2)
Factor 5*r**4/2 - 10*r**3 - 205*r**2/2 - 90*r.
5*r*(r - 9)*(r + 1)*(r + 4)/2
Factor 44*q**4 + 164*q**3 + 128*q**2 - 48*q.
4*q*(q + 2)**2*(11*q - 3)
Find y such that -y**4/8 - 183*y**3/8 - 181*y**2/8 + 183*y/8 + 91/4 = 0.
-182, -1, 1
Factor 4*d**2 - 160*d + 1600.
4*(d - 20)**2
Factor 14739*n**4/5 + 115311*n**3 - 103275*n**2 + 30525*n - 3000.
3*(n + 40)*(17*n - 5)**3/5
Factor 8*b**4/13 - 216*b**3/13 + 2162*b**2/13 - 9504*b/13 + 15488/13.
2*(b - 8)**2*(2*b - 11)**2/13
Let -4*a**2 + 316*a - 1480 = 0. Calculate a.
5, 74
Determine l so that -5*l**2 + 6975*l + 6980 = 0.
-1, 1396
Determine x so that 4*x**2 - 52*x - 56 = 0.
-1, 14
Factor b**3/3 - 97*b**2/3 + 376*b/3 - 124.
(b - 93)*(b - 2)**2/3
Factor -3*d**4 + 24*d**3 + 27*d**2.
-3*d**2*(d - 9)*(d + 1)
Suppose 3*b**5 - 270*b**4 - 3672*b**3 = 0. What is b?
-12, 0, 102
Find p such that -5*p**4/3 + 26*p**3/3 - 35*p**2/3 + 2*p = 0.
0, 1/5, 2, 3
Determine z, given that 5*z**2 - 1640*z + 134480 = 0.
164
Let 2*f**4 - 20*f**3 + 72*f**2 - 108*f + 54 = 0. Calculate f.
1, 3
Solve -f**2/7 - 79*f/7 + 80/7 = 0.
-80, 1
Factor w**2 + 90*w + 89.
(w + 1)*(w + 89)
Solve -t**3 + 13*t**2/2 + 20*t - 51/2 = 0 for t.
-3, 1, 17/2
Factor 5*p**5 - 5*p**4 - 30*p**3 + 70*p**2 - 55*p + 15.
5*(p - 1)**4*(p + 3)
Solve -8*l**5/5 + 22*l**4 - 156*l**3/5 - 158*l**2/5 + 164*l/5 + 48/5 = 0 for l.
-1, -1/4, 1, 2, 12
Suppose -7*w**4/2 - 137*w**3/4 - 97*w**2/2 + 12*w = 0. Calculate w.
-8, -2, 0, 3/14
Determine a so that -4*a**2 - 20*a + 336 = 0.
-12, 7
Solve 2*u**4/11 - 36*u**3/11 + 14*u**2 - 120*u/11 = 0.
0, 1, 5, 12
Suppose -25*j**5 + 12935*j**4 - 18070*j**3 + 5160*j**2 = 0. Calculate j.
0, 2/5, 1, 516
Find b such that 2*b**2 + 48*b + 46 = 0.
-23, -1
Suppose 2*l**3/7 + 10*l**2 + 34*l - 310/7 = 0. Calculate l.
-31, -5, 1
Factor -5*d**3 - 371*d**2 + 686*d + 152.
-(d - 2)*(d + 76)*(5*d + 1)
Let -q**3/3 - 118*q**2/3 - 1120*q + 2400 = 0. What is q?
-60, 2
Factor -2*o**4/7 + o**3/7 + 13*o**2/7 + 6*o/7.
-o*(o - 3)*(o + 2)*(2*o + 1)/7
Factor -3*b**4 + 6*b**2 - 3.
-3*(b - 1)**2*(b + 1)**2
Determine w so that w**3 - 433*w**2 - 6209*w - 21903 = 0.
-7, 447
Let -23*n**3/5 - 21*n**2/5 + 48*n/5 - 4/5 = 0. Calculate n.
-2, 2/23, 1
Factor 45*k**4 - 7125*k**3 - 4765*k**2 - 795*k.
5*k*(k - 159)*(3*k + 1)**2
Factor k**2/8 + 61*k/8 + 399/4.
(k + 19)*(k + 42)/8
Factor 5*g**5 + 30*g**4 - 115*g**3 - 300*g**2 - 160*g.
5*g*(g - 4)*(g + 1)**2*(g + 8)
Solve -5*z**3/4 - 75*z**2/4 + 20*z = 0 for z.
-16, 0, 1
Solve -2*u**5 - 12*u**4 + 58*u**3 + 12*u**2 - 200*u + 144 = 0.
-9, -2, 1, 2
Let 5*l**2 - 7450*l + 7445 = 0. Calculate l.
1, 1489
Factor -a**5/5 + 6*a**4/5 - 9*a**3/5 + 4*a**2/5.
-a**2*(a - 4)*(a - 1)**2/5
Factor -3*i**4 - 69*i**3 - 282*i**2 - 216*i.
-3*i*(i + 1)*(i + 4)*(i + 18)
Solve -2*q**2/5 - 3918*q/5 - 3916/5 = 0.
