66*t**4 - 214*t**3 - 340*t**2 - 264*t - 80 = 0. Calculate t.
-2, -5/4, -1
Solve h**4/6 + h**3/6 - h**2/3 = 0 for h.
-2, 0, 1
Factor -3*o**4 - 111*o**3 - 1134*o**2 + 588*o + 41160.
-3*(o - 5)*(o + 14)**3
Solve -2*b**2/13 - 11616*b/13 - 16866432/13 = 0 for b.
-2904
Factor 4*f**3 - 1024*f**2 + 4032*f.
4*f*(f - 252)*(f - 4)
Factor -v**3/2 + 5*v**2/2 + 2*v - 10.
-(v - 5)*(v - 2)*(v + 2)/2
Let -2*y**2/7 - 28*y + 1248/7 = 0. Calculate y.
-104, 6
Solve 2*f**2/7 + 20*f/7 + 18/7 = 0 for f.
-9, -1
Factor 4*q**4 - 40*q**3 + 144*q**2 - 224*q + 128.
4*(q - 4)*(q - 2)**3
Factor 3*f**4 - 39*f**3 + 99*f**2 + 231*f - 294.
3*(f - 7)**2*(f - 1)*(f + 2)
Factor -p**2/5 + 16*p/5 + 161/5.
-(p - 23)*(p + 7)/5
Let 3*h**2 + 708*h = 0. What is h?
-236, 0
Factor 5*f**3 - 45*f**2 + 120*f - 80.
5*(f - 4)**2*(f - 1)
Factor 5*n**5 - 10*n**4 - 40*n**3 + 80*n**2 + 80*n - 160.
5*(n - 2)**3*(n + 2)**2
Factor 2*f**4 - 16*f**3 + 22*f**2 + 40*f.
2*f*(f - 5)*(f - 4)*(f + 1)
Suppose q**4/5 - 12*q**3/5 + 28*q**2/5 + 48*q/5 - 128/5 = 0. Calculate q.
-2, 2, 4, 8
Factor 9*x**3/4 + 453*x**2/4 - 153*x/2.
3*x*(x + 51)*(3*x - 2)/4
What is i in -2*i**2 - 12008*i - 18024008 = 0?
-3002
Let 4*s**3 - 264*s**2 + 5808*s - 42592 = 0. Calculate s.
22
Factor -2*j**2 + 16684*j - 34794482.
-2*(j - 4171)**2
Determine t, given that -3*t**5 + 36*t**4 + 258*t**3 - 36*t**2 - 255*t = 0.
-5, -1, 0, 1, 17
Find k, given that 4*k**4/3 + 76*k**3/3 + 44*k**2 - 76*k/3 - 136/3 = 0.
-17, -2, -1, 1
Factor 2*g**3 - 292*g**2 - 1192*g - 1200.
2*(g - 150)*(g + 2)**2
Factor 2*t**4/3 + 22*t**3/3 + 4*t**2 - 96*t.
2*t*(t - 3)*(t + 6)*(t + 8)/3
Solve -x**4/4 - 245*x**3/4 + 62*x**2 + 123*x = 0.
-246, -1, 0, 2
Let -2*q**4/9 - 4*q**3/9 - 2*q**2/9 = 0. Calculate q.
-1, 0
Factor -21*c**2/2 + 4479*c/2 - 639.
-3*(c - 213)*(7*c - 2)/2
Factor -2*i**3/7 - 58*i**2/7 - 52*i/7 + 16.
-2*(i - 1)*(i + 2)*(i + 28)/7
Factor -25*y**2 + 1285*y + 4080.
-5*(y + 3)*(5*y - 272)
Determine l, given that -l**3/6 + l**2/6 + 2*l/3 - 2/3 = 0.
-2, 1, 2
Factor -4*o**3 - 8*o**2 + 76*o + 80.
-4*(o - 4)*(o + 1)*(o + 5)
Factor 20*f**3/3 + 46*f**2 - 14*f/3.
2*f*(f + 7)*(10*f - 1)/3
Factor -5*z**2 - 120*z.
-5*z*(z + 24)
Suppose a**4 - 28*a**3 + 260*a**2 - 800*a = 0. Calculate a.
0, 8, 10
Determine w, given that -w**3 + 6*w**2 + 7*w = 0.
-1, 0, 7
Suppose -b**5 - 15*b**4 - 58*b**3 - 30*b**2 + 59*b + 45 = 0. Calculate b.
-9, -5, -1, 1
Let -c**5/4 + 7*c**4/4 - 15*c**3/4 + 5*c**2/4 + 4*c - 3 = 0. What is c?
-1, 1, 2, 3
Suppose -3*t**3 + 8592*t**2 - 6151872*t = 0. What is t?
0, 1432
Solve -3*o**4/2 + 54*o**3 + 159*o**2/2 - 918*o + 1110 = 0.
-5, 2, 37
Factor 80*w**2 + 645*w - 1610.
5*(w - 2)*(16*w + 161)
Determine w, given that w**2/5 - 8762*w/5 + 19193161/5 = 0.
4381
Determine o so that 3*o**2/2 + 9*o - 21/2 = 0.
