/7.
-2*(x - 128)*(x - 2)*(x + 1)/7
Factor -2*d**2/3 - 8*d/3 + 14.
-2*(d - 3)*(d + 7)/3
Factor 2*o**2/11 + 64*o/11 + 384/11.
2*(o + 8)*(o + 24)/11
Factor -n**4/2 + 7*n**3 - 69*n**2/2 + 72*n - 54.
-(n - 6)*(n - 3)**2*(n - 2)/2
Factor -s**2 - 80*s.
-s*(s + 80)
Factor -3*d**2/5 - 408*d/5 - 13872/5.
-3*(d + 68)**2/5
What is o in -2*o**5/5 + 32*o**4/5 - 176*o**3/5 + 68*o**2 + 10*o - 100 = 0?
-1, 2, 5
Factor 2*v**4 - 16*v**3 + 12*v**2 + 16*v - 14.
2*(v - 7)*(v - 1)**2*(v + 1)
Determine c, given that -2*c**2/7 + 158*c/7 + 160/7 = 0.
-1, 80
Find c such that -3*c**4 + 222*c**3 + 693*c**2 + 12*c - 924 = 0.
-2, 1, 77
Suppose 315*k**3/4 + 201*k**2/2 - 111*k + 6 = 0. Calculate k.
-2, 2/35, 2/3
Solve -4*p**4/5 + 8*p**3/5 - 4*p**2/5 = 0 for p.
0, 1
Factor -j**3/3 + 53*j**2 - 208*j + 620/3.
-(j - 155)*(j - 2)**2/3
Factor 4*c**3/5 - 16*c**2 + 76*c/5.
4*c*(c - 19)*(c - 1)/5
Determine h so that 5*h**2 + 5*h - 30 = 0.
-3, 2
Factor 3*n**4 - 1074*n**3 + 96123*n**2.
3*n**2*(n - 179)**2
Solve -4*h**5 + 14*h**4/3 + 10*h**3/3 - 14*h**2/3 + 2*h/3 = 0.
-1, 0, 1/6, 1
Suppose z**3/7 + 23*z**2/7 + 171*z/7 + 405/7 = 0. What is z?
-9, -5
Factor 87808*h**5 - 272832*h**4 + 28560*h**3 - 1012*h**2 + 12*h.
4*h*(h - 3)*(28*h - 1)**3
Determine a so that -3*a**2/8 - 1305*a/4 - 567675/8 = 0.
-435
What is u in 3*u**4/5 - u**3 + u**2/5 + u/5 = 0?
-1/3, 0, 1
Find h such that -h**5/3 - 52*h**4/3 - 49*h**3/3 + 34*h**2 = 0.
-51, -2, 0, 1
Factor -n**3 - 4*n**2 + 4*n + 16.
-(n - 2)*(n + 2)*(n + 4)
Find h such that -2*h**4/5 + 2646*h**3/5 - 876486*h**2/5 + 873842*h/5 = 0.
0, 1, 661
Factor r**4 + 5*r**3 + 3*r**2 - 5*r - 4.
(r - 1)*(r + 1)**2*(r + 4)
Factor -2*p**2/9 - 10*p/9 - 8/9.
-2*(p + 1)*(p + 4)/9
Factor -c**2/3 + 1118*c/3.
-c*(c - 1118)/3
Solve -55*n**4/4 - 87*n**3/4 - 3*n**2/4 + 35*n/4 + 3/2 = 0.
-1, -2/11, 3/5
Factor -j**2/7 + 24*j/7 - 44/7.
-(j - 22)*(j - 2)/7
Factor 3*x**2 - 51*x - 54.
3*(x - 18)*(x + 1)
Solve 4*a**3 + 181*a**2 + 1109*a + 266 = 0 for a.
-38, -7, -1/4
What is y in -80*y**3 - 28360*y**2 - 14165*y - 1770 = 0?
-354, -1/4
Solve 2*x**5 - 16*x**4 + 34*x**3 + 28*x**2 - 168*x + 144 = 0 for x.
-2, 2, 3
Factor 15*f**3 + 18*f**2 - 7137*f - 62868.
3*(f + 13)**2*(5*f - 124)
Factor 4*m**4/3 + 8*m**3 + 44*m**2/3 + 8*m.
4*m*(m + 1)*(m + 2)*(m + 3)/3
Solve 45*k**5 - 150*k**4 + 20*k**3 + 70*k**2 + 15*k = 0.
-1/3, 0, 1, 3
Determine o, given that 3*o**4/2 - 27*o**3/2 + 69*o**2/2 - 9*o/2 - 54 = 0.
-1, 3, 4
Let 5*h**3/3 + 305*h**2 + 14105*h + 41405/3 = 0. Calculate h.
-91, -1
Find d, given that -2*d**2/9 - 812*d/9 - 82418/9 = 0.
-203
Solve 4*d**3/3 - 60*d**2 + 176*d/3 = 0 for d.
0, 1, 44
Suppose 5*z**5 - 25*z**4 = 0. What is z?
0, 5
Factor 3*c**2 - 60*c + 225.
