or -4*g**2/3 + 100/3.
-4*(g - 5)*(g + 5)/3
Factor 5*t**4 - 40*t**3 - 5*t**2 + 40*t.
5*t*(t - 8)*(t - 1)*(t + 1)
Solve 18*j**5/5 + 14*j**4/5 - 58*j**3/5 - 78*j**2/5 - 16*j/5 + 8/5 = 0.
-1, 2/9, 2
Suppose 4*b**5 - 12*b**4 - 20*b**3 + 12*b**2 + 16*b = 0. What is b?
-1, 0, 1, 4
What is a in -a**5 - 2*a**4 + a**3 + 2*a**2 = 0?
-2, -1, 0, 1
Let 2*x**3/11 - 8*x**2/11 - 56*x/11 - 64/11 = 0. Calculate x.
-2, 8
Determine q, given that -14*q**2/9 + 230*q/3 - 196/9 = 0.
2/7, 49
Find t such that 2*t**5 - 26*t**4 + 84*t**3 + 140*t**2 - 950*t + 750 = 0.
-3, 1, 5
Factor 2*h**4/3 - 9*h**3 - 47*h**2/3 + 10*h.
h*(h - 15)*(h + 2)*(2*h - 1)/3
Factor 2*n**2 + 16*n - 96.
2*(n - 4)*(n + 12)
Let 2*f**5/19 + 12*f**4/19 + 20*f**3/19 - 22*f/19 - 12/19 = 0. What is f?
-3, -2, -1, 1
Suppose 2*r**3/3 - 674*r**2/3 + 19040*r - 18816 = 0. Calculate r.
1, 168
Factor -15*q**2/2 - 288*q - 114.
-3*(q + 38)*(5*q + 2)/2
Factor 3*k**2 - 348*k.
3*k*(k - 116)
What is c in -3*c**3/2 + 489*c**2/2 - 20169*c/2 + 19683/2 = 0?
1, 81
Suppose 4*v**4/3 + 6*v**3 + 4*v**2/3 - 6*v - 8/3 = 0. What is v?
-4, -1, -1/2, 1
Determine y so that 14*y**5/9 - 18*y**4 + 446*y**3/9 + 214*y**2/3 - 2620*y/9 - 400/3 = 0.
-2, -3/7, 4, 5
Factor -4*w**5 - 44*w**4 - 72*w**3.
-4*w**3*(w + 2)*(w + 9)
Let 6*b**2/5 + 24*b + 306/5 = 0. Calculate b.
-17, -3
What is b in b**5/2 - 159*b**4/2 + 3631*b**3 - 37169*b**2 + 179361*b/2 + 261121/2 = 0?
-1, 7, 73
Suppose -4*n**3 - 4792*n**2 + 9596*n - 4800 = 0. Calculate n.
-1200, 1
Factor 2*m**4/5 + 8*m**3/5 + 6*m**2/5 - 8*m/5 - 8/5.
2*(m - 1)*(m + 1)*(m + 2)**2/5
Let g**3/3 + 38*g**2/3 + 371*g/3 + 598/3 = 0. What is g?
-23, -13, -2
Factor 260*j**2 + 145*j + 20.
5*(4*j + 1)*(13*j + 4)
Factor -s**5/3 + 4*s**4/3 + 26*s**3/3 - 20*s**2 - 75*s.
-s*(s - 5)**2*(s + 3)**2/3
Let 48*g**5 + 2924*g**4 + 45836*g**3 + 39360*g**2 - 3600*g = 0. What is g?
-30, -1, 0, 1/12
Factor -2*q**5 - 50*q**4 - 30*q**3 + 410*q**2 - 520*q + 192.
-2*(q - 1)**3*(q + 4)*(q + 24)
Solve 5*c**2 - 190*c + 1805 = 0 for c.
19
Factor -2*s**4/7 + 1254*s**3/7 - 3744*s**2/7.
