2*p**5/5 + 64*p**4/5 + 488*p**3/5 - 160*p**2 - 7168*p/5 - 8192/5 = 0 for p.
-16, -2, 4
Let -9*a**4/2 - 19*a**3 - 53*a**2/2 - 14*a - 2 = 0. Calculate a.
-2, -1, -2/9
Factor v**5 - 6*v**4 - 9*v**3 + 14*v**2.
v**2*(v - 7)*(v - 1)*(v + 2)
Factor z**2 + 156*z + 6084.
(z + 78)**2
Factor 3*u**3 - 27*u**2 - 66*u.
3*u*(u - 11)*(u + 2)
Find p, given that -3*p**4/2 + 21*p**3 - 81*p**2/2 - 111*p + 132 = 0.
-2, 1, 4, 11
Find i, given that i**2/3 + 356*i + 95052 = 0.
-534
Factor -2*i**4 - 12*i**3 - 10*i**2 + 48*i + 72.
-2*(i - 2)*(i + 2)*(i + 3)**2
Determine d so that 2*d**5/5 - 59*d**4/5 - 92*d**3/5 - 31*d**2/5 = 0.
-1, -1/2, 0, 31
Factor 6*y**4/5 + 1786*y**3/5 + 177606*y**2/5 + 5939406*y/5 + 3881196/5.
2*(y + 99)**3*(3*y + 2)/5
Suppose -w**4/3 - 4*w**3/3 + 5*w**2 + 6*w = 0. Calculate w.
-6, -1, 0, 3
Find k, given that -5*k**3 - 160*k**2 - 665*k + 10830 = 0.
-19, 6
Factor 3*s**2/2 - 261*s.
3*s*(s - 174)/2
Find l such that 5*l**2/4 + 3000*l + 1800000 = 0.
-1200
Let 2*l**3 - 396*l**2 + 786*l - 392 = 0. Calculate l.
1, 196
Suppose 7*k**4/2 + 9*k**3/2 - 117*k**2/2 + 71*k/2 + 15 = 0. What is k?
-5, -2/7, 1, 3
Determine n, given that 3*n**4/5 + 45*n**3 - 141*n**2 - 45*n + 702/5 = 0.
-78, -1, 1, 3
Factor -x**3 + 15*x**2 + x - 15.
-(x - 15)*(x - 1)*(x + 1)
Suppose -w**3/7 - 95*w**2/7 - 278*w/7 - 184/7 = 0. Calculate w.
-92, -2, -1
Factor m**3 - m**2 - 16*m + 16.
(m - 4)*(m - 1)*(m + 4)
Factor 4*j**4 - 676*j**3 - 2052*j**2 - 2060*j - 688.
4*(j - 172)*(j + 1)**3
Suppose 4*w**3 + 52*w**2 - 536*w + 480 = 0. What is w?
-20, 1, 6
Determine z, given that 2*z**4/5 - 92*z**3/5 + 738*z**2/5 - 648*z/5 = 0.
0, 1, 9, 36
Determine v, given that 2*v**5/9 - 44*v**4/3 - 1172*v**3/9 - 904*v**2/9 + 130*v + 1036/9 = 0.
-7, -1, 1, 74
Let -2*y**3/19 - 98*y**2/19 - 84*y/19 + 576/19 = 0. Calculate y.
-48, -3, 2
Find w such that 6*w**2 + 189*w - 402 = 0.
-67/2, 2
Factor 4*m**3/5 - 8*m**2 - 208*m/5 - 224/5.
4*(m - 14)*(m + 2)**2/5
Factor -6*u**3 + 39*u**2 - 18*u.
-3*u*(u - 6)*(2*u - 1)
Factor 4*l**4/5 - 2*l**3 - 14*l**2/5.
2*l**2*(l + 1)*(2*l - 7)/5
What is l in -2*l**4 + 20*l**3 - 24*l**2 - 144*l = 0?
