*x**2/3 - x.
-x*(x - 3)*(x - 1)/3
Find b such that 3*b**2 + 246*b + 5043 = 0.
-41
Factor f**4/2 + 11*f**3 - 23*f**2/2.
f**2*(f - 1)*(f + 23)/2
Factor 2*r**3 + 16*r**2 - 18*r.
2*r*(r - 1)*(r + 9)
Suppose -r**2/4 - r/2 + 35/4 = 0. What is r?
-7, 5
Determine l so that l**3 + 18*l**2 - 40*l = 0.
-20, 0, 2
What is t in -44*t**4 - 8*t**3 + 308*t**2 + 320*t + 48 = 0?
-2, -1, -2/11, 3
Determine w, given that -2*w**2 - 390*w - 388 = 0.
-194, -1
Factor 15*o**3 + 245*o**2 - 775*o - 285.
5*(o - 3)*(o + 19)*(3*o + 1)
Determine n so that -2*n**2/17 - 274*n/17 - 1572/17 = 0.
-131, -6
Factor -4*w**4 - 108*w**3 - 756*w**2 - 2052*w - 1944.
-4*(w + 3)**3*(w + 18)
Determine i so that -5*i**2 - 220*i - 2340 = 0.
-26, -18
Find f, given that 8*f**4/3 - 68*f**3/3 + 128*f**2/3 - 16*f = 0.
0, 1/2, 2, 6
Determine n so that n**5/10 - 3*n**4/2 - 9*n**3/5 + 16*n**2/5 = 0.
-2, 0, 1, 16
Factor 2*w**4/5 + 8*w**3/5.
2*w**3*(w + 4)/5
Let -12*p**2 + 152*p + 52 = 0. What is p?
-1/3, 13
Factor -3*c**2 - 23118*c - 44536827.
-3*(c + 3853)**2
Find f such that f**4/3 - 4*f**3 = 0.
0, 12
Find m such that 2*m**5/17 - 26*m**4/17 + 60*m**3/17 = 0.
0, 3, 10
Factor -2*s**2/11 + 190*s/11.
-2*s*(s - 95)/11
Determine u so that 2*u**4/9 + 4*u**3 + 184*u**2/9 + 116*u/3 + 22 = 0.
-11, -3, -1
Factor 2*w**4/5 + 18*w**3/5 - 24*w**2/5 - 8*w.
2*w*(w - 2)*(w + 1)*(w + 10)/5
Factor x**3 + 9*x**2 - 30*x - 88.
(x - 4)*(x + 2)*(x + 11)
Factor -7*d**2 - 13*d + 2.
-(d + 2)*(7*d - 1)
Suppose -2*x**2 + 824*x - 84872 = 0. What is x?
206
Solve r**2/3 - 22*r = 0.
0, 66
Factor 120*n**2 - 2905*n - 1990.
5*(3*n + 2)*(8*n - 199)
Factor -3*w**2 - 78*w/7 + 24/7.
-3*(w + 4)*(7*w - 2)/7
Solve 3*p**2/4 - 15*p/8 - 27/4 = 0 for p.
-2, 9/2
Solve t**2 - 1355*t - 2714 = 0 for t.
-2, 1357
Factor -2*i**2/5 - 34*i/5.
-2*i*(i + 17)/5
Find w such that -13*w**3 - 54*w**2 - 47*w - 6 = 0.
-3, -1, -2/13
Factor -y**2/2 - y + 12.
-(y - 4)*(y + 6)/2
Factor 12*j**2 + 297*j - 75.
3*(j + 25)*(4*j - 1)
Factor -2*w**4/3 - 1138*w**3/3 - 71820*w**2 - 13501400*w/3 + 13718000/3.
-2*(w - 1)*(w + 190)**3/3
Factor s**4/7 - 16*s**3/7 - 2*s**2/7 + 528*s/7 + 1089/7.
(s - 11)**2*(s + 3)**2/7
Solve 2*y**3/3 - 26*y**2 + 616*y/3 + 520 = 0 for y.
-2, 15, 26
Let -22*c**3/25 + 26*c**2/5 - 234*c/25 + 126/25 = 0. Calculate c.
1, 21/11, 3
Solve -10*g**4/9 + 6044*g**3/9 - 802*g**2/3 - 6044*g/9 + 2416/9 = 0.
-1, 2/5, 1, 604
Solve -g**3 - 8*g**2 + 12*g + 144 = 0.
-6, 4
Factor c**4/3 - 4*c**3 + 12*c**2 - 32*c/3.
c*(c - 8)*(c - 2)**2/3
Factor -3*t**4 + 32265*t**3 - 115670025*t**2 + 138225679875*t.
-3*t*(t - 3585)**3
Factor 2*c**5 + 84*c**4 + 162*c**3 + 80*c**2.
2*c**2*(c + 1)**2*(c + 40)
Let 6*a**4 - 212*a**3 + 66*a**2 + 140*a = 0. What is a?
-2/3, 0, 1, 35
Find t such that 2*t**4 + 8*t**3 + 2*t**2 - 12*t = 0.