-2*s**2*(s - 624)*(s - 3)/7
Factor -7*h**3/2 - 753*h**2/2 - 1306*h - 624.
-(h + 3)*(h + 104)*(7*h + 4)/2
Let -147*c**4 - 777*c**3 - 1305*c**2 - 675*c = 0. What is c?
-15/7, -1, 0
Suppose 2*j**2/23 + 1260*j/23 - 2528/23 = 0. Calculate j.
-632, 2
Solve 4*x**2/5 + 324*x/5 + 64 = 0 for x.
-80, -1
Factor -2*o**2/9 - 206*o/9 + 212/3.
-2*(o - 3)*(o + 106)/9
Solve -2*p**3/7 + 216*p**2/7 + 438*p/7 + 220/7 = 0.
-1, 110
Factor 3*v**5 + 24*v**4 + 60*v**3 + 48*v**2.
3*v**2*(v + 2)**2*(v + 4)
Factor -2*z**2/21 + 8*z/21.
-2*z*(z - 4)/21
Factor w**4/8 + w**3/8.
w**3*(w + 1)/8
Factor 25*d**3 - 555*d**2 - 2146*d - 768.
(d + 3)*(5*d - 128)*(5*d + 2)
Factor 33*i**2 - 135*i - 168.
3*(i + 1)*(11*i - 56)
Factor n**5 + 8*n**4 + 5*n**3 - 14*n**2.
n**2*(n - 1)*(n + 2)*(n + 7)
Let -2*k**4 + 11*k**3 + 3*k**2 - 35*k - 25 = 0. What is k?
-1, 5/2, 5
Factor 4*x**5 - 28*x**4 - 4*x**3 + 28*x**2.
4*x**2*(x - 7)*(x - 1)*(x + 1)
Factor 2*i**5/5 - 88*i**4/5 + 876*i**3/5 + 2024*i**2/5 + 1058*i/5.
2*i*(i - 23)**2*(i + 1)**2/5
Determine p so that -p**4/2 + 9*p**3/2 - 25*p**2/2 + 27*p/2 - 5 = 0.
1, 2, 5
Suppose -44*m**3/5 + 69*m**2/5 - 19*m/5 - 6/5 = 0. Calculate m.
-2/11, 3/4, 1
Factor 2*l**3/5 + 14*l**2/5 + 22*l/5 + 2.
2*(l + 1)**2*(l + 5)/5
Factor h**3 + 2*h**2 - 15*h.
h*(h - 3)*(h + 5)
Factor 2*v**2/3 + 472*v/3 - 952/3.
2*(v - 2)*(v + 238)/3
Determine h, given that -h**4/7 + 3*h**3/7 + 38*h**2/7 + 24*h/7 - 64/7 = 0.
-4, -2, 1, 8
Find p, given that 5*p**2 + 1095*p - 9080 = 0.
-227, 8
Let -4*s**2 - 15032*s - 14122564 = 0. What is s?
-1879
Factor -16*l**4/3 - 328*l**3 - 163*l**2 - 61*l/3.
-l*(l + 61)*(4*l + 1)**2/3
Solve -2*i**4 - i**3/2 + 333*i**2/2 + 1405*i/2 + 1075/2 = 0 for i.
-5, -1, 43/4
Factor 5*r**3/2 + 55*r**2/2 - 5*r/2 - 55/2.
5*(r - 1)*(r + 1)*(r + 11)/2
Solve -h**2 - 2*h + 15 = 0.
-5, 3
Solve -d**4/5 - 48*d**3/5 - 576*d**2/5 = 0.
-24, 0
Solve -q**4 - 6*q**3 + 63*q**2 + 536*q + 1008 = 0.
-7, -4, 9
Solve 21*r**3 - 1464*r**2 + 2436*r + 816 = 0 for r.
-2/7, 2, 68
Suppose r**4 + 25*r**3 - 3*r**2 - 73*r + 50 = 0. What is r?
