culate g.
-27, -10
Factor 5*t**5/3 - 1370*t**4/3 + 2725*t**3/3 - 1360*t**2/3.
5*t**2*(t - 272)*(t - 1)**2/3
Let 3*z**3/2 + 339*z**2/4 + 165*z/4 - 42 = 0. Calculate z.
-56, -1, 1/2
Factor -2*f**5/13 - 14*f**4/13 - 30*f**3/13 - 18*f**2/13.
-2*f**2*(f + 1)*(f + 3)**2/13
Find y, given that 2*y**4 + 38*y**3 - 14*y**2 - 254*y + 228 = 0.
-19, -3, 1, 2
Determine p, given that -2*p**2/13 + 10*p/13 + 352/13 = 0.
-11, 16
Factor x**2/2 - 22*x - 46.
(x - 46)*(x + 2)/2
Let -5*r**4 - 35*r**3 - 55*r**2 - 25*r = 0. Calculate r.
-5, -1, 0
Determine w so that w**2/3 - 542*w/3 - 181 = 0.
-1, 543
Factor -5*m**2 + 430*m - 9245.
-5*(m - 43)**2
Solve 5*b**4 + 1125*b**3 - 1135*b**2 - 1125*b + 1130 = 0.
-226, -1, 1
Factor -2*y**2 + 318*y - 628.
-2*(y - 157)*(y - 2)
Determine j, given that j**4 - 13*j**3 + 12*j**2 + 256*j - 256 = 0.
-4, 1, 8
Suppose g**2 + 78*g = 0. What is g?
-78, 0
Factor z**4 - 6*z**3 - 7*z**2.
z**2*(z - 7)*(z + 1)
Solve r**4 + r**3 - 2*r**2 = 0.
-2, 0, 1
Determine n, given that 8*n**3 - 1439*n**2 - 1628*n - 181 = 0.
-1, -1/8, 181
Factor -2*h**5 + 176*h**4/13 - 444*h**3/13 + 536*h**2/13 - 314*h/13 + 72/13.
-2*(h - 1)**4*(13*h - 36)/13
Find l such that 2*l**2 - 1448*l + 262088 = 0.
362
Solve -2*q**5 - 18*q**4 - 44*q**3 + 24*q**2 + 208*q + 192 = 0 for q.
-4, -3, -2, 2
Factor -m**4 + 288*m**3 - 20736*m**2.
-m**2*(m - 144)**2
Factor j**5 + 6*j**4 - 3*j**3 - 56*j**2 - 12*j + 144.
(j - 2)**2*(j + 3)**2*(j + 4)
Let -33*m**3 - 291*m**2 - 210*m + 48 = 0. Calculate m.
-8, -1, 2/11
Determine q so that -3*q**4 - 57*q**3 - 105*q**2 - 51*q = 0.
-17, -1, 0
Let 3*h**5 - 135*h**4 + 261*h**3 - 129*h**2 = 0. What is h?
0, 1, 43
Solve -m**2 + 161*m - 474 = 0.
3, 158
Factor -2*h**2 - 102*h.
-2*h*(h + 51)
Suppose l**2 - 8890*l + 19758025 = 0. Calculate l.
4445
Suppose -m**3 - 176*m**2 - 349*m - 174 = 0. What is m?
-174, -1
Let -10*a**3 + 6*a**2 + 24*a + 8 = 0. What is a?
-1, -2/5, 2
Factor -c**4/3 + 8*c**3/3 - 7*c**2 + 6*c.
-c*(c - 3)**2*(c - 2)/3
Solve -3*p**5 + 36*p**4 - 117*p**3 + 24*p**2 + 180*p = 0.
-1, 0, 2, 5, 6
Suppose -2*h**4 - 12*h**3 + 258*h**2 - 212*h - 480 = 0. Calculate h.
-15, -1, 2, 8
Let -3*a**2 - 18*a - 24 = 0. Calculate a.
-4, -2
Factor 3*o**2 + 219*o + 426.
3*(o + 2)*(o + 71)
Factor -5*r**3/3 + 306*r**2 + 371*r/3 - 184.
-(r - 184)*(r + 1)*(5*r - 3)/3
Factor 4*i**5 + 20*i**4 + 24*i**3 - 16*i**2 - 32*i.
4*i*(i - 1)*(i + 2)**3
Find p, given that 2*p**3/7 - 208*p**2/7 + 206*p/7 = 0.
0, 1, 103
Factor -4*i**2/3 + 28*i/3 + 192.
-4*(i - 16)*(i + 9)/3
Factor -14*c**2/11 + 20*c/11 - 6/11.
-2*(c - 1)*(7*c - 3)/11
Suppose -14*u**5/3 - 32*u**4/3 + 202*u**3/3 + 20*u**2 = 0. Calculate u.
-5, -2/7, 0, 3
Suppose 2*p**3/23 + 546*p**2/23 + 38070*p/23 + 109350/23 = 0. What is p?
-135, -3
What is v in -4*v**5 + 16*v**4 - 20*v**3 + 8*v**2 = 0?
0, 1, 2
What is o in 26*o**2/15 + 1102*o/5 + 508/15 = 0?
