**2.
t**2*(t - 1)*(t + 2)*(9*t + 2)
Factor s**5 - 9*s**4 + 7*s**3 + 9*s**2 - 8*s.
s*(s - 8)*(s - 1)**2*(s + 1)
Suppose 2*b**3/7 - 32*b**2/7 + 82*b/7 - 52/7 = 0. Calculate b.
1, 2, 13
Suppose 3*s**3 - 51*s**2 - 240*s - 252 = 0. Calculate s.
-2, 21
Solve -12*o**5/5 + 39*o**4/5 + 99*o**3/5 - 156*o**2/5 - 204*o/5 = 0 for o.
-2, -1, 0, 2, 17/4
Factor -5*w**3/3 + 45*w**2 - 370*w/3 + 80.
-5*(w - 24)*(w - 2)*(w - 1)/3
Factor -f**3/4 + 471*f**2/4 - 73947*f/4 + 3869893/4.
-(f - 157)**3/4
Suppose -15*d**2 - 140*d + 340 = 0. Calculate d.
-34/3, 2
Find u such that -2*u**2/7 - 22*u/7 - 20/7 = 0.
-10, -1
Let -3*u**2 - 639*u = 0. Calculate u.
-213, 0
Let -3*r**5 + 6*r**4 + 9*r**3 = 0. What is r?
-1, 0, 3
Factor a**3 + 19*a**2 - 252*a.
a*(a - 9)*(a + 28)
Find s such that s**2/4 - 47*s/2 - 291/4 = 0.
-3, 97
Factor 5*i**3 + 245*i**2 + 2375*i - 2625.
5*(i - 1)*(i + 15)*(i + 35)
Solve -1495*b**4 + 1505*b**3 - 10*b**2 = 0.
0, 2/299, 1
Factor 3*i**5/4 - 900*i**4 + 432000*i**3 - 103680000*i**2 + 12441600000*i - 597196800000.
3*(i - 240)**5/4
Suppose -t**4 - 5*t**3 + 7*t**2 + 41*t + 30 = 0. What is t?
-5, -2, -1, 3
Determine c so that -c**3 + 34*c**2 + 495*c = 0.
-11, 0, 45
Factor -2*w**2/9 - 206*w/9 - 388/3.
-2*(w + 6)*(w + 97)/9
Factor -h**3/7 - 3*h**2/7 + 9*h/7 - 5/7.
-(h - 1)**2*(h + 5)/7
Find j such that -372100*j**2/3 + 4880*j/3 - 16/3 = 0.
2/305
Let 4*j**3 + 16*j**2 - 60*j - 72 = 0. What is j?
-6, -1, 3
Factor -1555*o**3 - 3080*o**2 - 1495*o + 30.
-5*(o + 1)**2*(311*o - 6)
Find m, given that -35*m**4 + 3000*m**3 - 5055*m**2 + 1250*m + 840 = 0.
-2/7, 1, 84
Suppose 2*x**3/7 - 236*x**2/7 - 478*x/7 - 240/7 = 0. What is x?
-1, 120
Find n such that -3*n**4/4 - 5*n**3/4 + 149*n**2/4 + 245*n/4 - 49/2 = 0.
-7, -2, 1/3, 7
Find m such that 2*m**4/15 - 2*m**3/3 + 8*m**2/15 = 0.
0, 1, 4
Suppose 54*p**5 + 39*p**4 - 129*p**3 + 24*p**2 + 12*p = 0. Calculate p.
-2, -2/9, 0, 1/2, 1
Factor 2*s**4/5 - 128*s**3/5 + 126*s**2/5.
2*s**2*(s - 63)*(s - 1)/5
Factor 2*q**3/7 + 22*q**2/7 + 64*q/7 + 8.
2*(q + 2)**2*(q + 7)/7
Factor 5*w**3 - 70*w**2 - 340*w - 360.
5*(w - 18)*(w + 2)**2
Solve 4*q**5 + 12*q**4 - 4*q**3 - 44*q**2 - 48*q - 16 = 0.
-2, -1, 2
Solve -14*z**5 + 102*z**4 - 224*z**3 + 168*z**2 - 32*z = 0.
0, 2/7, 1, 2, 4
Factor -3*w**3 - 1059*w**2 - 92925*w + 93987.
-3*(w - 1)*(w + 177)**2
Factor 2*i**2/7 - 36*i/7 - 38/7.
2*(i - 19)*(i + 1)/7
Determine i so that -25*i**3/6 + 655*i**2/2 + 263*i/2 + 79/6 = 0.
-1/5, 79
Factor -15*l**2 + 81*l + 54.
-3*(l - 6)*(5*l + 3)
Factor -t**4/7 + 10*t**3/7 + 23*t**2/7 + 12*t/7.
-t*(t - 12)*(t + 1)**2/7
Find v such that -4*v**5 + 15*v**4 + 16*v**3 - 53*v**2 + 18*v + 8 = 0.
-2, -1/4, 1, 4
Solve 4*w**3 - 100*w**2 + 188*w - 92 = 0.
1, 23
Find z, given that 2*z**3/3 + 80*z**2/3 - 146*z + 180 = 0.
