2*v - 8.
(v - 4)*(v + 2)
Factor 3905*u**2 + 3935*u + 30.
5*(u + 1)*(781*u + 6)
Let -10*t**4/9 + 4*t**3/9 = 0. Calculate t.
0, 2/5
Determine j so that 2*j**3 + 170*j**2 + 2068*j - 2240 = 0.
-70, -16, 1
Determine x so that 100*x**2/3 - 2480*x/3 + 15376/3 = 0.
62/5
Find h such that -20*h**4 + 83*h**3 - 90*h**2 + 4*h + 8 = 0.
-1/4, 2/5, 2
Solve -r**5/2 + r**4/3 + 2*r**3/3 - r**2/3 - r/6 = 0 for r.
-1, -1/3, 0, 1
Determine b, given that 2*b**4/13 + 46*b**3/13 - 50*b**2/13 - 46*b/13 + 48/13 = 0.
-24, -1, 1
Solve -4*p**4 + 28*p**3 - 68*p**2 + 68*p - 24 = 0.
1, 2, 3
Solve -w**5/10 - 7*w**4/10 - 3*w**3/10 + 11*w**2/2 + 56*w/5 + 6 = 0 for w.
-5, -2, -1, 3
Factor 2*v**2/13 - 46*v/13 - 100/13.
2*(v - 25)*(v + 2)/13
Factor 2*o**2 - 1948*o - 1950.
2*(o - 975)*(o + 1)
Solve 2*n**2 - 220*n + 218 = 0.
1, 109
Solve -4*v**3 + 120*v**2 - 228*v + 112 = 0 for v.
1, 28
Factor -2*t**3/13 + 1522*t**2/13 - 291830*t/13 + 861846/13.
-2*(t - 379)**2*(t - 3)/13
Factor -p**3/5 + 138*p**2/5 - 273*p/5 + 136/5.
-(p - 136)*(p - 1)**2/5
Factor -64*w**5 - 784*w**4 + 615*w**3 - 117*w**2.
-w**2*(w + 13)*(8*w - 3)**2
Factor -5*a**3 - 85*a**2 - 295*a + 385.
-5*(a - 1)*(a + 7)*(a + 11)
Find c such that -16*c**3 - 12*c**2 + 60*c + 56 = 0.
-7/4, -1, 2
Let 2*s**2 + 38*s + 180 = 0. Calculate s.
-10, -9
Determine u, given that -4*u**2/5 + 656*u/5 - 1932/5 = 0.
3, 161
Factor 5*n**3 + 45*n**2 + 70*n.
5*n*(n + 2)*(n + 7)
Factor -g**2/7 + 20*g/7 + 44/7.
-(g - 22)*(g + 2)/7
Factor 94*k**2 + 2*k.
2*k*(47*k + 1)
Factor 5*r**5 - 5*r**4 - 50*r**3 - 40*r**2.
5*r**2*(r - 4)*(r + 1)*(r + 2)
Solve -j**2 - 1933*j/4 - 483/4 = 0 for j.
-483, -1/4
Solve 3*p**4 + 9*p**3 + 3*p**2 - 9*p - 6 = 0 for p.
-2, -1, 1
Let s**2/2 + 11*s + 117/2 = 0. Calculate s.
-13, -9
Suppose -p**2/2 - 80*p - 3200 = 0. What is p?
-80
Suppose -2*b**5/9 + 14*b**4/3 + 44*b**3/9 = 0. What is b?
-1, 0, 22
Factor -a**5/3 + 20*a**4/3.
-a**4*(a - 20)/3
Solve -4*s**4 - 4136*s**3 - 1052484*s**2 + 8619424*s - 17372224 = 0.
-521, 4
Factor -5*a**4/6 + 2*a**3 - 3*a**2/2 + a/3.
-a*(a - 1)**2*(5*a - 2)/6
Find v, given that 5*v**2 + 540*v - 6545 = 0.
-119, 11
Factor s**2/3 + 113*s + 338/3.
(s + 1)*(s + 338)/3
Suppose 4*x**3 - 1680*x**2 + 3348*x - 1672 = 0. Calculate x.
1, 418
Determine q so that -3*q**4 - 5562*q**3 = 0.
-1854, 0
Let 4*z**2/9 - 4*z/9 - 8/9 = 0. What is z?
-1, 2
Solve -k**2 - 48*k - 380 = 0.
-38, -10
Find i, given that -2*i**5/5 - 14*i**4/5 - 22*i**3/5 + 38*i**2/5 + 24*i + 72/5 = 0.
-3, -2, -1, 2
Find s, given that -45*s**3/7 + 86*s**2/7 + 143*s/7 + 12/7 = 0.
-1, -4/45, 3
Let -3*y**2/7 - 33*y/7 + 78/7 = 0. Calculate y.
-13, 2
Factor d**2/3 - 1466*d/3 + 537289/3.
(d - 733)**2/3
Factor x**3/4 + x**2/4 - 645*x/4 - 6525/4.
(x - 29)*(x + 15)**2/4
What is f in 7*f**4 - 135*f**3 + 346*f**2 + 360*f - 128 = 0?
