- 65*h/2 - 16 = 0.
-32, -1
Determine n so that -n**3/4 + 7*n**2/2 + 31*n/4 + 4 = 0.
-1, 16
Find d, given that -4*d**3/13 + 34*d**2/13 - 40*d/13 - 150/13 = 0.
-3/2, 5
Factor 4*h**3 - 182*h**2 + 2480*h - 8800.
2*(h - 20)**2*(2*h - 11)
Find y, given that 33*y**5/2 + 96*y**4 + 393*y**3/2 + 159*y**2 + 30*y - 12 = 0.
-2, -1, 2/11
Find v such that -9*v**4/4 + 3449*v**3/4 - 383*v**2/2 = 0.
0, 2/9, 383
Factor 3*m**5 - 6*m**4 - 27*m**3 + 54*m**2.
3*m**2*(m - 3)*(m - 2)*(m + 3)
Factor 45*g**4 + 6*g**3 - 180*g**2 - 24*g.
3*g*(g - 2)*(g + 2)*(15*g + 2)
Factor -3*u**4/5 - 3414*u**3/5 - 6816*u**2/5.
-3*u**2*(u + 2)*(u + 1136)/5
Factor 245*k**5 + 350*k**4 - 15*k**3 - 100*k**2 + 20*k.
5*k*(k + 1)**2*(7*k - 2)**2
Determine f so that 5*f**5 - 3725*f**4 - 18705*f**3 - 33715*f**2 - 26240*f - 7500 = 0.
-2, -1, 750
Suppose -3*l**5 - 21*l**4 + 84*l**3 - 60*l**2 = 0. Calculate l.
-10, 0, 1, 2
Let 252*a**3 + 124*a**2 - 56*a = 0. Calculate a.
-7/9, 0, 2/7
Solve 5*h**5/4 - 9*h**4/4 + 3*h**3/4 + h**2/4 = 0.
-1/5, 0, 1
Determine r so that 8*r**4 - 2*r**3 - 152*r**2 + 278*r - 60 = 0.
-5, 1/4, 2, 3
Determine p so that 3*p**4 - 36*p**3 - 3*p**2 + 36*p = 0.
-1, 0, 1, 12
Find y, given that 4*y**3/9 - 3212*y**2 + 7737708*y - 6213379524 = 0.
2409
Solve 2*a**5/5 - 14*a**4/5 + 22*a**3/5 - 2*a**2 = 0 for a.
0, 1, 5
Factor 249*p**2/4 + 1746*p + 84.
3*(p + 28)*(83*p + 4)/4
Determine f, given that 5*f**5 + 150*f**4 + 1385*f**3 + 3900*f**2 + 3380*f = 0.
-13, -2, 0
Suppose 11*j**4 - 56*j**3 + 82*j**2 - 40*j + 3 = 0. What is j?
1/11, 1, 3
Suppose n**3 - 8046*n**2 + 16184529*n = 0. What is n?
0, 4023
What is a in -28*a**5 + 48*a**4 + 44*a**3 - 48*a**2 - 16*a = 0?
-1, -2/7, 0, 1, 2
Find u, given that u**3/5 - 2*u**2/5 - 9*u/5 + 18/5 = 0.
-3, 2, 3
Factor -c**3/9 + 76*c**2/3 - 227*c/9.
-c*(c - 227)*(c - 1)/9
Factor -6*d**4/5 + 24*d**3/5 - 6*d**2 + 12*d/5.
-6*d*(d - 2)*(d - 1)**2/5
Factor -4*y**4 + 32*y**3 - 52*y**2 + 24*y.
-4*y*(y - 6)*(y - 1)**2
Factor 2*o**4 + 42*o**3 - 44*o**2.
2*o**2*(o - 1)*(o + 22)
Find n such that n**4/4 + n**3/4 - 5*n**2 = 0.
-5, 0, 4
Factor u**3 - 53*u**2 + 290*u - 376.
