**2 - 317*o - 942 = 0.
-314, -1, 3/5
Find x, given that -225*x**4 - 1040*x**3 - 1525*x**2 - 830*x - 120 = 0.
-12/5, -1, -2/9
Let -2*h**4/3 + 26*h**3/3 - 10*h**2 - 658*h/3 + 1960/3 = 0. What is h?
-5, 4, 7
Find d such that 2*d**3/5 + 28*d**2/5 + 98*d/5 = 0.
-7, 0
Solve -75*t**4/2 - 515*t**3/2 - 1141*t**2/6 + 173*t/6 - 1 = 0 for t.
-6, -1, 1/15
Determine h, given that -5*h**5 - 40*h**4 - 65*h**3 + 110*h**2 + 160*h - 160 = 0.
-4, -2, 1
Let f**4/4 + 25*f**3/2 + 529*f**2/4 + 228*f + 108 = 0. What is f?
-36, -12, -1
Solve -3*u**3/2 - 13527*u**2/2 - 20331081*u/2 - 10185871581/2 = 0.
-1503
Factor 4*z**3 + 608*z**2 + 22484*z - 47432.
4*(z - 2)*(z + 77)**2
Find f, given that -f**4 + 275*f**3/3 - 1712*f**2/3 + 340*f = 0.
0, 2/3, 6, 85
Factor 12*p**5 - 2910*p**4 + 938955*p**3/4 - 25037505*p**2/4 - 12695535*p/4 - 1594323/4.
3*(p - 81)**3*(4*p + 1)**2/4
Find w, given that w**4 - 9*w**3 + 21*w**2 - 19*w + 6 = 0.
1, 6
Solve -15*s**3 + 55*s**2 - 60*s + 20 = 0 for s.
2/3, 1, 2
Factor 3*i**4 + 357*i**3 - 1089*i**2 + 1095*i - 366.
3*(i - 1)**3*(i + 122)
Factor -2*s**3 + 3396*s**2 - 1922136*s + 362642992.
-2*(s - 566)**3
Solve 16*u**5 + 12*u**4 - 324*u**3 + 80*u**2 = 0.
-5, 0, 1/4, 4
Find v such that 6*v**4/5 + 32*v**3/5 + 6*v**2/5 - 92*v/5 + 48/5 = 0.
-4, -3, 2/3, 1
Solve x**4/4 + 81*x**3 + 26243*x**2/4 - 81*x - 6561 = 0.
-162, -1, 1
Factor -c**5/4 - 3*c**4/4 + 9*c**3/4 - 5*c**2/4.
-c**2*(c - 1)**2*(c + 5)/4
What is h in -3*h**3 + 81*h**2 + 819*h + 735 = 0?
-7, -1, 35
Factor -o**2/5 + 543*o/5 + 218.
-(o - 545)*(o + 2)/5
What is g in -9*g**2/7 + 30*g - 175 = 0?
35/3
Factor g**3/3 - 4*g**2 - 4*g/3 + 80.
(g - 10)*(g - 6)*(g + 4)/3
Factor l**2/5 - 423*l/5 + 422/5.
(l - 422)*(l - 1)/5
Suppose -b**3/3 - b**2/3 = 0. Calculate b.
-1, 0
Determine u so that -u**5/7 + 11*u**4/7 + 61*u**3/7 - 11*u**2/7 - 60*u/7 = 0.
-4, -1, 0, 1, 15
Determine j, given that 3*j**4/7 - 24*j**3/7 - 54*j**2 + 672*j - 1911 = 0.
-13, 7
Factor -8*t**4/5 - 8*t**3/5 + 6*t**2/5 + 4*t/5 - 2/5.
-2*(t + 1)**2*(2*t - 1)**2/5
Factor l**4/2 - 5*l**3 + 8*l**2.
l**2*(l - 8)*(l - 2)/2
Factor -p**3/2 + 3*p**2 - 9*p/2.
-p*(p - 3)**2/2
Factor o**3/4 + 109*o**2/4 + 215*o/4 + 107/4.
(o + 1)**2*(o + 107)/4
Factor 3*g**2 - 2730*g + 2727.
3*(g - 909)*(g - 1)
Suppose -5*w**5/2 + 17*w**4/2 + 17*w**3 - 38*w**2 - 28*w + 16 = 0. What is w?
-2, -1, 2/5, 2, 4
Solve w**4/3 + 46*w**3/3 + 173*w**2/3 + 212*w/3 + 28 = 0 for w.
-42, -2, -1
Factor 9*r**2/4 + 339*r/4 - 57/2.
3*(r + 38)*(3*r - 1)/4
Factor 56*r**2/5 + 534*r/5 + 26.
2*(4*r + 1)*(7*r + 65)/5
Let -m**2/7 - 33*m/7 - 32/7 = 0. Calculate m.
-32, -1
Find z such that -2*z**4/9 - 36*z**3 - 5600*z**2/3 - 238336*z/9 + 702464/3 = 0.
-56, 6
Determine b so that 3*b**5/2 - 171*b**4/2 + 2157*b**3/2 - 7701*b**2/2 - 1080*b + 3936 = 0.
