10)
Factor 28*j**5 - 20*j**4 - 8*j**3.
4*j**3*(j - 1)*(7*j + 2)
Find v such that -3*v**4/2 + 12*v**3 + 6*v**2 - 48*v = 0.
-2, 0, 2, 8
What is g in -3*g**5/8 + 15*g**4/4 - 75*g**3/8 - 15*g**2/2 + 30*g + 24 = 0?
-1, 4
Find v such that -v**2 + 118*v + 240 = 0.
-2, 120
Factor 2*i**4/9 + 40*i**3/9 - 44*i**2/3 + 136*i/9 - 46/9.
2*(i - 1)**3*(i + 23)/9
Suppose x**2/2 - 14*x = 0. What is x?
0, 28
Determine v, given that 2*v**4 + 66*v**3 + 432*v**2 - 1944*v = 0.
-18, 0, 3
Solve -2*o**2/7 - 384*o/7 + 776/7 = 0 for o.
-194, 2
Factor 4*j**2/5 + 8*j + 84/5.
4*(j + 3)*(j + 7)/5
Factor -p**4/3 + 13*p**3 - 120*p**2 - 400*p/3.
-p*(p - 20)**2*(p + 1)/3
Factor 5*r**3 + 10*r**2 - 1440*r.
5*r*(r - 16)*(r + 18)
Let -4*v**5 - 3004*v**4 + 15084*v**3 - 27188*v**2 + 21160*v - 6048 = 0. What is v?
-756, 1, 2
Factor 3*b**4/2 - 9*b**3/2 - 3*b**2/2 + 9*b/2.
3*b*(b - 3)*(b - 1)*(b + 1)/2
Factor p**4 + p**3 - p**2 - p.
p*(p - 1)*(p + 1)**2
Suppose o**4 + 13*o**3/2 + 6*o**2 - 17*o/2 - 5 = 0. Calculate o.
-5, -2, -1/2, 1
Let 15*m**4 + 1071*m**3 + 18786*m**2 - 12096*m - 7776 = 0. What is m?
-36, -2/5, 1
Factor -w**2 - 1290*w - 416025.
-(w + 645)**2
Determine l so that l**3/5 - 26*l**2/5 - l/5 + 26/5 = 0.
-1, 1, 26
Factor -4*j**2 + 24*j - 36.
-4*(j - 3)**2
Suppose 3*n**3 - 207*n**2 + 1464*n = 0. Calculate n.
0, 8, 61
Solve 215*j**3/2 - 230*j**2 + 275*j/2 - 15 = 0 for j.
6/43, 1
Suppose -175*g**5 + 295*g**4 + 735*g**3 - 55*g**2 - 260*g + 60 = 0. What is g?
-1, 2/7, 2/5, 3
Factor -g**3/3 + 343*g**2 - 117649*g + 40353607/3.
-(g - 343)**3/3
Factor 9*l**5 + 231*l**4 + 2190*l**3 + 8964*l**2 + 12312*l - 5184.
3*(l + 6)**3*(l + 8)*(3*l - 1)
Factor 2*u**2/7 + 16*u/7 + 2.
2*(u + 1)*(u + 7)/7
Determine y so that 2*y**2/3 - 564*y + 119286 = 0.
423
Factor 2*c**2 - 6064*c + 4596512.
2*(c - 1516)**2
Find q such that -2*q**3/7 - 18*q**2/7 - 4*q = 0.
-7, -2, 0
Factor 20*f**2 - 15615*f - 3905.
5*(f - 781)*(4*f + 1)
Find m, given that m**4/3 + m**3/3 - 67*m**2/3 + 215*m/3 - 50 = 0.
-10, 1, 3, 5
Factor -3*d**4 - 399*d**3 + 408*d**2 + 804*d.
-3*d*(d - 2)*(d + 1)*(d + 134)
Factor d**4/2 + 15*d**3/2 - 8*d**2.
d**2*(d - 1)*(d + 16)/2
Determine k so that 5*k**5 - 255*k**4 + 3375*k**3 - 3125*k**2 = 0.
0, 1, 25
Let 4*t**2 - 64*t = 0. What is t?
0, 16
Factor 2*h**3/7 - 414*h**2/7 + 820*h/7.
2*h*(h - 205)*(h - 2)/7
Solve 24*q**3 - 44*q**2 + 16*q + 4 = 0.
-1/6, 1
Solve l**3 + 11*l**2/2 - 37*l/2 + 12 = 0 for l.
-8, 1, 3/2
Factor -4*w**4 - 12*w**3 - 4*w**2 + 12*w + 8.
-4*(w - 1)*(w + 1)**2*(w + 2)
Suppose -5*d**4 + 5*d**3 + 150*d**2 + 380*d + 280 = 0. What is d?
-2, 7
Factor -108*u**5 + 72576*u**4 - 12120012*u**3 - 24433880*u**2 - 16332368*u - 3634208.
-4*(u - 337)**2*(3*u + 2)**3
Solve -20*r**3 + 48*r**2 + 236*r + 120 = 0.
