*r + 122412 = 0.
-202
Factor -c**4/5 + 27*c**2/5 + 54*c/5.
-c*(c - 6)*(c + 3)**2/5
Factor 5*f**5 - 27*f**4 + 30*f**3 - 8*f**2.
f**2*(f - 4)*(f - 1)*(5*f - 2)
Factor -s**5/3 + 16*s**3/3.
-s**3*(s - 4)*(s + 4)/3
Determine h so that 2*h**3/9 - 4*h**2/9 - 2*h/9 + 4/9 = 0.
-1, 1, 2
Factor c**2/11 + 7*c/11.
c*(c + 7)/11
Determine w so that 3*w**4/5 - 108*w**3/5 + 21*w**2 = 0.
0, 1, 35
Factor -3*c**3 - 6*c**2 + 9*c.
-3*c*(c - 1)*(c + 3)
What is z in -2*z**5/5 + 46*z**4/5 - 196*z**3/5 + 296*z**2/5 - 144*z/5 = 0?
0, 1, 2, 18
Factor 5*z**2 - 80*z.
5*z*(z - 16)
Let -2*f**2/3 - 14*f/3 + 16/3 = 0. Calculate f.
-8, 1
Let 4*u**5 + 8*u**4 - 12*u**3 - 32*u**2 - 16*u = 0. What is u?
-2, -1, 0, 2
Factor b**5 + 5*b**4 - 7*b**3 - 5*b**2 + 6*b.
b*(b - 1)**2*(b + 1)*(b + 6)
Factor -68*x**2 + 88*x.
-4*x*(17*x - 22)
Factor -2*j**2/13 - 14*j/13 + 16/13.
-2*(j - 1)*(j + 8)/13
Factor r**4 - 19*r**3/4 - 57*r**2/4 - 41*r/4 - 7/4.
(r - 7)*(r + 1)**2*(4*r + 1)/4
Suppose y**3/2 - 9*y**2 + 65*y/2 = 0. Calculate y.
0, 5, 13
Factor -3*d**3 - 9*d**2/7 + 3*d + 9/7.
-3*(d - 1)*(d + 1)*(7*d + 3)/7
Suppose -21*b**4 + 99*b**3 + 723*b**2 + 765*b + 162 = 0. Calculate b.
-3, -1, -2/7, 9
Factor c**4/3 - 49*c**3/3 - 160*c**2/3 + 208*c/3.
c*(c - 52)*(c - 1)*(c + 4)/3
Let 4*c**5/3 + 43*c**4/3 - 251*c**3/3 - 316*c**2 + 84*c = 0. What is c?
-14, -3, 0, 1/4, 6
Factor 2*q**3 - 58*q**2 - 122*q - 62.
2*(q - 31)*(q + 1)**2
Suppose 28*z**4 - 328*z**3 - 384*z**2 + 328*z + 356 = 0. Calculate z.
-1, 1, 89/7
Factor 5*u**2 - 25*u + 20.
5*(u - 4)*(u - 1)
Factor -10*z**2 - 75*z + 85.
-5*(z - 1)*(2*z + 17)
Find g such that -22*g**3 - 782*g**2 - 6768*g + 3240 = 0.
-18, 5/11
Solve 2*v**4/13 + 4*v**3/13 - 2*v**2 + 20*v/13 = 0 for v.
-5, 0, 1, 2
Let 2*o**3/9 + 2*o**2 - 24 = 0. Calculate o.
-6, 3
Solve 6*k**5/5 - 54*k**4/5 + 78*k**3/5 + 54*k**2/5 - 84*k/5 = 0 for k.
-1, 0, 1, 2, 7
Factor -5*z**4 - 20*z**3 - 5*z**2 + 30*z.
-5*z*(z - 1)*(z + 2)*(z + 3)
Factor -w**3/10 + 37*w**2/10 + 12*w.