-1, 1, 8, 41
Suppose -4*h**2 + 1608*h - 161604 = 0. Calculate h.
201
Suppose -1372*y**5 - 25872*y**4 + 64932*y**3 + 68008*y**2 + 20592*y + 2016 = 0. Calculate y.
-21, -2/7, 3
Factor 2*n**3 + 9*n**2 - 6*n - 5.
(n - 1)*(n + 5)*(2*n + 1)
Determine v so that 4*v**2/3 + 880*v/3 + 48400/3 = 0.
-110
Suppose 3*m**5/2 + 6*m**4 - 39*m**3/2 - 6*m**2 + 18*m = 0. What is m?
-6, -1, 0, 1, 2
Let -b**3 - 7*b**2 - 4*b + 12 = 0. What is b?
-6, -2, 1
Determine u so that -7*u**3/5 + 39*u**2/5 + 7*u/5 - 39/5 = 0.
-1, 1, 39/7
Factor 5*x**2 + 150*x + 1000.
5*(x + 10)*(x + 20)
What is m in -2*m**4/11 - 254*m**3/11 - 252*m**2/11 = 0?
-126, -1, 0
Factor v**4/2 - 49*v**3 + 2401*v**2/2.
v**2*(v - 49)**2/2
Factor -c**3/5 - 9*c**2/5 - 6*c/5 + 16/5.
-(c - 1)*(c + 2)*(c + 8)/5
Determine x so that x**4/4 + 33*x**3/2 - 287*x**2/4 - 120*x + 175 = 0.
-70, -2, 1, 5
Solve -4*s**5/5 - 192*s**4/5 + 448*s**3/5 + 448*s**2 - 7872*s/5 + 1280 = 0.
-50, -4, 2
Factor -r**2/5 - 296*r/5.
-r*(r + 296)/5
Factor -3*w**2/8 - 387*w/8 - 375/2.
-3*(w + 4)*(w + 125)/8
What is i in -2*i**5 - 26*i**4 - 112*i**3 - 160*i**2 = 0?
-5, -4, 0
Factor l**4 - 36*l**3 + 125*l**2 + 114*l - 576.
(l - 32)*(l - 3)**2*(l + 2)
Factor -2*y**3/15 - 2*y**2 - 36*y/5 - 16/3.
-2*(y + 1)*(y + 4)*(y + 10)/15
Factor y**3 + 4*y**2.
y**2*(y + 4)
Factor 2*j**3 - 84*j**2 - 2*j + 84.
2*(j - 42)*(j - 1)*(j + 1)
Factor -2*j**3/9 - 2*j**2/3 - 2*j/3 - 2/9.
-2*(j + 1)**3/9
Suppose 5*p**2/2 - 483*p/2 - 97 = 0. What is p?
-2/5, 97
Factor -3*p**2/2 + 7899*p - 20798067/2.
-3*(p - 2633)**2/2
Factor -30*c**3 + 176*c**2/3 - 82*c/3 - 4/3.
-2*(c - 1)**2*(45*c + 2)/3
Factor n**2/3 - 4*n/3 - 4.
(n - 6)*(n + 2)/3
Determine c so that -c**3 - 17*c**2 - 16*c = 0.
-16, -1, 0
Determine i so that 5*i**5 + 40*i**4 + 30*i**3 - 40*i**2 - 35*i = 0.
-7, -1, 0, 1
What is f in -f**2/2 - 6*f - 27/2 = 0?
-9, -3
Find a such that -2475*a**4 - 4940*a**3 + 17345*a**2 - 9970*a + 40 = 0.
-4, 2/495, 1
Find w, given that w**2 - 677*w - 1358 = 0.
-2, 679
Determine w so that 2*w**3/3 + 40*w**2/3 - 46*w = 0.
-23, 0, 3
Determine c, given that 2*c**4/9 + 11114*c**3/9 + 2286602*c**2 + 12683751646*c/9 - 25449909908/9 = 0.
-1853, 2
Let 5*c**5 - 95*c**4 + 75*c**3 + 275*c**2 - 80*c - 180 = 0. Calculate c.
-1, 1, 2, 18
Factor -5*x**5 - 5*x**4 + 30*x**3.
-5*x**3*(x - 2)*(x + 3)
Factor 5*z**4/2 - 435*z**3/2 + 855*z**2/2 - 425*z/2.
5*z*(z - 85)*(z - 1)**2/2
Factor t**3/8 + t**2/2 - 3*t/2.
t*(t - 2)*(t + 6)/8
Let -3*s**2 + 10164*s - 8608908 = 0. What is s?
1694
Solve -x**5 + 33*x**4 - 287*x**3 + 223*x**2 + 288*x - 256 = 0 for x.
-1, 1, 16
Find s, given that 6*s**5 + 57*s**4 + 108*s**3 + 15*s**2 - 42*s = 0.
-7, -2, -1, 0, 1/2
Find s such that s**2/3 + 76*s/3 - 52 = 0.
-78, 2
Solve 2*y**5 + 10*y**4 - 18*y**3 - 34*y**2 + 16*y + 24 = 0 for y.