-127, -2/13
Factor -g**4 - 288*g**3 - 287*g**2.
-g**2*(g + 1)*(g + 287)
Solve -2*v**5 + 170*v**4/3 + 2038*v**3/9 + 2338*v**2/9 + 956*v/9 + 128/9 = 0.
-2, -1, -1/3, 32
Factor -q**3/5 - 16*q**2/5 + 132*q/5.
-q*(q - 6)*(q + 22)/5
Solve 2*g**4 + 44*g**3 - 46*g**2 = 0 for g.
-23, 0, 1
Factor -5*s**4 + 155*s**2 - 150*s.
-5*s*(s - 5)*(s - 1)*(s + 6)
Factor -2*f**3/19 + 2*f**2/19 + 8*f/19 - 8/19.
-2*(f - 2)*(f - 1)*(f + 2)/19
Solve 5*a**3 + 45*a**2 - 405*a + 675 = 0 for a.
-15, 3
Suppose -140*d**2 + 76*d - 8 = 0. Calculate d.
1/7, 2/5
What is a in -2*a**3/7 - 2314*a**2/7 - 9232*a/7 - 9224/7 = 0?
-1153, -2
Factor 28*g**4 - 239*g**3 + 311*g**2 - 70*g.
g*(g - 7)*(4*g - 5)*(7*g - 2)
Let -57*l**2 + 3414*l + 360 = 0. Calculate l.
-2/19, 60
Determine z so that 49*z**3/3 - 413*z**2/3 - 248*z/3 - 12 = 0.
-2/7, 9
Factor n**2/2 - 339*n/2 + 169.
(n - 338)*(n - 1)/2
Factor -d**4/6 + 5*d**3/6 - 2*d**2/3.
-d**2*(d - 4)*(d - 1)/6
Factor 4*g**2 + 4452*g - 4456.
4*(g - 1)*(g + 1114)
Factor 18*h**2/11 - 48*h/11 - 18/11.
6*(h - 3)*(3*h + 1)/11
Let -4*t**5/5 - 108*t**4/5 + 100*t**3 + 108*t**2/5 - 496*t/5 = 0. What is t?
-31, -1, 0, 1, 4
Suppose 3*p**3/4 - 531*p**2/4 + 5940*p - 5808 = 0. Calculate p.
1, 88
Factor -f**5 + 4*f**3.
-f**3*(f - 2)*(f + 2)
Determine q, given that -2*q**3 - 50*q**2 - 48*q = 0.
-24, -1, 0
Find x such that -4*x**4 - 7*x**3 - 2*x**2 + x = 0.
-1, 0, 1/4
Find s, given that 12*s**5/5 - 57*s**4/5 + 93*s**3/5 - 57*s**2/5 + 3*s/5 + 6/5 = 0.
-1/4, 1, 2
Factor -4*p**2/5 - 3472*p - 3767120.
-4*(p + 2170)**2/5
Solve -4*u**5 + 11*u**4 + 39*u**3 + 29*u**2 + 5*u = 0.
-1, -1/4, 0, 5
Let -2*c**5/5 + 68*c**4/5 - 188*c**3/5 + 56*c**2/5 + 38*c - 124/5 = 0. What is c?
-1, 1, 2, 31
Factor 2*i**3/3 - 388*i**2/3 - 782*i/3 - 392/3.
2*(i - 196)*(i + 1)**2/3
Determine u, given that u**3 - 6*u**2 + 12*u - 8 = 0.
2
Factor -12*d**2/7 - 232*d/7 + 160/7.
-4*(d + 20)*(3*d - 2)/7
Solve 2*s**5/13 - 28*s**4/13 + 144*s**3/13 - 324*s**2/13 + 270*s/13 = 0 for s.
0, 3, 5
Factor 2*r**3 + 62*r**2 + 448*r - 512.
2*(r - 1)*(r + 16)**2
Factor r**2/5 + 442*r + 244205.
(r + 1105)**2/5
Solve -2*f**5 - 12*f**4 - 18*f**3 + 8*f**2 + 24*f = 0.
-3, -2, 0, 1
Let -d**3/2 + 35*d**2/2 + d/2 - 35/2 = 0. Calculate d.
-1, 1, 35
Factor 4*m**3 + 4*m**2 - 88*m - 160.
4*(m - 5)*(m + 2)*(m + 4)
Factor o**3/5 + o**2/5 - 156*o/5.
o*(o - 12)*(o + 13)/5
Solve 2*i**3/11 - 494*i**2/11 + 31232*i/11 - 89304/11 = 0.
3, 122
Find a, given that 25*a**2 + 21935*a + 8770 = 0.
-877, -2/5
Factor r**3/2 - 13*r**2/2 - 9*r/2 + 405/2.
(r - 9)**2*(r + 5)/2
Factor -l**4 - 136*l**3 - 1734*l**2 + 196520*l - 2088025.
-(l - 17)**2*(l + 85)**2
Factor -4*v**3 + 28*v**2 - 8*v - 160.
-4*(v - 5)*(v - 4)*(v + 2)
Factor -4*h**3/9 + 28*h/3 + 80/9.