-2, -3/5, 5
Factor z**4 + 2*z**3 - z**2 - 2*z.
z*(z - 1)*(z + 1)*(z + 2)
Factor y**4/4 - 3*y**3 - 27*y**2/4 - 7*y/2.
y*(y - 14)*(y + 1)**2/4
Factor -2*k**2/5 + 568*k/5 - 566/5.
-2*(k - 283)*(k - 1)/5
Find t such that 5*t**3 + 495*t**2 + 12000*t - 12500 = 0.
-50, 1
Factor 3*p**4 + 3*p**3 - 27*p**2 - 27*p.
3*p*(p - 3)*(p + 1)*(p + 3)
Factor -2*v**4 - 2*v**3 + 52*v**2 + 168*v + 144.
-2*(v - 6)*(v + 2)**2*(v + 3)
Factor 20*x**2/3 - 296*x/9 - 20/9.
4*(x - 5)*(15*x + 1)/9
Determine s so that -3*s**5/4 + 201*s**4/4 + 213*s**3/4 - 609*s**2/4 - 105*s/2 + 102 = 0.
-2, -1, 1, 68
What is x in 3*x**4 - 39*x**3 + 138*x**2 - 36*x - 216 = 0?
-1, 2, 6
What is v in 8*v**3 + 294*v**2 + 486*v - 140 = 0?
-35, -2, 1/4
What is w in -w**2 - 439*w + 1326 = 0?
-442, 3
Let 5*d**5 - 30*d**4 - 35*d**3 = 0. Calculate d.
-1, 0, 7
Factor -c**2 - 138*c - 917.
-(c + 7)*(c + 131)
What is v in -3*v**3/7 + 51*v**2/7 - 138*v/7 - 72 = 0?
-2, 7, 12
Find f such that -3*f**2 + 102*f = 0.
0, 34
Factor l**5/7 - 6*l**4/7 + 5*l**3/7 + 24*l**2/7 - 36*l/7.
l*(l - 3)**2*(l - 2)*(l + 2)/7
Factor -g**4/9 + 17*g**3/3 - 722*g**2/9 + 608*g/3 - 128.
-(g - 24)**2*(g - 2)*(g - 1)/9
Determine k, given that 10*k**3 - 4396*k**2 + 482240*k + 193600 = 0.
-2/5, 220
Let 3*d**4/4 - 3*d**3 - 9*d**2 = 0. Calculate d.
-2, 0, 6
Factor -2*v**2/7 + 2*v + 60/7.
-2*(v - 10)*(v + 3)/7
Factor o**3/3 - 283*o**2/3 + 6721*o - 6627.
(o - 141)**2*(o - 1)/3
Factor 2*i**5/5 + 24*i**4/5 + 64*i**3/5 - 28*i**2 - 90*i + 100.
2*(i - 2)*(i - 1)*(i + 5)**3/5
Factor 6*x**3 - 375*x**2 - 192*x + 189.
3*(x - 63)*(x + 1)*(2*x - 1)
Factor -u**2 - 25*u + 84.
-(u - 3)*(u + 28)
Factor w**5 - 10*w**4 + 8*w**3 + 10*w**2 - 9*w.
w*(w - 9)*(w - 1)**2*(w + 1)
Find j, given that -2*j**3 - 150*j**2 + 2016*j - 6264 = 0.
-87, 6
Factor -i**2/4 + 127*i/4 + 987/2.
-(i - 141)*(i + 14)/4
What is v in -19*v**5/4 + 20*v**4 + 49*v**3/2 - 177*v**2 + 657*v/4 - 27 = 0?
-3, 4/19, 1, 3
Let 4*l**2/5 - 136*l + 676/5 = 0. What is l?
1, 169
Let -a**5 + 5*a**3 - 4*a = 0. Calculate a.
-2, -1, 0, 1, 2
Factor -3*f**2 + 6*f + 9.
-3*(f - 3)*(f + 1)
Suppose -28*y**4/3 + 23*y**3 + 43*y**2/3 + 2*y = 0. What is y?
-2/7, -1/4, 0, 3
Find j such that -2*j**2/7 + 516*j/7 + 1040/7 = 0.
-2, 260
Factor -4*k**3/3 - 71*k**2/3 - 143*k/3 + 1352/3.
-(k + 8)*(k + 13)*(4*k - 13)/3
Factor 3*p**3 + 768*p**2.
3*p**2*(p + 256)
Let -2*l**2/7 + 204*l/7 + 416/7 = 0. What is l?
-2, 104
Factor u**2/2 - 391*u + 780.
(u - 780)*(u - 2)/2
Factor -2*c**5/7 + 106*c**4/7 + 330*c**3/7 + 334*c**2/7 + 16*c.
-2*c*(c - 56)*(c + 1)**3/7
Factor -2*l**3/5 + 46*l**2/5 - 222*l/5 + 306/5.
-2*(l - 17)*(l - 3)**2/5
Find w, given that w**4/4 + 7*w**3/2 - 12*w**2 + 25*w/2 - 17/4 = 0.
-17, 1
Let w**3 - 22*w**2 + 153*w - 324 = 0. Calculate w.
4, 9
Solve -5*r**4/3 + 30*r**3 - 500*r**2/3 + 210*r + 1225/3 = 0 for r.