-w*(w - 40)*(w + 3)/10
Find w, given that 108*w**2/5 + 1980*w + 45375 = 0.
-275/6
Determine g, given that 600*g**3 - 1980*g**2 + 2178*g - 3993/5 = 0.
11/10
Factor -4*f**2 - 1808*f - 204304.
-4*(f + 226)**2
Find d such that -10*d**4/3 - 104*d**3/3 - 334*d**2/3 - 80*d + 96 = 0.
-4, -3, 3/5
Factor -2*v**2/3 - 38*v/3.
-2*v*(v + 19)/3
Factor -135*u**2 + 30*u - 5/3.
-5*(9*u - 1)**2/3
Find u, given that 2*u**2 + 148*u + 2738 = 0.
-37
Find y, given that 5*y**5 + 5*y**4 - 315*y**3 + 1215*y**2 - 1350*y = 0.
-10, 0, 3
Factor 2450*b**4/13 + 24640*b**3/13 + 62652*b**2/13 + 3520*b/13 + 50/13.
2*(b + 5)**2*(35*b + 1)**2/13
Find l such that -8*l**5 + 20*l**4 + 96*l**3 - 164*l**2 - 136*l + 96 = 0.
-3, -1, 1/2, 2, 4
Factor -5*y**4 - 10*y**3 + 5*y**2 + 10*y.
-5*y*(y - 1)*(y + 1)*(y + 2)
Find b, given that b**2/3 - 4*b - 15 = 0.
-3, 15
Factor -2*n**2/13 - 282*n/13 - 556/13.
-2*(n + 2)*(n + 139)/13
Find n such that -2*n**5 + 6*n**4 + 162*n**3 + 594*n**2 + 648*n = 0.
-3, 0, 12
Factor 2*q**4/5 + 4*q**3/5 - 54*q**2/5 + 104*q/5 - 56/5.
2*(q - 2)**2*(q - 1)*(q + 7)/5
Factor -4*u**4 + 88*u**3 - 636*u**2 + 1512*u.
-4*u*(u - 9)*(u - 7)*(u - 6)
Factor -3*i**2/7 + 12*i/7 + 36/7.
-3*(i - 6)*(i + 2)/7
Factor -2*y**3 - 442*y**2 - 24640*y - 24200.
-2*(y + 1)*(y + 110)**2
Factor 12*q**3/5 - 337*q**2/5 - 64*q + 29/5.
(q - 29)*(q + 1)*(12*q - 1)/5
Factor -p**2/4 + 419*p/2 - 175561/4.
-(p - 419)**2/4
Factor 3*k**3 + 87*k**2 + 462*k.
3*k*(k + 7)*(k + 22)
Factor -m**3 + 81*m**2 - 2187*m + 19683.
-(m - 27)**3
Find w such that -2*w**4 + 102*w**3 - 1248*w**2 - 1352*w = 0.
-1, 0, 26
Find i such that -2*i**2/7 + 50*i/7 = 0.
0, 25
Suppose 380*o**3/3 + 174*o**2 + 46*o - 4/3 = 0. What is o?
-1, -2/5, 1/38
Determine k, given that -328*k**5 + 2136*k**4 - 3962*k**3 + 1524*k**2 - 18*k = 0.
0, 1/82, 1/2, 3
Find w, given that w**3/5 - 52*w**2/5 + 444*w/5 - 1008/5 = 0.
4, 6, 42
Let 2*r**2/7 - 9384*r/7 + 11007432/7 = 0. Calculate r.
2346
Suppose -3*a**4/2 + 213*a**3/2 - 5481*a**2/2 + 59535*a/2 - 111132 = 0. What is a?
8, 21
Factor -4*b**4 + 56*b**3 + 64*b**2 - 56*b - 60.
-4*(b - 15)*(b - 1)*(b + 1)**2
Determine d, given that 2*d**3/7 + 206*d**2/7 + 992*d/7 + 168 = 0.
