 385)**2/4
Factor -24*m**4 - 116*m**3 + 164*m**2 - 24*m.
-4*m*(m - 1)*(m + 6)*(6*m - 1)
Find a such that -5*a**2/2 - 1705*a/2 - 850 = 0.
-340, -1
Solve -507*a**5/7 - 1053*a**4/7 + 867*a**3/7 + 2253*a**2/7 - 360*a/7 - 1200/7 = 0.
-20/13, -1, 1
Factor 3*n**4 - 159*n**3 - 1449*n**2 - 1065*n + 9150.
3*(n - 61)*(n - 2)*(n + 5)**2
Factor -5*b**4 + 225*b**3 - 435*b**2 + 215*b.
-5*b*(b - 43)*(b - 1)**2
Solve -3*f**5 + 18*f**4 - 3*f**3 - 72*f**2 - 48*f = 0 for f.
-1, 0, 4
Factor -2*d**4/9 - 58*d**3/9 + 256*d**2/9 - 88*d/3.
-2*d*(d - 2)**2*(d + 33)/9
Factor 18*p**4 + 104*p**3 - 510*p**2 + 108*p.
2*p*(p - 3)*(p + 9)*(9*p - 2)
Find o, given that 12*o**3 + 40*o**2 + 12*o = 0.
-3, -1/3, 0
Find m such that m**4/3 - 8*m**3 - 52*m**2/3 = 0.
-2, 0, 26
Factor s**3/4 + 827*s**2/2 + 683929*s/4.
s*(s + 827)**2/4
Factor 2*u**4/7 - 6*u**3/7 + 4*u**2/7.
2*u**2*(u - 2)*(u - 1)/7
Solve 567*m**3 - 180*m**2 + 12*m = 0 for m.
0, 2/21, 2/9
Solve -2*p**2/3 + 110*p/3 + 644 = 0.
-14, 69
Factor b**3 + 1755*b**2 + 1026675*b + 200201625.
(b + 585)**3
Suppose -2*q**3/17 + 6768*q**2/17 + 6770*q/17 = 0. Calculate q.
-1, 0, 3385
Find b, given that 2*b**2 + 32*b - 34 = 0.
-17, 1
Factor 3*o**2/7 - 9*o/7 - 810/7.
3*(o - 18)*(o + 15)/7
Factor 4*x**4 + 80*x**3 - 3124*x**2 + 3040*x.
4*x*(x - 19)*(x - 1)*(x + 40)
Factor p**4/10 + 144*p**3/5 + 10223*p**2/5 - 4176*p + 4205/2.
(p - 1)**2*(p + 145)**2/10
Find x such that -5*x**2 + 105*x - 100 = 0.
1, 20
Factor 4*m**2 - 376*m.
4*m*(m - 94)
Factor -u**2/2 + 83*u - 164.
-(u - 164)*(u - 2)/2
Factor u**4/5 - 2*u**3 + 33*u**2/5 - 8*u + 16/5.
(u - 4)**2*(u - 1)**2/5
Find n such that -44*n**5 - 360*n**4 + 816*n**3 + 160*n**2 = 0.
-10, -2/11, 0, 2
Find n, given that -63*n**4 - 24*n**3 + 75*n**2 + 24*n - 12 = 0.
-1, -2/3, 2/7, 1
Let -3*t**4 - 18*t**3 - 24*t**2 + 18*t + 27 = 0. What is t?
-3, -1, 1
Factor 4*x**3 - 1468*x**2 + 1464*x.
4*x*(x - 366)*(x - 1)
What is i in -17*i**4/7 + 7*i**3 - 45*i**2/7 + 11*i/7 + 2/7 = 0?
-2/17, 1
Factor -m**2/4 + 81*m/2.
-m*(m - 162)/4
Let -8503056*k**4 - 629856*k**3 - 17496*k**2 - 216*k - 1 = 0. What is k?
-1/54
Suppose -792*h**4 + 3552*h**3 + 1970*h**2 + 346*h + 20 = 0. Calculate h.
-2/11, -1/6, 5
Find q such that -q**5 - 9*q**4 - 18*q**3 + 32*q**2 + 96*q = 0.
-4, -3, 0, 2
Let y**3/4 + 21*y**2/4 + 30*y + 25 = 0. Calculate y.
-10, -1
Factor 4*l**3 + 3080*l**2.
4*l**2*(l + 770)
Factor -3*r**3/4 + 57*r**2/4 - 75*r/2 + 24.
-3*(r - 16)*(r - 2)*(r - 1)/4
Factor -4*r**3 - 11744*r**2/3 - 959092*r - 637656.
-4*(r + 489)**2*(3*r + 2)/3
Factor -4*j**2/7 + 64*j/7 - 60/7.
-4*(j - 15)*(j - 1)/7
Solve -5*m**3 + 30*m**2 - 25*m = 0.
0, 1, 5
Find d such that 2*d**2/5 + 1122*d/5 - 2252/5 = 0.
-563, 2
Determine o, given that -o**4 + 46*o**3 - 481*o**2 - 1104*o - 576 = 0.
