termine s so that -50*s**2/13 - 120*s/13 - 72/13 = 0.
-6/5
Factor 5*j**4 - 5*j**3 - 80*j**2 + 80*j.
5*j*(j - 4)*(j - 1)*(j + 4)
Factor -2*n**2/13 + 3344*n/13 - 1397792/13.
-2*(n - 836)**2/13
Let 6*s**4/7 + 370*s**3/7 + 3400*s**2/7 + 1000*s + 3264/7 = 0. Calculate s.
-51, -8, -2, -2/3
Factor h**3 + 2626*h**2 + 1729209*h + 6874884.
(h + 4)*(h + 1311)**2
Find u such that u**4/6 + 11*u**3/3 - 27*u**2/2 - 71*u/3 + 100/3 = 0.
-25, -2, 1, 4
Let -2*c**2/11 + 454*c/11 = 0. Calculate c.
0, 227
Suppose -q**2 + 62*q - 961 = 0. Calculate q.
31
Factor -t**4 - 60*t**3 - 386*t**2 - 804*t - 477.
-(t + 1)*(t + 3)**2*(t + 53)
Find f such that 5*f**3 + 120*f**2 + 420*f + 400 = 0.
-20, -2
Factor -2*h**2/5 + 1736*h/5 - 376712/5.
-2*(h - 434)**2/5
Factor 3*q**2 + 705*q - 2868.
3*(q - 4)*(q + 239)
Let -2*h**4/3 + 64*h**2/3 - 512/3 = 0. What is h?
-4, 4
Let 2*y**4/3 - 32*y**3 + 1402*y**2/3 - 1988*y + 2352 = 0. What is y?
2, 4, 21
Solve -2*k**3/11 - 6*k**2 - 672*k/11 - 1960/11 = 0 for k.
-14, -5
Suppose 4*w**3 - 364*w - 360 = 0. What is w?
-9, -1, 10
Find y such that 4*y**3 - 4*y**2 - 148*y - 140 = 0.
-5, -1, 7
Let -2*o**3 - 4*o**2 + 26*o - 20 = 0. What is o?
-5, 1, 2
Factor -l**5 - 32*l**4 - 221*l**3 + 578*l**2.
-l**2*(l - 2)*(l + 17)**2
Determine t so that -5*t**3/3 - 125*t**2/3 - 715*t/3 + 845/3 = 0.
-13, 1
Factor -2*g**3/9 + 2*g**2 - 16*g/9.
-2*g*(g - 8)*(g - 1)/9
Determine p so that 3*p**3 - 6*p**2 - 93*p - 84 = 0.
-4, -1, 7
What is a in 3*a**3 - 81*a**2 + 153*a - 75 = 0?
1, 25
Suppose -2*s**3 + 298*s**2 - 1166*s + 870 = 0. What is s?
1, 3, 145
Suppose 6*s**4/7 - 20*s**3/7 + 24*s**2/7 - 12*s/7 + 2/7 = 0. Calculate s.
1/3, 1
Suppose b**3/6 - 217*b**2/3 - b/6 + 217/3 = 0. Calculate b.
-1, 1, 434
Solve -12*s**2 + 51*s - 12 = 0 for s.
1/4, 4
Factor 2*y**4/5 + 134*y**3/5 + 2432*y**2/5 + 6144*y/5.
2*y*(y + 3)*(y + 32)**2/5
Determine n, given that 5*n**2 + 65*n + 60 = 0.
-12, -1
Factor -3*s**4/7 + 24*s**3/7 - 9*s**2 + 54*s/7.
-3*s*(s - 3)**2*(s - 2)/7
Let -5*o**3 - 125*o**2 - 340*o - 220 = 0. What is o?
-22, -2, -1
Solve -h**5/6 + h**4/3 + 7*h**3 - 22*h**2/3 - 41*h/6 + 7 = 0.
-6, -1, 1, 7
Factor 4*c**4/7 + 20*c**3/7 - 16*c**2/7 - 176*c/7 - 192/7.
4*(c - 3)*(c + 2)**2*(c + 4)/7
What is z in -z**4/8 + 59*z**3/8 + 255*z**2/8 - 171*z/8 - 567/4 = 0?
-3, 2, 63
Factor -x**2/6 + 397*x/6.
-x*(x - 397)/6
Factor -21*a**3 - 417*a**2 + 984*a - 132.
-3*(a - 2)*(a + 22)*(7*a - 1)
Let t**2/2 + 3*t/2 + 1 = 0. What is t?
-2, -1
Factor -4*z**4 - 64*z**3 - 156*z**2 + 16*z + 208.
-4*(z - 1)*(z + 2)**2*(z + 13)
Solve 2*y**4/9 - 11090*y**3/9 + 2277968*y**2 - 1404746112*y + 1402469376 = 0.
1, 1848
Factor 33*u**3 + 105*u**2 - 114*u - 24.
3*(u - 1)*(u + 4)*(11*u + 2)
Factor -5*h**4 + 30*h**3 - 25*h**2 - 60*h.
-5*h*(h - 4)*(h - 3)*(h + 1)
Factor 5*b**4 - 35*b**3 - 40*b**2.
