hat 3*a**2 - 564*a = 0.
0, 188
Factor c**4 - 23*c**3 + 60*c**2 + 4*c - 80.
(c - 20)*(c - 2)**2*(c + 1)
Solve -g**2/2 + 50*g - 1250 = 0.
50
Suppose 2*k**3/13 + 18*k**2/13 + 46*k/13 + 30/13 = 0. Calculate k.
-5, -3, -1
Determine k, given that 4*k**5 - 12*k**4 - 12*k**3 + 44*k**2 - 24*k = 0.
-2, 0, 1, 3
Determine u so that -6*u**2/11 + 7074*u/11 = 0.
0, 1179
Factor 2*t**2/19 - 20*t/19 - 48/19.
2*(t - 12)*(t + 2)/19
Factor 10*w**3/9 - 8*w**2/9 - 10*w/9 + 8/9.
2*(w - 1)*(w + 1)*(5*w - 4)/9
Determine t so that 2*t**3/9 - 34*t**2/9 - 76*t/9 = 0.
-2, 0, 19
What is m in 36*m**4/7 + 39*m**3/7 - 111*m**2/7 - 90*m/7 = 0?
-2, -3/4, 0, 5/3
Factor -3*i**4/7 + 18*i**3/7 - 36*i**2/7 + 30*i/7 - 9/7.
-3*(i - 3)*(i - 1)**3/7
Determine k so that k**4/3 + 11*k**3/3 + 41*k**2/3 + 61*k/3 + 10 = 0.
-5, -3, -2, -1
Let 8*a**3/17 - 14*a**2/17 + 4*a/17 + 2/17 = 0. Calculate a.
-1/4, 1
Find h such that h**2/5 - 77*h/5 + 156 = 0.
12, 65
Factor j**4 - 10*j**3 + 23*j**2 - 14*j.
j*(j - 7)*(j - 2)*(j - 1)
Factor -4*j**4/5 - 344*j**3/5 + 432*j**2 - 4384*j/5 + 2944/5.
-4*(j - 2)**3*(j + 92)/5
Factor -4*m**5 - 4*m**4 + 4*m**3 + 4*m**2.
-4*m**2*(m - 1)*(m + 1)**2
What is r in 2*r**4 - 68*r**3 - 18*r**2 + 612*r = 0?
-3, 0, 3, 34
Determine y, given that 3*y**5/7 - 177*y**4/7 + 990*y**3/7 - 1938*y**2/7 + 1599*y/7 - 477/7 = 0.
1, 3, 53
Suppose -73*k**4 + 71*k**3/2 + 147*k**2/2 - 71*k/2 - 1/2 = 0. What is k?
-1, -1/73, 1/2, 1
Factor -2*z**2/15 + 58*z/15 - 36/5.
-2*(z - 27)*(z - 2)/15
Find f, given that -2*f**2 + 268*f - 266 = 0.
1, 133
Find p, given that -2*p**5/5 + 2*p**4 - 12*p**3/5 - 4*p**2/5 + 14*p/5 - 6/5 = 0.
-1, 1, 3
Determine o so that 14450*o**3 + 41140*o**2 + 27072*o + 5184 = 0.
-2, -36/85
Let -2*f**2/5 - 62*f/5 - 456/5 = 0. What is f?
-19, -12
Let 3*a**2/5 - a - 2/5 = 0. What is a?
-1/3, 2
Find o such that -2*o**3/5 - 108*o**2/5 - 1038*o/5 + 1148/5 = 0.
-41, -14, 1
Determine y so that -y**3/5 + 2*y**2 + 23*y/5 + 12/5 = 0.
-1, 12
Factor -2*z**2 - 236*z + 726.
-2*(z - 3)*(z + 121)
Solve -867*v**2/5 - 4488*v/5 - 5808/5 = 0 for v.
-44/17
Factor -4*r**3/5 - 36*r**2/5 + 8*r.
-4*r*(r - 1)*(r + 10)/5
Factor -2*r**2/9 + 682*r/9 - 452/3.
-2*(r - 339)*(r - 2)/9
Solve s**3 + 2719*s**2/3 - 4538*s/3 + 1816/3 = 0 for s.
-908, 2/3, 1
Factor -5*y**2 - 475*y - 470.
-5*(y + 1)*(y + 94)
Suppose -4*f**5 + 80*f**4 - 500*f**3 + 760*f**2 + 1920*f - 4608 = 0. What is f?
-2, 3, 8
Solve -m**4 - 144*m**3 + 3*m**2 + 434*m + 288 = 0.
-144, -1, 2
Factor m**3 + 14*m**2 - 32*m.
m*(m - 2)*(m + 16)
Let 2*h**5 - 32*h**4 + 178*h**3 - 412*h**2 + 408*h - 144 = 0. What is h?
1, 2, 6
Factor -3*p**2 - 6990*p - 4071675.
-3*(p + 1165)**2
Factor 3*g**3 - 249*g**2/5 - 372*g/5 - 108/5.
3*(g - 18)*(g + 1)*(5*g + 2)/5
What is p in -5*p**4 - 90*p**3 - 480*p**2 - 640*p = 0?