-45, 2, 3
Factor -245*c**3 - 1365*c**2 + 620*c - 60.
-5*(c + 6)*(7*c - 2)*(7*c - 1)
Factor 36*a**2 + 12344*a - 1372.
4*(a + 343)*(9*a - 1)
Solve k**3/5 + 7*k**2/5 + 14*k/5 + 8/5 = 0.
-4, -2, -1
Determine l, given that -l**4/4 + 3*l**3/2 + 49*l**2/4 + 33*l/2 = 0.
-3, -2, 0, 11
Let -2*o**2/11 + 46*o/11 = 0. Calculate o.
0, 23
Factor 4*d**4/7 - 4*d**3/7 - 24*d**2/7.
4*d**2*(d - 3)*(d + 2)/7
Factor -2*f**2/11 + 50*f/11 + 52/11.
-2*(f - 26)*(f + 1)/11
Find m such that 2*m**5/5 - 4*m**4/5 - 48*m**3/5 - 32*m**2/5 + 32*m + 192/5 = 0.
-2, 2, 6
Determine q so that 78*q**4/11 + 230*q**3/11 + 222*q**2/11 + 6*q - 4/11 = 0.
-1, 2/39
Find c, given that 12*c**5 - 180*c**4 + 147*c**3 + 288*c**2 + 84*c = 0.
-1/2, 0, 2, 14
Determine s, given that -3*s**4/8 + 843*s**3/2 - 950895*s**2/8 + 944163*s/4 = 0.
0, 2, 561
Factor 5*t**2/3 + 70*t/3 - 120.
5*(t - 4)*(t + 18)/3
Factor -4*m**3 + 120*m**2 - 1200*m + 4000.
-4*(m - 10)**3
Factor 5*b**4 + 775*b**3 - 785*b**2 - 775*b + 780.
5*(b - 1)**2*(b + 1)*(b + 156)
Factor -2*a**2/7 + 270*a/7 - 1048/7.
-2*(a - 131)*(a - 4)/7
Factor -5*d**2 - 29120*d - 42398720.
-5*(d + 2912)**2
Factor -t**5 + t**4 + 22*t**3 + 44*t**2 + 24*t.
-t*(t - 6)*(t + 1)*(t + 2)**2
Suppose -u**2 - 63*u + 2668 = 0. What is u?
-92, 29
Factor 3*h**4/5 - 114*h**3/5 + 192*h**2 + 480*h.
3*h*(h - 20)**2*(h + 2)/5
Factor -2*w**3 - 8*w**2 + 70*w + 300.
-2*(w - 6)*(w + 5)**2
What is c in 2*c**2/5 - 52*c/5 + 176/5 = 0?
4, 22
Find h such that 3*h**3 - 150*h**2 - 1833*h + 1980 = 0.
-11, 1, 60
Factor -4*q**4 - 272*q**3 - 4884*q**2 - 8712*q.
-4*q*(q + 2)*(q + 33)**2
Factor -b**2/3 + 13*b + 40/3.
-(b - 40)*(b + 1)/3
Factor 5*m**2 - 210*m.
5*m*(m - 42)
Factor i**2/3 + 170*i/3 + 664/3.
(i + 4)*(i + 166)/3
Solve 14*z**2/3 + 208*z/3 + 56 = 0.
-14, -6/7
Find q, given that -2*q**4/7 + 62*q**3/7 - 64*q**2 - 512*q/7 = 0.
-1, 0, 16
Factor p**3 - 7*p**2 - 10*p + 16.
(p - 8)*(p - 1)*(p + 2)
Determine h so that 2*h**4/11 - 36*h**3/11 - 126*h**2/11 = 0.
-3, 0, 21
Factor -g**2/3 + 908*g + 2725/3.
-(g - 2725)*(g + 1)/3
Factor 5*n**2 + 65*n + 150.
5*(n + 3)*(n + 10)
Factor 5*q**2 + 205*q + 2000.
5*(q + 16)*(q + 25)
Solve -r**5/6 + 3*r**4 - 15*r**3/2 - 2*r**2/3 + 10*r = 0 for r.
-1, 0, 2, 15
Suppose d**2/2 - 17*d/2 + 36 = 0. What is d?
8, 9
What is l in 2*l**4/3 + 92*l**3 - 568*l**2 + 3440*l/3 - 768 = 0?
-144, 2
Find j, given that -81*j**5 + 693*j**4 - 1624*j**3 + 468*j**2 + 480*j + 64 = 0.
-2/9, 1, 4
Determine y, given that -4*y**3 - 684*y**2 - 5264*y - 7824 = 0.
-163, -6, -2
Factor 5*d**4 + 4240*d**3 - 8495*d**2 + 4250*d.
5*d*(d - 1)**2*(d + 850)
Suppose -4*y**3/5 + 144*y**2/5 - 1536*y/5 + 4096/5 = 0. Calculate y.
4, 16
Solve 3*j**4/4 - 75*j**3 + 3537*j**2/4 - 3159*j + 2349 = 0 for j.
1, 6, 87
Factor 2*r**5 + 18*r**4 + 46*r**3 + 30*r**2.
