*3 + 230*a**2 - 165*a + 45.
-5*(a - 3)**2*(a - 1)**3
Determine u, given that -6*u**4/17 + 148*u**3/17 - 232*u**2/17 + 44*u/17 + 46/17 = 0.
-1/3, 1, 23
Suppose 2*m**2 - 24*m + 22 = 0. Calculate m.
1, 11
What is f in -f**5 + 2*f**4 + 33*f**3 - 98*f**2 - 32*f + 96 = 0?
-6, -1, 1, 4
Factor a**3/5 - 21*a**2/5 - 9*a - 23/5.
(a - 23)*(a + 1)**2/5
Factor -t**2/3 - 13*t + 40/3.
-(t - 1)*(t + 40)/3
Factor -i**2/2 + 3*i + 7/2.
-(i - 7)*(i + 1)/2
Factor m**4/4 + 11*m**3/2 - m**2/4 - 11*m/2.
m*(m - 1)*(m + 1)*(m + 22)/4
Factor g**3/6 - 5*g**2/2 - 48*g - 162.
(g - 27)*(g + 6)**2/6
Factor -q**2 - 88*q - 1936.
-(q + 44)**2
Let -o**4 + 3*o**3 + 5*o**2 - 3*o - 4 = 0. Calculate o.
-1, 1, 4
Factor -4*s**3 - 108*s**2 - 384*s - 368.
-4*(s + 2)**2*(s + 23)
Suppose l**3/5 - 2*l**2 + 9*l/5 = 0. Calculate l.
0, 1, 9
Find t such that t**5/6 + t**4/6 - t**3/2 - t**2/6 + t/3 = 0.
-2, -1, 0, 1
Factor 4*s**3 - 124*s**2 + 120*s.
4*s*(s - 30)*(s - 1)
Factor -d**2/3 + 82*d/3 - 1681/3.
-(d - 41)**2/3
Factor -4*n**3 + 32*n**2 - 68*n + 40.
-4*(n - 5)*(n - 2)*(n - 1)
Factor n**5/3 + 35*n**4/3 + 323*n**3/3 + 289*n**2/3.
n**2*(n + 1)*(n + 17)**2/3
Factor 4*w**4 - 32*w**3 - 36*w**2.
4*w**2*(w - 9)*(w + 1)
Find r such that -9*r**3 + 321*r**2 - 207*r - 105 = 0.
-1/3, 1, 35
Find p, given that p**2/2 + 528*p - 1058 = 0.
-1058, 2
Factor -2*c**4/13 - 60*c**3/13 - 114*c**2/13 - 56*c/13.
-2*c*(c + 1)**2*(c + 28)/13
Factor -2*x**2 - 2816*x - 991232.
-2*(x + 704)**2
Factor 2*p**2 - 8*p - 24.
2*(p - 6)*(p + 2)
Solve 4*r**5 - 6*r**4 - 4*r**3 + 8*r**2 - 2 = 0.
-1, -1/2, 1
Find m, given that -90*m**4 - 393*m**3 - 126*m**2 + 24*m = 0.
-4, -1/2, 0, 2/15
Let 14*d**4/13 - 150*d**3/13 + 16*d**2 + 72*d/13 = 0. Calculate d.
-2/7, 0, 2, 9
Determine n, given that -2*n**2 - 44*n + 1326 = 0.
-39, 17
Factor 5*c**3/9 + 167*c**2/9 + 22*c/3.
c*(c + 33)*(5*c + 2)/9
Factor -2*v**3 - 284*v**2 + 1160*v - 1168.
-2*(v - 2)**2*(v + 146)
Solve 11*w**5/9 + 64*w**4/9 + 131*w**3/9 + 106*w**2/9 + 20*w/9 - 8/9 = 0.
-2, -1, 2/11
Factor 6*h**3/17 + 1922*h**2/17 + 154240*h/17 + 51200/17.
2*(h + 160)**2*(3*h + 1)/17
Solve -h**4/2 + 7*h**3/2 - 8*h**2 + 6*h = 0 for h.
0, 2, 3
Suppose -2*u**3/5 + 18*u**2/5 - 54*u/5 + 54/5 = 0. Calculate u.
3
Let -5*s**3 + 10*s**2 + 365*s + 350 = 0. Calculate s.
-7, -1, 10
Let -3*r**4/5 + 24*r**3 - 231*r**2/5 + 114*r/5 = 0. What is r?
0, 1, 38
Find r such that r**4/7 - r**3 + 17*r**2/7 - 17*r/7 + 6/7 = 0.
1, 2, 3
Factor g**3 - 17*g**2 + 40*g + 300.
(g - 10)**2*(g + 3)
Factor l**3/7 + 8*l**2 - l/7 - 8.
(l - 1)*(l + 1)*(l + 56)/7
Determine j so that -2*j**2/5 - 46*j/5 - 44/5 = 0.
-22, -1
Find t, given that 5*t**3 + 2195*t**2 = 0.
-439, 0
Factor -3*o**3/5 + 126*o**2/5 - 357*o/5 + 234/5.
