2*x**2/3 = 0.
0, 1/8, 4
Determine u so that -10*u**5/11 + 516*u**4 - 14678*u**3/11 - 620*u**2 + 22584*u/11 + 9040/11 = 0.
-1, -2/5, 2, 565
Factor 27*i**4 + 216*i**3 - 234*i**2 + 80*i - 9.
(i + 9)*(3*i - 1)**3
Find t such that -3*t**2 - 369*t - 366 = 0.
-122, -1
What is x in -3*x**3 + 1671*x**2 - 3333*x + 1665 = 0?
1, 555
Factor -2*v**2 + 140*v.
-2*v*(v - 70)
Factor 2*o**4/7 + 20*o**3/7 + 46*o**2/7 + 4*o.
2*o*(o + 1)*(o + 2)*(o + 7)/7
Factor 2*i**3/9 - 14*i**2/9 + 28*i/9 - 16/9.
2*(i - 4)*(i - 2)*(i - 1)/9
Factor -5*o**2 + 2260*o + 4540.
-5*(o - 454)*(o + 2)
Let 3*a**2 + 45*a + 108 = 0. What is a?
-12, -3
Solve 2*l**3 + 684*l**2 = 0.
-342, 0
Let -2*c**5 - 18*c**4 - 26*c**3 + 138*c**2 + 388*c + 240 = 0. Calculate c.
-5, -4, -2, -1, 3
Factor 27*r**4 + 52*r**3 + 23*r**2 - 2*r.
r*(r + 1)**2*(27*r - 2)
Factor 2*l**3 + 10*l**2 + 6*l - 18.
2*(l - 1)*(l + 3)**2
Factor 3*p**3/4 + 39*p**2/4 - 87*p/4 + 45/4.
3*(p - 1)**2*(p + 15)/4
What is d in 3*d**2/4 + 3*d/2 - 45/4 = 0?
-5, 3
Find z such that -z**2 - 171*z + 172 = 0.
-172, 1
Factor 3*u**3 - 36*u**2 + 135*u - 162.
3*(u - 6)*(u - 3)**2
Suppose -5*f**5/3 + 80*f**4/3 - 320*f**3/3 = 0. What is f?
0, 8
Factor -2*z**2/9 - 98*z/9.
-2*z*(z + 49)/9
Factor 3*v**3/4 + 45*v**2/2 + 81*v - 1458.
3*(v - 6)*(v + 18)**2/4
Factor -2*h**2/19 + 3446*h/19 - 3444/19.
-2*(h - 1722)*(h - 1)/19
Factor -p**2 + 145*p.
-p*(p - 145)
Factor 4*j**5 - 136*j**4 - 140*j**3.
4*j**3*(j - 35)*(j + 1)
Factor 5*j**5 + 15*j**4 - 5*j**3 - 15*j**2.
5*j**2*(j - 1)*(j + 1)*(j + 3)
Factor 2*o**2/11 - 12*o/11.
2*o*(o - 6)/11
Factor 2*p**2 + 16*p - 40.
2*(p - 2)*(p + 10)
Factor -s**3 - 163*s**2 - 6560*s + 6724.
-(s - 1)*(s + 82)**2
Factor -3*o**3/4 + 69*o**2/2 - 360*o - 864.
-3*(o - 24)**2*(o + 2)/4
Find f, given that -2*f**4/7 + 16*f**3/7 + 62*f**2/7 + 44*f/7 = 0.
-2, -1, 0, 11
Determine c, given that -c**2 - 101*c - 198 = 0.
-99, -2
Factor -9*p**3 + 957*p**2 - 4812*p - 3636.
-3*(p - 101)*(p - 6)*(3*p + 2)
Suppose 4*n**4/3 + 38*n**3/3 + 26*n**2 - 70*n/3 - 50/3 = 0. What is n?
-5, -1/2, 1
Factor -33*d**2/7 + 156*d/7 + 36.
-3*(d - 6)*(11*d + 14)/7
Let -4*r**4 - 7*r**3 + 6*r**2 + 7*r - 2 = 0. Calculate r.
-2, -1, 1/4, 1
Factor -2*i**2 - 2*i + 220.
-2*(i - 10)*(i + 11)
Factor 4*k**2 - 984*k.
4*k*(k - 246)
Factor -2*s**2/19 - 296*s/19 - 10952/19.
-2*(s + 74)**2/19
Determine i so that 2*i**5 + 118*i**4 + 2014*i**3 + 8162*i**2 + 12096*i + 5832 = 0.
-27, -2, -1
Suppose 6962*m**2/3 + 472*m/3 + 8/3 = 0. What is m?
-2/59
Find b such that 3*b**5/4 - 3*b**4/4 - 9*b**3/2 + 21*b**2/2 - 33*b/4 + 9/4 = 0.
-3, 1
Factor -x**5/2 + 3*x**4 + 63*x**3/2 + 54*x**2.
-x**2*(x - 12)*(x + 3)**2/2
Suppose 3*r**5/5 + 27*r**4/5 + 72*r**3/5 + 48*r**2/5 = 0. What is r?
