1)
Factor -5*b**2 + 3650*b - 666125.
-5*(b - 365)**2
Factor -4*o**4/5 + 32*o**3/5 + 288*o**2/5 + 128*o + 448/5.
-4*(o - 14)*(o + 2)**3/5
Factor 27*k**4 + 204*k**3 - 1013*k**2/3 + 356*k/3 - 12.
(k - 1)*(k + 9)*(9*k - 2)**2/3
Factor 2*z**2/3 + 8*z/3 - 10/3.
2*(z - 1)*(z + 5)/3
Let -3*l**2/5 + 18*l/5 - 27/5 = 0. Calculate l.
3
Determine z, given that -5*z**5 + 80*z**4 + 270*z**3 + 280*z**2 + 95*z = 0.
-1, 0, 19
Factor p**2/2 + 2*p/3 + 1/6.
(p + 1)*(3*p + 1)/6
Suppose 4*m**4/5 - 112*m**3/5 + 564*m**2/5 - 792*m/5 = 0. Calculate m.
0, 3, 22
Factor u**5/4 + u**4 - 11*u**3/4 + 3*u**2/2.
u**2*(u - 1)**2*(u + 6)/4
Factor 18*n**3 + 222*n**2 + 817*n/2 - 1849.
(n - 2)*(6*n + 43)**2/2
Let 2*j**3 - 82*j**2 - 290*j + 28594 = 0. Calculate j.
-17, 29
Solve k**5/6 + 5*k**4/6 + 5*k**3/3 + 5*k**2/3 + 5*k/6 + 1/6 = 0.
-1
Solve 42*b**5 + 87*b**4/2 - 117*b**3 - 429*b**2/2 - 114*b - 18 = 0.
-1, -3/4, -2/7, 2
Factor 4*b**4/3 + 32*b**3/3 - 68*b**2/3 - 80*b + 144.
4*(b - 2)**2*(b + 3)*(b + 9)/3
Factor 4*m**2/5 - 228*m/5 - 1792/5.
4*(m - 64)*(m + 7)/5
Find u such that -3*u**2 - 6*u - 3 = 0.
-1
Determine j, given that -3*j**3/7 + 30*j**2/7 = 0.
0, 10
Factor -m**3/3 - m**2 + 48*m + 832/3.
-(m - 13)*(m + 8)**2/3
Find o, given that 2*o**3 - 20*o**2 - 46*o - 24 = 0.
-1, 12
Factor 3*n**3/7 + n**2 - 2*n/7 - 8/7.
(n - 1)*(n + 2)*(3*n + 4)/7
Factor 28*w**3 - 20*w**2 - 8*w.
4*w*(w - 1)*(7*w + 2)
Solve -3*g**4 - 3*g**3 + 9*g**2 + 15*g + 6 = 0.
-1, 2
Factor -5*y**2/7 - 109*y/7 + 22/7.
-(y + 22)*(5*y - 1)/7
Solve 4*f**3 - 36*f**2 + 96*f - 64 = 0.
1, 4
Factor -5*m**4 + 130*m**3 - 1065*m**2 + 2860*m - 2420.
-5*(m - 11)**2*(m - 2)**2
Suppose -9*w**4 - 63*w**3 - 92*w**2 + 84*w + 80 = 0. Calculate w.
-4, -10/3, -2/3, 1
Let -2*v**5 - 10*v**4 - 10*v**3 + 10*v**2 + 12*v = 0. What is v?
-3, -2, -1, 0, 1
Factor -2*b**2/9 + 1312*b/9 - 215168/9.
-2*(b - 328)**2/9
Solve -p**2 - 17*p + 138 = 0 for p.
-23, 6
Suppose -y**2/4 - 655*y/2 - 429025/4 = 0. What is y?
-655
Suppose 45*f**3 - 174*f**2 - 564*f - 72 = 0. Calculate f.