-98, -3, -2
Solve -3*n**2 + 2193*n = 0.
0, 731
Factor -9*l**2 - 168*l - 108.
-3*(l + 18)*(3*l + 2)
Determine s so that 2*s**3/3 + 116*s**2/3 - 238*s/3 + 40 = 0.
-60, 1
Determine x so that -x**4 - 10*x**3 - 13*x**2 + 60*x - 36 = 0.
-6, 1
Suppose 4*m**5 - 68*m**4 + 160*m**3 + 1200*m**2 = 0. Calculate m.
-3, 0, 10
Suppose -12*n**5 + 224*n**4 + 2164*n**3 + 3384*n**2 - 4096*n - 1664 = 0. What is n?
-4, -1/3, 1, 26
Factor k**5/6 - 5*k**4 + 19*k**3/2 - 14*k**2/3.
k**2*(k - 28)*(k - 1)**2/6
Solve 8*p**4 - 50*p**3/11 - 210*p**2/11 - 80*p/11 - 8/11 = 0.
-1, -1/4, -2/11, 2
Factor o**4/5 + 24*o**3/5 + 63*o**2/5 - 4*o/5 - 84/5.
(o - 1)*(o + 2)**2*(o + 21)/5
Factor -50*b**2/3 + 26860*b/3 - 3607298/3.
-2*(5*b - 1343)**2/3
Factor 3*t**2 + 579*t - 4200.
3*(t - 7)*(t + 200)
Suppose g**3/3 + g**2 - 4/3 = 0. Calculate g.
-2, 1
Factor -q**2/2 - 37*q/2 - 80.
-(q + 5)*(q + 32)/2
What is h in -5*h**2 - 1770*h - 156645 = 0?
-177
Suppose -4*b**2 - 42008*b - 110292004 = 0. What is b?
-5251
Factor 3*j**5/7 + 3*j**4 - 9*j**3/7 - 129*j**2/7 + 186*j/7 - 72/7.
3*(j - 1)**3*(j + 4)*(j + 6)/7
Factor 2*g**3/9 - 92*g**2/9.
2*g**2*(g - 46)/9
Let -2*o**3 - 14*o**2 - 8*o + 24 = 0. What is o?
-6, -2, 1
Factor -4*f**2 - 155*f + 39.
-(f + 39)*(4*f - 1)
Determine q, given that 3*q**5/8 + 243*q**4/8 + 1677*q**3/4 + 7773*q**2/4 + 21987*q/8 + 9555/8 = 0.
-65, -7, -1
Let -32*u**4 - 76*u**3 - 25*u**2 - 2*u = 0. What is u?
-2, -1/4, -1/8, 0
Determine t, given that -t**2 + 72*t = 0.
0, 72
Suppose 9*f**2 + 294*f + 2401 = 0. Calculate f.
-49/3
Factor 4*l**3/5 - l**2/5 - 4*l/5 + 1/5.
(l - 1)*(l + 1)*(4*l - 1)/5
Suppose 2*k**3/7 - 38*k**2/7 + 110*k/7 + 726/7 = 0. What is k?
-3, 11
Solve -4*c**2/5 - 124*c/5 + 128/5 = 0 for c.
-32, 1
Factor i**2/7 + 44*i/7 + 363/7.
(i + 11)*(i + 33)/7
Factor 16*l**3 + 82*l**2 + 10*l.
2*l*(l + 5)*(8*l + 1)
Solve 2*q**4 - 542*q**3/13 + 904*q**2/13 + 152*q/13 = 0.
-2/13, 0, 2, 19
Factor -n**2/7 + 38*n - 2527.
-(n - 133)**2/7
Solve -v**4/4 - 23*v**3/4 - 141*v**2/4 - 77*v/4 + 121/2 = 0.
-11, -2, 1
Suppose -c**3/9 + 13*c**2/9 - 56*c/9 + 80/9 = 0. What is c?
