w such that -w**5/2 - 9*w**4/4 - 3*w**3/4 + w**2 = 0.
-4, -1, 0, 1/2
Find n, given that 2*n**4 - 202*n**3/3 + 282*n**2 - 998*n/3 + 116 = 0.
2/3, 1, 3, 29
Let -t**3/3 - 19*t**2/3 + 22*t/3 + 40/3 = 0. Calculate t.
-20, -1, 2
Determine h so that -25*h**4/3 + 15020*h**3/3 - 2262004*h**2/3 + 600800*h - 120000 = 0.
2/5, 300
Let -5*m**5/2 - 567*m**4/2 - 781*m**3/2 + 343*m**2/2 + 393*m + 112 = 0. Calculate m.
-112, -1, -2/5, 1
Find o, given that -2*o**5 - 752*o**4 - 95240*o**3 - 4185248*o**2 - 15622016*o - 15252992 = 0.
-124, -2
Factor w**3 + 31*w**2 + 30*w.
w*(w + 1)*(w + 30)
Factor c**5 + 4*c**4 - 6*c**3 - 36*c**2 - 27*c.
c*(c - 3)*(c + 1)*(c + 3)**2
Find j, given that 3*j**3/2 - 249*j**2/2 - 126*j = 0.
-1, 0, 84
Factor -7396*u**2/5 - 1376*u/5 - 64/5.
-4*(43*u + 4)**2/5
Factor -2*v**2/7 - 278*v/7 + 40.
-2*(v - 1)*(v + 140)/7
Factor -4*o**3 + 28*o**2 + 40*o - 64.
-4*(o - 8)*(o - 1)*(o + 2)
Determine d, given that d**2/8 + 11*d/4 + 105/8 = 0.
-15, -7
Let 4*n**5/3 + 350*n**4/9 + 2078*n**3/9 + 1418*n**2/3 + 3614*n/9 + 1100/9 = 0. What is n?
-22, -25/6, -1
Determine j so that -2*j**5 - 92*j**4 + 190*j**3 - 96*j**2 = 0.
-48, 0, 1
Solve 2*t**4/11 + 12*t**3/11 - 14*t**2/11 = 0 for t.
-7, 0, 1
Let 8*b**4 - 990*b**3 - 2256*b**2 - 1510*b - 252 = 0. What is b?
-1, -1/4, 126
Determine u so that u**3/2 - 195*u**2 - 1177*u/2 - 393 = 0.
-2, -1, 393
Solve 5*h**5/4 + 121*h**4/2 + 2971*h**3/4 + 455*h**2/2 - 744*h - 288 = 0 for h.
-24, -1, -2/5, 1
Factor j**3/2 - 3*j**2/5 + j/10.
j*(j - 1)*(5*j - 1)/10
Factor 4*h**2 + 16776*h + 17589636.
4*(h + 2097)**2
Factor 2*t**4/3 - 32*t**3/3 + 170*t**2/3 - 100*t.
2*t*(t - 6)*(t - 5)**2/3
Factor 2*x**2/5 - 78*x/5 + 216/5.
2*(x - 36)*(x - 3)/5
Solve -2*k**5/7 + 32*k**4/7 - 22*k**3 + 268*k**2/7 - 144*k/7 = 0 for k.
0, 1, 2, 4, 9
Factor h**5 + 3538*h**4 + 4170121*h**3 + 1634681140*h**2 - 3281886800*h + 1643032000.
(h - 1)**2*(h + 1180)**3
Factor -z**3 + 2*z**2/3 + 9*z - 6.
-(z - 3)*(z + 3)*(3*z - 2)/3
What is a in 14*a**3 + 178*a**2 + 368*a - 120 = 0?
-10, -3, 2/7
Factor 32*m**2/21 + 2*m - 138/7.
2*(m - 3)*(16*m + 69)/21
Solve 5*q**5 - 45*q**4 + 145*q**3 - 195*q**2 + 90*q = 0.
0, 1, 2, 3
Suppose 8*i**2/7 - 82*i/7 = 0. Calculate i.
0, 41/4
Factor -z**2/3 - 37*z/3 + 38/3.
-(z - 1)*(z + 38)/3
Suppose -b**3/5 - 21*b**2 = 0. Calculate b.
-105, 0
Factor -3*c**2 + 90*c.
-3*c*(c - 30)
Solve -4*v**2/9 + 3548*v/9 + 1184/3 = 0.
-1, 888
Suppose -3*c**3 + 546*c**2 - 24843*c = 0. What is c?
0, 91
Determine u so that -2*u**5/19 + 8*u**4/19 + 6*u**3/19 - 20*u**2/19 - 16*u/19 = 0.
-1, 0, 2, 4
Factor b**3/4 + 9*b**2/2 + 15*b - 50.
(b - 2)*(b + 10)**2/4
Factor 25*x**3 + 65940*x**2 + 43467645*x - 17397610.
5*(x + 1319)**2*(5*x - 2)
Factor -2*c**4 + 16*c**3 - 34*c**2 + 20*c.
