*b**2 + 50*b.
-5*b*(3*b + 10)*(11*b - 1)
Let -2525*u**2 + 2535*u - 10 = 0. Calculate u.
2/505, 1
Solve -10*m**5 + 122*m**4 - 454*m**3 + 686*m**2 - 400*m + 56 = 0.
1/5, 1, 2, 7
Suppose -v**2/5 + 2284*v - 6520820 = 0. Calculate v.
5710
Determine m, given that -3*m**2/4 - 18*m - 105 = 0.
-14, -10
Factor -5*a**2 + 6780*a + 6785.
-5*(a - 1357)*(a + 1)
Let 14*y**4 - 26*y**3 + 10*y**2 + 2*y = 0. Calculate y.
-1/7, 0, 1
Determine w so that 3*w**5/4 + 9*w**4 - 183*w**3/4 + 36*w**2 = 0.
-16, 0, 1, 3
Factor -5*h**2 - 540*h - 14580.
-5*(h + 54)**2
Factor u**2 - 210*u + 11025.
(u - 105)**2
Suppose -16*f**4 - 200*f**3 - 273*f**2 - 100*f - 11 = 0. Calculate f.
-11, -1, -1/4
Factor 15*g**2/8 - 303*g/2 - 243/8.
3*(g - 81)*(5*g + 1)/8
Suppose 40*s**3 + 155*s**2 - 20*s = 0. What is s?
-4, 0, 1/8
Determine n, given that -14*n**4 + 620*n**3 - 1366*n**2 + 928*n - 168 = 0.
2/7, 1, 42
Suppose -2*v**4/5 - 16*v**3 - 1004*v**2/5 - 816*v - 5202/5 = 0. What is v?
-17, -3
Factor -3*f**4 - 672*f**3 - 38295*f**2 - 73926*f.
-3*f*(f + 2)*(f + 111)**2
Determine a, given that -a**4 - 24*a**3 - 63*a**2 = 0.
-21, -3, 0
Factor b**2 - 8*b - 20.
(b - 10)*(b + 2)
Solve 4*c**4/5 - 1212*c**3/5 + 94788*c**2/5 - 451172*c/5 + 532824/5 = 0 for c.
2, 3, 149
Determine g, given that -4*g**2/5 - 104*g/5 + 448 = 0.
-40, 14
Factor -4*f**2 + 128*f - 348.
-4*(f - 29)*(f - 3)
Suppose 5*t**5/2 - 70*t**4 - 805*t**3/2 - 330*t**2 = 0. What is t?
-4, -1, 0, 33
Factor -f**3/3 - 5*f**2/3 + 32*f/3 - 12.
-(f - 2)**2*(f + 9)/3
Solve f**5/3 - f**4 + 4*f**2/3 = 0.
-1, 0, 2
Factor -p**2/5 - 12*p - 180.
-(p + 30)**2/5
Find l, given that 4*l**2 - 1288*l + 103684 = 0.
161
Factor 3*k**2 + 8484*k - 8487.
3*(k - 1)*(k + 2829)
Factor -5*i**4 + 180*i**3 - 345*i**2 + 170*i.
-5*i*(i - 34)*(i - 1)**2
Factor 17*a**3/5 + 32*a**2/5 - 11*a + 6/5.
(a - 1)*(a + 3)*(17*a - 2)/5
Factor 3*o**5 + 54*o**4 - 18*o**3 - 348*o**2 - 441*o - 162.
3*(o - 3)*(o + 1)**3*(o + 18)
Let -27*c**5 + 63*c**4 + 51*c**3 + 9*c**2 = 0. Calculate c.
-1/3, 0, 3
What is n in 3*n**5/8 - 3*n**4/4 - 3*n**3/8 + 3*n**2/4 = 0?
-1, 0, 1, 2
Factor -h**3 + 17*h**2 + 18*h.
-h*(h - 18)*(h + 1)
Factor -q**2 - 2870*q - 2059225.
-(q + 1435)**2
Solve -3*h**4/2 + 37*h**3/2 - 5*h**2 - 12*h = 0.
-2/3, 0, 1, 12
Solve -d**5/3 - 4*d**4/3 - 4*d**3/3 = 0.
-2, 0
Factor 15*w**3 - 1535*w**2 - 5800*w - 3180.
5*(w - 106)*(w + 3)*(3*w + 2)
Determine p so that -2*p**3/5 - 22*p**2/5 - 16*p - 96/5 = 0.
-4, -3
Factor -5*o**4 - 5*o**3 + 15*o**2 + 25*o + 10.
-5*(o - 2)*(o + 1)**3
Determine u, given that 2*u**4/9 - 32*u**3/9 + 110*u**2/9 = 0.
0, 5, 11
Let 2*l**4/3 - 10*l**3/3 - 8*l**2 + 160*l/3 - 128/3 = 0. Calculate l.
-4, 1, 4
Factor -2*a**2/3 + 316*a/3 + 770.
-2*(a - 165)*(a + 7)/3
Solve 54*l**5 + 648*l**4/5 + 126*l**3/5 - 236*l**2/5 - 24*l - 16/5 = 0 for l.