-1958, -1
Factor s**4/4 - 3*s**3 - 43*s**2/4 - 15*s/2.
s*(s - 15)*(s + 1)*(s + 2)/4
Solve s**5/2 + s**4 - 69*s**3/2 - 211*s**2 - 416*s - 240 = 0 for s.
-4, -3, -1, 10
Factor 3*c**5/7 + 570*c**4/7 + 27639*c**3/7 + 53580*c**2/7 + 26508*c/7.
3*c*(c + 1)**2*(c + 94)**2/7
Let -u**4/3 + 38*u**3/3 + u**2/3 - 38*u/3 = 0. What is u?
-1, 0, 1, 38
Solve -14*c**3/9 - 51166*c**2/9 + 65804*c/9 - 14624/9 = 0.
-3656, 2/7, 1
Let 2*q**4/17 - 10*q**3/17 - 26*q**2/17 + 154*q/17 - 120/17 = 0. What is q?
-4, 1, 3, 5
Solve 4*h**4 - 460*h**3 - 1908*h**2 + 460*h + 1904 = 0 for h.
-4, -1, 1, 119
Find p, given that -p**3/5 - 18*p**2 + 277*p/5 - 186/5 = 0.
-93, 1, 2
Factor g**2 - 125*g + 124.
(g - 124)*(g - 1)
Factor b**4/3 + 102*b**3 - 616*b**2/3.
b**2*(b - 2)*(b + 308)/3
Solve -2*v**5 - 286*v**4 - 1938*v**3 - 4658*v**2 - 4636*v - 1632 = 0 for v.
-136, -3, -2, -1
Factor 5*p**2/3 - 365*p/3 + 460.
5*(p - 69)*(p - 4)/3
Factor 2*b**3/17 + 52*b**2/17 + 338*b/17.
2*b*(b + 13)**2/17
Factor p**4/4 + p**3/4 - 13*p**2/4 - 25*p/4 - 3.
(p - 4)*(p + 1)**2*(p + 3)/4
Factor -3*d**2/4 + 111*d/4.
-3*d*(d - 37)/4
Suppose 5*p**2 - 13595*p - 13600 = 0. Calculate p.
-1, 2720
Suppose 14*n**5/3 - 410*n**4/3 + 74*n**3/3 + 1258*n**2/3 - 1168*n/3 + 232/3 = 0. What is n?
-2, 2/7, 1, 29
What is i in -15*i**4 - 171*i**3 + 1134*i**2 + 13980*i + 5400 = 0?
-10, -2/5, 9
Suppose w**2/4 + 113*w/4 + 28 = 0. What is w?
-112, -1
Solve 5*v**3 - 130*v**2 - 145*v + 270 = 0.
-2, 1, 27
Determine s, given that -4*s**5 - 42*s**4 + 76*s**3 + 48*s**2 = 0.
-12, -1/2, 0, 2
Let -216*h**4 + 174*h**3 + 49*h**2 - 6*h - 1 = 0. Calculate h.
-1/4, -1/9, 1/6, 1
Determine z, given that -5*z**5 + 15*z**4 + 15*z**3 - 55*z**2 + 30*z = 0.
-2, 0, 1, 3
Find y such that -y**2 + 1054*y - 277729 = 0.
527
Find h such that -2*h**5/9 + 52*h**4/9 + 176*h**3/9 - 52*h**2/9 - 58*h/3 = 0.
-3, -1, 0, 1, 29
Factor -x**2/4 + 191*x/4 - 189/2.
-(x - 189)*(x - 2)/4
Determine h so that 5*h**4 + 70*h**3 + 240*h**2 + 90*h - 405 = 0.
-9, -3, 1
Let -5*l**2/4 + 291*l/4 - 29/2 = 0. Calculate l.
1/5, 58
Factor -28*t**4 + 92*t**3 - 108*t**2 + 52*t - 8.
-4*(t - 1)**3*(7*t - 2)
Solve x**4 + 59*x**3/5 + 93*x**2/5 - 511*x/5 + 98/5 = 0 for x.
-7, 1/5, 2
Factor -4*h**5 - 35420*h**4 - 125457640*h**3 - 222185480440*h**2 - 196745242929620*h - 69687165045671404.
-4*(h + 1771)**5
Let -8*h**5 + 26*h**4 + 162*h**3 - 706*h**2 + 646*h - 120 = 0. What is h?
-5, 1/4, 1, 3, 4
Factor -2*d**4/5 + 4*d**3/5 + 26*d**2/5 + 4*d.
-2*d*(d - 5)*(d + 1)*(d + 2)/5
What is a in -625*a**5/7 + 7375*a**4/7 - 26400*a**3/7 + 42120*a**2/7 - 31536*a/7 + 1296 = 0?
6/5, 7
Let -4*r**3 + 2448*r**2 - 499392*r + 33958656 = 0. What is r?
204
Factor 2*m**4/9 - 8*m**3/9 + 2*m**2/3.
2*m**2*(m - 3)*(m - 1)/9
Determine x so that 5*x**4 - 410*x**3 + 1555*x**2 + 410*x - 1560 = 0.
