2/3 - 8*z/3.
-2*z*(z - 2)*(z - 1)*(z + 2)/3
Find k such that -k**3 + 110*k**2 - 3417*k + 20808 = 0.
8, 51
Solve 8*g**4/5 - 214*g**3/5 - 62*g**2/5 + 214*g/5 + 54/5 = 0.
-1, -1/4, 1, 27
Factor -5*a**5 - 55*a**4 - 240*a**3 - 520*a**2 - 560*a - 240.
-5*(a + 2)**4*(a + 3)
Solve -12*j**4/11 - 86*j**3/11 - 186*j**2/11 - 90*j/11 + 54/11 = 0 for j.
-3, -3/2, 1/3
Solve -3*t**5 + 561*t**4/5 - 177*t**3/5 - 1653*t**2/5 - 456*t/5 + 444/5 = 0 for t.
-1, 2/5, 2, 37
Solve 125*w**5 + 225*w**4 - 405*w**3 + 135*w**2 = 0 for w.
-3, 0, 3/5
Factor -12*i**2 - 9560*i - 6368.
-4*(i + 796)*(3*i + 2)
Factor s**2/3 - s - 4/3.
(s - 4)*(s + 1)/3
Factor -3*l**4/5 - 6*l**3/5 + 3*l**2/5 + 6*l/5.
-3*l*(l - 1)*(l + 1)*(l + 2)/5
Let c**2 + 16*c - 17 = 0. Calculate c.
-17, 1
Let 2*v**2/9 + 74*v/9 + 8 = 0. Calculate v.
-36, -1
Factor 3*g**2/7 - 6*g - 96/7.
3*(g - 16)*(g + 2)/7
Determine t, given that 5*t**5 - 10*t**4 - 15*t**3 + 40*t**2 - 20*t = 0.
-2, 0, 1, 2
Let -2*s**5/15 + 8*s**4/15 + 2*s**3/5 - 28*s**2/15 + 16*s/15 = 0. Calculate s.
-2, 0, 1, 4
Let 3*b**4 + 114*b**3 + 1287*b**2 + 3876*b + 3468 = 0. Calculate b.
-17, -2
What is m in -36*m**4 - 120*m**3 - 109*m**2 - 27*m - 2 = 0?
-2, -1, -1/6
Suppose -3*k**4 - 147*k**3 - 552*k**2 - 540*k = 0. What is k?
-45, -2, 0
Suppose 2*c**5/3 - 11*c**4/3 + 10*c**3/3 + 35*c**2/3 - 24*c + 12 = 0. What is c?
-2, 1, 3/2, 2, 3
Factor 3*q**4 - 6*q**2 + 3.
3*(q - 1)**2*(q + 1)**2
Factor z**2 - 42*z + 80.
(z - 40)*(z - 2)
Factor -3*r**2 - 21*r + 234.
-3*(r - 6)*(r + 13)
Factor i**2/8 + 173*i/4 + 29929/8.
(i + 173)**2/8
Let 3*d**2 + 132*d - 276 = 0. What is d?
-46, 2
Let -2*q**2/9 - 7148*q/9 + 7150/9 = 0. Calculate q.
-3575, 1
Factor -p**2 - 13*p - 36.
-(p + 4)*(p + 9)
Let 4*f**2 - 100*f - 216 = 0. What is f?
-2, 27
Suppose -10*h**4 - 298*h**3 - 3868*h**2/5 - 2392*h/5 - 432/5 = 0. What is h?
-27, -2, -2/5
Find b, given that 2*b**2/7 - 928*b/7 = 0.
0, 464
Determine s, given that -4*s**2 - 1264*s - 2512 = 0.
-314, -2
Factor d**5 - 10*d**4 + 12*d**3 + 72*d**2.
d**2*(d - 6)**2*(d + 2)
Let 3*u**4 - 324*u**3 - 1683*u**2 - 1356*u = 0. What is u?
-4, -1, 0, 113
Factor 2*t**2/13 - 38*t/13 - 40/13.
2*(t - 20)*(t + 1)/13
Factor 3*i**5/2 - 141*i**4/2 + 1857*i**3/2 - 4755*i**2/2 + 2244*i - 726.
3*(i - 22)**2*(i - 1)**3/2
Solve -294*l**5/17 + 364*l**4/17 + 158*l**3/17 - 348*l**2/17 + 8*l - 16/17 = 0 for l.
-1, 2/7, 2/3, 1
Determine a so that -5*a**4 - 145*a**3 - 690*a**2 = 0.
-23, -6, 0
Let -15*f**4 - 84*f**3 - 45*f**2 = 0. What is f?
-5, -3/5, 0
Suppose -3*b**3/5 - 6*b**2/5 + 3*b/5 + 6/5 = 0. What is b?
-2, -1, 1
Solve -3*l**2/7 - 1500*l/7 + 864 = 0.
-504, 4
Let r**3/2 + r**2 - 5*r/2 - 3 = 0. Calculate r.
-3, -1, 2
Factor j**2 - 166*j.
j*(j - 166)
Suppose -3*c**2 + 39*c + 42 = 0. Calculate c.
