**4 + 343*s**3/4 - 209*s**2/2 + 33*s + 10 = 0. Calculate s.
-2/11, 1, 2, 5
Determine z so that -z**5/2 - 2*z**4 - 2*z**3 + z**2 + 5*z/2 + 1 = 0.
-2, -1, 1
Suppose -2*z**3 - 28*z**2 + 62*z - 32 = 0. Calculate z.
-16, 1
Factor -2*q**2/3 + 48*q - 864.
-2*(q - 36)**2/3
Determine l, given that 5*l**4 - 60*l**3 - 140*l**2 = 0.
-2, 0, 14
Suppose 4*k**3/3 - 8*k**2/3 - 4*k/3 + 8/3 = 0. What is k?
-1, 1, 2
Determine h so that -10*h**3 - 115*h**2 - 150*h = 0.
-10, -3/2, 0
Factor -l**3/2 - 1596*l**2 - 1698144*l - 602275072.
-(l + 1064)**3/2
Factor 2*a**3/9 - 58*a**2/3 - 176*a/9.
2*a*(a - 88)*(a + 1)/9
Determine b, given that 5*b**4 - 335*b**3 + 5775*b**2 - 5445*b = 0.
0, 1, 33
Let s**2/2 - 100*s + 5000 = 0. What is s?
100
Factor -2*c**2/5 + 36*c/5 + 46.
-2*(c - 23)*(c + 5)/5
Determine s, given that -8*s**5 + 62*s**4 - 72*s**3 - 86*s**2 + 80*s + 24 = 0.
-1, -1/4, 1, 2, 6
Let f**2/6 + 785*f/6 = 0. What is f?
-785, 0
Find y such that 4*y**2/7 - 47*y/7 - 12/7 = 0.
-1/4, 12
Suppose 3*g**4/5 + 87*g**3/5 + 507*g**2/5 + 1017*g/5 + 594/5 = 0. What is g?
-22, -3, -1
Determine n so that 484*n**2 - 8232*n + 68 = 0.
1/121, 17
Solve -x**2 + 16*x - 15 = 0 for x.
1, 15
Let -4*c**2/5 + 536*c/5 = 0. What is c?
0, 134
Solve 4*i**4/7 - 20*i**3/7 + 32*i**2/7 - 16*i/7 = 0 for i.
0, 1, 2
Solve -2*n**2 - 278*n + 1740 = 0 for n.
-145, 6
Factor -10*s**3 - 7145*s**2 + 10735*s - 3580.
-5*(s - 1)*(s + 716)*(2*s - 1)
Find s, given that -s**5/9 - s**4 - 23*s**3/9 - 7*s**2/9 + 8*s/3 + 16/9 = 0.
-4, -1, 1
Let -5*b**3 - 115*b**2 - 720*b - 1260 = 0. What is b?
-14, -6, -3
Find c, given that -c**3/6 + 17*c**2/6 - 12*c = 0.
0, 8, 9
Find k such that -2*k**2/9 - 4*k + 38/9 = 0.
-19, 1
What is z in 3*z**5 + 9*z**4 - 3*z**3 - 9*z**2 = 0?
-3, -1, 0, 1
Factor 5*c**5 - 30*c**4 + 25*c**3.
5*c**3*(c - 5)*(c - 1)
Factor n**3/4 + 59*n**2/2 - 2367*n/4 + 2754.
(n - 9)**2*(n + 136)/4
Factor -1216*n**3/5 - 160*n**2 - 172*n/5 - 12/5.
-4*(4*n + 1)**2*(19*n + 3)/5
Solve -f**5/12 + f**4/2 = 0 for f.
0, 6
Find r such that 8*r**5/19 + 78*r**4/19 + 244*r**3/19 + 286*r**2/19 + 72*r/19 - 40/19 = 0.
-5, -2, -1, 1/4
Factor 6*t**2/5 + 258*t/5 - 264/5.
6*(t - 1)*(t + 44)/5
Let -4*l**2 - 15900*l + 15904 = 0. Calculate l.
-3976, 1
Factor -5*o**3 - 11*o**2 + 70*o.
-o*(o + 5)*(5*o - 14)
What is a in -a**5/4 + 5*a**4/4 + 21*a**3/4 + 23*a**2/4 + 2*a = 0?
-1, 0, 8
Factor -15*i**3/4 + i**2/2 + 15*i/4 - 1/2.
-(i - 1)*(i + 1)*(15*i - 2)/4
Factor n**2 - 36*n + 324.
(n - 18)**2
Find b, given that 88*b**4 + 252*b**3 - 36*b**2 = 0.
-3, 0, 3/22
Find h such that 3*h**4 - 16*h**3 + 15*h**2 + 6*h - 8 = 0.
-2/3, 1, 4
Factor 5*c**5 + 30*c**4 + 25*c**3 - 120*c**2 - 180*c.
5*c*(c - 2)*(c + 2)*(c + 3)**2
Determine d so that d**5/2 + 4*d**4 - 9*d**3/2 = 0.
-9, 0, 1
Solve u**3 + 389*u**2 + 38024*u + 37636 = 0.