-2, -2/15, 6
Solve -d**4 - 14*d**3 - 12*d**2 + 270*d - 243 = 0 for d.
-9, 1, 3
Determine g so that -3*g**3/2 + 86*g**2 - 57*g/2 = 0.
0, 1/3, 57
Suppose -36*s**4 - 128*s**3 + 172*s**2 + 600*s - 288 = 0. Calculate s.
-3, 4/9, 2
Factor -2*t**2/15 + 16*t/3 + 352/15.
-2*(t - 44)*(t + 4)/15
Let -2*i**2/3 - 20*i/3 - 6 = 0. What is i?
-9, -1
Factor -2*j**2/3 - 360*j - 48600.
-2*(j + 270)**2/3
Factor 4*k**3 + 4*k**2 - 68*k + 60.
4*(k - 3)*(k - 1)*(k + 5)
Factor b**5 - 3*b**3 + 2*b**2.
b**2*(b - 1)**2*(b + 2)
Factor 3*l**3/2 - 43*l**2/10 + 12*l/5 + 2/5.
(l - 2)*(l - 1)*(15*l + 2)/10
Solve -m**3/8 - 13*m**2/8 + 45*m/4 = 0.
-18, 0, 5
Determine u, given that -1417928*u**2/13 + 16840*u/13 - 50/13 = 0.
5/842
Let 4*k**4/7 + 40*k**3/7 - 304*k**2/7 - 40*k/7 + 300/7 = 0. Calculate k.
-15, -1, 1, 5
Factor 4*l**3 - 548*l**2 + 2656*l - 2112.
4*(l - 132)*(l - 4)*(l - 1)
Determine o, given that -16*o**5 - 44*o**4 + 92*o**3 + 28*o**2 - 76*o + 16 = 0.
-4, -1, 1/4, 1
Let -2*o**2 - 226*o - 872 = 0. Calculate o.
-109, -4
Suppose 5*l**3 - 40*l**2 - 115*l + 150 = 0. What is l?
-3, 1, 10
Solve -h**5/4 - h**4/2 + 3*h**3/4 = 0 for h.
-3, 0, 1
Factor 28*j**4 + 128*j**3 + 108*j**2 - 72*j.
4*j*(j + 2)*(j + 3)*(7*j - 3)
Factor v**2 - 270*v - 271.
(v - 271)*(v + 1)
Factor o**5/3 - 36*o**4 + 1075*o**3 - 16838*o**2/3 + 10676*o - 6936.
(o - 51)**2*(o - 2)**3/3
Factor -r**5/6 + 8*r**4/3 - 26*r**3/3 + 8*r**2.
-r**2*(r - 12)*(r - 2)**2/6
Solve 10*t**4/11 + 6*t**3/11 - 4*t**2/11 = 0 for t.
-1, 0, 2/5
Suppose -q**2/4 - 584*q - 341056 = 0. Calculate q.
-1168
Let 4*b**4 - 40*b**3 + 144*b**2 - 216*b + 108 = 0. What is b?
1, 3
Find i, given that -6*i**3 + 22*i**2 + 38*i + 10 = 0.
-1, -1/3, 5
What is h in 3*h**2 - 10080*h + 8467200 = 0?
1680
Determine o so that -o**4/5 - 23*o**3/5 + 158*o**2/5 + 4716*o/5 + 4536/5 = 0.
-18, -1, 14
What is i in -i**5/3 - 19*i**4/3 - 21*i**3 + 187*i**2/3 - 104*i/3 = 0?
-13, -8, 0, 1
Factor -5*c**4 - 9200*c**3 - 4222790*c**2 + 8473200*c - 4241205.
-5*(c - 1)**2*(c + 921)**2
Factor -j**2/9 + 16/9.
-(j - 4)*(j + 4)/9
Factor 5*v**3 - 47*v**2 + 118*v - 40.
