5
Factor a**3 + 7*a**2 - 21*a - 27.
(a - 3)*(a + 1)*(a + 9)
Factor -4*x**4 - 56*x**3 - 96*x**2 + 1024*x + 2048.
-4*(x - 4)*(x + 2)*(x + 8)**2
Solve 14*j**3 + 340*j**2 - 254*j - 100 = 0.
-25, -2/7, 1
Determine y, given that y**2 + 748*y + 139876 = 0.
-374
Factor 4*w**5 - 60*w**4 + 56*w**3 + 568*w**2 + 708*w + 260.
4*(w - 13)*(w - 5)*(w + 1)**3
Factor 9*l**5 + 174*l**4 - 120*l**3.
3*l**3*(l + 20)*(3*l - 2)
Find k such that k**5 + 7*k**4 + 15*k**3 + 5*k**2 - 16*k - 12 = 0.
-3, -2, -1, 1
Factor -7*f**4 + 5*f**3 + 16*f**2 + 4*f.
-f*(f - 2)*(f + 1)*(7*f + 2)
What is w in -w**2 + 2*w = 0?
0, 2
Suppose -2*j**3 + 28*j**2 + 136*j + 144 = 0. Calculate j.
-2, 18
Suppose -22*m**4/15 + 36*m**3/5 + 128*m**2/5 - 428*m/15 - 14/5 = 0. What is m?
-3, -1/11, 1, 7
Solve -5*c**4 - 125*c**3 - 635*c**2 + 765*c = 0 for c.
-17, -9, 0, 1
Find l, given that -10*l**5 + 36*l**4 - 34*l**3 + 8*l = 0.
-2/5, 0, 1, 2
Factor -2*r**3/7 + 314*r**2/7 + 634*r/7 + 318/7.
-2*(r - 159)*(r + 1)**2/7
Find s such that 2*s**3/7 + 1692*s**2/7 + 477144*s/7 + 44851536/7 = 0.
-282
Let 2*g**2/5 - 34*g = 0. Calculate g.
0, 85
Factor -b**2/2 + 201*b/2 - 297.
-(b - 198)*(b - 3)/2
Solve k**4/2 - 265*k**3/2 + 1817*k**2/2 - 2843*k/2 + 645 = 0.
1, 5, 258
Factor 64*m**4 + 800*m**3 + 3588*m**2 + 6800*m + 4624.
4*(m + 2)**2*(4*m + 17)**2
Find j, given that -3*j**4 - 3*j**3 = 0.
-1, 0
Factor j**3 - 35*j**2 - 382*j - 616.
(j - 44)*(j + 2)*(j + 7)
Factor -3*a**4 - 1590*a**3 - 280368*a**2 - 16353738*a + 16635699.
-3*(a - 1)*(a + 177)**3
Factor 2*y**3/5 + 2124*y**2/5.
2*y**2*(y + 1062)/5
Factor 5*k**2 - 65*k + 60.
5*(k - 12)*(k - 1)
Factor -5547*w**5/7 + 516*w**4/7 - 12*w**3/7.
-3*w**3*(43*w - 2)**2/7
Let -4*j**5/7 + 4*j**4 + 12*j**3 - 988*j**2/7 + 2080*j/7 - 1200/7 = 0. Calculate j.
-6, 1, 2, 5
Solve 3*s**2 + 66*s - 144 = 0 for s.
-24, 2
Suppose 3*u**2/8 - 6*u - 27/2 = 0. Calculate u.
-2, 18
Solve -4*a**5 - 24*a**4 - 4*a**3 + 96*a**2 - 64*a = 0.
-4, 0, 1
Factor -2*z**3 + 160*z**2 - 3914*z + 30324.
-2*(z - 42)*(z - 19)**2
Let 3*j**3/7 + 42*j**2 + 1656*j/7 = 0. Calculate j.
-92, -6, 0
Solve 2*x**3 - 1258*x**2 - 1260*x = 0 for x.
-1, 0, 630
Suppose 2*t**3/9 - 14*t**2 + 294*t - 2058 = 0. Calculate t.
21
Factor 3*p**4 + 21*p**3 - 1764*p**2.
3*p**2*(p - 21)*(p + 28)
Factor x**3/7 + 17*x**2/7 - 106*x/7 + 88/7.
(x - 4)*(x - 1)*(x + 22)/7
What is o in 3*o**3 - 210*o**2 - 429*o - 216 = 0?
-1, 72
Solve j**4/2 - 31*j**3/2 + 67*j**2 - 52*j = 0 for j.
0, 1, 4, 26
Factor 484*i**2/5 + 4664*i/5 + 11236/5.
4*(11*i + 53)**2/5
Determine q, given that -18*q**2 - 752*q + 168 = 0.
-42, 2/9
Suppose -9*u**5 + 33*u**4 - 27*u**3 - 21*u**2 + 36*u - 12 = 0. Calculate u.
-1, 2/3, 1, 2
Factor h**2/12 - 213*h/2 + 1277/12.
(h - 1277)*(h - 1)/12
Find r, given that -32*r**5/3 - 144*r**4 - 1570*r**3/3 - 1180*r**2/3 + 304*r - 128/3 = 0.
