor 2*c**3/11 + 8*c**2/11 + 6*c/11.
2*c*(c + 1)*(c + 3)/11
Let 2*c**5/7 - 12*c**4/7 - 18*c**3/7 + 108*c**2/7 = 0. Calculate c.
-3, 0, 3, 6
Solve -3*o**5/4 + 27*o**4/4 - 57*o**3/4 + 9*o**2/4 + 15*o - 9 = 0 for o.
-1, 1, 2, 6
Factor 2*n**3/3 + 70*n**2/3 + 122*n + 174.
2*(n + 3)**2*(n + 29)/3
Solve 2*p**5/9 - 4*p**4/3 + 28*p**3/9 - 32*p**2/9 + 2*p - 4/9 = 0.
1, 2
Solve 2*y**4/9 - 20*y**3/9 + 32*y**2/9 = 0 for y.
0, 2, 8
Factor -2*q**3/7 - 24*q**2/7 - 78*q/7 - 8.
-2*(q + 1)*(q + 4)*(q + 7)/7
What is f in f**5 - 13*f**4 + 23*f**3 - 11*f**2 = 0?
0, 1, 11
Suppose 5*t**4 + 80*t**3 + 465*t**2 + 1150*t + 1000 = 0. What is t?
-5, -4, -2
Find u such that u**3/3 + 11*u**2/3 - 14*u/3 - 8 = 0.
-12, -1, 2
Factor -z**2/3 + 46*z/3 + 47/3.
-(z - 47)*(z + 1)/3
What is x in x**2/4 + 116*x + 13456 = 0?
-232
Suppose 3*o**3 - 3*o**2 - 36*o = 0. What is o?
-3, 0, 4
Factor 9*r**4/5 + 48*r**3/5 + 2*r**2 - 24*r/5 + 1.
(r + 1)*(r + 5)*(3*r - 1)**2/5
Factor 2*o**2/7 + 38*o/7.
2*o*(o + 19)/7
What is i in 5*i**2/3 - 179*i/3 - 12 = 0?
-1/5, 36
Let -5*n**2/4 + 30*n = 0. Calculate n.
0, 24
Suppose -l**5 - l**4 + 39*l**3 - 11*l**2 - 410*l + 600 = 0. Calculate l.
-5, 2, 3, 4
Find j, given that -2*j**4/11 + 98*j**3/11 - 926*j**2/11 - 6858*j/11 - 5832/11 = 0.
-4, -1, 27
Let 9*u**5 + 1443*u**4 + 64830*u**3 + 561450*u**2 + 1445625*u + 421875 = 0. Calculate u.
-75, -5, -1/3
Solve 5*c**3/3 - 337*c**2/3 - 556*c/3 + 92 = 0.
-2, 2/5, 69
Solve -l**5/4 - 1249*l**4/4 - 260207*l**3/2 - 18126992*l**2 - 17738240*l + 35995648 = 0.
-416, -2, 1
Factor z**2/4 - 151*z/4 + 75/2.
(z - 150)*(z - 1)/4
Find j, given that 5*j**3 - 185*j**2 - 5*j + 185 = 0.
-1, 1, 37
Factor -39*r**4 - 630*r**3 - 96*r**2.
-3*r**2*(r + 16)*(13*r + 2)
Factor -5*x**5 - 5*x**4 + 30*x**3.
-5*x**3*(x - 2)*(x + 3)
Determine j, given that -2*j**3/9 + 8*j**2/9 + 64*j/9 = 0.
-4, 0, 8
Determine i, given that -3*i**5/4 + 36*i**4 - 189*i**3 = 0.
0, 6, 42
Factor -w**3/3 + 4*w**2 + w/3 - 4.
-(w - 12)*(w - 1)*(w + 1)/3
Factor -c**2/4 - 57*c/4.
-c*(c + 57)/4
Solve 5*b**2 + 256*b + 51 = 0 for b.
-51, -1/5
What is b in 2*b**2/7 - 2*b/7 - 4/7 = 0?
-1, 2
Solve 75*f**4/7 - 35115*f**3/7 - 9054*f**2 - 33828*f/7 - 5640/7 = 0 for f.
