10)**2*(p + 8)
Let 4*p**2 - 520*p + 516 = 0. Calculate p.
1, 129
Factor -3*j**3 - 1632*j**2 - 223575*j - 440646.
-3*(j + 2)*(j + 271)**2
Solve -2*b**4/5 - 66*b**3/5 - 594*b**2/5 - 1998*b/5 - 2268/5 = 0.
-21, -6, -3
Factor -2*o**2/7 - 3728*o/7 - 1737248/7.
-2*(o + 932)**2/7
Factor -2*b**2/3 + 6*b + 104/3.
-2*(b - 13)*(b + 4)/3
Find i such that 3*i**3 + 357*i**2 + 10797*i + 10443 = 0.
-59, -1
Factor 5*s**4 + 825*s**3 + 45375*s**2 + 831875*s.
5*s*(s + 55)**3
Determine o so that -2*o**3 + 464*o**2 + 466*o = 0.
-1, 0, 233
Find v, given that v**2/5 + 894*v/5 + 199809/5 = 0.
-447
Suppose -2*h**4 + 118*h**3 - 108*h**2 - 472*h + 464 = 0. What is h?
-2, 1, 2, 58
Factor 5*z**3 - 5*z**2 - 20*z + 20.
5*(z - 2)*(z - 1)*(z + 2)
Factor 2*b**2/13 - 120*b/13 + 232/13.
2*(b - 58)*(b - 2)/13
Suppose d**5 + 5*d**4 - 7*d**3 - 5*d**2 + 6*d = 0. Calculate d.
-6, -1, 0, 1
Solve 2*v**3 + 338*v**2 + 673*v/2 + 84 = 0.
-168, -1/2
Determine k, given that 2*k**4 - 608*k**3 + 61200*k**2 - 1997568*k - 4244832 = 0.
-2, 102
Factor 5*o**5 - 10*o**4 - 20*o**3 + 10*o**2 + 15*o.
5*o*(o - 3)*(o - 1)*(o + 1)**2
Solve a**2/4 - 3*a/2 + 9/4 = 0.
3
Factor 5*f**2 + 65*f + 60.
5*(f + 1)*(f + 12)
Factor -2*l**3 + 2*l**2 + 40*l.
-2*l*(l - 5)*(l + 4)
Determine z so that z**2/6 - z/2 = 0.
0, 3
Suppose -4*q**2/3 + 368*q/3 - 8464/3 = 0. Calculate q.
46
Solve -2*t**5 + 68*t**4 + 4*t**3 - 136*t**2 - 2*t + 68 = 0 for t.
-1, 1, 34
Determine o, given that 64*o**3/3 + 32*o**2 - 3348*o + 14580 = 0.
-15, 27/4
Factor -85*r**5/3 - 460*r**4/3 - 330*r**3 - 1060*r**2/3 - 565*r/3 - 40.
-5*(r + 1)**4*(17*r + 24)/3
Factor -r**3/2 - 143*r**2/2 - 1355*r/2 - 3325/2.
-(r + 5)**2*(r + 133)/2
Factor -3*g**2/4 - 1893*g/2 - 1194483/4.
-3*(g + 631)**2/4
Suppose -2*m**3/3 - 92*m**2/3 - 176*m/3 = 0. What is m?
-44, -2, 0
Determine v, given that 65*v**2/3 - 34*v/3 - 1 = 0.
-1/13, 3/5
Factor -21*x**3 - 44*x**2 + 59*x + 6.
-(x - 1)*(x + 3)*(21*x + 2)
Factor 3*r**3/4 - 3*r**2 + 3*r/4 + 9/2.
3*(r - 3)*(r - 2)*(r + 1)/4
Suppose h**4/2 + 461*h**3/6 - 26*h**2 - 154*h/3 = 0. Calculate h.
-154, -2/3, 0, 1
Factor w**2/6 + 4*w/3.
w*(w + 8)/6
Factor v**2 + 15618*v + 60980481.
(v + 7809)**2
Factor z**4/7 + 2*z**3/7 - 3*z**2/7 - 8*z/7 - 4/7.
(z - 2)*(z + 1)**2*(z + 2)/7
Factor -d**2/2 + 5036*d - 12680648.
-(d - 5036)**2/2
Let -4*o**2/7 + 32*o = 0. Calculate o.
0, 56
Solve 5*q**2 + 72040*q + 259488080 = 0 for q.
-7204
Factor q**4/4 - q**3/4 - 12*q**2 + 44*q - 32.
(q - 4)**2*(q - 1)*(q + 8)/4
What is t in -4*t**5 + 12*t**4 + 72*t**3 = 0?
-3, 0, 6
Find r, given that -6*r**5 - r**4 + 12*r**3 + 2*r**2 - 6*r - 1 = 0.
-1, -1/6, 1
Factor i**3/5 + 8*i**2/5 + 7*i/5.
i*(i + 1)*(i + 7)/5
Suppose -3*z**3/8 - 3963*z**2/4 - 5235123*z/8 = 0. What is z?
-1321, 0
Solve w**3/4 + 109*w**2/2 + 3681*w/4 + 4050 = 0 for w.
