5.
4*t*(111*t + 1)/5
Suppose 6*u**5 + 22*u**4 - 84*u**3 + 8*u**2 + 48*u = 0. Calculate u.
-6, -2/3, 0, 1, 2
Suppose -2*q**3/3 - 60*q**2 - 382*q + 1328/3 = 0. Calculate q.
-83, -8, 1
Factor t**4/3 - 121*t**3/3 + 40*t**2.
t**2*(t - 120)*(t - 1)/3
Determine j, given that 2*j**2/7 + 10*j + 300/7 = 0.
-30, -5
Let b**3/5 - 14*b**2/5 + 59*b/5 - 14 = 0. Calculate b.
2, 5, 7
Factor d**3 + 639*d**2 + 136107*d + 9663597.
(d + 213)**3
Factor -y**2/6 + 5*y/6 + 7/3.
-(y - 7)*(y + 2)/6
Determine r, given that -2*r**4 + 16*r**3 + 2*r**2 - 16*r = 0.
-1, 0, 1, 8
Factor 22707*g**4/5 - 8874*g**3 + 20631*g**2/5 + 204*g + 12/5.
3*(g - 1)**2*(87*g + 2)**2/5
Determine m so that -m**3 - 16*m**2 + m + 16 = 0.
-16, -1, 1
Let 4*p**2 - 1420*p - 7200 = 0. What is p?
-5, 360
Solve -90*x**5 + 135*x**4 + 55*x**3 - 145*x**2 + 35*x + 10 = 0 for x.
-1, -1/6, 2/3, 1
Factor -2*k**2 - 18*k + 72.
-2*(k - 3)*(k + 12)
Determine f so that -2*f**4/7 - 72*f**3/7 + 486*f**2/7 - 108*f = 0.
-42, 0, 3
Find a such that -3*a**5 - 101*a**4 - 930*a**3 - 1344*a**2 - 512*a = 0.
-16, -1, -2/3, 0
Factor m**2 - 3688*m + 3400336.
(m - 1844)**2
Find z, given that -z**4 + 5*z**3 - 7*z**2 + 3*z = 0.
0, 1, 3
Let -4*y**4 + 40*y**2 - 36 = 0. What is y?
-3, -1, 1, 3
Factor 2*n**3/5 - 58*n**2/5 + 448*n/5 - 392/5.
2*(n - 14)**2*(n - 1)/5
Factor j**4/3 + 79*j**3/3 + 627*j**2 + 18029*j/3 + 61226/3.
(j + 11)**3*(j + 46)/3
Factor l**4 + 33*l**3/5 + 16*l**2/5 - 12*l/5.
l*(l + 1)*(l + 6)*(5*l - 2)/5
Determine s, given that -4*s**5 - 160*s**4 - 156*s**3 + 35152*s**2 + 35152*s = 0.
-26, -1, 0, 13
Determine a, given that -7*a**5/3 - 4*a**4 + 263*a**3/3 - 216*a**2 + 500*a/3 - 32 = 0.
-8, 2/7, 1, 2, 3
Factor 3*z**2/2 + 273*z + 3675/2.
3*(z + 7)*(z + 175)/2
Factor -9*l**3 - 39*l**2 + 84*l - 36.
-3*(l - 1)*(l + 6)*(3*l - 2)
Find u such that -4*u**4/5 + 26*u**3/5 = 0.
0, 13/2
Factor -3*x**2 - 57*x - 102.
-3*(x + 2)*(x + 17)
Factor 35*k**3 - 780*k**2 - 585*k + 230.
5*(k - 23)*(k + 1)*(7*k - 2)
Factor -k**3/6 - 11*k**2/6 + 8*k/3 + 160/3.
-(k - 5)*(k + 8)**2/6
Suppose 4*q**4 + 4728*q**3 - 4732*q**2 = 0. Calculate q.
-1183, 0, 1
Factor 4*h**4/5 + 32*h**3 + 2016*h**2/5 + 6272*h/5 - 21952/5.
4*(h - 2)*(h + 14)**3/5
Solve -q**4/2 - 1598*q**3 - 1915203*q**2 - 1020164798*q - 407555836801/2 = 0 for q.
-799
Find l, given that -l**3/6 + 17*l**2/3 + 37*l/2 = 0.
-3, 0, 37
Factor 3*k**2 - 144*k + 405.
3*(k - 45)*(k - 3)
Factor 4*y**4 - 380*y**3 - 1164*y**2 - 1172*y - 392.
4*(y - 98)*(y + 1)**3
Factor -t**2/2 - 813*t/2.
-t*(t + 813)/2
Factor 5*y**2/3 + 512*y/3 + 68.
(y + 102)*(5*y + 2)/3
Factor 4*o**3 - 140*o**2 - 608*o - 624.
4*(o - 39)*(o + 2)**2
Factor a**5/4 + 45*a**4/4 + 42*a**3 + 41*a**2.
a**2*(a + 2)**2*(a + 41)/4
Factor 2*p**2/7 + 3228*p/7 + 1302498/7.
2*(p + 807)**2/7
Suppose -o**3/4 + 43*o**2/2 + 271*o/4 - 89 = 0. What is o?
