8
Factor -4*c**3 + 176*c**2 - 492*c.
-4*c*(c - 41)*(c - 3)
Find i, given that 2*i**3 - 52*i**2 + 96*i = 0.
0, 2, 24
Factor -2*f**4 + 4*f**3 + 24*f**2 - 80*f + 64.
-2*(f - 2)**3*(f + 4)
Find g such that -4*g**4 + 132*g**3 - 588*g**2 + 796*g - 336 = 0.
1, 3, 28
Factor k**2/3 - 164*k/3 - 845/3.
(k - 169)*(k + 5)/3
Suppose 9*s**2/5 - 1542*s/5 + 513/5 = 0. Calculate s.
1/3, 171
Determine t so that -4*t**4 - 104*t**3 + 348*t**2 - 16*t - 464 = 0.
-29, -1, 2
What is h in h**2/6 - 570*h + 487350 = 0?
1710
Find x such that 2*x**3/11 - 30*x**2/11 = 0.
0, 15
Factor 2*u**5/3 + 6*u**4 + 10*u**3 + 14*u**2/3.
2*u**2*(u + 1)**2*(u + 7)/3
Solve 14*a**2 - 2146*a + 612 = 0.
2/7, 153
Factor 4*v**3 + 96*v**2 + 660*v + 1400.
4*(v + 5)**2*(v + 14)
Factor 6*d**4 - 44*d**3 + 94*d**2 - 24*d - 72.
2*(d - 3)**2*(d - 2)*(3*d + 2)
Solve 3*t**5 - 2*t**4 - 37*t**3 - 12*t**2 = 0.
-3, -1/3, 0, 4
Suppose -169*u**4/3 - 1664*u**3/3 - 5344*u**2/3 - 2048*u - 768 = 0. Calculate u.
-4, -12/13
Find a such that a**4/6 - 5*a**3 + 109*a**2/6 - 22*a + 26/3 = 0.
1, 2, 26
What is d in 93048125*d**3 + 2106750*d**2 + 15900*d + 40 = 0?
-2/265
Factor -3*u**2/4 + 3*u/4.
-3*u*(u - 1)/4
Factor k**3/5 - k**2 + 6*k/5.
k*(k - 3)*(k - 2)/5
Determine w, given that -3*w**3 - 75*w**2 + 84*w + 156 = 0.
-26, -1, 2
Solve 27*k**5 + 390*k**4 - 707*k**3/3 - 484*k**2/3 - 20*k = 0.
-15, -2/9, 0, 1
Factor 3*x**4/7 + 18*x**3/7 - 57*x**2/7 - 72*x/7.
3*x*(x - 3)*(x + 1)*(x + 8)/7
Find n, given that 4*n**5/7 + 4*n**4/7 - 12*n**3/7 - 4*n**2/7 + 8*n/7 = 0.
-2, -1, 0, 1
Solve -5*v**2 + 1545*v - 4590 = 0.
3, 306
Factor a**4/5 + 11*a**3/5 + 27*a**2/5 + 5*a + 8/5.
(a + 1)**3*(a + 8)/5
Solve i**3 + i**2 - 4*i - 4 = 0 for i.
-2, -1, 2
Determine c so that -3*c**2/4 + 18*c + 435/4 = 0.
-5, 29
Factor m**3 - 95*m**2 - 193*m - 97.
(m - 97)*(m + 1)**2
Factor -2*j**2/17 - 30*j/17 + 32/17.
-2*(j - 1)*(j + 16)/17
Factor 6*h**2/7 - 8*h/7 - 8/7.
2*(h - 2)*(3*h + 2)/7
Suppose -4*a**5 - 6856*a**4 - 34216*a**3 - 61552*a**2 - 47860*a - 13672 = 0. What is a?
-1709, -2, -1
Determine l so that 2*l**5/5 - 20*l**4 - 104*l**3/5 + 20*l**2 + 102*l/5 = 0.
-1, 0, 1, 51
Find g, given that 5*g**5 + 10*g**4 - 15*g**3 - 40*g**2 - 20*g = 0.
-2, -1, 0, 2
What is x in -x**4 - 2*x**3 + 13*x**2 - 10*x = 0?
-5, 0, 1, 2
Suppose -60*r**3 + 235*r**2 - 160*r - 15 = 0. What is r?
-1/12, 1, 3
Factor -b**3 - 51*b**2 - 503*b + 555.
-(b - 1)*(b + 15)*(b + 37)
Factor -5*x**3 - 10*x**2 + 495*x.
-5*x*(x - 9)*(x + 11)
Suppose p**2/4 + 269*p/2 + 72361/4 = 0. What is p?
-269
Find r, given that 42*r**4 + 130*r**3 + 96*r**2 + 8*r = 0.
-2, -1, -2/21, 0
Solve -2*y**2/7 - 5884*y/7 - 4327682/7 = 0.
-1471
Factor 2*v**3/5 - 26*v**2/5 + 46*v/5 - 22/5.
2*(v - 11)*(v - 1)**2/5
Determine z so that -z**3/6 - 13*z**2/6 - 16*z/3 - 10/3 = 0.