-200, -9
Let -2*a**3 - 158*a**2 - 3040*a + 3200 = 0. Calculate a.
-40, 1
Factor d**5 + 64*d**4 - 407*d**3 + 898*d**2 - 836*d + 280.
(d - 2)**2*(d - 1)**2*(d + 70)
Factor -5*x**2 - 13910*x - 9674405.
-5*(x + 1391)**2
Factor 4*m**3 + 32*m**2 - 36*m.
4*m*(m - 1)*(m + 9)
Let -5*p**2 - 85*p + 300 = 0. What is p?
-20, 3
Find v such that 8*v**3/3 + 20*v**2/3 - 52*v + 24 = 0.
-6, 1/2, 3
Find d such that 27*d**3 - 873*d**2 + 1128*d - 372 = 0.
2/3, 31
Let -m**4/5 + 9*m**2/5 - 4*m/5 - 12/5 = 0. Calculate m.
-3, -1, 2
Factor z**4 - 7*z**3 + 18*z**2 - 20*z + 8.
(z - 2)**3*(z - 1)
Solve 2*f**3/9 + 2*f**2/9 - 4*f/9 = 0.
-2, 0, 1
Factor 12*m**3 + 64268*m**2 + 86038784*m - 28686736.
4*(m + 2678)**2*(3*m - 1)
Factor -5*i**5 + 10*i**4 + 15*i**3.
-5*i**3*(i - 3)*(i + 1)
What is b in -5*b**3/2 + 75*b**2/2 + 40*b = 0?
-1, 0, 16
Factor 3*p**3 + 129*p**2 + 756*p.
3*p*(p + 7)*(p + 36)
What is z in 4*z**3 + 160*z**2 + 308*z + 152 = 0?
-38, -1
Factor 4*x**4/3 + 80*x**3/3 + 76*x**2/3.
4*x**2*(x + 1)*(x + 19)/3
Let 10*r**5 + 5*r**4 - 85*r**3 - 80*r**2 + 60*r = 0. What is r?
-2, 0, 1/2, 3
Solve -3*u**3 + 93*u + 90 = 0 for u.
-5, -1, 6
Factor -3*g**2 + 432*g + 435.
-3*(g - 145)*(g + 1)
Suppose 2*f**3/9 - 2*f**2/9 - 52*f/9 - 16/3 = 0. What is f?
-4, -1, 6
Factor -24565*n**4 - 50575*n**3 - 35190*n**2 - 10260*n - 1080.
-5*(n + 1)*(17*n + 6)**3
Factor 5*o**2 - 8210*o + 3370205.
5*(o - 821)**2
Let -2*n**4 + 2*n**3 + 12*n**2 = 0. Calculate n.
-2, 0, 3
Factor -2*j**5/3 + 10*j**4/3 - 6*j**3 + 14*j**2/3 - 4*j/3.
-2*j*(j - 2)*(j - 1)**3/3
What is r in -3*r**3/4 - 9*r**2 - 87*r/4 - 27/2 = 0?
-9, -2, -1
Factor 3*j**3/5 + 1398*j**2/5 - 1401*j/5.
3*j*(j - 1)*(j + 467)/5
Suppose -25*w**5 - 130*w**4 - 200*w**3 - 110*w**2 - 15*w = 0. Calculate w.
-3, -1, -1/5, 0
Factor -c**2/7 + 23*c/7 + 108/7.
-(c - 27)*(c + 4)/7
Determine y, given that -6*y**3/7 + 750*y**2/7 - 198*y - 11070/7 = 0.
-3, 5, 123
Factor 2*a**2/3 - 16*a - 390.
2*(a - 39)*(a + 15)/3
Factor 4*p**2 - 84*p + 360.
4*(p - 15)*(p - 6)
Suppose -5632*g**4 + 13760*g**3 - 4902*g**2 - 280*g + 200 = 0. Calculate g.
-2/11, 5/16, 2
Determine j so that 32*j**3/7 - 48*j**2/7 - 18*j - 54/7 = 0.
-3/4, 3
Let -4*g**3/5 - 4*g**2 + 32*g/5 + 48/5 = 0. Calculate g.
-6, -1, 2
Solve -3*g**5 + 762*g**4 - 47616*g**3 - 98304*g**2 = 0.
-2, 0, 128
Factor -5*r**2/3 + 353*r/3 + 142/3.
-(r - 71)*(5*r + 2)/3
What is d in -2*d**4/7 + 2*d**3 - 22*d**2/7 - 2*d + 24/7 = 0?
-1, 1, 3, 4
Let 2535*p**5 + 1677*p**4 + 369*p**3 + 27*p**2 = 0. What is p?
-3/13, -1/5, 0
Factor -4*n**3/5 + 76*n**2/5 - 176*n/5 - 256/5.
-4*(n - 16)*(n - 4)*(n + 1)/5
Determine p, given that -2*p**5 - 21*p**4 - 41*p**3 - 6*p**2 + 16*p = 0.
-8, -2, -1, 0, 1/2
Factor 4*x**2/5 - 2684*x/5 - 5384/5.
4*(x - 673)*(x + 2)/5
Factor 10*y**3/11 - 12*y**2/11 - 16*y/11.
