h + 6)*(h + 50)/3
Determine g so that -36*g**2 - 28*g + 8 = 0.
-1, 2/9
Factor g**3/2 + 225*g**2/2 + 16875*g/2 + 421875/2.
(g + 75)**3/2
Suppose -j**3/6 + 3*j**2/2 + 7*j/2 + 11/6 = 0. What is j?
-1, 11
Solve d**3/2 - 17*d**2/2 + 55*d/2 - 39/2 = 0.
1, 3, 13
Find z such that -2*z**4 - 156*z**3 = 0.
-78, 0
Let -2*x**5 - 30*x**4 - 112*x**3 + 144*x**2 + 864*x - 864 = 0. Calculate x.
-6, 1, 2
Factor -2*x**4/3 - 46*x**3/3 + 16*x**2.
-2*x**2*(x - 1)*(x + 24)/3
Factor -5*v**3 - 145*v**2 - 1120*v - 980.
-5*(v + 1)*(v + 14)**2
Factor -4*u**3 + 60*u**2 + 4*u - 60.
-4*(u - 15)*(u - 1)*(u + 1)
Factor 1876*l**3 + 7496*l**2 + 7472*l - 32.
4*(l + 2)**2*(469*l - 2)
Factor 3*k**3/2 + 48*k**2 + 462*k + 1176.
3*(k + 4)*(k + 14)**2/2
Solve -3*l**5/4 + 279*l**4/4 + 216*l**3 + 3*l**2 - 288*l = 0.
-2, 0, 1, 96
Factor 2*l**3/3 + 13*l**2/3 + 22*l/3 + 8/3.
(l + 2)*(l + 4)*(2*l + 1)/3
Solve 2*i**2 + 36*i - 176 = 0 for i.
-22, 4
Find h such that 2*h**2/3 - 38*h/3 - 184/3 = 0.
-4, 23
Suppose -4*o**3 + 312*o**2 + 3420*o + 8800 = 0. What is o?
-5, 88
Factor 5*v**3 + 30*v**2 - 20*v - 120.
5*(v - 2)*(v + 2)*(v + 6)
What is u in -53*u**2 + 107*u/2 - 1/2 = 0?
1/106, 1
Solve 2*m**2/19 - 172*m/19 + 3698/19 = 0 for m.
43
Factor -h**5/3 + 17*h**4/3 - 7*h**3/3 - 133*h**2/3 - 172*h/3 - 64/3.
-(h - 16)*(h - 4)*(h + 1)**3/3
Factor -5*s**3 - 10*s**2 + 80*s + 160.
-5*(s - 4)*(s + 2)*(s + 4)
Factor -p**4 - 58*p**3 + 3*p**2 + 172*p - 116.
-(p - 1)**2*(p + 2)*(p + 58)
Find r such that -r**3 + 30*r**2 = 0.
0, 30
Factor -2*u**3/11 + 52*u**2/11 + 174*u/11.
-2*u*(u - 29)*(u + 3)/11
Let -2*n**3/9 - 126*n**2 - 18048*n - 53016 = 0. Calculate n.
-282, -3
Suppose -15*f**4 - 81*f**3 - 60*f**2 + 108*f + 48 = 0. What is f?
-4, -2, -2/5, 1
Factor 3*u**4 + 1296*u**3 + 142536*u**2 + 554688*u + 549552.
3*(u + 2)**2*(u + 214)**2
Factor -4*d**3 + 92*d**2 + 304*d + 208.
-4*(d - 26)*(d + 1)*(d + 2)
Factor -5*y**3 - 190*y**2 + 4000*y - 17280.
-5*(y - 8)**2*(y + 54)
Solve -14*h**4/13 + 122*h**3/13 - 174*h**2/13 + 38*h/13 + 28/13 = 0 for h.
-2/7, 1, 7
Factor 6*l**3 - 99*l**2 - 54*l + 51.
3*(l - 17)*(l + 1)*(2*l - 1)
Factor 2*u**5/3 - 10*u**3 - 20*u**2/3 + 40*u + 48.
2*(u - 3)**2*(u + 2)**3/3
Factor -3*n**2 - 363*n + 738.
-3*(n - 2)*(n + 123)
Find u such that 36*u**4 + 268*u**3 + 560*u**2 + 176*u - 320 = 0.
-4, -2, 5/9
What is r in 4*r**2/5 - 592*r/5 - 596/5 = 0?
-1, 149
Factor -f**2/6 + 7*f/6 - 5/3.
-(f - 5)*(f - 2)/6
Factor k**2/12 + 7*k/6 + 11/4.
(k + 3)*(k + 11)/12
Solve j**4/3 + 17*j**3 + 16*j**2 - 100*j/3 = 0.
-50, -2, 0, 1
Factor 2*t**3 + 34*t**2 + 62*t + 30.
2*(t + 1)**2*(t + 15)
Let -3*t**5/2 + 41*t**4/2 + 87*t**3 - 14*t**2 - 324*t - 272 = 0. What is t?
-2, -4/3, 2, 17
Factor r**4/4 - 5*r**3/2 - 36*r**2 - 243*r/2 - 513/4.