-4*(h - 5)*(h + 1)*(h + 4)/9
Let 5*l**5 - 15*l**4 + 15*l**3 - 5*l**2 = 0. Calculate l.
0, 1
Factor v**3 + 10*v**2 + 16*v.
v*(v + 2)*(v + 8)
What is d in 5*d**3 - 1300*d**2 - 5260*d - 5280 = 0?
-2, 264
Factor -3*p**4/2 + 489*p**3 + 1965*p**2/2 + 492*p.
-3*p*(p - 328)*(p + 1)**2/2
Determine x so that 4*x**4/7 + 316*x**3/7 + 312*x**2/7 = 0.
-78, -1, 0
Solve y**3/3 + 2*y**2/3 - 13*y/3 + 10/3 = 0 for y.
-5, 1, 2
Find k, given that -k**3/3 - 5*k**2 + 16*k/3 = 0.
-16, 0, 1
Factor 2*t**3/23 - 30*t**2/23 + 54*t/23 - 26/23.
2*(t - 13)*(t - 1)**2/23
Factor -2*o**2/3 - 120*o - 358/3.
-2*(o + 1)*(o + 179)/3
Factor 2*g**4 - 6*g**3 - 14*g**2 + 30*g + 36.
2*(g - 3)**2*(g + 1)*(g + 2)
Factor 2*w**2/5 - 124*w/5 + 1922/5.
2*(w - 31)**2/5
Determine s, given that 2*s**3/13 - 328*s**2/13 + 14080*s/13 - 51200/13 = 0.
4, 80
Factor 8*k**2/5 + 14*k - 18/5.
2*(k + 9)*(4*k - 1)/5
Factor 2*z**2/9 + 6592*z/9 + 5431808/9.
2*(z + 1648)**2/9
Factor -5*g**4 + 95*g**3 + 1710*g**2 - 1800*g.
-5*g*(g - 30)*(g - 1)*(g + 12)
Factor -3*s**5 + 9*s**4 - 6*s**3.
-3*s**3*(s - 2)*(s - 1)
Factor -7*h**3/5 + 276*h**2/5 + 1087*h/5 - 516/5.
-(h - 43)*(h + 4)*(7*h - 3)/5
Suppose 32*o**5 + 72*o**4 - 196*o**3 + 108*o**2 - 16*o = 0. What is o?
-4, 0, 1/4, 1/2, 1
Let 2*o**3/19 - 26*o**2/19 + 64*o/19 - 40/19 = 0. What is o?
1, 2, 10
Factor -5*q**3 - 5*q**2 + 5*q + 5.
-5*(q - 1)*(q + 1)**2
Suppose 4*c**4 - 216*c**3 + 2192*c**2 + 19680*c + 28800 = 0. Calculate c.
-4, -2, 30
Let k**4 - 30*k**3 - 3*k**2 + 92*k - 60 = 0. What is k?
-2, 1, 30
Factor j**2 + 95*j - 824.
(j - 8)*(j + 103)
Factor 4*v**3/7 + 32*v**2/7 + 76*v/7 + 48/7.
4*(v + 1)*(v + 3)*(v + 4)/7
Factor r**3 - 32*r**2/3 - 47*r/3 - 4.
(r - 12)*(r + 1)*(3*r + 1)/3
Factor -9*t**2/5 - 816*t/5 - 108.
-3*(t + 90)*(3*t + 2)/5
Solve 3*z**4/5 - 6*z**2/5 + 3/5 = 0.
-1, 1
Factor i**3 - 295*i**2 + 1167*i - 873.
(i - 291)*(i - 3)*(i - 1)
Let -3*n**4 - 18*n**3 + 3*n**2 + 18*n = 0. What is n?
-6, -1, 0, 1
Determine j, given that 2*j**4 - 576*j**3 + 41472*j**2 = 0.
0, 144
What is k in 10*k**3/3 + 8*k**2 - 24*k - 32/3 = 0?
-4, -2/5, 2
Factor 2*f**4 - 331*f**3 + 108897*f**2/8 + 27473*f/4 + 6889/8.
(f - 83)**2*(4*f + 1)**2/8
Suppose 10*h**5/13 - 144*h**4/13 + 536*h**3/13 - 4*h**2 - 42*h + 196/13 = 0. What is h?
-1, 2/5, 1, 7
Factor -5*v**4 - 70*v**3 + 5*v**2 + 70*v.
-5*v*(v - 1)*(v + 1)*(v + 14)
Factor 2*h**3/7 + 22*h**2/7 - 442*h/7 - 66.
2*(h - 11)*(h + 1)*(h + 21)/7
Factor -c**4 + 7*c**3 - 16*c**2 + 12*c.
-c*(c - 3)*(c - 2)**2
Factor 3*j**3 + 30*j**2 + 51*j + 24.
3*(j + 1)**2*(j + 8)
Let -3*a**3/5 - 126*a**2/5 - 207*a - 480 = 0. What is a?
-32, -5
Determine f, given that 5*f**5 - 270*f**4 + 5320*f**3 - 45440*f**2 + 153600*f - 163840 = 0.
2, 4, 16
F