 -2*r**4/9 + 144*r**2 - 23328.
-2*(r - 18)**2*(r + 18)**2/9
Factor -f**3 + 25*f**2 - 46*f.
-f*(f - 23)*(f - 2)
Suppose 28*c**5 + 184*c**4 - 156*c**3 - 536*c**2 - 224*c = 0. What is c?
-7, -1, -4/7, 0, 2
Factor 82*p**2/13 - 244*p/13 - 6/13.
2*(p - 3)*(41*p + 1)/13
Suppose 35*s**4/4 - 15*s**3/2 - 105*s**2/4 + 5*s + 15 = 0. What is s?
-1, 6/7, 2
Suppose 4*p**2 + 8*p - 12 = 0. Calculate p.
-3, 1
Let -3*a**5/2 - 37*a**4/2 - 153*a**3/2 - 263*a**2/2 - 90*a - 18 = 0. Calculate a.
-6, -3, -2, -1, -1/3
Factor -3*v**2 - 48*v - 117.
-3*(v + 3)*(v + 13)
Determine y so that 3*y**4/4 - 489*y**3/4 + 969*y**2/4 - 483*y/4 = 0.
0, 1, 161
Find a such that -a**2 + 73*a/4 - 9/2 = 0.
1/4, 18
Determine m so that 30*m**3 - 51*m**2 - 21*m + 6 = 0.
-1/2, 1/5, 2
Factor 2*t**3 - 8*t**2 - 30*t + 36.
2*(t - 6)*(t - 1)*(t + 3)
Determine g, given that 4*g**3/3 - 7*g**2/3 - 15*g + 12 = 0.
-3, 3/4, 4
Factor v**5/5 - 37*v**4/5 - 117*v**3/5 - 119*v**2/5 - 8*v.
v*(v - 40)*(v + 1)**3/5
Factor -5*q**2 + 130*q + 775.
-5*(q - 31)*(q + 5)
What is b in -3*b**5/2 - 75*b**4 - 2751*b**3/2 - 11436*b**2 - 43758*b - 62424 = 0?
-17, -6, -4
Factor 8*z**4/7 + 44*z**3 - 156*z**2/7.
4*z**2*(z + 39)*(2*z - 1)/7
Suppose -4*t**2 - 31752*t - 63011844 = 0. Calculate t.
-3969
Factor 14*z**4/11 + 64*z**3/11 + 8*z**2 + 32*z/11.
2*z*(z + 2)**2*(7*z + 4)/11
Find u such that 3*u**4 - 9*u**3 - 75*u**2 - 63*u = 0.
-3, -1, 0, 7
Factor -2*w**4/11 - 12*w**3/11 - 24*w**2/11 - 16*w/11.
-2*w*(w + 2)**3/11
Let 5*i**2 + 295*i + 1100 = 0. What is i?
-55, -4
Find c such that c**2/3 - 4*c + 20/3 = 0.
2, 10
Factor 12*n**3 + 1605*n**2 + 2766*n - 792.
3*(n + 2)*(n + 132)*(4*n - 1)
Factor -4*n**3 - 20*n**2 - 8*n + 32.
-4*(n - 1)*(n + 2)*(n + 4)
Factor 3*s**4 + 3*s**3 - 18*s**2 - 12*s + 24.
3*(s - 2)*(s - 1)*(s + 2)**2
Factor 3*u**2 + 48*u - 171.
3*(u - 3)*(u + 19)
Factor y**4/7 - 11*y**3/7 - 9*y**2 + 27*y/7 + 270/7.
(y - 15)*(y - 2)*(y + 3)**2/7
Determine q so that -q**4/3 - q**3 + q**2 + 7*q/3 - 2 = 0.
-3, -2, 1
Determine n, given that -3*n**5/5 - 12*n**4/5 + 9*n**3/5 + 54*n**2/5 = 0.
-3, 0, 2
Factor -4*v**2 - 1232*v - 1228.
-4*(v + 1)*(v + 307)
Factor v**3/2 - 27*v**2/2.
v**2*(v - 27)/2
Factor -2*b**3/3 - 32*b**2/3 + 38*b/3 + 68/3.
-2*(b - 2)*(b + 1)*(b + 17)/3
Determine o so that 5*o**2 - 290*o + 285 = 0.
1, 57
Let -80*r**3 + 82*r**2 - 20*r = 0. Calculate r.
0, 2/5, 5/8
Factor 4*l**4 - 112*l**3 + 104*l**2 + 112*l - 108.
4*(l - 27)*(l - 1)**2*(l + 1)
Suppose 3*r**3 - 21*r**2 - 324*r - 540 = 0. What is r?
-6, -2, 15
Find j such that -2*j**5 - 13*j**4/2 + 29*j**3/2 + 28*j**2 - 26*j - 8 = 0.
-4, -2, -1/4, 1, 2
Suppose f**4/5 - 77*f**3/5 - f**2/5 + 77*f/5 = 0. Calculate f.
-1, 0, 1, 77
What is r in -2*r**5/5 + 8*r**3 - 12*r**2 - 38*r/5 + 12 = 0?