-8, -2, 0
Factor 2*y**4/3 - 2*y**3/3 - 6*y**2 + 6*y.
2*y*(y - 3)*(y - 1)*(y + 3)/3
Determine z, given that 25*z**4 - 5*z**3 - 325*z**2 - 235*z + 60 = 0.
-3, -1, 1/5, 4
What is d in -d**5 - 2*d**4 + 2*d**3 + 4*d**2 - d - 2 = 0?
-2, -1, 1
Let -10*i**2 + 425*i - 210 = 0. What is i?
1/2, 42
Factor a**2 - 17*a + 30.
(a - 15)*(a - 2)
Suppose n**5/2 - 25*n**4/8 - 3*n**3/4 + 67*n**2/8 + 4*n - 3/2 = 0. Calculate n.
-1, 1/4, 2, 6
Determine s so that 2*s**5/9 - 16*s**4/9 + 16*s**3/3 - 64*s**2/9 + 32*s/9 = 0.
0, 2
Suppose -5*p**3 + 280*p**2 - 2560*p - 40960 = 0. Calculate p.
-8, 32
Determine p so that -4*p**5 - 11*p**4 + 43*p**3 - 10*p**2 = 0.
-5, 0, 1/4, 2
Let -4*g**2 - 172*g - 168 = 0. Calculate g.
-42, -1
Factor f**4/6 + 5*f**3 + 29*f**2/6.
f**2*(f + 1)*(f + 29)/6
Factor -3*b**3/4 - 15*b**2/2 - 87*b/4 - 15.
-3*(b + 1)*(b + 4)*(b + 5)/4
Factor 3*r**5 + 24*r**4 + 6*r**3 - 240*r**2 - 225*r.
3*r*(r - 3)*(r + 1)*(r + 5)**2
Factor 6*g**2 + 22*g - 8.
2*(g + 4)*(3*g - 1)
Factor 2*g**3 - 1314*g**2.
2*g**2*(g - 657)
Factor -q**3/2 - 3*q**2 - 4*q.
-q*(q + 2)*(q + 4)/2
Let r**3 - 210*r**2 - 211*r = 0. What is r?
-1, 0, 211
Factor s**5/5 + 108*s**4/5 + 3022*s**3/5 + 5724*s**2/5 + 2809*s/5.
s*(s + 1)**2*(s + 53)**2/5
Let -w**3 + 219*w**2 - 15987*w + 389017 = 0. What is w?
73
Find g, given that -12*g**2 + 813*g + 204 = 0.
-1/4, 68
Factor -298*o**2/19 + 302*o/19 - 4/19.
-2*(o - 1)*(149*o - 2)/19
Let -48*s**3/7 + 668*s**2/7 - 2180*s/7 + 72 = 0. Calculate s.
1/4, 14/3, 9
Suppose -4*k**2 + 8*k - 4 = 0. Calculate k.
1
Factor -x**5/5.
-x**5/5
Solve -2*m**2/9 + 20*m/9 - 2 = 0.
1, 9
Solve z**2/2 - 414*z - 829/2 = 0 for z.
-1, 829
Let -5*y**4 - 65*y**3 - 230*y**2 - 60*y + 360 = 0. What is y?
-6, -2, 1
Let f**5/5 - 127*f**4/5 + 914*f**3 - 34542*f**2/5 + 97173*f/5 - 93987/5 = 0. Calculate f.
3, 59
Let -4*b**4/3 - 116*b**3/3 + 244*b**2/3 - 124*b/3 = 0. Calculate b.
-31, 0, 1
What is k in -3*k**4/5 - 342*k**3/5 - 669*k**2/5 + 342*k/5 + 672/5 = 0?
-112, -2, -1, 1
Factor -4*k**3 + 36*k**2 - 108*k + 108.
-4*(k - 3)**3
Solve -3*m**5/5 - 12*m**4/5 - 9*m**3/5 = 0 for m.
-3, -1, 0
Let -u**5/4 - 10*u**4 + 41*u**3/4 = 0. Calculate u.
-41, 0, 1
Factor s**2/2 - 13*s/2 + 15.
(s - 10)*(s - 3)/2
Solve -80*c**4 - 940*c**3 + 1260*c**2 - 515*c + 65 = 0.
-13, 1/4, 1/2
What is s in -4*s**3/7 + 44*s**2/7 - 128*s/7 + 16 = 0?
2, 7
Factor -2*b**5/3 + 20*b**4/3 - 24*b**3 + 112*b**2/3 - 64*b/3.
-2*b*(b - 4)*(b - 2)**3/3
What is h in -2*h**3/5 - 18*h**2/5 - 8*h - 24/5 = 0?
-6, -2, -1
Factor 2*m**3/5 - 422*m**2/5 - 256*m - 856/5.
2*(m - 214)*(m + 1)*(m + 2)/5
Find v such that -2*v**5 + 10*v**3 - 8*v = 0.
-2, -1, 0, 1, 2
Suppose 6*b**2 + 327*b - 504 = 0. Calculate b.
-56, 3/2
Find c such that 2*c**4 + 18*c**3 + 58*c**2 + 78*c + 36 = 0.
