b**3/5 - 1842*b**2/5 + 2044*b/5 - 528/5 = 0.
-22, -12, 1/2
Factor 45*m**2 + 20*m - 25.
5*(m + 1)*(9*m - 5)
Let -3*g**5 - 3*g**4 + 15*g**3 + 3*g**2 - 24*g + 12 = 0. What is g?
-2, 1
Suppose 2*w**4/3 + 16*w**3/3 - 38*w**2/3 + 20*w/3 = 0. What is w?
-10, 0, 1
Factor -5*u**2 + 2370*u - 280845.
-5*(u - 237)**2
Factor -2*m**4/5 - 8*m**3/5 - 12*m**2/5 - 8*m/5 - 2/5.
-2*(m + 1)**4/5
Factor 5*c**4 - 15*c**3 - 90*c**2.
5*c**2*(c - 6)*(c + 3)
Factor 4*b**2 + 1104*b.
4*b*(b + 276)
Find g such that 2*g**5/7 + 2*g**4 - 80*g**3/7 + 88*g**2/7 = 0.
-11, 0, 2
Determine c, given that 2*c**4/9 + 2*c**3/9 - 8*c**2/9 - 8*c/9 = 0.
-2, -1, 0, 2
Factor -2*w**2/9 - 26*w/9.
-2*w*(w + 13)/9
Factor 3*i**4 - 209*i**3 + 3810*i**2 - 5916*i + 2312.
(i - 34)**2*(i - 1)*(3*i - 2)
Determine q so that -5*q**5 - 55*q**4 + 10*q**3 + 110*q**2 - 5*q - 55 = 0.
-11, -1, 1
Find s, given that s**2 - 91*s - 282 = 0.
-3, 94
Solve -12*q**2 + 116*q - 72 = 0.
2/3, 9
Factor -5*j**4 + 45*j**2 - 20*j - 60.
-5*(j - 2)**2*(j + 1)*(j + 3)
Factor -5*h**2 - 735*h.
-5*h*(h + 147)
Determine v so that -v**2/2 + 1358*v + 2718 = 0.
-2, 2718
Determine v so that -9*v**2 - 3615*v + 1206 = 0.
-402, 1/3
Suppose -2*m**3/19 + 100*m**2/19 - 122*m/19 - 3360/19 = 0. What is m?
-5, 7, 48
Factor -4*i**2/9 - 32*i/3 + 208/9.
-4*(i - 2)*(i + 26)/9
Determine m so that 18*m**2 + 1250*m + 1232 = 0.
-616/9, -1
Factor -f**5 - 788*f**4 - 207505*f**3 - 18397378*f**2 - 36175388*f - 17984728.
-(f + 1)**2*(f + 262)**3
Suppose -2*n**3 - 20*n**2 + 86*n + 104 = 0. What is n?
-13, -1, 4
Determine a, given that -a**4 + 5*a**3 - 7*a**2 + 3*a = 0.
0, 1, 3
Factor -i**3/3 - 130*i**2/3 - 752*i/3 - 992/3.
-(i + 2)*(i + 4)*(i + 124)/3
Let -2*c**2/7 + 174*c/7 + 176/7 = 0. Calculate c.
-1, 88
Suppose 10*k**2 + 295*k + 795 = 0. What is k?
-53/2, -3
Solve g**3 + 31*g**2 + 158*g + 200 = 0.
-25, -4, -2
Factor m**3 + 10*m**2 - 200*m.
m*(m - 10)*(m + 20)
Factor 3*t**5 + 39*t**4/5 - 18*t**3/5.
3*t**3*(t + 3)*(5*t - 2)/5
Let 2*r**5/3 - 2*r**4/9 - 184*r**3/9 - 64*r**2 - 640*r/9 - 224/9 = 0. Calculate r.
-2, -2/3, 7
Factor 5*b**3 + 1495*b**2 + 111000*b - 112500.
5*(b - 1)*(b + 150)**2
Factor 4*u**2 - 196*u - 1568.
4*(u - 56)*(u + 7)
What is n in 4*n**4/5 - 16*n**3/5 - 204*n**2/5 + 216*n/5 = 0?
-6, 0, 1, 9
What is j in -j**3 - 1408*j**2 - 494205*j + 994050 = 0?
-705, 2
Find x, given that -3*x**5 - 186*x**4 - 1047*x**3 - 2220*x**2 - 2028*x - 672 = 0.
-56, -2, -1
Factor 27*h**5/2 + 1854*h**4 + 63033*h**3 - 42642*h**2 + 14283*h/2.
3*h*(h + 69)**2*(3*h - 1)**2/2
Let j**5 + 7*j**4 - 10*j**3 - 70*j**2 + 9*j + 63 = 0. Calculate j.
-7, -3, -1, 1, 3
Factor 5*o**3 + 20*o**2 - 25*o.
5*o*(o - 1)*(o + 5)
Suppose -12*x**4 - 513*x**3 + 177*x**2 + 2052*x - 516 = 0. Calculate x.
-43, -2, 1/4, 2
Factor -76*p**2/7 + 8*p/7.
