2.
(z + 380)*(4*z - 1)/8
Factor -4*k**2 - 40*k - 36.
-4*(k + 1)*(k + 9)
Find k, given that -2*k**5 - 588*k**4 - 2328*k**3 - 2320*k**2 = 0.
-290, -2, 0
Factor 5*o**4 + 435*o**3 + 8310*o**2 - 50140*o + 63480.
5*(o - 3)*(o - 2)*(o + 46)**2
Factor 20*v**2 + 2052*v - 824.
4*(v + 103)*(5*v - 2)
Suppose 3*f**2 - 114*f + 1083 = 0. Calculate f.
19
Find p such that -p**2 - 3*p + 4 = 0.
-4, 1
Factor v**2/3 - v/3 - 10.
(v - 6)*(v + 5)/3
Factor 3*f**3 - 117*f**2 + 1197*f - 1083.
3*(f - 19)**2*(f - 1)
Factor 5*f**2 + 530*f - 6435.
5*(f - 11)*(f + 117)
Factor q**4 - 13*q**3 + 48*q**2 - 68*q + 32.
(q - 8)*(q - 2)**2*(q - 1)
Factor 3*n**2 + 57*n + 54.
3*(n + 1)*(n + 18)
Factor 1350*z**3 - 1830*z**2 + 1568*z/3 - 128/3.
2*(z - 1)*(45*z - 8)**2/3
Find h such that -5*h**2 - 100*h - 180 = 0.
-18, -2
Determine t so that -8*t**5 + 12*t**4 - 4*t**2 = 0.
-1/2, 0, 1
Suppose 2*w**3 - 126*w**2 + 1920*w + 2048 = 0. Calculate w.
-1, 32
Factor 2*f**3 + 10*f**2 + 14*f + 6.
2*(f + 1)**2*(f + 3)
Factor 2*c**2 - 8006*c.
2*c*(c - 4003)
Factor v**4 - 80*v**3 + 444*v**2.
v**2*(v - 74)*(v - 6)
Factor -32*h**3 - 2908*h**2 - 5332*h + 712.
-4*(h + 2)*(h + 89)*(8*h - 1)
Factor 2*c**4/7 - 2*c**3/7 - 4*c**2/7.
2*c**2*(c - 2)*(c + 1)/7
Find o such that -58*o**4 - 228*o**3 - 274*o**2 - 96*o + 8 = 0.
-2, -1, 2/29
What is p in -5*p**5 + 240*p**4 - 465*p**3 + 230*p**2 = 0?
0, 1, 46
Factor 3*z**3 + 84*z**2 + 81*z.
3*z*(z + 1)*(z + 27)
Factor 5*i**3 - 130*i**2 + 960*i - 1440.
5*(i - 12)**2*(i - 2)
Find z such that -21*z**3 - 582*z**2 - 399*z + 162 = 0.
-27, -1, 2/7
Find p, given that -5*p**2 + 83630*p - 349698845 = 0.
8363
Factor k**2/5 + 8*k/5 - 9/5.
(k - 1)*(k + 9)/5
Determine q so that 2*q**3/5 + 36*q**2/5 + 24*q + 112/5 = 0.
-14, -2
Factor 2*r**4/9 + 10*r**3/9 - 8*r**2/9 - 40*r/9.
2*r*(r - 2)*(r + 2)*(r + 5)/9
Determine o so that -25*o**4 - 180*o**3 - 210*o**2 + 340*o + 75 = 0.
-5, -3, -1/5, 1
Solve 5*b**4/4 - 73*b**3/4 + 40*b**2 - 11*b - 12 = 0 for b.
-2/5, 1, 2, 12
What is l in 2*l**2 - 216*l + 630 = 0?
3, 105
Factor -z**4/3 + 8*z**3/3 + 20*z**2/3.
-z**2*(z - 10)*(z + 2)/3
Factor -6*t**5/5 - 21*t**4/5 - 18*t**3/5.
-3*t**3*(t + 2)*(2*t + 3)/5
Find n such that -35*n**3 - 669*n**2 - 72*n + 76 = 0.
-19, -2/5, 2/7
Factor -n**2 - 31*n + 140.
-(n - 4)*(n + 35)
Solve 4*m**4/5 - 118*m**3/5 - 186*m**2/5 = 0 for m.
-3/2, 0, 31
Solve -5*m**4 - 465*m**3 + 470*m**2 = 0 for m.
-94, 0, 1
Find b, given that -3*b**5/7 + 12*b**4/7 + 24*b**3/7 - 6*b**2 - 3*b + 30/7 = 0.
-2, -1, 1, 5
Factor -2*m**4 - 35*m**3 - 102*m**2 + 460*m - 200.
-(m - 2)*(m + 10)**2*(2*m - 1)
Suppose 4*b**2 - 104*b - 224 = 0. Calculate b.
-2, 28
Determine n so that -5*n**4 - 32*n**3 - 63*n**2 - 36*n = 0.
-3, -12/5, -1, 0
Factor 4*p**4/7 - 240*p**3/7 - 3796*p**2/7.