-1, -2/5, 470
Determine c so that c**3/5 - 32*c**2/5 - 103*c/5 - 14 = 0.
-2, -1, 35
Factor -2*o**2/9 - 70*o/9.
-2*o*(o + 35)/9
What is c in c**3/8 + 11*c**2/8 + 19*c/8 + 9/8 = 0?
-9, -1
Suppose -4*i**2 + 2776*i - 2772 = 0. What is i?
1, 693
Factor z**2/3 + 54*z + 2187.
(z + 81)**2/3
Factor b**3/7 - 13*b**2/7 - 989*b/7 + 17457/7.
(b - 23)**2*(b + 33)/7
Factor 2*u**2/19 - 26*u/19 - 28/19.
2*(u - 14)*(u + 1)/19
Let -3*l**3 + 50*l**2/3 - 19*l - 12 = 0. Calculate l.
-4/9, 3
Let y**2 - 10*y + 25 = 0. Calculate y.
5
Factor s**3 - 7*s**2 + 7*s + 15.
(s - 5)*(s - 3)*(s + 1)
Factor 4*s**4 - 4*s**3 - 40*s**2 - 32*s.
4*s*(s - 4)*(s + 1)*(s + 2)
Factor 20*z**3 - 985*z**2 + 2125*z - 470.
5*(z - 47)*(z - 2)*(4*z - 1)
Suppose -u**3 + 2603*u**2 - 1695203*u + 1692601 = 0. What is u?
1, 1301
Determine w so that -4*w**4 + 24*w**3 - 36*w**2 = 0.
0, 3
Factor -3*l**2 - 9606*l - 7689603.
-3*(l + 1601)**2
Solve -2*t**4 + 74*t**3/7 + 64*t**2/7 - 24*t/7 = 0 for t.
-1, 0, 2/7, 6
Suppose -2*j**3/5 - 4956*j**2/5 - 4093656*j/5 - 1127119952/5 = 0. What is j?
-826
Find u, given that -u**5/3 - 10*u**4/3 + 131*u**3/3 - 76*u**2 + 36*u = 0.
-18, 0, 1, 6
Factor a**2 - 19032*a + 90554256.
(a - 9516)**2
Factor -l**2/3 + 109*l - 650/3.
-(l - 325)*(l - 2)/3
What is u in 2*u**5 + 19*u**4/3 + 14*u**3/3 - u**2/3 - 2*u/3 = 0?
-2, -1, -1/2, 0, 1/3
Factor -r**3 - 482*r**2 - 961*r - 480.
-(r + 1)**2*(r + 480)
Factor 2*y**3/15 - 28*y**2/5 - 8*y/15 + 112/5.
2*(y - 42)*(y - 2)*(y + 2)/15
Determine w so that w**5/3 + 11*w**4/3 + 23*w**3/3 - 47*w**2/3 - 8*w + 12 = 0.
-6, -1, 1
Determine a, given that 2*a**4 + 22*a**3 + 72*a**2 + 32*a - 128 = 0.
-4, 1
Factor -3*x**4 + 96*x**3 - 765*x**2 - 96*x + 768.
-3*(x - 16)**2*(x - 1)*(x + 1)
Factor 2*y**5/5 + 22*y**4/5 + 86*y**3/5 + 146*y**2/5 + 112*y/5 + 32/5.
2*(y + 1)**3*(y + 4)**2/5
Factor -3*o**3 - 28*o**2 - 64*o.
-o*(o + 4)*(3*o + 16)
Factor -w**4 - 168*w**3 + 171*w**2 + 338*w.
-w*(w - 2)*(w + 1)*(w + 169)
Solve -2*s**3 - 58*s**2 - 332*s - 528 = 0 for s.
-22, -4, -3
What is b in -590589719*b**4/4 - 1775992683*b**3/4 - 6340323*b**2/2 - 7553*b - 6 = 0?
-3, -2/839
Let 126*z**5 - 218*z**4 + 1028*z**3/9 - 24*z**2 + 16*z/9 = 0. Calculate z.
