culate p.
-2, -1, 0, 1, 6
Factor -25*k**3 - 1445*k**2 - 1144*k - 228.
-(k + 57)*(5*k + 2)**2
Determine v, given that -3*v**4 + 30*v**3 - 108*v**2 + 162*v - 81 = 0.
1, 3
Factor -5*c**4/6 - 5*c**3/3 + 25*c**2/2.
-5*c**2*(c - 3)*(c + 5)/6
Let -5*t**5 - 5*t**4 + 25*t**3 - 15*t**2 = 0. What is t?
-3, 0, 1
Find y, given that -y**4/5 + 46*y**3/5 + 19*y**2 + 48*y/5 = 0.
-1, 0, 48
Let 4*i**2 + 788*i + 784 = 0. Calculate i.
-196, -1
What is c in -c**3 + 865*c**2 - 186623*c - 187489 = 0?
-1, 433
Factor -h**4/4 + h**3 + h**2/2 - 3*h - 9/4.
-(h - 3)**2*(h + 1)**2/4
Let -f**5/3 + 85*f**4/3 - 245*f**3/3 - 85*f**2/3 + 82*f = 0. Calculate f.
-1, 0, 1, 3, 82
Factor t**4/3 + 23*t**3/3 + 122*t**2/3 + 160*t/3.
t*(t + 2)*(t + 5)*(t + 16)/3
Factor 4*q**3/3 - 56*q**2/3 + 44*q.
4*q*(q - 11)*(q - 3)/3
Find m such that -3*m**5/4 + 9*m**4/2 - 3*m**3 - 9*m**2/2 + 15*m/4 = 0.
-1, 0, 1, 5
Determine q, given that -3*q**5 - 96*q**4 - 171*q**3 + 270*q**2 = 0.
-30, -3, 0, 1
Find s, given that 2*s**2/3 - 72*s + 214/3 = 0.
1, 107
Factor q**4/10 + 7*q**3/10 - 3*q**2/10 - 23*q/10 - 7/5.
(q - 2)*(q + 1)**2*(q + 7)/10
Factor y**4/6 - 73*y**3/6 - 164*y**2 - 510*y.
y*(y - 85)*(y + 6)**2/6
Factor c**4/6 - c**3/6 - 7*c**2/2 + 15*c/2.
c*(c - 3)**2*(c + 5)/6
Solve -5*v**4 + 400*v**3 - 10240*v**2 + 81920*v = 0 for v.
0, 16, 32
Factor r**2/7 + 101*r/7 - 1482/7.
(r - 13)*(r + 114)/7
Factor -4*m**2 + 72*m + 76.
-4*(m - 19)*(m + 1)
Let 4*q**3/9 + 16*q**2 - 724*q/9 - 1120/3 = 0. Calculate q.
-40, -3, 7
Factor -4*u**4 + 48*u**3 - 92*u**2 - 144*u.
-4*u*(u - 9)*(u - 4)*(u + 1)
Suppose -6*x**4 - 2158*x**3 - 5720*x**2 - 2856*x = 0. What is x?
-357, -2, -2/3, 0
Factor 2888*u**2/17 - 1368*u/17 + 162/17.
2*(38*u - 9)**2/17
Suppose -2*k**5/9 + 26*k**4/9 - 38*k**3/9 - 74*k**2/9 + 80*k/9 + 88/9 = 0. Calculate k.
-1, 2, 11
Let -4*y**2/7 + 16*y/7 - 16/7 = 0. Calculate y.
2
Determine c so that -2*c**2/7 + 24*c/7 + 26/7 = 0.
-1, 13
Factor 2*h**3/5 - 58*h**2/5 - 40*h + 256/5.
2*(h - 32)*(h - 1)*(h + 4)/5
Factor 3*l**3/4 - 129*l**2/2.
3*l**2*(l - 86)/4
Factor 2*h**3 - 62*h**2.
2*h**2*(h - 31)
Determine k, given that 11*k**3/2 + 21*k**2/2 + 9*k/2 - 1/2 = 0.
-1, 1/11
Solve -4*o**3 + 16*o**2 - 12*o = 0 for o.
0, 1, 3
Let -y**4/11 + 7*y**2/11 + 6*y/11 = 0. Calculate y.
-2, -1, 0, 3
Suppose -2*i**5 + 10*i**4 - 2*i**3 - 34*i**2 + 44*i - 16 = 0. What is i?
-2, 1, 4
Factor 2*f**3 - 1182*f**2 + 232854*f - 15290746.
2*(f - 197)**3
Factor 2*n**3/3 - 284*n**2/3 - 286*n/3.
2*n*(n - 143)*(n + 1)/3
Factor -f**3/3 + 5*f**2/3 - 4*f/3.
-f*(f - 4)*(f - 1)/3
Find x, given that x**3 - 192*x**2 + 12288*x - 262144 = 0.
64
Factor 5*g**2 + 40*g + 75.
5*(g + 3)*(g + 5)
What is v in 3*v**4 + 210*v**3 - 3*v**2 - 210*v = 0?
-70, -1, 0, 1
Factor 4*h**3/3 - 2*h**2/3 - 82*h/3 - 40/3.