-2*c*(c - 5)*(c - 2)*(c - 1)
Let -2*f**3/3 + 2*f**2/3 + 8*f/3 - 8/3 = 0. What is f?
-2, 1, 2
Let -11224322*t**3 + 11205370*t**2 + 18944*t + 8 = 0. What is t?
-2/2369, 1
Solve 20*f**4 + 45*f**3 + 10*f**2 = 0.
-2, -1/4, 0
Solve -2*w**2/3 - 660*w - 3952/3 = 0.
-988, -2
Find k such that 3*k**4/4 - 2025*k**3/2 + 455625*k**2 - 68343750*k = 0.
0, 450
Solve 3*s**3 - 243*s = 0.
-9, 0, 9
Find z such that -2*z**4/9 + 8*z**3/3 - 20*z**2/9 - 8*z/3 + 22/9 = 0.
-1, 1, 11
Suppose 4*r**4/7 - 56*r**3 + 11220*r**2/7 - 73568*r/7 - 85184/7 = 0. What is r?
-1, 11, 44
Factor 3*l**4 + 24747*l**3 + 51022125*l**2 - 51046875*l.
3*l*(l - 1)*(l + 4125)**2
Solve q**3/7 + 12273*q**2/7 + 50208843*q/7 + 68468125571/7 = 0 for q.
-4091
Factor -j**3/5 + j**2/5 + 44*j/5 - 84/5.
-(j - 6)*(j - 2)*(j + 7)/5
Determine a, given that 2*a**2 + 32*a = 0.
-16, 0
Solve g**4/11 - 8*g**3/11 + 6*g**2/11 + 8*g/11 - 7/11 = 0 for g.
-1, 1, 7
Factor -4*j**5 - 1960*j**4 - 240100*j**3.
-4*j**3*(j + 245)**2
Factor -3*q**4/7 + 6*q**3/7 + 3*q**2/7 - 6*q/7.
-3*q*(q - 2)*(q - 1)*(q + 1)/7
Suppose -48*n**4 - 76*n**3 + 68*n**2 + 56*n = 0. What is n?
-2, -7/12, 0, 1
Suppose -y**5/2 + 2*y**4 + 14*y**3 + 16*y**2 = 0. What is y?
-2, 0, 8
Solve 942*s**2/11 - 86*s + 4/11 = 0 for s.
2/471, 1
Determine a, given that -9*a**4 + 13*a**3 + 123*a**2 + 171*a + 70 = 0.
-14/9, -1, 5
Factor -d**4/5 - 47*d**3/5 - 87*d**2/5 + 27*d.
-d*(d - 1)*(d + 3)*(d + 45)/5
Factor -5*b**2 - 4730*b - 1118645.
-5*(b + 473)**2
Factor -k**4/4 - 3*k**3/4 + 3*k**2/2 + 7*k + 6.
-(k - 3)*(k + 2)**3/4
Factor -6*q**3/7 - 20*q**2/7 - 16*q/7.
-2*q*(q + 2)*(3*q + 4)/7
Determine h so that 4*h**3 + 256*h**2 - 528*h = 0.
-66, 0, 2
Factor 2*k**2 - 232*k + 6728.
2*(k - 58)**2
Let -4*k**4 + 160*k**3 - 1556*k**2 + 1400*k = 0. What is k?
0, 1, 14, 25
Let -11*v**3 + 9*v**2 + 2*v = 0. Calculate v.
-2/11, 0, 1
Let -2*p**3 - 3*p**2/4 + 2*p + 3/4 = 0. What is p?
-1, -3/8, 1
Factor -4*u**4/15 + 14*u**3/15 + 8*u**2/15.
-2*u**2*(u - 4)*(2*u + 1)/15
Determine x, given that -x**4/3 - 3*x**3 - 7*x**2/3 + 3*x + 8/3 = 0.
-8, -1, 1
Factor 2*o**2/11 - 372*o/11 - 34.
2*(o - 187)*(o + 1)/11
Find f, given that f**2 + 290*f + 21025 = 0.
-145
Factor -h**4/6 + 49*h**3/6 - 95*h**2/6 + 47*h/6.
-h*(h - 47)*(h - 1)**2/6
Solve 33*o**2/8 - 117*o/4 + 42 = 0.
2, 56/11
Factor 2*a**5 + 50*a**4.
2*a**4*(a + 25)
Let 4*v**5 - 48*v**4 + 212*v**3 - 408*v**2 + 288*v = 0. Calculate v.
0, 2, 3, 4
Factor 2*v**4/7 + 344*v**3/7.
2*v**3*(v + 172)/7
Factor -4*a**5 - 4*a**4 + 4*a**3 + 4*a**2.
-4*a**2*(a - 1)*(a + 1)**2
Factor 5*u**5 + 35*u**4 + 75*u**3 + 45*u**2.
5*u**2*(u + 1)*(u + 3)**2
Factor z**5 - 1758*z**4 + 774397*z**3 - 1543524*z**2 + 770884*z.
z*(z - 878)**2*(z - 1)**2
Let -w**4 + 3*w**3 + 6*w**2 - 8*w = 0. What is w?
-2, 0, 1, 4
Suppose 2*p**2 - 9648*p + 11635488 = 0. What is p?