-3, -2, -1
Determine t so that 64*t**3/3 + 656*t**2/3 + 435*t - 675 = 0.
-45/8, 1
Let 2*r**4/9 + 16*r**3/9 - 2*r**2/3 - 52*r/9 - 32/9 = 0. Calculate r.
-8, -1, 2
Factor 2*c**3/13 - 10*c**2/13 - 8*c/13 + 40/13.
2*(c - 5)*(c - 2)*(c + 2)/13
Solve g**4/2 - 4*g**3 + 23*g**2/2 - 14*g + 6 = 0.
1, 2, 3
Factor -d**5/9 - 2*d**4/3 - 13*d**3/9 - 4*d**2/3 - 4*d/9.
-d*(d + 1)**2*(d + 2)**2/9
Factor j**2 - 1416*j + 501264.
(j - 708)**2
Determine k, given that k**4/2 + 22*k**3 - 69*k**2 + 70*k - 47/2 = 0.
-47, 1
Determine x so that 4*x**4 - 20*x**3 + 4*x**2 + 84*x - 72 = 0.
-2, 1, 3
Factor -2*o**4/19 - 70*o**3/19 - 68*o**2/19.
-2*o**2*(o + 1)*(o + 34)/19
Factor 5*h**5 - 20*h**4 + 10*h**3 + 20*h**2 - 15*h.
5*h*(h - 3)*(h - 1)**2*(h + 1)
Factor -g**2/4 + 1111*g/2 - 1234321/4.
-(g - 1111)**2/4
Factor y**3/9 - 232*y**2/9 + 461*y/9 - 230/9.
(y - 230)*(y - 1)**2/9
Factor g**3 + 1097*g**2/3 - 858*g + 736/3.
(g - 2)*(g + 368)*(3*g - 1)/3
Factor 2*z**4/19 - 24*z**3/19 + 40*z**2/19.
2*z**2*(z - 10)*(z - 2)/19
Factor j**2 - 83*j + 82.
(j - 82)*(j - 1)
Find r, given that -2*r**2/11 - 574*r/11 - 5004/11 = 0.
-278, -9
Let -q**2 - 282*q - 281 = 0. What is q?
-281, -1
Factor -a**3/6 + 541*a**2/2 - 292681*a/2 + 158340421/6.
-(a - 541)**3/6
Factor h**2/4 + 205*h/4 + 51.
(h + 1)*(h + 204)/4
Suppose 2*b**4/3 + 10*b**3 + 44*b**2 + 232*b/3 + 48 = 0. Calculate b.
-9, -2
Let -4*r**4 - 8*r**3 + 12*r**2 = 0. What is r?
-3, 0, 1
Factor 3*n**3/4 + 21*n**2 + 363*n/4 + 207/2.
3*(n + 2)*(n + 3)*(n + 23)/4
Factor 5*g**2 - 6580*g + 2164820.
5*(g - 658)**2
Factor x**2 + 2226*x + 1238769.
(x + 1113)**2
Solve 2*u**3/15 - 104*u**2/15 + 256*u/3 - 1536/5 = 0 for u.
8, 36
Factor -5*m**4 - 240*m**3 + 250*m**2 + 240*m - 245.
-5*(m - 1)**2*(m + 1)*(m + 49)
Factor 35*o**2 - 480*o + 1600.
5*(o - 8)*(7*o - 40)
Find h such that -5*h**4 - 795*h**3 = 0.
-159, 0
Suppose 5*w**4/2 + 60*w**3 - 535*w**2/2 + 345*w - 140 = 0. What is w?
-28, 1, 2
Let 5*x**2 - 120*x + 475 = 0. Calculate x.
5, 19
Factor -5*l**2 + 3080*l - 474320.
-5*(l - 308)**2
Factor z**2/6 + 401*z/6 - 403/3.
(z - 2)*(z + 403)/6
Factor -11*r**3/2 + 59*r**2/2 - 32*r + 8.
-(r - 4)*(r - 1)*(11*r - 4)/2
Factor 4*t**3 + 300*t**2 + 4428*t - 47068.
4*(t - 7)*(t + 41)**2
Find q, given that 3*q**4 - 975*q**3 + 104967*q**2 - 3671229*q - 7770174 = 0.
-2, 109
Let 2*m**3/7 + 2110*m**2/7 + 557566*m/7 + 555458/7 = 0. What is m?
-527, -1
Factor -3*f**3/7 - 3378*f**2/7 - 950907*f/7.
-3*f*(f + 563)**2/7
Factor -g**2/5 + 44*g/5.
-g*(g - 44)/5
Solve 4*g**5/9 - 224*g**4/9 - 40*g**3/9 + 2240*g**2/9 + 4*g - 224 = 0 for g.
-3, -1, 1, 3, 56
Solve 5*d**4 + 10*d**3 - 55*d**2 - 60*d = 0.
-4, -1, 0, 3
Determine y so that -2*y**2 - 202*y + 204 = 0.
-102, 1
Suppose -2*w**2 + 3252*w - 1321938 = 0. What is w?
813
Let -