-194, -1
Find a such that a**5/6 - 8*a**4/3 + 23*a**3/6 + 170*a**2/3 + 50*a = 0.
-3, -1, 0, 10
Solve 5*o**4 + 125*o**3 + 345*o**2 + 335*o + 110 = 0.
-22, -1
Factor -l**2/10 + 539*l/5 - 290521/10.
-(l - 539)**2/10
Factor -z**4/3 + 10*z**3/3 + 52*z**2/3 + 56*z/3.
-z*(z - 14)*(z + 2)**2/3
Find k such that -2*k**4 - 134*k**3 + 136*k**2 = 0.
-68, 0, 1
Determine m so that 2*m**4/9 - 62*m**2/9 + 28*m/3 + 16 = 0.
-6, -1, 3, 4
Solve 2*q**4/3 - 2*q**3/3 - 4*q**2/3 = 0.
-1, 0, 2
Let 5*k**2 - 15900*k + 12640500 = 0. What is k?
1590
Find i such that 3*i**2/5 + 264*i + 1317/5 = 0.
-439, -1
Let 2*p**3 + 252*p**2 + 9570*p + 114376 = 0. Calculate p.
-68, -29
Factor -d**2/5 + 104*d/5 - 80.
-(d - 100)*(d - 4)/5
Suppose 3*n**2/4 + 6381*n/2 + 13572387/4 = 0. What is n?
-2127
Factor -2*m**2 - 36*m + 80.
-2*(m - 2)*(m + 20)
Factor 4*i**4 + 168*i**3 + 164*i**2.
4*i**2*(i + 1)*(i + 41)
Factor 5*m**3 + 10*m**2 - 245*m - 490.
5*(m - 7)*(m + 2)*(m + 7)
Find g, given that 4*g**2/5 - 108*g/5 + 40 = 0.
2, 25
Factor -y**3/2 + 3*y**2/2 + 12*y - 40.
-(y - 4)**2*(y + 5)/2
Factor 141267*w**3/2 - 283836*w**2 + 5214*w - 24.
3*(w - 4)*(217*w - 2)**2/2
Factor 4*v**2 + 240*v - 244.
4*(v - 1)*(v + 61)
Let 4*b**3 - 112*b**2 = 0. Calculate b.
0, 28
Factor -2*l**2/15 + 28*l/15 + 16.
-2*(l - 20)*(l + 6)/15
Factor -2*s**4 + 12*s**3 + 32*s**2.
-2*s**2*(s - 8)*(s + 2)
Factor 2*o**5 - 5*o**4 + 4*o**3 - o**2.
o**2*(o - 1)**2*(2*o - 1)
Factor -2*o**4 - 236*o**3 - 9360*o**2 - 127764*o - 118638.
-2*(o + 1)*(o + 39)**3
Determine z so that -4*z**5 + 64*z**4 - 184*z**3 - 576*z**2 - 324*z = 0.
-1, 0, 9
Find m, given that 3*m**3/2 + 48*m**2 + 231*m/2 - 435 = 0.
-29, -5, 2
Factor -j**2/4 - 2*j + 65/4.
-(j - 5)*(j + 13)/4
Suppose -5*q**5 + 50*q**4 - 120*q**3 + 110*q**2 - 35*q = 0. Calculate q.
0, 1, 7
What is f in 4*f**2 - 44*f - 168 = 0?
-3, 14
Determine b, given that -2*b**2/7 + 4012*b - 14084126 = 0.
7021
Solve -2*h**5/17 - 30*h**4/17 - 126*h**3/17 - 98*h**2/17 = 0.
-7, -1, 0
Factor -96*o**3 - 220*o**2 - 164*o - 40.
-4*(o + 1)*(3*o + 2)*(8*o + 5)
Factor -p**4/4 + 13*p**3/4 - 23*p**2/2 + 3*p + 18.
-(p - 6)**2*(p - 2)*(p + 1)/4
Determine d so that -2*d**3 - 18*d**2 - 12*d + 32 = 0.
-8, -2, 1
Factor -o**2/3 + 136*o/3 + 137/3.
-(o - 137)*(o + 1)/3
Let 7*r**4/3 + 10*r**3/3 - r**2/3 - 4*r/3 = 0. Calculate r.
-1, 0, 4/7
Solve d**5/4 + 23*d**4/2 + 307*d**3/2 + 494*d**2 + 2289*d/4 + 441/2 = 0.
-21, -2, -1
Factor 3*z**3/7 - 9*z**2 + 114*z/7.
3*z*(z - 19)*(z - 2)/7
What is h in 3*h**3/2 - 285*h**2/2 + 6909*h/2 - 6627/2 = 0?
1, 47
Factor 3*n**5 + 42*n**4 - 132*n**3 - 456*n**2 + 1824*n - 1536.
3*(n - 2)**3*(n + 4)*(n + 16)
Find u, given that 2*u**4/7 - 16*u**3/7 + 22*u**2/7 + 16*u/7 - 24/7 = 0.
-1, 1, 2, 6
Factor 2*z**2 + 2*z/5.