-4*p*(19*p - 2)/7
Factor -32*z**3 + 12*z**2 + 20*z.
-4*z*(z - 1)*(8*z + 5)
Factor 3*y**2/4 + 27*y/4 - 15/2.
3*(y - 1)*(y + 10)/4
Suppose -2*o**3 - 327*o**2 + 833*o + 498 = 0. Calculate o.
-166, -1/2, 3
Let -55*l**2 - 245*l - 100 = 0. Calculate l.
-4, -5/11
Suppose 4*o**2 + 7964*o + 15912 = 0. What is o?
-1989, -2
Factor -54*r**2 - 51*r.
-3*r*(18*r + 17)
Factor -2*s**3/7 - 36*s**2/7 - 30*s - 56.
-2*(s + 4)*(s + 7)**2/7
Factor w**3/4 + 3*w**2/2 - w/4 - 3/2.
(w - 1)*(w + 1)*(w + 6)/4
Determine b so that -2*b**5/3 - 2*b**4/3 + 4*b**3/3 + 4*b**2/3 - 2*b/3 - 2/3 = 0.
-1, 1
Solve 16*c**4 - 940*c**3 + 12628*c**2 + 17040*c + 3456 = 0 for c.
-1, -1/4, 24, 36
Factor -3*u**3/2 + 9*u**2 + 147*u/2 + 99.
-3*(u - 11)*(u + 2)*(u + 3)/2
Factor 2*d**3 + 92*d**2 - 2*d - 92.
2*(d - 1)*(d + 1)*(d + 46)
Factor -3*l**4 - 3*l**3 + 30*l**2 - 24*l.
-3*l*(l - 2)*(l - 1)*(l + 4)
Suppose 5*z**4 + 20*z**3 - 5*z**2 - 20*z = 0. What is z?
-4, -1, 0, 1
What is h in -2*h**2/9 - 86*h/9 - 164/9 = 0?
-41, -2
Factor -4*k**2/7 - 44*k - 600/7.
-4*(k + 2)*(k + 75)/7
Factor -2*m**2 + 10704*m.
-2*m*(m - 5352)
Factor 4*j**5 + 24*j**4 - 76*j**3 - 96*j**2.
4*j**2*(j - 3)*(j + 1)*(j + 8)
Factor 4*s**3 + 40*s**2 - 228*s - 936.
4*(s - 6)*(s + 3)*(s + 13)
Factor b**2 - 57*b.
b*(b - 57)
Suppose 21*c**4/5 - 162*c**3/5 - 2253*c**2/5 - 126*c = 0. What is c?
-7, -2/7, 0, 15
Let 5*w**5 + 55*w**4 + 45*w**3 - 55*w**2 - 50*w = 0. What is w?
-10, -1, 0, 1
Solve 2*p**5/7 - 6*p**4/7 - 2*p**3/7 + 6*p**2/7 = 0 for p.
-1, 0, 1, 3
Factor 3*m**2 + 18*m + 24.
3*(m + 2)*(m + 4)
Let -2*x**4 - 176*x**3 - 2622*x**2 + 57800*x - 55000 = 0. What is x?
-50, 1, 11
Factor c**2/3 - 40*c + 1200.
(c - 60)**2/3
Let -y**2/2 + 2233*y - 4986289/2 = 0. Calculate y.
2233
Find k, given that -374*k**3 - 8598*k**2 - 8136*k + 88 = 0.
-22, -1, 2/187
Determine a so that a**3/3 + 1067*a**2 + 1138489*a + 1214767763/3 = 0.
-1067
Let -l**5 - 169*l**4 - 7222*l**3 - 6720*l**2 + 14112*l = 0. What is l?
-84, -2, 0, 1
Factor r**2/2 - 865*r/2 + 432.
(r - 864)*(r - 1)/2
Solve -p**2/4 - 993*p/2 - 1985/4 = 0 for p.
-1985, -1
Let 5*r**3 + 3555*r**2 - 14280*r + 14300 = 0. Calculate r.
-715, 2
Factor -2*v**4 + 14*v**3 - 8*v**2 - 24*v.
-2*v*(v - 6)*(v - 2)*(v + 1)
Factor 2*c**4 + 42*c**3 - 408*c**2 - 448*c.
2*c*(c - 8)*(c + 1)*(c + 28)
Let m**5/2 + m**4/2 - 3*m**3/2 - m**2/2 + m = 0. Calculate m.
-2, -1, 0, 1
Suppose s**5 - 50*s**4 - 217*s**3 + 50*s**2 + 216*s = 0. What is s?
-4, -1, 0, 1, 54
Factor 2*o**2/11 + 628*o/11 + 626/11.
2*(o + 1)*(o + 313)/11
What is b in -b**5/4 - 7*b**4/4 + 55*b**3/4 - 65*b**2/4 - 27*b/2 + 18 = 0?
-12, -1, 1, 2, 3
Suppose -i**5/9 + 4*i**4/9 + 5*i**3/9 = 0. Calculate i.
-1, 0, 5
Determine s, given that s**3/5 + 48*s**2/5 - s/5 - 48/5 = 0.
-48, -1, 1
Factor 4*p**2 + 28904*p + 52215076.
