- 3)**2*(l + 4)
Suppose -r**4/4 - 134*r**3 + 1075*r**2/4 - 269*r/2 = 0. What is r?
-538, 0, 1
Suppose -d**5/2 - 3*d**4/2 - 3*d**3/2 - d**2/2 = 0. What is d?
-1, 0
Solve -o**4 + 25*o**3/2 - 27*o**2 + 41*o/2 - 5 = 0 for o.
1/2, 1, 10
Determine b, given that -b**4/7 + 1105*b**3/7 - 1104*b**2/7 = 0.
0, 1, 1104
What is i in -5*i**4 + 20*i**2 = 0?
-2, 0, 2
Factor 5*s**5 - 15*s**4 + 10*s**3.
5*s**3*(s - 2)*(s - 1)
Suppose -s**5 - 25*s**4 - 250*s**3 - 1250*s**2 - 3125*s - 3125 = 0. Calculate s.
-5
Factor s**3 - 11*s**2 + 24*s.
s*(s - 8)*(s - 3)
Find c, given that c**2 + 95*c - 96 = 0.
-96, 1
Determine c, given that -3*c**5 - 42*c**4 - 177*c**3 - 174*c**2 + 180*c + 216 = 0.
-6, -2, -1, 1
Factor 3*f**3 + 51*f**2 + 198*f.
3*f*(f + 6)*(f + 11)
Let 2*u**5 + 248*u**4 + 8170*u**3 + 30004*u**2 + 36480*u + 14400 = 0. What is u?
-60, -2, -1
Factor -n**5 + 6*n**4 + 15*n**3 - 116*n**2 - 48*n + 576.
-(n - 4)**3*(n + 3)**2
Find b, given that b**3/3 - 128*b**2/3 + 4453*b/3 - 7442 = 0.
6, 61
Suppose 2*j**4/21 + 2*j**3/7 - 2*j**2/7 - 22*j/21 - 4/7 = 0. Calculate j.
-3, -1, 2
Factor 5*v**2 - 7320*v - 7325.
5*(v - 1465)*(v + 1)
Factor m**4/8 - 11*m**2/2 - 18*m - 16.
(m - 8)*(m + 2)**2*(m + 4)/8
Factor -49*c**2 - 28252*c - 4072324.
-(7*c + 2018)**2
Factor -2*f**5/7 - 120*f**4/7 - 1256*f**3/7 + 16320*f**2/7 - 36992*f/7.
-2*f*(f - 4)**2*(f + 34)**2/7
Factor 2*j**2 - 68*j + 578.
2*(j - 17)**2
Let -20*u**2 + 19165*u - 4790 = 0. Calculate u.
1/4, 958
Factor u**2 + 13*u - 14.
(u - 1)*(u + 14)
Find v such that -48*v**5 - 604*v**4 + 284*v**3 + 316*v**2 + 52*v = 0.
-13, -1/3, -1/4, 0, 1
Factor 5*n**5 - 45*n**4 - 15*n**3 + 145*n**2 - 90*n.
5*n*(n - 9)*(n - 1)**2*(n + 2)
Suppose 8*i**4/15 + 446*i**3/15 - 112*i**2/15 = 0. What is i?
-56, 0, 1/4
Suppose -c**5/5 + 4*c**3/5 - 2*c**2/5 - 3*c/5 + 2/5 = 0. Calculate c.
-2, -1, 1
Factor -n**4/5 + n**3/5 + 9*n**2/5 - 9*n/5.
-n*(n - 3)*(n - 1)*(n + 3)/5
Factor i**5/4 - 5*i**4/2 + 8*i**3 - 19*i**2/2 + 15*i/4.
i*(i - 5)*(i - 3)*(i - 1)**2/4
Let 2*s**4/9 + 4*s**3/3 - 34*s**2/9 - 4*s/3 + 32/9 = 0. What is s?
-8, -1, 1, 2
Factor -5*u**2 - 1955*u + 1960.
-5*(u - 1)*(u + 392)
Find r such that -20*r**4/3 + 2132*r**3/9 - 3164*r**2/9 + 1228*r/9 - 136/9 = 0.
1/5, 1/3, 1, 34
Determine l so that -5*l**2 + 715*l + 1450 = 0.
-2, 145
Factor -3*m**2/2 + 11*m/4 + 1/2.
-(m - 2)*(6*m + 1)/4
Factor -3*c**3 - 12*c**2 + 33*c - 18.
-3*(c - 1)**2*(c + 6)
Find s such that -s**5/2 + 2*s**4 + 5*s**3/2 = 0.
-1, 0, 5
Determine a, given that -7*a**2/3 - 20*a/3 - 4 = 0.
-2, -6/7
Determine m, given that -4*m**2 - 11016*m - 7584516 = 0.
-1377
Solve c**4/6 + 35*c**3/6 + 11*c**2/2 - 35*c/6 - 17/3 = 0.
-34, -1, 1
What is r in 3*r**4 + 87*r**3 - 93*r**2 - 87*r + 90 = 0?
-30, -1, 1
What is k in -2*k**3 - 670*k**2 - 1334*k - 666 = 0?
