*b/5 - 112.
2*(b - 1)*(b + 280)/5
Find v, given that -2*v**5/7 + 2*v**4/7 + 6*v**3/7 - 10*v**2/7 + 4*v/7 = 0.
-2, 0, 1
Factor 2*v**5 - 8*v**4 - 12*v**3 + 8*v**2 + 10*v.
2*v*(v - 5)*(v - 1)*(v + 1)**2
Find o, given that o**4 + 15*o**3 - 402*o**2 + 1504*o + 1920 = 0.
-30, -1, 8
Find i such that 2*i**5 + 20*i**4 - 66*i**3 - 788*i**2 + 64*i + 768 = 0.
-8, -1, 1, 6
Solve 3*h**5 + 230*h**4 + 5998*h**3 + 56100*h**2 + 74375*h - 31250 = 0 for h.
-25, -2, 1/3
Factor -x**2/2 + x/2 + 3.
-(x - 3)*(x + 2)/2
Factor -4*p**3/5 - 252*p**2/5 - 768*p + 4096/5.
-4*(p - 1)*(p + 32)**2/5
Find w, given that 3*w**3 + 102*w**2 + 132*w - 14520 = 0.
-22, 10
Determine x so that -3*x**3/7 + 9*x**2/7 - 9*x/7 + 3/7 = 0.
1
Suppose z**3/5 - 18*z**2/5 - 21*z/5 + 38/5 = 0. What is z?
-2, 1, 19
Let 3*l**3 - 126*l**2 + 1197*l + 1326 = 0. Calculate l.
-1, 17, 26
Solve -12*o**5 - 75*o**4 - 162*o**3 - 156*o**2 - 66*o - 9 = 0 for o.
-3, -1, -1/4
Find x such that -260*x**5/3 - 740*x**4/3 + 105*x**3 + 620*x**2/3 + 95*x/3 - 10 = 0.
-3, -1/2, 2/13, 1
Factor 5*v**4/2 - 13*v**3/2 - 15*v**2 + 36*v.
v*(v - 3)*(v - 2)*(5*v + 12)/2
Factor -z**4 + 288*z**3 - 20736*z**2.
-z**2*(z - 144)**2
Suppose 24*p**4 - 22*p**3 + 4*p**2 = 0. What is p?
0, 1/4, 2/3
Factor -2*p**4/13 + 42*p**3/13 + 92*p**2/13.
-2*p**2*(p - 23)*(p + 2)/13
Factor -2*t**2 + 78*t - 756.
-2*(t - 21)*(t - 18)
Find s such that 5*s**3 + 75*s**2 + 60*s - 140 = 0.
-14, -2, 1
Factor 2*v**3 - 48*v**2.
2*v**2*(v - 24)
Suppose 35*m**2 + 45*m + 10 = 0. Calculate m.
-1, -2/7
Factor a**2 + 34*a + 288.
(a + 16)*(a + 18)
Solve 2*h**5 - 52*h**4 - 112*h**3 - 4*h**2 + 110*h + 56 = 0 for h.
-1, 1, 28
Determine p so that -4*p**3/3 + 29*p**2/3 + 25*p/3 - 8/3 = 0.
-1, 1/4, 8
Solve -3*q**5/2 + 40*q**4 - 427*q**3/2 - 103*q**2 + 152*q = 0 for q.
-1, 0, 2/3, 8, 19
Find u, given that -2*u**4 + 10*u**3 + 6*u**2 - 34*u + 20 = 0.
-2, 1, 5
Solve -u**3/3 + 16*u**2/3 - 5*u = 0 for u.
0, 1, 15
Solve 35*v**2 - 20*v - 15 = 0.
-3/7, 1
Find i, given that -5*i**3 - 75*i**2 - 135*i + 1215 = 0.
-9, 3
Let -2*h**5/9 - 10*h**4/9 - 16*h**3/9 - 8*h**2/9 = 0. What is h?
-2, -1, 0
Determine i so that -4*i**2 - 7016*i - 3076516 = 0.
-877
Factor 3*v**5/8 - 15*v**4/8 + 3*v**3/2.
3*v**3*(v - 4)*(v - 1)/8
Find k such that k**5/2 - 33*k**4/8 - 19*k**3/2 + 53*k**2/8 + 9*k - 5/2 = 0.
-2, -1, 1/4, 1, 10
Find x such that 28*x**4 - 512*x**3 + 1460*x**2 - 1216*x + 240 = 0.
2/7, 1, 2, 15
Factor -x**4 - 20*x**3 - 69*x**2 + 90*x.
-x*(x - 1)*(x + 6)*(x + 15)
Factor -3*s**2 + 3486*s - 1012683.
-3*(s - 581)**2
Determine u, given that -2*u**5 - 8*u**4 + 4*u**3 + 24*u**2 - 18*u = 0.
-3, 0, 1
Factor -r**3 + 43*r - 42.
-(r - 6)*(r - 1)*(r + 7)
Determine i, given that -i**4/5 + 3*i**3/5 + 3*i**2/5 - 7*i/5 - 6/5 = 0.
