3
Determine s, given that 3*s**5 - 12*s**4 - 39*s**3 + 12*s**2 + 36*s = 0.
-2, -1, 0, 1, 6
Factor -4*i**2 + 20*i + 336.
-4*(i - 12)*(i + 7)
Solve 2*n**3/11 - 46*n**2/11 - 52*n/11 + 96/11 = 0 for n.
-2, 1, 24
Solve 25281*j**4 + 3021*j**3 - 19374*j**2 - 8064*j - 864 = 0 for j.
-2/3, -12/53, 1
Factor 2*a**4 - 26*a**3 - 126*a**2 - 166*a - 68.
2*(a - 17)*(a + 1)**2*(a + 2)
Let -18*t**2 + 500*t + 112 = 0. What is t?
-2/9, 28
Factor -5*n**2 - 145*n - 950.
-5*(n + 10)*(n + 19)
Factor 3*s**3/4 + 57*s**2/4 + 9*s - 81.
3*(s - 2)*(s + 3)*(s + 18)/4
Let 3*n**2/8 - 27/8 = 0. Calculate n.
-3, 3
Factor -4*x**2 + 336*x + 340.
-4*(x - 85)*(x + 1)
Determine b so that 10976*b**5 + 261072*b**4 + 1524264*b**3 - 334660*b**2 + 24096*b - 576 = 0.
-12, 1/14
What is j in -3*j**2/2 + 918*j = 0?
0, 612
Factor 3*m**4/7 + 36*m**3/7 - 45*m**2/7 - 78*m/7.
3*m*(m - 2)*(m + 1)*(m + 13)/7
What is a in -4*a**4 - 20*a**3 - 12*a**2 + 36*a = 0?
-3, 0, 1
What is o in -14*o**2 + 340*o - 96 = 0?
2/7, 24
Solve 2*o**5/5 - o**4/2 - 13*o**3/5 + 9*o**2/10 + 9*o/5 = 0 for o.
-2, -3/4, 0, 1, 3
Find a such that 2*a**2 - 10*a - 100 = 0.
-5, 10
What is w in 5*w**3 + 135*w**2 + 235*w - 375 = 0?
-25, -3, 1
Factor 4*h**3 - 12*h**2 - 288*h - 704.
4*(h - 11)*(h + 4)**2
Factor 86*y**2/17 + 1294*y/17 + 60/17.
2*(y + 15)*(43*y + 2)/17
Find s such that -3*s**3 - 270*s**2 - 6075*s = 0.
-45, 0
Solve 2*a**3 - 2*a**2 - 66*a - 126 = 0.
-3, 7
Determine y, given that -25*y**4 - 149*y**3 - 219*y**2 + 9*y = 0.
-3, 0, 1/25
Determine l so that 6*l**5/17 - 434*l**4/17 - 762*l**3/17 + 1634*l**2/17 - 444*l/17 = 0.
-3, 0, 1/3, 1, 74
Factor 4*s**3/5 + 44*s**2/5 - 16*s/5 - 176/5.
4*(s - 2)*(s + 2)*(s + 11)/5
Factor -z**4/3 + 773*z**3/3 + 1549*z**2/3 + 775*z/3.
-z*(z - 775)*(z + 1)**2/3
Factor -5*s**4 - 415*s**3 + 850*s**2.
-5*s**2*(s - 2)*(s + 85)
Suppose 4*z**3/5 + 56*z**2/5 + 48*z + 288/5 = 0. Calculate z.
-6, -2
Determine r, given that r**3/7 + 60*r**2/7 - 123*r/7 + 62/7 = 0.
-62, 1
Factor 3*n**2/5 + 522*n/5 + 22707/5.
3*(n + 87)**2/5
Factor 4*k**4/7 - 60*k**3/7 + 152*k**2/7 - 96*k/7.
4*k*(k - 12)*(k - 2)*(k - 1)/7
Factor u**5 + 44*u**4 + 625*u**3 + 3066*u**2 + 4428*u + 1944.
(u + 1)**2*(u + 6)*(u + 18)**2
What is k in 3*k**3 - 39*k + 36 = 0?
-4, 1, 3
What is k in 2*k**4/11 - 4*k**3 + 282*k**2/11 - 40*k + 200/11 = 0?
1, 10
Factor -2*u**3/11 - 130*u**2/11 + 2*u/11 + 130/11.
-2*(u - 1)*(u + 1)*(u + 65)/11
Solve 4*c**4/3 + 20*c**3/3 + 12*c**2 + 28*c/3 + 8/3 = 0 for c.
-2, -1
Factor -3*o**3/4 - 45*o**2/2 - 249*o/4 - 81/2.
-3*(o + 1)*(o + 2)*(o + 27)/4
Factor 4*y**3/5 + 84*y**2/5 - 2884*y/5 - 2964/5.
4*(y - 19)*(y + 1)*(y + 39)/5
Solve 18*h**2/5 - 22*h/5 + 4/5 = 0.
2/9, 1
Factor 20*y**2 - 1988*y + 792.
4*(y - 99)*(5*y - 2)
Factor -2*s**2/17 + 12*s/17 + 14/17.