3*(c - 15)*(c - 5)
Let q**4 + 14*q**3 + 9*q**2 - 56*q - 52 = 0. What is q?
-13, -2, -1, 2
Factor 2*c**4 + 10*c**3 + 6*c**2 - 10*c - 8.
2*(c - 1)*(c + 1)**2*(c + 4)
Solve -57*g**2 - 234*g - 24 = 0 for g.
-4, -2/19
Find l such that 2*l**2/19 - 14*l/19 - 16/19 = 0.
-1, 8
What is g in -g**3 - 2*g**2 + 4*g + 8 = 0?
-2, 2
Factor y**2 + 31*y + 84.
(y + 3)*(y + 28)
Factor 3*c**2 - 93*c + 324.
3*(c - 27)*(c - 4)
Suppose -3*d**3 - 3*d**2 = 0. What is d?
-1, 0
Factor -5*w**4 + 75*w**3 - 310*w**2 + 360*w.
-5*w*(w - 9)*(w - 4)*(w - 2)
Factor 4*u**5 + 28*u**4 - 20*u**3 - 300*u**2.
4*u**2*(u - 3)*(u + 5)**2
Determine o so that -4*o**2 - 36*o + 144 = 0.
-12, 3
Factor -5*h**2 - 40*h - 35.
-5*(h + 1)*(h + 7)
Suppose 2*v**5/5 - 24*v**4/5 - 62*v**3/5 + 68*v**2/5 + 216*v/5 + 112/5 = 0. What is v?
-2, -1, 2, 14
Determine i so that -3*i**5 + 36*i**4 - 48*i**3 - 432*i**2 + 240*i + 1152 = 0.
-2, 2, 6, 8
Factor -p**5 + 5*p**4 + 33*p**3 + 27*p**2.
-p**2*(p - 9)*(p + 1)*(p + 3)
Let -o**2/2 - 469*o/2 + 235 = 0. What is o?
-470, 1
Find v, given that 150*v**4 - 405*v**3 + 174*v**2 + 99*v - 54 = 0.
-1/2, 3/5, 2
Solve -3*z**2 + 234*z - 1095 = 0.
5, 73
Factor u**3/8 + 5*u**2/8 + 3*u/8 - 9/8.
(u - 1)*(u + 3)**2/8
Factor -3*l**2/5 - 76*l/5 - 96/5.
-(l + 24)*(3*l + 4)/5
Suppose d**3/5 + 113*d**2/5 - 464*d/5 + 468/5 = 0. Calculate d.
-117, 2
Suppose -7*w**5/2 - 275*w**4/2 - 172*w**3 - 38*w**2 = 0. What is w?
-38, -1, -2/7, 0
Solve -5*i**3 - 3680*i**2 - 669700*i + 2738000 = 0 for i.
-370, 4
Let -4*o**2 + 616*o - 23716 = 0. What is o?
77
Solve 2*p**2/9 - 416*p/9 + 824/9 = 0.
2, 206
Factor -2*c**4/7 - 96*c**3/7 - 1244*c**2/7 - 2208*c/7 - 1058/7.
-2*(c + 1)**2*(c + 23)**2/7
Factor -2*n**4/9 - 818*n**3/9 - 12330*n**2 - 4917478*n/9 + 10285412/9.
-2*(n - 2)*(n + 137)**3/9
Solve 5*o**2 - 130*o + 845 = 0 for o.
13
Factor -6*c**4/11 + 11542*c**3/11 - 5548816*c**2/11 - 1850888*c/11.
-2*c*(c - 962)**2*(3*c + 1)/11
Suppose 666*s**5 + 1566*s**4 - 1304*s**3 - 2688*s**2 + 1728*s + 32 = 0. Calculate s.
-2, -2/111, 2/3, 1
Factor -5*u**4/2 - 165*u**3/2 - 80*u**2.
-5*u**2*(u + 1)*(u + 32)/2
What is o in o**5/5 + 14*o**4/5 - 183*o**3/5 + 536*o**2/5 - 368*o/5 = 0?
-23, 0, 1, 4
Factor 3*m**2 - 126*m.
3*m*(m - 42)
Find s, given that s**2/3 - 4*s + 20/3 = 0.
2, 10
Factor 2*j**4 - 66*j**3 - 72*j**2 + 136*j.
2*j*(j - 34)*(j - 1)*(j + 2)
Let -19*h**5/7 + 59*h**4/7 - 25*h**3/7 - 55*h**2/7 + 44*h/7 - 4/7 = 0. What is h?
-1, 2/19, 1, 2
Find t such that 2*t**2/9 - 10*t/3 = 0.
0, 15
Let 10*v**2/7 + 22*v/7 + 12/7 = 0. What is v?
-6/5, -1
Factor 2*z**3/3 - 92*z**2/3 - 832*z/3 - 576.
2*(z - 54)*(z + 4)**2/3
Factor 8*w**3/7 - 122*w**2/7 - 14*w + 32/7.
2*(w - 16)*(w + 1)*(4*w - 1)/7
Solve -32*d**5 - 240*d**4 - 258*d**3 + 176*d**2 - 24*d = 0.
-6, -2, 0, 1/4
Find s such that 4*s**5 - 112*s**3 + 192*s**2 = 0.