(v - 5)*(v - 4)*(5*v - 2)
Factor -15*m**3 - 1386*m**2 + 843*m + 558.
-3*(m - 1)*(m + 93)*(5*m + 2)
Suppose -2*j**5/9 + 2*j**4/3 - 4*j**3/9 = 0. Calculate j.
0, 1, 2
Factor -4*r**4 - 28*r**3 + 172*r**2 + 1036*r - 1176.
-4*(r - 6)*(r - 1)*(r + 7)**2
Factor -4*i**2 - 20*i - 24.
-4*(i + 2)*(i + 3)
Determine q so that -q**2 - 104*q - 2704 = 0.
-52
Factor -4*t**2/7 - 412*t + 8688/7.
-4*(t - 3)*(t + 724)/7
Let -4*z**4 + 36*z**3 - 72*z**2 - 16*z + 96 = 0. What is z?
-1, 2, 6
Factor 4*y**3 + 8*y**2.
4*y**2*(y + 2)
Find k such that k**3 - 3*k**2 - 18*k = 0.
-3, 0, 6
Find k such that -k**3/4 - 231*k**2/4 - 3306*k + 3364 = 0.
-116, 1
Factor -k**4 - 42*k**3 + 3*k**2 + 124*k - 84.
-(k - 1)**2*(k + 2)*(k + 42)
Solve 8*u**4/13 - 42*u**3/13 - 254*u**2/13 - 150*u/13 + 54/13 = 0.
-3, -1, 1/4, 9
Suppose -4*z**2/5 - 216*z - 14580 = 0. Calculate z.
-135
Suppose -4*c**4 - 64*c**3 - 288*c**2 - 512*c - 320 = 0. Calculate c.
-10, -2
Find i, given that i**4/4 + 17*i**3/4 + 8*i**2 - 35*i = 0.
-14, -5, 0, 2
Factor 5*y**4 + 95*y**3 + 515*y**2 + 825*y.
5*y*(y + 3)*(y + 5)*(y + 11)
Solve 4*a**5 - 48*a**4 + 117*a**3 + 169*a**2 = 0.
-1, 0, 13/2
Solve 2*s**4/3 - 68*s**3/3 + 62*s**2 + 8*s/3 - 248/3 = 0.
-1, 2, 31
Factor -2*k**3/11 + 14*k**2/11 + 2*k/11 - 14/11.
-2*(k - 7)*(k - 1)*(k + 1)/11
Factor -2*q**3 - 46*q**2 - 350*q - 882.
-2*(q + 7)**2*(q + 9)
Factor 3*l**2/5 + 21258*l/5 + 37658547/5.
3*(l + 3543)**2/5
Factor t**3/6 - 3*t**2/2 + 4*t - 8/3.
(t - 4)**2*(t - 1)/6
Suppose t**4/9 - 38*t**3/9 + 256*t**2/9 - 160*t/3 = 0. Calculate t.
0, 4, 30
Factor 3*c**4/2 + 21*c**3/2 - 51*c**2/2 + 27*c/2.
3*c*(c - 1)**2*(c + 9)/2
Factor -2*s**5 - 680*s**4 - 76610*s**3 - 2807820*s**2 + 5848200*s - 2963088.
-2*(s - 1)**2*(s + 114)**3
Suppose -6*m**5/5 - 21*m**4/5 + 72*m**3/5 + 138*m**2/5 + 6*m/5 - 9 = 0. Calculate m.
-5, -1, 1/2, 3
Factor -4*n**3 - 184*n**2 - 2788*n - 13872.
-4*(n + 12)*(n + 17)**2
Find o such that o**3 + 14*o**2 + 60*o + 72 = 0.
-6, -2
Let -w**4 + 72*w**3 - 69*w**2 - 142*w = 0. What is w?
-1, 0, 2, 71
Let -4*y**3 + 592*y**2 + 1804*y + 1208 = 0. Calculate y.