-10, -2, -1
Determine v so that -15*v**2/2 - 699*v/2 + 141 = 0.
-47, 2/5
Factor -2*m**2 + 754*m - 1500.
-2*(m - 375)*(m - 2)
Factor -2*g**3 - 152*g**2 + 650*g + 800.
-2*(g - 5)*(g + 1)*(g + 80)
Factor -w**4 + 300*w**3 - 21892*w**2 - 91200*w - 92416.
-(w - 152)**2*(w + 2)**2
Suppose 2*j**3/5 + 16*j**2/5 + 6*j = 0. Calculate j.
-5, -3, 0
What is s in -81*s**3/8 - 153*s**2/8 + 123*s/4 - 9 = 0?
-3, 4/9, 2/3
Determine d so that -882*d**4 + 2240*d**3 - 5744*d**2/9 - 8960*d/9 - 1568/9 = 0.
-2/7, 14/9
Factor p**4 + 13*p**3 + 52*p**2 + 60*p.
p*(p + 2)*(p + 5)*(p + 6)
Factor m**4 - 7*m**3 + 17*m**2 - 17*m + 6.
(m - 3)*(m - 2)*(m - 1)**2
Factor 2*w**2/9 - 70*w/9 + 64/3.
2*(w - 32)*(w - 3)/9
Factor 5*i**3 - 185*i**2 + 680*i - 660.
5*(i - 33)*(i - 2)**2
Suppose 182*r**5 + 284*r**4 - 282*r**3 - 224*r**2 + 40*r = 0. What is r?
-2, -5/7, 0, 2/13, 1
Factor r**3/3 + 105*r**2 + 8321*r + 24649/3.
(r + 1)*(r + 157)**2/3
Factor 2*r**3/5 + 2*r**2/5 - 8*r/5 - 8/5.
2*(r - 2)*(r + 1)*(r + 2)/5
Factor -2*v**2/15 + 34*v/15.
-2*v*(v - 17)/15
What is t in 3*t**4 - 6*t**3 - 39*t**2 - 30*t = 0?
-2, -1, 0, 5
What is d in -d**3 + 516*d**2 - 66564*d = 0?
0, 258
Let w**5/6 - 5*w**4/6 - 7*w**3/6 + 29*w**2/6 + 5*w = 0. What is w?
-2, -1, 0, 3, 5
Factor -r**3/2 - 6*r**2 - 9*r/2 + 11.
-(r - 1)*(r + 2)*(r + 11)/2
Determine j so that -j**3/8 - 77*j**2/4 + 311*j/8 - 39/2 = 0.
-156, 1
Factor f**3/6 - 7*f**2/6 - 5*f.
f*(f - 10)*(f + 3)/6
Factor -5*m**3 - 1085*m**2 + 6690*m.
-5*m*(m - 6)*(m + 223)
Let -4*g**2/9 - 52*g/9 + 40 = 0. Calculate g.
-18, 5
What is g in 2*g**5/3 + 10*g**4 + 50*g**3 + 290*g**2/3 + 80*g + 24 = 0?
-6, -1
Factor 5*i**3 + 65*i**2 + 175*i - 245.
5*(i - 1)*(i + 7)**2
Factor -z**5/6 + z**4/2 - z**3/2 + z**2/6.
-z**2*(z - 1)**3/6
Factor 3*s**2 + 330*s + 9075.
3*(s + 55)**2
What is m in -m**2/3 + 1966*m/3 - 655 = 0?
1, 1965
What is s in 17*s**2/5 + 2*s/5 = 0?
-2/17, 0
Solve r**4 - 8*r**3 + 20*r**2 - 16*r = 0.
0, 2, 4
Factor 5*w**2 + 90*w - 1400.
5*(w - 10)*(w + 28)
Determine h, given that -4*h**3 - 48*h**2 + 60*h + 104 = 0.
-13, -1, 2
What is s in s**2 + 2*s - 24 = 0?
-6, 4
Factor -8*n**3 - 84*n**2 - 40*n.
-4*n*(n + 10)*(2*n + 1)
Solve -5*g**2 - 10010*g - 5010005 = 0 for g.
-1001
Find a such that 4*a**4/3 + 8*a**3/3 - 12*a**2 - 8*a/3 + 32/3 = 0.
-4, -1, 1, 2
Let 2*m**5/9 - 62*m**4/9 + 226*m**3/9 - 274*m**2/9 + 12*m = 0. What is m?
0, 1, 2, 27
Find m, given that -2*m**2/13 + 8*m/13 - 6/13 = 0.
1, 3
Factor -o**4 + 7*o**3 - 10*o**2.
-o**2*(o - 5)*(o - 2)
What is x in -x**2/5 - 22*x - 605 = 0?
-55
Factor -2*p**3/3 + 8*p**2/3 + 8*p.
-2*p*(p - 6)*(p + 2)/3
Let 4*v**5 - 24*v**4 + 44*v**3 - 8*v**2 - 48*v + 32 = 0. Calculate v.
-1, 1, 2
Solve -2*i**2 + 4*i/3 + 130/3 = 0 for i.
-13/3, 5
Find w, given that -5*w**2 + 280*w - 3920 = 0.
