*2 - 419*g = 0.
-1, 0, 419
Factor -r**2/2 - 1655*r/4 - 827/4.
-(r + 827)*(2*r + 1)/4
Determine j so that j**4 - j**3 - 6*j**2 + 4*j + 8 = 0.
-2, -1, 2
Find a such that -4*a**5/13 - 30*a**4/13 - 86*a**3/13 - 116*a**2/13 - 72*a/13 - 16/13 = 0.
-2, -1, -1/2
Let y**2/11 - 738*y/11 - 739/11 = 0. Calculate y.
-1, 739
Determine z, given that -4*z**4 - 87*z**3/2 + 219*z**2/2 - 13*z = 0.
-13, 0, 1/8, 2
Let 2*l**5/7 + 6*l**4/7 + 4*l**3/7 - 4*l**2/7 - 6*l/7 - 2/7 = 0. Calculate l.
-1, 1
Find z, given that -35*z**4 - 505*z**3 + 1455*z**2 - 1255*z + 340 = 0.
-17, 4/7, 1
Factor -10*f**2 + 106*f + 44.
-2*(f - 11)*(5*f + 2)
Solve x**2/5 + 179*x/5 + 178/5 = 0.
-178, -1
Suppose -i**3/6 - i**2/3 + 19*i/6 + 10/3 = 0. Calculate i.
-5, -1, 4
Factor -33*o**3 + 72*o**2 - 45*o + 6.
-3*(o - 1)**2*(11*o - 2)
Factor 3*u**5/5 + 282*u**4 + 161364*u**3/5 - 1019592*u**2/5.
3*u**2*(u - 6)*(u + 238)**2/5
Factor r**3/3 - 2*r**2/3 - 13*r/3 - 10/3.
(r - 5)*(r + 1)*(r + 2)/3
Solve -795*g**4/7 + 3177*g**3/7 - 3963*g**2/7 + 225*g + 6/7 = 0.
-1/265, 1, 2
Suppose -2*p**4 + 62*p**3 - 56*p**2 - 120*p = 0. What is p?
-1, 0, 2, 30
Suppose -3*a**4 - 3*a**3 + 57*a**2 - 33*a - 90 = 0. What is a?
-5, -1, 2, 3
Determine s, given that 3*s**2 - 288*s + 6912 = 0.
48
Suppose 9*j**5 - 88*j**4 + 169*j**3 + 78*j**2 - 244*j - 56 = 0. What is j?
-1, -2/9, 2, 7
Factor 2*q**4/15 - 2*q**3/5 + 2*q**2/5 - 2*q/15.
2*q*(q - 1)**3/15
What is t in -t**2/2 + 19*t/4 + 15 = 0?
-5/2, 12
Factor 2*p**2/17 - 282*p/17 - 864/17.
2*(p - 144)*(p + 3)/17
Let -4*g**3 - 384*g**2 - 11700*g - 115000 = 0. Calculate g.
-46, -25
Factor -v**4/6 - v**3/2 + 14*v**2/3.
-v**2*(v - 4)*(v + 7)/6
Factor p**2/2 - 113*p + 12769/2.
(p - 113)**2/2
Suppose -3*u**4 + 1101*u**3 - 1098*u**2 = 0. Calculate u.
0, 1, 366
Suppose -4*p**3 + 4*p**2 + 64*p + 80 = 0. Calculate p.
-2, 5
Factor -2*g**2/11 - 12*g/11.
-2*g*(g + 6)/11
Factor -17*y**3/5 + 33*y**2/5 - 3*y - 1/5.
-(y - 1)**2*(17*y + 1)/5
What is k in 14*k**5/5 + 38*k**4/5 - 12*k**3/5 - 56*k**2/5 + 16*k/5 = 0?
-2, 0, 2/7, 1
Factor 2048*q**3/7 - 103680*q**2/7 + 1749600*q/7 - 9841500/7.
4*(8*q - 135)**3/7
Let -2*g**5/9 - 52*g**4/9 - 76*g**3/3 - 392*g**2/9 - 298*g/9 - 28/3 = 0. Calculate g.
-21, -2, -1
Factor 2*d**4/5 - 4*d**3 + 66*d**2/5 - 72*d/5.
2*d*(d - 4)*(d - 3)**2/5
Factor 3*w**5 - 3*w**4 - 3*w**3 + 3*w**2.
3*w**2*(w - 1)**2*(w + 1)
Factor 16*y**4 - 96*y**3 + 180*y**2 - 116*y + 24.
4*(y - 3)*(y - 2)*(2*y - 1)**2
Solve 4*k**3/3 - 32*k**2/3 - 16*k/3 + 128/3 = 0.
-2, 2, 8
Determine v, given that v**5/4 + 37*v**4/4 - 81*v**3/4 - 117*v**2/4 = 0.
-39, -1, 0, 3
Solve 4*j**5 - 184*j**4 - 384*j**3 - 8*j**2 + 380*j + 192 = 0.
-1, 1, 48
Solve -5*d**5/4 - 37*d**4/4 + 13*d**3/2 + 4*d**2 = 0 for d.
