- 510)*(b - 1)
Solve -3*r**5 - 36*r**4/5 + 3*r**3/5 + 36*r**2/5 + 12*r/5 = 0 for r.
-2, -1, -2/5, 0, 1
Find k such that 8*k**4/13 - 114*k**3/13 - 354*k**2/13 + 506*k + 5082/13 = 0.
-7, -3/4, 11
Determine k so that -9*k**5/5 - 141*k**4/5 - 207*k**3/5 + 57*k**2/5 + 216*k/5 + 84/5 = 0.
-14, -1, -2/3, 1
Determine n, given that n**4/3 - 3*n**3/2 + 7*n**2/3 - 3*n/2 + 1/3 = 0.
1/2, 1, 2
Let 2*y**3 + 40*y**2 + 234*y + 324 = 0. Calculate y.
-9, -2
Find s such that 2*s**4/9 - 46*s**3/9 + 28*s**2/3 = 0.
0, 2, 21
Factor -3*t**4/7 - 3*t**3/7 + 30*t**2/7 - 24*t/7.
-3*t*(t - 2)*(t - 1)*(t + 4)/7
Factor 2*i**3 + 16*i**2 - 458*i + 440.
2*(i - 11)*(i - 1)*(i + 20)
Let -o**4/3 + 53*o**3/3 - 437*o**2/3 - 1037*o/3 - 182 = 0. Calculate o.
-1, 13, 42
Factor n**4/3 + 2*n**3 + 8*n**2/3 - 2*n - 3.
(n - 1)*(n + 1)*(n + 3)**2/3
Find p such that 2*p**5/7 + 20*p**4/7 - 86*p**3/7 - 512*p**2/7 - 696*p/7 - 288/7 = 0.
-12, -2, -1, 6
Determine m so that 18*m**5 - 1572*m**4 + 476*m**3 + 3976*m**2 + 2258*m + 348 = 0.
-1, -1/3, 2, 87
Factor 2*a**4/3 + 2*a**3/3 - 232*a**2/3 - 320*a.
2*a*(a - 12)*(a + 5)*(a + 8)/3
Factor 4*n**3 - 4*n**2 - 728*n.
4*n*(n - 14)*(n + 13)
Determine f so that -f**3 - 25*f**2 + 82*f - 56 = 0.
-28, 1, 2
Factor -1445*i**3 - 4420*i**2 - 3465*i - 810.
-5*(i + 2)*(17*i + 9)**2
Suppose 3*h**2/4 - 5997*h/4 - 1500 = 0. Calculate h.
-1, 2000
Factor -4*m**2 + 204*m - 1640.
-4*(m - 41)*(m - 10)
Factor m**4 + 34*m**3 - 36*m**2 - 34*m + 35.
(m - 1)**2*(m + 1)*(m + 35)
Solve 2*s**2 + 2892*s + 1045458 = 0.
-723
Factor 9*c**2/4 + 183*c/2 - 126.
3*(c + 42)*(3*c - 4)/4
Let -2*o**2/3 + 52*o/3 - 50/3 = 0. Calculate o.
1, 25
Suppose 2*x**5/3 - 32*x**4/3 + 160*x**3/3 - 256*x**2/3 = 0. What is x?
0, 4, 8
Factor 80*b**5 + 2520*b**4 - 1275*b**3 + 160*b**2.
5*b**2*(b + 32)*(4*b - 1)**2
Let 2*z**5/3 - 8*z**4 - 56*z**3/3 - 4*z**2/3 + 18*z + 28/3 = 0. What is z?
-1, 1, 14
Factor b**3 - 13*b**2 + 22*b.
b*(b - 11)*(b - 2)
Factor -2*v**4/17 + 74*v**3/17 - 72*v**2/17.
-2*v**2*(v - 36)*(v - 1)/17
Determine r, given that -2*r**2 - 1296*r - 209952 = 0.
-324
Factor v**4/5 + 13*v**3/5 + 23*v**2/5 + 11*v/5.
v*(v + 1)**2*(v + 11)/5
Factor 11*l**3 - 9*l**2 - 68*l - 12.
(l - 3)*(l + 2)*(11*l + 2)
Factor f**4 + 6*f**3 + 9*f**2 - 4*f - 12.
(f - 1)*(f + 2)**2*(f + 3)
Suppose -5*i**2 - 215*i - 780 = 0. What is i?
-39, -4
Factor j**4/4 - 115*j**3/4.
j**3*(j - 115)/4
Factor i**4/9 + 32*i**3/9 - 16*i**2.
i**2*(i - 4)*(i + 36)/9
Find r such that 2*r**5/19 - 2*r**4/19 - 6*r**3/19 + 10*r**2/19 - 4*r/19 = 0.
-2, 0, 1
Factor 5*a**4 - 20*a**3 - 105*a**2 - 20*a + 140.
5*(a - 7)*(a - 1)*(a + 2)**2
Suppose 5*o**3 + 50*o**2 - 20*o - 200 = 0. What is o?
-10, -2, 2
Suppose -2*y**2/3 + 200*y/3 - 5000/3 = 0. Calculate y.