-1, 2/7, 4, 16
Factor n**3 - n**2.
n**2*(n - 1)
Solve a**3/3 + 101*a**2/3 - 34*a = 0 for a.
-102, 0, 1
Factor 31104*s**4/7 - 59616*s**3/7 - 88920*s**2/7 - 105118*s/21 - 4394/7.
2*(s - 3)*(36*s + 13)**3/21
Factor -c**3 - 113*c**2 - 3135*c + 3249.
-(c - 1)*(c + 57)**2
Factor 3*h**3 + 48*h**2 + 87*h + 42.
3*(h + 1)**2*(h + 14)
Factor j**3 - 17*j**2 + 88*j - 144.
(j - 9)*(j - 4)**2
Factor -2*w**3/3 - w**2/3 + 5*w/3 - 2/3.
-(w - 1)*(w + 2)*(2*w - 1)/3
Let -q**5 - 3*q**4 + 8*q**3 + 12*q**2 - 16*q = 0. What is q?
-4, -2, 0, 1, 2
Suppose l**3/4 - 11*l**2/4 - 30*l - 27 = 0. Calculate l.
-6, -1, 18
What is m in 2*m**3/5 + 66*m**2/5 + 102*m - 578/5 = 0?
-17, 1
Factor 2*h**2/9 - 86*h/9.
2*h*(h - 43)/9
Factor 3*t**3/5 + 207*t**2/5 + 864*t + 4860.
3*(t + 9)*(t + 30)**2/5
Find k, given that 5*k**3 + 20*k**2 + 25*k + 10 = 0.
-2, -1
Factor -2*i**3 - 1458*i**2 - 354294*i - 28697814.
-2*(i + 243)**3
Let -2*t**2/21 - 10*t/21 + 4/7 = 0. What is t?
-6, 1
Factor -3*f**3/2 - 15*f**2 + 69*f/2 + 198.
-3*(f - 4)*(f + 3)*(f + 11)/2
Find z, given that 5*z**4/2 - 16*z**3 - 33*z**2/2 + 44*z - 14 = 0.
-2, 2/5, 1, 7
Find q such that 3*q**2 - 2307*q = 0.
0, 769
Let 64*x**3/9 - 5472*x**2 + 3166220*x/3 - 9449476/9 = 0. Calculate x.
1, 1537/4
Let -2*s**2 + 32*s - 110 = 0. What is s?
5, 11
Factor -2*u**2 + 2778*u + 2780.
-2*(u - 1390)*(u + 1)
Factor 2*l**2/13 + 18*l/13 - 140/13.
2*(l - 5)*(l + 14)/13
Factor 3*d**4/4 - 51*d**3/4 + 225*d**2/4 - 297*d/4.
3*d*(d - 11)*(d - 3)**2/4
Let 2*v**5/13 - 22*v**4/13 + 8*v**3/13 + 128*v**2/13 - 64*v/13 - 160/13 = 0. Calculate v.
-2, -1, 2, 10
Factor -t**2/7 - 1334*t/7 - 444889/7.
-(t + 667)**2/7
Factor -2*o**3/11 - 78*o**2/11 - 720*o/11 + 800/11.
-2*(o - 1)*(o + 20)**2/11
Suppose 3*x**2 + 30*x - 72 = 0. Calculate x.
-12, 2
Factor -q**3 + 10*q**2 + 149*q - 510.
-(q - 17)*(q - 3)*(q + 10)
Factor -3*j**5 - 561*j**4 - 27057*j**3 - 77835*j**2 - 76728*j - 25392.
-3*(j + 1)**3*(j + 92)**2
Find x, given that -x**3 + 18*x**2 - 29*x - 48 = 0.
-1, 3, 16
Determine u so that -686*u**3/5 + 29106*u**2/5 - 411642*u/5 + 1940598/5 = 0.
99/7
What is k in -12*k**4 + 16*k**3 + 8*k**2 - 16*k + 4 = 0?
-1, 1/3, 1
Determine i, given that i**5 + 5*i**4 - 11*i**3 - 33*i**2 - 18*i = 0.
-6, -1, 0, 3
Factor 5*y**2 - 250*y - 255.
5*(y - 51)*(y + 1)
Factor -5*b**5 - 10*b**4 + 90*b**3 - 160*b**2 + 115*b - 30.
-5*(b - 1)**4*(b + 6)
Determine t so that -4*t**3/3 + 88*t**2/3 - 172*t + 144 = 0.
1, 9, 12
Find s such that -12*s**5 + 8*s**4 + 108*s**3 - 24*s**2 - 176*s + 96 = 0.
-2, 2/3, 1, 3
Factor -y**3 + 36*y**2 - 69*y + 34.
-(y - 34)*(y - 1)**2
Suppose 5*s**4 - 10*s**3 + 10*s - 5 = 0. What is s?
-1, 1
Suppose -3*m**4/5 - 3*m**3/5 + 18*m**2/5 = 0. Calculate m.
-3, 0, 2
Factor -u**4/4 + 3*u**3/4 + 7*u**2/4 - 15*u/4 - 9/2.