-1, 24
Factor 2*d**3 + 6*d**2 - 2*d - 6.
2*(d - 1)*(d + 1)*(d + 3)
Factor a**3/2 + 11*a**2/2 + 9*a.
a*(a + 2)*(a + 9)/2
Factor 10*p**4/3 + 284*p**3/3 + 112*p**2/3.
2*p**2*(p + 28)*(5*p + 2)/3
Factor -2*n**5/3 - 18*n**4 - 48*n**3.
-2*n**3*(n + 3)*(n + 24)/3
What is h in 2*h**2/9 - 8*h - 26 = 0?
-3, 39
Suppose 232*x**5/3 - 944*x**4/3 - 1502*x**3/3 + 2254*x**2/3 - 728*x/3 + 40/3 = 0. Calculate x.
-2, 2/29, 1/2, 5
Suppose -2*s**4 + 64*s**3 - 60*s**2 - 64*s + 62 = 0. What is s?
-1, 1, 31
Factor -f**5 + 433*f**4 - 3424*f**3 + 10232*f**2 - 13616*f + 6800.
-(f - 425)*(f - 2)**4
Find s, given that -4*s**5 + 32*s**4 - 52*s**3 - 104*s**2 + 256*s - 128 = 0.
-2, 1, 4
Solve 5*t**2 + 255*t - 1100 = 0 for t.
-55, 4
Factor 5*z**2 - 5255*z + 5250.
5*(z - 1050)*(z - 1)
Factor 2*s**2/9 + 2*s/3.
2*s*(s + 3)/9
Determine w so that 5*w**5 + 20*w**4 - 20*w**3 - 110*w**2 + 15*w + 90 = 0.
-3, -1, 1, 2
Determine k, given that 2*k**5/9 + 7*k**4/9 - 28*k**3/9 + 4*k**2/3 = 0.
-6, 0, 1/2, 2
Suppose 81*j**4/2 - 1665*j**3/2 + 2378*j**2 + 1182*j + 136 = 0. What is j?
-2/9, 4, 17
Factor -q**2/2 - 2569*q - 6599761/2.
-(q + 2569)**2/2
Let 2*c**4 - 36*c**3 + 88*c**2 + 36*c - 90 = 0. Calculate c.
-1, 1, 3, 15
Suppose -3*f**5/7 + 51*f**3/7 - 48*f/7 = 0. Calculate f.
-4, -1, 0, 1, 4
Let -3*k**3 + 4947*k**2 - 2046801*k + 6095961 = 0. What is k?
3, 823
Find i, given that -5*i**3/4 + 43*i**2/4 - 41*i/2 - 10 = 0.
-2/5, 4, 5
Factor -3*t**4 + 10566*t**3 - 9324471*t**2 + 37171188*t - 37128972.
-3*(t - 1759)**2*(t - 2)**2
Factor -2*u**3/5 - 16*u**2/5 - 14*u/5.
-2*u*(u + 1)*(u + 7)/5
Find p such that p**3/5 - 71*p**2 + 31683*p/5 - 31329/5 = 0.
1, 177
Factor -4*f**2 + 8*f + 60.
-4*(f - 5)*(f + 3)
Suppose -2*n**4/21 + 902*n**3/21 - 512*n**2/3 + 1192*n/7 = 0. Calculate n.
0, 2, 447
Let -2*m**3/7 + 22*m**2/7 - 64*m/7 + 8 = 0. Calculate m.
2, 7
Suppose -24*o**5 + 524*o**4 - 2128*o**3 + 2728*o**2 - 1304*o + 204 = 0. What is o?
1/3, 1/2, 1, 3, 17
Factor -5*c**4 + 100*c**3 - 340*c**2 + 320*c.
-5*c*(c - 16)*(c - 2)**2
Suppose 2*c**3/5 - 554*c**2/5 + 7504*c + 23520 = 0. What is c?
-3, 140
Find h, given that 18*h**5/7 - 2*h**4 - 58*h**3/7 + 78*h**2/7 - 16*h/7 - 8/7 = 0.
-2, -2/9, 1
Solve -6*s**3/5 - 98*s**2/5 - 306*s/5 + 162 = 0 for s.
-9, 5/3
Factor -2*o**4/5 + 116*o**3/5 - 432*o**2 + 16524*o/5 - 45198/5.
-2*(o - 31)*(o - 9)**3/5
Let f**3/4 - f**2/2 - 735*f/4 - 1800 = 0. Calculate f.
-15, 32
Factor 4*o**3 + 316*o**2 - 644*o + 324.
4*(o - 1)**2*(o + 81)
What is k in 4*k**4 - 792*k**3 + 39972*k**2 - 74480*k - 115248 = 0?
-1, 3, 98
Suppose -f**2/7 - 209*f/7 = 0. What is f?
-209, 0
Factor 5*k**3 - 45*k**2 + 130*k - 120.
5*(k - 4)*(k - 3)*(k - 2)
Find q, given that -21*q**5 + 96*q**4 - 531*q**3/4 + 51*q**2 - 3*q = 0.
