-8, -1, 6
Solve d**4/3 - 43*d**3 + 1849*d**2 - 79507*d/3 = 0.
0, 43
Factor 3*m**4 + 30*m**3 + 51*m**2 + 24*m.
3*m*(m + 1)**2*(m + 8)
Solve -5*k**5 + 5*k**4 + 55*k**3 + 35*k**2 - 50*k - 40 = 0.
-2, -1, 1, 4
Suppose 3*x**5 - 39*x**4/2 + 33*x**3/2 + 69*x**2/2 - 39*x/2 - 15 = 0. Calculate x.
-1, -1/2, 1, 2, 5
Factor -7*g**2 + 820*g + 708.
-(g - 118)*(7*g + 6)
Factor 5*z**3 + 125*z**2 - 130*z.
5*z*(z - 1)*(z + 26)
Suppose -2*u**4 + 27*u**3 + 81*u**2 - 10*u - 96 = 0. Calculate u.
-2, -3/2, 1, 16
Factor h**3 + 6*h**2 + 3*h - 10.
(h - 1)*(h + 2)*(h + 5)
Suppose 3*j**4 + 87*j**3 + 369*j**2 - 1011*j + 552 = 0. Calculate j.
-23, -8, 1
Suppose c**3/3 - 22036*c**2/9 + 40458095*c/9 + 26981858/9 = 0. Calculate c.
-2/3, 3673
What is h in -h**5/5 - 13*h**4/5 - 56*h**3/5 - 16*h**2 = 0?
-5, -4, 0
Factor r**5/4 - 11*r**3/4 + 9*r**2/2 - 2*r.
r*(r - 2)*(r - 1)**2*(r + 4)/4
Factor v**4/5 + 2*v**3/5 - 3*v**2/5.
v**2*(v - 1)*(v + 3)/5
Factor 4*c**4 + 8*c**3 - 160*c**2 - 200*c + 1500.
4*(c - 5)*(c - 3)*(c + 5)**2
Factor 5*v**3 - 30*v**2 + 40*v.
5*v*(v - 4)*(v - 2)
Factor 8*q**4/7 - 46*q**3/7 + 12*q**2 - 40*q/7 - 16/7.
2*(q - 2)**3*(4*q + 1)/7
Factor -5*z**4 - 45*z**3 - 120*z**2 - 80*z.
-5*z*(z + 1)*(z + 4)**2
Find w, given that -4*w**4 - 8122*w**3 - 4116834*w**2 + 6189472*w - 2064512 = 0.
-1016, 1/2, 1
Let 4*m**3/3 - 205*m**2/3 - 157*m/3 + 52/3 = 0. What is m?
-1, 1/4, 52
Factor 2*t**2/5 - 2*t/5.
2*t*(t - 1)/5
Factor -d**2/4 - 2423*d - 5870929.
-(d + 4846)**2/4
Factor -2*a**3/9 - 34*a**2/9 + 74*a/9 - 38/9.
-2*(a - 1)**2*(a + 19)/9
Determine j so that -5*j**5 + 55*j**4 - 110*j**3 - 390*j**2 + 1395*j - 945 = 0.
-3, 1, 3, 7
Let -10*w**4 - 16*w**3 + 10*w**2 + 16*w = 0. What is w?
-8/5, -1, 0, 1
What is u in u**4/4 + 1043*u**3/2 + 1083669*u**2/4 - 1089935*u + 1092025 = 0?
-1045, 2
Factor n**2/7 - 2412*n/7 - 2413/7.
(n - 2413)*(n + 1)/7
Find g, given that g**3 + 21*g**2/4 - 19*g/4 - 3/2 = 0.
-6, -1/4, 1
Factor 18*t**2 + 22*t + 4.
2*(t + 1)*(9*t + 2)
Factor 2*o**3 + 8814*o**2 + 17622*o + 8810.