-333, -1
Solve -4*z**3 - 24*z**2 + 76*z + 336 = 0.
-7, -3, 4
Suppose 2*n**3/17 + 106*n**2/17 - 108*n/17 = 0. What is n?
-54, 0, 1
Factor 2*n**5 - 2*n**4 - 22*n**3 + 58*n**2 - 52*n + 16.
2*(n - 2)*(n - 1)**3*(n + 4)
Factor -g**4 - 161*g**3 + 492*g**2 - 4*g - 656.
-(g - 2)**2*(g + 1)*(g + 164)
Determine h, given that -2*h**2/7 - 6*h - 40/7 = 0.
-20, -1
Determine w, given that 2*w**3 + 66*w**2 - 296*w = 0.
-37, 0, 4
Factor -2*b**3/19 + 52*b**2/19 - 306*b/19.
-2*b*(b - 17)*(b - 9)/19
Factor -3*v**4/7 - 24*v**3/7 + 57*v**2/7 - 30*v/7.
-3*v*(v - 1)**2*(v + 10)/7
What is p in -4*p**3 - 44*p**2 - 40*p = 0?
-10, -1, 0
Let 4*z**2 - 23208*z + 33663204 = 0. Calculate z.
2901
Suppose -2*j**2/3 - 106*j = 0. What is j?
-159, 0
Suppose 4*l**2/5 - 16*l/5 - 84/5 = 0. Calculate l.
-3, 7
Determine d so that d**2/4 + 3*d/2 - 7/4 = 0.
-7, 1
Factor -23*d**4 - 70*d**3 - 49*d**2 - 2*d.
-d*(d + 1)*(d + 2)*(23*d + 1)
Factor 5*c**2 - 280*c + 540.
5*(c - 54)*(c - 2)
Suppose -l**5 + 24*l**4 - 166*l**3 + 264*l**2 - 121*l = 0. Calculate l.
0, 1, 11
Factor -5*l**2 + 90*l - 225.
-5*(l - 15)*(l - 3)
Factor 2*n**2/3 + 58*n + 340/3.
2*(n + 2)*(n + 85)/3
Solve y**5/3 - 10*y**4/3 - 37*y**3/3 - 26*y**2/3 = 0.
-2, -1, 0, 13
Factor -3*l**3 + 1122*l**2 - 104907*l.
-3*l*(l - 187)**2
Find t such that -3*t**2/5 - 12*t - 153/5 = 0.
-17, -3
Let -9*g**4/4 + 1533*g**3/4 + 2859*g**2/2 + 1047*g - 522 = 0. What is g?
-2, 1/3, 174
Factor -j**2/6 - 317*j/6 + 214.
-(j - 4)*(j + 321)/6
Factor -3*a**2/8 + 39*a/2 - 153/8.
-3*(a - 51)*(a - 1)/8
Factor -4*y**5 - 8*y**4 + 288*y**3 - 1080*y**2 + 1188*y.
-4*y*(y - 3)**3*(y + 11)
Factor 195*f**3 + 200*f**2.
5*f**2*(39*f + 40)
Factor 2*b**3 + 168*b**2 + 4704*b + 43904.
2*(b + 28)**3
Factor -2*d**3/15 + 16*d**2/15 + 6*d/5.
-2*d*(d - 9)*(d + 1)/15
Factor -2*c**3/11 + 164*c**2/11 - 320*c/11.
-2*c*(c - 80)*(c - 2)/11
Determine f, given that -2*f**4 - 20*f**3 - 18*f**2 = 0.
-9, -1, 0
Determine n, given that 14*n**3/3 + 5*n**2 - 17*n/3 - 4 = 0.
-3/2, -4/7, 1
Factor -f**5/5 + f**4 - 9*f**3/5 + 7*f**2/5 - 2*f/5.
-f*(f - 2)*(f - 1)**3/5
Suppose -u**4/3 - 8*u**3/3 - 7*u**2 - 22*u/3 - 8/3 = 0. Calculate u.
-4, -2, -1
Factor -100*w**3/7 - 12520*w**2 + 140416*w/7 - 56192/7.
-4*(w + 878)*(5*w - 4)**2/7
Factor 2*a**4 - 14*a**3 + 28*a**2 - 16*a.
2*a*(a - 4)*(a - 2)*(a - 1)
Factor 12*j**3 + 369*j**2 + 603*j - 174.
3*(j + 2)*(j + 29)*(4*j - 1)
Let d**2/7 + 342*d/7 + 680/7 = 0. What is d?
-340, -2
What is h in -9*h**3 - 30*h**2 + 351*h + 120 = 0?
-8, -1/3, 5
Factor -255*g**3 + 1795*g**2 - 2620*g + 100.
-5*(g - 5)*(g - 2)*(51*g - 2)
Determine t, given that -5*t**5 + 20*t**4 - 30*t**3 + 20*t**2 - 5*t = 0.
0, 1
Suppose 6*y**2/5 + 78*y/5 + 48 = 0. Calculate y.
-8, -5
Factor 2*n**2/11 + 114*n/11 + 520/11.
