*3 - v**2.
-v**2*(v - 1)**2
Suppose -2*i**4/9 + 22*i**3/9 - 2*i**2 - 238*i/9 - 196/9 = 0. What is i?
-2, -1, 7
Find o, given that -o**2 - 10*o - 9 = 0.
-9, -1
Factor 16*y**5 - 20*y**4 - 284*y**3 + 904*y**2 - 848*y + 160.
4*(y - 2)**3*(y + 5)*(4*y - 1)
Suppose 3*h**3/4 - 219*h**2/4 + 210*h - 207 = 0. What is h?
2, 69
Find h such that 6*h**5 - 33*h**4 + 30*h**3 + 60*h**2 - 36*h - 27 = 0.
-1, -1/2, 1, 3
Let 5*p**5 + 45*p**4 - 145*p**3 - 405*p**2 - 220*p = 0. What is p?
-11, -1, 0, 4
What is c in 12*c**3/7 - 22*c**2/7 + 6*c/7 = 0?
0, 1/3, 3/2
Determine r so that 5*r**4/2 - 65*r**3/2 + 115*r**2/2 - 55*r/2 = 0.
0, 1, 11
Find c, given that -2*c**2/7 - 10992*c/7 - 15103008/7 = 0.
-2748
Factor -y**5 + 2*y**4 + y**3 - 2*y**2.
-y**2*(y - 2)*(y - 1)*(y + 1)
Determine q so that -2*q**5/13 - 40*q**4/13 - 212*q**3/13 - 32*q**2 - 346*q/13 - 8 = 0.
-13, -4, -1
Solve 3*v**2/4 + 84*v - 1755/4 = 0 for v.
-117, 5
Factor -3*p**4 - 15*p**3 + 18*p**2 + 96*p - 96.
-3*(p - 2)*(p - 1)*(p + 4)**2
Factor 5*n**4/2 + 27*n**3/2 + 15*n**2 + 4*n.
n*(n + 1)*(n + 4)*(5*n + 2)/2
Determine s, given that -2*s**2 - 40*s - 200 = 0.
-10
Solve -3*u**5 + 12*u**4 + 9*u**3 - 30*u**2 - 24*u = 0.
-1, 0, 2, 4
Factor -2*f**2/13 - 90*f/13 - 700/13.
-2*(f + 10)*(f + 35)/13
Suppose n**2/5 - 1768*n/5 + 781456/5 = 0. Calculate n.
884
Let -w**4 + 6*w**3 + 4*w**2 - 24*w = 0. What is w?
-2, 0, 2, 6
Factor -2*i**2/3 - 22*i/3 - 16.
-2*(i + 3)*(i + 8)/3
Find s, given that -123*s**4/2 - 271*s**3 + 206*s**2 + 119*s + 15/2 = 0.
-5, -1/3, -3/41, 1
Find v such that -2*v**2/3 + 36*v + 114 = 0.
-3, 57
Solve -8*w**5 - 12*w**4 + 100*w**3 + 60*w**2 - 92*w - 48 = 0.
-4, -1, -1/2, 1, 3
What is y in 2*y**5/17 - 262*y**4/17 + 11078*y**3/17 - 134730*y**2/17 - 680400*y/17 - 729000/17 = 0?
-2, 45
Find v such that 6*v**3 + 538*v**2 - 726*v + 182 = 0.
-91, 1/3, 1
Let -2*g**2/25 + 16*g - 800 = 0. What is g?
100
What is n in n**2/5 - 9*n/5 - 1102/5 = 0?
-29, 38
Suppose 5*d**3 - 155*d**2 - 500*d - 340 = 0. What is d?
-2, -1, 34
Factor 2*o**3/3 - 125*o**2/6 + 31*o/6.
o*(o - 31)*(4*o - 1)/6
Factor 3*z**3/4 + 63*z**2/4 - 135*z/4 + 69/4.
3*(z - 1)**2*(z + 23)/4
Determine j so that j**5/3 - 20*j**4/3 + 118*j**3/3 - 60*j**2 + 27*j = 0.
0, 1, 9
Factor -8*o**5 + 40*o**4 - 66*o**3 + 40*o**2 - 8*o.
-2*o*(o - 2)**2*(2*o - 1)**2
Factor v**5/3 - v**4/3 - 14*v**3/3 + 28*v**2/3 + 8*v/3 - 32/3.
(v - 2)**3*(v + 1)*(v + 4)/3
Factor -4*b**4 - 32*b**3 - 24*b**2 + 32*b + 28.
-4*(b - 1)*(b + 1)**2*(b + 7)
Find d such that -d**3/2 - 11*d**2 - 57*d/2 = 0.
-19, -3, 0
Factor -120*r**2 - 1443*r - 36.
-3*(r + 12)*(40*r + 1)
Factor -o**4 + 10*o**3 + o**2 - 10*o.
-o*(o - 10)*(o - 1)*(o + 1)
Suppose 2*i**5 - 8*i**4 - 2*i**3 + 8*i**2 = 0. Calculate i.