-2*(s - 7)*(s + 1)/17
Suppose -3*a**5/5 - 24*a**4/5 + 12*a**3 - 6*a**2/5 - 57*a/5 + 6 = 0. What is a?
-10, -1, 1
Determine m so that 2*m**3/7 + 738*m**2/7 + 210*m + 734/7 = 0.
-367, -1
Determine x so that 2*x**3/25 - 304*x**2/25 - 638*x/5 - 324 = 0.
-5, 162
Find m such that 5*m**2/3 - 175*m/3 - 940 = 0.
-12, 47
Let 25*m**3 - 220*m**2 + 164*m - 32 = 0. What is m?
2/5, 8
Suppose -2*t**3/9 - 62*t**2/9 = 0. Calculate t.
-31, 0
Solve -3*w**5 - 9*w**4 + 9*w**3 + 21*w**2 - 18*w = 0.
-3, -2, 0, 1
Determine j, given that 2*j**3/9 + 38*j**2/9 + 32*j/9 - 8 = 0.
-18, -2, 1
Solve h**3/2 - 10*h**2 - 43*h/2 - 11 = 0.
-1, 22
Let -i**3 - 313*i**2 + 630*i = 0. What is i?
-315, 0, 2
Suppose -2*s**3/15 + 12*s**2/5 + 2*s/5 - 136/3 = 0. What is s?
-4, 5, 17
Determine h so that 2*h**4/7 - 20*h**3/7 - 54*h**2/7 + 72*h/7 = 0.
-3, 0, 1, 12
Suppose 2*w**5/9 - 16*w**4/9 + 28*w**3/9 + 16*w**2/9 - 10*w/3 = 0. Calculate w.
-1, 0, 1, 3, 5
Factor m**5 - 8*m**3 + 16*m.
m*(m - 2)**2*(m + 2)**2
What is y in 22*y**4/17 - 58*y**3/17 - 60*y**2/17 + 232*y/17 - 112/17 = 0?
-2, 7/11, 2
Factor -w**2/4 + 25*w/2 + 54.
-(w - 54)*(w + 4)/4
Factor k**2/5 - 2*k/5.
k*(k - 2)/5
Factor 513*x**2/5 + 174*x/5 + 1/5.
(3*x + 1)*(171*x + 1)/5
Factor 4*o**4 + 68*o**3 - 164*o**2 - 228*o.
4*o*(o - 3)*(o + 1)*(o + 19)
Factor -5*w**2/6 + 10*w + 65/6.
-5*(w - 13)*(w + 1)/6
Factor 5*v**4 - 120*v**3 + 115*v**2.
5*v**2*(v - 23)*(v - 1)
Factor f**2 + 55*f - 56.
(f - 1)*(f + 56)
Factor -3706*q**2/3 - 3710*q/3 - 4/3.
-2*(q + 1)*(1853*q + 2)/3
Determine d so that d**3/6 + 17*d**2/6 + 12*d = 0.
-9, -8, 0
Suppose a**2/2 - 33*a/2 - 17 = 0. What is a?
-1, 34
Factor 2*r**2 - 106*r + 204.
2*(r - 51)*(r - 2)
Let -2*w**2/7 + 8*w - 56 = 0. Calculate w.
14
What is a in 3*a**3 - 36*a + 48 = 0?
-4, 2
Factor -o**5/5 - 13*o**4/5 + 6*o**3 - 2*o**2/5 - 29*o/5 + 3.
-(o - 1)**3*(o + 1)*(o + 15)/5
Determine u so that 5*u**5 + 15*u**4 - 5*u**3 - 55*u**2 - 60*u - 20 = 0.
-2, -1, 2
Factor 2*g**2/7 + 52*g/7.
2*g*(g + 26)/7
Let -12*r**5 + 104*r**4 - 192*r**3 - 184*r**2 + 204*r + 80 = 0. What is r?
-1, -1/3, 1, 4, 5
Factor -2*c**2 + 8*c + 280.
-2*(c - 14)*(c + 10)
Determine z, given that z**2/3 + 6*z + 27 = 0.
-9
Factor -b**2/2 - 357*b/2.
-b*(b + 357)/2
What is a in 2*a**2/9 + 254*a/9 + 500/9 = 0?
-125, -2
Factor -v**4 + 45*v**3 - 43*v**2 - 45*v + 44.
-(v - 44)*(v - 1)**2*(v + 1)
Determine b so that 5*b**2 - 325*b + 2030 = 0.
7, 58
Factor -a**4/5 + 9*a**2/5 + 4*a/5 - 12/5.
-(a - 3)*(a - 1)*(a + 2)**2/5
Let -3*i**5 - 204*i**4 - 2802*i**3 + 22656*i**2 - 36075*i + 16428 = 0. What is i?
-37, 1, 4
Let -2*p**4/5 + 18*p**3/5 - 56*p**2/5 + 72*p/5 - 32/5 = 0. What is p?
1, 2, 4
Determine j so that 2*j**2/7 - 100*j/7 = 0.
0, 50
Factor -5*w**3 + 4215*w**2 - 8415*w + 4205.