0, 1/14, 1/2, 2
Factor y**2/5 - 29*y.
y*(y - 145)/5
Factor -w**2 - 20*w - 100.
-(w + 10)**2
Let f**3 - 1043*f**2 = 0. What is f?
0, 1043
Factor -25*o**4 - 365*o**3 - 945*o**2 - 895*o - 290.
-5*(o + 1)**3*(5*o + 58)
Determine c so that 2*c**4 - 414*c**3 + 412*c**2 = 0.
0, 1, 206
Find j, given that 5*j**5 - 70*j**3 - 60*j**2 + 65*j + 60 = 0.
-3, -1, 1, 4
Determine j, given that 2*j**3/7 + 194*j**2/7 - 394*j/7 + 198/7 = 0.
-99, 1
Solve -11*l**3 - 27*l**2 - 16*l = 0 for l.
-16/11, -1, 0
Solve -2*v**5 + 12*v**4 + 6*v**3 - 40*v**2 + 24*v = 0.
-2, 0, 1, 6
Suppose -5*d**3 + 45*d**2 + 530*d + 480 = 0. Calculate d.
-6, -1, 16
Determine a so that -a**2 - 222*a - 12321 = 0.
-111
What is p in -5*p**4/3 + 2435*p**3/3 - 295240*p**2/3 - 297680*p/3 = 0?
-1, 0, 244
Factor 3*n**3/7 - 96*n**2/7 + 183*n/7 - 90/7.
3*(n - 30)*(n - 1)**2/7
Determine j, given that -2*j**4 + 48*j**3 = 0.
0, 24
Solve 3*h**4/2 + 303*h**3/2 - 153*h**2 = 0.
-102, 0, 1
Factor 4*u**5 + 40*u**4 + 120*u**3 + 160*u**2 + 100*u + 24.
4*(u + 1)**4*(u + 6)
Determine x so that x**5/8 + x**4/2 - 3*x**3/4 - x**2/2 + 5*x/8 = 0.
-5, -1, 0, 1
Factor t**3/5 + 38*t**2/5 - 128*t - 26624/5.
(t - 26)*(t + 32)**2/5
Suppose -4*p**2 - 60*p - 144 = 0. Calculate p.
-12, -3
Factor -25*p**4 - 185*p**3 - 486*p**2 - 540*p - 216.
-(p + 2)*(p + 3)*(5*p + 6)**2
Factor -b**2/4 + 251*b/4 - 125/2.
-(b - 250)*(b - 1)/4
Suppose -j**2/8 - j/8 + 55/4 = 0. Calculate j.
-11, 10
Factor -2*h**2/5 - 612*h/5 - 122.
-2*(h + 1)*(h + 305)/5
Suppose 2*q**3 + 830*q**2 - 1666*q + 834 = 0. Calculate q.
-417, 1
Factor -5*k**2/3 + 1550*k/3 - 120125/3.
-5*(k - 155)**2/3
Factor -f**4/5 - 17*f**3/5 + 37*f**2/5 - 19*f/5.
-f*(f - 1)**2*(f + 19)/5
What is w in -4*w**3 + 32*w**2 - 52*w + 24 = 0?
1, 6
Find u such that -2*u**3/11 - 8*u**2/11 - 2*u/11 + 12/11 = 0.
-3, -2, 1
Suppose -3*d**5/2 - 18*d**4 - 39*d**3 + 18*d**2 + 81*d/2 = 0. Calculate d.
-9, -3, -1, 0, 1
Suppose -4*m**2/7 + 864*m/7 - 46656/7 = 0. Calculate m.
108
Factor -p**3/6 + p**2/6 + p.
-p*(p - 3)*(p + 2)/6
Factor 3*j**4/5 + 4*j**3/5 - 23*j**2/5 - 24*j/5.
j*(j + 1)*(j + 3)*(3*j - 8)/5
Factor -8*u**4/7 + 110*u**3/7 - 52*u**2 - 14*u.
-2*u*(u - 7)**2*(4*u + 1)/7
Factor b**2 + 19*b + 34.
(b + 2)*(b + 17)
Find f, given that 5*f**5/4 + 5*f**4 + 5*f**3/2 - 5*f**2 - 15*f/4 = 0.
-3, -1, 0, 1
Factor 4*n**5 + 3660*n**4 + 839052*n**3 + 835396*n**2.
4*n**2*(n + 1)*(n + 457)**2
Factor -i**4/5 - 10*i**3 - 608*i**2/5 - 2176*i/5.
-i*(i + 8)**2*(i + 34)/5
Determine u so that -u**3/3 - 5*u**2 + 34*u/3 = 0.
-17, 0, 2
Find v, given that 242*v**5 - 814*v**4/3 - 1906*v**3/9 + 2434*v**2/9 - 272*v/9 + 8/9 = 0.
-1, 2/33, 1
Solve -2*b**2 + 1134*b + 2276 = 0 for b.
-2, 569
Factor -2*m**2/3 + 170*m/3 + 1288/3.
-2*(m - 92)*(m + 7)/3
Factor 3*y**5 + 87*y**4 - 117*y**3 - 843*y**2 - 1002*y - 360.
3