 -1, 2
Factor w**3/2 - 19*w**2/2 + 103*w/2 - 165/2.
(w - 11)*(w - 5)*(w - 3)/2
Factor 2*v**3/5 - 26*v**2/5 - 16*v + 280.
2*(v - 10)**2*(v + 7)/5
Suppose 4*k**2 + 12056*k + 9084196 = 0. Calculate k.
-1507
Solve -35152*y**5/11 + 6760*y**4 - 43420*y**3/11 + 4370*y**2/11 - 160*y/11 + 2/11 = 0.
1/26, 1
Factor 2*r**4 - 22*r**3 - 28*r**2 + 48*r.
2*r*(r - 12)*(r - 1)*(r + 2)
Find z, given that 5*z**3 - 10*z**2 - 65*z - 50 = 0.
-2, -1, 5
Factor -j**2/2 - 9*j/2.
-j*(j + 9)/2
Factor 2*l**2/3 - 4*l - 110/3.
2*(l - 11)*(l + 5)/3
Suppose -3*f**5/8 - 9*f**4/8 - 3*f**3/4 = 0. Calculate f.
-2, -1, 0
Suppose 25*u**4/4 + 1005*u**3/2 + 1179*u**2 + 702*u = 0. Calculate u.
-78, -6/5, 0
Find z such that 2*z**5 - 18*z**4 - 739*z**3/2 - 1355*z**2 - 2175*z/2 - 250 = 0.
-5, -1/2, 20
Determine p, given that -p**2/5 + 1266*p - 2003445 = 0.
3165
Suppose 2*i**4 - 34*i**3 + 128*i**2 - 96*i = 0. What is i?
0, 1, 4, 12
Let 3*i**4 - 591*i**3/5 + 234*i**2/5 = 0. Calculate i.
0, 2/5, 39
What is i in -6*i**4 - 4*i**3 + 6*i**2 + 4*i = 0?
-1, -2/3, 0, 1
Determine u, given that -15*u**5/7 - 99*u**4/7 - 249*u**3/7 - 297*u**2/7 - 24*u - 36/7 = 0.
-2, -1, -3/5
Determine x, given that -10*x**5/3 - 8*x**4 + 2*x**3/3 + 8*x**2 + 8*x/3 = 0.
-2, -1, -2/5, 0, 1
Determine o so that -o**4 - 14*o**3 - 28*o**2 + 120*o = 0.
-10, -6, 0, 2
Factor 2*h**3/3 + 208*h**2/3 + 598*h/3 - 808/3.
2*(h - 1)*(h + 4)*(h + 101)/3
Factor -2*j**2 - 2796*j - 977202.
-2*(j + 699)**2
Find v, given that 2*v**3/15 + 112*v**2/15 - 70*v/3 + 236/15 = 0.
-59, 1, 2
Let b**2 + 9542*b + 22762441 = 0. What is b?
-4771
Factor -2*r**2 + 32.
-2*(r - 4)*(r + 4)
Find z such that -z**4/8 + 643*z**3/4 - 414733*z**2/8 + 206403*z/2 - 103041/2 = 0.
1, 642
Factor 2*z**2/9 - 132*z + 1186/9.
2*(z - 593)*(z - 1)/9
Suppose -4*u**4 - 39*u**3 - 66*u**2 + 139*u - 30 = 0. What is u?
-6, -5, 1/4, 1
Let -3*j**3 + 27*j**2 + 1683*j + 11253 = 0. What is j?
-11, 31
Factor 3*a**2 - 3480*a + 10413.
3*(a - 1157)*(a - 3)
Suppose -5*t**2/9 - 5702*t/9 - 760/3 = 0. Calculate t.
-1140, -2/5
Factor -21*x**2/2 + 43*x/2 - 6.
-(3*x - 1)*(7*x - 12)/2
Find g, given that -2*g**3/3 - 244*g**2/3 - 2952*g - 27216 = 0.
-54, -14
Determine z so that 2*z**4/13 - 128*z**3/13 + 124*z**2/13 + 128*z/13 - 126/13 = 0.
-1, 1, 63
Solve m**4/4 - 85*m**3/4 - 89*m**2/2 + 85*m + 174 = 0 for m.
-2, 2, 87
Factor 2*h**3/11 - 222*h**2/11 + 6048*h/11 + 6272/11.
2*(h - 56)**2*(h + 1)/11
Find z, given that 3*z**4/4 + 1229*z**3/4 - 4121*z**2/4 + 3715*z/4 - 413/2 = 0.
-413, 1/3, 1, 2
Factor -14*k**3 - 44*k**2 - 34*k - 4.
-2*(k + 1)*(k + 2)*(7*k + 1)
Factor -t**3/5 - 2*t**2 - 17*t/5 - 8/5.
-(t + 1)**2*(t + 8)/5
Find r such that r**5/6 + 11*r**4/6 + 5*r**3/3 = 0.
-10, -1, 0
Find i, given that -2*i**3/11 - 204*i**2/11 - 5400*i/11 - 3888 = 0.