50
Factor o**5 - 45*o**4 + 418*o**3 - 642*o**2 - 2723*o - 1617.
(o - 33)*(o - 7)**2*(o + 1)**2
Suppose -9*v**4/2 + 30*v**3 + 21*v**2/2 = 0. Calculate v.
-1/3, 0, 7
Solve 2*n**2 + 40*n + 72 = 0.
-18, -2
Factor 4*h**5 - 24*h**4 + 36*h**3 + 16*h**2 - 48*h.
4*h*(h - 3)*(h - 2)**2*(h + 1)
Factor 2*i**3/3 - 4*i**2 - 8*i/3 + 16.
2*(i - 6)*(i - 2)*(i + 2)/3
Factor -y**3/7 + 71*y**2/7 + y/7 - 71/7.
-(y - 71)*(y - 1)*(y + 1)/7
Factor 3*d**2/4 - 2484*d + 2056752.
3*(d - 1656)**2/4
Let h**3/7 + 281*h**2/7 + 2840*h + 2800 = 0. Calculate h.
-140, -1
Suppose -4*t**5 + 220*t**4 - 3328*t**3 + 8112*t**2 = 0. Calculate t.
0, 3, 26
Find v such that v**4 - 139*v**3 + 1307*v**2 - 2201*v + 1032 = 0.
1, 8, 129
Find r, given that -5*r**3 + 235*r**2 - 230*r = 0.
0, 1, 46
Factor -2*h**3/11 + 194*h**2/11 + 196*h/11.
-2*h*(h - 98)*(h + 1)/11
Find w such that w**3/2 - 309*w**2/2 + 154*w = 0.
0, 1, 308
Let 3*f**4/2 + 267*f**3 + 26283*f**2/2 + 112140*f + 264600 = 0. Calculate f.
-84, -5
Factor 2*f**4/3 - 631*f**3/6 + 157*f**2/2.
f**2*(f - 157)*(4*f - 3)/6
Factor -5*f**4 - 210*f**3 - 540*f**2 + 1730*f - 975.
-5*(f - 1)**2*(f + 5)*(f + 39)
Factor -2*o**2/5 - 37*o/5 - 18/5.
-(o + 18)*(2*o + 1)/5
Find p such that -p**2/4 + 203*p - 811/4 = 0.
1, 811
Factor 3*g**2 + 2241*g - 4494.
3*(g - 2)*(g + 749)
Factor 3*q**5 - 9*q**4/4 - 45*q**3/4 + 69*q**2/4 - 27*q/4.
3*q*(q - 1)**3*(4*q + 9)/4
Solve -10*t**5 + 126*t**4 - 68*t**3 - 48*t**2 = 0.
-2/5, 0, 1, 12
Solve 3*r**5/4 + 105*r**4/2 + 474*r**3 + 2937*r**2/2 + 6885*r/4 + 675 = 0 for r.
-60, -5, -3, -1
Find j, given that j**3/7 - 5*j**2/7 - 8*j/7 + 12/7 = 0.
-2, 1, 6
Factor -3*y**2 + 30*y - 48.
-3*(y - 8)*(y - 2)
Determine v, given that -5*v**2 + 235*v - 450 = 0.
2, 45
Let -4*v**5/3 - 4*v**4 + 20*v**3/3 + 36*v**2 + 128*v/3 + 16 = 0. Calculate v.
-2, -1, 3
Suppose j**4 + 430*j**3 + 45793*j**2 - 92880*j + 46656 = 0. Calculate j.
-216, 1
Let 5*x**3 + 57585*x**2 + 221068815*x + 282894393595 = 0. What is x?
-3839
Factor -4*r**3/5 + 336*r**2/5 - 748*r + 3408/5.
-4*(r - 71)*(r - 12)*(r - 1)/5
Factor -5*b**3 + 2325*b**2 - 271440*b + 269120.
-5*(b - 232)**2*(b - 1)
Factor 2*g**2/13 + 28*g/13.
2*g*(g + 14)/13
Determine p so that 147*p**3 + 504*p**2 - 324*p + 48 = 0.
-4, 2/7
Let -2*o**4/9 - 32*o**3/3 - 442*o**2/3 - 4136*o/9 - 968/3 = 0. What is o?
-22, -3, -1
Suppose -2*f**5/7 + 86*f**4/7 - 1222*f**3/7 + 5746*f**2/7 = 0. What is f?
0, 13, 17
Factor -2*q**2/9 - 4*q/9 + 2/3.
-2*(q - 1)*(q + 3)/9
Suppose -92*w**4 - 268*w**3 + 360*w**2 = 0. Calculate w.
-90/23, 0, 1
Find m, given that m**2 - 931*m = 0.
0, 931
Suppose -v**3/4 + 77*v**2/4 - 1591*v/4 + 4107/4 = 0. Calculate v.
3, 37
Factor 4*i**4/5 - 84*i**2/5 - 16*i.
4*i*(i - 5)*(i + 1)*(i + 4)/5
Factor 105*o**2 + 220*o + 20.
5*(o + 2)*(21*o + 2)
Factor x**4/4 + 71*x**3/4 - 18*x**2.
x**2*(x - 1)*(x + 72)/4
Factor -f**2 - 112*f - 432.