-25, -2, 1
Find o such that 11*o**5/4 - 37*o**4/4 - 8*o**3 + 4*o**2 = 0.
-1, 0, 4/11, 4
Factor n**4/7 + 2057*n**3/7 + 150969*n**2 - 151263*n.
n*(n - 1)*(n + 1029)**2/7
Let -3*z**3 - 51*z**2 - 240*z - 300 = 0. What is z?
-10, -5, -2
Let -6*q**5/7 + 21*q**4 - 768*q**3/7 + 1212*q**2/7 - 432*q/7 = 0. Calculate q.
0, 1/2, 2, 4, 18
Let 3*y**5/7 - 81*y**4/7 - 285*y**3/7 + 63*y**2 + 282*y/7 - 360/7 = 0. What is y?
-4, -1, 1, 30
Factor -h**4 + 54*h**3 - 664*h**2 - 2016*h + 6272.
-(h - 28)**2*(h - 2)*(h + 4)
Suppose 2*c**4/3 - 16*c**3 - 164*c**2/3 + 16*c + 54 = 0. Calculate c.
-3, -1, 1, 27
Let 3*m**2/2 + 2043*m/2 = 0. What is m?
-681, 0
Let 3*f**2 - 93*f + 90 = 0. Calculate f.
1, 30
Solve 4*k**2 - 12*k + 8 = 0.
1, 2
Suppose -2*r**4 - 16*r**3 - 36*r**2 - 32*r - 10 = 0. Calculate r.
-5, -1
Factor 2*a**3/5 + 24*a**2/5 + 14*a + 48/5.
2*(a + 1)*(a + 3)*(a + 8)/5
Solve -5*d**5 - 5*d**4 + 105*d**3 + 5*d**2 - 100*d = 0.
-5, -1, 0, 1, 4
Determine z, given that -2*z**5/9 - 64*z**4/9 - 38*z**3/3 + 20*z**2 = 0.
-30, -3, 0, 1
Solve -b**4 - 7*b**3 + 45*b**2 + 7*b - 44 = 0 for b.
-11, -1, 1, 4
Determine h so that 7*h**3 - 373*h**2 + 820*h - 204 = 0.
2/7, 2, 51
Factor 2*p**5/7 + 48*p**4/7 + 402*p**3/7 + 1420*p**2/7 + 2232*p/7 + 1296/7.
2*(p + 2)**3*(p + 9)**2/7
Factor -j**2 - 81*j - 1458.
-(j + 27)*(j + 54)
Factor 2*a**3 - 60*a**2 + 162*a.
2*a*(a - 27)*(a - 3)
Factor 3*o**4/7 - 15*o**3/7 - 24*o**2/7 + 36*o/7.
3*o*(o - 6)*(o - 1)*(o + 2)/7
Factor -3*s**3 - 30*s**2 + 96*s + 1152.
-3*(s - 6)*(s + 8)**2
Factor -2*x**2/3 + 62*x - 712/3.
-2*(x - 89)*(x - 4)/3
Let -1125*o**2/4 + 120*o - 3 = 0. Calculate o.
2/75, 2/5
Solve -96*s**4/5 - 7872*s**3/5 + 18*s**2/5 + 1473*s/5 - 246/5 = 0 for s.
-82, -1/2, 1/4
Suppose 4*j**2/7 + 160*j/7 - 164/7 = 0. Calculate j.
-41, 1
Factor -y**4 + 23*y**3 - 43*y**2 + 21*y.
-y*(y - 21)*(y - 1)**2
Factor -2*i**5/9 + 128*i**4/9 - 2642*i**3/9 + 15620*i**2/9 + 39688*i/9 + 21296/9.
-2*(i - 22)**3*(i + 1)**2/9
Suppose -c**5 - 2*c**4 + 3*c**3 = 0. Calculate c.
-3, 0, 1
Factor -2*j**3/5 + 30*j**2 + 164*j/5 - 912/5.
-2*(j - 76)*(j - 2)*(j + 3)/5
Suppose -g**2/2 + 3*g/2 - 1 = 0. Calculate g.
