at -3*o**5 - 21*o**4 + 9*o**3 + 165*o**2 - 150*o = 0.
-5, 0, 1, 2
Factor 15*p**2/2 + 102*p + 117/2.
3*(p + 13)*(5*p + 3)/2
Factor -3*o**3 - 27*o**2.
-3*o**2*(o + 9)
Solve 2*k**3 + 54*k**2 + 390*k + 338 = 0 for k.
-13, -1
Solve -17*m**5 + 256*m**4 - 1542*m**3 + 4644*m**2 - 6993*m + 4212 = 0.
3, 52/17
Factor -h**3/5 - 129*h**2/5.
-h**2*(h + 129)/5
Factor 11*s**3/9 - 74*s**2/3 + 380*s/3 - 200/9.
(s - 10)**2*(11*s - 2)/9
Let 14*g**4/5 - 48*g**3/5 - 46*g**2/5 + 48*g/5 + 32/5 = 0. Calculate g.
-1, -4/7, 1, 4
Suppose 3*w**2/8 - 27/8 = 0. Calculate w.
-3, 3
Let 4*g**3 + 472*g**2 - 1972*g - 2440 = 0. Calculate g.
-122, -1, 5
Suppose -5*u**2 + 3170*u - 502445 = 0. Calculate u.
317
Factor g**4 - 83*g**3 + 2268*g**2 - 19600*g - 21952.
(g - 28)**3*(g + 1)
Factor 3*u**5 + 3*u**4 - 3*u**3 - 3*u**2.
3*u**2*(u - 1)*(u + 1)**2
Find d such that d**2 + 133*d + 262 = 0.
-131, -2
Let 3*z**4/7 + 57*z**3/7 + 102*z**2/7 = 0. Calculate z.
-17, -2, 0
Solve -2*p**2 + 2208*p - 609408 = 0.
552
Factor -r**5/3 + 17*r**4/3 - 80*r**3/3 + 64*r**2/3.
-r**2*(r - 8)**2*(r - 1)/3
Let -3*m**5/2 + 27*m**4/2 - 45*m**3 + 69*m**2 - 99*m/2 + 27/2 = 0. Calculate m.
1, 3
What is i in -2*i**2/5 + 10*i - 312/5 = 0?
12, 13
Factor 49*t**3/5 + 42*t**2 - 132*t/5 - 968/5.
(t - 2)*(7*t + 22)**2/5
Solve 5*l**3 + 170*l**2 - 1725*l - 1890 = 0 for l.
-42, -1, 9
Factor 5*b**3/4 - 14*b**2 + 185*b/4 - 75/2.
(b - 5)**2*(5*b - 6)/4
Factor -3*q**3 + 36*q - 48.
-3*(q - 2)**2*(q + 4)
Find o such that 4*o**3 + 180*o**2 + 176*o = 0.
-44, -1, 0
Factor -g**4 + 158*g**3 + g**2 - 158*g.
-g*(g - 158)*(g - 1)*(g + 1)
Factor -w**4 + 15*w**3 - 37*w**2 - 123*w - 70.
-(w - 10)*(w - 7)*(w + 1)**2
Let 3*p**4/5 + 118*p**3/5 + 147*p**2/5 - 192*p/5 - 76/5 = 0. What is p?
-38, -2, -1/3, 1
What is i in 3*i**4/7 - 723*i**3/7 + 58320*i**2/7 - 1593600*i/7 + 1536000/7 = 0?
1, 80
What is i in -5*i**4 + 35*i**3 + 15*i**2 - 115*i + 70 = 0?
-2, 1, 7
Determine a, given that 3*a**4/7 - 16*a**3/7 + 15*a**2/7 + 6*a/7 - 8/7 = 0.
-2/3, 1, 4
Factor 2*u**5 + 10*u**4 - 6*u**3 - 26*u**2 + 20*u.
2*u*(u - 1)**2*(u + 2)*(u + 5)
What is q in 5*q**2 - 50380*q + 126907220 = 0?
5038
What is d in -15*d**3 + 204*d**2 - 651*d - 294 = 0?
-2/5, 7
Factor -j**3 + 49*j**2 - 267*j + 387.
-(j - 43)*(j - 3)**2
Let 2*u**3/9 + 82*u**2/9 + 704*u/9 - 968/3 = 0. What is u?
-22, 3
Solve 3*k**4 - 111*k**3 + 315*k**2 - 309*k + 102 = 0 for k.
1, 34
Find w, given that -2*w**3/7 + 44*w**2/7 - 206*w/7 - 36 = 0.
-1, 9, 14
Factor -2*v**3/15 - 116*v**2/15 - 88*v/3 - 144/5.
-2*(v + 2)**2*(v + 54)/15
Let 2*v**4 + 2064*v**3 + 798768*v**2 + 137388096*v + 8861532192 = 0. What is v?
-258
Find i, given that -5*i**4 - 195*i**3 - 695*i**2 + 195*i + 700 = 0.
-35, -4, -1, 1
Factor 16*a**4 + 52*a**3 + 56*a**2 + 20*a.
4*a*(a + 1)**2*(4*a + 5)
Let -4*a**2 + 24*a + 108 = 0. Calculate a.