4*(p + 3613)**2
Factor 2*f**3/11 + 258*f**2/11 - 72*f.
2*f*(f - 3)*(f + 132)/11
Factor 2*c**3/5 + 54*c**2/5 + 192*c/5 + 184/5.
2*(c + 2)**2*(c + 23)/5
Find k, given that 2*k**4/5 + 17*k**3/5 + 8*k**2 + 16*k/5 = 0.
-4, -1/2, 0
Factor -i**2 - 71*i + 146.
-(i - 2)*(i + 73)
Solve -l**4 + 8*l**2 - 16 = 0 for l.
-2, 2
Determine h so that 2*h**4/21 + 4*h**3/7 + 8*h**2/21 - 4*h/7 - 10/21 = 0.
-5, -1, 1
What is f in 2*f**5 - 10*f**4 + 6*f**3 + 18*f**2 = 0?
-1, 0, 3
Factor -2*q**2/3 + 248*q/3 + 798.
-2*(q - 133)*(q + 9)/3
Suppose 2*w**5 + 4*w**4 - 6*w**3 - 8*w**2 + 8*w = 0. What is w?
-2, 0, 1
Factor -3*x**4/8 - 3*x**3/4 + 15*x**2/8 + 9*x/4.
-3*x*(x - 2)*(x + 1)*(x + 3)/8
Let -98*a**4/9 - 140*a**3/3 - 352*a**2/9 + 140*a/3 + 50 = 0. What is a?
-15/7, -1, 1
Factor 2*w**2/9 - 8/9.
2*(w - 2)*(w + 2)/9
Factor h**2 - 191*h - 780.
(h - 195)*(h + 4)
Determine r, given that 2*r**4 - 460*r**3 = 0.
0, 230
Factor 2*a**2 + 128*a - 130.
2*(a - 1)*(a + 65)
Factor -5*q**5 - 25*q**4 - 20*q**3.
-5*q**3*(q + 1)*(q + 4)
Factor t**3 - 10*t**2 - 123*t + 432.
(t - 16)*(t - 3)*(t + 9)
Find q such that 87*q**3 - 137*q**2 + 50*q = 0.
0, 50/87, 1
Suppose -z**3/5 + 103*z**2/5 - 399*z - 35739/5 = 0. Calculate z.
-11, 57
Suppose 171*r**4 - 2*r**3 - 513*r**2 - 336*r + 4 = 0. What is r?
-1, 2/171, 2
Factor 2*l**5 - 8*l**4 + 6*l**3 + 8*l**2 - 8*l.
2*l*(l - 2)**2*(l - 1)*(l + 1)
Let n**2/6 - 214*n - 1286/3 = 0. Calculate n.
-2, 1286
Factor -320*b**3/3 + 64*b**2 - 12*b + 2/3.
-2*(4*b - 1)**2*(10*b - 1)/3
Find r such that 9*r**3/5 - 2292*r**2/5 + 1524*r/5 = 0.
0, 2/3, 254
Find t such that -3*t**3 - 87*t**2 + 651*t + 735 = 0.
-35, -1, 7
Factor -3*f**3/8 + 6417*f**2/8 - 3421845*f/8 - 10323369/8.
-3*(f - 1071)**2*(f + 3)/8
Factor -h**4/2 - 13*h**3/2 + 7*h**2.
-h**2*(h - 1)*(h + 14)/2
Find p, given that 9*p**3/8 + 897*p**2/8 - 3065*p/8 + 2575/8 = 0.
-103, 5/3
Solve 3*d**5/2 - 69*d**4 + 858*d**3 - 1452*d**2 = 0 for d.
0, 2, 22
Factor -3*d**4 - 7356*d**3 - 6763842*d**2 - 2764156764*d - 423607024083.
-3*(d + 613)**4
Let -3*l**2/5 - 321*l/5 - 318/5 = 0. Calculate l.
-106, -1
Let -8*a**4/9 + 2*a**3/3 + 130*a**2/9 - 32*a/3 - 32/9 = 0. Calculate a.
-4, -1/4, 1, 4
Determine w, given that 2*w**5 + 13*w**4 + 27*w**3 + 17*w**2 - 5*w - 6 = 0.
-3, -2, -1, 1/2
Factor -2*j**2/5 - 8532*j/5 - 9099378/5.
-2*(j + 2133)**2/5
Find b, given that -130*b**3 - 315*b**2 - 105*b + 10 = 0.
-2, -1/2, 1/13
Factor 5*a**3 + 4115*a**2 - 33160*a + 66480.
5*(a - 4)**2*(a + 831)
Factor -o**5/4 - 97*o**4/4 - 189*o**3/2 - 281*o**2/2 - 373*o/4 - 93/4.
-(o + 1)**4*(o + 93)/4
Solve 60*i**4 + 124*i**3 + 5*i**2/3 - 12*i + 4/3 = 0 for i.
-2, -2/5, 1/6
Factor 5*w**4 + 1470*w**3 + 4375*w**2 + 2910*w.
5*w*(w + 1)*(w + 2)*(w + 291)
Suppose 2*q**2