-1, 14
Factor -m**4 - 2*m**3 + 8*m**2 + 18*m + 9.
-(m - 3)*(m + 1)**2*(m + 3)
Let -r**3/6 - 5*r**2/3 + 16*r = 0. Calculate r.
-16, 0, 6
Find l, given that l**4 + 15*l**3/2 + 23*l**2/2 - 15*l/2 - 25/2 = 0.
-5, -5/2, -1, 1
Factor -43*j**3/6 + 91*j**2/6 + 119*j/6 - 5/2.
-(j - 3)*(j + 1)*(43*j - 5)/6
Factor 3*r**4 + 183*r**3 - 1170*r**2 + 2388*r - 1608.
3*(r - 2)**3*(r + 67)
Suppose -2*d**4/5 - 72*d**3/5 + 342*d**2/5 + 892*d/5 + 96 = 0. What is d?
-40, -1, 6
Let 3*f**4 - 24*f**3 - 216*f**2 - 480*f - 336 = 0. Calculate f.
-2, 14
Solve 2*v**2 - 44*v - 816 = 0 for v.
-12, 34
Find u, given that -u**4/5 + 24*u**3/5 + 3*u**2/5 - 14*u - 48/5 = 0.
-1, 2, 24
Factor r**2/2 + 14*r + 27/2.
(r + 1)*(r + 27)/2
Let -4*u**4 + 532*u**3 - 17944*u**2 + 16368*u + 34848 = 0. What is u?
-1, 2, 66
Factor k**4/4 - 23*k**3/4 + 141*k**2/4 - 77*k/4 - 121/2.
(k - 11)**2*(k - 2)*(k + 1)/4
Determine p so that 2*p**5/11 - 128*p**4/11 - 2*p**3/11 + 128*p**2/11 = 0.
-1, 0, 1, 64
Factor -2*o**3/19 + 686*o**2/19 - 57072*o/19 - 302760/19.
-2*(o - 174)**2*(o + 5)/19
Find s such that -7*s**4 + 54*s**3 - 75*s**2 + 16*s + 12 = 0.
-2/7, 1, 6
Determine q so that -2*q**2 + 16*q + 306 = 0.
-9, 17
Let b**3 - 817*b**2 + 166463*b + 167281 = 0. Calculate b.
-1, 409
Solve -5*d**5 - 10*d**4 + 5*d**3 + 10*d**2 = 0 for d.
-2, -1, 0, 1
Suppose -3*r**2/2 + 981*r - 1959/2 = 0. Calculate r.
1, 653
Factor -8*n**2 + 442*n - 110.
-2*(n - 55)*(4*n - 1)
Determine o so that -4*o**4/7 - 64*o**3/7 - 272*o**2/7 + 64*o/7 + 1536/7 = 0.
-8, -6, -4, 2
Determine g so that 6*g**5/11 - 38*g**4/11 + 78*g**3/11 - 58*g**2/11 + 12*g/11 = 0.
0, 1/3, 1, 2, 3
Solve -l**2/4 - 15*l/2 - 225/4 = 0.
-15
Factor -3*y**2/7 + 45930*y/7 - 175797075/7.
-3*(y - 7655)**2/7
Solve -450*z**2/13 + 120*z - 104 = 0 for z.
26/15
Determine o, given that -o**5/4 + 53*o**4/4 - 60*o**3 = 0.
0, 5, 48
Suppose w**3 - 7*w**2 - 10*w + 16 = 0. Calculate w.
-2, 1, 8
Find w such that 98*w**5 - 42*w**4 - 1616*w**3 - 2864*w**2 - 1248*w - 160 = 0.
-2, -2/7, 5
Let g**2/5 - 19*g/5 - 42/5 = 0. What is g?
-2, 21
Factor -2*q**2/7 + 18*q/7 + 32.
-2*(q - 16)*(q + 7)/7
Factor q**3/4 + 5*q**2/4 - 2*q - 12.
(q - 3)*(q + 4)**2/4
Solve -3*m**5 + 204*m**4 + 9*m**3 - 606*m**2 - 408*m = 0.
-1, 0, 2, 68
Factor -3*s**2 - 3540*s - 1044300.
-3*(s + 590)**2
Factor 3*a**3 - 162*a**2 + 612*a - 600.
3*(a - 50)*(a - 2)**2
What is l in -20*l**5/3 + 92*l**4/3 + 220*l**3 + 1108*l**2/3 + 704*l/3 + 48 = 0?
-2, -1, -2/5, 9
Factor 48050*z**2/7 - 1240*z/7 + 8/7.
2*(155*z - 2)**2/7
Factor 2*x**5 - 18*x**4 - 6*x**3 + 50*x**2 + 36*x.
2*x*(x - 9)*(x - 2)*(x + 1)**2
Factor -f**3 - 37*f**2 + 1952*f - 17664.
-(f - 16)**2*(f + 69)
Factor l**5 + 5*l**4 + 4*l**3.
l**3*(l + 1)*(l + 4)
Determine n, given that -n**4 - 14*n**3/5 + 72*n**2/5 - 82*n/5 + 29/5 = 0.
-29/5, 1
Factor 27*h**2 + 480*h - 108.
