tor m**2 - 116*m - 236.
(m - 118)*(m + 2)
Solve 2*y**3 + 10*y**2 + 4*y - 16 = 0.
-4, -2, 1
Determine w, given that 3*w**4 - 117*w**3 + 1683*w**2 - 10527*w + 23958 = 0.
6, 11
What is f in -f**4 + 6*f**3 + 36*f**2 - 216*f = 0?
-6, 0, 6
Factor 3*c**2/7 - 456*c/7 + 900/7.
3*(c - 150)*(c - 2)/7
Determine r so that -2*r**3 - 12*r**2 + 64 = 0.
-4, 2
Determine h, given that -27*h**4/4 + 117*h**3/4 + 75*h**2/2 - 81*h + 30 = 0.
-2, 2/3, 5
Factor -g**2/5 - 8*g/5 + 9/5.
-(g - 1)*(g + 9)/5
Factor 21*o**2 - 7176*o - 2052.
3*(o - 342)*(7*o + 2)
Solve -2*u**3/5 + 16*u**2/5 - 32*u/5 = 0.
0, 4
Factor -r**3 - 8*r**2 - 13*r - 6.
-(r + 1)**2*(r + 6)
Factor -p**5 - 22*p**4 - 141*p**3 - 56*p**2 + 1600*p + 1536.
-(p - 3)*(p + 1)*(p + 8)**3
Solve -2*w**3/7 - 2*w**2 + 692*w/7 + 704/7 = 0.
-22, -1, 16
Let k**5 - 7*k**4 + 11*k**3 + 7*k**2 - 12*k = 0. Calculate k.
-1, 0, 1, 3, 4
Factor 3*t**4 - 855*t**3 - 873*t**2 + 4299*t - 2574.
3*(t - 286)*(t - 1)**2*(t + 3)
Factor 21*t**3 - 4653*t**2 + 256743*t + 110889.
3*(t - 111)**2*(7*t + 3)
Find p, given that 4*p**4/3 - 272*p**3/3 + 88*p**2 + 272*p/3 - 268/3 = 0.
-1, 1, 67
Factor -5*k**5 - 35*k**4 - 30*k**3.
-5*k**3*(k + 1)*(k + 6)
Factor 28*x**3/5 + 2416*x**2/5 + 688*x/5.
4*x*(x + 86)*(7*x + 2)/5
Factor -4*p**3 - 68*p**2 - 152*p + 224.
-4*(p - 1)*(p + 4)*(p + 14)
Factor 5*a**3 + 45*a**2 + 90*a.
5*a*(a + 3)*(a + 6)
Factor 9*z**3/2 + 15*z**2 + 33*z/2 + 6.
3*(z + 1)**2*(3*z + 4)/2
Factor 2*q**3/7 - 8*q**2/7 - 22*q/7 - 12/7.
2*(q - 6)*(q + 1)**2/7
Suppose l**2/2 - 23*l/3 + 5/2 = 0. Calculate l.
1/3, 15
Suppose -i**2/5 - 4*i/5 = 0. Calculate i.
-4, 0
Find b, given that -4*b**4 + 20*b**3 + 76*b**2 - 116*b - 168 = 0.
-3, -1, 2, 7
Determine l so that l**5/4 - 5*l**4/4 + 5*l**3/4 + 5*l**2/4 - 3*l/2 = 0.
-1, 0, 1, 2, 3
Factor 3*l**4/4 + 69*l**3/4 - 27*l**2 - 216*l.
3*l*(l - 4)*(l + 3)*(l + 24)/4
Factor 2*k**2/17 + 662*k/17 + 1968/17.
2*(k + 3)*(k + 328)/17
Factor 21*m**4 - 39*m**3 + 15*m**2 + 3*m.
3*m*(m - 1)**2*(7*m + 1)
Factor -n**3/4 + 13*n**2/4 + 57*n/2.
-n*(n - 19)*(n + 6)/4
Suppose -4*a**2 - 52*a + 120 = 0. Calculate a.
-15, 2
Suppose s**4/6 + s**3/6 - 7*s**2/6 - s/6 + 1 = 0. Calculate s.
-3, -1, 1, 2
Determine n so that -6*n**5 + 177*n**4 - 1167*n**3 - 7236*n**2 + 76464*n - 36288 = 0.
-7, 1/2, 12
Suppose 3*x**3 - 66*x**2 + 159*x + 228 = 0. What is x?
-1, 4, 19
Factor 5*c**3 + 125*c**2 + 440*c + 420.
5*(c + 2)**2*(c + 21)
Solve -l**3/5 - 27*l**2 - 4623*l/5 - 4489/5 = 0.
-67, -1
Factor -4*c**4 - 8*c**3 + 20*c**2 + 24*c.
-4*c*(c - 2)*(c + 1)*(c + 3)
Solve q**2/6 - 77*q/2 - 116/3 = 0.
-1, 232
What is h in -3*h**4 - 6078*h**3 + 18252*h**2 - 18258*h + 6087 = 0?
-2029, 1
Find x, given that -2*x**2/3 - 16*x = 0.