2*(h - 5)*(h + 4)*(2*h + 1)/3
Factor -2*r**2 - 4546*r.
-2*r*(r + 2273)
Determine a, given that -4*a**3 - 112*a**2 = 0.
-28, 0
Factor -6*m**2/7 - 136*m/7 + 46/7.
-2*(m + 23)*(3*m - 1)/7
Find n such that 4*n**4/5 - 58*n**3/5 + 224*n**2/5 - 98*n/5 = 0.
0, 1/2, 7
Factor -2*u**2/13 + 12*u/13 + 374/13.
-2*(u - 17)*(u + 11)/13
Determine n, given that -3*n**2 - 636*n + 1284 = 0.
-214, 2
What is z in 18*z**3 - 114*z**2 + 128*z - 40 = 0?
2/3, 5
Solve -6*q**5/7 - 2*q**4 + 48*q**3/7 + 24*q**2/7 - 32*q/7 = 0.
-4, -1, 0, 2/3, 2
Factor 2*n**2/19 - 62*n/19 + 468/19.
2*(n - 18)*(n - 13)/19
Find g, given that 4*g**5 - 209*g**4 + 432*g**3 + 929*g**2 - 1456*g + 300 = 0.
-2, 1/4, 1, 3, 50
Factor -7*q**2/4 + 23*q - 13/4.
-(q - 13)*(7*q - 1)/4
Factor x**2 - 18*x + 80.
(x - 10)*(x - 8)
Suppose -i**5 + 3*i**4 + 55*i**3 + 137*i**2 + 126*i + 40 = 0. Calculate i.
-4, -1, 10
Factor 3*g**3 + 444*g**2 + 879*g + 438.
3*(g + 1)**2*(g + 146)
Factor -4*y**3 + 36*y**2 - 96*y + 64.
-4*(y - 4)**2*(y - 1)
Find z, given that 5*z**3 - z**2 - 5*z + 1 = 0.
-1, 1/5, 1
Factor -5*b**2 + 70*b + 1200.
-5*(b - 24)*(b + 10)
Factor -3*f**3/7 - 27*f**2 - 78*f - 360/7.
-3*(f + 1)*(f + 2)*(f + 60)/7
Factor 20*q**5 - 84*q**4 + 100*q**3 + 4*q**2 - 72*q + 32.
4*(q - 2)*(q - 1)**3*(5*q + 4)
Suppose 84*f**2 - 1671*f - 180 = 0. What is f?
-3/28, 20
Suppose -m**3 - 728*m**2 + m + 728 = 0. Calculate m.
-728, -1, 1
Factor 3*p**3 - 174*p**2 + 165*p + 342.
3*(p - 57)*(p - 2)*(p + 1)
Determine u, given that u**5/4 - 7*u**4/4 + 15*u**3/4 - 5*u**2/4 - 4*u + 3 = 0.
-1, 1, 2, 3
Factor 5*u**4 - 295*u**3 + 280*u**2 + 580*u.
5*u*(u - 58)*(u - 2)*(u + 1)
Factor -4*k**2 + 2056*k - 264196.
-4*(k - 257)**2
Factor 3*c**2 - 198*c + 384.
3*(c - 64)*(c - 2)
Determine a, given that 300*a**3 + 8*a**2 - 1200*a - 32 = 0.
-2, -2/75, 2
Factor 5*j**3 - 4815*j**2 + 1545615*j - 165380805.
5*(j - 321)**3
Factor 2*d**2 - 42*d.
2*d*(d - 21)
Find u, given that -3*u**5/2 - 9*u**4 + 147*u**3/2 - 105*u**2 - 54*u + 132 = 0.
-11, -1, 2
Solve b**4 - 68*b**3 + 1716*b**2 - 19040*b + 78400 = 0.
14, 20
Solve -52728*k**4 + 545532*k**3 - 184626*k**2 + 21141*k - 810 = 0 for k.
3/26, 10
Factor 2*b**3 - 40*b**2 - 94*b + 132.
2*(b - 22)*(b - 1)*(b + 3)
Solve -3*h**3/2 + 159*h**2/2 - 1092*h + 1014 = 0 for h.
1, 26
Find w, given that 8*w**5/11 + 74*w**4/11 + 250*w**3/11 + 370*w**2/11 + 222*w/11 + 36/11 = 0.
-3, -2, -1, -1/4
Factor -3*r**2 - 219*r - 1020.
-3*(r + 5)*(r + 68)
Factor -293907*s**2 + 3756*s - 12.
-3*(313*s - 2)**2
Determine n, given that 5*n**5 + 85*n**4 - 95*n**3 - 85*n**2 + 90*n = 0.
-18, -1, 0, 1
Factor -5*c**2 + 20.
-5*(c - 2)*(c + 2)
Factor -p**3/5 - 81*p**2/5 - 1824*p/5 - 1444.
-(p + 5)*(p + 38)**2/5
Find c, given that 3*c**2 - 420*c + 14700 = 0.
70
Let -5*j**2 - 40*j + 45 = 0. Calculate j.
