h that -2*x**4 - 32*x**3 - 28*x**2 + 32*x + 30 = 0.
-15, -1, 1
Determine v, given that -v**4 - 23*v**3/4 + 3*v**2/2 + 32*v - 8 = 0.
-4, 1/4, 2
Suppose -2*f**4 - 8*f**3 + 4*f**2 + 24*f - 18 = 0. What is f?
-3, 1
Suppose -4*x**4 - 644*x**3 = 0. What is x?
-161, 0
Solve k**2 - 11*k + 24 = 0 for k.
3, 8
Factor -l**2/3 - 13*l + 40/3.
-(l - 1)*(l + 40)/3
Factor 5*v**3/2 + 69*v**2/2 + 231*v/2 - 49/2.
(v + 7)**2*(5*v - 1)/2
Solve c**2/3 + 24*c + 140/3 = 0.
-70, -2
What is d in 32*d**5/7 + 176*d**4 + 12146*d**3/7 + 5246*d**2/7 - 4978*d/7 + 722/7 = 0?
-19, -1, 1/4
Factor o**3/6 + o**2/2 + o/3.
o*(o + 1)*(o + 2)/6
Factor -4*l**2 + 4*l + 8.
-4*(l - 2)*(l + 1)
Suppose -2*i**4 - 14*i**3 + 56*i**2 - 40*i = 0. Calculate i.
-10, 0, 1, 2
Suppose 3*t**2 - 69*t + 126 = 0. Calculate t.
2, 21
Factor 5*b**4 + 610*b**3 + 600*b**2 - 610*b - 605.
5*(b - 1)*(b + 1)**2*(b + 121)
Let 2*v**3 + 657*v**2/4 + 6765*v/2 + 1681/4 = 0. Calculate v.
-41, -1/8
Factor -4*o**2 - 52*o - 120.
-4*(o + 3)*(o + 10)
Solve u**4/2 + 5*u**3/6 - 29*u**2/6 - 15*u/2 + 3 = 0.
-3, -2, 1/3, 3
Solve 7*y**2/5 + 15*y - 22/5 = 0.
-11, 2/7
Factor -l**2 - 2628*l - 1726596.
-(l + 1314)**2
Suppose -c**5 + 53*c**4 - 199*c**3 + 147*c**2 = 0. Calculate c.
0, 1, 3, 49
Let -3*w**2/5 - 528*w/5 - 23232/5 = 0. Calculate w.
-88
Find h such that -2*h**4/5 - 48*h**3/5 - 132*h**2/5 - 128*h/5 - 42/5 = 0.
-21, -1
Solve -4*o**4 + 224*o**3 - 1056*o**2 - 7040*o - 8000 = 0.
-2, 10, 50
Factor 2*p**3/7 + 1108*p**2/7 + 1102*p/7 - 316.
2*(p - 1)*(p + 2)*(p + 553)/7
Factor t**3 - 80*t**2 - 81*t.
t*(t - 81)*(t + 1)
Factor -2*c**2 - 10*c + 48.
-2*(c - 3)*(c + 8)
Factor -2*m**5/9 - 16*m**4/9 + 2*m**3.
-2*m**3*(m - 1)*(m + 9)/9
Factor 3*n**2 + 12*n + 12.
3*(n + 2)**2
Determine y so that 3203226*y**3/5 - 164268*y**2/5 + 2808*y/5 - 16/5 = 0.
2/117
Let -1849*u**2/8 - 43*u/2 - 1/2 = 0. What is u?
-2/43
Factor -2*q**2 + 40*q - 200.
-2*(q - 10)**2
Factor -2*i**2/15 + 112*i/15.
-2*i*(i - 56)/15
Factor -5*y**2 + 1815*y.
-5*y*(y - 363)
Factor -2*l**5 + 2*l**4 + 10*l**3 + 6*l**2.
-2*l**2*(l - 3)*(l + 1)**2
Factor c**4/9 + c**3/3 - 2*c**2/9 - 4*c/3 - 8/9.
(c - 2)*(c + 1)*(c + 2)**2/9
Determine a, given that -a**2 - 12*a - 20 = 0.
-10, -2
Determine q so that 2*q**4/5 - 2*q**3/5 - 2*q**2/5 + 2*q/5 = 0.
-1, 0, 1
Let -36*k**4 + 560*k**3 - 2516*k**2 + 2296*k + 1568 = 0. What is k?
-4/9, 2, 7
Factor 27*p**3 + 54*p**2 + 36*p + 8.
(3*p + 2)**3
Factor f**3/3 - 14*f**2/3 - 49*f/3 - 34/3.
(f - 17)*(f + 1)*(f + 2)/3
What is f in -8*f**5/7 - 38*f**4/7 - 2*f**3 + 78*f**2/7 - 18*f/7 = 0?
-3, 0, 1/4, 1
Find r such that -4*r**4 - 4*r**3 + 4*r**2 + 4*r = 0.
-1, 0, 1
Let -3*i**5 - 6*i**4 + 15*i**3 + 30*i**2 - 12*i - 24 = 0. What is i?