5*b**2*(b - 8)*(b + 1)
Factor -200*x**2/3 + 20*x/3 - 1/6.
-(20*x - 1)**2/6
Let 56*i**4 + 1374*i**3 + 8788*i**2 + 4416*i + 576 = 0. Calculate i.
-12, -2/7, -1/4
Determine j, given that j**3/8 + 21*j**2/2 + 165*j/8 + 41/4 = 0.
-82, -1
Factor -w**3/4 + 5*w**2/4 - w.
-w*(w - 4)*(w - 1)/4
What is p in 10*p**2/9 - 466*p/9 - 188/9 = 0?
-2/5, 47
Let 2*g**4 - 144*g**3 + 2436*g**2 + 5920*g - 8214 = 0. What is g?
-3, 1, 37
Solve -2*z**2/9 - 92*z/9 = 0 for z.
-46, 0
Factor -4*j**4 - 4*j**3 + 20*j**2 - 12*j.
-4*j*(j - 1)**2*(j + 3)
Factor n**2/8 - 25*n.
n*(n - 200)/8
Determine h, given that 2*h**5 - 70*h**4 + 404*h**3 + 3824*h**2 + 2240*h - 6400 = 0.
-4, -2, 1, 20
Determine h so that 5*h**2/4 - 6665*h/2 - 13335/4 = 0.
-1, 2667
Factor 2*z**4 - 44*z**3 + 120*z**2 - 116*z + 38.
2*(z - 19)*(z - 1)**3
Factor -2*o**2/7 - 74*o.
-2*o*(o + 259)/7
Factor -164*z**4 + 316*z**3 - 140*z**2 - 12*z.
-4*z*(z - 1)**2*(41*z + 3)
Determine w so that 2*w**5/13 - 72*w**4/13 + 264*w**3/13 - 256*w**2/13 = 0.
0, 2, 32
Solve -5*b**4 + 40*b**3 + 55*b**2 - 90*b = 0.
-2, 0, 1, 9
Let d**5/12 + 5*d**4/12 - 17*d**3/12 - 121*d**2/12 - 50*d/3 - 25/3 = 0. Calculate d.
-5, -2, -1, 5
Factor -8*t**5 - 166*t**4 - 120*t**3.
-2*t**3*(t + 20)*(4*t + 3)
Suppose -g**4/2 - 24*g**3 + g**2/2 + 24*g = 0. Calculate g.
-48, -1, 0, 1
Factor -5*w**2 + 435*w - 1260.
-5*(w - 84)*(w - 3)
Let 4*r**4/9 - 640*r**3/3 + 1912*r**2/9 + 640*r/3 - 1916/9 = 0. What is r?
-1, 1, 479
Factor f**3 - 89*f**2 - f + 89.
(f - 89)*(f - 1)*(f + 1)
Factor -3*d**3 - 267*d**2 - 1032*d - 1020.
-3*(d + 2)**2*(d + 85)
Solve c**5/2 + 9*c**4/2 + 29*c**3/2 + 39*c**2/2 + 9*c = 0 for c.
-3, -2, -1, 0
Factor 2*q**2/5 + 120*q + 9000.
2*(q + 150)**2/5
Solve 4*x**5 - 16*x**4 - 1804*x**3 - 12584*x**2 = 0.
-11, 0, 26
Factor -c**2/5 - 2*c/5 + 3.
-(c - 3)*(c + 5)/5
Factor 2*j**4/7 + 178*j**3/7 + 434*j**2 - 6174*j.
2*j*(j - 9)*(j + 49)**2/7
Factor 2*c**2/3 - 2/3.
2*(c - 1)*(c + 1)/3
Suppose k**4/3 - 112*k**3/3 - 827*k**2/3 - 238*k = 0. Calculate k.
-6, -1, 0, 119
Determine p, given that -p**5 + 2*p**4 + 3*p**3 = 0.
-1, 0, 3
Determine m, given that -10*m**5 - 24*m**4 - 8*m**3 + 20*m**2 + 18*m + 4 = 0.
-1, -2/5, 1
Factor 5*l**2/6 + 5*l/6.
5*l*(l + 1)/6
Factor -2*g**4 + 36*g**3 + 270*g**2 + 432*g.
-2*g*(g - 24)*(g + 3)**2
Suppose 2*s**2 + 734*s - 1476 = 0. Calculate s.
-369, 2
Factor -12*m**2 - 268*m/3 + 168.
-4*(m + 9)*(9*m - 14)/3
Factor 320*k**3/7 + 928*k**2/7 - 524*k/7 + 68/7.
4*(4*k - 1)**2*(5*k + 17)/7
Determine u so that 4*u**3 - 172*u**2 + 1436*u + 1612 = 0.
-1, 13, 31
Find y, given that -2*y**3/3 + 12*y**2 - 54*y + 72 = 0.
3, 12
Let 7*o**3/5 + o**2 - 86*o/5 + 24/5 = 0. Calculate o.
-4, 2/7, 3
Let 2*x**5/3 + 26*x**4/3 + 40*x**3 + 232*x**2/3 + 160*x/3 = 0. What is x?