2*(o + 1)**2*(o + 4405)
Factor -4*a**3 - 820*a**2 - 28768*a + 1453248.
-4*(a - 27)*(a + 116)**2
Factor -2*t**4 - 14*t**3 + 98*t**2 + 110*t.
-2*t*(t - 5)*(t + 1)*(t + 11)
Find u, given that 38*u**3 + 226*u**2 - 278*u + 14 = 0.
-7, 1/19, 1
Factor g**3 - 79*g**2 + 155*g - 77.
(g - 77)*(g - 1)**2
Solve -5*a**3 + 75*a**2 - 360*a + 560 = 0 for a.
4, 7
Suppose 2*j**5 + 26*j**4 + 96*j**3 + 72*j**2 = 0. What is j?
-6, -1, 0
Let 2*x**3 + x**2 - 3*x = 0. Calculate x.
-3/2, 0, 1
Factor 5*m**4 + 10*m**3 - 60*m**2 - 90*m + 135.
5*(m - 3)*(m - 1)*(m + 3)**2
Factor -t**5 - 32*t**4 - 161*t**3 - 130*t**2.
-t**2*(t + 1)*(t + 5)*(t + 26)
Factor -356*a**2 - 710*a + 4.
-2*(a + 2)*(178*a - 1)
Find c such that -2*c**2/7 - 440*c/7 - 438/7 = 0.
-219, -1
Factor -2*c**2/7 - 456*c/7 + 920/7.
-2*(c - 2)*(c + 230)/7
Factor -2*g**2/7 - 62*g/7 - 60/7.
-2*(g + 1)*(g + 30)/7
Solve -3*g**3/4 + 81*g**2/4 - 72*g + 69 = 0.
2, 23
What is o in 3*o**3/7 - 6*o**2/7 - 24*o/7 = 0?
-2, 0, 4
Suppose -3*f**5 - 177*f**4 + 1995*f**3 - 5175*f**2 = 0. Calculate f.
-69, 0, 5
Factor -2*l**2 + 204*l + 416.
-2*(l - 104)*(l + 2)
Let l**4/3 - 808*l**3/3 + 162406*l**2/3 + 109080*l + 54675 = 0. Calculate l.
-1, 405
Factor -3*g**3 + 150*g**2 + 663*g - 810.
-3*(g - 54)*(g - 1)*(g + 5)
Factor -2*m**4 + 6*m**3 - 4*m**2.
-2*m**2*(m - 2)*(m - 1)
Find x, given that x**2/3 + 125*x/3 + 82 = 0.
-123, -2
Find f such that 2*f**3/3 - 2*f**2 = 0.
0, 3
Factor -5*x**2 - 1420*x - 100820.
-5*(x + 142)**2
Factor s**2/2 - 49*s/2 + 24.
(s - 48)*(s - 1)/2
Determine z, given that 2*z**5 - 48*z**4 + 304*z**3 - 832*z**2 + 1056*z - 512 = 0.
2, 16
What is t in 7*t**3/5 - 18*t**2/5 - 13*t/5 + 12/5 = 0?
-1, 4/7, 3
Factor -5*f**3/2 + 185*f**2 - 2005*f/2 - 1190.
-5*(f - 68)*(f - 7)*(f + 1)/2
Let -2*k**5 + 8*k**4 - 20*k**2 + 2*k + 12 = 0. What is k?
-1, 1, 2, 3
Suppose -2*r**4/7 - 34*r**3 = 0. What is r?
-119, 0
Suppose 5*u**4/2 - 109*u**3 + 2329*u**2/2 + 550*u - 726 = 0. What is u?
-1, 3/5, 22
Factor 3*r**5 - 33*r**4 + 57*r**3 - 27*r**2.
3*r**2*(r - 9)*(r - 1)**2
Factor -i**2/5 + 374*i/5.
-i*(i - 374)/5
Factor -14*r**3 + 374*r**2 + 4644*r + 1296.