-(f + 4)*(f + 108)
Find t such that -2*t**3/3 + 76*t**2/3 - 832*t/3 + 2816/3 = 0.
8, 22
Factor 4*a**2 + 4344*a + 1179396.
4*(a + 543)**2
Factor 2*m**4/5 + 6*m**3/5 - 6*m**2/5 - 14*m/5 + 12/5.
2*(m - 1)**2*(m + 2)*(m + 3)/5
Factor -3*p**3/8 + 27*p**2/2 - 207*p/8 + 51/4.
-3*(p - 34)*(p - 1)**2/8
Find i, given that -6*i**2 + 406*i - 268 = 0.
2/3, 67
Factor 2*y**4/9 - 8*y**3/3 + 86*y**2/9 - 40*y/3 + 56/9.
2*(y - 7)*(y - 2)**2*(y - 1)/9
Let 5*u**2 - 990*u + 49005 = 0. What is u?
99
Suppose 9*t**3/8 + 29*t**2/8 + 3*t + 1/2 = 0. What is t?
-2, -1, -2/9
Solve 2*a**3 - 6*a**2 + 4*a = 0.
0, 1, 2
Solve m**5/6 + 55*m**4/3 + 2150*m**3/3 + 34340*m**2/3 + 184960*m/3 + 314432/3 = 0 for m.
-34, -4
Factor -5*u**4/6 - 25*u**3/3 - 115*u**2/6 - 35*u/3.
-5*u*(u + 1)*(u + 2)*(u + 7)/6
Factor 2*c**4 - 22*c**3 + 38*c**2 - 18*c.
2*c*(c - 9)*(c - 1)**2
Suppose -4*f**2/7 + 736*f/7 - 208 = 0. Calculate f.
2, 182
Determine x so that 3*x**5 - 579*x**4 + 30357*x**3 - 227949*x**2 - 30360*x + 228528 = 0.
-1, 1, 9, 92
Determine c so that -4*c**2/5 - 728*c/5 - 2148/5 = 0.
-179, -3
Suppose 17*k**4 + 12*k**3 - 39*k**2 + 10*k = 0. What is k?
-2, 0, 5/17, 1
Factor 2*o**3/9 + 8*o**2/3 + 82*o/9 + 20/3.
2*(o + 1)*(o + 5)*(o + 6)/9
What is p in 2*p**2/5 + 1268*p/5 + 200978/5 = 0?
-317
Let -2*f**5 - 54*f**4 - 486*f**3 - 1754*f**2 - 2256*f - 936 = 0. Calculate f.
-13, -6, -1
Let c**3 + 38*c**2 + 69*c - 108 = 0. What is c?
-36, -3, 1
Suppose 25*z**5 + 85*z**4 + 80*z**3 + 20*z**2 = 0. What is z?
-2, -1, -2/5, 0
Factor -4*f**3/7 - 60*f**2/7 - 104*f/7.
-4*f*(f + 2)*(f + 13)/7
Find q, given that 4*q**4 + 12*q**3 - 248*q**2 + 384*q + 640 = 0.
-10, -1, 4
Factor -c**2 - 122*c - 2992.
-(c + 34)*(c + 88)
Factor 5*l**2 - 355*l.
5*l*(l - 71)
Let 2*b**2 + 178*b + 516 = 0. What is b?
-86, -3
Solve -7*v**5 + 124*v**4 - 699*v**3 + 1414*v**2 - 544*v - 288 = 0.
-2/7, 1, 4, 9
Determine f so that -25*f**4/4 + 1415*f**3/2 - 78949*f**2/4 - 16131*f - 3249 = 0.
-2/5, 57
Find x, given that 5*x**3 + 330*x**2 - 1805*x - 2130 = 0.
-71, -1, 6
Factor 5*m**2 + 45*m + 90.
5*(m + 3)*(m + 6)
Find j such that 14*j**5 - 139*j**4/2 - 371*j**3/2 - 199*j**2/2 + 19*j/2 + 7 = 0.
-1, -2/7, 1/4, 7
Solve 3*g**5/2 - 30*g**4 - 9*g**3/8 + 183*g**2/8 - 15*g/2 = 0.
-1, 0, 1/2, 20
Factor 3*l**3 - 9*l**2 - 48*l + 144.
3*(l - 4)*(l - 3)*(l + 4)
Factor -3*u**2/7 - 225*u/7 - 648/7.
-3*(u + 3)*(u + 72)/7
Factor 2*n**4 + 10*n**3 + 6*n**2 - 18*n.
2*n*(n - 1)*(n + 3)**2
Determine p so that 4*p**4 + 58*p**3 + 284*p**2 + 512*p + 192 = 0.
-6, -4, -1/2
Factor -w**4/7 + 5*w**3/7.
-w**3*(w - 5)/7
Suppose -4*g**3 - 84*g**2 - 156*g - 76 = 0. Calculate g.
-19, -1
Factor -m**2/6 + 4727*m/3 - 22344529/6.
-(m - 4727)**2/6
Suppose -v**3 + 48*v