2*y*(y - 2)*(5*y + 4)/11
Find j such that -j**3/9 + 47*j**2/9 + 266*j/9 - 104/3 = 0.
-6, 1, 52
Factor x**2/8 + 248*x + 123008.
(x + 992)**2/8
Solve 2*h**5/11 - 324*h**4/11 + 18042*h**3/11 - 370136*h**2/11 + 113568*h + 7592832/11 = 0 for h.
-3, 9, 52
Let 3*t**4/8 + 21*t**3/4 - 3*t**2/8 - 21*t/4 = 0. What is t?
-14, -1, 0, 1
Factor 4*y**4/7 - 36*y**3/7 + 16*y**2 - 144*y/7 + 64/7.
4*(y - 4)*(y - 2)**2*(y - 1)/7
What is o in 80*o**3 - 5640*o**2 + 102165*o - 96605 = 0?
1, 139/4
Factor -4*v**2 - 2112*v.
-4*v*(v + 528)
Find w, given that -2*w**3 + 6*w**2 + 48*w + 56 = 0.
-2, 7
What is q in -38*q**2/3 - 2120*q/3 + 448/3 = 0?
-56, 4/19
Factor l**2/3 + 10*l/3 - 11/3.
(l - 1)*(l + 11)/3
Let 15*c**3/7 - 2484*c**2/7 + 102339*c/7 + 41334/7 = 0. What is c?
-2/5, 83
Solve 100*t**5/3 - 260*t**4/3 + 124*t**3/3 + 196*t**2/3 - 224*t/3 + 64/3 = 0 for t.
-1, 4/5, 1
Factor 2*t**2/11 + 1432*t/11.
2*t*(t + 716)/11
Factor 2*p**3 + 22*p**2 + 16*p - 40.
2*(p - 1)*(p + 2)*(p + 10)
Factor -y**2 + 1305*y - 2606.
-(y - 1303)*(y - 2)
Factor -4*y**5 + 16*y**4 - 16*y**3 - 8*y**2 + 20*y - 8.
-4*(y - 2)*(y - 1)**3*(y + 1)
Factor 5*z**3 + 30*z**2 - 75*z + 40.
5*(z - 1)**2*(z + 8)
Suppose -2*t**4 - 44*t**3 + 312*t**2 - 656*t + 448 = 0. Calculate t.
-28, 2
Factor 3*a**3/8 - 9*a**2/4.
3*a**2*(a - 6)/8
Find f, given that -3*f**4/2 - 6*f**3 + 27*f**2/2 + 24*f - 30 = 0.
-5, -2, 1, 2
What is n in 8*n**3 - 18*n**2 - 6*n + 20 = 0?
-1, 5/4, 2
Suppose w**3/4 - 127*w**2/4 + 125*w/2 = 0. What is w?
0, 2, 125
Let -2*k**5/3 + 44*k**4/3 - 98*k**3 + 868*k**2/3 - 1192*k/3 + 208 = 0. What is k?
2, 3, 13
Find r such that r**3/4 - 2*r**2 - 5*r = 0.
-2, 0, 10
Factor i**4/8 + 35*i**3/8 - 37*i**2/8 - 35*i/8 + 9/2.
(i - 1)**2*(i + 1)*(i + 36)/8
Factor -4*y**5 + 332*y**4.
-4*y**4*(y - 83)
Factor 3*o**2/4 + 1239*o/2 + 2475/4.
3*(o + 1)*(o + 825)/4
Let 2*w**2/9 + 2*w - 20 = 0. Calculate w.
-15, 6
Find y such that -y**2 - 6*y + 7 = 0.
-7, 1
Find y such that 2*y**2/5 + 134*y/5 + 132/5 = 0.
-66, -1
Factor 4*v**2 - 344*v + 7396.
4*(v - 43)**2
Let -2*r**2/7 + 142*r/7 - 276/7 = 0. What is r?
2, 69
Suppose -2*r**4/3 + 2*r**3 + 28*r**2/3 - 8*r - 80/3 = 0. What is r?
-2, 2, 5
Solve -9*c**5/5 - 84*c**4/5 - 237*c**3/5 - 198*c**2/5 + 84*c/5 + 24 = 0.
-5, -2, -1, 2/3
Solve -238*l**2 - 244*l - 6 = 0.
-1, -3/119
Find f, given that 4*f**5/5 + 88*f**4/5 + 276*f**3/5 - 2288*f**2/5 + 2704*f/5 = 0.
-13, 0, 2
Factor 3*g**2/7 + 3*g - 90/7.
3*(g - 3)*(g + 10)/7
Factor 2*y**5/7 + 2*y**4 + 20*y**3/7 - 4*y**2/7 - 22*y/7 - 10/7.
2*(y - 1)*(y + 1)**3*(y + 5)/7
Suppose -f**4 - 20*f**3 - 51*f**2 + 4*f + 68 = 0. What is f?
-17, -2, 1
Factor 4*q**3 - 83*q**2 + 195*q + 54.
(q - 18)*(q - 3)*(4*q + 1)
What is o in -7*o**2/3 + 307*o/6 + 