-66, -18
Determine x, given that -4*x**5/5 - 876*x**4/5 - 50912*x**3/5 - 321328*x**2/5 - 345984*x/5 + 719104/5 = 0.
-106, -4, 1
What is r in 5*r**2 - 245*r + 1800 = 0?
9, 40
Find f such that 3*f**3 - 258*f**2 + 5547*f = 0.
0, 43
Factor -m**3/3 + 301*m**2/3 - 896*m/3 + 596/3.
-(m - 298)*(m - 2)*(m - 1)/3
Find f such that 5*f**2 + 4080*f + 832320 = 0.
-408
Factor 21*j**4 + 132*j**3 + 36*j**2 - 672*j - 192.
3*(j - 2)*(j + 4)**2*(7*j + 2)
Let 2*l**4 + 52*l**3 + 294*l**2 + 548*l + 304 = 0. Calculate l.
-19, -4, -2, -1
Factor -20*r**3 + 188*r**2 - 352*r + 112.
-4*(r - 7)*(r - 2)*(5*r - 2)
Factor -2*d**3/3 + 26*d**2 - 240*d - 800/3.
-2*(d - 20)**2*(d + 1)/3
Find k such that -2*k**3/13 - 114*k**2/13 - 222*k/13 - 110/13 = 0.
-55, -1
Let -2*u**3/7 + 2*u**2/7 + 4*u/7 = 0. What is u?
-1, 0, 2
Determine c, given that 5*c**4 - 53*c**3 + 198*c**2 - 316*c + 184 = 0.
2, 23/5
Determine g, given that -2*g**2/3 - 4*g/3 + 160/3 = 0.
-10, 8
Find h, given that 4*h**3/9 + 64*h**2/9 + 100*h/3 + 48 = 0.
-9, -4, -3
Solve -h**3/9 + h/9 = 0.
-1, 0, 1
Factor 10*x**3 - 10202*x**2 + 2603040*x - 520200.
2*(x - 510)**2*(5*x - 1)
Factor 2*a**4/19 - 16*a**2/19 + 32/19.
2*(a - 2)**2*(a + 2)**2/19
Find h, given that 25*h**4 - 60*h**3 - 5*h**2 + 60*h - 20 = 0.
-1, 2/5, 1, 2
Find f, given that 52*f**5 - 356*f**4 + 516*f**3 - 172*f**2 - 40*f = 0.
-2/13, 0, 1, 5
Factor 2*r**3 - 136*r**2 + 134*r.
2*r*(r - 67)*(r - 1)
Factor -3*c**5 + 27*c**4 - 87*c**3 + 129*c**2 - 90*c + 24.
-3*(c - 4)*(c - 2)*(c - 1)**3
Factor v**2 - 12*v + 27.
(v - 9)*(v - 3)
Suppose -3*c**2/2 - 230*c + 154 = 0. Calculate c.
-154, 2/3
Find n, given that 3*n**3 - 9*n**2 - 27*n - 15 = 0.
-1, 5
Determine r, given that -r**5/8 - 5*r**4/8 - 9*r**3/8 - 7*r**2/8 - r/4 = 0.
-2, -1, 0
Find k such that 4*k**5 - 8*k**4 - 52*k**3 - 40*k**2 = 0.
-2, -1, 0, 5
Factor -2*b**3/5 + 1516*b**2/5 - 287282*b/5.
-2*b*(b - 379)**2/5
Let -2*n**3 + 178*n**2 - 5214*n + 50094 = 0. What is n?
23, 33
Suppose 4*x**3 - 12*x**2 + 8*x = 0. Calculate x.
0, 1, 2
Determine d, given that 4*d**2/9 + 8*d/3 + 32/9 = 0.
-4, -2
Solve -15*y**4 - 380*y**3 + 1625*y**2 + 830*y - 1160 = 0 for y.
-29, -1, 2/3, 4
Find o, given that -3*o**3/2 - 24*o**2 - 39*o/2 + 45 = 0.
-15, -2, 1
Let -18*o**3 + 1372*o**2 + 1082*o - 308 = 0. What is o?
-1, 2/9, 77
Suppose -2*u**4/13 - 10*u**3 + 402*u**2/13 - 406*u/13 + 136/13 = 0. What is u?
-68, 1
Solve -20*s**3/9 + 4*s**2 + 8*s/9 = 0 for s.
-1/5, 0, 2
Factor 5*z**2 + 125*z - 130.
5*(z - 1)*(z + 26)
Factor c**2 - 76*c - 77.
(c - 77)*(c + 1)
Let -2*a**2/7 - 8*a/7 - 6/7 = 0. What is a?
-3, -1
Factor f**2/4 - 21*f/4 + 5.
(f - 20)*(f - 1)/4
Determine m, given that m**3 - 6*m**2 - 64*m - 96 = 0.
-4, -2, 12
Factor 3*h**4 - 20*h**3/3 + 4*h**2/3.
h**2*(h - 2)*(9*h - 2)/3
Factor -r**2 - 16*r - 64.