(u - 47)*(u - 4)*(u - 2)
Suppose -k**5 + 21*k**4 - 20*k**3 = 0. What is k?
0, 1, 20
Factor 3*i**4/5 + 6*i**3/5 - 21*i**2/5 - 12*i - 36/5.
3*(i - 3)*(i + 1)*(i + 2)**2/5
Factor -2*f**4/5 + 32*f**3/5 - 32*f**2 + 256*f/5.
-2*f*(f - 8)*(f - 4)**2/5
Factor 6*g**2/17 + 62*g/17 + 72/17.
2*(g + 9)*(3*g + 4)/17
Suppose -4*d**4 + 8*d**3 + 4*d**2 - 8*d = 0. What is d?
-1, 0, 1, 2
Suppose 2*h**3/9 - 16*h**2/9 - 46*h/9 + 20/3 = 0. What is h?
-3, 1, 10
Factor -5*d**4 - 10*d**3 + 5*d**2 + 10*d.
-5*d*(d - 1)*(d + 1)*(d + 2)
Factor 4*p**4 - 4*p**2.
4*p**2*(p - 1)*(p + 1)
Let -q**3/8 - 51*q**2/8 + 105*q/8 - 53/8 = 0. Calculate q.
-53, 1
Factor 2*j**3/17 + 64*j**2/17 + 62*j/17.
2*j*(j + 1)*(j + 31)/17
Factor i**2 + 23*i - 24.
(i - 1)*(i + 24)
Suppose -9*t**4 - 21*t**3 + 113*t**2 + 385*t + 300 = 0. What is t?
-3, -5/3, 4
Factor h**3/3 + 47*h**2/3 + 30*h.
h*(h + 2)*(h + 45)/3
Solve -h**2/4 - 55*h/2 - 3025/4 = 0 for h.
-55
Let -z**5/2 - 8*z**4 - 30*z**3 + 25*z**2 + 221*z/2 + 63 = 0. What is z?
-9, -7, -1, 2
Solve -5*j**2 + 1610*j + 4875 = 0 for j.
-3, 325
Factor j**2/3 + 5*j + 12.
(j + 3)*(j + 12)/3
Find p such that -2*p**4/13 - 6*p**3/13 - 4*p**2/13 = 0.
-2, -1, 0
Let -4*h**4 + 242*h**3 - 3192*h**2 - 14848*h + 8192 = 0. Calculate h.
-4, 1/2, 32
Factor 2*k**4/13 + 54*k**3/13 + 4*k**2.
2*k**2*(k + 1)*(k + 26)/13
Factor 4*t**2 + 12*t - 40.
4*(t - 2)*(t + 5)
Determine a so that 2*a**2/9 + 40*a/3 - 248/9 = 0.
-62, 2
Find u such that u**5/3 + 4*u**4 - 118*u**3 - 740*u**2/3 - 125*u = 0.
-25, -1, 0, 15
Let 3*f**4 + 20*f**3 + 39*f**2 + 30*f + 8 = 0. What is f?
-4, -1, -2/3
What is l in 2*l**2 - 10*l - 132 = 0?
-6, 11
Find n such that 10658*n**4/5 + 584*n**3/5 - 2130*n**2 - 584*n/5 - 8/5 = 0.
-1, -2/73, 1
Factor -s**5 + 2*s**4 + 6*s**3 - 20*s**2 + 19*s - 6.
-(s - 2)*(s - 1)**3*(s + 3)
Find l such that -3*l**5 + 3*l**4 + 51*l**3 - 159*l**2 + 168*l - 60 = 0.
-5, 1, 2
Factor k**3 + 44*k**2 - 188*k + 192.
(k - 2)**2*(k + 48)
Solve 2*t**5/11 + 16*t**4 + 3866*t**3/11 - 532*t**2/11 - 1088*t - 704 = 0.