-2*(r - 36)*(r + 9)*(7*r + 2)
Factor 2*q**4 + 10*q**3 - 16*q**2 - 24*q.
2*q*(q - 2)*(q + 1)*(q + 6)
Factor -i**2/2 - 15*i/2 + 8.
-(i - 1)*(i + 16)/2
Determine f so that -3*f**5 - 189*f**4/2 - 1065*f**3/2 - 1167*f**2 - 1062*f - 300 = 0.
-25, -2, -1/2
Factor 4*f**3 - 76*f**2 + 336*f.
4*f*(f - 12)*(f - 7)
Factor 3*b**2 + 84*b.
3*b*(b + 28)
Solve 44*s**3 - 492*s**2 + 88*s = 0.
0, 2/11, 11
Let 2*k**4/11 - 4*k**3/11 - 10*k**2/11 + 12*k/11 = 0. What is k?
-2, 0, 1, 3
Factor 3*u**4 - 18*u**3 - 24*u**2 + 18*u + 21.
3*(u - 7)*(u - 1)*(u + 1)**2
Factor 16*m**4 + 296*m**3 - 151*m**2 + 19*m.
m*(m + 19)*(4*m - 1)**2
Suppose -12*d**2 + 87*d + 72 = 0. What is d?
-3/4, 8
Find i such that -3*i**3/5 + 9*i**2/5 + 54*i/5 - 24 = 0.
-4, 2, 5
Factor -3*n**3/4 + 33*n**2/2 + 45*n/4 - 1350.
-3*(n - 15)**2*(n + 8)/4
Factor 2*n**2/13 + 34*n/13 + 32/13.
2*(n + 1)*(n + 16)/13
Factor -2*v**3 + 94*v**2 - 790*v + 1850.
-2*(v - 37)*(v - 5)**2
Find x, given that 11869441812*x**3 - 24779628*x**2 + 17244*x - 4 = 0.
1/1437
Factor f**2 - 6*f - 16.
(f - 8)*(f + 2)
Suppose 3*v**2 - 3*v = 0. Calculate v.
0, 1
Let 6*s**3/5 - 447*s**2/5 + 8436*s/5 - 4107/5 = 0. Calculate s.
1/2, 37
Suppose -2*d**2 + 128*d - 248 = 0. Calculate d.
2, 62
Factor -r**4/2 + 40*r**3 - 839*r**2 + 1560*r - 1521/2.
-(r - 39)**2*(r - 1)**2/2
Factor -845*p**3 - 11895*p**2 + 11520*p - 2700.
-5*(p + 15)*(13*p - 6)**2
Factor 2*k**3 - 252*k**2 - 512*k.
2*k*(k - 128)*(k + 2)
Factor 3*l**3 + 84*l**2 + 159*l + 78.
3*(l + 1)**2*(l + 26)
Determine b so that -2*b**5 - 50*b**4 - 302*b**3 - 494*b**2 + 304*b + 544 = 0.
-17, -4, -1, 1
Solve 3*t**5/7 - 9*t**4 + 393*t**3/7 - 477*t**2/7 - 1620*t/7 + 2916/7 = 0.
-2, 2, 3, 9
Let -7*q**5/6 + 39*q**4/2 + 1567*q**3/6 + 3119*q**2/6 + 340*q + 182/3 = 0. What is q?
-7, -1, -2/7, 26
Let z**2/5 - 352*z/5 - 1424/5 = 0. Calculate z.
-4, 356
Solve -f**3 - 73*f**2 - 1216*f + 4332 = 0.
-38, 3
Factor 2*q**3 + 6210*q**2 + 6427350*q + 2217435750.
2*(q + 1035)**3
Let b**5 - 43*b**4 - 465*b**3 + 3007*b**2 - 5152*b + 2652 = 0. Calculate b.
-13, 1, 2, 51
Suppose 3*t**4 - 153*t**3 - 315*t**2 - 159*t = 0. Calculate t.