3*(h + 18)*(9*h - 2)
Find m, given that -m**3 - 262*m**2 + 263*m = 0.
-263, 0, 1
Solve -15*o**3 + 3130*o**2 - 164320*o + 108160 = 0.
2/3, 104
Factor 4*a**5/5 + 64*a**4/5 + 312*a**3/5 + 592*a**2/5 + 484*a/5 + 144/5.
4*(a + 1)**3*(a + 4)*(a + 9)/5
Factor -3*g**3 + 567*g**2 - 1674*g.
-3*g*(g - 186)*(g - 3)
What is n in 4*n**3 - 4*n**2 - 208*n + 640 = 0?
-8, 4, 5
Factor -2*h**3/7 - 40*h**2/7 - 250*h/7 - 500/7.
-2*(h + 5)**2*(h + 10)/7
Factor 2*r**2 - 42*r + 108.
2*(r - 18)*(r - 3)
Suppose 3*a**3/5 - 93*a**2/5 + 18*a = 0. What is a?
0, 1, 30
Factor -5*v**3/4 + 25*v**2 - 125*v.
-5*v*(v - 10)**2/4
Solve -3*j**5/4 + 3*j**4/4 + 15*j**3/2 - 15*j**2/2 - 27*j/4 + 27/4 = 0.
-3, -1, 1, 3
Factor 9*v**2 + 1407*v + 468.
3*(v + 156)*(3*v + 1)
Factor -5*b**2 + 880*b - 38720.
-5*(b - 88)**2
Factor -5*s**3 + 720*s**2 - 1425*s + 710.
-5*(s - 142)*(s - 1)**2
Suppose -g**5/5 - 31*g**4/5 - 251*g**3/5 - 101*g**2/5 + 204*g + 180 = 0. What is g?
-15, -2, -1, 2
Factor -86*k**4/9 + 46*k**3/9.
-2*k**3*(43*k - 23)/9
Factor -4*m**3 + 492*m**2 - 972*m + 484.
-4*(m - 121)*(m - 1)**2
Find p such that -2*p**2/13 + 952*p/13 - 1896/13 = 0.
2, 474
Factor z**2 - 4*z.
z*(z - 4)
Let -2*m**5 + 6*m**4 + 2*m**3 - 6*m**2 = 0. Calculate m.
-1, 0, 1, 3
Determine t, given that -t**3/3 + 14*t**2 - 80*t/3 = 0.
0, 2, 40
Solve -2*m**2/19 + 118*m/19 + 244/19 = 0.
-2, 61
Find o, given that 10*o**2 + 125*o = 0.
-25/2, 0
Find q, given that -12*q**2/7 + 556*q/7 + 376/7 = 0.
-2/3, 47
Find a such that 3*a**5/4 - 9*a**4/4 - 15*a**3/2 - 3*a**2/2 + 27*a/4 + 15/4 = 0.
-1, 1, 5
What is u in -3*u**3 - 3*u**2 + 48*u + 48 = 0?
-4, -1, 4
What is a in -a**4/4 - 5*a**3 + 55*a**2/4 + 115*a/2 - 66 = 0?
-22, -3, 1, 4
Factor -j**2/4 - 189*j/4 + 485/2.
-(j - 5)*(j + 194)/4
Factor z**4/7 + 10*z**3 + 456*z**2/7 + 954*z/7 + 81.
(z + 1)*(z + 3)**2*(z + 63)/7
Solve -j**5 + 5*j**4/3 + 5*j**3/3 - 5*j**2/3 - 2*j/3 = 0.
-1, -1/3, 0, 1, 2
Factor -5*s**2 - 30*s + 80.
-5*(s - 2)*(s + 8)
Solve -3*d**3/7 + 39*d**2 - 2040*d/7 + 3984/7 = 0 for d.
4, 83
Factor -a**2/2 - 19*a/2 - 39.
-(a + 6)*(a + 13)/2
Suppose 3*z**3/8 - 33*z**2/8 - 135*z/2 = 0. What is z?
-9, 0, 20
Factor 52*g**2 - 3856*g + 592.
4*(g - 74)*(13*g - 2)
Find q, given that -2*q**4/7 + 18*q**3/7 + 30*q**2/7 - 106*q/7 + 60/7 = 0.
-3, 1, 10
Solve 7*w**3 - 20*w**2 + 11*w + 2 = 0.
-1/7, 1, 2
Factor 3*l**3 - 51*l**2 - 252*l.
3*l*(l - 21)*(l + 4)
Determine o so that 6*o**3 - 38*o**2 - 30*o + 14 = 0.
-1, 1/3, 7
Determine u, given that -4*u**2/3 + 52*u/3 - 16 = 0.
1, 12
Let 49*h**5/3 + 14*h**4/3 - 146*h**3/3 + 56*h**2/3 + 25*h/3 + 2/3 = 0. Calculate h.
-2, -1/7, 1
Factor 3*u**2 + 15*u - 72.
3*(u - 3)*(u + 8)
Factor t**3/5 + 2*t**2/5 + t/5.
t*(t + 1)**2/5
Solve 2*o**4 - 2*