28
Suppose -f**4/10 - 39*f**3/10 - 217*f**2/10 + 3243*f/10 - 529 = 0. Calculate f.
-23, 2, 5
Factor -3*k**3 + 2469*k**2 + 9912*k + 9924.
-3*(k - 827)*(k + 2)**2
Solve 2*n**2/9 - 70*n/9 - 376/3 = 0.
-12, 47
Factor 3*w**2/2 - 147/2.
3*(w - 7)*(w + 7)/2
Find k, given that -k**3 - 54*k**2 - 729*k = 0.
-27, 0
Suppose k**3/2 - 21*k**2/2 + 45*k + 56 = 0. Calculate k.
-1, 8, 14
Suppose -h**4/2 + 7*h**3 - 16*h**2 - 7*h + 33/2 = 0. What is h?
-1, 1, 3, 11
Solve -64*b**4 + 1184*b**3 + 636*b**2 - 536*b + 76 = 0 for b.
-1, 1/4, 19
What is u in -10*u**2/11 - 686*u/11 + 276/11 = 0?
-69, 2/5
Solve -20*i**5 - 2225*i**4 + 6225*i**3 - 5125*i**2 + 575*i + 570 = 0.
-114, -1/4, 1
Solve -39*i**2 - 57*i/5 + 54/5 = 0.
-9/13, 2/5
Factor -3*l**2/7 + 237*l/7 + 240/7.
-3*(l - 80)*(l + 1)/7
Factor -2*g**3/9 - 10*g**2/9 - 16*g/9 - 8/9.
-2*(g + 1)*(g + 2)**2/9
Suppose 10*n**4/23 - 26*n**3/23 - 98*n**2/23 + 186*n/23 - 72/23 = 0. What is n?
-3, 3/5, 1, 4
Factor -2*c**2/9 - 2278*c/9 + 760/3.
-2*(c - 1)*(c + 1140)/9
Determine l, given that 3*l**5 + 21*l**4 + 45*l**3 + 27*l**2 = 0.
-3, -1, 0
What is r in 2*r**4/5 - 22*r**3/5 - 636*r**2/5 + 8792*r/5 - 14896/5 = 0?
-19, 2, 14
Factor 5*q**4 + 75*q**3 + 195*q**2 + 185*q + 60.
5*(q + 1)**3*(q + 12)
Factor 2*w**3 + 18*w**2 - 2*w - 18.
2*(w - 1)*(w + 1)*(w + 9)
What is z in 2*z**3 + 396*z**2 - 398*z = 0?
-199, 0, 1
Let -i**3/6 + 83*i**2/6 - 121*i/3 + 80/3 = 0. What is i?
1, 2, 80
Factor 3*r**3 + 120*r**2 + 339*r + 222.
3*(r + 1)*(r + 2)*(r + 37)
Factor -3*q**5/8 - 27*q**4/4 - 99*q**3/8 - 6*q**2.
-3*q**2*(q + 1)**2*(q + 16)/8
Solve -4*l**4 + 36*l**3 + 4*l**2 - 36*l = 0.
-1, 0, 1, 9
Factor -4*w**2/7 + 4688*w/7 - 1373584/7.
-4*(w - 586)**2/7
Let -2*c**5 - 136*c**4 - 642*c**3 - 748*c**2 + 520*c + 1008 = 0. What is c?
-63, -2, 1
Factor 2*s**3/7 + 48*s**2/7 + 118*s/7 - 120.
2*(s - 3)*(s + 7)*(s + 20)/7
What is q in -16*q**4/5 + 212*q**3/5 + 1388*q**2/5 - 72*q = 0?
-5, 0, 1/4, 18
Factor -2*u**3/7 + 22*u**2/7 - 52*u/7 + 32/7.
-2*(u - 8)*(u - 2)*(u - 1)/7
Find b such that 45*b**4 + 3505*b**3 + 71290*b**2 + 111340*b - 216600 = 0.
-38, -3, 10/9
Factor x**2 + 130*x + 4225.
(x + 65)**2
Determine p, given that 2*p**3 - 2*p**2 - 34*p - 30 = 0.
-3, -1, 5
Factor w**2/2 + 887*w + 786769/2.
(w + 887)**2/2
What is v in 4*v**3 + 2052*v**2 + 260064*v - 798768 = 0?
-258, 3
Suppose -v**5 + 32*v**4 - 60*v**3 - 2*v**2 + 61*v - 30 = 0. Calculate v.
-1, 1, 30
Let -3*d**4/2 + 9*d**3/2 = 0. Calculate d.
0, 3
Suppose 75*a**3 + 5985*a**2 + 4752*a + 948 = 0. Calculate a.
-79, -2/5
Factor -4*o**2/7 - 340*o/7 - 6864/7.
-4*(o + 33)*(o + 52)/7
Solve f**2/3 - 6*f = 0.
0, 18
Factor -2*q**5/13 - 2*q**4/13 + 10*q**3/13 - 6*q**2/13.
-2*q**2*(q - 1)**2*(q + 3)/13
Solve 2*y**2 + 88*y - 2232 = 0 