2*(n + 5)*(n + 52)/11
Factor -2*x**4 + 54*x**3 + 594*x**2 + 1890*x + 1944.
-2*(x - 36)*(x + 3)**3
Factor -4*z**2 - 13840*z - 11971600.
-4*(z + 1730)**2
Find a, given that a**5 + 16*a**4 + 84*a**3 + 166*a**2 + 139*a + 42 = 0.
-7, -6, -1
Suppose 3*q**5 - 30*q**4 + 75*q**3 + 60*q**2 - 348*q + 240 = 0. What is q?
-2, 1, 2, 4, 5
Let 33*f**5 + 226*f**4 + 139*f**3 - 202*f**2 - 172*f - 24 = 0. What is f?
-6, -1, -2/3, -2/11, 1
Determine w so that -3*w**2 + 24*w = 0.
0, 8
Factor -35*i**3 + 1300*i**2 + 35*i - 1300.
-5*(i - 1)*(i + 1)*(7*i - 260)
Factor -2*t**2/15 - 68*t/15 - 128/15.
-2*(t + 2)*(t + 32)/15
Factor d**2 - 82*d + 1681.
(d - 41)**2
Factor 3*d**4 - 3*d**3 - 69*d**2 - 117*d - 54.
3*(d - 6)*(d + 1)**2*(d + 3)
Factor o**5 + 157*o**4 + 618*o**3 + 922*o**2 + 613*o + 153.
(o + 1)**4*(o + 153)
Solve -2*a**3 + 14*a**2 - 22*a + 10 = 0 for a.
1, 5
Suppose 121*i**2/3 + 748*i/3 + 1156/3 = 0. Calculate i.
-34/11
Factor z**3/3 + 277*z**2/3 + 19043*z/3 - 19321/3.
(z - 1)*(z + 139)**2/3
What is u in -4*u**5/9 + 4*u**4/3 - 4*u**3/9 - 4*u**2/3 + 8*u/9 = 0?
-1, 0, 1, 2
Let -k**4/3 + k**3/3 + 8*k**2/3 - 4*k = 0. What is k?
-3, 0, 2
Factor -2*s**3/11 - 12*s**2/11 - 6*s/11 + 20/11.
-2*(s - 1)*(s + 2)*(s + 5)/11
Factor -4*b**5 - 4*b**4 + 32*b**3 + 48*b**2.
-4*b**2*(b - 3)*(b + 2)**2
Determine h, given that 5*h**3 - 70*h**2 - 705*h - 630 = 0.
-6, -1, 21
Factor -u**2 - 41*u - 40.
-(u + 1)*(u + 40)
Suppose 2*y**5/7 - 10*y**4/7 - 76*y**3/7 + 12*y**2/7 + 234*y/7 - 162/7 = 0. What is y?
-3, 1, 9
Factor -j**2 + 29*j - 28.
-(j - 28)*(j - 1)
What is a in -a**2 + 2724*a = 0?
0, 2724
Find i, given that -2*i**4 + 34*i**3 - 24*i**2 - 136*i + 128 = 0.
-2, 1, 2, 16
Find q such that -4*q**2 + 40*q - 36 = 0.
1, 9
Factor 121*j**3 + 22*j**2 + j.
j*(11*j + 1)**2
Solve -4*q**5/3 - 4*q**4/3 + 8*q**3/3 = 0.
-2, 0, 1
Determine t, given that 15*t**4 - 1030*t**3 + 680*t**2 = 0.
0, 2/3, 68
Factor -5*q**2 - 100*q - 480.
-5*(q + 8)*(q + 12)
Factor 3*q**4 + 27*q**3/2 - 27*q**2.
3*q**2*(q + 6)*(2*q - 3)/2
Factor 3*l**3/4 + 999*l**2/4 + 110889*l/4 + 4102893/4.
3*(l + 111)**3/4
Determine t so that -11*t**2/3 + 4*t - 1/3 = 0.
1/11, 1
Let n**2 - 732*n + 731 = 0. Calculate n.
1, 731
Suppose 3*u**4/4 - 3*u**3/4 - 3*u**2/4 + 3*u/4 = 0. What is u?
-1, 0, 1
Factor 2*l**2/7 + 1688*l + 2493176.
2*(l + 2954)**2/7
Factor 3*h**2 + 93*h.
3*h*(h + 31)
Factor 3*b**3/7 + 15*b**2/7 - 39*b/7 + 3.
3*(b - 1)**2*(b + 7)/7
What is u in -2*u**2/11 + 1176*u/11 - 172872/11 = 0?
294
Solve 3*z**2 + 3312*z + 914112 = 0 for z.
-552
Solve -5*m**3 + 35*m**2 - 20*m - 60 = 0.
-1, 2, 6
Determine y, given that y**2/3 + 13*y/3 - 10 = 0.
-15, 2
Factor -x**3/3 + 20*x**2/3 - 113*x/3 + 154/3.
-(x - 11)*(x - 7)*(x - 2)/3
Factor -5*p**2 - 620*p + 1260.
-5*(p - 2)*(p + 126)
Suppo