+ 3*u**2 + 783*u + 4617 = 0.
-9, 19
Let 2*a**2/7 - 14*a - 1180/7 = 0. Calculate a.
-10, 59
What is q in -5*q**5 + 3*q**4 + 67*q**3 + 21*q**2 - 62*q - 24 = 0?
-3, -1, -2/5, 1, 4
Factor m**3/4 - 7*m/4 - 3/2.
(m - 3)*(m + 1)*(m + 2)/4
Factor -5*r**2 - 12700*r - 8064500.
-5*(r + 1270)**2
Factor -t**4/10 + 3*t**3/10 + t**2/10 - 3*t/10.
-t*(t - 3)*(t - 1)*(t + 1)/10
Find h such that 495*h**4 - 1113*h**3 + 186*h**2 + 132*h - 24 = 0.
-1/3, 2/11, 2/5, 2
Solve 4*o**5/3 + 260*o**4/3 - 1084*o**3/3 + 1372*o**2/3 - 184*o = 0.
-69, 0, 1, 2
Solve 2*l**3/17 + 8*l**2/17 - 914*l/17 - 920/17 = 0 for l.
-23, -1, 20
Factor -4*d**3 - 40*d**2 - 12*d + 216.
-4*(d - 2)*(d + 3)*(d + 9)
Factor 16*s**2 + 12*s - 40.
4*(s + 2)*(4*s - 5)
Factor 2*w**2/13 + 36*w/13 - 230/13.
2*(w - 5)*(w + 23)/13
Factor -2*m**4/9 - 62*m**3/9 + 140*m**2/3 - 872*m/9 + 592/9.
-2*(m - 2)**3*(m + 37)/9
Suppose 3*p**3/4 + 147*p**2/4 + 360*p + 999 = 0. Calculate p.
-37, -6
Factor -g**2/3 + 34*g/3 + 65.
-(g - 39)*(g + 5)/3
Suppose -15*t**5/2 + 35*t**4/2 + 15*t**3 - 30*t**2 - 20*t = 0. Calculate t.
-1, -2/3, 0, 2
Factor 5*w**3 - 42780*w**2 + 122008560*w - 115989471040.
5*(w - 2852)**3
Factor k**2 + 186*k + 185.
(k + 1)*(k + 185)
Factor -z**3 + 22*z**2 - 57*z.
-z*(z - 19)*(z - 3)
Suppose -w**2/3 + 48*w - 1088/3 = 0. What is w?
8, 136
Factor w**3 - 3*w**2.
w**2*(w - 3)
Solve -3*w**5/7 - 66*w**4/7 - 312*w**3/7 - 366*w**2/7 + 45*w + 432/7 = 0 for w.
-16, -3, -1, 1
Factor -5*j**2 + 25*j.
-5*j*(j - 5)
Determine j, given that -4*j**3 + 228*j**2 + 4*j - 228 = 0.
-1, 1, 57
Factor 2*n**2/13 - 54*n/13 + 100/13.
2*(n - 25)*(n - 2)/13
Factor 5*p**4 - 130*p**3 + 460*p**2 + 1330*p + 735.
5*(p - 21)*(p - 7)*(p + 1)**2
Factor -o**3/3 - 179*o**2/3.
-o**2*(o + 179)/3
Let -2*t**2 - 34*t + 36 = 0. What is t?
-18, 1
Suppose -2*g**2/11 - 148*g/11 - 2738/11 = 0. What is g?
-37
Factor x**3/6 - 7*x**2 - 15*x/2 + 43/3.
(x - 43)*(x - 1)*(x + 2)/6
Factor 11*b**4 - 97*b**3 - 249*b**2 - 163*b - 22.
(b - 11)*(b + 1)**2*(11*b + 2)
Solve -3*q**5 - 24*q**4 - 54*q**3 - 12*q**2 + 57*q + 36 = 0.
-4, -3, -1, 1
Let -5*b**3 + 65*b**2 - 280*b + 400 = 0. What is b?
4, 5
Solve -76*h**2/5 - 392*h/5 - 316/5 = 0.
-79/19, -1
Suppose -2*d**4/5 - 386*d**3/5 - 19194*d**2/5 - 10982*d - 7220 = 0. What is d?
-95, -2, -1
Factor 5*h**2 - 1750*h + 153125.
5*(h - 175)**2
Let v**5/2 + 3*v**4/4 - 5*v**3/2 + 2*v - 3/4 = 0. What is v?
-3, -1, 1/2, 1
Factor 2*h**2/15 - 26*h/15 - 4.
2*(h - 15)*(h + 2)/15
Factor o**2/5 + 589*o/5 - 1182/5.
(o - 2)*(o + 591)/5
Factor -3*q**2 - 1083*q.
-3*q*(q + 361)
Factor 3*l**2 - 18*l + 24.
3*(l - 4)*(l - 2)
Determine r so that r**3/3 + 319*r**2/3 - 641*r/3 + 107 = 0.
-321, 1
Suppose 14*w**5 - 1468*w**4/3 + 2740*w**3/3 - 1112*w**2/3 - 334*w/3 + 44 = 0. What is w?