-8, -2/5, 0, 1
Factor -n**3 - 699*n**2 - 162867*n - 12649337.
-(n + 233)**3
What is r in -2*r**2/5 - 56*r/5 - 374/5 = 0?
-17, -11
Factor -u**3/3 + u**2/3 + u/3 - 1/3.
-(u - 1)**2*(u + 1)/3
Let 8*v**4/13 + 846*v**3/13 - 212*v**2/13 = 0. Calculate v.
-106, 0, 1/4
Factor 4*f**2/5 + 48*f/5 + 16.
4*(f + 2)*(f + 10)/5
What is w in -2*w**5 + 20*w**4 - 10*w**3 - 80*w**2 + 72*w = 0?
-2, 0, 1, 2, 9
Let -4*d**4/7 - 68*d**3/7 - 176*d**2/7 - 16*d = 0. Calculate d.
-14, -2, -1, 0
Factor -2*u**2/3 - 104*u/3 - 1352/3.
-2*(u + 26)**2/3
Determine o so that -3*o**4 - 6*o**3 + 48*o**2 + 96*o = 0.
-4, -2, 0, 4
Find n such that 3*n**2 + 1926*n + 1923 = 0.
-641, -1
Solve 3*i**2/8 + 357*i/8 = 0 for i.
-119, 0
Solve 2*i**5/3 + 4*i**4 - 14*i**3/3 = 0.
-7, 0, 1
Suppose 2*s**4/9 - 2*s**3/3 - 2*s**2/9 + 2*s/3 = 0. Calculate s.
-1, 0, 1, 3
Factor 2*c**4 - 2*c**3 - 6*c**2 + 10*c - 4.
2*(c - 1)**3*(c + 2)
Factor 18*o**2 - 190*o - 208.
2*(o + 1)*(9*o - 104)
Determine p, given that p**4/3 + 4*p**3/3 - p**2/3 - 4*p/3 = 0.
-4, -1, 0, 1
Factor 142*p**3/9 - 268*p**2/9 - 32*p/9.
2*p*(p - 2)*(71*p + 8)/9
Let 2*f**5 - 8*f**3 = 0. What is f?
-2, 0, 2
Determine h, given that -h**3 + 25*h**2 - 187*h + 363 = 0.
3, 11
Solve 3*r**2 - 7200*r + 4320000 = 0 for r.
1200
Let 3*s**3 - 228*s**2 - 2076*s + 5040 = 0. What is s?
-10, 2, 84
Factor 10*n**3 - 1135*n**2 + 11785*n - 5610.
5*(n - 102)*(n - 11)*(2*n - 1)
Factor z**3/9 + 58*z**2/9 - 41*z/3 - 20.
(z - 3)*(z + 1)*(z + 60)/9
Factor 12*u**2 + 117*u - 30.
3*(u + 10)*(4*u - 1)
Factor 3*z**2/7 - 300*z/7 - 303/7.
3*(z - 101)*(z + 1)/7
Suppose 2*p**2/9 - 56*p/9 - 62/3 = 0. What is p?
-3, 31
Factor -2*v**4 - 100*v**3 - 1008*v**2 - 3776*v - 4864.
-2*(v + 4)**3*(v + 38)
What is n in 3*n**3/2 - 1842*n**2 - 3693*n/2 + 3687 = 0?
-2, 1, 1229
Find s such that 5*s**2 - 1010*s + 2000 = 0.
2, 200
Solve 4*j**3/9 - 16*j**2/9 = 0.
0, 4
Let -2*z**3/9 + 161*z**2/9 + 1901*z/9 + 910/9 = 0. Calculate z.
-10, -1/2, 91
Find o, given that 4*o**2 - 444*o - 2808 = 0.
-6, 117
Solve 2*t**3/11 + 48*t**2/11 = 0.
-24, 0
Factor -x**4/4 - x**3 + 4*x + 4.
-(x - 2)*(x + 2)**3/4
Solve 4*b**3/5 - 44*b**2 + 700*b - 2500 = 0 for b.
5, 25
Find q, given that 5*q**5 - 90*q**4 + 275*q**3 + 90*q**2 - 280*q = 0.
-1, 0, 1, 4, 14
Factor -10*w**5 + 2*w**4 + 42*w**3/5 - 18*w**2/5.
-2*w**2*(w + 1)*(5*w - 3)**2/5
Suppose 2*p**5/11 + 2*p**4 + 68*p**3/11 + 28*p**2/11 - 70*p/11 - 50/11 = 0. Calculate p.
-5, -1, 1
Determine d so that 5*d**5 - 30*d**3 + 40*d**2 - 15*d = 0.
-3, 0, 1
Factor 45*x**4 - 1225*x**3 - 2340*x**2 + 580*x.
5*x*(x - 29)*(x + 2)*(9*x - 2)
Factor 5*c**2 + 360*c - 365.
5*(c - 1)*(c + 73)
Factor -10976*w**4 - 1205008*w**3 + 258552*w**2 - 18476*w + 440.
-4*(w + 110)*(14*w - 1)**3
Factor 2*f**4 + 98*f**3 + 1404*f**2 + 1944*f - 58320.