-(u - 3)**2*(u + 1)*(u + 2)/4
Solve -2*t**5/5 - 76*t**4/5 - 212*t**3/5 - 64*t**2/5 + 214*t/5 + 28 = 0 for t.
-35, -2, -1, 1
Suppose -16*g**4 - 180*g**3 - 460*g**2 - 360*g - 64 = 0. Calculate g.
-8, -2, -1, -1/4
Factor g**3/5 - 239*g**2/5 + 2078*g/5 - 368.
(g - 230)*(g - 8)*(g - 1)/5
Factor -8100*i**3 + 15480*i**2 + 1424*i + 32.
-4*(i - 2)*(45*i + 2)**2
Find b, given that 5*b**3/4 + 25*b**2/2 - 535*b/4 + 255 = 0.
-17, 3, 4
What is w in 4*w**5 - 392*w**4 + 1484*w**3 + 1880*w**2 = 0?
-1, 0, 5, 94
Factor 3*z**5 - 9*z**4 - 84*z**3 + 180*z**2.
3*z**2*(z - 6)*(z - 2)*(z + 5)
Solve -4*x**4/3 + 7*x**3 - 11*x**2 + 19*x/3 - 1 = 0.
1/4, 1, 3
Determine l so that 3*l**3/5 - 90*l**2 + 891*l/5 - 444/5 = 0.
1, 148
Factor -2*a**2/3 - 50*a - 148/3.
-2*(a + 1)*(a + 74)/3
Determine h, given that -h**2 - 18*h + 19 = 0.
-19, 1
Let -5*s**2 - 215*s - 780 = 0. What is s?
-39, -4
Find l such that -4*l**3 - 164*l**2 + 4*l + 164 = 0.
-41, -1, 1
Factor -5*h**2 - 180*h + 185.
-5*(h - 1)*(h + 37)
Solve -7*v**3/3 + 3*v**2 + 4*v - 4/3 = 0.
-1, 2/7, 2
Factor 3*m**2/5 - 30*m.
3*m*(m - 50)/5
Solve 125*g**5 - 1425*g**4 + 3805*g**3 - 3355*g**2 + 930*g - 80 = 0.
1/5, 1, 2, 8
Factor 2*f**2 + 1152*f + 165888.
2*(f + 288)**2
Factor 4*y**4/3 - 80*y**3/3 - 4*y**2/3 + 80*y/3.
4*y*(y - 20)*(y - 1)*(y + 1)/3
Suppose 4*t**3 - 52*t**2 + 40*t + 96 = 0. What is t?
-1, 2, 12
Factor -2*w**2 + 14*w + 36.
-2*(w - 9)*(w + 2)
Factor -4*k**4 - 36*k**3 - 104*k**2 - 96*k.
-4*k*(k + 2)*(k + 3)*(k + 4)
Solve 3*m**3/4 - 1041*m**2/4 + 90825*m/4 - 89787/4 = 0 for m.
1, 173
Solve -3*v**4/4 + 21*v**3/2 + 201*v**2/4 + 66*v + 27 = 0.
-2, -1, 18
Suppose -5*s**2 - 120*s - 115 = 0. What is s?
-23, -1
What is x in 39*x**3 + 51*x**2 + 12*x = 0?
-1, -4/13, 0
Suppose 2*u**5/5 - 48*u**4/5 - 128*u**3/5 + 608*u**2/5 + 96*u - 1664/5 = 0. What is u?
-4, -2, 2, 26
Suppose -4*a**3 + 21768*a**2 - 39487152*a + 23876564576 = 0. Calculate a.
1814
Find i such that -4*i**4 - 20*i**3 + 124*i**2 + 740*i + 600 = 0.
-5, -1, 6
Factor -o**4/2 + 13*o**3/2 + 109*o**2/2 + 95*o/2.
-o*(o - 19)*(o + 1)*(o + 5)/2
Factor -2*b**2 + 8*b.
-2*b*(b - 4)
Find t, given that -2*t**5 - 68*t**4 - 630*t**3 - 692*t**2 + 2944*t + 3072 = 0.
-16, -3, -1, 2
Solve 5*f**3 + 3790*f**2 + 714400*f - 1444000 = 0 for f.
-380, 2
Let 14*b**5 - 110*b**4 + 282*b**3 - 290*b**2 + 104*b = 0. What is b?
0, 1, 13/7, 4
Factor -2*c**3/25 + 6*c**2/5 + 66*c/25 + 34/25.
-2*(c - 17)*(c + 1)**2/25
Factor -5*b**3 + 12375*b**2 - 24735*b + 12365.
-5*(b - 2473)*(b - 1)**2
Determine t so that -3*t**3/2 - 171*t**2/2 - 165*t = 0.
-55, -2, 0
Find m, given that 3*m**2 = 0.
0
Suppose -2*f**3/11 - 200*f**2/11 - 1314*f/11 - 1116/11 = 0. Calculate f.
-93, -6, -1
Suppose g**4 - 142*g**3 + 5445*g**2 - 28424