-1/3, 2/7, 1, 33
Determine r so that 2*r**5 + 2*r**4 - 6*r**3 - 10*r**2 - 4*r = 0.
-1, 0, 2
Solve 5*q**2 - 325*q = 0.
0, 65
Find i such that 5*i**4/2 + 25*i**3 + 30*i**2 - 180*i = 0.
-6, 0, 2
Factor -44*f**2 + 16*f.
-4*f*(11*f - 4)
Find y, given that -y**3 + 71*y**2 - 68*y - 140 = 0.
-1, 2, 70
Let x**4/4 + 7*x**3/4 + 15*x**2/4 + 13*x/4 + 1 = 0. What is x?
-4, -1
Factor 4*q**2 - 64*q - 68.
4*(q - 17)*(q + 1)
Factor -57*t**3 + 16*t**2 + 39*t + 2.
-(t - 1)*(3*t + 2)*(19*t + 1)
Suppose -2*d**3/5 + 48*d**2 - 1920*d + 25600 = 0. What is d?
40
Factor -5*t**4 - 60*t**3 + 110*t**2 + 1980*t - 2025.
-5*(t - 5)*(t - 1)*(t + 9)**2
Solve -k**3 - 59*k**2 - 840*k + 900 = 0.
-30, 1
Factor -2*k**2/9 + 308*k/9 - 11858/9.
-2*(k - 77)**2/9
Factor 4*r**3 - 84*r**2 - 180*r - 92.
4*(r - 23)*(r + 1)**2
Find d such that 3*d**3 - 162*d**2 - 1440*d - 2976 = 0.
-4, 62
Determine d, given that 4*d**3 - 20*d**2 - 4*d + 20 = 0.
-1, 1, 5
What is b in 3*b**4 + 3*b**3 - 18*b**2 - 12*b + 24 = 0?
-2, 1, 2
Factor g**4/3 - 7*g**3/3 - g**2/3 + 7*g/3.
g*(g - 7)*(g - 1)*(g + 1)/3
Factor -c**5 - 2*c**4 + 2*c**2 + c.
-c*(c - 1)*(c + 1)**3
Determine u, given that -2*u**3 + 163*u**2/2 + 569*u/2 + 66 = 0.
-3, -1/4, 44
Factor -2*v**2/15 - 3872*v/15 - 1874048/15.
-2*(v + 968)**2/15
Factor l**2/2 - 2498*l + 3120002.
(l - 2498)**2/2
Determine j, given that 2*j**5 - 852*j**4 + 90730*j**3 + 3408*j**2 - 362952*j = 0.
-2, 0, 2, 213
Determine q so that -q**4/6 - 11*q**3/6 - 37*q**2/6 - 15*q/2 - 3 = 0.
-6, -3, -1
Find b, given that 2*b**3 + 818*b**2 - 2468*b + 1648 = 0.
-412, 1, 2
Let 3*o**4 - 54*o**3 + 33*o**2 + 306*o = 0. Calculate o.
-2, 0, 3, 17
Determine j so that -2*j**5/11 + 32*j**4/11 - 146*j**3/11 + 68*j**2/11 + 56*j - 784/11 = 0.
-2, 2, 7
Let -18*z**3 - 48*z**2 + 35*z/2 - 3/2 = 0. Calculate z.
-3, 1/6
Determine x, given that 4*x**2 + 452*x - 3360 = 0.
-120, 7
Factor 7*j**3 - 16*j**2 - 17*j + 6.
(j - 3)*(j + 1)*(7*j - 2)
Find x, given that -12*x**5 + 64*x**4 - 68*x**3 + 16*x**2 = 0.
0, 1/3, 1, 4
Suppose 5*v**3/2 - 305*v**2/2 + 425*v + 580 = 0. What is v?
-1, 4, 58
Solve 176*m**2/7 + 25*m - 1/7 = 0.
-1, 1/176
Factor 3*m**2 + 123*m - 846.
3*(m - 6)*(m + 47)
Find k, given that 2*k**5 - 40*k**4 + 156*k**3 + 440*k**2 + 242*k = 0.
-1, 0, 11
Find a such that 3*a**4/5 - 42*a**3/5 - 336*a**2/5 - 96*a = 0.
-4, -2, 0, 20
Find p such that -2*p**2/9 - 142*p - 1276/9 = 0.
-638, -1
Determine y, given that y**2 - 112*y - 113 = 0.
-1, 113
Factor -5*x**4/3 + 5*x**2/3.
-5*x**2*(x - 1)*(x + 1)/3
Determine d, given that 2*d**3/11 - 1068*d**2/11 + 1062*d/11 + 2132/11 = 0.
-1, 2, 533
Factor 27*x**2/4 - 379*x/4 + 7/2.
(x - 14)*(27*x - 1)/4
Find o, given that -o**3/5 + 9*o**2/5 + 22*o/5 = 0.
-2, 0, 11
Let 8*v**4 - 54*v**3 + 108*v**2 - 54*v = 0. What is v?
0, 3/4, 3
Factor -l**4 + 128*l**3 + 1075*l**2 + 1762*l + 816.