-(r + 8)**2
Factor -35*a**3 - 600*a**2 - 645*a - 80.
-5*(a + 1)*(a + 16)*(7*a + 1)
Find h, given that 10*h**5 + 16*h**4 - 18*h**3 - 16*h**2 + 8*h = 0.
-2, -1, 0, 2/5, 1
Factor -4*l**4 - 4*l**3 + 12*l**2 + 20*l + 8.
-4*(l - 2)*(l + 1)**3
Solve 5*g**2 + 51470*g + 132458045 = 0.
-5147
Factor -4*x**2 - 48152*x - 144913444.
-4*(x + 6019)**2
Factor 2*s**3 + 60*s**2 - 62*s.
2*s*(s - 1)*(s + 31)
Factor -747003*h**2/7 - 5988*h/7 - 12/7.
-3*(499*h + 2)**2/7
Suppose -3*b**3 + 303*b**2 + 3*b - 303 = 0. What is b?
-1, 1, 101
Factor l**2/9 - 148*l/9 + 5476/9.
(l - 74)**2/9
Solve -7*q**4 - 152*q**3 + 401*q**2 + 402*q - 144 = 0 for q.
-24, -1, 2/7, 3
Factor 5*t**3/2 + 585*t**2 + 2325*t/2 + 580.
5*(t + 1)**2*(t + 232)/2
Find m such that -m**2/4 - 1833*m/4 = 0.
-1833, 0
Factor -l**3/7 - 19*l**2/7 - 5*l - 17/7.
-(l + 1)**2*(l + 17)/7
Let w**3/2 + 2*w**2 + 2*w = 0. What is w?
-2, 0
Factor -5*c**3 - 165*c**2 - 870*c + 1040.
-5*(c - 1)*(c + 8)*(c + 26)
Factor 12482*l**4/7 - 18012*l**3/7 - 454*l**2/7 + 5016*l/7 + 968/7.
2*(l - 1)**2*(79*l + 22)**2/7
What is j in -3*j**5 + 18*j**4 = 0?
0, 6
Find y, given that -42*y**2 - 57*y + 99 = 0.
-33/14, 1
Determine f, given that 5*f**5 + 110*f**4 + 680*f**3 + 560*f**2 - 2800*f - 4000 = 0.
-10, -2, 2
Factor -210*s**2 - 271*s/2 + 3.
-(3*s + 2)*(140*s - 3)/2
Factor 3*r**5/4 - 15*r**4/4 + 6*r**3 - 3*r**2.
3*r**2*(r - 2)**2*(r - 1)/4
Solve 7*k**3/3 - 107*k**2/3 - 494*k + 144 = 0.
-9, 2/7, 24
Factor -2*g**3/3 - 10*g**2/3 + 26*g/3 - 14/3.
-2*(g - 1)**2*(g + 7)/3
Factor 3*l**4/4 + 6*l**3 - 99*l**2/4.
3*l**2*(l - 3)*(l + 11)/4
Suppose 3*r**4 - 27*r**3 - 33*r**2 + 27*r + 30 = 0. Calculate r.
-1, 1, 10
Factor -3*z**2 + 2208*z - 406272.
-3*(z - 368)**2
Factor 2*i**3 - 18*i**2 - 42*i - 22.
2*(i - 11)*(i + 1)**2
Factor -2*k**5 + 4*k**4 + 124*k**3 + 360*k**2 + 54*k - 540.
-2*(k - 10)*(k - 1)*(k + 3)**3
Find c, given that 2*c**5/21 + 424*c**4/21 - 4*c**3/21 - 848*c**2/21 + 2*c/21 + 424/21 = 0.
-212, -1, 1
Solve -3*h**3 + 501*h**2 - 22113*h + 98415 = 0.
5, 81
Solve -3*a**2/7 + 3*a/7 + 60/7 = 0 for a.
-4, 5
Find r, given that 70*r**4 + 120555*r**3 + 51918290*r**2 + 11102595*r - 7413210 = 0.
-861, -1/2, 2/7
Factor -2*d**2 + 1540*d + 1542.
-2*(d - 771)*(d + 1)
Solve m**4/5 + 6*m**3/5 + 11*m**2/5 + 6*m/5 = 0 for m.
-3, -2, -1, 0
Factor 2*j**4/5 - 18*j**3/5 + 28*j**2/5 + 48*j/5.
2*j*(j - 6)*(j - 4)*(j + 1)/5
Factor -2*y**4 + 26*y**2 + 24*y.
-2*y*(y - 4)*(y + 1)*(y + 3)
Factor 2*m**2/11 + 70*m/11 + 68/11.
2*(m + 1)*(m + 34)/11
Find j, given that -18*j**4 - 28*j**3 + 136*j**2/9 - 16*j/9 = 0.
-2, 0, 2/9
Let 2*a**2 - 10*a = 0. Calculate a.
0, 5
Factor -5*v**2 - 109*v + 22.
-(v + 22)*(5*v - 1)
Determine q, given that -4*q**4 + 48*q**3 + 52*q**2 = 0.
-1, 0, 13
Let k**3/10