-1, 0, 1, 4
Find t, given that 3*t**2/2 + 165*t + 324 = 0.
-108, -2
Find y such that -3*y**5 - 114*y**4 + 486*y**3 - 744*y**2 + 501*y - 126 = 0.
-42, 1
Factor -j**4/11 - 12*j**3/11 + j**2/11 + 12*j/11.
-j*(j - 1)*(j + 1)*(j + 12)/11
Let -5*v**4 - 15*v**3 + 15*v**2 + 55*v + 30 = 0. Calculate v.
-3, -1, 2
Determine s, given that 2*s**2/9 - 316*s/9 = 0.
0, 158
Factor 3*p**2/2 - 90*p - 186.
3*(p - 62)*(p + 2)/2
Suppose -2*v**2 + 26*v - 24 = 0. Calculate v.
1, 12
Let n**5/2 - 3*n**4 + 7*n**3/2 + 3*n**2 - 4*n = 0. What is n?
-1, 0, 1, 2, 4
Suppose 2*f**3 + 46*f**2 - 48*f = 0. Calculate f.
-24, 0, 1
Determine b, given that -2*b**4/3 - 64*b**3/3 - 622*b**2/3 - 1736*b/3 - 392 = 0.
-14, -3, -1
Find o, given that 3*o**5/5 - 828*o**4/5 + 2463*o**3/5 - 1638*o**2/5 = 0.
0, 1, 2, 273
Determine u, given that 5202*u**4 + 34068*u**3 + 64346*u**2 + 28056*u + 3528 = 0.
-3, -14/51
Determine j so that -22*j**5 + 3*j**4 + 37*j**3 + j**2 - 15*j - 4 = 0.
-1, -1/2, -4/11, 1
Factor -2*q**4 + 22*q**3 + 2*q**2 - 22*q.
-2*q*(q - 11)*(q - 1)*(q + 1)
Let 5*d**3/6 - 65*d**2/6 + 10*d = 0. What is d?
0, 1, 12
Find x, given that x**2/5 + 4164*x/5 + 4334724/5 = 0.
-2082
Suppose 204*g**3 + 1359*g**2 + 1431*g + 276 = 0. Calculate g.
-92/17, -1, -1/4
What is t in 2*t**3 - 58*t**2 + 368*t - 672 = 0?
4, 21
Factor -2*g**5 + 20*g**3 + 40*g**2 + 30*g + 8.
-2*(g - 4)*(g + 1)**4
Factor m**2/2 + 6*m - 54.
(m - 6)*(m + 18)/2
Suppose -2*h**2/5 + 98*h/5 + 20 = 0. What is h?
-1, 50
Factor 282*i**2 + 176*i - 8.
2*(3*i + 2)*(47*i - 2)
Solve -5*q**2/4 - 5*q - 5 = 0.
-2
Factor b**2 + 34*b + 289.
(b + 17)**2
Factor 121*c**2/2 + 66*c + 18.
(11*c + 6)**2/2
Factor 2*f**4 - 68*f**3 - 80*f**2 + 356*f - 210.
2*(f - 35)*(f - 1)**2*(f + 3)
Factor -27*t**3 + 1935*t**2 - 1281*t + 213.
-3*(t - 71)*(3*t - 1)**2
Let 2*k**2/13 - 24*k/13 + 40/13 = 0. What is k?
2, 10
Factor -5*u**4 + 120*u**3 - 590*u**2 - 1560*u - 845.
-5*(u - 13)**2*(u + 1)**2
Factor -12*l**4/11 + 1130*l**3/11 - 26696*l**2/11 + 4418*l/11.
-2*l*(l - 47)**2*(6*l - 1)/11
Factor 2*y**3/15 + 2836*y**2/5 + 4021448*y/5 + 5702413264/15.
2*(y + 1418)**3/15
Suppose -2*p**3/7 = 0. Calculate p.
0
Solve -l**2/9 + 7*l/9 - 2/3 = 0 for l.
1, 6
Suppose -h**2 + 18*h + 40 = 0. What is h?
-2, 20
Factor -35*l**3 + 915*l**2 - 940*l - 1500.
-5*(l - 25)*(l - 2)*(7*l + 6)
Let 9*x**5/2 + 8*x**4 - 85*x**3/2 - 72*x**2 + 18*x = 0. Calculate x.
-3, -2, 0, 2/9, 3
What is m in -2*m**2/13 + 242*m/13 - 4200/13 = 0?
21, 100
Determine q so that -q**2/3 - 7*q - 104/3 = 0.
-13, -8
Factor 11*c**2/4 - c - 7/4.
(c - 1)*(11*c + 7)/4
Factor -5*s**2 - 125*s - 230.
-5*(s + 2)*(s + 23)
Factor 21*w**2/8 + 237*w/8 + 33/4.
3*(w + 11)*(7*w + 2)/8
Determine q so that 125*q**3/3 + 27100*q**2 + 10835*q + 3250/3 = 0.
-650, -1/5
What is m in 4*m**5 - 8*m**4 - 104*m**3 + 324*m - 216 = 0?
