181)/7
Factor t**3/7 - t**2 - t/7 + 1.
(t - 7)*(t - 1)*(t + 1)/7
Factor 2*o**2/3 - 88*o/3 + 86/3.
2*(o - 43)*(o - 1)/3
Determine z, given that -z**5/6 - z**4 - 2*z**3 - 5*z**2/3 - z/2 = 0.
-3, -1, 0
Factor d**4/5 - 7*d**3/5 + 8*d**2/5 + 16*d/5.
d*(d - 4)**2*(d + 1)/5
Determine n, given that 3*n**5 + 24*n**4 - 24*n**3 - 192*n**2 + 48*n + 384 = 0.
-8, -2, 2
Suppose -4*z**2/3 + 40*z/3 - 28 = 0. What is z?
3, 7
Solve 40*u**4/19 - 144*u**3/19 + 126*u**2/19 = 0.
0, 3/2, 21/10
Factor -3*p**3/7 - 1404*p**2/7 - 165663*p/7 - 325734/7.
-3*(p + 2)*(p + 233)**2/7
Factor -c**4/5 + 4*c**3/5 - 3*c**2/5 - 4*c/5 + 4/5.
-(c - 2)**2*(c - 1)*(c + 1)/5
Factor 3*g**3 - 2448*g**2 + 665856*g - 60370944.
3*(g - 272)**3
Find f, given that 250*f**5/17 - 2400*f**4/17 + 4610*f**3/17 + 4*f**2/17 - 168*f - 784/17 = 0.
-2/5, 7/5, 2, 7
Let 3*o**2 - 11811*o + 11808 = 0. What is o?
1, 3936
Factor -t**2 + 80*t - 1600.
-(t - 40)**2
Let -2*p**5 + 28*p**4 - 12*p**3 - 208*p**2 + 350*p - 156 = 0. What is p?
-3, 1, 2, 13
Find x, given that -4*x**5 - 263*x**4 - 698*x**3 - 313*x**2 + 126*x = 0.
-63, -2, -1, 0, 1/4
Let -2*w**3/3 + 940*w**2/3 + 946*w/3 - 628 = 0. Calculate w.
-2, 1, 471
Suppose -r**2 + 26*r - 25 = 0. Calculate r.
1, 25
Solve 4*o**2/9 + 26*o/9 - 14/9 = 0 for o.
-7, 1/2
Find x such that -10*x**3/9 - 2*x**2/3 + 10*x/9 + 2/3 = 0.
-1, -3/5, 1
Solve -21*b**4 + 426*b**3 - 1737*b**2 - 4620*b + 1452 = 0.
-2, 2/7, 11
Suppose 3*z**4 - 312*z**3 + 7464*z**2 + 33696*z + 34992 = 0. Calculate z.
-2, 54
Determine w, given that 39*w**2 - 72*w - 12 = 0.
-2/13, 2
Find i, given that 27*i**4 + 15*i**3 - 194*i**2/3 + 76*i/3 - 8/3 = 0.
-2, 2/9, 1
What is y in -154*y**3/5 + 324*y**2/5 - 24*y/5 - 16/5 = 0?
-2/11, 2/7, 2
Let 54*p**4 + 216*p**3 + 252*p**2 + 40*p - 50 = 0. Calculate p.
-5/3, -1, 1/3
Factor l**3 + 38*l**2 + 105*l.
l*(l + 3)*(l + 35)
Factor -t**2/8 + 492*t - 484128.
-(t - 1968)**2/8
Find q such that 4*q**2 - 2088*q + 272484 = 0.
261
Suppose -9*x**4 - 1362*x**3 - 3144*x**2 - 2238*x - 447 = 0. What is x?
-149, -1, -1/3
Suppose 27*j**5 - 56*j**4 - 104*j**3 + 224*j**2 - 16*j = 0. Calculate j.
-2, 0, 2/27, 2
Factor 85*p**2 - 190*p + 40.
5*(p - 2)*(17*p - 4)
Solve n**5 - 11*n**4 + 9*n**3 + 119*n**2 + 98*n = 0.
-2, -1, 0, 7
What is h in -2*h**2 + 38*h + 84 = 0?
-2, 21
Determine m, given that -68*m**5 - 12504*m**4 + 26700*m**3 - 15616*m**2 + 1488*m = 0.
-186, 0, 2/17, 1
Solve 2*f**5 - 8*f**4 - 30*f**3 + 116*f**2 - 80*f = 0.
-4, 0, 1, 2, 5
Find o such that 1860*o**4 - 8068*o**3 + 29864*o**2/3 - 7568*o/3 + 32/3 = 0.
2/465, 1/3, 2
What is k in -2*k**2/5 + 8204*k/5 - 8413202/5 = 0?
2051
Factor -3*z**2/5 - 348*z/5 + 708/5.
-3*(z - 2)*(z + 118)/5
Solve 27*c**3 + 114*c**2 - 111*c - 30 = 0.
-5, -2/9, 1
Suppose -2*g**2 - 392*g - 776 = 0. Calculate g.