-2, -1, 1, 2
Factor -2*f**2/3 + 296*f/3 - 10952/3.
-2*(f - 74)**2/3
Factor -4*g**3 - 56*g**2 - 140*g - 88.
-4*(g + 1)*(g + 2)*(g + 11)
Find a, given that -4*a**5/7 + 32*a**4/7 + 232*a**3/7 + 352*a**2/7 + 156*a/7 = 0.
-3, -1, 0, 13
Factor 15*d**4 - 125*d**3 + 270*d**2 - 60*d - 200.
5*(d - 5)*(d - 2)**2*(3*d + 2)
Solve 5*i**3 + 50*i**2 + 95*i - 150 = 0.
-6, -5, 1
What is g in -2*g**4/3 - 836*g**3/3 - 39192*g**2 - 1904400*g - 7008192 = 0?
-138, -4
Determine l, given that -l**2/6 + 155*l/2 - 232/3 = 0.
1, 464
Determine m, given that -2*m**2/5 - 1462*m/5 + 1464/5 = 0.
-732, 1
Determine q, given that 5*q**5 + 70*q**4 - 1255*q**3 - 18580*q**2 - 76880*q - 103360 = 0.
-19, -4, 17
Factor k**4/3 + 17*k**3 - 53*k**2/3 - 17*k + 52/3.
(k - 1)**2*(k + 1)*(k + 52)/3
Factor 3*m**2 + 888*m.
3*m*(m + 296)
Suppose 3*s**4 + 24*s**3 + 33*s**2 - 24*s - 36 = 0. Calculate s.
-6, -2, -1, 1
Find c such that -2*c**3/3 - 2*c**2/3 + 14*c + 30 = 0.
-3, 5
Solve v**2 - 69*v + 134 = 0.
2, 67
Suppose m**4 + 20*m**3 + 118*m**2 + 180*m + 81 = 0. What is m?
-9, -1
Let -3*t**3 - 18*t**2 + 120*t = 0. What is t?
-10, 0, 4
Determine i, given that -24*i**5 + 796*i**4 - 4132*i**3 + 3644*i**2 + 796*i - 1080 = 0.
-1/2, 2/3, 1, 5, 27
Find z such that 5*z**4 - 210*z**3 + 595*z**2 - 390*z = 0.
0, 1, 2, 39
Let c**5/3 + 29*c**4/3 - 95*c**3/3 + 35*c**2/3 + 94*c/3 - 64/3 = 0. Calculate c.
-32, -1, 1, 2
Solve 8*t**3 - 32718*t**2 + 33448020*t + 8364050 = 0.
-1/4, 2045
Factor -2*c**2/5 - 2556*c/5 - 2554/5.
-2*(c + 1)*(c + 1277)/5
Let -3*r**4/5 + 31*r**3/5 + 86*r**2/5 - 64*r + 96/5 = 0. What is r?
-4, 1/3, 2, 12
Solve -a**5/6 + 17*a**4/6 + a**3/6 - 17*a**2/6 = 0 for a.
-1, 0, 1, 17
Factor 3*a**2 + 2322*a + 449307.
3*(a + 387)**2
Let 2*q**3/11 + 2142*q**2/11 + 764694*q/11 + 90998586/11 = 0. What is q?
-357
Solve 2*n**5 + 20*n**4 - 222*n**3 - 2440*n**2 - 2200*n = 0.
-10, -1, 0, 11
Solve -2*w**2 - 828*w + 1664 = 0.
-416, 2
Determine a so that 5*a**2 + 420*a + 415 = 0.
-83, -1
Solve b**5 - 24*b**4 + 143*b**3 + 24*b**2 - 144*b = 0.
-1, 0, 1, 12
What is z in -5*z**4/6 - 10*z**3 + 275*z**2/6 + 125*z = 0?
-15, -2, 0, 5
Solve 4*s**2 + 9284*s = 0 for s.
-2321, 0
Determine o, given that -3*o**3/5 + 1059*o**2/5 - 93984*o/5 + 92928/5 = 0.
1, 176
Factor 2*i**4/3 + 30*i**3 - 32*i**2 - 184*i/3.
2*i*(i - 2)*(i + 1)*(i + 46)/3
Factor f**2 - 150*f.
f*(f - 150)
Let 729*f**4/7 + 918*f**3/7 - 477*f**2/7 + 30*f/7 = 0. Calculate f.
-5/3, 0, 2/27, 1/3
Factor -10*i**3/3 - 9365*i**2/6 - 182910*i - 45630.
-5*(i + 234)**2*(4*i + 1)/6
Let 5*r**2 + 1270*r + 2520 = 0. Calculate r.
-252, -2
Solve -5*v**3 + 10*v**2 - 5*v = 0 for v.
0, 1
Factor -3*g**3 - 1197*g**2 - 119997*g - 118803.
-3*(g + 1)*(g + 199)**2
Suppose 767*s**4/12 - 769*s**3/12 + s**2/6 = 0. What is s?
0, 2/767, 1
Factor 5*j**2 - 20.
5*(j - 2)*(j + 2)
Factor -5*l**2 - 80*l + 180.