-5, -4, -2, 0
Solve x**3 - 72*x**2 - 2548*x = 0 for x.
-26, 0, 98
Solve 5*n**2 + 1800*n + 1795 = 0 for n.
-359, -1
Factor 2*o**4 + 28*o**3 + 98*o**2 + 72*o.
2*o*(o + 1)*(o + 4)*(o + 9)
Factor -3*n**3 + 33*n**2 - 57*n + 27.
-3*(n - 9)*(n - 1)**2
Factor -30*k**5 - 51*k**4 + 18*k**3.
-3*k**3*(k + 2)*(10*k - 3)
Find q such that -2*q**5/9 - 16*q**4/9 - 16*q**3/3 - 68*q**2/9 - 46*q/9 - 4/3 = 0.
-3, -2, -1
Factor -11*z**2/3 + 163*z/3 + 10.
-(z - 15)*(11*z + 2)/3
Find p such that -2*p**4 - 256*p**3/5 - 806*p**2/5 - 296*p/5 + 264/5 = 0.
-22, -3, -1, 2/5
Factor -5*o**4 + 75*o**3 - 305*o**2 + 105*o + 490.
-5*(o - 7)**2*(o - 2)*(o + 1)
Determine v, given that 2*v**4 + 292*v**3 + 10362*v**2 - 21608*v + 10952 = 0.
-74, 1
Solve 4*q**5 + 468*q**4 - 952*q**3 = 0.
-119, 0, 2
Factor x**4/3 + 8*x**3/3 - x**2 - 22*x/3 + 16/3.
(x - 1)**2*(x + 2)*(x + 8)/3
What is u in 3*u**4/2 + 7*u**3/2 - 11*u**2 - 4*u = 0?
-4, -1/3, 0, 2
Factor k**4/5 + 79*k**3/5 + 31*k**2 + 77*k/5.
k*(k + 1)**2*(k + 77)/5
Find u such that -u**4 + 235*u**3 - 463*u**2 - 699*u = 0.
-1, 0, 3, 233
Let -38307*a**3 - 40341*a**2 - 2061*a - 27 = 0. Calculate a.
-1, -3/113
Factor -2*i**2 - 88*i + 384.
-2*(i - 4)*(i + 48)
Find r, given that r**5 + 6*r**4 + 9*r**3 - 4*r**2 - 12*r = 0.
-3, -2, 0, 1
What is i in -2*i**3/5 - 2*i**2 + 146*i/5 + 154/5 = 0?
-11, -1, 7
Let -n**2 - 8*n + 20 = 0. Calculate n.
-10, 2
Suppose -n**2/9 - 14*n/9 = 0. Calculate n.
-14, 0
What is a in 2*a**4/7 - 464*a**3/7 + 26910*a**2/7 + 464*a/7 - 26912/7 = 0?
-1, 1, 116
Factor 6*j**3/5 - 142*j**2/5 + 432*j/5 + 32.
2*(j - 20)*(j - 4)*(3*j + 1)/5
Find j, given that -3*j**5/2 - 9*j**4/2 + 51*j**3/2 + 261*j**2/2 + 192*j + 90 = 0.
-3, -2, -1, 5
Find f such that f**2/10 - 3*f/2 - 8/5 = 0.
-1, 16
What is t in t**2/3 + 1340*t/3 + 448900/3 = 0?
-670
Determine d so that -2*d**4/7 - 10*d**3/7 - 2*d**2/7 + 6*d + 36/7 = 0.
-3, -1, 2
Factor -21*q**3/8 - 195*q**2/8 - 87*q/2 - 21/2.
-3*(q + 2)*(q + 7)*(7*q + 2)/8
Find q such that 84*q**2 - 208*q + 124 = 0.
1, 31/21
Determine r so that 2*r**3/15 + 844*r**2/3 + 740608*r/5 - 1486848/5 = 0.
-1056, 2
Factor 3*t**2 - 93*t.
3*t*(t - 31)
Determine r so that 3*r**3 - 30*r**2 + 93*r - 90 = 0.
2, 3, 5
Find m such that -m**2/2 - 19*m = 0.
-38, 0
Suppose -5*v**5 - 315*v**4 - 1495*v**3 - 2645*v**2 - 2040*v - 580 = 0. Calculate v.
-58, -2, -1
Factor -5*p**4/2 + 25*p**3 + 60*p**2.
-5*p**2*(p - 12)*(p + 2)/2
Solve 14*u**5 - 248*u**4 - 72*u**3 = 0 for u.
-2/7, 0, 18
Let -4*t**5/7 + 1116*t**4/7 - 2216*t**3/7 - 8*t**2/7 + 2220*t/7 - 1108/7 = 0. What is t?
-1, 1, 277
What is s in s**4/5 + 21*s**3/5 - 81*s**2/5 - 189*s/5 + 648/5 = 0?
-24, -3, 3
Factor -2*o**2/5 - 904*o/5 - 102152/5.
-2*(o + 226)**2/5
Suppose 4*z**2 + 34*z + 16 = 0. What is z?