-2, 0, 6
Factor -5*b**5 + 30*b**4 - 45*b**3.
-5*b**3*(b - 3)**2
Solve -z**3/6 - 263*z**2/6 = 0 for z.
-263, 0
Determine u, given that -2*u**2/23 - 188*u/23 - 16 = 0.
-92, -2
Factor 2*d**5/21 - 8*d**4/21 - 40*d**3/7.
2*d**3*(d - 10)*(d + 6)/21
Factor -3*r**3 - 21*r**2 - 33*r - 15.
-3*(r + 1)**2*(r + 5)
Factor -20*l**3 - 65*l**2 - 55*l - 10.
-5*(l + 1)*(l + 2)*(4*l + 1)
Factor 2*i**2/23 - 1136*i/23 - 1138/23.
2*(i - 569)*(i + 1)/23
Factor 2*g**2/3 + 124*g/3 + 1922/3.
2*(g + 31)**2/3
What is v in 3*v**3/4 - 1899*v**2/4 + 1890*v - 1887 = 0?
2, 629
Factor n**5/9 - n**4/9 - 122*n**3/9 - 728*n**2/9 - 1504*n/9 - 896/9.
(n - 14)*(n + 1)*(n + 4)**3/9
Factor -v**5 - 1395*v**4 - 5570*v**3 - 8350*v**2 - 5565*v - 1391.
-(v + 1)**4*(v + 1391)
Determine g, given that 4*g**2 + 24*g - 288 = 0.
-12, 6
Factor -2*r**2/7 + 11*r/7 - 2.
-(r - 2)*(2*r - 7)/7
Find y, given that -5*y**2/2 - 25*y/2 + 125 = 0.
-10, 5
What is p in -4*p**4 - 8*p**3 - 4*p**2 = 0?
-1, 0
Let 3*f**4 - 84*f**3 + 303*f**2 - 366*f + 144 = 0. Calculate f.
1, 2, 24
Suppose 3*y**3 + 504*y**2 = 0. Calculate y.
-168, 0
Factor 2*b**4 + 68*b**3 + 426*b**2 - 2584*b + 2888.
2*(b - 2)**2*(b + 19)**2
Factor -2*l**2/3 + 1078*l/3 - 716.
-2*(l - 537)*(l - 2)/3
Find h, given that 3*h**2/4 + h - 7/4 = 0.
-7/3, 1
Suppose -98*o**4/9 - 938*o**3/9 - 674*o**2/3 + 1130*o/9 + 200/9 = 0. Calculate o.
-5, -1/7, 4/7
Factor -3*j**4 + 69*j**3 + 228*j**2 + 156*j.
-3*j*(j - 26)*(j + 1)*(j + 2)
Factor -5*w**3 - 10*w**2 + 25*w + 30.
-5*(w - 2)*(w + 1)*(w + 3)
Solve -4*j**3 + 4*j**2 + 36*j - 36 = 0 for j.
-3, 1, 3
What is h in 4*h**2/5 + 256*h + 20480 = 0?
-160
Determine f so that 2*f**2/5 + 320*f = 0.
-800, 0
Factor -2*d**2 + 56*d - 392.
-2*(d - 14)**2
Factor 4*n**3 - 1492*n**2 + 2968*n.
4*n*(n - 371)*(n - 2)
Find f such that -3*f**5/2 + 9*f**4/2 - 6*f**2 = 0.
-1, 0, 2
Factor d**5/5 - 3*d**4/5 + 4*d**2/5.
d**2*(d - 2)**2*(d + 1)/5
Let 10*s**5/3 + 28*s**4 + 242*s**3/3 + 88*s**2 + 24*s = 0. What is s?
-3, -2, -2/5, 0
Solve 2*t**5 - 24*t**4 + 78*t**3 - 16*t**2 - 120*t = 0.