2*r**2*(r + 1)*(r + 3)*(r + 5)
Solve -4*t**4 + 180*t**3 - 2228*t**2 + 3612*t + 17640 = 0.
-2, 5, 21
Suppose -2*c**5/7 + 24*c**4/7 + 116*c**3/7 + 184*c**2/7 + 18*c + 32/7 = 0. What is c?
-1, 16
Find r such that 51*r**5/2 - 117*r**4/2 - 3*r**3 + 36*r**2 = 0.
-12/17, 0, 1, 2
Factor -2*a**4 + 60*a**3 - 306*a**2 + 440*a - 192.
-2*(a - 24)*(a - 4)*(a - 1)**2
Suppose -w**3/3 - 28*w**2/3 - 65*w = 0. What is w?
-15, -13, 0
Factor -3*w**2 + 9906*w - 8177403.
-3*(w - 1651)**2
Factor -832*m**4 + 752*m**3 - 252*m**2 + 37*m - 2.
-(4*m - 1)**3*(13*m - 2)
Find c such that 2*c**5/11 + 36*c**4/11 + 234*c**3/11 + 656*c**2/11 + 744*c/11 + 288/11 = 0.
-6, -4, -1
Factor -i**2/6 - i/3 + 4/3.
-(i - 2)*(i + 4)/6
Factor -18*c**3/7 - 120*c**2/7 - 74*c/7 - 12/7.
-2*(c + 6)*(3*c + 1)**2/7
Determine h so that 2*h**3/3 + 34*h**2/3 + 20*h = 0.
-15, -2, 0
Let 5*y**2 + 192*y + 76 = 0. What is y?
-38, -2/5
Factor -3*a**3/4 + 207*a**2/4 - 3465*a/4 - 3675/4.
-3*(a - 35)**2*(a + 1)/4
Factor -3*p**2/4 + 1947*p/4 + 975/2.
-3*(p - 650)*(p + 1)/4
Factor 2*q**2/19 - 2*q/19.
2*q*(q - 1)/19
Suppose 3*d**3 + 126*d**2 - 261*d + 132 = 0. What is d?
-44, 1
Factor u**2 - 1256*u + 394384.
(u - 628)**2
Factor 2*t**2/9 - 82*t/3.
2*t*(t - 123)/9
Suppose 5*y**2 - 6360*y + 2022480 = 0. Calculate y.
636
Factor -27*i**4 - 87*i**3 + 90*i**2 + 24*i.
-3*i*(i - 1)*(i + 4)*(9*i + 2)
Factor -4*g**3 + 40*g**2 + 4*g - 40.
-4*(g - 10)*(g - 1)*(g + 1)
Suppose -20*w**5 - 785*w**4 - 955*w**3 - 190*w**2 = 0. Calculate w.
-38, -1, -1/4, 0
Factor 3*u**3/5 - 168*u**2/5 + 1536*u/5 + 24576/5.
3*(u - 32)**2*(u + 8)/5
What is t in -5*t**2 - 360*t = 0?
-72, 0
Factor 2*k**4/7 + 72*k**3/7 + 296*k**2/7 - 6336*k/7 + 15488/7.
2*(k - 4)**2*(k + 22)**2/7
Suppose r**3/2 + 51*r**2/2 - 81*r = 0. What is r?
-54, 0, 3
Factor l**3/2 - 65*l**2/2 + 29*l + 192.
(l - 64)*(l - 3)*(l + 2)/2
Factor -5*n**4 + 20*n**3 - 15*n**2 - 20*n + 20.
-5*(n - 2)**2*(n - 1)*(n + 1)
Factor -18*u**4 - 69*u**3 + 102*u**2 - 15*u.
-3*u*(u - 1)*(u + 5)*(6*u - 1)
Factor 15*p**2 + 2320*p - 775.
5*(p + 155)*(3*p - 1)
Find v such that -2*v**2/3 + 8*v/3 - 8/3 = 0.
2
Factor -3*p**2/2 + 7*p/2 + 10.
-(p - 4)*(3*p + 5)/2
Factor 4*a**3 + 88*a**2 + 148*a - 240.
4*(a - 1)*(a + 3)*(a + 20)
Factor c**5/6 - 13*c**4/6 + 49*c**3/6 - 79*c**2/6 + 29*c/3 - 8/3.
(c - 8)*(c - 2)*(c - 1)**3/6
Let 27*g**4/2 + 79*g**3/2 + 75*g**2/2 + 21*g/2 - 1 = 0. Calculate g.
-1, 2/27
What is c in 2*c**5/7 - 10*c**4/7 + 12*c**3/7 + 8*c**2/7 - 16*c/7 = 0?
-1, 0, 2
Determine j so that -2*j**5 - 30*j**4 - 64*j**3 + 96*j**2 = 0.
-12, -4, 0, 1
Find b, given that 4*b**4 + 14*b**3 + 16*b**2 + 6*b = 0.
-3/2, -1, 0
Factor l**2/2 - 8*l.
l*(l - 16)/2
Let 13*z**5/5 - 24*z**4/5 - 329*z**3/5 - 24*z**2/5 + 316*z/5 + 48/5 = 0. Calculat