1, 2
Factor -85*w**2 + 14545*w - 1710.
-5*(w - 171)*(17*w - 2)
Determine s, given that -4*s**2 + 576*s - 572 = 0.
1, 143
Factor -b**2/3 + 2*b + 91/3.
-(b - 13)*(b + 7)/3
Solve -5*f**5/2 + 5*f**4/2 + 45*f**3 - 130*f**2 + 100*f = 0 for f.
-5, 0, 2
Suppose 2*a**2/13 + 2202*a/13 - 2204/13 = 0. Calculate a.
-1102, 1
Let -144*b**2 + 255*b + 66 = 0. Calculate b.
-11/48, 2
Factor 5*r**4 - 545*r**3 + 14725*r**2 - 27835*r + 13650.
5*(r - 65)*(r - 42)*(r - 1)**2
Factor -28*o**3 + 76*o**2 + 136*o + 32.
-4*(o - 4)*(o + 1)*(7*o + 2)
Determine b, given that -3*b**5 + 72*b**4 + 363*b**3 - 708*b**2 - 1404*b + 1680 = 0.
-5, -2, 1, 2, 28
Factor -94*v**2 + 10*v.
-2*v*(47*v - 5)
Suppose 3*t**2 + 282*t + 1080 = 0. Calculate t.
-90, -4
Factor w**3/10 + 4*w**2/5 - 9*w/10.
w*(w - 1)*(w + 9)/10
Solve -2*q**3 - 8*q**2 - 10*q - 4 = 0.
-2, -1
Factor -i**5 - i**4 + 22*i**3 - 44*i**2 + 24*i.
-i*(i - 2)**2*(i - 1)*(i + 6)
Solve -162*h**3 - 4284*h**2 - 1880*h - 208 = 0.
-26, -2/9
Solve 3*i**4 - 5*i**3 - 146*i**2/3 + 140*i/3 + 200 = 0.
-3, -2, 10/3
Determine a, given that -2*a**4/5 - 4*a**3/5 + 16*a**2/5 + 36*a/5 + 18/5 = 0.
-3, -1, 3
Factor -f**2 + 15*f - 14.
-(f - 14)*(f - 1)
Solve 4*y**4 + 630*y**3 + 314*y**2 = 0 for y.
-157, -1/2, 0
Factor 12*o**3 - 9*o - 3.
3*(o - 1)*(2*o + 1)**2
Factor 6*z**5/11 - 20*z**4/11 + 24*z**3/11 - 12*z**2/11 + 2*z/11.
2*z*(z - 1)**3*(3*z - 1)/11
Factor n**2/10 - 11*n/5 + 48/5.
(n - 16)*(n - 6)/10
Factor 34*h**4 - 4*h**3 - 34*h**2 + 4*h.
2*h*(h - 1)*(h + 1)*(17*h - 2)
Factor 5*c**4/4 - 19*c**3/4 + 3*c**2.
c**2*(c - 3)*(5*c - 4)/4
Let 7*v**2/3 + 61*v/3 - 6 = 0. Calculate v.
-9, 2/7
Factor -2*u**2/7 - 4*u/7 + 160/7.
-2*(u - 8)*(u + 10)/7
Factor 2*m**4/17 - 52*m**3/17 + 218*m**2/17 + 1560*m/17 + 1800/17.
2*(m - 15)**2*(m + 2)**2/17
Solve j**4/3 + 13*j**3/3 + 32*j**2/3 + 20*j/3 = 0.
-10, -2, -1, 0
Factor u**4/5 - 76*u**2/5 - 48*u/5 + 1152/5.
(u - 8)*(u - 4)*(u + 6)**2/5
Solve -5*l**2 - 245*l + 1350 = 0 for l.
-54, 5
Determine d so that -3*d**5 + 42*d**4 + 144*d**3 - 2442*d**2 - 2541*d = 0.
-7, -1