(r - 19)*(r + 3)**3/4
Suppose 16*s**4 + 304*s**3 - 716*s**2 - 936*s - 252 = 0. What is s?
-21, -1/2, 3
Determine h so that -5*h**4 - 130*h**3 - 245*h**2 - 120*h = 0.
-24, -1, 0
Let k**3/10 - 3*k**2/10 - k/10 + 3/10 = 0. What is k?
-1, 1, 3
Solve -5*l**4 + 30*l**3 + 15*l**2 - 80*l - 60 = 0 for l.
-1, 2, 6
Let 4*f**5 - 208*f**4 - 428*f**3 - 216*f**2 = 0. What is f?
-1, 0, 54
Solve -2*z**2/9 - 122*z/9 = 0.
-61, 0
Let -51*t**5 - 354*t**4 - 540*t**3 - 222*t**2 + 15*t = 0. What is t?
-5, -1, 0, 1/17
Determine j so that 2*j**5/5 + 2*j**4/5 - 6*j**3/5 - 2*j**2/5 + 4*j/5 = 0.
-2, -1, 0, 1
Solve 2*t**2 - 528*t + 526 = 0.
1, 263
Factor j**4 - 29*j**3 - 61*j**2 - 31*j.
j*(j - 31)*(j + 1)**2
Find y, given that y**2/2 - 219*y/2 = 0.
0, 219
Factor -25*h**3 - 2790*h**2 - 48380*h + 19800.
-5*(h + 22)*(h + 90)*(5*h - 2)
Factor -3*f**4 + 12*f**3 + 9*f**2 - 54*f.
-3*f*(f - 3)**2*(f + 2)
What is m in -2*m**4/3 - m**3/3 + m**2 + m/3 - 1/3 = 0?
-1, 1/2, 1
Solve -i**2/3 + 50*i/3 - 49/3 = 0.
1, 49
Factor -3*q**5 + 24*q**4 - 66*q**3 + 84*q**2 - 51*q + 12.
-3*(q - 4)*(q - 1)**4
Factor b**2/7 + 524*b + 480508.
(b + 1834)**2/7
Let 14*o**4/5 - 66*o**3/5 - 104*o**2/5 - 24*o/5 = 0. What is o?
-1, -2/7, 0, 6
Factor 5*w**2 + 12580*w + 7912820.
5*(w + 1258)**2
Determine g so that -2*g**4/5 + 228*g**3/5 - 7146*g**2/5 + 36936*g/5 - 52488/5 = 0.
3, 54
Factor 19692*z**4 - 26274*z**3 + 8776*z**2 - 8*z.
2*z*(3*z - 2)**2*(1094*z - 1)
What is a in 33*a**5 - 456*a**4 + 675*a**3 + 600*a**2 - 708*a - 144 = 0?
-1, -2/11, 1, 2, 12
Factor -4*o**3/7 + 24*o**2/7 + 36*o + 432/7.
-4*(o - 12)*(o + 3)**2/7
Factor -4*c**2 - 8380*c - 8376.
-4*(c + 1)*(c + 2094)
Suppose -2*i**4/5 - 4*i**3 + 24*i**2/5 + 532*i/5 + 98 = 0. Calculate i.
-7, -1, 5
Find b, given that 3*b**2/4 - 627*b/4 - 315/2 = 0.
-1, 210
Factor k**3/2 - 7*k**2/2 - 41*k/2 - 33/2.
(k - 11)*(k + 1)*(k + 3)/2
Factor 4*i**4/7 + 608*i**3/7 + 34656*i**2/7 + 877952*i/7 + 8340544/7.
4*(i + 38)**4/7
Determine a so that 2*a**2/7 + 6548*a/7 + 5359538/7 = 0.
-1637
Find m such that m**2 - 12*m + 11 = 0.
1, 11
What is i in 4*i**4 - 1364*i**3 + 115588*i**2 + 119700*i - 233928 = 0?
-2, 1, 171
Solve 2*s**2 - 42*s = 0.
0, 21
Let 15*g**2/4 - 805*g/4 - 135/2 = 0. What is g?
-1/3, 54
Factor -4*v**3 + 52*v**2 + 4*v - 52.
-4*(v - 13)*(v - 1)*(v + 1)
Find s, given that -24*s**3/7 - 75*s**2/7 - 9*s/7 = 0.
-3, -1/8, 0
Suppose n**2/3 + 3*n + 8/3 = 0. Calculate n.
-8, -1
Factor -18*x**2 - 3*x + 6.
-3*(2*x - 1)*(3*x + 2)
Factor -18*z**3 + 75*z**2 - 96*z + 36.
-3*(z - 2)*(2*z - 3)*(3*z - 2)
Factor -z**3/6 - 14*z**2/3 - 128*z/3 - 128.
-(z + 8)**2*(z + 12)/6
Suppose -3*v**2 + 13*v/2 - 1 = 0. Calculate v.
1/6, 2
Factor 2*i**4 + 776*i**3 + 74492*i**2 - 151320*i + 76050.
2*(i - 1)**2*(i + 195)**2
Suppose 3*j**2 + 975*j + 972 = 0. What is j?