-5*(l - 2)*(l + 18)
Factor 4*q**5 + 16*q**4 - 48*q**3 + 8*q**2 + 44*q - 24.
4*(q - 1)**3*(q + 1)*(q + 6)
Determine l, given that l**5/4 - 37*l**4 + 1405*l**3 - 5255*l**2/2 - 5621*l/4 + 5329/2 = 0.
-1, 1, 2, 73
Determine j so that -8*j**3/7 - 34*j**2/7 - 8*j/7 = 0.
-4, -1/4, 0
Factor -2*g**4/3 + 2*g**3/3 + 80*g**2/3 - 224*g/3.
-2*g*(g - 4)**2*(g + 7)/3
Solve 3*z**4/5 - 51*z**3/5 + 51*z**2 - 477*z/5 + 54 = 0 for z.
1, 3, 10
What is g in 2*g**4 + 40*g**3 - 132*g**2 + 136*g - 46 = 0?
-23, 1
Suppose 50*s**5/9 + 730*s**4/9 - 1198*s**3/9 - 1210*s**2/9 + 604*s/9 - 64/9 = 0. Calculate s.
-16, -1, 1/5, 2
What is o in -6*o**5/7 + 24*o**4/7 + 6*o**3/7 - 96*o**2/7 + 72*o/7 = 0?
-2, 0, 1, 2, 3
Let 2*p**5/7 + 12*p**4/7 - 32*p**3/7 - 148*p**2/7 - 162*p/7 - 8 = 0. What is p?
-7, -1, 4
Solve 3*v**2/4 - 1650*v - 6603/4 = 0.
-1, 2201
Factor 5*b**2 - 4890*b.
5*b*(b - 978)
Solve -2*s**5 + 12*s**4 + 4*s**3 - 24*s**2 - 2*s + 12 = 0.
-1, 1, 6
Determine z so that 3*z**4/2 - 5052*z**3 + 5670027*z**2 - 2118696720*z - 4248743601/2 = 0.
-1, 1123
Factor -w**5 + 32*w**4 - 256*w**3.
-w**3*(w - 16)**2
Find v, given that 2*v**2/15 - 94*v/15 + 344/15 = 0.
4, 43
Let 20*b**4 + 245*b**3 + 880*b**2 + 1045*b + 210 = 0. What is b?
-7, -3, -2, -1/4
Solve m**2 - 21*m - 540 = 0.
-15, 36
Find a such that a**2 + 8*a + 16 = 0.
-4
Factor -4*z**4/5 + 16*z**3/5 + 72*z**2 + 1296*z/5 + 1404/5.
-4*(z - 13)*(z + 3)**3/5
Find h such that -2*h**3/13 + 398*h**2/13 - 19998*h/13 + 19602/13 = 0.
1, 99
Factor -y**2 + 330*y - 27225.
-(y - 165)**2
Solve -3*i**3/4 - 159*i**2/2 - 627*i/4 - 78 = 0 for i.
-104, -1
Let 4*f**2 + 6096*f + 2322576 = 0. Calculate f.
-762
Find y such that -5*y**3 - 420*y**2 + 9900*y - 52000 = 0.
-104, 10
Solve 2*x**3 + 74*x**2/3 + 76*x + 160/3 = 0.
-8, -10/3, -1
Solve 3*n**2 + 174*n - 360 = 0.
-60, 2
Find x, given that -9*x**3/4 - 3*x**2/4 + 3*x/2 = 0.
-1, 0, 2/3
Factor -m**2/5 - 156*m/5 - 6084/5.
-(m + 78)**2/5
Determine v so that 2*v**3/11 - 38*v**2/11 + 190*v/11 - 14 = 0.
1, 7, 11
Suppose -2*b**3/7 - 40*b**2/7 + 34*b - 300/7 = 0. Calculate b.
-25, 2, 3
Factor -j**5/4 - 4*j**4 + 235*j**3/4 - 325*j**2/2.
-j**2*(j - 5)**2*(j + 26)/4
Determine z so that -35*z**5 - 1460*z**4 - 13475*z**3 + 36310*z**2 - 26180*z + 4840 = 0.
-22, 2/7, 1
Determine l so that -5*l**4 + 60*l**3 - 210*l**2 + 260*l - 105 = 0.
1, 3, 7
Solve -z**3/2 - 953*z**2/2 - 228475*z/2 - 676875/2 = 0.
-475, -3
Factor 2*a**4/3 + a**3 - 2*a**2/3.
a**2*(a + 2)*(2*a - 1)/3
Determine a, given that 2*a**5 + 406*a**4 + 20400*a**3 - 20808*a**2 = 0.
-102, 0, 1
Suppose -2*k**2/13 + 48*k/13 - 288/13 = 0. Calculate k.
12
Factor 3*a**5 - 12*a**4 + 12*a**3 + 6*a**2 - 15*a + 6.
3*(a - 2)*(a - 1)**3*(a + 1)
Factor -5*l**5 + 1090*l**4 + 11275*l**3 + 28500*l**2.
-5*l**2*(l -