-3, 9
Factor -2*v**2/7 - 660*v/7 + 1328/7.
-2*(v - 2)*(v + 332)/7
Solve -2*j**4/9 + 158*j**3/9 - 510*j**2 + 58378*j/9 - 275128/9 = 0 for j.
17, 28
Find u, given that -3*u**5 - 6*u**4 + 18*u**3 + 12*u**2 - 39*u + 18 = 0.
-3, -2, 1
Factor h**3/6 + 7*h**2/2 + 13*h/2 + 19/6.
(h + 1)**2*(h + 19)/6
Let 2*k**5/3 - 47*k**4/6 + 28*k**3 - 155*k**2/6 - 25*k/3 = 0. What is k?
-1/4, 0, 2, 5
Find v such that 27*v**3/2 + 45*v**2/2 - 12*v - 24 = 0.
-4/3, 1
Suppose 8*d**3/5 - 286*d**2 - 1798*d/5 - 72 = 0. What is d?
-1, -1/4, 180
Factor 3*m**5 - 21*m**4 + 24*m**3 + 48*m**2.
3*m**2*(m - 4)**2*(m + 1)
Factor -x**2 + 42*x + 43.
-(x - 43)*(x + 1)
Suppose p**3 - 6*p**2 = 0. What is p?
0, 6
What is v in -v**4/5 + 29*v**3/5 - 263*v**2/5 + 191*v - 240 = 0?
3, 5, 16
Solve -f**2 - 16*f - 39 = 0 for f.
-13, -3
Factor -3*p**4/4 + 83*p**3/2 + 28*p**2.
-p**2*(p - 56)*(3*p + 2)/4
Factor -2*a**5/11 + 4*a**4/11 + 8*a**3/11 - 16*a**2/11.
-2*a**2*(a - 2)**2*(a + 2)/11
Find l, given that 4*l**4 + 8*l**3 - 48*l**2 + 56*l - 20 = 0.
-5, 1
Factor -2*g**5/3 - 48*g**4 - 1100*g**3 - 20000*g**2/3 + 31250*g.
-2*g*(g - 3)*(g + 25)**3/3
Factor 4*c**4/3 + 3088*c**3/3.
4*c**3*(c + 772)/3
What is d in d**4/3 + 10*d**3/3 - 4*d**2 - 10*d/3 + 11/3 = 0?
-11, -1, 1
Let -4*y**5 + 2292*y**4 - 4568*y**3 - 8*y**2 + 4572*y - 2284 = 0. Calculate y.
-1, 1, 571
Factor z**5/4 - 9*z**3/4 - z**2 + 3*z.
z*(z - 3)*(z - 1)*(z + 2)**2/4
Let -u**4 - 18*u**3 - 9*u**2 + 648*u - 1296 = 0. Calculate u.
-12, 3
What is j in -4*j**2 + 352*j + 356 = 0?
-1, 89
Factor -8*s**2/3 - 11*s - 4/3.
-(s + 4)*(8*s + 1)/3
Find b, given that -5*b**5 + 7*b**4 + 6*b**3 - 10*b**2 - b + 3 = 0.
-1, -3/5, 1
Suppose -3*o**4/8 + 15*o**3/8 + 21*o**2/8 - 15*o/8 - 9/4 = 0. What is o?
-1, 1, 6
What is n in -3*n**2 - 195*n + 402 = 0?
-67, 2
Factor s**2/5 + 1062*s/5 + 281961/5.
(s + 531)**2/5
Factor -4*m**5 + 8*m**4 + 28*m**3 + 16*m**2.
-4*m**2*(m - 4)*(m + 1)**2
Factor l**3/4 - 29*l**2/2 + 55*l - 54.
(l - 54)*(l - 2)**2/4
Solve 5*h**3 - 5*h**2 - 5*h + 5 = 0 for h.
-1, 1
Factor 3*x**2/5 + 21*x/5 + 18/5.
3*(x + 1)*(x + 6)/5
Solve 2*w**3/9 + 184*w**2/3 + 4576*w + 46464 = 0.
-132, -12
Suppose 2*h**3/9 + 128*h**2/9 - 1298*h/9 + 1168/9 = 0. Calculate h.
-73, 1, 8
Factor 4*n**5 - 4*n**4 - 4*n**3 + 4*n**2.
4*n**2*(n - 1)**2*(n + 1)
Let -2*d**4/5 - 256*d**3/5 - 8444*d**2/5 - 16128*d/5 - 7938/5 = 0. What is d?
-63, -1
What is x in 5*x**2 + 395*x + 2190 = 0?
-73, -6
Find x such that -2*x**3 - 14*x**2 - 30*x - 18 = 0.
-3, -1
Factor 4*c**2 - 5164*c + 5160.
4*(c - 1290)*(c - 1)
Factor -2*d**3 + 430*d**2 - 23326*d + 22898.
-2*(d - 107)**2*(d - 1)
Find o such that 6*o**2/17 - 776*o/17 + 258/17 = 0.
1/3, 129
Find x such that 18*x**2/11 - 734*x/11 - 164/11 = 0.
