**5 + 74*k**4 + 936*k**3 + 4320*k**2 + 3456*k = 0 for k.
-12, -1, 0
Factor -2*n**4 + 16*n**3 + 118*n**2 + 156*n.
-2*n*(n - 13)*(n + 2)*(n + 3)
Find g, given that 5*g**3/2 + 240*g**2 + 9945*g/2 + 29575 = 0.
-70, -13
Suppose -3*y**2/2 - 645*y/2 + 324 = 0. Calculate y.
-216, 1
Find g, given that -2*g**2/13 - 136*g/13 + 1738/13 = 0.
-79, 11
Find s, given that -3*s**5/5 + 17*s**4/5 - 3*s**3 - 5*s**2 + 18*s/5 + 8/5 = 0.
-1, -1/3, 1, 2, 4
Factor 3*v**3 - 63*v**2 - 642*v + 1512.
3*(v - 28)*(v - 2)*(v + 9)
Solve h**5/4 + 61*h**4/4 + 999*h**3/4 + 5719*h**2/4 + 2170*h + 975 = 0.
-39, -10, -1
Solve p**2 - 315*p + 626 = 0.
2, 313
Find g, given that -2*g**4/9 + 20*g**3/9 - 64*g**2/9 + 64*g/9 = 0.
0, 2, 4
Factor j**5/4 + 3*j**4 + 47*j**3/4 + 13*j**2 - 12*j - 16.
(j - 1)*(j + 1)*(j + 4)**3/4
Factor -2*k**3/7 + 32*k**2/7.
-2*k**2*(k - 16)/7
Suppose -2*t**2/3 - 8*t + 26/3 = 0. What is t?
-13, 1
Suppose 2*f**4 - 238*f**3 + 6956*f**2 + 7680*f - 14400 = 0. What is f?
-2, 1, 60
Factor -6*s**3 + 99*s**2 - 2835*s/8 - 3675/8.
-3*(s + 1)*(4*s - 35)**2/8
Solve -14*i**4/9 - 40*i**3/3 - 344*i**2/9 - 128*i/3 - 128/9 = 0 for i.
-4, -2, -4/7
Let -8*x**3/5 - 134*x**2/5 - 468*x/5 + 162 = 0. What is x?
-9, 5/4
Determine a so that 4*a**2/5 + 58*a/5 - 6 = 0.
-15, 1/2
What is q in -75*q**2 - 18295*q + 1220 = 0?
-244, 1/15
Determine q so that 5*q**3 - 70*q**2 + 215*q - 150 = 0.
1, 3, 10
Let 2*r**3/5 - 184*r**2/5 - 376*r/5 = 0. Calculate r.
-2, 0, 94
Find w such that -3*w**4 - 21*w**3 - 42*w**2 - 24*w = 0.
-4, -2, -1, 0
Factor b**2/4 + 24*b - 97/4.
(b - 1)*(b + 97)/4
Let 3*d**4 + 138*d**3 + 261*d**2 - 138*d - 264 = 0. Calculate d.
-44, -2, -1, 1
Solve 3*z**4 + 9276*z**3 + 10755522*z**2 + 5542679004*z + 1071122717523 = 0 for z.
-773
Solve 12*g**4 - 153*g**3 + 105*g**2 + 36*g = 0 for g.
-1/4, 0, 1, 12
Factor 3*q**4/2 - 51*q**3/2 + 273*q**2/2 - 441*q/2.
3*q*(q - 7)**2*(q - 3)/2
Suppose -p**2/5 - 2*p/5 + 224/5 = 0. Calculate p.
-16, 14
Factor -5*n**5/4 - 33*n**4/4 + 45*n**3/4 + 425*n**2/4.
-n**2*(n + 5)**2*(5*n - 17)/4
Factor 25*w**3 - 30*w**2 - 25*w + 30.