-9, 1
Factor 2*v**3/3 - 10*v**2/3 + 8*v/3.
2*v*(v - 4)*(v - 1)/3
Find r, given that 2*r**2/21 - 10*r/21 - 4/3 = 0.
-2, 7
Solve -5*u**4 + 16805*u**3 = 0.
0, 3361
Factor -7*r**5 - 22*r**4 + 150*r**3 - 248*r**2 + 169*r - 42.
-(r - 1)**3*(r + 7)*(7*r - 6)
Factor h**4 - 8796*h**3 + 29013606*h**2 - 42533946396*h + 23383037031201.
(h - 2199)**4
Factor -4*h**3 - 76*h**2 - 200*h - 128.
-4*(h + 1)*(h + 2)*(h + 16)
Factor -5*d**2 - 1815*d.
-5*d*(d + 363)
Determine w, given that -3*w**2 - 165*w - 468 = 0.
-52, -3
Factor -8640*q**4 + 6672*q**3 - 1764*q**2 + 171*q - 3.
-3*(4*q - 1)**3*(45*q - 1)
Solve -s**3/4 + 77*s**2/4 - 435*s/4 + 639/4 = 0 for s.
3, 71
Factor -3*b**2 + 126*b + 2784.
-3*(b - 58)*(b + 16)
Solve -t**3 + 2*t**2 + 13*t + 10 = 0.
-2, -1, 5
Factor 4*j**4 - 68*j**3 + 68*j**2 + 1892*j + 2904.
4*(j - 11)**2*(j + 2)*(j + 3)
Suppose 6*k**5 + 9*k**4 - 12*k**3 - 9*k**2 + 6*k = 0. What is k?
-2, -1, 0, 1/2, 1
Suppose -5*n**5/2 + 5*n**4 + 45*n**3/2 - 5*n**2 - 20*n = 0. Calculate n.
-2, -1, 0, 1, 4
Suppose -g**5 + 6*g**3 - 8*g**2 + 3*g = 0. Calculate g.
-3, 0, 1
Factor -5*x**2 - 3715*x - 7410.
-5*(x + 2)*(x + 741)
Let -2*u**4/3 - 158*u**3/3 - 152*u**2/3 + 104*u = 0. What is u?
-78, -2, 0, 1
Factor 4*p**4 + 48*p**3 - 52*p**2.
4*p**2*(p - 1)*(p + 13)
Determine l so that 2*l**5/5 - 44*l**4/5 - 98*l**3/5 + 44*l**2/5 + 96*l/5 = 0.
-2, -1, 0, 1, 24
Solve -2*s**5 + 42*s**4/5 + 22*s**3 + 6*s**2/5 - 20*s - 48/5 = 0 for s.
-1, -4/5, 1, 6
Factor 5*q**4 + 1285*q**3 - 5*q**2 - 1285*q.
5*q*(q - 1)*(q + 1)*(q + 257)
Determine v, given that -100*v**5/3 + 380*v**4/3 + 193*v**3 + 104*v**2/3 + 5*v/3 = 0.
-1, -1/10, 0, 5
Factor 5*f**3 + 155*f**2 + 1435*f + 4165.
5*(f + 7)**2*(f + 17)
Factor 2*t**4 - 44*t**3 - 48*t**2 + 44*t + 46.
2*(t - 23)*(t - 1)*(t + 1)**2
Suppose 3*n**4 + 5*n**3 + 2*n**2 = 0. What is n?
-1, -2/3, 0
Solve -2*m**3/9 + 62*m**2/3 + 256*m/3 + 776/9 = 0 for m.
-2, 97
Solve -24*o**5/7 - 176*o**4/7 + 578*o**3/7 - 594*o**2/7 + 256*o/7 - 40/7 = 0 for o.
-10, 1/2, 2/3, 1
Determine w, given that -15*w**3/2 + 211*w**2 - 1498*w + 196 = 0.
2/15, 14
Factor -h**4 + 8*h**3 + 9*h**2 - 108*h - 108.
-(h - 6)**2*(h + 1)*(h + 3)
Factor i**5 + 39*i**4 + 434*i**3 + 1044*i**2 + 648*i.
i*(i + 1)*(i + 2)*(i + 18)**2
Factor -j**2/3 + 3.
-(j - 3)*(j + 3)/3
Find h such that -4*h**2 + 12*h + 40 = 0.
-2, 5
Find d, given that 4*d**5/7 + 24*d**4/7 + 48*d**3/7 + 40*d**2/7 + 12*d/7 = 0.
-3, -1, 0
Find p such that -2*p**2/3 + 72*p + 440/3 = 0.
-2, 110
Find z such that 28*z**5 - 176*z**4 - 260*z**3 + 2776*z**2 - 3008*z + 640 = 0.
-4, 2/7, 1, 4, 5
Factor 2*j**3/3 - 16*j**2 + 110*j - 484/3.
2*(j - 11)**2*(j - 2)/3
Solve 3*b**3/2 + 6*b**2 + 15*b/2 + 3 = 0 for b.
-2, -1
Let -6*f**3 + 243*f**2/2 + 1749*f/2 + 585 = 0. 