-5, -1, 1, 2, 3
Factor 4*j**3 - 89*j**2/9 + 4*j - 4/9.
(j - 2)*(4*j - 1)*(9*j - 2)/9
Factor 4*l**2/5 + 20*l - 1776/5.
4*(l - 12)*(l + 37)/5
Determine p so that -6*p**4/5 - 44*p**3/5 - 64*p**2/5 + 64*p/5 = 0.
-4, 0, 2/3
Solve 2*v**2 - 13212*v + 21819618 = 0.
3303
Suppose y**4/3 - y**3/3 - 14*y**2/3 + 8*y = 0. What is y?
-4, 0, 2, 3
Factor -24*s**2 + 52*s + 60.
-4*(s - 3)*(6*s + 5)
Suppose t**3/4 + 231*t**2/4 + 17787*t/4 + 456533/4 = 0. What is t?
-77
Suppose -2*i**3 - i**2 + 3*i = 0. What is i?
-3/2, 0, 1
Factor 5*a**2 + 90*a + 85.
5*(a + 1)*(a + 17)
Factor 3*n**2/2 - 144*n - 294.
3*(n - 98)*(n + 2)/2
Determine n, given that 42*n**3/5 + 3123*n**2/5 + 1107*n/5 - 222/5 = 0.
-74, -1/2, 1/7
Suppose b**5 - 3*b**4 + 2*b**3 + 2*b**2 - 3*b + 1 = 0. What is b?
-1, 1
Find t such that 24*t**4 - 70*t**3 - 6*t**2 + 96*t + 8 = 0.
-1, -1/12, 2
Factor -2*u**2/15 - 1096*u/15 - 1094/15.
-2*(u + 1)*(u + 547)/15
Factor 2*o**4/13 - 154*o**3/13 - 972*o**2/13 - 152*o - 1328/13.
2*(o - 83)*(o + 2)**3/13
Suppose 4*y**2 - 32*y - 260 = 0. Calculate y.
-5, 13
Factor y**2 - 100.
(y - 10)*(y + 10)
Factor 15*w**2/2 + 183*w/2 - 189.
3*(w + 14)*(5*w - 9)/2
Factor 3*a**2 - 15*a.
3*a*(a - 5)
Determine s, given that 9*s**3/5 - 15*s**2 + 24*s/5 = 0.
0, 1/3, 8
What is z in -4*z**5 + 44*z**4 - 4*z**3 - 316*z**2 - 424*z - 160 = 0?
-1, 4, 10
Factor g**2/6 + 2593*g/3 + 6723649/6.
(g + 2593)**2/6
Factor 12*j**4 + 88*j**3 + 188*j**2 + 48*j - 144.
4*(j + 2)*(j + 3)**2*(3*j - 2)
What is s in -5*s**4 - 20*s**3 - 20*s**2 = 0?
-2, 0
Find b, given that 3*b**3 - 102*b**2 + 867*b = 0.
0, 17
Suppose h**2 - 186*h + 185 = 0. Calculate h.
1, 185
Factor 5*o**5/3 + 50*o**4/3 - 55*o**3/3.
5*o**3*(o - 1)*(o + 11)/3
Solve -3*s**2 + 129*s - 126 = 0 for s.
1, 42
Factor -3*h**2/5 - 21*h/5 + 234/5.
-3*(h - 6)*(h + 13)/5
Factor -3*n**2 - 33*n.
-3*n*(n + 11)
Factor -5*c**3/7 + 173*c**2/7 + 10*c.
-c*(c - 35)*(5*c + 2)/7
Suppose -4*d**5 - 68*d**4 - 348*d**3 - 748*d**2 - 704*d - 240 = 0. What is d?
-10, -3, -2, -1
Let 2*y**5 + 34*y**4 + 156*y**3 - 216*y**2 - 3024*y - 5184 = 0. Calculate y.
-6, -3, 4
Factor -3*d**3/2 - 215*d**2/2 + 291*d/2 - 73/2.
-(d - 1)*(d + 73)*(3*d - 1)/2
Solve -2*n**5/3 + 2*n**4/3 + 10*n**3/3 - 2*n**2/3 - 16*n/3 - 8/3 = 0.
-1, 2
Find p such that 3*p**2 + 54*p + 168 = 0.
-14, -4
Determine a so that 2*a**3/5 + 682*a**2/5 + 59808*a/5 + 56448 = 0.
-168, -5
Factor 3*a**4/5 + 159*a**3/5 - 252*a**2.
3*a**2*(a - 7)*(a + 60)/5
Solve 2*x**2/9 + 88*x/9 + 86/9 = 0.
-43, -1
Factor -3*s**2/5 - 2214*s - 2042415.
-3*(s + 1845)**2/5
Factor 27*m**2 - 804*m - 180.
3*(m - 30)*(9*m + 2)
Determine l, given that l**3 - 874*l**2/3 + 63364*l/3 + 42632/3 = 0.
-2/3, 146
Determine p so that 2*p**2 - 2122*p = 0.
0, 1061
Find q such that -4*q**4/3 + 4*q**3 - 4*q**2 + 4*q/3 = 0.