-4, 1, 89
Factor 5*a**4 - 85*a**3 - 290*a**2 - 200*a.
5*a*(a - 20)*(a + 1)*(a + 2)
Factor 10*k**4 - 25*k**3 + 10*k**2.
5*k**2*(k - 2)*(2*k - 1)
Solve 2*b**4/11 + 2*b**3/11 - 12*b**2/11 = 0 for b.
-3, 0, 2
Let 4*r**4/5 + 216*r**3 - 6588*r**2/5 + 1984*r - 4416/5 = 0. Calculate r.
-276, 1, 4
Factor r**2 + 861*r - 2592.
(r - 3)*(r + 864)
Determine r so that -r**5/6 - r**4 + 17*r**3/3 - 28*r**2/3 + 13*r/2 - 5/3 = 0.
-10, 1
Let 2*x**4 + 202*x**3 + 1140*x**2 = 0. Calculate x.
-95, -6, 0
Find t such that 4*t**3/5 - 92*t**2/5 - 1536*t/5 - 1008 = 0.
-6, 35
Solve 3*t**4 + 12*t**3 + 3*t**2 - 18*t = 0 for t.
-3, -2, 0, 1
Let 10*n**2 - 385*n + 3600 = 0. Calculate n.
16, 45/2
Factor q**4 + 40*q**3 + 149*q**2 + 182*q + 72.
(q + 1)**2*(q + 2)*(q + 36)
Find d such that 8*d**3 - 172*d**2 - 368*d - 188 = 0.
-1, 47/2
Let 3*x**3 + 6*x**2 + 3*x = 0. What is x?
-1, 0
Find l such that 4*l**3 - 52*l**2 - 560*l = 0.
-7, 0, 20
Factor -2*h**2/5 - 36*h/5 - 34/5.
-2*(h + 1)*(h + 17)/5
Find n such that 3*n**3/5 + 696*n**2/5 + 276*n = 0.
-230, -2, 0
Suppose 5*p**4 + 265*p**3 + 1410*p**2 - 160*p - 7520 = 0. Calculate p.
-47, -4, 2
Factor 3*y**2/4 + 93*y/4 - 24.
3*(y - 1)*(y + 32)/4
Find k, given that 3*k**2 - 243*k + 3264 = 0.
17, 64
Determine k so that -k**2/6 + 20*k - 600 = 0.
60
Factor 5*s**4 - 140*s**3 + 265*s**2 - 130*s.
5*s*(s - 26)*(s - 1)**2
Factor -2*y**4/7 + 76*y**3/7 - 122*y**2/7 - 11400*y/7 - 45000/7.
-2*(y - 25)**2*(y + 6)**2/7
Factor 4*m**2/9 + 20*m/9 - 104.
4*(m - 13)*(m + 18)/9
Solve -2*t**3/9 + 4198*t**2/9 - 8390*t/9 + 466 = 0 for t.
1, 2097
Solve -5*s**4 - 95*s**3 + 880*s**2 - 780*s = 0 for s.
-26, 0, 1, 6
Let 2*g**5/7 + 16*g**4/7 + 46*g**3/7 + 8*g**2 + 24*g/7 = 0. What is g?
-3, -2, -1, 0
Suppose -3*r**3 + 6*r**2 + 108*r - 216 = 0. What is r?
-6, 2, 6
Factor 6*u**2/13 - 1078*u/13 - 360/13.
2*(u - 180)*(3*u + 1)/13
Factor -p**4/8 + 3*p**3/8 - p**2/4.
-p**2*(p - 2)*(p - 1)/8
Factor -2*i**3/13 + 14*i**2/13 - 14*i/13 - 30/13.
-2*(i - 5)*(i - 3)*(i + 1)/13
Let 2*a**3/3 - 8*a**2/3 - 2*a + 12 = 0. What is a?
-2, 3
Factor -3*h**4 + 189*h**3 - 171*h**2 - 921*h - 558.
-3*(h - 62)*(h - 3)*(h + 1)**2
Find i, given that 2*i**4 + 38*i**3 + 34*i**2 - 38*i - 36 = 0.
-18, -1, 1
Find z such that 4*z**2 + 2072*z + 268324 = 0.
-259
Factor -3*l**4/4 - 471*l**3/2 + 1893*l**2/4 - 237*l.
-3*l*(l - 1)**2*(l + 316)/4
Factor a**5/6 + 13*a**4/6 + 11*a**3 + 27*a**2 + 63*a/2 + 27/2.
(a + 1)*(a + 3)**4/6
Find a such that -8*a**4 - 4*a**3 + 100*a**2 - 48*a = 0.
-4, 0, 1/2, 3
Suppose -2*p**5/5 + 42*p**4/5 - 34*p**3 - 90*p**2 + 1252*p/5 - 672/5 = 0. Calculate p.
-3, 1, 8, 14
Factor 3*q**2/4 - 63*q - 255/4.
3*(q - 85)*(q + 1)/4
Factor -3*s**2 + 345*s + 1062.
-3*(s - 118)*(s + 3)
Factor 3*k**4/2 - 39*k**3 - 3*k**2/2 + 39*k.