-44, -1, 2
Factor 2*r**4 + 11*r**3/2 - 19*r**2/2 + 2*r.
r*(r - 1)*(r + 4)*(4*r - 1)/2
What is r in 3*r**2 - 1779*r - 1782 = 0?
-1, 594
Factor -5*i**2 + 5*i + 150.
-5*(i - 6)*(i + 5)
Let v**2 - 1404*v + 492804 = 0. Calculate v.
702
What is h in 4*h**5/5 - 16*h**3/5 = 0?
-2, 0, 2
What is c in -16*c**3 - 124*c**2 - 276*c - 144 = 0?
-4, -3, -3/4
Determine y, given that -2*y**3 + 64*y**2 - 160*y - 6400 = 0.
-8, 20
Factor 5*y**2 + 100*y + 95.
5*(y + 1)*(y + 19)
What is s in -4*s**2/5 - 24*s/5 - 36/5 = 0?
-3
Factor -2*c**2/13 - 42*c/13 - 76/13.
-2*(c + 2)*(c + 19)/13
Determine f, given that 2*f**2/9 - 8*f/9 - 442/9 = 0.
-13, 17
Factor q**3/7 + 31*q**2/7 + 30*q/7.
q*(q + 1)*(q + 30)/7
Factor 3*l**3 - 6*l**2 - 15*l + 18.
3*(l - 3)*(l - 1)*(l + 2)
Factor 3*h**2/7 - 36*h/7 + 81/7.
3*(h - 9)*(h - 3)/7
Determine g so that 5*g**3 - 290*g**2 - 5*g + 290 = 0.
-1, 1, 58
Find s such that 4*s**2/5 - 4*s + 5 = 0.
5/2
Determine s so that -2*s**4/3 - 20*s**3/3 - 10*s**2/3 + 200*s/3 + 64 = 0.
-8, -4, -1, 3
Factor m**4/5 + 19*m**3/5 + 34*m**2/5.
m**2*(m + 2)*(m + 17)/5
Factor -y**2/5 - y/5 + 12/5.
-(y - 3)*(y + 4)/5
Suppose -f**4 + 30*f**3 + 100*f**2 - 30*f - 99 = 0. What is f?
-3, -1, 1, 33
Factor 2*l**5/3 + 16*l**4/3 - 4*l**3/3 - 104*l**2/3 + 146*l/3 - 56/3.
2*(l - 1)**3*(l + 4)*(l + 7)/3
Factor -13*y**3/3 - 50*y**2/3 - 44*y/3 + 8/3.
-(y + 2)**2*(13*y - 2)/3
Factor v**4/9 - 2*v**3/9 - v**2/3 + 8*v/9 - 4/9.
(v - 2)*(v - 1)**2*(v + 2)/9
Let s**3/2 + 2*s**2 + 3*s/2 = 0. Calculate s.
-3, -1, 0
Solve -5*j**2/6 - 985*j/3 - 9725/6 = 0.
-389, -5
Factor 2*q**3/5 + 59*q**2/5 - 77*q.
q*(q + 35)*(2*q - 11)/5
Suppose 5*a**2 - 435*a + 1660 = 0. Calculate a.
4, 83
Factor 3*r**4 + 24*r**3 - 69*r**2 - 630*r.
3*r*(r - 5)*(r + 6)*(r + 7)
Let -h**5/2 - h**4 + 4*h**3 + 9*h**2 + 9*h/2 = 0. What is h?
-3, -1, 0, 3
Factor 2*a**2 + 16*a - 18.
2*(a - 1)*(a + 9)
Find n, given that -5*n**2 + 550*n + 2875 = 0.
-5, 115
Suppose 5*s**5/8 + 119*s**4/4 - 141*s**3/8 - 1071*s**2/4 + 108*s = 0. Calculate s.
-48, -3, 0, 2/5, 3
Determine k, given that -4*k**5 + 16*k**4 - 20*k**3 + 8*k**2 = 0.