-(l - 136)*(l + 1)**2*(l + 6)
Suppose 3*x**2 + 177*x - 180 = 0. What is x?
-60, 1
Factor -k**5/4 + 5*k**4/4 - 3*k**3/2.
-k**3*(k - 3)*(k - 2)/4
Factor -g**3/7 + 127*g**2/7 + 128*g/7.
-g*(g - 128)*(g + 1)/7
Suppose -p**5/7 + 17*p**4/7 - 62*p**3/7 - 14*p**2 + 9*p + 81/7 = 0. Calculate p.
-1, 1, 9
What is m in -6*m**5/11 - 18*m**4/11 + 96*m**3/11 + 48*m**2 + 864*m/11 + 480/11 = 0?
-2, 5
Solve 5*y**3 + 390*y**2 - 795*y + 400 = 0 for y.
-80, 1
Factor -g**4/4 + 5*g**3/4 + g**2/4 - 5*g/4.
-g*(g - 5)*(g - 1)*(g + 1)/4
Suppose -b**2/4 - 5*b/4 = 0. What is b?
-5, 0
Let 2*i**2 + 204*i + 4144 = 0. What is i?
-74, -28
Solve -2*p**5 + 16*p**4 + 6*p**3 - 44*p**2 - 32*p = 0 for p.
-1, 0, 2, 8
Suppose -1125*l**3/4 - 1200*l**2 - 305*l - 20 = 0. What is l?
-4, -2/15
Factor -3*k**2 - 57*k + 60.
-3*(k - 1)*(k + 20)
Let -18*v**4 + 14*v**3 + 94*v**2 + 74*v + 12 = 0. What is v?
-1, -2/9, 3
Factor w**3 - 7*w**2.
w**2*(w - 7)
Factor 5*n**5/4 - 5*n**4/4 - 35*n**3/2 - 65*n**2/2 - 95*n/4 - 25/4.
5*(n - 5)*(n + 1)**4/4
Let -2*c**3 + 20*c**2 + 174*c + 288 = 0. Calculate c.
-3, 16
Factor 26*q**2/7 + 82*q/7 + 12/7.
2*(q + 3)*(13*q + 2)/7
Factor 2251442*o**2/9 - 8488*o/9 + 8/9.
2*(1061*o - 2)**2/9
Let -2*i**3/3 + 64*i**2/9 - 190*i/9 + 100/9 = 0. Calculate i.
2/3, 5
Find l, given that -2*l**4/7 - 188*l**3/7 - 366*l**2/7 + 188*l/7 + 368/7 = 0.
-92, -2, -1, 1
Factor c**3 + 7*c**2 - 21*c - 27.
(c - 3)*(c + 1)*(c + 9)
Factor r**2/8 - 11*r/8 - 3/2.
(r - 12)*(r + 1)/8
Solve -c**5 + c**4 + 5*c**3 + 3*c**2 = 0.
-1, 0, 3
Find v such that -v**3/8 + 91*v**2/8 + 60*v = 0.
-5, 0, 96
Suppose -z**4/5 - 219*z**3/5 - 12099*z**2/5 - 11881*z/5 = 0. Calculate z.
-109, -1, 0
What is b in 3*b**4 - 1308*b**3 + 145164*b**2 - 565056*b + 559872 = 0?
2, 216
Solve o**4 + 127*o**3 = 0 for o.
-127, 0
Factor v**2/8 - 58*v + 6728.
(v - 232)**2/8
Factor 16*p**5 + 120*p**4 - 207*p**3 + 80*p**2 - 9*p.
p*(p - 1)*(p + 9)*(4*p - 1)**2
Solve -3*m**5/2 - 45*m**4/2 - 147*m**3/2 - 171*m**2/2 - 33*m = 0 for m.
-11, -2, -1, 0
Factor 3*c**2 + 51*c.
3*c*(c + 17)
Factor 4*v**2 + 304*v + 1420.
4*(v + 5)*(v + 71)
Solve 4*w**2 + 108*w = 0.
-27, 0
Solve -5*r**4 + 70*r**3 + 1800*r**2 + 10250*r + 18125 = 0 for r.
-5, 29
Factor -2*c**2 - 24324*c - 73957122.
-2*(c + 6081)**2
Find o such that 5*o**4 - 15*o**3 - 100*o**2 + 240*o + 320 = 0.
-4, -1, 4
Factor 5*d**3 - 80*d**2 + 65*d + 150.
5*(d - 15)*(d - 2)*(d + 1)
Solve -2*l**3 - 784*l**2 + 786*l = 0 for l.
-393, 0, 1
Factor -4*h**2 - 32*h - 64.
-4*(h + 4)**2
Factor -6*w**3/5 - 306*w**2 - 9018*w/5 - 13446/5.
-6*(w + 3)**2*(w + 249)/5
Factor -4*n**3 - 224*n**2 - 436*n - 216.
-4*(n + 1)**2*(n + 54)
Let -3*t**2 + 1062*t + 1065 = 0. What is t?
-1, 355
Find n such that -3*n*