 4*n - 136.
4*(n - 1)*(n + 1)*(n + 34)
Determine c, given that 7*c**5 + 16*c**4 - 3*c**3 - 16*c**2 - 4*c = 0.
-2, -1, -2/7, 0, 1
Solve -2*f**3/11 + 16*f**2/11 - 32*f/11 = 0 for f.
0, 4
Factor -r**3/6 + 3*r**2/2 + 36*r + 126.
-(r - 21)*(r + 6)**2/6
Factor 5*c**2 - 24640*c + 30356480.
5*(c - 2464)**2
Factor -3*w**3 + 948*w**2 + 2871*w.
-3*w*(w - 319)*(w + 3)
Solve 3*h**5 + 6*h**4 - 24*h**3 = 0 for h.
-4, 0, 2
Factor 4*i**5 + 24*i**4 + 12*i**3 - 40*i**2.
4*i**2*(i - 1)*(i + 2)*(i + 5)
Factor -5*b**2 + 505*b - 990.
-5*(b - 99)*(b - 2)
Let -2*u**4/13 - 342*u**3/13 + 692*u**2/13 = 0. What is u?
-173, 0, 2
Factor -4*z**3 - 62*z**2/7 - 12*z/7.
-2*z*(z + 2)*(14*z + 3)/7
Factor 4*c**3 + 124*c**2 - 400*c + 272.
4*(c - 2)*(c - 1)*(c + 34)
Determine f, given that 4*f**5 + 80*f**4 + 68*f**3 - 2120*f**2 + 3264*f = 0.
-17, -8, 0, 2, 3
Determine u so that 2*u**3/7 + 122*u**2/7 + 210*u + 1350/7 = 0.
-45, -15, -1
Suppose 3*g**2/8 - 27*g/4 + 243/8 = 0. What is g?
9
Factor 2*k**3/15 + 28*k**2/15 + 26*k/15.
2*k*(k + 1)*(k + 13)/15
Factor -2*q**3/3 + 4*q**2/3 + 2*q.
-2*q*(q - 3)*(q + 1)/3
Find f, given that 5*f**2/4 - 715*f/4 - 180 = 0.
-1, 144
Factor -f**2/6 - 2*f - 35/6.
-(f + 5)*(f + 7)/6
Solve -3*i**4 - 18*i**3 + 21*i**2 = 0.
-7, 0, 1
Solve -f**2/3 - 80*f/3 + 368 = 0 for f.
-92, 12
Factor -k**3/2 - 2467*k**2/2 - 760144*k + 761378.
-(k - 1)*(k + 1234)**2/2
Solve 2*p**5/7 + p**4/7 - 6*p**3/7 - p**2 - 2*p/7 = 0 for p.
-1, -1/2, 0, 2
Solve 40*d**4/3 + 85*d**3/3 + 50*d**2/3 + 5*d/3 = 0.
-1, -1/8, 0
Find l, given that -4*l**4 + 132*l**3 - 1344*l**2 + 4352*l = 0.
0, 8, 17
What is h in -5*h**4 - 15910*h**3 - 16869900*h**2 - 5955064090*h + 5971949905 = 0?
-1061, 1
Factor -5*k**2 - 165*k + 170.
-5*(k - 1)*(k + 34)
Let -9261*w**5/4 - 14553*w**4/4 + 6111*w**3/2 + 2378*w**2 + 488*w + 32 = 0. Calculate w.
-2, -4/21, 1
Factor o**5 - 9*o**4 - o**3 + 9*o**2.
o**2*(o - 9)*(o - 1)*(o + 1)
Determine x so that 343*x**4/4 + 441*x**3/4 - 357*x**2 + 236*x - 48 = 0.
-3, 4/7
Factor -3*h**4/5 + 6*h**3.
-3*h**3*(h - 10)/5
Factor -x**2/6 + 34*x/3 + 23/2.
-(x - 69)*(x + 1)/6
Factor 2*a**3 - 196*a**2/5 - 58*a - 84/5.
2*(a - 21)*(a + 1)*(5*a + 2)/5
Factor 4*f**4 - 80*f**3 + 304*f**2 + 960*f.
4*f*(f - 12)*(f - 10)*(f + 2)
Find m such that -2*m**4 + 44*m**3 - 360*m**2 + 1300*m - 1750 = 0.
5, 7
Find o, given that o**3 - 64*o**2 + 1300*o - 8112 = 0.
12, 26
Factor -5*c**2 + 1540*c + 1545.
-5*(c - 309)*(c + 1)
Factor -r**5/4 + 33*r**4/4 - 255*r**3/4 - 289*r**2/4.
-r**2*(r - 17)**2*(r + 1)/4
Find r such that 4*r**4/5 + 12*r**3/5 + 12*r**2/5 + 4*r/5 = 0.
-1, 0
Factor -z**5/4 + 13*z**4/2 + 3*z**3/2 - 41*z**2 + 211*z/4 - 39/2.
-(z - 26)*(z - 1)**3*(z + 3)/4
Factor 2*z**2 - 4488*z - 4490.