0, 1, 2
Factor 3*z**2/5 - 87*z/5 + 234/5.
3*(z - 26)*(z - 3)/5
Factor -50*i**3/7 - 340*i**2/7 - 248*i/7 - 48/7.
-2*(i + 6)*(5*i + 2)**2/7
Factor 5*o**2 - 9310*o + 4333805.
5*(o - 931)**2
Factor -36*r**4/7 + 723*r**3/7 - 3660*r**2/7 + 300*r/7.
-3*r*(r - 10)**2*(12*r - 1)/7
Solve -b**3 + 133*b**2 - 4355*b - 4489 = 0.
-1, 67
Solve 5*d**2 - 940*d + 44180 = 0 for d.
94
Factor q**4 - 130*q**3 + 5037*q**2 - 52780*q + 164836.
(q - 58)**2*(q - 7)**2
Solve 2*l**2 + 13428*l + 22538898 = 0.
-3357
Solve -2*t**3/3 + 8*t**2/3 - 2*t/3 - 4 = 0.
-1, 2, 3
Factor -g**5/8 - 3*g**4/2 - 11*g**3/4 + 21*g**2/2 - 49*g/8.
-g*(g - 1)**2*(g + 7)**2/8
Find d, given that 2*d**3/7 - 6*d**2/7 + 8/7 = 0.
-1, 2
Solve -15*d**4 - 320*d**3 + 775*d**2 + 1660*d - 2100 = 0.
-70/3, -2, 1, 3
What is d in 3*d**5 + 9*d**4 - 39*d**3 - 45*d**2 = 0?
-5, -1, 0, 3
Solve -5*s**2 + 1080*s - 1075 = 0 for s.
1, 215
Suppose -6*d**4/7 + 66*d**3/7 + 456*d**2/7 + 384*d/7 = 0. What is d?
-4, -1, 0, 16
Let 5*r**4 - 705*r**3 - 13770*r**2 - 84780*r - 171720 = 0. What is r?
-6, 159
Factor 4*s**4 - 16*s**3 + 12*s**2.
4*s**2*(s - 3)*(s - 1)
Suppose 2*f**2 - 22*f + 48 = 0. Calculate f.
3, 8
Determine m, given that 5*m**4 - 10*m**3 - 45*m**2 + 90*m = 0.
-3, 0, 2, 3
Factor 2*x**2/9 + 2414*x/9 - 1612/3.
2*(x - 2)*(x + 1209)/9
Suppose -2*n**5 - 608*n**4 - 62976*n**3 - 2355804*n**2 - 13937022*n - 11643588 = 0. What is n?
-99, -6, -1
Let 2*n**3/15 - 1636*n**2/15 = 0. What is n?
0, 818
Find k, given that -3*k**3/8 - 309*k**2/8 + 1275*k/8 - 963/8 = 0.
-107, 1, 3
Factor 34*i**2 + 80*i + 24.
2*(i + 2)*(17*i + 6)
Determine j so that 2*j**2/5 - 2*j/5 - 112/5 = 0.
-7, 8
Factor -15*l**3 + 40*l**2 + 25*l - 30.
-5*(l - 3)*(l + 1)*(3*l - 2)
Factor t**4 + 6*t**3 - 4*t**2 - 24*t.
t*(t - 2)*(t + 2)*(t + 6)
Factor 4*p**2 + 204*p - 208.
4*(p - 1)*(p + 52)
Factor g**3/2 + 3*g**2/2 - 72*g + 270.
(g - 6)**2*(g + 15)/2
Factor 28*z**4 - 288*z**3 + 976*z**2 - 1152*z + 256.
4*(z - 4)**2*(z - 2)*(7*z - 2)
Let 4*y**4 + 18*y**3 + 105*y**2/4 + 25*y/2 = 0. Calculate y.
-2, -5/4, 0
Suppose -z**4 + 10*z**3 +