-2, -2/5, -1/3, 2/3
Determine v, given that -3*v**3/5 + 2*v**2/5 + 91*v/5 + 6 = 0.
-5, -1/3, 6
Find n, given that -n**5 + 29*n**4 + 11*n**3/4 - 155*n**2/2 - 259*n/4 - 29/2 = 0.
-1, -1/2, 2, 29
Determine j, given that -3*j**5 + 33*j**4 + 75*j**3 + 39*j**2 = 0.
-1, 0, 13
Factor r**4/2 + 11*r**3/4 + r**2 - 5*r/4.
r*(r + 1)*(r + 5)*(2*r - 1)/4
Let -2*n**3/5 + 18*n**2/5 - 8*n = 0. What is n?
0, 4, 5
Factor -2*t**3/17 + 24*t**2/17.
-2*t**2*(t - 12)/17
Let -48*u**5/7 + 44*u**4/7 + 102*u**3/7 + 6*u**2/7 - 4*u/7 = 0. What is u?
-1, -1/4, 0, 1/6, 2
Suppose s**5 + 8*s**4 - 197*s**3 + 800*s**2 - 1172*s + 560 = 0. Calculate s.
-20, 1, 2, 7
Suppose 1526*n**2/3 + 1280*n/3 - 8 = 0. What is n?
-6/7, 2/109
Factor q**5 + 62*q**4 - 2*q**3 - 124*q**2 + q + 62.
(q - 1)**2*(q + 1)**2*(q + 62)
Factor 9*c**4/4 - 14*c**3 + 21*c**2 - 4*c.
c*(c - 4)*(c - 2)*(9*c - 2)/4
Factor f**5/3 - 2*f**4 - f**3 + 20*f**2/3 - 4*f.
f*(f - 6)*(f - 1)**2*(f + 2)/3
Determine h, given that 6*h**2 + 3*h - 3 = 0.
-1, 1/2
Determine y, given that -2*y**3 - 12*y**2 + 50*y - 36 = 0.
-9, 1, 2
Determine y so that 22*y**3/3 - 92*y**2/3 - 94*y/3 + 20/3 = 0.
-1, 2/11, 5
Factor -2*p**2/3 + 30*p + 92/3.
-2*(p - 46)*(p + 1)/3
Determine g so that -10*g**5/9 - 32*g**4/9 - 4*g**3 - 16*g**2/9 - 2*g/9 = 0.
-1, -1/5, 0
Determine b so that -3*b**5 + 78*b**4 + 3*b**3 - 78*b**2 = 0.
-1, 0, 1, 26
Factor -l**2/2 - 274*l - 37538.
-(l + 274)**2/2
Factor -2*g**3/9 + 20*g**2/3 - 406*g/9 - 52.
-2*(g - 18)*(g - 13)*(g + 1)/9
What is r in -4*r**5/3 - 56*r**4/3 + 4*r**3 + 176*r**2/3 + 112*r/3 = 0?
-14, -1, 0, 2
Suppose 2*o**2 = 0. What is o?
0
Suppose 3*n**3 - 9*n**2 - 54*n = 0. Calculate n.
-3, 0, 6
Determine g, given that -g**4/2 + 8*g**3 + 111*g**2/2 - 63*g = 0.
-6, 0, 1, 21
Solve -2*c**3/5 + 88*c**2/5 - 1178*c/5 + 4332/5 = 0 for c.
6, 19
Factor 5*w**4 - 1440*w**3 + 124160*w**2 - 2949120*w + 20971520.
5*(w - 128)**2*(w - 16)**2
Factor -3*i**4 + 30*i**3 - 99*i**2 + 120*i - 48.
-3*(i - 4)**2*(i - 1)**2
Suppose 8*q**5 + 218*q**4 - 26*q**3 - 26228*q**2 - 32472*q - 6480 = 0. Calculate q.
-18, -1, -1/4, 10
Solve 4*k**3 - 1148*k**2 + 82940*k - 81796 = 0.
1, 143
Solve -169*r**3/2 + 117*r**2/2 + 24*r + 2 = 0.
-2/13, 1
What is l in -44*l**5/3 + 212*l**4/3 - 92*l**3/3 - 140*l**2 - 24*l = 0?
-1, -2/11, 0, 3
Factor -3*n**2 + 8436*n - 5930508.
-3*(n - 1406)**2
Factor u**5 - 81*u**4 - 258*u**3 + 476*u**2 + 2328*u + 2016.
(u - 84)*(u - 3)*(u + 2)**3
Determine l, given that 5*l**5 + 15*l**4 - 20*l**3 - 60*l**2 = 0.
-3, -2, 0, 2
Factor 5*v**2 - 10*v - 600.
5*(v - 12)*(v + 10)
Find n, given that 2*n**4 + 3*n**3 - 19*n**2 + 6*n + 8 = 0.
-4, -1/2, 1, 2
Solve -4*b**2 + 70160*b - 307651600 = 0.
8770
Find o, given that o**4/2 - 19*o**3/2 + 119*o**2/2 - 245*o/2 = 0.