2412
Solve m**4/3 + 43*m**3/3 + 170*m**2 + 800*m/3 - 4000/3 = 0 for m.
-20, -5, 2
Find g, given that 2*g**5 + 16*g**4 - 20*g**3 - 16*g**2 + 18*g = 0.
-9, -1, 0, 1
Factor -21*y**3 + 297*y**2 - 774*y + 528.
-3*(y - 11)*(y - 2)*(7*y - 8)
Factor -y**2 + 28*y - 96.
-(y - 24)*(y - 4)
Factor -3*v**2 + 1506*v - 189003.
-3*(v - 251)**2
What is g in 3*g**2 + 105*g - 342 = 0?
-38, 3
Let 3*t**3/2 + 237*t**2/2 - 483*t/2 + 243/2 = 0. Calculate t.
-81, 1
Find y such that 9*y**5/5 + 498*y**4/5 + 4566*y**3/5 - 8856*y**2/5 + 1977*y/5 + 1806/5 = 0.
-43, -14, -1/3, 1
Solve j**2/4 - 449*j/4 + 112 = 0 for j.
1, 448
Solve t**3/4 + t**2 + t = 0 for t.
-2, 0
Factor 2*w**3 - 34*w**2 - 290*w + 322.
2*(w - 23)*(w - 1)*(w + 7)
Suppose 2*c**5/11 - 108*c**4/11 - 122*c**3/11 + 652*c**2/11 + 456*c/11 - 80 = 0. What is c?
-2, 1, 2, 55
Factor -5*v**3 + 50*v**2 - 140*v + 120.
-5*(v - 6)*(v - 2)**2
Find o, given that -5*o**3 - 15*o**2 + 140*o + 300 = 0.
-6, -2, 5
Suppose 3*y**2 + 16830*y + 23604075 = 0. Calculate y.
-2805
Factor -2*t**4 - 24*t**3 + 2*t**2 + 24*t.
-2*t*(t - 1)*(t + 1)*(t + 12)
Factor -8*h**3 + 4*h**2 + 48*h + 36.
-4*(h - 3)*(h + 1)*(2*h + 3)
Factor 2*l**5 + 12*l**4 - 16*l**3 - 12*l**2 + 14*l.
2*l*(l - 1)**2*(l + 1)*(l + 7)
Determine u so that 2*u**5/19 + 24*u**4/19 + 40*u**3/19 - 4*u**2/19 - 42*u/19 - 20/19 = 0.
-10, -1, 1
Suppose -2*h**2/11 + 12*h/11 = 0. Calculate h.
0, 6
Factor 2*y**2 - 318*y - 320.
2*(y - 160)*(y + 1)
Factor 2*i**2/5 - 172*i/5.
2*i*(i - 86)/5
Solve 3*w**2 - 4194*w + 4191 = 0 for w.
1, 1397
Factor -a**5 + 8*a**4 + 239*a**3 - 1970*a**2 - 14300*a + 121000.
-(a - 10)**3*(a + 11)**2
Find d such that 98*d**3/9 - 788*d**2/9 - 850*d/9 + 4 = 0.
-1, 2/49, 9
Factor c**3/7 - 44*c**2/7 + 361*c/7 - 102.
(c - 34)*(c - 7)*(c - 3)/7
Determine m, given that m**4/2 + 2*m**3 + 5*m**2/2 + m = 0.
-2, -1, 0
Factor 5*y**4/2 + 255*y**3/2 - 795*y**2/2 + 805*y/2 - 135.
5*(y - 1)**3*(y + 54)/2
What is g in 3*g**3/4 + 689*g**2/4 + 39445*g/4 - 13225/4 = 0?
-115, 1/3
Factor 2*j**3 - 16*j**2 + 10*j + 28.
2*(j - 7)*(j - 2)*(j + 1)
Find f, given that f**3/4 + f**2/2 + f/4 = 0.
-1, 0
Solve -v**5 + 343*v**4/4 - 291*v**3/2 - 511*v**2/4 + 293*v/2 + 42 = 0 for v.
-1, -1/4, 1, 2, 84
Find j such that j**4 - 5*j**3 - 3*j**2 + 17*j - 10 = 0.
-2, 1, 5
Factor 16*f**5 - 252*f**4 + 1236*f**3 - 2648*f**2 + 2544*f - 864.
4*(f - 9)*(f - 2)**3*(4*f - 3)
Factor 4*b**3 - 64*b**2 - 244*b + 304.
4*(b - 19)*(b - 1)*(b + 4)
Solve 2*w**3 + 14*w**2 - 48*w - 360 = 0 for w.
-6, 5
Determine z so that 2*z**2/5 - 98*z/5 - 204/5 = 0.
-2, 51
Factor a**4/5 + 2*a**3 + 5*a**2.
a**2*(a + 5)**2/5
Solve 40*m**4 - 1450*m**3 + 11355*m**2 - 2570*m - 1375 = 0.
-1/4, 1/2, 11, 25
Let 3*i**5/5 + 3*i**4 - 219*i**3 + 81*i**2 + 2332