0, 2/9, 2/7, 1
Let -p**3/2 - 121*p**2 = 0. What is p?
-242, 0
Determine n, given that 2*n**3/17 - 72*n**2/17 + 264*n/17 - 256/17 = 0.
2, 32
Solve -10*m**5 + 24*m**4 + 42*m**3 - 80*m**2 + 24*m = 0 for m.
-2, 0, 2/5, 1, 3
Determine w, given that w**3/7 - 65*w**2/7 + 64*w/7 = 0.
0, 1, 64
Factor -4*r**4 - 64*r**3 - 52*r**2 + 120*r.
-4*r*(r - 1)*(r + 2)*(r + 15)
Solve 2*f**4/11 + 158*f**3/11 + 3840*f**2/11 + 28000*f/11 - 32000/11 = 0.
-40, -20, 1
Factor 4*v**4/5 - 16*v**3 - 100*v**2.
4*v**2*(v - 25)*(v + 5)/5
Factor -4*m**2 - 728*m + 732.
-4*(m - 1)*(m + 183)
Suppose -4980*x**3 - 356*x**2 - 8*x/5 = 0. Calculate x.
-1/15, -2/415, 0
What is b in -25*b**5/6 - 35*b**4 - 101*b**3 - 334*b**2/3 - 67*b/2 - 3 = 0?
-3, -2, -1/5
Factor -4*q**5 - 8*q**4 + 16*q**3 + 32*q**2.
-4*q**2*(q - 2)*(q + 2)**2
Factor 340707*s**2/5 - 16176*s/5 + 192/5.
3*(337*s - 8)**2/5
Determine n, given that 5*n**3 - 1270*n**2 - 5160*n = 0.
-4, 0, 258
Factor -2*f**4/5 + 22*f**3/5 - 14*f**2 + 10*f.
-2*f*(f - 5)**2*(f - 1)/5
Determine r so that 4*r**5 - 17*r**4 - 32*r**3 + 73*r**2 + 64*r - 20 = 0.
-2, -1, 1/4, 2, 5
Suppose -s**5/10 + 5*s**4 - 673*s**3/10 + 120*s**2 - 288*s/5 = 0. What is s?
0, 1, 24
Determine a, given that a**2/2 + 145*a/2 - 222 = 0.
-148, 3
Solve -2*k**4/7 - 2*k**3 + 26*k**2/7 + 86*k/7 + 48/7 = 0.
-8, -1, 3
Solve -5*n**3/2 - 315*n**2 + 640*n = 0.
-128, 0, 2
Factor 2*v**3/17 + 290*v**2/17 + 574*v/17 + 286/17.
2*(v + 1)**2*(v + 143)/17
Find h, given that h**4 - 56*h**3 - 62*h**2 + 288*h - 171 = 0.
-3, 1, 57
Find f, given that -2*f**5/3 - 8*f**4 - 14*f**3/3 + 32*f**2 + 88*f/3 = 0.
-11, -2, -1, 0, 2
Factor 3*z**2/5 - 1977*z/5 + 1974/5.
3*(z - 658)*(z - 1)/5
Solve i**2 - 629*i = 0 for i.
0, 629
Determine l so that 12*l**2 + 2079*l + 519 = 0.
-173, -1/4
Let 5*x**2 - 55*x + 120 = 0. What is x?
3, 8
Factor -a**3 + 174*a**2 - 7209*a - 31684.
-(a - 89)**2*(a + 4)
Factor 8*s**3/9 + 350*s**2/9 + 256*s/9 - 86/9.
2*(s + 1)*(s + 43)*(4*s - 1)/9
Factor 648*m**5 + 333396*m**4 + 42966342*m**3 + 21427635*m**2 + 3568188*m + 198147.
3*(m + 257)**2*(6*m + 1)**3
Factor 4*v**5 - 16*v**4 + 4*v**3 + 24*v**2.
4*v**2*(v - 3)*(v - 2)*(v + 1)
Factor 10*b**4 - 4*b**3 - 16*b**2 + 4*b + 6.
2*(b - 1)**2*(b + 1)*(5*b + 3)
Factor m**2/7 + 1023*m/7 - 1024/