5*(w - 1)*(w + 1)*(5*w - 6)
Suppose 3*h**3 - 75*h**2 + 561*h - 1089 = 0. Calculate h.
3, 11
Factor 23078773125*q**3 + 83166750*q**2 + 99900*q + 40.
5*(1665*q + 2)**3
Determine o so that 2*o**2/7 - 24*o/7 - 90/7 = 0.
-3, 15
Solve -3*w**2/5 - 9141*w/5 + 9144/5 = 0.
-3048, 1
Solve 5*r**3 - 3990*r**2 - 16020*r - 16040 = 0.
-2, 802
Factor 3*v**4 - 6*v**3 - 72*v**2.
3*v**2*(v - 6)*(v + 4)
Solve -5*b**5/3 - 710*b**4/3 + 240*b**3 + 710*b**2/3 - 715*b/3 = 0 for b.
-143, -1, 0, 1
Factor 3*a**2/5 + 36*a/5 + 81/5.
3*(a + 3)*(a + 9)/5
Solve 48*p**5 - 168*p**4 + 147*p**3 + 12*p**2 - 33*p - 6 = 0 for p.
-1/4, 1, 2
Factor -2*j**3 - 612*j**2 - 46818*j.
-2*j*(j + 153)**2
Solve -4212*h**4 + 2988*h**3 + 1304*h**2 - 48*h - 32 = 0 for h.
-2/9, 2/13, 1
Factor -2*g**3/15 - 12*g**2/5 - 142*g/15 - 52/5.
-2*(g + 2)*(g + 3)*(g + 13)/15
Solve -q**4/3 - 20*q**3/3 + 119*q**2/3 - 50*q = 0.
-25, 0, 2, 3
Factor -2*r**2/9 + 2*r/9.
-2*r*(r - 1)/9
Factor 3*a**3/8 + 549*a**2/8 + 3105*a - 3174.
3*(a - 1)*(a + 92)**2/8
Factor g**2/4 - 201*g + 40401.
(g - 402)**2/4
Let -2*q**2/3 - 108*q + 326/3 = 0. What is q?
-163, 1
Determine q, given that -3*q**5 + 51*q**4 - 45*q**3 - 51*q**2 + 48*q = 0.
-1, 0, 1, 16
Factor w**3/5 - 361*w**2/5 + 6623*w - 96123/5.
(w - 179)**2*(w - 3)/5
Find d, given that -76*d**3 - 1284*d**2 - 2144*d + 240 = 0.
-15, -2, 2/19
Factor -2*c**4/13 + 14*c**3/13 - 30*c**2/13 + 18*c/13.
-2*c*(c - 3)**2*(c - 1)/13
Factor 4*a**4 - 10*a**3 - 6*a**2 + 16*a + 8.
2*(a - 2)**2*(a + 1)*(2*a + 1)
Factor o**3/6 - 2*o**2/3 + 2*o/3.
o*(o - 2)**2/6
Factor -b**4 + 45*b**3 - 301*b**2 + 135*b + 1850.
-(b - 37)*(b - 5)**2*(b + 2)
What is i in -15*i**5 + 51*i**4 - 63*i**3 + 33*i**2 - 6*i = 0?
0, 2/5, 1
Factor 15*w**4/7 + 36*w**3/7 + 27*w**2/7 + 6*w/7.
3*w*(w + 1)**2*(5*w + 2)/7
Factor -j**2/2 + 5*j/2 + 3.
-(j - 6)*(j + 1)/2
Let -44*h**2 + 7*h + 1 = 0. What is h?
-1/11, 1/4
Solve -2*d**4/3 + 82*d**3/3 - 142*d**2/3 - 538*d/3 - 104 = 0.
-1, 4, 39
What is g in -2*g**5/7 + 1856*g**4/7 - 645888*g**3/7 + 99897344*g**2/7 - 5794045952*g/7 = 0?