-324, -1
Factor -f**3/2 - 24*f**2 - 597*f/2 - 275.
-(f + 1)*(f + 22)*(f + 25)/2
Suppose -r**5/2 + 9*r**4/2 - 117*r**3/8 + 81*r**2/4 - 81*r/8 = 0. What is r?
0, 3/2, 3
Let 2*d**2/3 + 60*d - 182/3 = 0. What is d?
-91, 1
Solve 5*s**2 + 5*s = 0.
-1, 0
Factor 2*w**2/11 - 274*w/11 - 556/11.
2*(w - 139)*(w + 2)/11
Let -39*j**3 - 6*j**2 = 0. What is j?
-2/13, 0
Factor 5*n**5 - 5*n**4 - 5*n**3 + 5*n**2.
5*n**2*(n - 1)**2*(n + 1)
Find g, given that g**3 - 23*g**2 + 79*g - 57 = 0.
1, 3, 19
Factor -y**2/4 + 254*y - 64516.
-(y - 508)**2/4
Suppose -4*y**5 + 44*y**4 - 108*y**3 + 100*y**2 - 32*y = 0. What is y?
0, 1, 8
Solve -5*l**5/6 + 95*l**4/6 - 25*l**3 - 175*l**2/3 + 155*l/6 + 85/2 = 0 for l.
-1, 1, 3, 17
Factor u**2/2 - 129*u.
u*(u - 258)/2
Factor -2*b**3/7 + 4758*b**2/7 - 9510*b/7 + 4754/7.
-2*(b - 2377)*(b - 1)**2/7
Factor -2*d**2 + 19240*d - 46272200.
-2*(d - 4810)**2
Suppose 516*s**2 + 20648*s + 320 = 0. What is s?
-40, -2/129
Solve 51*t**5/2 - 45*t**4/2 - 57*t**3/2 + 45*t**2/2 + 3*t = 0 for t.
-1, -2/17, 0, 1
Let -4*p**5 - 164*p**4 = 0. Calculate p.
-41, 0
Suppose y**4/4 + y**3/4 - 49*y**2/4 - 49*y/4 = 0. Calculate y.
-7, -1, 0, 7
Suppose 3*s**2 + 630*s + 33075 = 0. What is s?
-105
Factor -3*p**4/5 - 3*p**3 - 21*p**2/5 - 9*p/5.
-3*p*(p + 1)**2*(p + 3)/5
Let j**2/2 + 5*j/2 + 2 = 0. Calculate j.
-4, -1
Factor -5*m**4 + 25*m**3 + 245*m**2 - 1225*m.
-5*m*(m - 7)*(m - 5)*(m + 7)
Determine o so that -o**4/2 - 25*o**3/2 + 71*o**2 - 118*o + 60 = 0.
-30, 1, 2
Determine j, given that -2*j**3 + 24*j**2 - 82*j + 60 = 0.
1, 5, 6
Determine t, given that 6*t**4 - 46*t**3 + 70*t**2 + 62*t - 60 = 0.
-1, 2/3, 3, 5
Suppose -2*z**4/11 + 30*z**3/11 - 122*z**2/11 - 30*z/11 + 700/11 = 0. What is z?
-2, 5, 7
Factor -3*w**3/2 - 9*w**2 - 15*w/2.
-3*w*(w + 1)*(w + 5)/2
Find c, given that -10*c**3/9 - 46*c**2/9 - 20*c/9 + 16/9 = 0.
-4, -1, 2/5
Factor 4*l**5 - 8*l**4 + 4*l**3.
4*l**3*(l - 1)**2
Find k, given that 4*k**4/9 + 196*k**3/9 - 2500*k**2/9 + 8300*k/9 - 2000/3 = 0.
-60, 1, 5
Suppose -60*r**2 - 52*r + 8 = 0. Calculate r.
-1, 2/15
Factor d**2/3 + 1232*d + 1138368.
(d + 1848)**2/3
Suppose 2*h**2/9 - 142*h/3 = 0. What is h?
0, 213
Solve -2*h**5/3 - 494*h**4/3 - 1132*h**3 - 8680*h**2/3 - 9616*h/3 - 1280 = 0 for h.
-240, -2, -1
Factor w**2/3 + 43*w/3 + 14.
(w + 1)*(w + 42)/3
Factor 2*m**3 - 42*m**2 + 294*m - 686.
2*(m - 7)**3
Let -2*s**4 + 334*s**3 - 14106*s**2 + 13114*s + 27556 = 0. Calculate s.
-1, 2, 83
What is u in -2*u**5 + 32*u**4 - 6*u**3 - 416*u**2 + 872*u - 480 = 0?
-4, 1, 2, 15
Suppose -4*s**3/9 + 28*s**2 - 576*s + 3888 = 0. What is s?
18, 27
Find u such that -25*u**5 - 615*u**4 - 5150*u**3 - 15440*u**2 - 5760*u + 5120 = 0.
-8, -1, 2/5
Let 15*j**5/7 + 489*j**4/7 - 2343*j**3/7 + 3603*j**2/7 - 2208*j/7 