-5*(w - 841)*(w - 1)**2
Factor 2*h**4 + 80*h**3 + 268*h**2 - 11600*h + 11250.
2*(h - 9)*(h - 1)*(h + 25)**2
Factor 4*s**2 - 36*s + 56.
4*(s - 7)*(s - 2)
Factor p**5/3 + 31*p**4/3 - 65*p**3/3 + 11*p**2.
p**2*(p - 1)**2*(p + 33)/3
Factor -3*y**5 - 696*y**4 - 41058*y**3 - 80040*y**2 - 39675*y.
-3*y*(y + 1)**2*(y + 115)**2
Solve -k**2/2 + 183*k - 33489/2 = 0 for k.
183
Solve -y**5 - 10*y**4 - 22*y**3 + 32*y**2 + 95*y + 50 = 0 for y.
-5, -1, 2
Find l, given that -75*l**5/7 - 3405*l**4/7 - 7878*l**3/7 - 5970*l**2/7 - 1551*l/7 - 129/7 = 0.
-43, -1, -1/5
Determine h, given that 3*h**3 - 429*h**2 - 432*h = 0.
-1, 0, 144
Suppose 2*k**5 - 44*k**4/5 + 16*k**3/5 = 0. What is k?
0, 2/5, 4
Factor 3*t**2/4 + 261*t/4 + 615/2.
3*(t + 5)*(t + 82)/4
Find l such that -50*l**5/7 - 360*l**4/7 - 688*l**3/7 - 64*l**2/7 + 480*l/7 - 128/7 = 0.
-4, -2, 2/5
Solve n**4/4 + 17*n**3/2 + 99*n**2 + 486*n + 864 = 0 for n.
-16, -6
Find z such that -z**5/6 - 23*z**4/6 - 193*z**3/6 - 255*z**2/2 - 243*z - 180 = 0.
-10, -4, -3
Factor 3*r**2 - 87*r + 84.
3*(r - 28)*(r - 1)
What is x in 18*x**5 - 1364*x**4 + 32150*x**3 - 226644*x**2 + 150784*x + 45056 = 0?
-2/9, 1, 11, 32
Find b such that 2*b**4 + 112*b**3/5 + 12*b**2/5 - 112*b/5 - 22/5 = 0.
-11, -1, -1/5, 1
Let 2*a**3 + 8*a**2/3 - 56*a/3 + 32/3 = 0. Calculate a.
-4, 2/3, 2
Factor -2*r**3/9 + 2*r**2 - 22*r/9 - 14/3.
-2*(r - 7)*(r - 3)*(r + 1)/9
Suppose 12*z**2 - 1520*z + 1008 = 0. What is z?
2/3, 126
Factor t**3/3 + 37*t**2/3 + 71*t/3 + 35/3.
(t + 1)**2*(t + 35)/3
Solve -5*w**2/4 + 83*w - 33 = 0.
2/5, 66
Factor -j**3/2 - 18*j**2 - 162*j.
-j*(j + 18)**2/2
Factor o**3 - 53*o**2/6 - 47*o/2 - 11/3.
(o - 11)*(o + 2)*(6*o + 1)/6
Solve 2*k**4/23 - 30*k**3/23 - 32*k**2/23 = 0 for k.
-1, 0, 16
Solve -7*a**5/4 + 31*a**4 - 181*a**3/4 - 47*a**2 + 47*a + 16 = 0 for a.
-1, -2/7, 1, 2, 16
Determine v so that -v**4/2 + v**3 - v + 1/2 = 0.
-1, 1
Factor -2*c**2/5 + 9424*c/5 - 11101472/5.
-2*(c - 2356)**2/5
Let -x**4 - 44*x**3 - 484*x**2 = 0. What is x?
-22, 0
Factor -2*g**2 - 206*g - 204.
-2*(g + 1)*(g + 102)
Suppose 2*k**3/25 - 4*k**2 - 424*k/25 - 432/25 = 0. Calculate k.
-2, 54
Suppose -b**4 - 2*b**3 + 8*b**2 = 0. What is b?
-4, 0, 2
Factor -3*j**2/8 + 825*j/2 - 226875/2.
-3*(j - 550)**2/8
Determine m, given that -m**3 - 66*m**2 + 735*m + 76832 = 0.
-49, 32
Suppose f**4/5 - 2*f**3/5 - 4*f**2/5 + 8*f/5 = 0. What is f?
-2, 0, 2
Find b, given that -b**4/10 - 7*b**3/10 - 11*b**2/10 - b/2 = 0.
-5, -1, 0
Let u**2 + 25*u - 54 = 0. Calculate u.
-27, 2
What is g in -g**2/3 - 104*g/3 - 400/3 = 0?
-100, -4
Factor -2*q**4 + 16*q**2 - 32.
-2*(q - 2)**2*(q + 2)**2
Suppose -2*r**2/9 - 56*r/9 + 58/9 = 0. Calculate r.
-29, 1
What is j in 24*j**4/5 - 196*j**3/5 + 312*j**2/5 + 16*j/5 - 96/5 = 0?
-1/2, 2/3, 2, 6
Suppose 3*f**5