-3*(o - 39)*(o - 2)*(o - 1)/5
Suppose 3*g**5 - 28*g**4 + 52*g**3 - 18*g**2 - 23*g + 14 = 0. Calculate g.
-2/3, 1, 7
Suppose -l**2/6 + 17*l/3 - 20 = 0. What is l?
4, 30
Factor -2*c**4 - 4*c**3 + 8*c**2 + 4*c - 6.
-2*(c - 1)**2*(c + 1)*(c + 3)
Suppose -2*r**4/13 + 852*r**3/13 - 91586*r**2/13 + 180624*r/13 - 89888/13 = 0. What is r?
1, 212
Let 5*t**3 + 275*t**2 - 565*t + 285 = 0. What is t?
-57, 1
Factor j**5/4 - j**3/2 + j/4.
j*(j - 1)**2*(j + 1)**2/4
Solve 4*i**4/3 - 12*i**3 + 80*i**2/3 - 16*i = 0 for i.
0, 1, 2, 6
Find n, given that -5*n**2 + 40*n + 100 = 0.
-2, 10
Factor 3*n**4 - 90*n**3 + 627*n**2 - 540*n.
3*n*(n - 20)*(n - 9)*(n - 1)
Suppose 2*z**3 + 6*z**2 + 4*z = 0. Calculate z.
-2, -1, 0
Factor -2*l**3 + 250*l**2 - 7936*l + 7688.
-2*(l - 62)**2*(l - 1)
Let -4*v**3/5 - 88*v**2/5 - 32*v = 0. What is v?
-20, -2, 0
Factor 26*o**2/7 - 3938*o/7 + 1812/7.
2*(o - 151)*(13*o - 6)/7
Determine g so that 3*g**4 + 282*g**3 + 549*g**2 - 282*g - 552 = 0.
-92, -2, -1, 1
Let 3*c**4/5 + 282*c**3 + 33135*c**2 = 0. Calculate c.
-235, 0
Determine p so that 5*p**5/2 + 66*p**4 + 1117*p**3/2 + 1643*p**2 + 1782*p + 484 = 0.
-11, -2, -2/5
Let 12*k**4 - 1900*k**3 + 4280*k**2 + 13760*k - 4992 = 0. What is k?
-2, 1/3, 4, 156
Factor -3*k**3/5 + 18*k**2 - 171*k/5 + 84/5.
-3*(k - 28)*(k - 1)**2/5
Suppose -4*d**2/3 + 80*d/3 - 128 = 0. What is d?
8, 12
What is y in 170*y**5 - 82*y**4 - 420*y**3 - 184*y**2 - 16*y = 0?
-1, -2/5, -2/17, 0, 2
Find v, given that -9*v**3/5 - 18591*v**2/5 - 12391*v/5 - 413 = 0.
-2065, -1/3
Determine k, given that 3*k**3 - 144*k**2 + 1575*k + 3750 = 0.
-2, 25
Find h such that h**5/2 + 137*h**4 + 14495*h**3 + 726700*h**2 + 33229625*h/2 + 124954375 = 0.
-65, -14
Factor 3*k**3 - 3069*k**2 - 6147*k - 3075.
3*(k - 1025)*(k + 1)**2
Suppose 3*k**2/2 - 171*k/2 = 0. What is k?
0, 57
Factor 2*h**3 - 152*h**2 + 150*h.
2*h*(h - 75)*(h - 1)
Factor -2*o**3/9 - 74*o**2/9 - 272*o/9 - 88/3.
-2*(o + 2)**2*(o + 33)/9
Find g, given that 4*g**5 - 4*g**4 - 580*g**3 + 580*g**2 + 576*g - 576 = 0.
-12, -1, 1, 12
Factor 2*b**5 - 22*b**4 + 74*b**3 - 90*b**2 + 36*b.
2*b*(b - 6)*(b - 3)*(b - 1)**2
Suppose 15*p**3 + 620*p**2 + 205*p = 0. What is p?
-41, -1/3, 0
Solve -y**3/11 + 368*y**2/11 + 739*y/11 + 370/11 = 0.
-1, 370
Let -35*h**5 + 235*h**4 + 385*h**3 - 155*h**2 - 350*h - 80 = 0. Calculate h.
-1, -2/7, 1, 8
What is a in -2*a**3/3 + 10*a**2/3 + 28*a/3 = 0?
-2, 0, 7
Let -4*f**5 + 24*f**4 + 64*f**3 + 8*f**2 - 60*f - 32 = 0. What is f?
-1, 1, 8
Suppose -2*z**4/5 - 16*z**3/5 - 46*z**2/5 - 56*z/5 - 24/5 = 0. What is z?
-3, -2, -1
Solve 4*k**5 + 56*k**4 + 196*k**3 + 144*k**2 = 0 for k.
-9, -4, -1, 0
Suppose -4*x**3 + 4*x**2 + 56*x - 96 = 0. Calculate x.
-4, 2, 3
Factor -2*a**3/9 + 22*a**2/9 + 28*a/3.
-2*a*(a - 14)*(a + 3)/9
Factor 2*w**2/9 + 226*w/3 + 444.