-7, 1
Factor 3*t**2 - 69*t + 180.
3*(t - 20)*(t - 3)
Suppose 5*i**3/2 - 295*i**2/2 + 2380*i - 5880 = 0. Calculate i.
3, 28
Determine z, given that 5*z**2 + 60*z + 100 = 0.
-10, -2
Factor 2*x**3/9 - 16*x**2/9 + 26*x/9 - 4/3.
2*(x - 6)*(x - 1)**2/9
Find r such that 56*r**4/5 + 534*r**3/5 + 722*r**2/5 + 276*r/5 + 32/5 = 0.
-8, -1, -2/7, -1/4
Solve 44*d**3 - 5096*d**2 + 147088*d + 26912 = 0 for d.
-2/11, 58
Determine q so that -q**2/2 - 103*q - 10609/2 = 0.
-103
Solve 34*s**2/3 - 1186*s/3 - 140/3 = 0 for s.
-2/17, 35
Factor -22*m**2/7 - 109*m/7 + 5/7.
-(m + 5)*(22*m - 1)/7
Solve -6*x**5 - 8*x**4 + 134*x**3 + 288*x**2 - 8*x - 160 = 0 for x.
-4, -2, -1, 2/3, 5
Suppose d**2/6 - 7*d/2 - 27 = 0. What is d?
-6, 27
Solve n**3 - 12*n**2 + 48*n - 64 = 0.
4
Find a, given that -4*a**2 - 200*a + 204 = 0.
-51, 1
What is j in 28*j**4 - 72*j**3 - 148*j**2 + 288*j + 144 = 0?
-2, -3/7, 2, 3
Suppose -80*b**4 - 280*b**3 - 285*b**2 - 95*b - 10 = 0. Calculate b.
-2, -1, -1/4
Let 4*n**3/7 + 172*n**2/7 - 200*n = 0. What is n?
-50, 0, 7
Find j such that -2*j**3/9 + 76*j**2/3 - 696*j - 13456/9 = 0.
-2, 58
What is l in -76*l**4 + 1132*l**3 - 4668*l**2 + 5652*l + 648 = 0?
-2/19, 3, 9
Suppose 2*t**2/7 + 1558*t/7 + 444 = 0. What is t?
-777, -2
Suppose -3*c**5 - 27*c**4 - 75*c**3 - 45*c**2 + 78*c + 72 = 0. What is c?
-4, -3, -2, -1, 1
Factor 4*r**3 + 144*r**2 + 1292*r.
4*r*(r + 17)*(r + 19)
Find i such that -3*i**4/2 + 15*i**3 - 75*i**2/2 + 54 = 0.
-1, 2, 3, 6
Factor 2*m**5 + 22*m**4 + 86*m**3 + 138*m**2 + 72*m.
2*m*(m + 1)*(m + 3)**2*(m + 4)
Factor -5*i**3 + 320*i**2.
-5*i**2*(i - 64)
Determine b, given that 4*b**3/7 - 1976*b**2/7 = 0.
0, 494
What is n in 3*n**4 - 6*n**3 - 9*n**2 + 12*n + 12 = 0?
-1, 2
Factor -3*m**2 - 3369*m + 6750.
-3*(m - 2)*(m + 1125)
Factor -2*i**3 + 80*i**2 + 2*i - 80.
-2*(i - 40)*(i - 1)*(i + 1)
Factor 2*r**2 + 728*r + 66248.
2*(r + 182)**2
Solve 16*n**2 - 76*n + 60 = 0 for n.
1, 15/4
Let -h**3/6 + 79*h**2/3 - 313*h/6 + 26 = 0. What is h?
1, 156
What is s in 2*s**2 - 222*s - 1404 = 0?
-6, 117
Suppose -3*a**3/10 + 637*a**2/10 - 1354*a/5 + 416/5 = 0. Calculate a.
1/3, 4, 208
What is y in y**4/3 + 69*y**3 + 1408*y**2/3 + 528*y - 3200/3 = 0?
-200, -4, 1
Solve 28*r**5/5 - 76*r**4/5 - 276*r**3/5 - 212*r**2/5 - 8*r = 0.
-1, -2/7, 0, 5
Determine j, given that 2*j**5/11 - 20*j**4/11 - 20*j**3/11 + 40*j**2 - 942*j/11 + 540/11 = 0.
-5, 1, 2, 3, 9
Factor 66*u**2/7 - 204*u/7 + 18/7.
6*(u - 3)*(11*u - 1)/7
Factor 2*z**3/7 + 4*z**2 + 18*z + 180/7.
2*(z + 3)*(z + 5)*(z + 6)/7
Determine m so that 7*m**5 - 37*m**4 + 38*m**3 - 8*m**2 = 0.
0, 2/7, 1, 4
Solve -81*r**5 - 321*r**4 + 2685*r**3 + 225*r**2 - 2604*r + 96 = 0.
-8, -1, 1/27, 1, 4
Factor 3*f**3/5 - 39*f**2/5 - 87*f/5 - 9.