-1, 0, 2, 5, 6
Suppose -2*n**5 - 178*n**4 + 378*n**3 + 1282*n**2 + 728*n = 0. Calculate n.
-91, -1, 0, 4
Find g, given that 4*g**4/7 + 44*g**3/7 + 108*g**2/7 - 44*g/7 - 16 = 0.
-7, -4, -1, 1
Find g, given that -g**3 - 537*g**2 - 71280*g + 218700 = 0.
-270, 3
Factor -3*k**3/4 + 5*k**2 - 3*k.
-k*(k - 6)*(3*k - 2)/4
Solve u**5 - 2*u**4 - u**3 + 2*u**2 = 0.
-1, 0, 1, 2
Suppose 16*m**4 + 12*m**3 - 16*m**2 - 12*m = 0. What is m?
-1, -3/4, 0, 1
Determine i, given that -i**4 + 12*i**2 - 16*i = 0.
-4, 0, 2
What is s in -4*s**2 + 48*s + 52 = 0?
-1, 13
Solve p**4 + 3*p**3 - 4*p**2 = 0 for p.
-4, 0, 1
Solve 2*s**2/7 - 5254*s/7 + 5252/7 = 0 for s.
1, 2626
Factor 3*b**3/2 + 35*b**2/2 + 48*b - 18.
(b + 6)**2*(3*b - 1)/2
Factor -4*d**4 + 8*d**3 + 332*d**2 - 336*d - 7056.
-4*(d - 7)**2*(d + 6)**2
Find v, given that -5*v**2 + 29165*v + 29170 = 0.
-1, 5834
Factor 51*o**2/7 - 6585*o/7 + 774/7.
3*(o - 129)*(17*o - 2)/7
Factor 9*y**2 + 2*y.
y*(9*y + 2)
Factor -14*b**2 + 150*b - 216.
-2*(b - 9)*(7*b - 12)
Factor 5*g**4 - 310*g**3 - 960*g**2 - 970*g - 325.
5*(g - 65)*(g + 1)**3
Factor -2*w**3/3 - 4108*w**2/3 - 2105344*w/3 + 4227136/3.
-2*(w - 2)*(w + 1028)**2/3
Determine z, given that -4*z**4/7 - 4*z**3/7 + 64*z**2/7 + 64*z/7 = 0.
-4, -1, 0, 4
Factor 5*j**2 + 110*j - 115.
5*(j - 1)*(j + 23)
Determine x so that -6*x**2 - 2032*x - 1352 = 0.
-338, -2/3
Factor -5*j**2 - 160*j + 165.
-5*(j - 1)*(j + 33)
Suppose 4*c**5/7 - 69*c**4/7 + 5*c**3/7 + 215*c**2/7 - 27*c + 34/7 = 0. What is c?
-2, 1/4, 1, 17
Factor 5*k**2 + 7120*k + 2534720.
5*(k + 712)**2
Factor i**3/8 - 69*i**2/2 - 837*i/8.
i*(i - 279)*(i + 3)/8
Factor -2*m**3 - 32*m**2 - 128*m.
-2*m*(m + 8)**2
Factor 2*j**2/9 + 16*j/9 + 10/3.
2*(j + 3)*(j + 5)/9
Factor 3*y**4 + 6*y**3 - 3*y**2 - 6*y.
3*y*(y - 1)*(y + 1)*(y + 2)
Solve -4*w**2/7 - 24*w/7 + 4 = 0 for w.
-7, 1
Factor -4*c**3/3 + 124*c**2 - 2944*c + 8464/3.
-4*(c - 46)**2*(c - 1)/3
Factor -5*m**4 - 125*m**3 + 545*m**2 + 6425*m - 27000.
-5*(m - 5)**2*(m + 8)*(m + 27)
Solve 4*f**2 + 2512*f + 394384 = 0 for f.
-314
Factor 3*r**3 + 852*r**2 + 849*r.