-2/9, 41
Determine c, given that -12*c**2 + 399*c - 99 = 0.
1/4, 33
Find x, given that -x**4/3 - 4*x**3 + x**2 + 38*x/3 + 8 = 0.
-12, -1, 2
Factor -c**4/7 - 48*c**3/7 - 138*c**2/7 - 136*c/7 - 45/7.
-(c + 1)**3*(c + 45)/7
Find w such that -432*w**5 + 1128*w**4 - 1011*w**3 + 369*w**2 - 57*w + 3 = 0.
1/9, 1/4, 1
Factor 3*b**3 + 1389*b**2 + 160080*b - 161472.
3*(b - 1)*(b + 232)**2
Factor 8*u**4 + 6*u**3 - 42*u**2 + 34*u - 6.
2*(u - 1)**2*(u + 3)*(4*u - 1)
Suppose 8*c**2 - 330*c + 82 = 0. Calculate c.
1/4, 41
Solve 2*v**4/5 - 24*v**3/5 + 108*v**2/5 - 216*v/5 + 162/5 = 0.
3
Factor 2*t**2/7 + 8*t/7 + 8/7.
2*(t + 2)**2/7
Factor 3*t**3 + 168*t**2 + 2967*t + 15870.
3*(t + 10)*(t + 23)**2
Factor 5*q**3 + 80*q**2 - 195*q - 270.
5*(q - 3)*(q + 1)*(q + 18)
Factor 2*y**3 - 72*y**2 + 70*y.
2*y*(y - 35)*(y - 1)
Solve -s**2/10 + 1379*s/5 - 1901641/10 = 0 for s.
1379
Solve -2*h**5 + 10*h**4 + 6*h**3 - 82*h**2 + 116*h - 48 = 0.
-3, 1, 2, 4
Factor 3*c**4 - 84*c**3 + 753*c**2 - 1860*c - 2700.
3*(c - 10)**2*(c - 9)*(c + 1)
Factor -w**4 + 5*w**3 + w**2 - 5*w.
-w*(w - 5)*(w - 1)*(w + 1)
Let s**5/4 + 39*s**4/4 - 791*s**3/2 + 9163*s**2/2 - 89523*s/4 + 160867/4 = 0. What is s?
-67, 7
Suppose u**4 - 29*u**3 + 224*u**2 - 196*u = 0. What is u?
0, 1, 14
Factor -2*c**2/13 + 2*c.
-2*c*(c - 13)/13
Suppose a**3 - 16*a**2 - 23*a + 102 = 0. What is a?
-3, 2, 17
Determine y, given that -8*y**4 + 44*y**3 - 16*y**2 - 20*y = 0.
-1/2, 0, 1, 5
Factor -t**2/5 - 63*t/5.
-t*(t + 63)/5
Factor x**4/9 - 22*x**3/9 + 13*x**2.
x**2*(x - 13)*(x - 9)/9
Solve -3*z**2 + 25*z/3 + 2 = 0.
-2/9, 3
Factor 2*z**3/11 + 26*z**2/11 + 10*z + 150/11.
2*(z + 3)*(z + 5)**2/11
Factor i**5/7 - 405*i**4/7 + 7868*i**3 - 2568512*i**2/7 + 7326048*i/7 - 4812208/7.
(i - 134)**3*(i - 2)*(i - 1)/7
Factor -8*u**2/15 + 26*u/15 - 6/5.
-2*(u - 1)*(4*u - 9)/15
Suppose 2*a**3 - 160*a**2 + 296*a + 1248 = 0. What is a?
-2, 4, 78
Let 10*o**5 + 162*o**4 - 722*o**3/5 - 674*o**2/5 + 672*o/5 - 136/5 = 0. Calculate o.
-17, -1, 2/5, 1
Factor -m**3/4 + 3*m/4 + 1/2.
-(m - 2)*(m + 1)**2/4
Suppose 4*y**5/5 - 16*y**3/5 - 8*y**2/5 + 12*y/5 + 8/5 = 0. What is y?
-1, 1, 2
Factor -5*j**2/6 - 25*j/6 - 10/3.
-5*(j + 1)*(j + 4)/6
Factor -2*v**2 - 34*v + 36.
-2*(v - 1)*(v + 18)
Determine r, given that 14*r**3 + 18*r**2 - 24*r - 8 = 0.
-2, -2/7, 1
Determine w so that 4*w**3/7 + 8*w**2/7 - 116*w/7 - 120/7 = 0.
-6, -1, 5
Factor 4*f**4 - 508*f**3 + 16864*f**2 - 46128*f.
4*f*(f - 62)**2*(f - 3)
Suppose 3*s**2 + 5337*s + 5334 = 0. Calculate s.
-1778, -1
Find b such that -2*b**5 + 18*b**4 - 46*b**3 + 22*b**2 + 48*b - 40 = 0.
-1, 1, 2, 5
Factor -y**3/3 - 26*y**2/3 + 4*y/3 + 104/3.
-(y - 2)*(y + 2)*(y + 26)/3
Factor -4*u**2 + 358*u - 528.
-2*(u - 88)*(2*u - 3)
Factor 2*z**3/13 - 6244