-6, 0, 2, 4
Factor r**3/2 - 553*r**2/2 - r/2 + 553/2.
(r - 553)*(r - 1)*(r + 1)/2
Solve -15*y**3 + 312*y**2 - 525*y + 228 = 0.
4/5, 1, 19
Factor -5*m**3 - 330*m**2 - 3885*m + 54760.
-5*(m - 8)*(m + 37)**2
Factor 17*z**3/8 + 106*z**2 + 10525*z/8 - 625/4.
(z + 25)**2*(17*z - 2)/8
Let -5*d**3 - 150*d**2 - 765*d - 1080 = 0. Calculate d.
-24, -3
Factor -3*w**2 + 18*w - 27.
-3*(w - 3)**2
Determine f, given that -f**3/3 + 2*f**2/3 = 0.
0, 2
Solve q**3/9 + 4*q**2/3 + 29*q/9 + 2 = 0 for q.
-9, -2, -1
Let d**3 - 83*d**2 + 1680*d + 1764 = 0. Calculate d.
-1, 42
Factor z**2 - 17*z + 16.
(z - 16)*(z - 1)
Let -10*l**4 + 125*l**3 + 65*l**2 = 0. What is l?
-1/2, 0, 13
Suppose -2*f**5 - 2*f**4 + 16*f**3 + 16*f**2 - 32*f - 32 = 0. What is f?
-2, -1, 2
Factor -10*l**4/11 - 346*l**3/11 - 3094*l**2/11 - 1734*l/11.
-2*l*(l + 17)**2*(5*l + 3)/11
Suppose -2*x**4 - 15*x**3 - 29*x**2 - 21*x - 5 = 0. What is x?
-5, -1, -1/2
What is y in -2*y**4/7 - 74*y**3/7 - 72*y**2 = 0?
-28, -9, 0
Determine h, given that -h**2 + 14*h = 0.
0, 14
Solve 5*a**3 + 4630*a**2 = 0.
-926, 0
Find a, given that a**2/6 - 8*a/3 = 0.
0, 16
Suppose 4*u**4 - 144*u**3 + 756*u**2 - 1096*u + 480 = 0. Calculate u.
1, 4, 30
Let -125*i**5 + 175*i**4 + 370*i**3 - 780*i**2 + 360*i = 0. What is i?
-2, 0, 1, 6/5
What is i in 2*i**4/9 - 10*i**2/9 + 8/9 = 0?
-2, -1, 1, 2
Suppose -50*o**5 - 2405*o**4/2 - 2451*o**3/2 - 416*o**2 - 46*o = 0. Calculate o.
-23, -2/5, -1/4, 0
Factor -p**4/8 + p**2/4 - 1/8.
-(p - 1)**2*(p + 1)**2/8
Factor 21*y**2 - 54*y + 33.
3*(y - 1)*(7*y - 11)
Let -2*m**3/5 - 4*m**2/5 - 2*m/5 = 0. What is m?
-1, 0
Factor i**2 - 1690*i.
i*(i - 1690)
Factor -2*f**2/15 + 1488*f - 4151520.
-2*(f - 5580)**2/15
Find k, given that -3*k**4 - 357*k**3 - 14040*k**2 - 177600*k + 192000 = 0.
-40, 1
Solve 2*v**5 + 42*v**4 + 66*v**3 - 202*v**2 - 228*v = 0 for v.
-19, -3, -1, 0, 2
Find m, given that m**3/7 + 163*m**2 + 326040*m/7 + 324900/7 = 0.
-570, -1
What is t in 3*t**5/5 - 6*t**4 + 51*t**3/5 - 24*t**2/5 = 0?
0, 1, 8
Solve 3*k**3/4 + 36*k**2 + 981*k/4 + 210 = 0 for k.
-40, -7, -1
Determine z, given that -z**3/6 + 73*z**2/6 - 78*z + 66 = 0.
1, 6, 66
Let -2*j**2 - 74*j/5 + 48/5 = 0. What is j?
-8, 3/5
What is w in 6*w**5/11 + 40*w**4/11 + 10*w**3/11 - 80*w**2/11 + 24*w/11 = 0?
-6, -2, 0, 1/3, 1
Factor m**5 - 59*m**4 + 1099*m**3 - 6841*m**2 + 15800*m - 10000.
(m - 25)**2*(m - 4)**2*(m - 1)
Determine a, given that -2*a**2/3 - 16*a/3 - 32/3 = 0.
-4
Factor -2*w**4 + 20*w**3 - 58*w**2 + 40*w.
-2*w*(w - 5)*(w - 4)*(w - 1)
Factor 958*t**3/9 + 5750*t**2/9 + 2878*t/3 + 2.
2*(t + 3)**2*(479*t + 1)/9
Factor -2*o**3 + 274*o**2 + 276*o.
-2*o*(o - 138)*(o + 1)
Factor 16*c**3 - 28*c**2 - 1016*c - 252.
4*(c - 9)*(c + 7)*(4*c + 1)
Suppose 6*j**4 - 32*j**3 + 30*j**2 + 12*j - 16 = 0. Calcul