-2, -1, 151
Solve -9*u**2/5 - 69*u/5 - 42/5 = 0.
-7, -2/3
Factor c**2/5 - 94*c/5 - 291/5.
(c - 97)*(c + 3)/5
Factor -2*r**3/21 + 2*r**2/21 + 32*r/21 - 32/21.
-2*(r - 4)*(r - 1)*(r + 4)/21
Factor -5*z**2 + 80*z - 320.
-5*(z - 8)**2
Find d such that 2*d**4/13 - 20*d**3/13 + 18*d**2/13 = 0.
0, 1, 9
Factor -2*d**3 - 82*d**2 - 704*d + 2904.
-2*(d - 3)*(d + 22)**2
Determine m, given that 7*m**4 - 29*m**3/3 + 4*m**2/3 + 4*m/3 = 0.
-2/7, 0, 2/3, 1
Let 3*w**3 - 327*w**2 + 1272*w - 1260 = 0. Calculate w.
2, 105
Let -s**5/3 - 2*s**4 + 11*s**3 + 26*s**2/3 - 76*s + 72 = 0. Calculate s.
-9, -3, 2
Factor -5*v**2 - 1310*v - 85805.
-5*(v + 131)**2
Determine b, given that 2*b**5/3 - 34*b**4/3 - 352*b**3/3 - 1136*b**2/3 - 1568*b/3 - 800/3 = 0.
-2, 25
Find p, given that 3*p**3/5 - 477*p**2/5 - 3*p/5 + 477/5 = 0.
-1, 1, 159
Let 32*g**3/19 + 2320*g**2/19 - 1166*g/19 + 146/19 = 0. What is g?
-73, 1/4
Solve -2*x**5/7 + 4*x**4/7 + 22*x**3/7 - 24*x**2/7 - 72*x/7 = 0 for x.
-2, 0, 3
Find k, given that 2*k**3 + 56*k**2 - 526*k - 1260 = 0.
-35, -2, 9
Factor -2*w**3/11 - 18*w**2/11 + 1296*w/11 - 864.
-2*(w - 12)**2*(w + 33)/11
Factor -4*k**3 + 48*k**2 + 4*k - 48.
-4*(k - 12)*(k - 1)*(k + 1)
Factor -w**2/4 - 473*w/4 - 118.
-(w + 1)*(w + 472)/4
What is l in -3*l**4 - 15*l**3 + 147*l**2 + 1095*l + 1800 = 0?
-5, -3, 8
What is f in 4*f**2/5 - 64/5 = 0?
-4, 4
Factor -u**4 + 418*u**3 - 44097*u**2 + 86944*u - 43264.
-(u - 208)**2*(u - 1)**2
Suppose -5*n**2 - 410*n + 1720 = 0. Calculate n.
-86, 4
What is j in 2*j**3/7 - 50*j**2/7 + 286*j/7 + 338/7 = 0?
-1, 13
Factor 4*x**3/9 + 1448*x**2/9 - 1460*x/9 - 968/3.
4*(x - 2)*(x + 1)*(x + 363)/9
Factor -36*j**2 - 1468*j + 328.
-4*(j + 41)*(9*j - 2)
Factor 2*g**4 + 1224*g**3 - 1226*g**2.
2*g**2*(g - 1)*(g + 613)
Factor 5*i**3 + 70*i**2 + 160*i - 640.
5*(i - 2)*(i + 8)**2
Suppose 12*q**4 - 8*q**3 - 12*q**2 + 8*q = 0. Calculate q.
-1, 0, 2/3, 1
Factor 4*y**3 + 4*y**2 - 36*y - 36.
4*(y - 3)*(y + 1)*(y + 3)
Suppose -4*n**4 + 212*n**3 - 3652*n**2 + 21084*n - 17640 = 0. What is n?
1, 10, 21
Let -9*g**5 + 51*g**4 - 54*g**3 - 78*g**2 