0, 1
Suppose 3*k**5 - 12*k**4 - 87*k**3 - 72*k**2 = 0. Calculate k.
-3, -1, 0, 8
Factor 2*b**3/3 + 3662*b**2/3 + 1674448*b/3 - 1678112/3.
2*(b - 1)*(b + 916)**2/3
Factor 16*p**2/15 + 10*p + 18/5.
2*(p + 9)*(8*p + 3)/15
Solve 2*c**4/13 - 46*c**3/13 + 112*c**2/13 + 160*c/13 = 0 for c.
-1, 0, 4, 20
Solve -y**4/4 - 83*y**3 + 3*y**2/4 + 497*y/2 - 166 = 0 for y.
-332, -2, 1
Let -1156*l**3/3 - 408*l**2 + 640*l - 512/3 = 0. Calculate l.
-2, 8/17
Find a, given that -3*a**2 + 27*a + 30 = 0.
-1, 10
Factor r**4 + 3*r**3 - 6*r**2 - 8*r.
r*(r - 2)*(r + 1)*(r + 4)
Factor 4*s**2 + 6888*s.
4*s*(s + 1722)
Factor 14*b**3/13 + 214*b**2/13 + 60*b/13.
2*b*(b + 15)*(7*b + 2)/13
Solve -n**2/2 + 123*n/2 = 0 for n.
0, 123
Suppose -2*f**2/17 - 176*f/17 - 3872/17 = 0. Calculate f.
-44
Solve -2*z**4 + 94*z**3 - 1386*z**2 + 5954*z + 7436 = 0.
-1, 13, 22
Factor -x**2/3 - 61*x/3 - 20.
-(x + 1)*(x + 60)/3
Suppose -3*p**3 - 87*p**2 - 480*p + 2304 = 0. What is p?
-16, 3
Factor -a**5/6 - 425*a**4/3 - 144500*a**3/3 - 24565000*a**2/3 - 2088025000*a/3 - 70992850000/3.
-(a + 170)**5/6
Factor -5*p**4 - 15*p**3 - 5*p**2 + 15*p + 10.
-5*(p - 1)*(p + 1)**2*(p + 2)
Let 24*q**3/11 + 190*q**2/11 + 324*q/11 - 130/11 = 0. What is q?
-5, -13/4, 1/3
Let 2*c**2 + 6*c + 4 = 0. What is c?
-2, -1
Factor 3*b**2 + 3129*b + 3126.
3*(b + 1)*(b + 1042)
Find k such that 2*k**2/3 + 15608*k/3 + 30451208/3 = 0.
-3902
Determine b, given that 4*b**2/5 + 68*b/5 - 152/5 = 0.
-19, 2
Determine d, given that -2*d**4/15 + 148*d**3/15 - 704*d**2/15 + 324*d/5 - 138/5 = 0.
1, 3, 69
Factor -5*x**3 + 45*x**2 - 90*x.
-5*x*(x - 6)*(x - 3)
Suppose 450*a**2/7 - 1320*a/7 + 968/7 = 0. What is a?
22/15
Suppose h**3 - 86*h**2 - 87*h = 0. Calculate h.
-1, 0, 87
Factor o**5/6 - 65*o**4/3 - 265*o**3/3 - 400*o**2/3 - 535*o/6 - 67/3.
(o - 134)*(o + 1)**4/6
Factor -5*f**2 + 135*f - 250.
-5*(f - 25)*(f - 2)
Determine p, given that -p**5/6 - 16*p**4/3 - 39*p**3/2 - 71*p**2/3 - 28*p/3 = 0.
-28, -2, -1, 0
Let h**4/6 - 353*h**3/6 + 10325*h**2/2 + 10443*h/2 = 0. What is h?
-1, 0, 177
Factor -r**3/4 - 7*r**2/2 - 29*r/4 + 11.
-(r - 1)*(r + 4)*(r + 11)/4
Factor -2*o**3/13 - 368*o**2/13 - 730*o/13 - 28.
-2*(o + 1)**2*(o + 182)/13
Factor -4*c**2 - 3448*c - 743044.
-4*(c + 431)**2
Find w such that 2*w**3/9 - 16*w**2/9 - 38*w/9 - 20/9 = 0.
-1, 10
Let 3*n**2 - 45*n + 108 = 0. Calculate n.
3, 12
Factor -2*j**5/5 - 56*j**4/5 - 442*j**3/5 - 676*j**2/5.
-2*j**2*(j + 2)*(j + 13)**2/5
Factor a**4 + 2*a**3 - 157*a**2 + 154*a.
a*(a - 11)*(a - 1)*(a + 14)
Find d such that d**2/5 + 718*d/5 + 128881/5 = 0.
-359
Factor -a**4/4 + 9*a**3/8 - a**2/2.
-a**2*(a - 4)*(2*a - 1)/8
Find s such that -6*s**2/5 + 126*s/5 - 228/5 = 0.
2, 19
Find f such that 6*f**4/19 + 614*f**3/19 + 11006*f**2/19 + 51194*f/19 - 