h that -3*v**5/2 + 24*v**4 - 81*v**3/2 - 24*v**2 + 42*v = 0.
-1, 0, 1, 2, 14
Determine p, given that 28*p**4 + 176*p**3 - 204*p**2 - 464*p - 112 = 0.
-7, -1, -2/7, 2
Solve -v**5 - 19*v**4 - 104*v**3 - 176*v**2 = 0 for v.
-11, -4, 0
Factor -q**2 - 748*q - 139876.
-(q + 374)**2
Factor -4*p**3 + 96*p**2 + 5580*p - 146072.
-4*(p - 31)**2*(p + 38)
Factor -5*m**2 + 45650*m - 104196125.
-5*(m - 4565)**2
Factor 14*g**3/5 + 16*g**2 + 88*g/5 - 32/5.
2*(g + 2)*(g + 4)*(7*g - 2)/5
Find b, given that 39*b**5 - 213*b**4 + 441*b**3 - 435*b**2 + 204*b - 36 = 0.
6/13, 1, 2
Determine b, given that -2*b**4 - 358*b**3 - 17784*b**2 - 151200*b + 169344 = 0.
-84, -12, 1
Factor 4*i**3 + 168*i**2 - 4*i - 168.
4*(i - 1)*(i + 1)*(i + 42)
Solve 2*c**3 - 48*c**2 - 104*c = 0 for c.
-2, 0, 26
Find d, given that 45*d**4 + 168*d**3 - 262*d**2 + 112*d - 15 = 0.
-5, 1/3, 3/5
Find t such that -t**4 - 26*t**3 + 225*t**2 - 198*t = 0.
-33, 0, 1, 6
Let z**2/4 - 9*z = 0. Calculate z.
0, 36
Determine c so that -65*c**3/4 - 25*c**2/2 + 15*c/4 = 0.
-1, 0, 3/13
Factor 2*q**2/13 - 68*q/13 + 128/13.
2*(q - 32)*(q - 2)/13
Suppose -60*f**5 + 196*f**4 - 72*f**3 - 144*f**2 - 32*f = 0. Calculate f.
-2/5, -1/3, 0, 2
Factor -q**4/3 + q**3/3 + 82*q**2 + 1696*q/3 + 2432/3.
-(q - 19)*(q + 2)*(q + 8)**2/3
Solve 3*n**5 + 72*n**4 + 309*n**3 + 468*n**2 + 228*n = 0 for n.
-19, -2, -1, 0
Let 2*z**3 + 2*z**2 - 2*z - 2 = 0. What is z?
-1, 1
Factor -4*o**4/5 - 3*o**3 - 8*o**2/5 + 3*o/5.
-o*(o + 1)*(o + 3)*(4*o - 1)/5
Determine o so that o**5/4 - 625*o**4/8 + 1547*o**3/8 + 469*o**2/4 - 619*o/2 - 155 = 0.
-1, -1/2, 2, 310
Factor 75*v**2/2 - 57*v/2 - 9.
3*(v - 1)*(25*v + 6)/2
What is h in -h**4 - 6*h**3 - 11*h**2 - 6*h = 0?
-3, -2, -1, 0
What is u in -2*u**2 + 1216*u - 184832 = 0?
304
Find b, given that -4*b**5 + 8*b**4 - 8*b**2 + 4*b = 0.
-1, 0, 1
What is q in -2*q**4/15 + 284*q**3/15 - 10898*q**2/15 + 19312*q/5 - 27744/5 = 0?
3, 68
Let -4*y**5/7 - 24*y**4/7 + 60*y**3/7 + 320*y**2/7 - 48*y - 576/7 = 0. What is y?
-6, -4, -1, 2, 3
Let -23*g**2/7 + 2*g/7 = 0. What is g?
0, 2/23
Suppose -9*d**5/4 + 3*d**4 + 15*d**3 - 15*d**2/2 - 51*d/4 + 9/2 = 0. Calculate d.
-2, -1, 1/3, 1, 3
Solve -147*i**4 + 13944*i**3 - 25542*i**2 + 14256*i - 2511 = 0 for i.
3/7, 1, 93
Suppose -c**5/3 + 5*c**4/3 - 10*c**3/3 + 10*c**2/3 - 5*c/3 + 1/3 = 0. What is c?
1
Factor -21*w**3 - 39*w**2 - 15*w + 3.
-3*(w + 1)**2*(7*w - 1)
Determine f, given that -200*f**5 + 920*f**4 + 102*f**3 - 3888*f**2 + 2214*f - 324 = 0.
-2, 3/10, 3
Suppose -3*d**5 + 171*d**4 - 1224*d**3 + 2352*d**2 = 0. Calculate d.
0, 4, 49
Determine m, given that -10*m**5/13 - 86*m**4/13 - 184*m**3/13 + 88*m**2/13 + 320*m/13 - 128/13 = 0.
-4, -2, 2/5, 1
Find a such that -5*a**2 + 7780*a - 3026420 = 0.
778
Suppose 2*o**4/11 - 2*o**3/11 - 14*o**2/11 + 2*o/11 + 12/11 = 0. Calculate o.