3*r*(r + 1)*(r + 283)
Find n, given that 2*n**2/3 + 1736*n/3 = 0.
-868, 0
Factor 3*p**4 - 198*p**3 + 3459*p**2 - 6336*p + 3072.
3*(p - 32)**2*(p - 1)**2
Solve 18*u**5 + 40*u**4 - 82*u**3 - 128*u**2 - 24*u = 0 for u.
-3, -1, -2/9, 0, 2
Suppose -2*c**2/13 - 98*c/13 - 1088/13 = 0. What is c?
-32, -17
Factor 4*h**4 - 60*h**3 + 152*h**2 - 96*h.
4*h*(h - 12)*(h - 2)*(h - 1)
Solve -s**4/2 + s**3 + 14*s**2 + 23*s + 21/2 = 0 for s.
-3, -1, 7
Let 2*y**2 - 4*y - 16 = 0. Calculate y.
-2, 4
Find k such that 3*k**4 + 294*k**3 + 8283*k**2 + 52920*k + 97200 = 0.
-45, -4
Suppose -2*o**3/3 - 4*o**2 - 2*o + 20/3 = 0. Calculate o.
-5, -2, 1
Factor 2*d**3/7 + 14*d**2 - 204*d/7.
2*d*(d - 2)*(d + 51)/7
Solve -4*b**5/7 - 592*b**4/7 + 1212*b**3/7 + 1784*b**2/7 - 2416*b/7 - 2400/7 = 0.
-150, -1, 2
Let -2*k**4/9 + 28*k**3/9 - 10*k**2 - 112*k/9 + 392/9 = 0. Calculate k.
-2, 2, 7
Solve 45*n**5/4 + 39*n**4/2 + 7*n**3/2 - 6*n**2 - 3*n/4 + 1/2 = 0 for n.
-1, -2/5, 1/3
Factor u**2/5 - 1006*u/5 + 253009/5.
(u - 503)**2/5
Find g, given that -2*g**2/3 - 3992*g - 5976024 = 0.
-2994
Factor 2*w**3/5 - 4*w**2 - 48*w/5.
2*w*(w - 12)*(w + 2)/5
Factor -5*k**2 - 565*k + 570.
-5*(k - 1)*(k + 114)
Find t such that -3*t**4 + 21*t**3 - 18*t**2 = 0.
0, 1, 6
Find g such that 2*g**4/7 - 160*g**3/7 + 704*g**2/7 + 99840*g/7 + 778752/7 = 0.
-12, 52
Factor -142*w**3 + 706*w**2 + 2008*w + 56.
-2*(w - 7)*(w + 2)*(71*w + 2)
Suppose -3*b**2 + 1206*b - 1203 = 0. What is b?
1, 401
Factor 3*h**3/2 - 6*h**2 - 3*h/2 + 6.
3*(h - 4)*(h - 1)*(h + 1)/2
Factor -3*c**2/7 - 18*c/7 + 81/7.
-3*(c - 3)*(c + 9)/7
Factor -5*i**5/2 - 110*i**4 + 465*i**3 - 710*i**2 + 955*i/2 - 120.
-5*(i - 1)**4*(i + 48)/2
Factor -5*i**4 - 35*i**3 + 805*i**2 - 765*i.
-5*i*(i - 9)*(i - 1)*(i + 17)
Factor 2*h**3/5 + 228*h**2/5 + 6264*h/5 - 13456/5.
2*(h - 2)*(h + 58)**2/5
Factor 3*v**5/5 - 6*v**3/5 + 3*v/5.
3*v*(v - 1)**2*(v + 1)**2/5
Factor 4*t**2/7 + 124*t/7 + 936/7.
4*(t + 13)*(t + 18)/7
Factor 3*a**5 - 27*a**4 + 39*a**3 + 135*a**2 - 150*a.
3*a*(a - 5)**2*(a - 1)*(a + 2)
Determin