3*k*(k - 26)*(k - 1)*(k + 1)/2
Solve 2*l**4/11 - 2*l**2/11 = 0.
-1, 0, 1
What is n in 5*n**5/4 + 5*n**4 + 25*n**3/4 + 5*n**2/2 = 0?
-2, -1, 0
Solve -16*o**4 - 556*o**3 + 1308*o**2 - 884*o + 148 = 0.
-37, 1/4, 1
Factor 2*k**5/17 - 52*k**4/17 + 530*k**3/17 - 2648*k**2/17 + 6496*k/17 - 6272/17.
2*(k - 7)**2*(k - 4)**3/17
Solve -70*z**4 + 55*z**3 + 15*z**2 = 0.
-3/14, 0, 1
Let -2*x**3/11 - 2*x**2/11 + 18*x/11 + 18/11 = 0. Calculate x.
-3, -1, 3
Factor q**5 + 18*q**4 + 16*q**3 - 18*q**2 - 17*q.
q*(q - 1)*(q + 1)**2*(q + 17)
Factor -5*l**3/6 - 95*l**2/3 - 185*l/6.
-5*l*(l + 1)*(l + 37)/6
Let 2*i**3/5 + 116*i**2/5 - 3278*i/5 + 3872 = 0. What is i?
-80, 11
Factor -81*p**2/4 + 21*p - 3/4.
-3*(p - 1)*(27*p - 1)/4
Find v such that -2*v**2/7 - 736*v/7 = 0.
-368, 0
Factor -2*p**2/11 + 2*p.
-2*p*(p - 11)/11
What is k in -5*k**4 + 30*k**3 - 15*k**2 - 50*k = 0?
-1, 0, 2, 5
Determine f so that 2*f**5 - 576*f**4 + 1144*f**3 + 4*f**2 - 1146*f + 572 = 0.
-1, 1, 286
Suppose -21*l**3/4 - 675*l**2/2 - 4227*l/4 - 549/2 = 0. Calculate l.
-61, -3, -2/7
Suppose 3*n**4/7 + 9*n**3/7 + 6*n**2/7 = 0. Calculate n.
-2, -1, 0
Factor -5*o**2 - 165*o - 310.
-5*(o + 2)*(o + 31)
Determine v so that -v**5/5 - 6*v**4/5 + 26*v**3/5 - 12*v**2/5 - 5*v + 18/5 = 0.
-9, -1, 1, 2
Determine s so that 4*s**5/11 + 3470*s**4/11 - 12180*s**3/11 + 12190*s**2/11 - 3484*s/11 = 0.
-871, 0, 1/2, 1, 2
Factor 3*q**4 - 12*q**3 - 54*q**2 - 60*q - 21.
3*(q - 7)*(q + 1)**3
Factor 3*h**3 + 36*h**2 - 39*h.
3*h*(h - 1)*(h + 13)
Factor -d**3/3 - 35*d**2/3 - 34*d/3.
-d*(d + 1)*(d + 34)/3
Factor -2*p**3/5 + 42*p**2/5 - 112*p/5 + 72/5.
-2*(p - 18)*(p - 2)*(p - 1)/5
Factor -3*h**2 + 6786*h - 3837483.
-3*(h - 1131)**2
Factor -l**3/5 + 2*l**2/5 + 64*l/5 + 32.
-(l - 10)*(l + 4)**2/5
Find g, given that 7*g**5 - 12*g**4 - 109*g**3 - 30*g**2 = 0.
-3, -2/7, 0, 5
Solve -3*s**4 - 21*s**3 - 54*s**2 - 60*s - 24 = 0 for s.
-2, -1
Determine d so that 2*d**4/3 - 22*d**3/3 + 26*d**2 - 30*d = 0.
0, 3, 5
Factor -26*x**3 - 192*x**2 - 54*x + 112.
-2*(x + 1)*(x + 7)*(13*x - 8)
Let 4*y**5/3 - 16*y**4/3 - 16*y**3 + 128*y**2/3 + 256*y/3 = 0. Calculate y.
-2, 0, 4
Let u**3/5 - 43*u**2/5 - 89*u/5 - 9 = 0. Calculate u.
-1, 45
Factor 4*n**3 - 64*n**2 + 220*n.
4*n*(n - 11)*(n - 5)
What is b in -5*b**4 - 45*b**3 - 135*b**2 - 155*b - 60 = 0?
-4, -3, -1
Factor -l**3/3 + 52*l**2/3 - 231*l + 918.
-(l - 34)*(l - 9)**2/3
Factor 3*o**5 - 3*o**4 - 15*o**3 + 3*o**2 + 24*o + 12.
3*(o - 2)**2*(o + 1)**3
Determine p, given that -3*p**3 - 12*p**2 + 57*p - 42 = 0.
-7, 1, 2
Determine y, given that -y**3/3 + 2*y**2 - 5*y/3 = 0.
0, 1, 5
Factor 3*y**3/5 + 24*y**2/5 + 51*y/5 + 6.
3*(y + 1)*(y + 2)*(y + 5)/5
Factor -10*y**3 - 5*y**2 + 55*y + 50.
-5*(y 