-194, -2
Solve h**5 - 7*h**4/2 + 3*h**3/2 = 0 for h.
0, 1/2, 3
Find v such that v**2 + 18*v + 72 = 0.
-12, -6
Factor -x**2 - 87*x - 410.
-(x + 5)*(x + 82)
What is r in 5*r**3/6 + 20*r**2 - 125*r/6 = 0?
-25, 0, 1
Determine v, given that v**3 - 18*v**2 - 39*v - 20 = 0.
-1, 20
Determine p so that 2*p**4/5 + 136*p**3 + 678*p**2/5 = 0.
-339, -1, 0
Factor 4*c**4 - 116*c**3 + 588*c**2 - 828*c.
4*c*(c - 23)*(c - 3)**2
Factor -2*c**3/3 - 484*c**2/3 - 29282*c/3.
-2*c*(c + 121)**2/3
Find x such that -x**4/10 - 14*x**3/5 - 25*x**2 - 90*x - 225/2 = 0.
-15, -5, -3
Let 2*i**5/11 + 78*i**4/11 + 148*i**3/11 - 4*i**2/11 - 150*i/11 - 74/11 = 0. Calculate i.
-37, -1, 1
Solve 2*y**2/15 = 0 for y.
0
Solve 2*o**3 - 2*o**2 - 24*o = 0 for o.
-3, 0, 4
Let 4*p**2/7 + 9376*p/7 + 5494336/7 = 0. Calculate p.
-1172
Suppose -2*d**3 - 50*d**2 = 0. What is d?
-25, 0
Factor -4*x**2 + 136*x - 132.
-4*(x - 33)*(x - 1)
Suppose -3*g**4/4 - 3*g**3/2 = 0. Calculate g.
-2, 0
Determine x so that -x**4/2 + 8*x**3 + 3*x**2/2 - 23*x - 16 = 0.
-1, 2, 16
Factor o**2/2 - 18*o.
o*(o - 36)/2
Determine v so that 21*v**4/4 - 519*v**3/4 + 309*v**2 + 99*v = 0.
-2/7, 0, 3, 22
Factor 2*j**2/13 - 40*j/13 - 42/13.
2*(j - 21)*(j + 1)/13
Factor 12*c**3 + 56*c**2 + 52*c - 24.
4*(c + 2)*(c + 3)*(3*c - 1)
Factor j**4 + 12*j**3 - 110*j**2 - 1452*j - 1331.
(j - 11)*(j + 1)*(j + 11)**2
What is y in y**5/4 - 3*y**3 - 4*y**2 = 0?
-2, 0, 4
Find p, given that -p**5 + 8*p**4 - 7*p**3 = 0.
0, 1, 7
Determine m, given that -5*m**3 + 580*m**2 + 3615*m + 5490 = 0.
-3, 122
Factor 2*i**2/11 + 102*i/11 + 196/11.
2*(i + 2)*(i + 49)/11
Factor 3*v**4/8 - 3*v**3/8 - 27*v**2/8 - 33*v/8 - 3/2.
3*(v - 4)*(v + 1)**3/8
Factor -h**3/6 - 19*h**2/6 + 122*h/3 - 112/3.
-(h - 8)*(h - 1)*(h + 28)/6
Determine a so that -3*a**2/4 + 91*a/2 + 845/4 = 0.
-13/3, 65
Factor -l**2/4 + 139*l/4 + 141/2.
-(l - 141)*(l + 2)/4
Factor 2*b**3/7 - 24*b**2/7 - 18*b/7 + 216/7.
2*(b - 12)*(b - 3)*(b + 3)/7
Factor -2*z**2 + 54*z - 184.
-2*(z - 23)*(z - 4)
Suppose x**5/4 = 0. What is x?
0
Suppose 3*n**2/4 - 111*n/4 - 57/2 = 0. What is n?
-1, 38
Factor 3*y**3/8 - 3*y**2/8 - 6*y + 6.
3*(y - 4)*(y - 1)*(y + 4)/8
Determine j, given that 968*j**4 - 3960*j**3 + 4226*j**2 - 360*j + 8 = 0.
1/22, 2
Factor 2*k**4/9 + 2*k**3/9 - 16*k**2.
2*k**2*(k - 8)*(k + 9)/9
What is a in 3*a**5 + 39*a**4 - 123*a**3 - 459*a**2 + 648*a + 1620 = 0?
-15, -2, 3
Let 2*v**4/3 + 14*v**3/3 + 10*v**2 + 6*v = 0. What is v?
-3, -1, 0
Suppose 5*x**4 - 20*x**3 - 255*x**2 - 430*x - 200 = 0. Calculate x.
-4, -1, 10
Factor 2*o**3 - 10*o**2 + 8*o.
2*o*(o - 4)*(o - 1)
Suppose 2*o**3/9 + 22*o**2/9 + 16*o/3 - 8 = 0. What is o?
-6, 1
Factor 27*s**3 + 117*s**2 + 165*s + 75.
3*(s + 1)*(3*s + 5)**2
Find l, given that 4*l**2 - 296*l + 5476 = 0.