-8, -4, -2, 1/4
Let 2*v**2/5 + 28*v + 490 = 0. Calculate v.
-35
Factor 20*s**5 + 48*s**4 - 224*s**3 - 896*s**2 - 960*s - 256.
4*(s - 4)*(s + 2)**3*(5*s + 2)
Factor -5*m**2 - 9950*m - 4950125.
-5*(m + 995)**2
Suppose -u**5 - 101*u**4 - 2598*u**3 - 2300*u**2 + 5000*u = 0. Calculate u.
-50, -2, 0, 1
Factor 3*x**5 - 18*x**4 + 15*x**3.
3*x**3*(x - 5)*(x - 1)
What is w in 2*w**4/5 + 8*w**3/5 - 8*w**2/5 - 32*w/5 = 0?
-4, -2, 0, 2
Factor -2*r**2/3 + 20864*r/3 - 54413312/3.
-2*(r - 5216)**2/3
Suppose -4*m**2/5 + 644*m/5 - 128 = 0. What is m?
1, 160
Let -3*v**4/2 + 114*v**3 - 1047*v**2/2 - 639*v = 0. What is v?
-1, 0, 6, 71
Factor i**2/2 - 7*i/4 - 9/4.
(i + 1)*(2*i - 9)/4
Let -9*g**4 - 357*g**3 - 3712*g**2 - 3364*g = 0. Calculate g.
-58/3, -1, 0
Factor 5*a**3 - 5*a**2 - 630*a + 1800.
5*(a - 10)*(a - 3)*(a + 12)
Factor 3*y**3 + 81*y**2 + 648*y + 1296.
3*(y + 3)*(y + 12)**2
Find l such that l**3 + 576*l**2 + 110592*l + 7077888 = 0.
-192
Let 16*b**4/7 - 132*b**3/7 + 176*b**2/7 + 36*b - 72/7 = 0. Calculate b.
-1, 1/4, 3, 6
Factor 2*d**5/13 - 2*d**4/13.
2*d**4*(d - 1)/13
Factor -35*d**4 - 290*d**3 - 325*d**2 - 70*d.
-5*d*(d + 1)*(d + 7)*(7*d + 2)
Let 28*h**2 + 132*h - 40 = 0. Calculate h.
-5, 2/7
Let 3*p**2 - 9*p - 264 = 0. What is p?
-8, 11
Factor i**5 + 6*i**4 - i**3 - 6*i**2.
i**2*(i - 1)*(i + 1)*(i + 6)
Find y, given that -y**3 - y**2 + 44*y + 84 = 0.
-6, -2, 7
Factor -c**2 + 12*c - 32.
-(c - 8)*(c - 4)
Solve 5*t**2 - 505*t + 2850 = 0 for t.
6, 95
Factor r**5/4 - r**4/4 - 13*r**3/4 + 25*r**2/4 - 3*r.
r*(r - 3)*(r - 1)**2*(r + 4)/4
Find b such that 3*b**3/5 + 531*b**2/5 - 3*b/5 - 531/5 = 0.
-177, -1, 1
Factor 867*a**2/8 - 204*a + 96.
3*(17*a - 16)**2/8
Solve 3*d**4 + 147*d**3 + 2235*d**2 + 10521*d + 13230 = 0 for d.
-21, -5, -2
Factor -b**3/5 + 3*b**2/5 + 4*b/5.
-b*(b - 4)*(b + 1)/5
Suppose 2*n**3/7 + 54*n**2/7 + 390*n/7 + 338/7 = 0. Calculate n.
-13, -1
Factor -2*d**3/9 - 10*d**2 - 352*d/3 - 968/9.
-2*(d + 1)*(d + 22)**2/9
Let -y**2 + 629*y - 1254 = 0. What is y?
2, 627
Solve -3*i**5 + 81*i**4 + 6*i**3 - 162*i**2 - 3*i + 81 = 0 for i.
-1, 1, 27
Factor -2*m**2 - 42*m - 208.
-2*(m + 8)*(m + 13)
What is a in -2*a**2/7 - 488*a/7 - 29768/7 = 0?
-122
Factor 3*y**4 - 912*y**3 + 70218*y**2 - 137712*y + 68403.
3*(y - 151)**2*(y - 1)**2
Determine p so that 576*p**5 - 2736*p**4 + 4620*p**3 - 10043*p**2/3 + 2662*p/3 = 0.
0, 11/12, 2
Let -2*j**3/9 + 1116*j**2 - 1868184*j + 1042446672 = 0. What is j?
1674
Solve m**2/2 + 37*m/2 = 0 for m.
-37, 0
Factor -3*a**2 - 111*a + 234.
-3*(a - 2)*(a + 39)
Factor -5*a**3/4 + 5*a**2 + 5*a/4 - 5.
-5*(a - 4)*(a - 1)*(a + 1)/4
Factor -m**3/2 + 21*m**2/2 - 10*m.
-m*(m - 20)*(m - 1)/2
Solve -3*f**3/2 + 9*f**2 = 0 for f.