4*p**2*(p - 73)*(p + 13)/7
Factor o**2/3 - 28*o/3 + 64.
(o - 16)*(o - 12)/3
Determine m so that -2*m**5 + 28*m**4 + 222*m**3 + 352*m**2 + 160*m = 0.
-4, -1, 0, 20
Find h, given that -2*h**2 - 110*h + 348 = 0.
-58, 3
Factor w**5 - 35*w**4.
w**4*(w - 35)
Determine w, given that -2*w**4/3 - 16*w**3/3 - 46*w**2/3 - 56*w/3 - 8 = 0.
-3, -2, -1
Suppose -4*h**3 + 20*h**2 + 128*h + 144 = 0. Calculate h.
-2, 9
Suppose a**3 - 105*a**2 + 3675*a - 42875 = 0. Calculate a.
35
Find f such that -5*f**2/8 + 1401*f/4 - 140 = 0.
2/5, 560
Let -78*r**2 - 76*r + 2 = 0. What is r?
-1, 1/39
Suppose -3*i**2 + 1446*i - 1443 = 0. Calculate i.
1, 481
Determine l, given that 4*l**2 - 5208*l + 5204 = 0.
1, 1301
Suppose 9*w**5/7 - 1059*w**4/7 - 4701*w**3/7 - 6921*w**2/7 - 4020*w/7 - 732/7 = 0. Calculate w.
-2, -1, -1/3, 122
Solve 4*x**2 + 44*x + 72 = 0 for x.
-9, -2
Factor x**3/6 - 169*x**2 + 57122*x - 19307236/3.
(x - 338)**3/6
Determine t, given that 5*t**3 - 5*t**2 - 40*t + 60 = 0.
-3, 2
Factor 4*r**3/5 - 96*r**2/5 + 768*r/5 - 2048/5.
4*(r - 8)**3/5
Suppose 2*o**5/7 - 372*o**4/7 - 2680*o**3/7 - 4236*o**2/7 - 1930*o/7 = 0. Calculate o.
-5, -1, 0, 193
Factor -4*q**2 + 608*q - 3504.
-4*(q - 146)*(q - 6)
Factor -33*h**2 + 117*h - 54.
-3*(h - 3)*(11*h - 6)
Let 2*d**4/7 + 130*d**3/7 - 402*d**2/7 + 58*d - 136/7 = 0. Calculate d.
-68, 1
Factor -l**2/4 - 21*l - 441.
-(l + 42)**2/4
Let d**2/5 + 556*d/5 + 77284/5 = 0. What is d?
-278
Factor 2*h**3/13 + 4*h**2 + 34*h/13 - 4624/13.
2*(h - 8)*(h + 17)**2/13
Find t such that 2*t**2/25 - 12*t = 0.
0, 150
Find p, given that 4*p**3 - 92*p**2 + 168*p = 0.
0, 2, 21
Let -p**2/9 - 10516*p/9 - 27646564/9 = 0. What is p?
-5258
Factor 2*w**2 - 18*w.
2*w*(w - 9)
Factor 2*m**3/7 + 10*m**2/7 + 8*m/7.
2*m*(m + 1)*(m + 4)/7
Factor -18*a**4 + 64*a**3 - 368*a**2/9 - 256*a/9 - 32/9.
-2*(a - 2)**2*(9*a + 2)**2/9
Determine h so that -3*h**4 - 258*h**3 - 5787*h**2 - 9828*h + 15876 = 0.
-42, -3, 1
Factor -b**3 + 1099*b**2 + 1100*b.
-b*(b - 1100)*(b + 1)
Factor h**5/7 + h**4/7 - 3*h**3/7 - h**2/7 + 2*h/7.
h*(h - 1)**2*(h + 1)*(h + 2)/7
Suppose n**5 + 40*n**4 + 216*n**3 + 418*n**2 + 343*n + 102 = 0. Calculate n.
-34, -3, -1
What is n in -n**2/4 + 11*n/4 - 5/2 = 0?
1, 10
Factor -2*j**3/11 + 26*j**2/11 - 68*j/11 - 96/11.
-2*(j - 8)*(j - 6)*(j + 1)/11
Factor 5*w**2/3 + 175*w/3 - 1000/3.
5*(w - 5)*(w + 40)/3
Suppose -2*g**3/9 - 14*g**2/9 + 28*g/9 + 32/3 = 0. What is g?
-8, -2, 3
Factor -2*t**3/3 + 16*t**2/3 + 114*t + 108.
-2*(t - 18)*(t + 1)*(t + 9)/3
Find g such that -g**2 + 39*g - 74 = 0.
2, 37
Factor -4*f**3 + 40*f**2 + 4*f - 40.
-4*(f - 10)*(f - 1)*(f + 1)
Solve -4*w**3/3 - 13336*w**2/9 + 8896*w/9 = 0 for w.
-1112, 0, 2/3
Solve -l**3/8 + 37*l**2/8 - 56*l + 441/2 = 0.
9, 14
Determine x, given that -2*x**3/5 - 12*x**2/5 + 6*x - 16/5 = 0.