-1, 2, 3
Determine b so that 4*b**3 + 12*b**2 + 8*b = 0.
-2, -1, 0
Factor 3*n**5 - 822*n**4 + 58728*n**3 - 332880*n**2 + 652848*n - 430944.
3*(n - 134)**2*(n - 2)**3
Factor 5*u**2 - 115*u.
5*u*(u - 23)
Let -g**3/5 + 14*g**2/5 = 0. Calculate g.
0, 14
Factor t**4/4 - t**2/4.
t**2*(t - 1)*(t + 1)/4
Factor 295*b**3 + 1170*b**2 - 1515*b + 50.
5*(b - 1)*(b + 5)*(59*b - 2)
Solve -f**4/3 + 6*f**2 + 32*f/3 + 5 = 0 for f.
-3, -1, 5
Solve -j**2/6 + 967*j/2 = 0 for j.
0, 2901
Let -5*g**2 - 850*g = 0. Calculate g.
-170, 0
Solve 5*p**5/4 - 65*p**4/4 + 25*p**3/4 + 425*p**2/4 - 15*p/2 - 90 = 0 for p.
-2, -1, 1, 3, 12
Determine t, given that -8*t**5/9 - 40*t**4/9 - 50*t**3/9 + 20*t**2/9 + 40*t/9 - 16/9 = 0.
-2, 1/2
Solve -3*w**4/5 + 548*w**3/5 - 1977*w**2/5 + 1428*w/5 + 716/5 = 0 for w.
-1/3, 2, 179
Suppose -4*k**2 + 64*k + 228 = 0. Calculate k.
-3, 19
Factor -2*l**3 - 38*l**2 + 152*l + 440.
-2*(l - 5)*(l + 2)*(l + 22)
Determine v so that v**2 - 494*v + 61009 = 0.
247
Solve -i**5/5 + 8*i**3/5 + 6*i**2/5 - 7*i/5 - 6/5 = 0 for i.
-2, -1, 1, 3
Find r such that 6*r**3 - 206*r**2 + 1802*r - 578 = 0.
1/3, 17
Factor t**3 + 411*t**2 + 42840*t + 124848.
(t + 3)*(t + 204)**2
Factor 16*j**3/11 - 18*j**2/11 + 2*j/11.
2*j*(j - 1)*(8*j - 1)/11
Factor 6*v**2 - 26*v - 76.
2*(v + 2)*(3*v - 19)
Suppose -2*x**5/5 + 2*x**4/5 = 0. Calculate x.
0, 1
Factor 2*d**3/11 - 3742*d**2/11 + 159290*d - 158950.
2*(d - 935)**2*(d - 1)/11
Determine t, given that 2*t**3/5 + 4*t**2 - 22*t/5 = 0.
-11, 0, 1
Factor t**2/5 + 36*t/5 + 52.
(t + 10)*(t + 26)/5
Suppose -3*d**3 + 587*d**2 - 968*d - 388 = 0. Calculate d.
-1/3, 2, 194
Factor 3*u**3 - 42*u**2 + 105*u + 150.
3*(u - 10)*(u - 5)*(u + 1)
Find r, given that 4*r**5/5 + 16*r**4/5 - 16*r**3/5 - 88*r**2/5 + 12*r/5 + 72/5 = 0.
-3, -1, 1, 2
Factor 4*p**5 - 164*p**4 + 2572*p**3 - 19052*p**2 + 65824*p - 85184.
4*(p - 11)**3*(p - 4)**2
Determine c, given that -3*c**5/5 - 33*c**4 - 90*c**3 + 204*c**2 + 888*c + 3744/5 = 0.
-52, -2, 3
Solve p**2 + 24*p + 63 = 0.
-21, -3
Solve 4*i**4 + 40*i**3 + 144*i**2 + 224*i + 128 = 0 for i.
-4, -2
Suppose -92*g**2 - 60*g + 32 = 0. What is g?
-1, 8/23
What is b in 20*b**2/7 - 1818*b/7 - 26 = 0?
-1/10, 91
Determine d, given that 2*d**4/11 - 56*d**3/11 = 0.
0, 28
Determine j, given that -3*j**3/7 - 288*j**2/7 - 7920*j/7 - 46464/7 = 0.
-44, -8
Find f, given that -2*f**2/3 - 26*f/3 - 44/3 = 0.
-11, -2
Find h, given that -4*h**2/7 - 848*h + 5940/7 = 0.
-1485, 1
Solve 3*f**2 - 1098*f + 4344 = 0.
4, 362
Factor -3*g**2 + 48*g - 45.
-3*(g - 15)*(g - 1)
Find y such that 12*y**5 - 9*y**4 - 3*y**3 = 0.
-1/4, 0, 1
Suppose -4*y**5 + 40*y**4 - 52*y**3 - 112*y**2 + 112*y + 128 = 0. Calculate y.
-1, 2, 8
Suppose -5*a**5 - 50*a**4 + 190*a**3 - 80*a**2 - 185*a + 130 = 0. What is a?
-13, -1, 1, 2
What is u in 3*u**5 - 30*u**4 - 9*u**3 + 84*u**2 + 60*u = 0?