-6, -1, 1, 2
Factor -2*g**4/5 + 132*g**3/5 - 1586*g**2/5 - 19536*g/5 - 43808/5.
-2*(g - 37)**2*(g + 4)**2/5
Let 3*j**3 + 126*j**2 + 123*j = 0. Calculate j.
-41, -1, 0
Let 4*o**2 + 12*o - 72 = 0. Calculate o.
-6, 3
Let -7*w**3 - 212*w**2 - 60*w = 0. Calculate w.
-30, -2/7, 0
Solve -2*t**3 - 132*t**2 - 952*t - 1392 = 0.
-58, -6, -2
Determine v so that -15*v**2 - 1370*v + 920 = 0.
-92, 2/3
Factor -62*s**4 - 182*s**3 - 174*s**2 - 50*s + 4.
-2*(s + 1)**3*(31*s - 2)
Factor -3*r**2 + 384*r - 12288.
-3*(r - 64)**2
Suppose -5*i**4 + 135*i**3 - 1140*i**2 + 3100*i - 2640 = 0. Calculate i.
2, 11, 12
Let -2*n**4 - 8*n**3 - 4*n**2 + 8*n + 6 = 0. Calculate n.
-3, -1, 1
Factor 2*d**2/5 - 78*d/5 - 16.
2*(d - 40)*(d + 1)/5
Factor 5*a**5/4 - a**4/2 - 11*a**3/4 + 2*a**2.
a**2*(a - 1)**2*(5*a + 8)/4
Find c such that -2*c**4 + 542*c**3/7 - 1384*c**2/7 + 568*c/7 + 288/7 = 0.
-2/7, 1, 2, 36
Factor o**5 - 30*o**4 + 300*o**3 - 1160*o**2 + 1920*o - 1152.
(o - 12)**2*(o - 2)**3
What is s in -10*s**3/11 - 56*s**2/11 + 42*s/11 + 360/11 = 0?
-5, -3, 12/5
Let -4*l**5 + 64*l**4/3 - 104*l**2/3 + 4*l + 40/3 = 0. Calculate l.
-1, -2/3, 1, 5
Determine c, given that -c**4 - 62*c**3 - 1020*c**2 - 1800*c = 0.
-30, -2, 0
Factor 2*u**3/13 - 8*u**2/13 - 128*u/13 + 512/13.
2*(u - 8)*(u - 4)*(u + 8)/13
Factor -4*a**3/7 + 24*a**2/7 - 36*a/7 + 16/7.
-4*(a - 4)*(a - 1)**2/7
Factor -4*i**2/7 - 352*i/7 - 7744/7.
-4*(i + 44)**2/7
Suppose 243*n**4 + 3*n**3/2 - 729*n**2 + 963*n/2 + 3 = 0. What is n?
-2, -1/162, 1
Factor -5*i**4 + 55*i**3 - 155*i**2 + 105*i.
-5*i*(i - 7)*(i - 3)*(i - 1)
Factor -3*h**4 + 162*h**3 - 1443*h**2 - 20088*h - 46128.
-3*(h - 31)**2*(h + 4)**2
Factor 35*v**4 - 395*v**3 + 1510*v**2 - 2080*v + 480.
5*(v - 4)**2*(v - 3)*(7*v - 2)
Suppose 14*m**3/5 + 116*m**2/5 + 26*m + 28/5 = 0. Calculate m.
-7, -1, -2/7
Suppose 15*n**5 - 246*n**4 - 708*n**3 - 618*n**2 - 171*n = 0. Calculate n.
-1, -3/5, 0, 19
Find g, given that 21218*g**2/3 - 412*g/3 + 2/3 = 0.
1/103
Factor -l**4 - 27*l**3 - 218*l**2 - 480*l - 288.
-(l + 1)*(l + 2)*(l + 12)**2
Determine y so that 2*y**4 - 2*y**3 - 4*y**2 = 0.
-1, 0, 2
Factor -z**2/2 + 5*z - 8.
-(z - 8)*(z - 2)/2
Let 14*m**4/3 + 220*m**3/3 + 184*m**2 - 2416*m/3 + 640/3 = 0. Calculate m.
-10, -8, 2/7, 2
Factor -20*b**2 - 10588*b + 6360.
-4*(b + 530)*(5*b - 3)
Factor 3*h**2/2 + 45*h/2 + 21.
3*(h + 1)*(h + 14)/2
Find h, given that -2*h**5/11 - 2*h**4 + 4*h**3/11 + 4*h**2 - 2*h/11 - 2 = 0.
-11, -1, 1
Factor -2*s**2/21 + 8*s/3 - 320/21.
-2*(s - 20)*(s - 8)/21
Find y, given that y**5 + 48*y**4 - 377*y**3 + 456*y**2 + 880*y = 0.
-55, -1, 0, 4
Factor -2*v**2/3 + 6*v - 40/3.
-2*(v - 5)*(v - 4)/3
Factor -21*o**4 - 39*o**3 - 15*o**2 + 3*o.
-3*o*(o + 1)**2*(7*o - 1)
What is z in -4*z