-2, -1, 1, 3
What is q in 18*q**5/11 - 1058*q**4/11 + 16396*q**3/11 - 50664*q**2/11 + 38320*q/11 + 11200/11 = 0?
-2/9, 2, 20, 35
Let -3*j**2 + 15*j - 18 = 0. Calculate j.
2, 3
Factor 2*s**2/5 + 558*s/5 - 1124/5.
2*(s - 2)*(s + 281)/5
Factor -3*g**3 + 81*g**2 - 153*g + 75.
-3*(g - 25)*(g - 1)**2
Let -5*g**2 + 75*g + 770 = 0. Calculate g.
-7, 22
Find k, given that -5*k**5/3 + 70*k**4 - 255*k**3 + 160*k**2/3 + 380*k = 0.
-1, 0, 2, 3, 38
Determine y so that 66*y**2/7 + 1786*y/7 + 108/7 = 0.
-27, -2/33
Let -r**4/3 + 13*r**3/3 + 49*r**2/3 - 13*r/3 - 16 = 0. What is r?
-3, -1, 1, 16
What is q in 2*q**5/5 + 4*q**4 - 4*q**3/5 - 256*q**2/5 + 434*q/5 - 196/5 = 0?
-7, 1, 2
Suppose -5*x**3/2 + 125*x**2/4 - 65*x + 25 = 0. Calculate x.
1/2, 2, 10
Solve -1014*a**3 + 3016*a**2 + 467*a/6 + 1/2 = 0 for a.
-1/78, 3
Factor -m**4/3 + 2*m**3 + 33*m**2 - 108*m - 972.
-(m - 9)**2*(m + 6)**2/3
Factor 3*l**2/5 - 7728*l/5 + 4976832/5.
3*(l - 1288)**2/5
Let -10*o**4/9 - 2*o**3/3 + 14*o**2/9 + 2*o/3 - 4/9 = 0. Calculate o.
-1, 2/5, 1
Factor 2*a**2/11 + 10260*a/11 + 10258/11.
2*(a + 1)*(a + 5129)/11
Determine s, given that -s**3 + 30*s**2 - 29*s = 0.
0, 1, 29
Factor -k**2/5 - 4559*k/5 - 4558/5.
-(k + 1)*(k + 4558)/5
Let -76*i**4/3 - 638*i**3/3 + 448*i**2/3 + 302*i/3 - 12 = 0. What is i?
-9, -1/2, 2/19, 1
What is o in -3*o**3/2 + 33*o**2/2 - 36*o - 54 = 0?
-1, 6
Suppose -z**5/2 - 3*z**4/2 + 131*z**3/2 + 3*z**2/2 - 65*z = 0. Calculate z.
-13, -1, 0, 1, 10
Let 2*w**4/3 - 216*w**3 = 0. Calculate w.
0, 324
Determine n, given that n**3/2 - 18*n = 0.
-6, 0, 6
Factor -j**2 + 100*j - 291.
-(j - 97)*(j - 3)
Determine w so that w**3/4 + 56*w**2 + 1089*w/4 - 657/2 = 0.
-219, -6, 1
Factor -3*c**2/2 - 72*c + 147/2.
-3*(c - 1)*(c + 49)/2
Factor 3*n**4 + 12*n**3 - 159*n**2 - 72*n + 1296.
3*(n - 4)**2*(n + 3)*(n + 9)
Solve -4*r**4 + 28*r**3 + 312*r**2 = 0 for r.
-6, 0, 13
What is s in 28*s**5 + 8*s**4 - 224*s**3 - 64*s**2 + 448*s + 128 = 0?
-2, -2/7, 2
Factor a**5/5 + 17*a**4/5 - 16*a**3 + 84*a**2/5.
a**2*(a - 2)**2*(a + 21)/5
Factor b**2/5 + 2216*b/5 + 1227664/5.
(b + 1108)**2/5
Factor -4*w**3 - 108*w**2 - 608*w + 720.
-4*(w - 1)*(w + 10)*(w + 18)
Factor -k**3 - 97*k**2 - 886*k - 1392.
-(k + 2)*(k + 8)*(k + 87)
Factor 4*f**3 - 464*f**2 + 13456*f.
4*f*(f - 58)**2
Factor -3*n**2/4 + 9*n + 39/4.
-3*(n - 13)*(n + 1)/4
Suppose -5*n**2 + 70*n + 75 = 0. Calculate n.
-1, 15
Let -h**2/8 - 17*h/4 = 0. Calculate h.
-34, 0
Suppose -y**3 + 45*y**2/4 + 37*y/4 - 3 = 0. What is y?
-1, 1/4, 12
Find c, given that -2*c**2/5 - 116*c/5 - 224/5 = 0.
-56, -2
Factor 2*g**5/9 - 964*g**4/9 + 51520*g**3/3 - 8191036*g**2/9 - 8346562*g/9.
2*g*(g - 161)**3*(g + 1)/9
Factor -20*v**5 + 45*v**4 - 30*v**3 + 5*v**2.