-8, 1
Let 12*b**5 - 52*b**4 - 112*b**3 - 48*b**2 = 0. What is b?
-1, -2/3, 0, 6
Suppose 8*c**2/5 - 54*c/5 - 14/5 = 0. What is c?
-1/4, 7
What is r in -5*r**5 - 370*r**4 - 365*r**3 = 0?
-73, -1, 0
Solve 5*o**5 + 60*o**4 + 270*o**3 + 560*o**2 + 525*o + 180 = 0.
-4, -3, -1
Factor -o**2/6 - 4072*o/3 - 8290592/3.
-(o + 4072)**2/6
Factor -717*n**3 + 2874*n**2 - 2892*n + 24.
-3*(n - 2)**2*(239*n - 2)
Factor 26*p**4 + 94*p**3 + 100*p**2 + 32*p.
2*p*(p + 1)*(p + 2)*(13*p + 8)
Determine x so that -936*x**5/5 + 7782*x**4/5 + 9844*x**3/5 - 18072*x**2/5 + 2672*x/5 + 384 = 0.
-2, -1/4, 2/3, 120/13
Factor -5*r**3 + 24*r**2 - 4*r - 48.
-(r - 4)*(r - 2)*(5*r + 6)
Determine h so that 2*h**5 + 2*h**4 - 16*h**3 - 16*h**2 + 32*h + 32 = 0.
-2, -1, 2
Let -5*f**4/4 + 160*f**3 - 7680*f**2 + 163840*f - 1310720 = 0. Calculate f.
32
Let 15*w**4 - 771*w**3 + 3846*w**2 - 5556*w + 1656 = 0. Calculate w.
2/5, 2, 3, 46
Solve -4*l**4 + 72*l**3 - 324*l**2 = 0.
0, 9
Factor 5*b**2 + 130*b + 765.
5*(b + 9)*(b + 17)
Suppose 5*w**4/4 + 39*w**3/4 + 17*w**2 - 12*w - 16 = 0. Calculate w.
-4, -4/5, 1
Factor -n**4/6 - 5*n**3/3 + 31*n**2/6 + 44*n/3 + 8.
-(n - 4)*(n + 1)**2*(n + 12)/6
Solve j**5 + 31*j**4 + 319*j**3 + 1069*j**2 - 320*j - 1100 = 0.
-11, -10, -1, 1
Determine j, given that -39*j**3/5 - 30*j**2 - 132*j/5 + 24/5 = 0.
-2, 2/13
Factor -2*v**4 + 98*v**3 + 2*v**2 - 98*v.
-2*v*(v - 49)*(v - 1)*(v + 1)
Let -n**5 - 7*n**4/3 + 7*n**3/3 + n**2 = 0. What is n?
-3, -1/3, 0, 1
Find o such that -3*o**3/4 - 33*o**2/4 - 39*o/2 - 12 = 0.
-8, -2, -1
Factor 2*r**4 - 20*r**3 + 72*r**2 - 108*r + 54.
2*(r - 3)**3*(r - 1)
Factor n**2/8 + 215*n/4 + 46225/8.
(n + 215)**2/8
Let v**3 + 129*v**2 + 5547*v + 79507 = 0. Calculate v.
-43
Factor -2*l**5/13 - 24*l**4/13 + 2*l**3.
-2*l**3*(l - 1)*(l + 13)/13
Factor 5*k**3 + 70*k**2 + 300*k + 360.
5*(k + 2)*(k + 6)**2
Find b such that 34*b**4/7 + 2792*b**3/7 + 3082*b**2/7 + 324*b/7 = 0.
-81, -1, -2/17, 0
Let -d**4/6 - 2*d**3/3 + d**2 + 2*d/3 - 5/6 = 0. Calculate d.
-5, -1, 1
Factor -5*x**2 + 630*x - 1240.
-5*(x - 124)*(x - 2)
What is h in 2*h**2 - 40*h + 38 = 0?
1, 19
Solve 2*b**4 + 84*b**3 - 86*b**2 = 0.
-43, 0, 1
Suppose 28*m**4 - 1828*m**3 + 8556*m**2 + 797860*m - 228616 = 0. Calculate m.
-17, 2/7, 41
Solve 2*c**2 - 338*c - 1384 = 0.
-4, 173
What is m in -m**3/2 - 809*m**2 - 326430*m + 656100 = 0?
-810, 2
Suppose t**3/4 + 9*t**2 + 69*t/4 - 2645/2 = 0. What is t?
-23, 10
Determine z so that -2*z**3/13 - 18*z**2/13 + 920*z/13 + 72 = 0.
-26, -1, 18
Suppose -5*k**2 + 7895*k + 15810 = 0. Calculate k.
-2, 1581
Solve 16*y**5 + 2412*y**4 + 11188*y**3 + 13452*y**2 + 2908*y - 1752 = 0 for y.
-146, -3, -1, 1/4
Find n such that -3*n**2/4 - 33*n/2 - 171/4 = 0.
-19, -3
Find g, given that 