4, 5
Factor c**4/2 - 15*c**3/2 + 75*c**2/2 - 125*c/2.
c*(c - 5)**3/2
Factor -x**3 + 70*x**2 - 1353*x + 4356.
-(x - 33)**2*(x - 4)
Factor 3*v**5/4 - 561*v**4/2 + 2229*v**3/2 - 1668*v**2 + 4443*v/4 - 555/2.
3*(v - 370)*(v - 1)**4/4
Find j, given that -2*j**4/13 - 12*j**3/13 - 10*j**2/13 = 0.
-5, -1, 0
Suppose -14*w**5/11 + 20*w**4/11 + 470*w**3/11 + 580*w**2/11 - 336*w/11 = 0. Calculate w.
-4, -2, 0, 3/7, 7
Suppose -2*y**4/5 - 6*y**3/5 - 2*y**2/5 + 6*y/5 + 4/5 = 0. Calculate y.
-2, -1, 1
Find r such that -2*r**2/3 + 6*r = 0.
0, 9
Solve 5*d**4 + 5*d**3 - 35*d**2 - 5*d + 30 = 0.
-3, -1, 1, 2
Suppose 2*c**3/3 + 10*c**2/3 - 58*c/3 - 70 = 0. What is c?
-7, -3, 5
Let -b**4 - 12*b**3 - 35*b**2 - 24*b = 0. Calculate b.
-8, -3, -1, 0
Let -8*g**4 + 76*g**3 + 140*g**2 - 88*g = 0. What is g?
-2, 0, 1/2, 11
Factor -3*h**2 + 963*h - 3804.
-3*(h - 317)*(h - 4)
Factor 121*m**5/2 - 1045*m**4/2 + 2875*m**3/2 - 2115*m**2/2 - 540*m - 54.
(m - 3)**3*(11*m + 2)**2/2
What is l in 3*l**2/2 - 11*l/2 - 2 = 0?
-1/3, 4
Factor -4*y**3 + 6*y**2 - 2.
-2*(y - 1)**2*(2*y + 1)
Suppose 4*m**2/19 - 10*m/19 + 6/19 = 0. Calculate m.
1, 3/2
Factor o**3/7 - 38*o**2/7 + 63*o - 1620/7.
(o - 20)*(o - 9)**2/7
Let s**2 - 21*s - 46 = 0. Calculate s.
-2, 23
Suppose 5*v**3 - 14135*v**2 + 9996975*v - 9982845 = 0. Calculate v.
1, 1413
Let -5*s**5 + 15*s**4 + 5*s**3 - 35*s**2 + 20 = 0. Calculate s.
-1, 1, 2
What is f in -3*f**5 + 3*f**4 + 54*f**3 - 156*f**2 + 120*f = 0?
-5, 0, 2
Solve -16*r**3 + 216*r**2 - 105*r + 13 = 0 for r.
1/4, 13
Solve 2*z**4/11 + 26*z**3/11 + 78*z**2/11 + 54*z/11 = 0.
-9, -3, -1, 0
Solve 6*d**3/5 - 14*d**2 + 98*d/5 + 174/5 = 0 for d.
-1, 3, 29/3
Suppose -3*y**4 + 33*y**3 + 129*y**2 - 33*y - 126 = 0. What is y?
-3, -1, 1, 14
Factor 5*b**5 + 30*b**4 + 15*b**3 - 50*b**2.
5*b**2*(b - 1)*(b + 2)*(b + 5)
Factor 2*x**4 + 42*x**3 + 144*x**2 + 136*x.
2*x*(x + 2)**2*(x + 17)
Factor -2*q**3/5 + 98*q**2/5 + 104*q/5 - 40.
-2*(q - 50)*(q - 1)*(q + 2)/5
What is d in 16*d**2 + 1396*d + 2728 = 0?
-341/4, -2
Factor 2*m**4/3 + 14*m**3/3 + 