3*(f - 15)*(f + 1)**2/5
Let -2*n**4/3 + 4*n**3 - 6*n**2 + 8*n/3 = 0. What is n?
0, 1, 4
Factor -2*k**2/7 + k + 4/7.
-(k - 4)*(2*k + 1)/7
Solve p**2 + 9*p + 8 = 0 for p.
-8, -1
Factor -260*b**5 + 122*b**4 + 4*b**3.
-2*b**3*(2*b - 1)*(65*b + 2)
Solve 2*x**3/11 + 186*x**2/11 + 4060*x/11 = 0.
-58, -35, 0
Determine r, given that -5*r**4 + 580*r**3 - 19760*r**2 + 162240*r = 0.
0, 12, 52
Factor 4*c**5/7 - 16*c**4/7 - 24*c**3/7 + 128*c**2/7 - 20*c + 48/7.
4*(c - 4)*(c - 1)**3*(c + 3)/7
What is h in h**5/3 + 7*h**4/3 - 53*h**3/3 + 27*h**2 - 12*h = 0?
-12, 0, 1, 3
Factor -52*f**3 + 60*f**2 + 304*f - 48.
-4*(f - 3)*(f + 2)*(13*f - 2)
Factor -a**3/5 - 40*a**2 - 397*a/5 - 198/5.
-(a + 1)**2*(a + 198)/5
Find l, given that -4*l**5/5 + 132*l**4 - 5640*l**3 + 16136*l**2 - 15876*l + 26244/5 = 0.
1, 81
Determine o, given that -14*o**2 + 4546*o + 1300 = 0.
-2/7, 325
Factor 15*u**2 + 753*u + 882.
3*(u + 49)*(5*u + 6)
Let 5*u**2 - 1740*u + 151380 = 0. Calculate u.
174
Factor p**2/2 - 54*p + 107/2.
(p - 107)*(p - 1)/2
Factor 4*a**5 + 12*a**4 + 4*a**3 - 12*a**2 - 8*a.
4*a*(a - 1)*(a + 1)**2*(a + 2)
Solve 5*g**3 + 300*g**2 + 3940*g + 6720 = 0.
-42, -16, -2
Solve 2*v**5 - 634*v**4 + 65468*v**3 - 2036016*v**2 - 16936128*v - 25194240 = 0 for v.
-5, -2, 108
What is w in 275*w**3/4 - 195*w**2/4 + 6*w + 1 = 0?
-1/11, 2/5
Factor -15*j**4 - 339*j**3 + 138*j**2.
-3*j**2*(j + 23)*(5*j - 2)
Solve -4*i**5/3 + 4*i**4 - 16*i**2/3 = 0.
-1, 0, 2
Factor -3*l**4 - 33*l**3 + 78*l**2.
-3*l**2*(l - 2)*(l + 13)
Factor -36*m**3 - 156*m**2 - 49*m - 4.
-(m + 4)*(6*m + 1)**2
Factor -3*r**3/4 + 911*r**2/4 - 17252*r - 5776.
-(r - 152)**2*(3*r + 1)/4
Suppose -1692*r**2 + 1695*r - 3 = 0. What is r?
1/564, 1
Let 3*l**2 - 3354*l + 937443 = 0. What is l?
559
Find s such that -9*s**3/4 + 69*s**2/2 - 171*s/4 + 21/2 = 0.
1/3, 1, 14
Solve -3*s**4 - 177*s**3 - 2514*s**2 + 3060*s + 5400 = 0.
-30, -1, 2
Let 5*p**2 + 35*p - 90 = 0. Calculate p.
-9, 2
Factor 2*s**2/17 + 80*s/17 + 702/17.
2*(s + 13)*(s + 27)/17
Let -10*l**4 + 104*l**3 - 210*l**2 + 148*l - 32 = 0. What is l?
2/5, 1, 8
Factor s**3/3 + 386*s**2/3 - s/3 - 386/3.
(s - 1)*(s + 1)*(s + 386)/3
Solve -52*r**2 - 8*r = 0 for r.
-2/13, 0
Factor 150*f**5 + 170*f**4 + 62*f**3/3 + 2*f**2/3.
2*f**2*(f + 1)*(15*f + 1)**2/3
Suppose n**5/3 - 28*n**4/3 + 232*n**3/3 - 538*n**2/3 + 487*n/3 - 154/3 = 0. What is n?
1, 11, 14
Solve -2*a**4/23 + 12*a**3/23 + 6*a**2/23 - 32*a/23 - 24/23 = 0 for a.
-1, 2, 6
Factor 2*g**3/15 - 6*g**2/5 + 16*g/15.
2*g*(g - 8)*(g - 1)/15
Find p, given that 5*p**3 - 15*p**2 - 270*p = 0.
-6, 0, 9
Factor -u**3 + 483*u**2 - 58080*u - 58564.
-(u - 242)**2*(u + 1)
Factor 5*c**3 + 525*c**2 + 12960*c - 43740.
5*(c - 3)*(c + 54)**2
Let 2*b**4/9 - 2*b**3/9 - 8*b**2/9 + 8*b/9 = 0. Calculate b.
-2, 0, 1, 2
Factor -2*u**4