-1, 1, 4, 78
Let -2*p**4 - 2*p**3 + 32*p**2 - 40*p = 0. What is p?
-5, 0, 2
What is x in x**3/4 - 5*x**2/2 + 4*x = 0?
0, 2, 8
Factor 41*s**2 - 4098*s - 200.
(s - 100)*(41*s + 2)
Factor 2*y**3/15 + 2*y**2/3 - 8*y/15 - 8/3.
2*(y - 2)*(y + 2)*(y + 5)/15
Factor 14*m**3/5 + 18*m**2/5 - 24*m/5 - 8/5.
2*(m - 1)*(m + 2)*(7*m + 2)/5
Suppose 25*n**5 + 65*n**4 - 5*n**3 - 85*n**2 - 20*n + 20 = 0. What is n?
-2, -1, 2/5, 1
Factor d**4/3 - 5*d**3 + 12*d**2 + 4*d/3 - 16.
(d - 12)*(d - 2)**2*(d + 1)/3
Determine u, given that -u**2/5 - 95*u - 474/5 = 0.
-474, -1
Suppose 2*d**4 + 44*d**3 + 262*d**2 + 364*d = 0. What is d?
-13, -7, -2, 0
Let -6*j**3/11 + 222*j**2/11 - 2016*j/11 = 0. What is j?
0, 16, 21
Factor -l**4/3 - 70*l**3/3 + 293*l**2/3 - 74*l.
-l*(l - 3)*(l - 1)*(l + 74)/3
Let -15*a**5 + 220*a**4 + 480*a**3 - 10590*a**2 - 14465*a - 3630 = 0. Calculate a.
-6, -1, -1/3, 11
Factor 25*p**4/6 + 45*p**3 + 143*p**2/2 + 110*p/3 + 6.
(p + 1)*(p + 9)*(5*p + 2)**2/6
Solve k**3 - 49*k**2 - 101*k - 51 = 0.
-1, 51
Factor f**2 - 21*f + 38.
(f - 19)*(f - 2)
Factor a**3/4 + 7*a**2/4 + 11*a/4 + 5/4.
(a + 1)**2*(a + 5)/4
Solve -n**4/3 - 10*n**3/3 + 103*n**2/3 - 260*n/3 + 68 = 0 for n.
-17, 2, 3
Suppose -2*f**5 - 12*f**4 + 152*f**3 - 364*f**2 + 330*f - 104 = 0. What is f?
-13, 1, 4
Solve -4*z**3/17 + 10*z**2/17 + 28*z/17 - 16/17 = 0 for z.
-2, 1/2, 4
Determine z so that -z**3/3 - 14*z**2/3 - 16*z = 0.
-8, -6, 0
Let 5*x**3 - 825*x**2 + 45375*x - 831875 = 0. What is x?
55
Determine m so that 9*m**4/2 - 677*m**3/2 + 408*m**2 - 74*m = 0.
0, 2/9, 1, 74
Let 2*u**5 - 5*u**4 - 16*u**3 + 13*u**2 + 14*u - 8 = 0. What is u?
-2, -1, 1/2, 1, 4
Find p, given that 4*p**5 + 88*p**4 + 304*p**3 + 288*p**2 = 0.
-18, -2, 0
Factor 5*z**2 - 50*z + 45.
5*(z - 9)*(z - 1)
Solve -1024*p**5/13 + 15744*p**4/13 - 60848*p**3/13 - 72814*p**2/13 + 475398*p/13 + 470596/13 = 0 for p.
-2, -1, 49/8
Determine f, given that 15*f**2 - 760*f - 255 = 0.
-1/3, 51
Factor -12*h**3 + 1772*h**2 - 1172*h - 588.
-4*(h - 147)*(h - 1)*(3*h + 1)
Factor m**2/6 + 39*m/2.
m*(m + 117)/6
Solve 2*d**5 - 202*d**4 + 5372*d**3 - 12652*d**2 - 42238*d - 24010 = 0 for d.
-1, 5, 49
Suppose -196608*w**2 - 3840*w - 75/4 = 0. What is w?
-5/512
Factor 105*w**4 + 528*w**3 + 15*w**2.
3*w**2*(w + 5)*(35*w + 1)
Factor -5*b**4 + 15*b**3 + 390*b**2 - 400*b.
-5*b*(b - 10)*(b - 1)*(b + 8)
Solve 6*w**5/5 + 8*w**4 + 8*w**3 - 12*w**2 - 46*w/5 + 4 = 0 for w.
-5, -2, -1, 1/3, 1
Determine c so that -4*c**5 - 16*c**4 + 96*c**3 + 40*c**2 - 284*c + 168 = 0.
-7, -2, 1, 3
Solve -2*a**2 - 64*a = 0.
-32, 0
Factor 3*g**4 + 12*g**3 - 96*g**2 - 432*g - 432.
3*(g - 6)*(g + 2)**2*(g + 6)
Factor -4*u**2 + 952*u - 56644.
-4*(u - 119)**2
Factor 2*g**4 + 15*g*