2*(z - 2245)*(z + 1)
Factor 5*v**5 + 25*v**4 + 15*v**3 - 45*v**2.
5*v**2*(v - 1)*(v + 3)**2
Factor k**2 + 16*k - 105.
(k - 5)*(k + 21)
Determine z so that z**3 - 146*z**2 + 965*z + 1112 = 0.
-1, 8, 139
Find n such that 5*n**5 - 20*n**4 - 75*n**3 + 230*n**2 + 220*n - 600 = 0.
-3, -2, 2, 5
Determine t, given that 7*t**3/4 - 137*t**2/2 + 305*t/4 - 19/2 = 0.
1/7, 1, 38
Find g such that 21*g**4 - 15*g**3 - 6*g**2 = 0.
-2/7, 0, 1
Find g such that -g**4/2 - 5*g**3/2 + 25*g**2/2 + 5*g/2 - 12 = 0.
-8, -1, 1, 3
Find j such that -j**4 - 14*j**3 - 9*j**2 + 324*j = 0.
-9, 0, 4
Factor 2*x**3/17 - 5764*x**2/17 + 4158720*x/17 - 8294400/17.
2*(x - 1440)**2*(x - 2)/17
Suppose -q**2/2 + 69*q/2 = 0. Calculate q.
0, 69
Factor -191*k**2 + 188*k + 3.
-(k - 1)*(191*k + 3)
Let 4*q**4 + 96*q**3 + 768*q**2 + 2048*q = 0. Calculate q.
-8, 0
Suppose 75*w**2 + 120*w + 48 = 0. Calculate w.
-4/5
Suppose n**5/3 - 4*n**4/3 - n**3 + 10*n**2/3 + 8*n/3 = 0. Calculate n.
-1, 0, 2, 4
Let -2*h**3/9 - 28*h**2/9 - 26*h/9 = 0. Calculate h.
-13, -1, 0
Solve 52*t**3/5 + 15852*t**2/5 + 241377*t - 37210 = 0 for t.
-305/2, 2/13
Let -4*n**2/5 + 1192*n/5 = 0. Calculate n.
0, 298
Factor 9*r**2/2 + 78*r + 51/2.
3*(r + 17)*(3*r + 1)/2
Factor -2*m**2/11 - 86*m/11 - 920/11.
-2*(m + 20)*(m + 23)/11
Determine h, given that 3*h**2 + 24*h = 0.
-8, 0
Determine v so that 36*v**4 - 1320*v**3 - 464*v**2 + 744*v - 148 = 0.
-1, 1/3, 37
Let 2*c**2/3 - 122*c/9 + 40/9 = 0. Calculate c.
1/3, 20
What is m in -m**2/9 + 10*m/3 - 21 = 0?
9, 21
Let 2*g**5/13 - 16*g**4/13 + 36*g**3/13 - 8*g**2/13 - 38*g/13 + 24/13 = 0. Calculate g.
-1, 1, 3, 4
Find m such that -2*m**4/5 - 2*m**3/5 + 42*m**2/5 + 2*m/5 - 8 = 0.
-5, -1, 1, 4
Determine f so that f**5/3 + f**4/2 - 3*f**3 - 14*f**2/3 + 3/2 = 0.
-3, -1, 1/2, 3
Let -22*c**2 + 442*c + 420 = 0. Calculate c.
-10/11, 21
Factor 2*w**3/7 + 2*w**2/7 - 2*w/7 - 2/7.
2*(w - 1)*(w + 1)**2/7
Factor 9*r**4 + 164*r**3 + 621*r**2 + 130*r.
r*(r + 5)*(r + 13)*(9*r + 2)
Determine j, given that 24*j**4/17 - 218*j**3/17 + 208*j**2/17 + 2*j/17 - 16/17 = 0.
-1/4, 1/3, 1, 8
Factor -a**4 - 32*a**3 - 90*a**2 - 88*a - 29.
-(a + 1)**3*(a + 29)
Let 2*c**2/13 + 3548*c/13 - 3550/13 = 0. What is c?
-1775, 1
What is k in 4*k**5 + 100*k**4 + 188*k**3 - 5284*k**2 + 14208*k - 9216 = 0?
-16, 1, 3
Factor -m**2 - 725*m.
-m*(m + 725)
Factor 5*i**5 - 40*i**4 + 115*i**3 - 140*i**2 + 60*i.
5*i*(i - 3)*(i - 2)**2*(i - 1)
Solve -30*c**3/13 - 128*c**2/13 - 122*c/13 - 24/13 = 0 for c.
-3, -1, -4/15
Let -3*a**4 - 960*a**3 - 1905*a**2 + 960*a + 1908 = 0. What is a?
-318, -2, -1, 1
Let 2*b**4/3 - 28*b**3/3 - 64*b**2/3 = 0. Calculate b.
-2, 0, 16
Factor -2*v**2/11 - 13048*v/11 - 21281288/11.
-2*(v + 3262)**2/11
Factor -3*o**3 - 33*o**2 - 21*o + 441.
-3*(o - 3)*(o + 7)**2
Factor -2*h**2/9 - 4*h - 34/9.