-1, 0, 53
Suppose 56*w**5 - 145*w**4 + 45*w**3 + 40*w**2 + 4*w = 0. What is w?
-2/7, -1/8, 0, 1, 2
Let -3*a**3 + 15*a**2 - 24*a + 12 = 0. Calculate a.
1, 2
Factor 3*k**5/2 + 15*k**4/2 - 39*k**3/2 + 21*k**2/2.
3*k**2*(k - 1)**2*(k + 7)/2
Solve -2*d**3/7 - 206*d**2/7 + 2*d/7 + 206/7 = 0 for d.
-103, -1, 1
Factor 2*q**4 - 2*q**3 - 2*q**2 + 2*q.
2*q*(q - 1)**2*(q + 1)
Factor 2*j**4/3 - 26*j**3/3 + 68*j**2/3 + 32*j.
2*j*(j - 8)*(j - 6)*(j + 1)/3
What is d in -2*d**2/7 - 246*d/7 = 0?
-123, 0
Factor w**4/2 + 5*w**3/2 + 3*w**2.
w**2*(w + 2)*(w + 3)/2
Factor c**4/3 - 77*c**3/3 - 435*c**2 - 6775*c/3 - 11500/3.
(c - 92)*(c + 5)**3/3
Suppose -b**2/2 + 544*b - 147968 = 0. Calculate b.
544
Factor 3*r**3 + 73*r**2 + 292*r - 228.
(r + 6)*(r + 19)*(3*r - 2)
Factor 2*q**2 + 618*q + 616.
2*(q + 1)*(q + 308)
Solve 9*d**4/7 + 13002*d**3/7 - 17355*d**2/7 - 4332*d/7 + 8676/7 = 0 for d.
-1446, -2/3, 1
What is s in -5*s**4 + 20*s**3 + 55*s**2 + 30*s = 0?
-1, 0, 6
Suppose -2*y**4/3 + 12*y**3 - 122*y**2/3 + 48*y - 56/3 = 0. Calculate y.
1, 2, 14
Factor -2*u**3 + 12*u**2 + 2*u - 12.
-2*(u - 6)*(u - 1)*(u + 1)
What is s in s**2/5 + 2*s - 11/5 = 0?
-11, 1
Factor -2*v**4/5 + 142*v**3/5 - 690*v**2 + 30682*v/5 - 48668/5.
-2*(v - 23)**3*(v - 2)/5
Let -10*h**5 - 215*h**4 - 1550*h**3 - 4375*h**2 - 3750*h = 0. Calculate h.
-10, -5, -3/2, 0
Solve -2*i**3/3 + 84*i**2 - 250*i/3 = 0 for i.
0, 1, 125
Factor 2*s**5 + 122*s**4 + 468*s**3 + 692*s**2 + 458*s + 114.
2*(s + 1)**4*(s + 57)
Factor -55*w**3 + 230*w**2 - 205*w + 30.
-5*(w - 3)*(w - 1)*(11*w - 2)
Solve f**5/4 + 3*f**4/4 - 3*f**3/2 - 2*f**2 = 0.
-4, -1, 0, 2
Factor -3*z**3 + 93*z**2 + 2760*z + 15300.
-3*(z - 51)*(z + 10)**2
Determine n, given that -25*n**4 - 1215*n**3 - 12510*n**2 + 55900*n - 20280 = 0.
-26, 2/5, 3
Factor s**2 + 15*s + 26.
(s + 2)*(s + 13)
Factor 2*f**2 - 5156*f + 10304.
2*(f - 2576)*(f - 2)
Factor -7*t**2/4 - 17*t/4 + 3.
-(t + 3)*(7*t - 4)/4
Factor 2*f**3 + 188*f**2 - 190*f.
2*f*(f - 1)*(f + 95)
Factor 3*q**3 + 627*q**2 - 3843*q + 5805.
3*(q - 3)