 + 92*d - 5200 = 0.
-25, 52/3
Solve 2*k**4/3 + 40*k**3/3 - 116*k**2 + 264*k - 162 = 0.
-27, 1, 3
Factor 100*x**4 + 3920*x**3 + 36816*x**2 - 31360*x + 6400.
4*(x + 20)**2*(5*x - 2)**2
Determine c so that 144*c**4 + 2220*c**3 - 3764*c**2 + 1888*c - 272 = 0.
-17, 1/4, 2/3
Factor -d**4/2 - 25*d**3 - 97*d**2/2 - 24*d.
-d*(d + 1)**2*(d + 48)/2
Find f, given that 8*f**4 + 54*f**3 + 52*f**2 - 114*f = 0.
-19/4, -3, 0, 1
Solve 6*v**4 + 40*v**3 - 74*v**2 - 76*v + 32 = 0 for v.
-8, -1, 1/3, 2
Find m, given that 2*m**4/13 + 70*m**3/13 - 394*m**2/13 + 258*m/13 + 720/13 = 0.
-40, -1, 3
What is z in 2*z**4/5 - 280*z**3 + 49000*z**2 = 0?
0, 350
Factor -m**2/2 - 11*m/2 + 105.
-(m - 10)*(m + 21)/2
Let -192*p**5 - 19056*p**4 + 73692*p**3 - 48093*p**2 + 11424*p - 927 = 0. Calculate p.
-103, 1/4, 3
Factor w**4 + 8*w**3 - 3*w**2 - 22*w + 16.
(w - 1)**2*(w + 2)*(w + 8)
Solve 3*k**3 + 9*k**2 - 12*k = 0 for k.
-4, 0, 1
Find q such that q**2/3 + 151*q/3 + 50 = 0.
-150, -1
What is j in j**2 + 7*j = 0?
-7, 0
Factor 3*m**3/2 + 3*m**2 - 3*m/2 - 3.
3*(m - 1)*(m + 1)*(m + 2)/2
Factor -363*n**4/5 + 957*n**3/5 + 384*n**2/5 + 36*n/5.
-3*n*(n - 3)*(11*n + 2)**2/5
Factor 20*t**5 + 35*t**4 - 10*t**3.
5*t**3*(t + 2)*(4*t - 1)
Factor -2*q**2/9 + 8*q/9 + 26.
-2*(q - 13)*(q + 9)/9
Solve 6*g**2/7 + 66*g/7 = 0.
-11, 0
Solve -h**3 - h**2 + 30*h = 0 for h.
-6, 0, 5
Find h such that -3*h**4/4 + 81*h**3/4 + 9*h**2/4 - 249*h/4 + 81/2 = 0.
-2, 1, 27
Find j, given that -j**2/7 - 34*j/7 - 285/7 = 0.
-19, -15
What is v in -10*v**5 + 26*v**4 + 252*v**3 + 376*v**2 + 112*v = 0?
-2, -2/5, 0, 7
Factor v**2 + v - 20.
(v - 4)*(v + 5)
Factor -2*n**4/3 + 6*n**3 - 40*n**2/3 + 8*n.
-2*n*(n - 6)*(n - 2)*(n - 1)/3
Determine c so that -2*c**2 - 574*c + 1156 = 0.
-289, 2
Factor 4*s**2/3 - 1536*s + 442368.
4*(s - 576)**2/3
Let -3*w**4/2 - 18189*w**3/2 - 36759969*w**2/2 - 24763965783*w/2 = 0. Calculate w.
-2021, 0
Factor 4*p**3/9 + 344*p**2/3 + 7936*p + 615040/9.
4*(p + 10)*(p + 124)**2/9
Factor -2*k**3/15 - 2*k**2 - 112*k/15 - 8.
-2*(k + 2)*(k + 3)*(k + 10)/15
Suppose p**4/10 + 103*p**3/2 + 66563*p**2/10 + 66049*p/10 = 0. Calculate p.
-257, -1, 0
Suppose t**2 - 79*t + 154 = 0. Calculate t.
2, 77
Factor -o**4/2 + 18*o**3 - 143*o**2 - 342*o - 361/2.
-(o - 19)**2*(o + 1)**2/2
Solve 3*v**2/2 + 111*v + 4107/2 = 0 for v.
-37
Factor -n**3/7 - 45*n**2/7 - 81*n - 189.
-(n + 3)*(n + 21)**2/7
Factor 15*l**2/8 + 11433*l/4 + 1143.
3*(l + 1524)*(5*l + 2)/8
What is r in -3*r**5 - 78*r**4 - 357*r**3 + 78*r**2 + 360*r = 0?
-20, -6, -1, 0, 1
Solve 160*g**3 - 230*g**2 + 65*g + 5 = 0.
-1/16, 1/2, 1
Determine n so that -3*n**2/4 + 21*n/2 - 30 = 0.
4, 10
Find n, given that 5*n**2 - 180*n - 380 = 0.
-2, 38
Let -l**3 - 76*l**2 + 79*l + 154 = 0. Calculate l.