0, 232
Find z such that -z**5 - 26*z**4 - 168*z**3 + 26*z**2 + 169*z = 0.
-13, -1, 0, 1
Factor -2*t**4 + 30*t**3 + 2*t**2 - 30*t.
-2*t*(t - 15)*(t - 1)*(t + 1)
Factor -5*x**2 - 20810*x - 21652805.
-5*(x + 2081)**2
Suppose 6*u**4/11 - 12*u**3/11 - 72*u**2/11 - 84*u/11 - 30/11 = 0. Calculate u.
-1, 5
Factor -5*c**2 + 400*c + 3045.
-5*(c - 87)*(c + 7)
Factor 27*a**3 + 264*a**2 + 183*a - 54.
3*(a + 1)*(a + 9)*(9*a - 2)
Factor -g**4/3 + 10*g**3/3 - 16*g**2/3.
-g**2*(g - 8)*(g - 2)/3
Find w, given that -27*w**5/8 + 75*w**4/8 + 531*w**3/8 + 33*w**2/8 - 63*w - 27/2 = 0.
-3, -1, -2/9, 1, 6
Solve x**3/3 + 38*x**2 - x/3 - 38 = 0 for x.
-114, -1, 1
Factor 1735*c**2 - 6945*c + 20.
5*(c - 4)*(347*c - 1)
Find j such that 3*j**3 - 35*j**2 + 106*j - 56 = 0.
2/3, 4, 7
Determine d so that -3*d**5 - 861*d**4 - 60474*d**3 + 186618*d**2 - 188355*d + 63075 = 0.
-145, 1
What is x in 81*x**5/5 - 74277*x**4/5 + 3398166*x**3 + 17040378*x**2/5 + 5685633*x/5 + 632043/5 = 0?
-1/3, 459
Solve -2*x**5/15 - 64*x**4/15 - 266*x**3/15 + 1444*x**2/5 = 0 for x.
-19, 0, 6
Solve 2*b**3/19 - 20*b**2/19 = 0.
0, 10
Factor -3*r**3 - 24*r**2 - 39*r - 18.
-3*(r + 1)**2*(r + 6)
Factor -4*m**3 - 68*m**2 - 64*m.
-4*m*(m + 1)*(m + 16)
Factor -3*p**2/7 - 222*p/7.
-3*p*(p + 74)/7
Find c such that 1252*c**2/11 - 5010*c/11 + 8/11 = 0.
1/626, 4
Factor t**2/5 + 364*t/5 + 1083/5.
(t + 3)*(t + 361)/5
Suppose -r**3/6 + 13*r**2/2 + 7*r - 40/3 = 0. What is r?
-2, 1, 40
Factor 4*c**3/5 - 176*c**2/5 + 1936*c/5.
4*c*(c - 22)**2/5
What is k in k**2/6 + 31*k/3 = 0?
-62, 0
Solve j**3 + 9*j**2/2 - 4*j - 18 = 0.
-9/2, -2, 2
Factor -2*c**4 - 14*c**3 - 28*c**2 - 16*c.
-2*c*(c + 1)*(c + 2)*(c + 4)
Find q, given that 22*q**3/3 + 4660*q**2/3 + 246344*q/3 - 44944/3 = 0.
-106, 2/11
Solve -3*f**5/4 - 21*f**4/2 - 183*f**3/4 - 63*f**2 - 27*f = 0 for f.
-6, -1, 0
Factor x**3/3 - 24*x**2 + 407*x + 2738/3.
(x - 37)**2*(x + 2)/3
Factor w**4 + 26*w**3 + 169*w**2.
w**2*(w + 13)**2
Suppose 28*j**5 - 356*j**4 + 1492*j**3 - 2316*j**2 + 720*j + 432 = 0. What is j?
-2/7, 1, 3, 6
Factor -2*f**2/15 + 8*f/15 + 874/15.