-1, 0, 2, 10
Factor -4*s**4/7 - 12*s**3/7 + 64*s**2/7 - 48*s/7.
-4*s*(s - 2)*(s - 1)*(s + 6)/7
Factor 3*y**3/2 - 467*y**2/2 + 155*y.
y*(y - 155)*(3*y - 2)/2
What is s in -5*s**3 - 1910*s**2 - 3805*s - 1900 = 0?
-380, -1
Suppose c**5/8 + c**4/2 + 3*c**3/8 - c**2/2 - c/2 = 0. What is c?
-2, -1, 0, 1
Find d, given that -4*d**4 - 636*d**3 - 1256*d**2 = 0.
-157, -2, 0
Factor -l**3 + 29*l**2 + l - 29.
-(l - 29)*(l - 1)*(l + 1)
Determine v, given that -4*v**5 + 4*v**4 + 72*v**3 - 72*v**2 - 324*v + 324 = 0.
-3, 1, 3
Solve -z**2/8 + 4*z - 15/2 = 0 for z.
2, 30
Suppose -4*i**2/5 + 4*i + 56/5 = 0. Calculate i.
-2, 7
Factor 5*s**5/6 - 10*s**4/3 + 5*s**3/2.
5*s**3*(s - 3)*(s - 1)/6
Factor k**2/8 + 221*k/4 - 443/8.
(k - 1)*(k + 443)/8
What is a in 4*a**3 - 120*a**2 - 268*a + 384 = 0?
-3, 1, 32
Factor 2*a**3 - 148*a**2 + 142*a + 292.
2*(a - 73)*(a - 2)*(a + 1)
Factor -5*u**4/2 - 2280*u**3 - 519840*u**2.
-5*u**2*(u + 456)**2/2
What is l in l**3/6 - 4*l**2 - 9*l/2 + 25/3 = 0?
-2, 1, 25
Solve -2*l**2 + 148*l - 2738 = 0.
37
Factor -g**3/7 + 2*g**2/7 + 39*g/7 + 72/7.
-(g - 8)*(g + 3)**2/7
Factor 2*p**4 + 78*p**3 - 6*p**2 - 238*p - 156.
2*(p - 2)*(p + 1)**2*(p + 39)
Determine t, given that 3*t**2/7 + 87*t/7 + 414/7 = 0.
-23, -6
Find b, given that -2*b**5/5 - 42*b**4/5 - 188*b**3/5 + 468*b**2/5 + 1342*b/5 + 726/5 = 0.
-11, -1, 3
Factor w**2/4 - 3*w/2 + 5/4.
(w - 5)*(w - 1)/4
Let 6*a**4/7 + 4*a**3/7 - 78*a**2/7 + 20*a/7 + 48/7 = 0. What is a?
-4, -2/3, 1, 3
Factor -2*d**2 - 29236*d - 106842962.
-2*(d + 7309)**2
Factor -a**2/5 - 4553*a/5.
-a*(a + 4553)/5
Find d such that 5*d**5 - 10*d**4 - 60*d**3 + 70*d**2 + 55*d - 60 = 0.
-3, -1, 1, 4
Factor -t**3/4 + 7*t**2/2.
-t**2*(t - 14)/4
Factor -2*m**2 - 2036*m - 518162.
-2*(m + 509)**2
Find l such that 105*l**2 - 220*l + 20 = 0.
2/21, 2
Factor -2*f**5/7 - 2*f**4 - 30*f**3/7 - 26*f**2/7 - 8*f/7.
-2*f*(f + 1)**3*(f + 4)/7
Factor 8*h**5/11 + 48*h**4/11 + 18*h**3/11 - 270*h**2/11 - 162*h/11 + 486/11.
2*(h + 3)**3*(2*h - 3)**2/11
Factor 2*j**4/7 - 212*j**3/7 + 3840*j**2/7 + 14400*j.
2*j*(j - 60)**2*(j + 14)/7
Factor -v**3 - 3*v**2 - 2*v.
-v*(v + 1)*(v + 2)
Factor 36*t**3 + 3167*t**2/4 + 8701*t/2 - 121/4.
(t + 11)**2*(144*t - 1)/4
Let -5*y**3 - 415*y**2 = 0. What is y?
-83, 0
Let 9*g**5 + 165*g**4 - 125*g**3 - 205*g**2 + 80*g + 76 = 0. What is g?
-19, -2/3, 1
Determine b, given that -6272*b**2 + 672*b - 18 = 0.
3/56
Let 4*u**3/7 + 270*u**2/7 - 136*u/7 = 0. Calculate u.
-68, 0, 1/2
Factor -2*d**2/7 - 318*d/7 - 504.
-2*(d + 12)*(d + 147)/7
Determine b, given that -2*b**3 - 16*b**2/5 + 88*b/5 - 32/5 = 0.
-4, 2/5, 2
Solve -35*d**3 - 115*d**2 + 110*d + 40 = 0.
-4, -2/7, 1
Suppose -s**2 - 10*s = 0. Calculate s.
-10, 0
Sup