-77, -1, 2
Suppose -2*v**5/11 + 50*v**4/11 - 356*v**3/11 + 340*v**2/11 + 178*v + 110 = 0. What is v?
-1, 5, 11
Suppose z**4 + 40*z**3 - 41*z**2 = 0. What is z?
-41, 0, 1
Factor 4*d**4 - 32*d**3 - 76*d**2 - 40*d.
4*d*(d - 10)*(d + 1)**2
Suppose i**3/4 - 15*i**2/2 - 31*i/4 = 0. What is i?
-1, 0, 31
Find f such that -5*f**4/4 + 5115*f**3/4 - 326400*f**2 - 327680*f = 0.
-1, 0, 512
Factor 4*u**2 - 5472*u + 1871424.
4*(u - 684)**2
Let 25947*q**2/4 + 279*q/2 + 3/4 = 0. Calculate q.
-1/93
Determine u, given that 4*u**2/7 + 44*u/7 + 120/7 = 0.
-6, -5
Factor 4*k**4 + 48*k**3 - 236*k**2 + 312*k - 128.
4*(k - 2)*(k - 1)**2*(k + 16)
Let 4*n**2 + 13688*n + 11710084 = 0. Calculate n.
-1711
Factor 2*x**3/5 - 972*x**2/5 + 1536*x - 15296/5.
2*(x - 478)*(x - 4)**2/5
Solve -9*b**3 + 6*b**2 + 36*b - 24 = 0.
-2, 2/3, 2
Factor 2*v**5/9 - 2*v**4/9 - 170*v**3/9 - 550*v**2/9.
2*v**2*(v - 11)*(v + 5)**2/9
Solve -55*v**5 + 615*v**4 + 2035*v**3 + 1865*v**2 + 360*v - 140 = 0 for v.
-1, 2/11, 14
Factor -n**2/2 + 19*n - 361/2.
-(n - 19)**2/2
Solve j**2/2 - 45*j/2 - 47 = 0.
-2, 47
Find b such that -b**3/4 - 3*b**2/4 + 9*b/4 - 5/4 = 0.
-5, 1
Factor -4*w**4 - 16*w**3 + 276*w**2 - 416*w - 704.
-4*(w - 4)**2*(w + 1)*(w + 11)
Determine v, given that -v**4 + 9*v**3/5 + 19*v**2/5 - 9*v/5 - 14/5 = 0.
-1, 1, 14/5
Suppose 5*j**2 + 75*j - 270 = 0. What is j?
-18, 3
Solve 2*d**2/3 + 1498*d/3 + 1496/3 = 0.
-748, -1
Factor -t**5/6 - 5*t**4 - 253*t**3/6 - 70*t**2 - 98*t/3.
-t*(t + 1)**2*(t + 14)**2/6
Factor 2*c**3 - 56*c**2 - 194*c + 248.
2*(c - 31)*(c - 1)*(c + 4)
Let l**2/3 + 5*l/3 - 14/3 = 0. What is l?
-7, 2
Factor 2*l**3 + 124*l**2.
2*l**2*(l + 62)
Factor t**2/2 + 18*t - 1190.
(t - 34)*(t + 70)/2
Factor -p**4 - 5749*p**3 - 8254122*p**2 + 24802624*p - 16542752.
-(p - 2)*(p - 1)*(p + 2876)**2
Factor 2*j**3/13 + 12*j**2/13.
2*j**2*(j + 6)/13
Factor 3*h**2 + 1371*h - 2754.
3*(h - 2)*(h + 459)
Factor j**4/6 - j**3/3 - 47*j**2/6 - 22*j - 18.
(j - 9)*(j + 2)**2*(j + 3)/6
Factor -4*x**5 - 16*x**4 - 20*x**3 - 8*x**2.
-4*x**2*(x + 1)**2*(x + 2)
Factor 4*n**5 + 34*n**4 + 80*n**3 + 32*n**2.
2*n**2*(n + 4)**2*(2*n + 1)
Factor -44*y**2/7 - 3568*y/7 - 324/7.
-4*(y + 81)*(11*y + 1)/7
Factor -2*z**2 - 34*z - 144.
-2*(z + 8)*(z + 9)
Solve -c**2/6 - 4*c/3 = 0.
-8, 0
Find h, given that h**5/9 + h**4/3 - 13*h**3/9 - 5*h**2/3 = 0.
-5, -1, 0, 3
Let -32*b**4/9 + 856*b**3/9 - 208*b**2/3 - 2*b/9 + 52/9 = 0. What is b?
-1/4, 1/2, 26
Factor -11567205*k**2 - 76050*k - 125.
-5*(1521*k + 5)**2
Determine y so that 3*y**5 - 63*y**4 - 66*y**3 = 0.
-1, 0, 22
Factor 2*v**4 - 2*v**3 - 84*v**2 - 64*v + 448.
2*(v - 7)*(v - 2)*(v + 4)**2
Solve 192*o**4 + 1584*o**3 + 4356*o**2 + 3993*o = 0 for o.
-11/4, 0
Factor 2*m**3 + 282*m**2 + 13254*m + 207646.
