*2/2 - 182*a - 294.
(a - 6)*(a + 2)*(a + 7)**2/2
Factor 3*a**5/5 - 27*a**4/5 + 69*a**3/5 + 27*a**2/5 - 324*a/5 + 324/5.
3*(a - 3)**3*(a - 2)*(a + 2)/5
Determine x so that 195*x**5 + 95*x**4 - 120*x**3 - 20*x**2 = 0.
-1, -2/13, 0, 2/3
Determine w so that 2*w**2 + 126*w + 124 = 0.
-62, -1
Factor 2*v**2/5 - 6*v + 72/5.
2*(v - 12)*(v - 3)/5
Solve n**5/7 - 1265*n**4/7 + 5049*n**3/7 - 901*n**2 + 2522*n/7 = 0.
0, 1, 2, 1261
Solve 2*z**4/7 - 120*z**3/7 + 1238*z**2/7 + 17544*z/7 + 2312 = 0.
-7, -1, 34
Solve 3*s**2/7 + 804*s/7 + 801/7 = 0 for s.
-267, -1
Find q, given that 15*q**4 + 935*q**3 - 2565*q**2 + 2265*q - 650 = 0.
-65, 2/3, 1
Determine w, given that -2*w**2/5 + 158*w/5 + 664/5 = 0.
-4, 83
Let 25*h**3 + 15*h**2 - 60*h + 20 = 0. What is h?
-2, 2/5, 1
Factor r**4/3 - 6*r**3 + 37*r**2/3 + 132*r + 484/3.
(r - 11)**2*(r + 2)**2/3
Factor 4*h**3/5 + 156*h**2/5 + 288*h - 320.
4*(h - 1)*(h + 20)**2/5
Factor -f**2/3 + f/3 + 20/3.
-(f - 5)*(f + 4)/3
Factor -w**2/4 - 1309*w/2 - 1713481/4.
-(w + 1309)**2/4
Solve -i**4/2 - 136*i**3 - 19031*i**2/2 - 36314*i - 26934 = 0.
-134, -3, -1
What is t in 5*t**5 - 13*t**4 + t**3 + 13*t**2 - 6*t = 0?
-1, 0, 3/5, 1, 2
Determine q so that -9*q**5 - 15*q**4 + 30*q**3 + 60*q**2 + 24*q = 0.
-2, -1, -2/3, 0, 2
Find d, given that -2*d**3 + 96*d**2 - 1440*d + 6400 = 0.
8, 20
Factor f**3/2 - 167*f**2/2 + 7055*f/2 - 6889/2.
(f - 83)**2*(f - 1)/2
Suppose 2*y**3/5 + 48*y**2/5 + 234*y/5 - 676/5 = 0. What is y?
-13, 2
Factor 2*y**3/11 + 12*y**2/11.
2*y**2*(y + 6)/11
Suppose 2*j**5/9 + 16*j**4/3 + 26*j**3 + 332*j**2/9 + 16*j = 0. Calculate j.
-18, -4, -1, 0
Suppose 5*t**2/3 + 215*t - 660 = 0. What is t?
-132, 3
Factor -4*v**3 + 12*v**2 + 4*v - 12.
-4*(v - 3)*(v - 1)*(v + 1)
Let -3*w**5/5 - 6*w**4 - 66*w**3/5 + 96*w**2/5 + 57*w + 30 = 0. Calculate w.
-5, -1, 2
Factor 3*z**5/8 + 3*z**4/4 - 3*z**2/4 - 3*z/8.
3*z*(z - 1)*(z + 1)**3/8
Factor -4*c**4 + 16*c**3 + 4*c**2 - 16*c.
-4*c*(c - 4)*(c - 1)*(c + 1)
Solve -2*j**3/19 - 24*j**2/19 = 0 for j.
-12, 0
Find r, given that -2*r**4/9 + 8*r**2/9 = 0.
-2, 0, 2
Find f such that -4*f**4 + 9*f**3 + f**2 - 6*f = 0.
-3/4, 0, 1, 2
Factor 2*f**2 - 346*f + 2952.
2*(f - 164)*(f - 9)
Factor 4*q**3/7 + 3212*q**2/7.
4*q**2*(q + 803)/7
Factor -3*t**3/2 - 6*t**2 - 9*t/2.
-3*t*(t + 1)*(t + 3)/2
Factor -5*u**4 + 25*u**3 - 20*u**2.
-5*u**2*(u - 4)*(u - 1)
Solve 4*m**5 + 156*m**4 + 1440*m**3 - 1600*m**2 = 0 for m.
-20, 0, 1
Solve 3*l**4/4 + 15*l**3 - 9*l**2/4 - 87*l/2 + 30 = 0 for l.
-20, -2, 1
Let -2*u**5/21 - 10*u**4/21 - 4*u**3/21 + 4*u**2/3 + 2*u/7 - 6/7 = 0. Calculate u.
-3, -1, 1
Factor 2*c**2/19 + 3748*c/19 + 1755938/19.
2*(c + 937)**2/19
Factor -2*h**2/5 + 98*h/5 + 204/5.