-24, 0
Let 27*c**3/2 - 99*c**2 + 93*c/8 + 129/4 = 0. Calculate c.
-1/2, 2/3, 43/6
Factor 4*b**2 + 76*b + 280.
4*(b + 5)*(b + 14)
Factor 2*u**5 + 248*u**4 + 7436*u**3 - 15624*u**2 + 7938*u.
2*u*(u - 1)**2*(u + 63)**2
Factor -3*q**4 + 24*q**3 + 12*q**2 - 96*q.
-3*q*(q - 8)*(q - 2)*(q + 2)
Factor 2*w**2/21 + 1580*w/21 + 312050/21.
2*(w + 395)**2/21
Suppose -4*j**4 - 536*j**3 + 48*j**2 + 6368*j - 8576 = 0. What is j?
-134, -4, 2
Factor 200*o**4/3 + 760*o**3 + 1926*o**2 - 1368*o + 216.
2*(o + 6)**2*(10*o - 3)**2/3
Factor w**4/7 - 138*w**3/7 + 5029*w**2/7 - 18492*w/7 + 17956/7.
(w - 67)**2*(w - 2)**2/7
Determine h so that h**2 + 168*h + 167 = 0.
-167, -1
Let -2*w**5/5 - 36*w**4 + 1804*w**3/5 + 432*w**2 - 1802*w/5 - 396 = 0. What is w?
-99, -1, 1, 10
Solve -2*l**2/7 - 106*l/7 - 300/7 = 0.
-50, -3
Factor -6*s**2/11 + 1194*s/11 + 1200/11.
-6*(s - 200)*(s + 1)/11
Factor -g**2 - 3*g + 270.
-(g - 15)*(g + 18)
Find w such that 5*w**2 + 915*w + 1810 = 0.
-181, -2
Let -z**4 + 10*z**3 + 99*z**2 - 360*z = 0. What is z?
-8, 0, 3, 15
Determine l, given that -l**4/8 + 537*l**3/8 - 535*l**2/8 - 537*l/8 + 67 = 0.
-1, 1, 536
Factor -3*u**3/4 + 81*u**2/4.
-3*u**2*(u - 27)/4
Factor -l**4 - 29*l**3 - 175*l**2 - 147*l.
-l*(l + 1)*(l + 7)*(l + 21)
Suppose -4*i**4 + 76*i**3 - 392*i**2 + 320*i = 0. What is i?
0, 1, 8, 10
Find q, given that -q**3 + 17*q**2 + q - 17 = 0.
-1, 1, 17
Factor -2*v**5 + 8*v**4 - 8*v**3.
-2*v**3*(v - 2)**2
Factor -78*o**4 + 171*o**3 - 30*o**2.
-3*o**2*(o - 2)*(26*o - 5)
Factor -4*b**2 - 3256*b - 662596.
-4*(b + 407)**2
Find g, given that -5*g**3 + 5*g**2 + 245*g - 245 = 0.
-7, 1, 7
Factor 3*f**2 - 452*f - 151.
(f - 151)*(3*f + 1)
Factor 301*m**4/5 - 1804*m**3/5 + 720*m**2 - 2384*m/5 - 16/5.
(m - 2)**3*(301*m + 2)/5
Let 35*x**3/2 - 4380*x**2 + 549375*x/2 - 78125 = 0. Calculate x.
2/7, 125
Factor -s**3 - 21*s**2 + 45*s - 23.
-(s - 1)**2*(s + 23)
Factor t**3/5 - 82*t**2/5 + 1596*t/5 + 3528/5.
(t - 42)**2*(t + 2)/5
Factor 4*b**3 - 240*b**2 + 4800*b - 32000.
4*(b - 20)**3
Determine h so that 2*h**3 - 10*h**2 - 32*h + 160 = 0.
-4, 4, 5
Solve -f**4/2 + 122*f**3 - 11163*f**2 + 453962*f - 13845841/2 = 0.
61
Factor -3*c**4 + 12*c**2.
-3*c**2*(c - 2)*(c + 2)
Factor -8*r**3 - 5280*r**2 - 5274*r - 1318.
-2*(r + 659)*(2*r + 1)**2
Determine d, given that -d**3/4 + 3*d**2/4 + 321*d/4 - 323/4 = 0.
-17, 1, 19
Let 5*m**2 - 1040*m + 54080 = 0. What is m?
104
Suppose -4*i**4 + 20*i**3 - 28*i**2 + 12*i = 0. Calculate i.
0, 1, 3
Factor -75*s**2 - 2540*s - 64516/3.
-(15*s + 254)**2/3
Factor -5*y**3 + 345*y**2 + 350*y.
-5*y*(y - 70)*(y + 1)
Determine c, given that -60*c**2 - c = 0.
-1/60, 0
Determine t, given that -4*t**2/9 + 212*t/9 = 0.
0, 53
What is s in 4*s**3 - 156*s**2 + 296*s = 0?