2*z*(5*z + 1)/5
Factor 52*w**3/5 + 1464*w**2/5 + 224*w/5.
4*w*(w + 28)*(13*w + 2)/5
Factor 3*i**3 - 186*i**2 + 1173*i - 990.
3*(i - 55)*(i - 6)*(i - 1)
Let -28*p**3 - 384*p**2 + 112*p = 0. What is p?
-14, 0, 2/7
Factor d**2 - 32*d + 220.
(d - 22)*(d - 10)
Factor 3*g**2/2 - 75*g/2 + 36.
3*(g - 24)*(g - 1)/2
Suppose -3*v**3/4 + 3*v**2 + 9*v = 0. Calculate v.
-2, 0, 6
Suppose -2*f**2/21 - 58*f/21 + 64/7 = 0. Calculate f.
-32, 3
Solve 1458*f**4 + 52704*f**3 + 480176*f**2 + 70272*f + 2592 = 0 for f.
-18, -2/27
Factor -2*z**4/5 + 404*z**3/5 - 24978*z**2/5 + 462176*z/5 - 2617472/5.
-2*(z - 88)**2*(z - 13)**2/5
Factor -5*m**4/2 + 205*m**3/2 - 2925*m**2/2 + 16055*m/2 - 10985.
-5*(m - 13)**3*(m - 2)/2
Factor q**3 - 40*q**2 + 437*q - 722.
(q - 19)**2*(q - 2)
Find a such that 3*a**2 - 24*a + 36 = 0.
2, 6
What is s in -4*s**4 + 8*s**3 + 12*s**2 - 16*s - 16 = 0?
-1, 2
What is t in -2*t**3/13 - 38*t**2/13 + 176*t/13 - 184/13 = 0?
-23, 2
Find o, given that 5*o**2 - 5*o - 10 = 0.
-1, 2
What is c in 5*c**3 - 40*c**2 + 95*c - 60 = 0?
1, 3, 4
Let 2*h**5/11 + 16*h**4/11 - 38*h**3/11 + 20*h**2/11 = 0. What is h?
-10, 0, 1
Determine o, given that 35*o**4 + 165*o**3 - 505*o**2 + 375*o - 70 = 0.
-7, 2/7, 1
Determine d, given that 11*d**5/3 - 13*d**4/3 - 20*d**3/3 + 4*d**2/3 = 0.
-1, 0, 2/11, 2
Factor 9*u**2/5 + 19*u/5 + 2.
(u + 1)*(9*u + 10)/5
Factor -4*x**3 + 180*x**2 - 1248*x - 18928.
-4*(x - 26)**2*(x + 7)
Determine k so that 2*k**4/7 - 22*k**3/7 + 60*k**2/7 + 64*k/7 - 320/7 = 0.
-2, 4, 5
Solve -u**2/3 - u + 70/3 = 0.
-10, 7
Solve -s**3/5 + 81*s**2/5 - 16*s = 0.
0, 1, 80
Let 2*k**3/7 + 106*k**2/7 - 218*k/7 + 110/7 = 0. Calculate k.
-55, 1
Solve x**2/3 + 7*x + 104/3 = 0 for x.
-13, -8
Let n**2/4 + 249*n/4 + 62 = 0. What is n?
-248, -1
Let -2*z**5/5 - 6*z**4/5 + 12*z**3/5 + 56*z**2/5 + 48*z/5 = 0. Calculate z.
-2, 0, 3
Solve -v**2 + 2059*v/2 + 515 = 0.
-1/2, 1030
What is w in -5*w**3 + 580*w**2 - 8320*w + 32000 = 0?
8, 100
Factor t**5/3 + t**4 + t**3/3 - t**2 - 2*t/3.
t*(t - 1)*(t + 1)**2*(t + 2)/3
Let -k**3/4 + 107*k**2/4 + 27*k = 0. What is k?
-1, 0, 108
Factor -2*g**2 + 8*g + 90.
-2*(g - 9)*(g + 5)
Let -5*x**2 - 40*x + 165 = 0. What is x?
-11, 3
Suppose -x**4 - 6*x**3 + 21*x**2 + 106*x - 120 = 0. What is x?
-6, -5, 1, 4
Find q, given that -8*q**4/3 + 260*q**3/3 - 616*q**2/3 + 484*q/3 - 40 = 0.
1/2, 1, 30
Factor 4*w**3 - 176*w**2 + 2100*w - 3528.
4*(w - 21)**2*(w - 2)
What is w in -2*w**2/11 + 510*w/11 + 512/11 = 0?
-1, 256
Factor -v**2/5 - 7*v/5 - 6/5.
-(v + 1)*(v + 6)/5
Let -5*i**2 = 0. What is i?
0
Factor 2*x**3 + 52*x**2 + 210*x.
2*x*(x + 5)*(x + 21)
Solve 2*q**2 + 60*q + 448 = 0 for q.
-16, -14
Solve -2*s**2/7 + 30*s - 412/7 = 0 for s.
2, 103
Find m such that -4*m**2 + 276*m + 568 = 0.
-2, 71
F