-2*(h - 51)*(h + 2)/5
What is n in 117*n**2/7 - 150*n/7 + 33/7 = 0?
11/39, 1
Let -3*d**2 + 282*d + 576 = 0. Calculate d.
-2, 96
Let -p**2/3 + 64*p/3 - 341 = 0. Calculate p.
31, 33
Suppose -21*l**2 - 2409*l + 690 = 0. What is l?
-115, 2/7
Suppose 4*g**5/9 + 28*g**4/9 - 512*g**3/9 - 3584*g**2/9 + 16384*g/9 + 114688/9 = 0. Calculate g.
-8, -7, 8
Solve 5*y**2 - 185*y + 1430 = 0.
11, 26
Solve -21*u**5/4 - 87*u**4/2 + 15*u**3/4 + 120*u**2 - 51*u - 24 = 0 for u.
-8, -2, -2/7, 1
Factor 5*z**4/4 + 15*z**3/2 + 15*z**2/4 - 25*z/2.
5*z*(z - 1)*(z + 2)*(z + 5)/4
Let 4*c**5 + 64*c**4 + 80*c**3 - 1600*c**2 = 0. What is c?
-10, 0, 4
Determine n, given that n**4 + 12*n**3 + 33*n**2 + 2*n - 48 = 0.
-8, -3, -2, 1
Determine n, given that 5*n**4 + 8660*n**3 - 5*n**2 - 8660*n = 0.
-1732, -1, 0, 1
Let 21904*b**3/3 + 14504*b**2 - 197*b + 2/3 = 0. What is b?
-2, 1/148
Factor -2*o**2/9 + 50*o/9 + 12.
-2*(o - 27)*(o + 2)/9
Solve -p**5/3 + 2*p**4 + 5*p**3/3 - 10*p**2 - 4*p/3 + 8 = 0 for p.
-2, -1, 1, 2, 6
Solve 5*y**2/3 - 15*y + 70/3 = 0.
2, 7
Suppose -196*f**5 - 45654*f**4 - 42170*f**3 + 12560*f**2 + 7416*f - 1856 = 0. What is f?
-232, -1, -1/2, 2/7
Factor -g**4/4 - 19*g**3/4 + g**2/4 + 19*g/4.
-g*(g - 1)*(g + 1)*(g + 19)/4
Determine p, given that p**5/2 - 19*p**4/2 + 55*p**3 - 133*p**2 + 273*p/2 - 99/2 = 0.
1, 3, 11
Factor 2*u**2/5 + 4884*u/5 + 2981682/5.
2*(u + 1221)**2/5
Factor -z**3/4 - 5*z**2/4 + 7*z/2.
-z*(z - 2)*(z + 7)/4
Factor 4*k**3 - 2760*k**2 + 634800*k - 48668000.
4*(k - 230)**3
Determine b, given that -b**5/2 - 9*b**4/2 + 5*b**3/2 + 45*b**2/2 - 2*b - 18 = 0.
-9, -2, -1, 1, 2
Find y, given that -15*y**4 - 801*y**3/4 + 135*y**2 - 21*y = 0.
-14, 0, 1/4, 2/5
Suppose -a**4/8 - 9*a**3/8 - 9*a**2/8 + 81*a/8 + 81/4 = 0. Calculate a.
-6, -3, 3
Solve -4*h**2/5 + 128*h/5 - 48 = 0 for h.
2, 30
Factor -3*z**3/7 + 206*z**2/7 - 135*z/7 - 68/7.
-(z - 68)*(z - 1)*(3*z + 1)/7
Solve 5*o**5 + 70*o**4 + 365*o**3 + 880*o**2 + 980*o + 400 = 0.
-5, -4, -2, -1
Determine a so that 20*a**5 - 28*a**4 - 52*a**3 + 44*a**2 + 32*a - 16 = 0.
-1, 2/5, 1, 2
What is b in 14*b**3/3 + 10*b**2/3 - 32*b/3 + 8/3 = 0?
-2, 2/7, 1
Suppose -3*h**4/4 + 31*h**3/2 - 151*h**2/4 + 32*h - 9 = 0. What is h?
2/3, 1, 18
Factor -3*o**4 + 18*o**2 + 24*o + 9.
-3*(o - 3)*(o + 1)**3
Find j, given that 3*j**4 - 39*j**2 - 36*j = 0.
-3, -1, 0, 4
Determine y, given that 4*y**3 - 288*y**2 + 5712*y - 18496 = 0.
4, 34
Determine v, given that 10*v**4/9 + 8*v**3/9 - 22*v**2/9 + 4*v/9 = 0.
-2, 0, 1/5, 1
Factor 2*f**2 + 3720*f + 1729800.
2*(f + 930)**2
Find h, given that -4*h**5 + 236*h**4 - 2848*h**3 - 18448*h**2 - 31744*h - 16384 = 0.
-2, -1, 32
Factor -2*c**3/19 + 122*c**2/19 - 814*c/19 - 35594/19.
-2*(c - 37)**2*(c + 13)/19
Find n such that -n**4 - 2*n**3 + n**2 + 2*n = 0.
-2, -1, 0, 1
Factor -j**3 + 604*j**2.