37
Factor -h**3/5 + 14*h**2 - 1537*h/5 + 10092/5.
-(h - 29)**2*(h - 12)/5
Let -2*a**4 - 2*a**3 + 2*a**2 + 2*a = 0. Calculate a.
-1, 0, 1
Factor 3*v**3 + 27*v**2 + 42*v.
3*v*(v + 2)*(v + 7)
Find c, given that -40*c**4 - 415*c**3 - 150*c**2 = 0.
-10, -3/8, 0
Solve 3*t**2/2 - t = 0 for t.
0, 2/3
Suppose -j**2/8 + 3*j/4 = 0. What is j?
0, 6
Factor j**3/6 + 5*j**2/6 + 4*j/3 + 2/3.
(j + 1)*(j + 2)**2/6
Factor 4*m**2 + 104*m - 480.
4*(m - 4)*(m + 30)
Factor -4*a**3 + 60*a**2 - 152*a + 96.
-4*(a - 12)*(a - 2)*(a - 1)
Factor j**2 - 740*j + 136900.
(j - 370)**2
Factor p**5 + 2*p**4 - 6*p**3 - 20*p**2 - 19*p - 6.
(p - 3)*(p + 1)**3*(p + 2)
Suppose -4*n**2/5 - 882*n/5 + 442/5 = 0. Calculate n.
-221, 1/2
Let -2*y**5/5 + 968*y**4/5 - 175692*y**3/5 + 14172488*y**2/5 - 428717762*y/5 = 0. Calculate y.
0, 121
Suppose p**3 - 222*p**2 = 0. What is p?
0, 222
Factor 2*n**2/5 + 35816*n/5 + 160348232/5.
2*(n + 8954)**2/5
Factor -2*i**3/17 + 616*i**2/17 - 1226*i/17 + 36.
-2*(i - 306)*(i - 1)**2/17
Factor -4*x**2/3 + 16*x/3 - 16/3.
-4*(x - 2)**2/3
Factor -44*f**5 - 272*f**4 + 1680*f**3.
-4*f**3*(f + 10)*(11*f - 42)
Let -3*i**2 + 168*i = 0. Calculate i.
0, 56
Factor n**2 + 342*n.
n*(n + 342)
Factor -5*m**4 + 105*m**3 - 440*m**2 + 660*m - 320.
-5*(m - 16)*(m - 2)**2*(m - 1)
Find d, given that -d**2/3 + 29*d/3 + 70 = 0.
-6, 35
Determine z so that -11*z**4/9 - 79*z**3/9 - 56*z**2/3 - 116*z/9 - 16/9 = 0.
-4, -2, -1, -2/11
Factor -v**3/2 - 11*v**2 + 131*v/2 - 54.
-(v - 4)*(v - 1)*(v + 27)/2
Factor -1700*n**2/7 + 1688*n/7 + 12/7.
-4*(n - 1)*(425*n + 3)/7
Solve 2*r**5/9 - 86*r**4/3 + 9790*r**3/9 - 92822*r**2/9 + 52432*r/3 - 74008/9 = 0.
1, 11, 58
Suppose -2*f**3/13 - 12*f**2/13 - 10*f/13 = 0. What is f?
-5, -1, 0
Let y**3/8 - 15*y**2/8 - 117*y/8 - 189/8 = 0. What is y?
-3, 21
Find k such that -81*k**5/7 + 72*k**4/7 + 339*k**3/7 - 42*k**2 - 60*k/7 + 24/7 = 0.
-2, -1/3, 2/9, 1, 2
Determine s so that 3*s**2 - 270*s + 267 = 0.
1, 89
Suppose -22*a**5 - 898*a**4 - 694*a**3 + 1058*a**2 + 716*a - 160 = 0. Calculate a.
-40, -1, 2/11, 1
Let -2*l**2/9 + 128*l/3 + 386/9 = 0. Calculate l.
-1, 193
Solve 10*s**5 - 14*s**4 - 56*s**3 + 24*s**2 = 0.
-2, 0, 2/5, 3
Suppose 3*r**3 + 21*r**2 + 36*r = 0. What is r?
-4, -3, 0
Determine v so that -v**3 + 478*v**2 - 57121*v = 0.
0, 239
Factor -4*j**3 - 60*j**2 - 224*j - 240.
-4*(j + 2)*(j + 3)*(j + 10)
Suppose -14*f**3/5 + 16*f**2/5 + 14*f/5 - 16/5 = 0. Calculate f.
-1, 1, 8/7
What is w in -w**4/4 - 3*w**3/2 + 3*w**2/4 + 4*w - 3 = 0?
-6, -2, 1
Factor 3*b**4 + 9*b**3 - 54*b**2 - 96*b + 288.
3*(b - 3)*(b - 2)*(b + 4)**2
Solve -5*j**3 - 85*j**2 - 70*j + 160 = 0 for j.
-16, -2, 1
Factor w**4/8 + 167*w**3/4 - 507*w**2/2 + 509*w - 340.
(w - 2)**3*(w + 340)/8
Find b such that -b**2/6 - b/2 = 