-4, -1, 0
Determine o, given that o**3 - 3*o**2 + 4 = 0.
-1, 2
Solve 3*p**4 - 114*p**2 - 216*p - 105 = 0.
-5, -1, 7
Determine z, given that -3*z**2/2 - 51*z + 504 = 0.
-42, 8
Suppose -5*s**2 - 3600*s - 648000 = 0. Calculate s.
-360
Let -l**3/5 + 159*l**2/5 - 623*l/5 + 93 = 0. Calculate l.
1, 3, 155
What is r in -25*r**2 - 515*r + 210 = 0?
-21, 2/5
Find t such that -t**5/2 - 3*t**4/2 + 3*t**3/2 + 11*t**2/2 + 3*t = 0.
-3, -1, 0, 2
What is d in 2*d**3/7 - 1446*d**2/7 + 262086*d/7 - 260642/7 = 0?
1, 361
Factor f**3/12 + 1135*f**2/3 - f/12 - 1135/3.
(f - 1)*(f + 1)*(f + 4540)/12
Factor -2*r**2/3 - 16684*r/3 - 34794482/3.
-2*(r + 4171)**2/3
Factor -553*q**2/8 - 95*q/8 + 9/4.
-(7*q + 2)*(79*q - 9)/8
Factor -50*r**4 + 8020*r**3 - 331082*r**2 + 760296*r - 449352.
-2*(r - 79)**2*(5*r - 6)**2
Factor -5*y**5 + 685*y**4 - 23800*y**3 + 23120*y**2.
-5*y**2*(y - 68)**2*(y - 1)
Factor q**3 + 122*q**2 + 3840*q + 7200.
(q + 2)*(q + 60)**2
Factor 2*s**3 + 12*s**2 + 16*s.
2*s*(s + 2)*(s + 4)
Factor -64*i**3 - 126*i**2 + 4*i.
-2*i*(i + 2)*(32*i - 1)
Factor 5*d**3 - 45*d**2 - 110*d.
5*d*(d - 11)*(d + 2)
Determine d so that 4*d**3 + 20*d**2 + 24*d = 0.
-3, -2, 0
Suppose 4*r**3 - 180*r**2 - 184*r = 0. What is r?
-1, 0, 46
Factor -y**2 + 42*y + 784.
-(y - 56)*(y + 14)
Factor 114*x**3 + 1478*x**2 - 3472*x + 120.
2*(x - 2)*(x + 15)*(57*x - 2)
Factor -2*c**3 - 6*c**2 - 4*c.
-2*c*(c + 1)*(c + 2)
Factor -s**3/5 - 14*s**2/5 + 176*s/5.
-s*(s - 8)*(s + 22)/5
Find d such that -84*d**2 + 573*d - 138 = 0.
1/4, 46/7
Factor -g**3 + 139*g**2 - 1315*g + 3225.
-(g - 129)*(g - 5)**2
Factor 6*c**2/5 + 522*c/5 + 1080.
6*(c + 12)*(c + 75)/5
Factor -4*m**2 + 1408*m - 123904.
-4*(m - 176)**2
Suppose -z**5/4 + 7*z**4 - 313*z**3/4 + 873*z**2/2 - 1215*z + 1350 = 0. What is z?
5, 6
Factor -2*o**2/3 - 92*o/3 + 94/3.
-2*(o - 1)*(o + 47)/3
Factor a**3/4 - 127*a**2/4 - 529*a/4 + 655/4.
(a - 131)*(a - 1)*(a + 5)/4
Suppose 2*g**5/19 + 24*g**4/19 + 40*g**3/19 = 0. Calculate g.
-10, -2, 0
Solve -2*l**3/5 - 6*l**2/5 - 4*l/5 = 0 for l.
-2, -1, 0
Suppose h**5/8 + 9*h**4/8 + 17*h**3/8 - 25*h**2/8 - 21*h/4 + 5 = 0. What is h?
-5, -4, -2, 1
Find b, given that 2*b**2/5 + 4*b + 18/5 = 0.
-9, -1
Factor x**3 - 26*x**2 + 41*x + 644.
(x - 23)*(x - 7)*(x + 4)
Factor 3*z**4 - 75*z**3 - 243*z**2 - 249*z - 84.
3*(z - 28)*(z + 1)**3
Factor -3*p**2 - 12*p + 663.
-3*(p - 13)*(p + 17)
Let -64*l**2 - 20*l = 0. Calculate l.
-5/16, 0
Suppose -130*t**4/3 + 391*t**3/3 + 127*t**2/3 - 391*t/3 + 1 = 0. Calculate t.
-1, 1/130, 1, 3
Factor x**2/5 + 103*x/5 + 202/5.
(x + 2)*(x + 101)/5
Factor 4*y**3 + 236*y**2 + 2716*y + 8820.
4*(y + 7)**2*(y + 45)
Factor 5*d**3 - 15*d**2 + 15*d - 5.
5*(d - 1)**3
Factor -4*h**5 + 104*h**4 - 420*h**3.
-4*h**3*(h - 21)*(h - 5)
What is a in -a**3/2 - 7*a**2/2 + 5*a + 8 = 0?