2*(w + 6)*(w + 333)/9
Solve 3*u**2 - 27*u - 66 = 0 for u.
-2, 11
Factor o**2 - 58*o + 57.
(o - 57)*(o - 1)
Suppose 3*n**3 + 39*n**2 + 48*n - 576 = 0. What is n?
-8, 3
Find k, given that -5*k**4 - 50*k**3 + 660*k**2 - 1080*k = 0.
-18, 0, 2, 6
Find j, given that j**3 + 156*j**2 + 5925*j - 12482 = 0.
-79, 2
Factor 15*k**3 + 18*k**2 - 24*k.
3*k*(k + 2)*(5*k - 4)
Factor -5*s**2 - 135*s + 290.
-5*(s - 2)*(s + 29)
Suppose -50*m**2/9 - 440*m - 8712 = 0. What is m?
-198/5
Factor s**4 + 12*s**3 + 30*s**2 + 28*s + 9.
(s + 1)**3*(s + 9)
Let -n**5/7 + 2*n**4/7 + 11*n**3/7 - 12*n**2/7 = 0. What is n?
-3, 0, 1, 4
Factor 5*k**2/3 + 35*k - 650/3.
5*(k - 5)*(k + 26)/3
Factor 15*p**3 - 110*p**2 + 255*p - 180.
5*(p - 3)**2*(3*p - 4)
Find y, given that 4*y**3/3 - 28*y**2/3 - 32*y/3 = 0.
-1, 0, 8
Determine a so that 2*a**3/7 - 330*a**2/7 + 14094*a/7 - 39366/7 = 0.
3, 81
Let -3*k**3 - 918*k**2 - 70227*k = 0. Calculate k.
-153, 0
Factor -2*k**3/7 + 4*k**2/7 + 10*k/7 - 12/7.
-2*(k - 3)*(k - 1)*(k + 2)/7
Factor 3*a**3/4 + 6*a**2 + 21*a/4.
3*a*(a + 1)*(a + 7)/4
Solve 4*j**3 - 114*j**2 + 572*j - 720 = 0.
2, 4, 45/2
Suppose 4*u**5 - 48*u**4 + 184*u**3 - 240*u**2 + 100*u = 0. What is u?
0, 1, 5
What is r in -r**2/7 - 29*r = 0?
-203, 0
Factor 22*m**2/5 + 158*m/5 + 28/5.
2*(m + 7)*(11*m + 2)/5
Solve -5*c**4/2 - 69*c**3/2 - 143*c**2 - 150*c + 36 = 0.
-6, -2, 1/5
Factor 2*l**3 - 678*l**2 + 76614*l - 2885794.
2*(l - 113)**3
Suppose t**2/6 - 304*t/3 + 46208/3 = 0. Calculate t.
304
Find w, given that 60*w**5 - 88*w**4 - 220*w**3 + 360*w**2 - 80*w - 32 = 0.
-2, -1/5, 2/3, 1, 2
Factor 154*z**2/9 + 142*z/9 - 4/3.
2*(z + 1)*(77*z - 6)/9
Let -3*x**5/7 - 48*x**4/7 - 183*x**3/7 + 150*x**2/7 + 96*x + 384/7 = 0. Calculate x.
-8, -1, 2
Factor -2*v**3 - 19*v**2 + 263*v + 136.
-(v - 8)*(v + 17)*(2*v + 1)
Suppose 5*m**2 - 190*m = 0. What is m?
0, 38
Find x such that -12*x**2 + 6200*x + 2068 = 0.
-1/3, 517
Suppose 12*h**2 + 20*h - 8 = 0. Calculate h.
-2, 1/3
Factor r**4/3 + 341*r**3/3 - 1724*r**2/3 + 692*r.
r*(r - 3)*(r - 2)*(r + 346)/3
What is c in 5*c**5 - 50*c**4 + 190*c**3 - 340*c**2 + 285*c - 90 = 0?
1, 2, 3
Suppose -4*p**5/5 - 66*p**4/5 + 442*p**3/5 - 892*p**2/5 + 696*p/5 - 176/5 = 0. What is p?
-22, 1/2, 1, 2
Let -9*u**5 + 57*u**4 - 57*u**3 - 21*u**2 + 30*u = 0. Calculate u.
-2/3, 0, 1, 5
Solve -2*r**2/11 - 12*r - 496/11 = 0 for r.
-62, -4
Solve 162*s**4 - 90*s**3 - 64*s**2 - 8*s = 0.
-2/9, 0, 1
Find n, given that -22*n**4 + 334*n**3 - 1710*n**2 + 3050*n - 500 = 0.
2/11, 5
Suppose -2*b**5/13 - 32*b**4/13 - 120*b**3/13 = 0. Calculate b.
-10, -6, 0
Find k such that -3*k**4/4 - 39*k**3/4 + 153*k**2/2 - 165*k + 114 = 0.
-19, 2
Let 4*l**5 + 4*l**4 - 8*l**3 - 8*l**2 + 4*l + 4 = 0. Calculate l.
-1, 1
Factor u**3 - 49*u**2 - 208*u - 212.
(u - 53)*