-3, -2, 0, 1
Factor -90601*j**2/4 - 903*j/2 - 9/4.
-(301*j + 3)**2/4
Suppose 4*h**5 + 52*h**4 + 236*h**3 + 476*h**2 + 432*h + 144 = 0. What is h?
-6, -3, -2, -1
Determine i, given that 15*i**3 + 50*i**2 + 5*i - 30 = 0.
-3, -1, 2/3
Suppose -8*p**5 - 28*p**4 - 16*p**3 + 28*p**2 + 24*p = 0. Calculate p.
-2, -3/2, -1, 0, 1
Factor -8*j**2 - 68*j - 120.
-4*(j + 6)*(2*j + 5)
What is u in -5*u**4 + 170*u**3 - 475*u**2 + 310*u = 0?
0, 1, 2, 31
Factor -b**3 + 23*b**2 + 49*b + 25.
-(b - 25)*(b + 1)**2
Factor -2187*d**4 - 13851*d**3 + 9882*d**2 - 2244*d + 168.
-3*(d + 7)*(9*d - 2)**3
Let -u**5 + 15*u**4 - 13*u**3 - 15*u**2 + 14*u = 0. Calculate u.
-1, 0, 1, 14
Suppose -5*a**2 + 360*a - 3600 = 0. Calculate a.
12, 60
Suppose -4*x**4 - 2104*x**3 - 365328*x**2 - 20301192*x + 110904660 = 0. What is x?
-177, 5
Factor 2*m**4/7 + 12*m**3/7 + 8*m**2/7 - 12*m/7 - 10/7.
2*(m - 1)*(m + 1)**2*(m + 5)/7
Solve -720*z**5 + 1560*z**4 + 1915*z**3 - 350*z**2 + 15*z = 0 for z.
-1, 0, 1/12, 3
Determine w so that 3*w**3 + 228*w**2 + 873*w + 648 = 0.
-72, -3, -1
Suppose a**5/3 - 92*a**4/3 + 355*a**3/3 - 260*a**2/3 - 356*a/3 + 352/3 = 0. Calculate a.
-1, 1, 2, 88
Factor 2*w**3/3 - 340*w**2/9 - 472*w/9 + 464/9.
2*(w - 58)*(w + 2)*(3*w - 2)/9
Determine g so that -14*g**5/5 + 109*g**4/5 - 254*g**3/5 + 148*g**2/5 + 88*g/5 - 32/5 = 0.
-1/2, 2/7, 2, 4
Solve f**2/3 + 86*f + 5547 = 0 for f.
-129
Find j such that 2*j**5 + 5*j**4 - 13*j**3 - j**2 + 11*j - 4 = 0.
-4, -1, 1/2, 1
Solve -5*w**2 + 65*w - 110 = 0 for w.
2, 11
Find q such that q**2/4 + 38*q - 153/4 = 0.
-153, 1
Factor -2*q**4 - 34*q**3 + 38*q**2 + 34*q - 36.
-2*(q - 1)**2*(q + 1)*(q + 18)
Solve 2*a**2/19 - 2132*a/19 + 568178/19 = 0.
533
Factor 2*w**4/5 + 8*w**3 + 296*w**2/5 + 192*w + 1152/5.
2*(w + 4)**2*(w + 6)**2/5
Factor -6*x**3 + 1942*x**2 + 652*x - 1296.
-2*(x - 324)*(x + 1)*(3*x - 2)
Factor -2*s**4/3 + 4*s**3/3 - 4*s/3 + 2/3.
-2*(s - 1)**3*(s + 1)/3
Factor -2*j**3/9 - 8*j**2/9 + 56*j/3 - 32.
-2*(j - 6)*(j - 2)*(j + 12)/9
What is x in -4*x**3 - 30*x**2 - 66*x - 40 = 0?
-4, -5/2, -1
Determine k so that -k**3 + k = 0.
-1, 0, 1
Factor -l**4/2 + 3*l**3/2 + 5*l**2/2 - 3*l/2 - 2.
-(l - 4)*(l - 1)*(l + 1)**2/2
Suppose -16*b**3 + 852*b**2 + 9868*b - 2520 = 0. What is b?
-10, 1/4, 63
Factor 5*i**2 - 830*i + 34445.
5*(i - 83)**2
Determine k so that -4*k**5/7 - 20*k**4/7 - 4*k**3/7 + 12*k**2 + 72*k/7 = 0.
-3, -1, 0, 2
Find x, given that x**4/3 - 67*x**3/3 + 1088*x**2/3 + 1156*x/3 = 0.
-1, 0, 34
Factor o**4/4 - 13*o**3/4.
o**3*(o - 13)/4
Suppose -4*p**2 - 40*p - 84 = 0. What is p?
-7, -3
Factor h**5/4 + 773*h**4/4 - 3115*h**3/2 + 7029*h**2/2 - 27*h/4 - 21087/4.
(h - 3)**3*(h + 1)*(h + 781)/4
Determine w so that 11232*w**5/7 - 9936*w**4/7 - 1314*w**3/7 + 236*w**2 + 232*w/7 - 16/7 = 0.