2*(m + 47)**3
Factor 2*w**4 - 24*w**3 + 100*w**2 - 168*w + 90.
2*(w - 5)*(w - 3)**2*(w - 1)
What is d in -5*d**2 + 55*d + 400 = 0?
-5, 16
Find g such that -10*g**4 + 434*g**3 - 1376*g**2 + 616*g + 960 = 0.
-3/5, 2, 40
Solve 4*t**5 + 12*t**4 - 28*t**3 - 60*t**2 + 72*t = 0 for t.
-3, 0, 1, 2
Factor -3*t**4 + 6*t**3 - 3*t**2.
-3*t**2*(t - 1)**2
Let -5*a**3 + 35*a**2 - 55*a + 25 = 0. Calculate a.
1, 5
Factor -p**5/5 + p**4/5 + 2*p**3/5.
-p**3*(p - 2)*(p + 1)/5
Determine c so that 6*c**3 + 3465*c**2 + 499392*c - 250563 = 0.
-289, 1/2
Let -a**2/4 + 33*a/2 - 65/4 = 0. Calculate a.
1, 65
Determine x, given that 4*x**4/5 + 4*x**3/5 - 52*x**2/5 - 4*x/5 + 48/5 = 0.
-4, -1, 1, 3
Let -4*v**2 - 1836*v - 7280 = 0. What is v?
-455, -4
Factor 4*m**4/3 - 44*m**3 + 340*m**2 + 1156*m/3.
4*m*(m - 17)**2*(m + 1)/3
Factor 12*u**2 + 20*u - 200.
4*(u + 5)*(3*u - 10)
Factor -y**4/5 - 83*y**3/5 + 17*y**2 + 83*y/5 - 84/5.
-(y - 1)**2*(y + 1)*(y + 84)/5
Find k such that -3*k**2 + 708*k - 1404 = 0.
2, 234
Determine s so that -s**2 - 9*s + 190 = 0.
-19, 10
Factor 9*w**2/4 + 105*w/8 - 9/4.
3*(w + 6)*(6*w - 1)/8
Let -5*c**4 - 25*c**3 + 10*c**2 + 120*c = 0. What is c?
-4, -3, 0, 2
Factor -d**2 - 354*d - 31329.
-(d + 177)**2
Find h such that -2*h**4 + 84*h**3 + 1088*h**2 + 4044*h + 4770 = 0.
-5, -3, 53
Determine v so that -4*v**2 - 6572*v + 13160 = 0.
-1645, 2
Suppose -65*i**5 + 3065*i**4 - 37715*i**3 + 34135*i**2 + 64400*i - 10580 = 0. Calculate i.
-1, 2/13, 2, 23
Factor 3*p**2 + 18*p + 27.
3*(p + 3)**2
Factor -5*r**3/7 + 13*r**2/7 - 11*r/7 + 3/7.
-(r - 1)**2*(5*r - 3)/7
Factor -h**3/2 + 3*h**2 - 9*h/2 + 2.
-(h - 4)*(h - 1)**2/2
Let -k**2 + 61*k - 174 = 0. Calculate k.
3, 58
Factor -4*i**2 + 200*i - 736.
-4*(i - 46)*(i - 4)
Determine n, given that 2*n**2/13 - 80*n/13 + 222/13 = 0.
3, 37
Determine j so that -j**4/4 - j**3/6 + j**2/3 + j/6 - 1/12 = 0.
-1, 1/3, 1
Factor z**4/2 - 11*z**3 + 165*z**2/2 - 250*z + 250.
(z - 10)*(z - 5)**2*(z - 2)/2
Solve 6*f**4/5 - 198*f**3 + 1956*f**2/5 = 0 for f.
0, 2, 163
Determine r, given that -3*r**3/4 + 9*r**2/2 + 27*r + 30 = 0.
-2, 10
Find r such that -r**2/2 - 58*r - 339/2 = 0.
-113, -3
Determine d so that d**2/5 - 4332*d/5 + 4691556/5 = 0.
2166
Suppose 2*j**2/9 - 1400*j/9 + 245000/9 = 0. Calculate j.
350
Find m, given that -3*m**4/4 + 9*m**3/4 + 9*m**2/2 - 6*m = 0.
-2, 0, 1, 4
Find l such that 5*l**5 - 210*l**4 + 2395*l**3 - 8110*l**2 - 2400*l + 8320 = 0.
-1, 1, 8, 26
Determine j so that -2*j**3 - 26*j**2 + 32*j + 56 = 0.
-14, -1, 2
Factor -f**5 + f**4 + 3*f**3 - 5*f**2 + 2*f.
-f*(f - 1)**3*(f + 2)
Factor o**2 + 16*o - 720.
(o - 20)*(o + 36)
Solve k**4/6 - 13*k**3/2 + 19*k**2/3 = 0.
0, 1, 38
Let -20*p**3 + 675*p**2 + 1610*p + 360 = 0. What is p?
-2, -1/4, 36
Factor -2*f**3 + 144*f**2 - 2592*f.
-2*f*(f - 36)**2
Fa