0, 5, 7
Factor 2*m**3/3 + 4*m**2/3 - 62*m/3 + 56/3.
2*(m - 4)*(m - 1)*(m + 7)/3
Factor v**2/4 - 13*v/4 + 11/2.
(v - 11)*(v - 2)/4
Let -r**2 + 31*r - 58 = 0. What is r?
2, 29
Factor -2*h**2/5 - 78*h + 392/5.
-2*(h - 1)*(h + 196)/5
Suppose 20*v**3 - 592*v**2 - 860*v - 248 = 0. Calculate v.
-1, -2/5, 31
Determine j, given that 94*j**2/3 - 4*j/15 = 0.
0, 2/235
Find y, given that 4*y**5 - 64*y**4 + 244*y**3 + 200*y**2 - 896*y + 512 = 0.
-2, 1, 8
What is h in 2*h**3 - 4*h**2 - 190*h - 600 = 0?
-5, 12
What is j in -2*j**2/5 - 76*j/5 - 722/5 = 0?
-19
Solve 5*k**4 - 70*k**3 + 65*k**2 = 0.
0, 1, 13
Factor 45*j**4 + 55*j**3 - 80*j**2 - 20*j.
5*j*(j - 1)*(j + 2)*(9*j + 2)
Factor 110*w**2 + 175*w + 60.
5*(2*w + 1)*(11*w + 12)
Solve 512*u**3/3 - 7232*u**2/3 + 898*u/3 - 28/3 = 0 for u.
1/16, 14
Solve -m**3/3 + m**2 + 18*m = 0 for m.
-6, 0, 9
Factor 6*x**5 - 15*x**4 + 6*x**3 + 12*x**2 - 12*x + 3.
3*(x - 1)**3*(x + 1)*(2*x - 1)
What is a in 2*a**4 - 6*a**3 - 2106*a**2 + 4222*a - 2112 = 0?
-32, 1, 33
Factor 15*g**2 + 275*g - 190.
5*(g + 19)*(3*g - 2)
Solve 2*p**4/11 + 14*p**3 + 2886*p**2/11 - 3042*p/11 = 0 for p.
-39, 0, 1
Let f**2 + 15*f + 14 = 0. What is f?
-14, -1
Factor h**2/3 - 436*h/3 + 47524/3.
(h - 218)**2/3
Factor -3*q**2/5 + 132*q - 7260.
-3*(q - 110)**2/5
Determine d, given that 100*d**5 - 160*d**4 + 24*d**3 + 32*d**2 + 4*d = 0.
-1/5, 0, 1
Suppose 2*k**3 - 48*k**2 - 2*k + 48 = 0. Calculate k.
-1, 1, 24
Let 2*k**4/15 + 596*k**3/15 + 14392*k**2/5 - 185428*k/15 - 45602/3 = 0. Calculate k.
-151, -1, 5
Find b, given that -2*b**3 + 22*b**2 - 16*b - 40 = 0.
-1, 2, 10
Factor 3*s**4 + 33*s**3/7 + 3*s**2/7 - 9*s/7.
3*s*(s + 1)**2*(7*s - 3)/7
Let 10*p**4 - 676*p**3 - 282*p**2 + 676*p + 272 = 0. What is p?
-1, -2/5, 1, 68
Factor 3*j**2 + 15*j.
3*j*(j + 5)
Factor -2*k**2 - 148*k - 2738.
-2*(k + 37)**2
Find l such that -4*l**3 - 196*l**2 - 536*l + 736 = 0.
-46, -4, 1
Factor -784*y**3 + 3192*y**2 - 225*y + 4.
-(y - 4)*(28*y - 1)**2
Determine h, given that -2*h**3/11 + 146*h**2/11 - 2870*h/11 + 7350/11 = 0.
3, 35
Suppose 2*l**5/5 + 68*l**4/5 - 4462*l**3/5 - 11096*l**2 + 759520*l - 7068800 = 0. What is l?
-47, 20
Factor -3*o**2 - 13230*o + 13233.
-3*(o - 1)*(o + 4411)
Suppose -2*f**5/5 + 2*f**4/5 + 18*f**3/5 + 22*f**2/5 + 8*f/5 = 0. What is f?
-1, 0, 4
Factor 4*v**5 + 8*v**4/3 - 4*v**3/3.
4*v**3*(v + 1)*(3*v - 1)/3
Factor -4*x**4 + 80*x**3 + 112*x**2 - 6272*x.
-4*x*(x - 14)**2*(x + 8)
Solve -884*v**5 - 423*v**4 + 385*v**3 - 72*v**2 + 4*v = 0 for v.
-1, 0, 2/17, 2/13, 1/4
Factor 5*a**5 - 35*a**4 + 60*a**3 + 20*a**2 - 80*a.
5*a*(a - 4)*(a - 2)**2*(a + 1)
Factor -2*b**2 - 32*b - 128.
-2*(b + 8)**2
Factor -2*x**5/11 + 18*x**4/11 - 42*x**3/11 + 38*x**2/11 - 12*x/11.
-2*x*(x - 6)*(x - 1)**3/11
Fin