-8, -1, 2
Determine r, given that 2*r**4 + 4*r**3 - 8*r**2 - 4*r + 6 = 0.
-3, -1, 1
Let -4*b**4/9 - 952*b**3/9 - 50644*b**2/9 + 238000*b/3 - 250000 = 0. Calculate b.
-125, 6
Determine x so that x**4 + 27*x**3 + 138*x**2 + 260*x + 168 = 0.
-21, -2
Factor -3*m**2/4 - 51*m/4 + 27/2.
-3*(m - 1)*(m + 18)/4
Factor c**2/4 - 5*c + 16.
(c - 16)*(c - 4)/4
Find o, given that -5*o**3 - 10*o**2 + 20*o + 40 = 0.
-2, 2
Factor -103*u**2/4 - 77*u + 3/4.
-(u + 3)*(103*u - 1)/4
Factor 4*q**3/7 - 16*q**2/7 - 4*q/7 + 16/7.
4*(q - 4)*(q - 1)*(q + 1)/7
Factor -5*r**5 - 85*r**4 + 185*r**3 - 95*r**2.
-5*r**2*(r - 1)**2*(r + 19)
Determine o, given that 2*o**4 + 18*o**3 - 204*o**2 + 320*o = 0.
-16, 0, 2, 5
Suppose 2*i**3/5 - 24*i/5 + 32/5 = 0. What is i?
-4, 2
Determine h so that 2*h**3 + 84*h**2 - 90*h - 172 = 0.
-43, -1, 2
Factor l**2 - 76*l + 75.
(l - 75)*(l - 1)
Factor -40*q**3 - 24*q**2 - 18*q/5.
-2*q*(10*q + 3)**2/5
Suppose -16*a**4 - 4*a**3 + 112*a**2 - 68*a - 24 = 0. Calculate a.
-3, -1/4, 1, 2
Factor c**3/4 - 3*c**2/2 - 63*c/4 + 98.
(c - 7)**2*(c + 8)/4
Solve -15*a**2 + 36*a + 27 = 0.
-3/5, 3
Factor 2*k**4/11 - 6*k**3/11 + 4*k**2/11.
2*k**2*(k - 2)*(k - 1)/11
Factor -24*s**2 - 56*s - 98/3.
-2*(6*s + 7)**2/3
Factor -j**2 + 56*j - 784.
-(j - 28)**2
Factor -z**2/7 + 31*z/7 - 30/7.
-(z - 30)*(z - 1)/7
Factor 3*x**3/4 + 126*x**2 + 483*x/4 - 1503/2.
3*(x - 2)*(x + 3)*(x + 167)/4
Let 5*w**3 + 480*w**2 - 3020*w + 4080 = 0. What is w?
-102, 2, 4
Factor -5*b**3 + 3270*b**2 - 528045*b - 2164820.
-5*(b - 329)**2*(b + 4)
Find y, given that 4*y**3 + 52*y**2 + 64*y - 768 = 0.
-8, 3
Factor 4*c**3 - 96*c**2 + 720*c - 1728.
4*(c - 12)*(c - 6)**2
Factor -3*v**2/7 + 9*v + 138/7.
-3*(v - 23)*(v + 2)/7
Determine n so that -4*n**2 - 732*n - 728 = 0.
-182, -1
Factor -t**4 - 36*t**3 - 189*t**2 - 270*t.
-t*(t + 3)**2*(t + 30)
Factor -3*g**2 - 141*g - 1596.
-3*(g + 19)*(g + 28)
Factor -2*m**2 - 292*m + 592.
-2*(m - 2)*(m + 148)
Suppose 5*s**5 + 285*s**4 - 590*s**3 = 0. Calculate s.
-59, 0, 2
Factor 2*h**4/3 - 4*h**3 - 14*h**2/3.
2*h**2*(h - 7)*(h + 1)/3
Let 4*p**4 + 40*p**3 + 144*p**2 + 216*p + 108 = 0. Calculate p.
-3, -1
Factor 30*o**4 - 55*o**3 - 220*o**2 - 155*o - 20.
5*(o - 4)*(o + 1)**2*(6*o + 1)
Factor 2*a**3 + 178*a**2 + 688*a + 680.
2*(a + 2)**2*(a + 85)
Determine d, given that -4*d**3 + 716*d**2 - 31680*d - 32400 = 0.
-1, 90
Determine n so that -n**2 + 14*n - 48 = 0.
6, 8
Factor d**2/5 + 112*d/5 + 832/5.
(d + 8)*(d + 104)/5
Solve 4*z**5 - 388*z**3 + 1072*z**2 + 48*z - 1408 = 0 for z.
-11, -1, 2, 8
Factor 3*f**4 - 3*f**3 - 21*f**2 + 39*f - 18.
3*(f - 2)*(f - 1)**2*(f + 3)
Determine m so that -6*m**4/7 - 39*m**3/7 - 48*m**2/7 + 57*m/7 + 36/7 = 0.
-4, -3, -1/2, 1
Factor -2*s**2/11 - 610*s/11 + 612/11.
-2*(s - 1)*(s + 306)/11
Suppose -3*v*