-2*(h + 1)*(h + 17)/9
Let -2*v**5 + 152*v**4/3 - 1274*v**3/3 + 1360*v**2 - 1272*v + 288 = 0. Calculate v.
1/3, 1, 6, 12
Factor 2*c**2 + 32152*c + 129218888.
2*(c + 8038)**2
Factor 3*u**2 + 6216*u + 3219888.
3*(u + 1036)**2
Factor 2*z**3/9 - 58*z**2/9 - 88*z/3.
2*z*(z - 33)*(z + 4)/9
Factor o**4/2 + o**3 - 3*o**2/2.
o**2*(o - 1)*(o + 3)/2
Determine d so that -2*d**2 + 502*d + 504 = 0.
-1, 252
Solve -4*m**5 + 4*m**4 + 24*m**3 - 16*m**2 - 32*m = 0.
-2, -1, 0, 2
Factor 2*z**2/7 + 25372*z/7 + 80467298/7.
2*(z + 6343)**2/7
Suppose -255*p**2 + 516*p - 12 = 0. Calculate p.
2/85, 2
Suppose 2*g**2 - 294*g - 296 = 0. What is g?
-1, 148
Suppose n**4/3 + n**3/3 - 4*n**2/3 - 4*n/3 = 0. Calculate n.
-2, -1, 0, 2
Factor d**3/2 + 6*d**2 + 16*d.
d*(d + 4)*(d + 8)/2
Factor 3*a**4/5 + 9*a**3/5 - 72*a**2/5 + 84*a/5.
3*a*(a - 2)**2*(a + 7)/5
Factor -297*d**2 - 525*d + 138.
-3*(d + 2)*(99*d - 23)
Factor -5*v**4 + 5*v**3 + 65*v**2 - 125*v + 60.
-5*(v - 3)*(v - 1)**2*(v + 4)
Determine o so that 4*o**3/9 + 10*o**2/3 - 58*o/9 - 4 = 0.
-9, -1/2, 2
Solve 11*p**5/4 - 31*p**4/4 - 61*p**3/4 + 23*p**2/4 + 25*p/2 + 2 = 0.
-1, -2/11, 1, 4
Factor r**4/2 + 7*r**3/2 + 17*r**2/2 + 17*r/2 + 3.
(r + 1)**2*(r + 2)*(r + 3)/2
Find v, given that -5*v**5 - 215*v**4 - 2295*v**3 + 6515*v**2 + 134600*v + 126000 = 0.
-20, -9, -1, 7
Determine m, given that -3*m**4 - 45*m**3 - 105*m**2 + 45*m + 108 = 0.
-12, -3, -1, 1
Factor 4*w**2 + 36*w - 5544.
4*(w - 33)*(w + 42)
Factor 33*h**2 - 51*h + 18.
3*(h - 1)*(11*h - 6)
Factor -w**4/2 - w**3/2 + 3*w**2.
-w**2*(w - 2)*(w + 3)/2
Suppose -13*x**2/4 + 500*x + 77 = 0. What is x?
-2/13, 154
Factor -39*i**3 - 349*i**2/9 + 704*i/9 - 4/9.
-(i - 1)*(i + 2)*(351*i - 2)/9
Solve 2*o**5/11 + 16*o**4/11 + 24*o**3/11 - 4*o**2/11 - 26*o/11 - 12/11 = 0.
-6, -1, 1
Find f, given that -20*f**3 + 3725*f**2 + 6590*f - 1880 = 0.
-2, 1/4, 188
Factor -p**4 - 370*p**3 - 34592*p**2 - 67712*p.
-p*(p + 2)*(p + 184)**2
Factor 2*a**3 + 5*a**2 - 4*a - 3.
(a - 1)*(a + 3)*(2*a + 1)
Determine j so that -3*j**3 - 69*j**2 - 525*j - 1323 = 0.
-9, -7
Let 1157625*f**3/2 + 33075*f**2 + 630*f + 4 = 0. Calculate f.
-2/105
Solve 2058*a**4/11 - 2940*a**3 + 51408*a**2/11 - 28608*a/11 + 5376/11 = 0 for a.
4/7, 14
Factor 150*k**4 + 454*k**3 + 462*k**2 + 162*k + 4.
2*(k + 1)**3*(75*k + 2)
Factor 44*f**3/3 + 272*f**2/3 + 268*f/3 + 40/3.
4*(f + 1)*(f + 5)*(11*f + 2)/3
Let -o**2/2 - 16*o + 72 = 0. Calculate o.
-36, 4
What is h in h**3 - 23*h**2 + 39*h + 63 = 0?
-1, 3, 21
Suppose -2*t**5/11 + 82*t**4/11 - 1142*t**3/11 + 6390*t**2/11 - 15552*t/11 + 13824/11 = 0. What is t?
3, 16
Determine v, given that 2*v**2/11 - 1132*v/11 - 1134/11 = 0.
-1, 567
Factor 2*w**5/7 + 220*w**4/7 + 6050*w**3/7.
2*w**3*(w + 55)**2/7
Determine m so that -m**2/3 + 298*m/3 - 22201/3 = 