0, 2, 37
Factor d**5/7 + d**4 - 8*d**3/7.
d**3*(d - 1)*(d + 8)/7
Determine p, given that 4802*p**4/5 - 244216*p**3/5 + 4657548*p**2/5 - 39478264*p/5 + 125484482/5 = 0.
89/7
Suppose v**2/4 + 249*v/2 - 3535/4 = 0. What is v?
-505, 7
Suppose 15*h**5 - 111*h**4 - 213*h**3 - 33*h**2 + 54*h = 0. What is h?
-1, 0, 2/5, 9
Factor z**2/4 + 62*z + 3844.
(z + 124)**2/4
Determine n so that n**4 + 32*n**3 + 142*n**2 + 192*n + 81 = 0.
-27, -3, -1
Determine q, given that -q**2/4 - q/4 + 18 = 0.
-9, 8
Factor 5*l**5 + 255*l**4 + 690*l**3 - 1580*l**2 - 6840*l - 5760.
5*(l - 3)*(l + 2)**3*(l + 48)
Factor -4*o**4 + 748*o**3 - 744*o**2.
-4*o**2*(o - 186)*(o - 1)
Determine w so that 5*w**2 + 11850*w = 0.
-2370, 0
Factor -9*g**4 + 38*g**3 - 53*g**2 + 28*g - 4.
-(g - 2)*(g - 1)**2*(9*g - 2)
Solve -3*d**3/5 + 201*d/5 - 378/5 = 0.
-9, 2, 7
Suppose 3*q**3/8 + 117*q**2/8 = 0. Calculate q.
-39, 0
Factor 3*f**5 - 27*f**4 + 69*f**3 - 9*f**2 - 108*f.
3*f*(f - 4)*(f - 3)**2*(f + 1)
Determine n, given that -n**4/3 + 9*n**3 - 68*n**2/3 - 32*n = 0.
-1, 0, 4, 24
Factor x**2 + 27*x - 1078.
(x - 22)*(x + 49)
Factor -4*p**3 + 928*p**2 - 51920*p - 222784.
-4*(p - 118)**2*(p + 4)
Factor 2*h**2 - 84*h.
2*h*(h - 42)
Suppose -3*h**2 - 6072*h - 3072432 = 0. What is h?
-1012
Find a such that 3*a**5/2 - 39*a**4 + 108*a**3 + 1920*a**2 + 3072*a = 0.
-4, -2, 0, 16
Solve 4*y**4 - 436*y**3 - 900*y**2 + 1332*y = 0.
-3, 0, 1, 111
Solve 5*c**2/3 + 143*c/3 - 58/3 = 0 for c.
-29, 2/5
Factor -3*c**3 + 30*c**2 + 69*c + 36.
-3*(c - 12)*(c + 1)**2
Factor -m**2/3 + 2*m/3 + 1.
-(m - 3)*(m + 1)/3
Factor s**5/4 - 795*s**4/4 + 159195*s**3/4 - 472825*s**2/4 + 117810*s - 39204.
(s - 396)**2*(s - 1)**3/4
Factor -15*j**4 + 33*j**3 + 39*j**2 - 9*j.
-3*j*(j - 3)*(j + 1)*(5*j - 1)
Factor -2*s**3/9 - 70*s**2/9 - 134*s/9 - 22/3.
-2*(s + 1)**2*(s + 33)/9
Determine v, given that v**4/8 - 63*v**3/4 + 3969*v**2/8 = 0.
0, 63
Factor 5*g**3 + 125*g**2 - 130*g.
5*g*(g - 1)*(g + 26)
Factor m**2/4 - 7*m + 13.
(m - 26)*(m - 2)/4
Find s such that -5*s**3 + 545*s**2 - 15120*s + 14580 = 0.
1, 54
What is u in 2*u**2/11 - 2124*u/11 + 563922/11 = 0?
531
Solve -2*t**4/9 - 8*t**3/9 + 4*t**2/3 + 8*t/9 - 10/9 = 0 for t.
-5, -1, 1
Let -2*a**4/9 + 50*a**3/9 - 46*a**2/3 + 134*a/9 - 44/9 = 0. What is a?
1, 22
Factor w**2/9 + 14*w - 127/9.
(w - 1)*(w + 127)/9
Factor 2*h**5/13 + 266*h**4/13 - 810*h**3/13 + 814*h**2/13 - 272*h/13.
2*h*(h - 1)**3*(h + 136)/13
Determine i so that -4*i**4 - 20*i**3 + 44*i**2 + 132*i + 72 = 0.
-6, -1, 3
Let -36*r**3 + 3036*r**2 + 2036*r + 340 = 0. What is r?
-1/3, 85
Factor 15*m**2 + 110*m - 80.
5*(m + 8)*(3*m - 2)
Let 196*r**4/3 - 868*r**3/3 - 635*r**2/3 + 128*r - 15 = 0. Calculate r.
-1, 3/14, 5
Find h such that -h**4/2 + 9*h**3/2 + 24*h**2 + 26*h = 0.
-2, 0, 13
Factor 2*m**2/11 - 30*m/11 - 152/11.
2*(m - 19)*(m + 4)/11
Let 3*q**5 + 24*q**4 + 5