2*(f - 5)*(f + 18)**3
Factor -5*g**4 + 5*g**3 + 25*g**2 + 15*g.
-5*g*(g - 3)*(g + 1)**2
Factor m**4/2 + 34*m**3 + 541*m**2 - 1330*m - 3675/2.
(m - 3)*(m + 1)*(m + 35)**2/2
Find n such that -3*n**4/4 - 213*n**3/4 - 2943*n**2/4 + 30537*n/4 - 13689/2 = 0.
-39, 1, 6
Factor d**5 + 6*d**4 + 3*d**3 - 10*d**2.
d**2*(d - 1)*(d + 2)*(d + 5)
Solve i**3/3 + 5*i**2/3 - 2*i = 0 for i.
-6, 0, 1
Factor w**3 - 103*w**2 + 2528*w - 18176.
(w - 71)*(w - 16)**2
Determine q so that 4*q**3 - 1140*q**2 + 81792*q - 80656 = 0.
1, 142
Find o, given that 4*o**4 - 140*o**3 + 1032*o**2 - 2560*o + 1664 = 0.
1, 4, 26
Factor f**3/6 + 35*f**2/3 + 1225*f/6.
f*(f + 35)**2/6
Factor -4*x**3 - 468*x**2 - 456*x + 928.
-4*(x - 1)*(x + 2)*(x + 116)
Find z, given that -z**2/2 + 135*z - 269/2 = 0.
1, 269
Solve -2*m**4/9 - 82*m**3/9 + 686*m**2/3 - 3862*m/9 + 1888/9 = 0.
-59, 1, 16
Suppose -4*g**3 + 23*g**2 + 51*g - 162 = 0. Calculate g.
-3, 2, 27/4
Let 5*y**2/3 - 15*y - 260/3 = 0. Calculate y.
-4, 13
Factor 21*m**3 - 60*m**2 - 33*m + 72.
3*(m - 3)*(m - 1)*(7*m + 8)
Determine x so that -5*x**3 + 150*x**2 + 855*x + 700 = 0.
-4, -1, 35
Determine p so that -27*p**2 - 4338*p - 174243 = 0.
-241/3
Solve -9*n**5 + 33*n**4 + 90*n**3 - 540*n**2 + 744*n - 288 = 0.
-4, 2/3, 2, 3
Find a, given that 3*a**5 + 15*a**4 - 51*a**3 - 375*a**2 - 552*a - 240 = 0.
-4, -1, 5
Let -5*t**2 + 9850*t - 4851125 = 0. Calculate t.
985
Solve 2*x**2/7 - 92*x/7 + 1058/7 = 0 for x.
23
Factor 648*d**3 + 8388*d**2 - 935*d/2 + 13/2.
(d + 13)*(36*d - 1)**2/2
Find s such that -4*s**2 - 112*s + 372 = 0.
-31, 3
Factor 4*c**2/7 - 1228*c/7 - 176.
4*(c - 308)*(c + 1)/7
Suppose 6*n**4 + 188*n**3 + 680*n**2 - 604*n - 270 = 0. What is n?
-27, -5, -1/3, 1
Factor 7*d**4 - 180*d**3 - 2397*d**2 - 6970*d - 1800.
(d - 36)*(d + 5)**2*(7*d + 2)
Factor -3*i**4 + 3*i**3 + 15*i**2 + 9*i.
-3*i*(i - 3)*(i + 1)**2
Suppose 2*h**2/5 - 4*h/5 - 14 = 0. What is h?
-5, 7
Factor i**3/3 - 14*i**2/3 - 5*i.
i*(i - 15)*(i + 1)/3
Factor -a**4/3 - 5*a**3/3 + 2*a**2.
-a**2*(a - 1)*(a + 6)/3
Let -v**2/6 - 37*v/6 + 19/3 = 0. What is v?
-38, 1
What is p in p**5 - 26*p**4 - 85*p**3 - 58*p**2 = 0?
-2, -1, 0, 29
Factor -2*u**4 - 14*u**3 + 34*u**2 - 18*u.
-2*u*(u - 1)**2*(u + 9)
What is q in 15*q**3 - 80*q**2 - 2225*q + 750 = 0?
-10, 1/3, 15
Determine l, given that -58*l**3/5 - 47*l**2 - 244*l/5 - 12/5 = 0.
-2, -3/58
Find u, given that 3*u**3 + 44*u**2 - 64*u = 0.
-16, 0, 4/3
Find s, given that s**5 + 13*s**4 + 54*s**3 + 94*s**2 + 73*s + 21 = 0.
-7, -3, -1
Factor 5*t**2 + 2*t/3.
t*(15*t + 2)/3
Factor -k**3/6 - k**2/3.
-k**2*(k + 2)/6
Suppose 2*p**3/3 - 32*p**2/3 + 82*p/3 - 52/3 = 0. What is p?
1, 2, 13
Factor 7*r**2/3 - 213*r + 182/3.
(r - 91)*(7*r - 2)/3
Factor -375*r**4/7 - 59925*r**3/7 + 72270*r**2/7 - 28956*r/7 + 552.
-3*(r + 161)*(5*r - 2)**