-5*v**2*(v - 1)**2*(4*v - 1)
Factor -5*h**3 + 55*h**2 + 8680*h - 176400.
-5*(h - 28)**2*(h + 45)
Factor 3*y**4/4 + 21*y**3/4 - 81*y**2 + 135*y.
3*y*(y - 6)*(y - 2)*(y + 15)/4
Factor s**2/3 - 6*s + 32/3.
(s - 16)*(s - 2)/3
What is n in -8*n**3/3 - 34*n**2/3 - 32*n/3 - 2 = 0?
-3, -1, -1/4
Solve q**4 - 20*q**3 + 128*q**2 - 256*q = 0 for q.
0, 4, 8
Determine v so that 4*v**5 - 60*v**4 - 76*v**3 + 172*v**2 + 312*v + 128 = 0.
-1, 2, 16
Solve 6*u**4/11 + 100*u**3/11 + 152*u**2/11 + 28*u/11 - 30/11 = 0 for u.
-15, -1, 1/3
Find u such that -4*u**4 - 15056*u**3 - 14182744*u**2 - 28320336*u - 14152644 = 0.
-1881, -1
Suppose 3*x**5 + 928*x**4/5 + 15971*x**3/5 + 48314*x**2/5 - 6728*x/5 = 0. Calculate x.
-29, -4, 0, 2/15
Find m, given that -2*m**3/9 + 1304*m**2/9 + 10528*m/9 + 7040/3 = 0.
-4, 660
Factor 4*m**2 + 40*m + 96.
4*(m + 4)*(m + 6)
Find r, given that 9*r**4/7 - 30*r**3/7 + 27*r**2/7 - 6*r/7 = 0.
0, 1/3, 1, 2
Factor -11*i**2/2 - 3*i/2.
-i*(11*i + 3)/2
Factor -3*l**4 - 147*l**3 - 1719*l**2 + 2175*l + 3750.
-3*(l - 2)*(l + 1)*(l + 25)**2
Solve -1058*o**3/5 - 38226*o**2/5 + 6768*o - 1480 = 0.
-37, 10/23
Factor 4*m**3 - 28*m**2 - 68*m - 36.
4*(m - 9)*(m + 1)**2
Factor -4*o**2 - 427*o + 107.
-(o + 107)*(4*o - 1)
Factor -2*f**2/7 - 482*f/7.
-2*f*(f + 241)/7
Determine b so that -6*b**2/5 - 26*b - 40 = 0.
-20, -5/3
Let i**3/4 - 67*i**2/4 + 131*i/4 - 65/4 = 0. What is i?
1, 65
Determine i, given that 2*i**4/5 - 952*i**3/5 + 152604*i**2/5 - 8479256*i/5 + 7739786 = 0.
5, 157
Factor u**4 - 46*u**3 + 205*u**2.
u**2*(u - 41)*(u - 5)
Let -o**4/3 + 6*o**2 + 32*o/3 + 5 = 0. Calculate o.
-3, -1, 5
What is y in 1500*y**3 - 1400*y**2 + 435*y - 45 = 0?
3/10, 1/3
Find v, given that 3*v**3 - 111*v**2 + 492*v - 384 = 0.
1, 4, 32
Suppose 4*f**2 + 29*f + 7 = 0. Calculate f.
-7, -1/4
Determine q, given that 3*q**3 + 207*q**2 + 405*q + 201 = 0.
-67, -1
Factor -3*n**2 + 30*n + 168.
-3*(n - 14)*(n + 4)
Factor -4*y**4 + 108*y**3 - 104*y**2.
-4*y**2*(y - 26)*(y - 1)
Solve 3*s**4 - 87*s**3 + 84*s**2 = 0 for s.
0, 1, 28
Suppose 4*a**3 + 20*a**2 = 0. What is a?
-5, 0
Factor 4*y**2 + 688*y - 2100.
4*(y - 3)*(y + 175)
Factor -z**3/7 + 328*z**2/7 - 27540*z/7 + 104976/7.
-(z - 162)**2*(z - 4)/7
Let -2*a**3/5 + 22*a**2/5 + 1586*a/5 + 12506/5 = 0. Calculate a.
-13, 37
Solve -2*w**2 + 9*w - 4 = 0 for w.
1/2, 4
Determine h, given that 2*h**3 - 12*h**2 - 126*h + 784 = 0.
-8, 7
Determine t, given that 2*t**5/7 + 8*t**4/7 - 6*t**3/7 - 68*t**2/7 - 104*t/7 - 48/7 = 0.
-2, -1, 3
Factor -5*w**5 - 70*w**4 - 180*w**3 - 170*w**2 - 55*w.
-5*w*(w + 1)**3*(w + 11)
What is a in 10*a**4/7 + 186*a**3/7 + 914*a**2/7 + 414*a/7 - 324/7 = 0?
-9, -1, 2/5
Solve 12*c**3/7 - 195*c**2/7 + 624*c/7 - 144/7 = 0.
1/4, 4, 12
Factor -h**4/6 + 4