0, 6
Factor 2*u**3 + 66*u**2 + 720*u + 2600.
2*(u + 10)**2*(u + 13)
Factor -64*f**2 - 526*f - 112.
-2*(f + 8)*(32*f + 7)
Determine h, given that h**4/9 + 2*h**3/3 - h**2/9 - 2*h/3 = 0.
-6, -1, 0, 1
Factor g**2/2 - 26*g + 338.
(g - 26)**2/2
Factor 4*g**4 - 180*g**3 + 1596*g**2 + 24548*g - 329232.
4*(g - 19)**3*(g + 12)
Find z, given that 15*z**3 + 1352*z**2 + 30555*z + 4050 = 0.
-45, -2/15
What is x in 3*x**5 + 4*x**4/3 - 13*x**3/9 + 2*x**2/9 = 0?
-1, 0, 2/9, 1/3
Let -15*n**2/7 + 93*n/7 + 246/7 = 0. What is n?
-2, 41/5
Determine n so that 8*n**5 - 124*n**4 + 440*n**3 + 380*n**2 - 448*n - 256 = 0.
-1, -1/2, 1, 8
Suppose -100*g**4 + 15*g**3 = 0. What is g?
0, 3/20
Let -55*l**5/3 - 10165*l**4/3 - 157930*l**3 - 379040*l**2/3 + 84640*l/3 = 0. What is l?
-92, -1, 0, 2/11
Factor -722*v**3/3 - 4864*v**2 - 1016*v - 160/3.
-2*(v + 20)*(19*v + 2)**2/3
Factor -d**2 + 1683*d.
-d*(d - 1683)
Factor -i**2/8 - 9*i/4.
-i*(i + 18)/8
Factor t**3/8 - 27*t**2/8 + 159*t/8 + 187/8.
(t - 17)*(t - 11)*(t + 1)/8
Suppose -4*y**4 - 7*y**3 + 5*y**2 + 6*y = 0. Calculate y.
-2, -3/4, 0, 1
What is n in -2*n**5/3 + 29*n**4/3 + 17*n**3 - 46*n**2/3 - 32*n/3 = 0?
-2, -1/2, 0, 1, 16
What is h in 16*h**5 + 76*h**4 - 20*h**3 - 320*h**2 - 176*h + 64 = 0?
-4, -2, -1, 1/4, 2
Find h such that 4*h**4/9 + 8*h**3/9 - 44*h**2 - 800*h/9 - 400/9 = 0.
-10, -1, 10
Solve -14*h**5/9 - 50*h**4/3 + 604*h**3/9 - 184*h**2/3 + 112*h/9 = 0.
-14, 0, 2/7, 1, 2
Factor d**2/4 - 5*d/4 + 3/2.
(d - 3)*(d - 2)/4
Factor -r**5/4 + 24*r**4 - 1199*r**3/2 + 1128*r**2 - 2209*r/4.
-r*(r - 47)**2*(r - 1)**2/4
Solve 2*u**3/15 + 578*u**2/5 + 124992*u/5 - 376712/15 = 0 for u.
-434, 1
Solve -5*b**4 - 180*b**3 - 1435*b**2 + 180*b + 1440 = 0 for b.
-24, -12, -1, 1
What is r in -3*r**5/4 - 3*r**4/2 + 9*r**3/2 + 15*r**2 + 57*r/4 + 9/2 = 0?
-2, -1, 3
Solve -7*y**3 - 27*y**2 + 4*y = 0 for y.
-4, 0, 1/7
Determine o so that 2*o**2/7 - 904*o/7 + 102152/7 = 0.
226
Suppose 6*x**2 + 140*x + 46 = 0. What is x?
-23, -1/3
Determine h so that -5*h**4 - 185*h**3 - 2100*h**2 - 7040*h - 5120 = 0.
-16, -4, -1
Suppose m**5/3 + 173*m**4/3 + 341*m**3/3 - 173*m**2/3 - 114*m = 0. What is m?
-171, -2, -1, 0, 1
Suppose y**5 + 8*y**4 - 369*y**3 + 1348*y**2 - 1300*y = 0. What is y?
-25, 0, 2, 13
Find p, given that -p**5/4 - 3*p**4 - 35*p**3/4 - 5*p**2 + 9*p + 8 = 0.
-8, -2, -1, 1
Find z, given that 5*z**4/4 - 505*z**3/4 - 1025*z**2/4 - 515*z/4 = 0.
-1, 0, 103
Let -25*a**5 + 320*a**4 - 1135*a**3 + 1460*a**2 - 460*a - 160 = 0. What is a?
-1/5, 1, 2, 8
Let 4*g**5 - 12*g**3 - 8*g**2 = 0. What is g?
-1, 0, 2
Solve 2*n**3/9 - 8*n**2/9 - 22*n/9 - 4/3 = 0.
-1, 6
Solve 256*a**5/7 - 1856*a**4/7 - 9936*a**3/7 - 6716*a**2/7 - 1616*a/7 - 132/7 = 0.
-3, -1/4, 11
Solve q**5/3 + 19*q**4/3 + 97*q**3/3 + 15*q*