-j**2*(j - 604)
Factor -5*t**2 + 760*t - 755.
-5*(t - 151)*(t - 1)
Factor 2*o**3/5 - 4*o**2 - 8*o/5 + 16.
2*(o - 10)*(o - 2)*(o + 2)/5
Determine l, given that -l**3/4 + l**2 + 15*l/4 - 9/2 = 0.
-3, 1, 6
Let -4*y**4 + 4*y**3 + 168*y**2 + 128*y - 896 = 0. Calculate y.
-4, 2, 7
Suppose 3*n**2 + 23370*n + 45513075 = 0. Calculate n.
-3895
Determine a, given that -5*a**3 + 20*a**2 - 5*a - 30 = 0.
-1, 2, 3
Factor 4*l**2 - 72*l + 68.
4*(l - 17)*(l - 1)
Solve -3*m**3/2 - 21*m**2/2 + 147*m/2 + 1029/2 = 0 for m.
-7, 7
Let -30*r**5/19 - 148*r**4/19 - 196*r**3/19 - 56*r**2/19 + 34*r/19 + 12/19 = 0. Calculate r.
-3, -1, -1/3, 2/5
Factor -p**2 + 1277*p + 2558.
-(p - 1279)*(p + 2)
Let -3*a**5 + 6*a**4 - 3*a**3 = 0. What is a?
0, 1
Determine v so that -3*v**3/7 + 1665*v**2/7 + 1674*v/7 - 3336/7 = 0.
-2, 1, 556
Find a, given that a**3 + 6*a**2 + 3*a - 10 = 0.
-5, -2, 1
Factor 2*s**2 - 60*s.
2*s*(s - 30)
Factor -5*l**4 - 525*l**3 - 13515*l**2 + 14045*l.
-5*l*(l - 1)*(l + 53)**2
Solve v**2/11 + 19*v/11 - 42/11 = 0 for v.
-21, 2
Factor -5*w**2/4 - 455*w/4 - 2025/2.
-5*(w + 10)*(w + 81)/4
Let -2*t**5/5 + 4*t**4/5 + 48*t**3/5 - 64*t**2/5 - 256*t/5 = 0. Calculate t.
-4, -2, 0, 4
Factor -h**5/4 - 7*h**4/2 + 15*h**3/4.
-h**3*(h - 1)*(h + 15)/4
Solve -2*y**4/13 - 180*y**3/13 + 6*y**2/13 + 536*y/13 - 360/13 = 0.
-90, -2, 1
Suppose -3*n**2/8 + 6*n - 117/8 = 0. What is n?
3, 13
Find d such that -d**4/5 + 11*d**3/5 - 24*d**2/5 - 36*d/5 = 0.
-1, 0, 6
Solve -16*v**4/3 - 28*v**3/3 + 20*v**2/3 + 11*v - 3 = 0.
-3/2, 1/4, 1
Determine z so that -2*z**4/5 - 76*z**3/5 - 1032*z**2/5 - 1168*z - 2240 = 0.
-14, -10, -4
Determine s, given that 2*s**3/3 + 22*s**2 + 292*s/3 + 112 = 0.
-28, -3, -2
Find g, given that -5*g**3/4 - g**2/4 + 5*g/4 + 1/4 = 0.
-1, -1/5, 1
Determine l, given that -35*l**2/3 + 151*l/6 - 11/3 = 0.
11/70, 2
Suppose 3*y**4 - 36*y**3 + 108*y**2 - 96*y = 0. What is y?
0, 2, 8
Determine l, given that -2*l**4 - 10*l**3 + 14*l**2 + 82*l + 60 = 0.
-5, -2, -1, 3
Factor -g**2/6 - 9*g - 243/2.
-(g + 27)**2/6
Factor 6*k**3/5 - 196*k**2/5 + 128*k/5.
2*k*(k - 32)*(3*k - 2)/5
Find t such that -2*t**2 - 378*t + 764 = 0.
-191, 2
Suppose z**2/5 - 34*z/5 + 57 = 0. Calculate z.
15, 19
Find v, given that 5*v**2 + 70*v + 120 = 0.
-12, -2
Factor -64*t**3/7 - 368*t**2/7 + 2431*t/7 - 2890/7.
-(t + 10)*(8*t - 17)**2/7
Factor -2*i**2/3 - 88*i.
-2*i*(i + 132)/3
Determine s, given that -2*s**2/3 - 464*s/3 - 154 = 0.
-231, -1
Suppose s**5/10 - 9*s**4/10 + 19*s**3/10 - 3*s**2/10 - 2*s + 6/5 = 0. What is s?
-1, 1, 2, 6
Factor 2*r**3 + 8*r**2 - 22*r - 60.
2*(r - 3)*(r + 2)*(r + 5)
Factor 4*o**4 + 16*o**3 - 24*o**2 - 16*o + 20.
4*(o - 1)**2*(o + 1)*(o + 5)
Factor 124*q**2 - 112*q - 12.
4*(q - 1)*(31*q + 3)
Factor 2*p**3 + 35*p**2 + 17*p.
p*(p + 17)*(2*p + 1)
Sol