-1/4, 2/39, 2/3
Determine f, given that 2*f**2 - 876*f + 95922 = 0.
219
Factor x**2 - 34*x - 240.
(x - 40)*(x + 6)
Solve -m**3 - 2*m**2 + 36*m + 72 = 0 for m.
-6, -2, 6
Factor -3*g**5 - 234*g**4 + 2268*g**3 - 6966*g**2 + 7047*g.
-3*g*(g - 3)**3*(g + 87)
Find l, given that -l**5/6 + 16*l**4/3 + l**3/3 - 32*l**2/3 - l/6 + 16/3 = 0.
-1, 1, 32
Factor -w**3 - 144*w**2 - 6912*w - 110592.
-(w + 48)**3
Suppose k**5/2 + 17*k**4/2 + 55*k**3 + 167*k**2 + 465*k/2 + 225/2 = 0. What is k?
-5, -3, -1
Factor c**5/3 + 58*c**4/3 + 1177*c**3/3 + 3248*c**2 + 9408*c.
c*(c + 8)**2*(c + 21)**2/3
Solve -t**3/4 + 69*t**2/4 + 71*t/2 = 0 for t.
-2, 0, 71
Factor 5*a**4 - 40*a**3 - 5*a**2 + 40*a.
5*a*(a - 8)*(a - 1)*(a + 1)
Factor -2*d**3 - 1174*d**2 - 1172*d.
-2*d*(d + 1)*(d + 586)
Let -2*r**3 + 20*r**2 - 58*r + 40 = 0. What is r?
1, 4, 5
Factor 2*n**5 + 12*n**4 + 4*n**3 - 40*n**2 - 54*n - 20.
2*(n - 2)*(n + 1)**3*(n + 5)
Factor 8*h**2/9 - 2*h/3.
2*h*(4*h - 3)/9
Suppose g**5/6 + 13*g**4/6 + 31*g**3/3 + 67*g**2/3 + 43*g/2 + 15/2 = 0. Calculate g.
-5, -3, -1
Determine s so that 4*s**2/7 - 104*s/7 - 180 = 0.
-9, 35
Solve 2*c**2 + 420*c + 418 = 0 for c.
-209, -1
Suppose 3*h**3/7 + 8*h**2 + 36*h/7 = 0. Calculate h.
-18, -2/3, 0
Determine o, given that 2*o**4 + 61*o**3 + 29*o**2 - 30*o = 0.
-30, -1, 0, 1/2
Determine z, given that 4*z**5/3 - 4*z**4/3 - 124*z**3/3 - 284*z**2/3 - 56*z = 0.
-3, -2, -1, 0, 7
Factor -p**4/8 + 39*p**3/8 - 60*p**2 + 224*p.
-p*(p - 16)**2*(p - 7)/8
Determine j so that 20*j**4/3 + 3005*j**3/3 - 1770*j**2 + 1525*j/3 + 760/3 = 0.
-152, -1/4, 1
Factor -6*o**2 + 1316*o + 880.
-2*(o - 220)*(3*o + 2)
Factor -3*o**2 + 843*o - 6552.
-3*(o - 273)*(o - 8)
Factor 4*u**2 + 20*u + 24.
4*(u + 2)*(u + 3)
Find d such that d**5 - d**4 - 6*d**3 = 0.
-2, 0, 3
Factor 4*x**2 - 132*x.
4*x*(x - 33)
Determine m, given that -m**3/4 + 3*m**2 + 7*m = 0.
-2, 0, 14
Determine k so that -2*k**5 + 12*k**4 - 4*k**3 - 32*k**2 + 6*k + 20 = 0.
-1, 1, 2, 5
Factor 3*m**2/7 + 702*m/7.
3*m*(m + 234)/7
What is p in -p**4/6 + 7*p**3/6 + 2*p**2/3 - 14*p/3 = 0?
-2, 0, 2, 7
Factor 4*y**4 - 124*y**3 - 132*y**2 + 124*y + 128.
4*(y - 32)*(y - 1)*(y + 1)**2
Factor -l**2/4 + 170*l + 681/4.
-(l - 681)*(l + 1)/4
Determine c, given that -c**2 + 151*c - 730 = 0.
5, 146
Factor 2*u**4/7 - 5*u**3/7 - 2*u**2/7 + 11*u/7 - 6/7.
(u - 2)*(u - 1)**2*(2*u + 3)/7
Find j, given that 2*j**5 + 24*j**4 + 76*j**3 + 104*j**2 + 66*j + 16 = 0.
-8, -1
Factor z**4/4 + 13*z**3/2 + 42*z**2.
z**2*(z + 12)*(z + 14)/4
What is d in -d**4/7 - 2*d**3/7 + d**2/7 + 2*d/7 = 0?
-2, -1, 0, 1
Find y, given that -y**2/5 + 19*y/5 - 88/5 = 0.
8, 11
What is z in -5352992*z**2/9 + 6544*z/3 - 2 = 0?
3/1636
Factor 2*o**3/7 + 94*o**2/7 + 176*o + 2904/7.
2*(o + 3)*(o + 22)**2