-3, 1, 6
Factor -4*d**2/3 + 492*d.
-4*d*(d - 369)/3
Let -4*y**4 - 52*y**3 + 136*y**2 + 208*y - 480 = 0. Calculate y.
-15, -2, 2
What is f in f**3/4 + 351*f**2/4 + 30975*f/4 + 30625/4 = 0?
-175, -1
Factor -3*u**2/2 - 11979*u - 47832147/2.
-3*(u + 3993)**2/2
Factor z**4 + 16*z**3 + 49*z**2 - 66*z.
z*(z - 1)*(z + 6)*(z + 11)
Factor -5*j**4 + j**3 + 4*j**2.
-j**2*(j - 1)*(5*j + 4)
Factor 2*g**3/15 - 14*g**2/15 + 4*g/3.
2*g*(g - 5)*(g - 2)/15
Factor -y**3/6 + y**2/3 + 10*y/3 + 4.
-(y - 6)*(y + 2)**2/6
Determine w, given that -w**2/6 + 2*w/3 = 0.
0, 4
Factor -2*k**2/5 - 24*k/5 + 26/5.
-2*(k - 1)*(k + 13)/5
Let -5*x**5 + 20*x**4 + 75*x**3 - 70*x**2 - 140*x + 120 = 0. What is x?
-2, 1, 6
Factor 2*x**5/7 + 10*x**4/7 + 20*x**3/7 + 20*x**2/7 + 10*x/7 + 2/7.
2*(x + 1)**5/7
Determine v so that 5*v**5 - 560*v**4 + 15680*v**3 = 0.
0, 56
What is o in -2*o**2/11 + 388*o - 206998 = 0?
1067
Factor o**2/4 - o - 24.
(o - 12)*(o + 8)/4
Factor -39*a**2/2 - 141*a/2 + 30.
-3*(a + 4)*(13*a - 5)/2
Suppose 2*r**2/7 + 1940*r/7 - 3888/7 = 0. What is r?
-972, 2
What is b in -4*b**3 + 1600*b**2 + 4828*b + 3224 = 0?
-2, -1, 403
Factor -4*a**3 - 180*a**2 - 348*a - 172.
-4*(a + 1)**2*(a + 43)
Factor -5*w**5 - 100*w**4 + 1375*w**3 - 3750*w**2.
-5*w**2*(w - 5)**2*(w + 30)
Determine q so that -2*q**4 - 88*q**3 + 374*q**2 - 476*q + 192 = 0.
-48, 1, 2
Factor 108*a**3 + 1072*a**2 - 1268*a + 88.
4*(a - 1)*(a + 11)*(27*a - 2)
Factor -10*o**2 + 61*o/6 - 1/6.
-(o - 1)*(60*o - 1)/6
What is g in -g**5 + 43*g**4 + 185*g**3 + 141*g**2 = 0?
-3, -1, 0, 47
Solve 4*u**2 + 1368*u - 11200 = 0 for u.
-350, 8
Factor -2*x**2/7 - 4*x/7 + 16/7.
-2*(x - 2)*(x + 4)/7
Suppose 2*v**2 + 824*v + 84872 = 0. Calculate v.
-206
Determine d, given that 2*d**3/15 + 472*d**2 + 2086238*d/5 - 12545764/15 = 0.
-1771, 2
Factor f**3 + 21*f**2 + 120*f + 208.
(f + 4)**2*(f + 13)
Solve 7*a**4 - 26*a**3 + 13*a**2 + 6*a = 0.
-2/7, 0, 1, 3
Factor -4*b**4 + 148*b**3 - 868*b**2 - 11172*b + 24696.
-4*(b - 21)**2*(b - 2)*(b + 7)
Factor -4*p**2 + 140*p + 1176.
-4*(p - 42)*(p + 7)
Factor -4*v**2 + 300*v - 296.
-4*(v - 74)*(v - 1)
Factor 3*j**4/5 - 84*j**3/5 + 588*j**2/5.
3*j**2*(j - 14)**2/5
Determine m, given that 240*m**4 - 20840*m**3 + 17255*m**2 - 4735*m + 430 = 0.
1/4, 1/3, 86
Suppose -5*b**2 - 1945*b - 5790 = 0. Calculate b.
-386, -3
Factor 3*j**2 + 405*j + 402.
3*(j + 1)*(j + 134)
Factor s**2 + 20*s - 96.
(s - 4)*(s + 24)
Factor -2*w**3/3 - 8*w**2 - 82*w/3 - 20.
-2*(w + 1)*(w + 5)*(w + 6)/3
Factor w**5/2 - 3*w**3/2 + w**2.
w**2*(w - 1)**2*(w + 2)/2
Determine f, given that 2*f**2 + 14*f - 588 = 0.
-21, 14
Determine c so that -2*c**2 + 52*c - 50 = 0.
1, 25
Determine p so that -p**4 - 4*p**3 + 6*p**2 + 4*p - 5 = 0.
-5, -1, 1
Suppose -g**3/3 - 65*g**2/3 - 1088*g/3