-2*(f - 23)*(f + 19)/15
Solve q**3/8 + 37*q**2/2 + 5325*q/8 - 5625/4 = 0.
-75, 2
Let -2*n**3/5 - 12*n**2/5 + 2*n/5 + 12/5 = 0. Calculate n.
-6, -1, 1
Factor m**3/6 - 9*m**2/2 + 17*m/2 - 25/6.
(m - 25)*(m - 1)**2/6
Let -w**2/9 + 4*w = 0. What is w?
0, 36
Solve 72*j**5 + 26526*j**4 + 2422076*j**3 - 3880938*j**2 + 1913640*j - 273800 = 0.
-185, 1/4, 2/3
Factor y**2/4 - 259*y/4 - 393/2.
(y - 262)*(y + 3)/4
Factor y**4 + y**3 - 30*y**2 - 32*y + 160.
(y - 5)*(y - 2)*(y + 4)**2
What is q in 5*q**5 - 40*q**4 + 100*q**3 - 80*q**2 = 0?
0, 2, 4
Find h such that -4*h**5 + 68*h**4 - 376*h**3 + 760*h**2 - 644*h + 196 = 0.
1, 7
Factor -2*c**3/9 - 94*c**2/9.
-2*c**2*(c + 47)/9
Let -u**2/2 - 385*u/2 - 383 = 0. Calculate u.
-383, -2
Factor -8*g**3 + 783*g**2 - 678*g - 97.
-(g - 97)*(g - 1)*(8*g + 1)
Factor -4*m**2 + 332*m.
-4*m*(m - 83)
Factor 2*a**2/9 - 32*a/3 - 896/9.
2*(a - 56)*(a + 8)/9
Factor -c**3 - 1901*c**2 + 3806*c.
-c*(c - 2)*(c + 1903)
Factor -2*z**3/3 - 115*z**2/6 + 277*z/6 - 31/3.
-(z - 2)*(z + 31)*(4*z - 1)/6
Solve 39*k**3/2 - 43*k**2/3 - 29*k/6 - 1/3 = 0.
-2/13, -1/9, 1
Factor n**2/2 - 91*n/2 + 45.
(n - 90)*(n - 1)/2
Factor -3*u**2/5 - 1218*u.
-3*u*(u + 2030)/5
Suppose -10*x**4 + 126*x**3 + 52*x**2 = 0. What is x?
-2/5, 0, 13
Solve 3*k**3/4 - 33*k**2/2 + 123*k/4 - 15 = 0 for k.
1, 20
Determine q, given that 2*q**5 - 10*q**4 + 14*q**3 - 6*q**2 = 0.
0, 1, 3
Factor -2*m**2/19 + 22*m/19 - 20/19.
-2*(m - 10)*(m - 1)/19
Let -2*q**4/3 + 26*q**3 - 76*q**2/3 = 0. What is q?
0, 1, 38
Let -d**4 + 22*d**3 - 77*d**2 + 92*d - 36 = 0. What is d?
1, 2, 18
Solve -3*d**3/8 + 2*d**2 + 193*d/8 - 33/4 = 0.
-6, 1/3, 11
Find g, given that -8*g**5 - 232*g**4/3 + 1174*g**3/9 + 1252*g**2/9 - 502*g/9 + 44/9 = 0.
-11, -1, 1/6, 2
Factor -2*v**2/3 + 34*v/3 - 140/3.
-2*(v - 10)*(v - 7)/3
Determine z so that -18*z**2/5 - 2*z/5 + 4 = 0.
-10/9, 1
Solve -4*d**5 - 40*d**4 - 136*d**3 - 144*d**2 + 108*d + 216 = 0.
-3, -2, 1
Find d, given that d**4/2 + 9*d**3/2 - 29*d**2/2 - 81*d/2 - 22 = 0.
-11, -1, 4
Factor j**2/5 + 18*j + 405.
(j + 45)**2/5
Factor -2*l**2/7 + 76*