-1, 5, 7
Suppose 9*u**5/4 - 15*u**4/2 - 27*u**3/4 + 3*u**2 = 0. What is u?
-1, 0, 1/3, 4
Find h such that 4*h**2/7 = 0.
0
Factor 3*g**3 - 405*g**2 - 822*g.
3*g*(g - 137)*(g + 2)
What is j in 2*j**3 + 118*j**2 - 496*j + 504 = 0?
-63, 2
Find x, given that 5*x**4 + 25*x**3 - 35*x**2 - 205*x - 150 = 0.
-5, -2, -1, 3
Factor -o**3/2 - 101*o**2 + 410*o - 412.
-(o - 2)**2*(o + 206)/2
Suppose -7*z**2 - 61*z - 54 = 0. Calculate z.
-54/7, -1
Find z such that 2*z**2/13 + 10318*z/13 = 0.
-5159, 0
Factor 89888*g**3/5 - 848*g**2/5 + 2*g/5.
2*g*(212*g - 1)**2/5
Factor 3*m**4 - 18*m**3 - 33*m**2 + 180*m + 300.
3*(m - 5)**2*(m + 2)**2
Find p such that -8*p**5/9 - 22*p**4/9 + 134*p**3/9 - 128*p**2/9 + 8*p/3 = 0.
-6, 0, 1/4, 1, 2
What is c in -5*c**4 - 100*c**3 + 970*c**2 + 300*c - 10125 = 0?
-27, -3, 5
Find o, given that 5*o**5 + 448*o**4 - 4560*o**3 + 9302*o**2 + 9355*o - 4950 = 0.
-99, -1, 2/5, 5
Solve -4*k**3 - 184*k**2 - 352*k = 0.
-44, -2, 0
Solve -3*l**3/7 - 51*l**2/7 - 264*l/7 - 432/7 = 0.
-9, -4
Find v, given that -3*v**3 + 3783*v**2 = 0.
0, 1261
Determine m so that 3*m**3 - 2946*m**2 = 0.
0, 982
Suppose -30*b**5 - 99*b**4 + 123*b**3 + 135*b**2 - 93*b - 36 = 0. Calculate b.
-4, -1, -3/10, 1
Factor 4*q**4/5 - 16*q**3/5 + 24*q**2/5 - 16*q/5 + 4/5.
4*(q - 1)**4/5
What is h in -h**2/7 - 17*h/7 + 38/7 = 0?
-19, 2
Let -12*q**5 + 12416*q**4 - 3203316*q**3 - 4289040*q**2 - 1073296*q = 0. What is q?
-1, -1/3, 0, 518
Factor 2*s**2/7 - 2*s/7 - 40/7.
2*(s - 5)*(s + 4)/7
Determine l so that -2*l**5 + 20*l**4 - 18*l**3 = 0.
0, 1, 9
Factor x**2/2 - 647*x - 1295/2.
(x - 1295)*(x + 1)/2
Factor 8*u**2/5 - 98*u/5 + 24/5.
2*(u - 12)*(4*u - 1)/5
Determine y so that 2*y**2 + 76*y + 74 = 0.
-37, -1
Let -b**3 - 7*b**2 + 17*b - 9 = 0. Calculate b.
-9, 1
Let t**3 - 6*t**2 - 36*t - 40 = 0. What is t?
-2, 10
What is o in o**5/8 + o**4/4 - 51*o**3/8 + 4*o**2 + 50*o - 48 = 0?
-8, -3, 1, 4
Suppose 5*j**5/2 + 33*j**4/4 + 19*j**3/2 + 4*j**2 - 1/4 = 0. Calculate j.
-1, -1/2, 1/5
Find c such that c**2/7 + c/7 - 2/7 = 0.
-2, 1
Determine u so that 36*u**4 + 168*u**3 + 100*u**2 + 16*u = 0.
-4, -1/3, 0
Factor 2*t**4 + 64*t**3 + 636*t**2 + 2240*t + 1666.
2*(t + 1)*(t + 7)**2*(t + 17)
Solve -2*y**3/5 + 1014*y**2/5 + 6138*y/5 + 9234/5 = 0 for y.
-3, 513
Let -4*f**5 + 24*f**4 + 4*f**3 - 24*f**2 = 0. Calculate f.
-1, 0, 1, 6
Solve u**4/4 - 17*u**3/2 + 321*u**2/4 - 136*u + 64 = 0.
1, 16
Factor -58*u**4 - 106*u**3/5 + 4*u**2/5.
-2*u**2*(5*u + 2)*(29*u - 1)/5
Factor -u**3/4 + 2*u**2 + 9*u/4.
-u*(u - 9)*(u + 1)/4
Factor 4*u**3 + 132*u**2 + 680*u + 864.
4*(u + 2)*(u + 4)*(u + 27)
Solve f**2/11 - 5542*f/11 - 5543/11 = 0.
-1, 5543
Factor -2*b**3/9 - 112*b**2/9 - 1310*b/9 - 400/3.
-2*(b + 1)*(b + 15)*(b + 40)/9
Facto