+ 86)/2
What is c in 18*c**5/17 - 112*c**4/17 - 138*c**3/17 + 288*c**2/17 - 56*c/17 = 0?
-2, 0, 2/9, 1, 7
Find z such that -2*z**2/7 - 472*z/7 - 27848/7 = 0.
-118
Factor -p**3/3 - p**2 + 4/3.
-(p - 1)*(p + 2)**2/3
Factor -2*k**2/11 + 720*k/11 - 64800/11.
-2*(k - 180)**2/11
Solve -c**3/2 - 157*c**2/2 = 0.
-157, 0
Factor -14*a**2/3 - 44236*a/3 + 12640/3.
-2*(a + 3160)*(7*a - 2)/3
Solve -10*t**4/9 + 466*t**3/9 + 386*t**2/3 + 878*t/9 + 196/9 = 0 for t.
-1, -2/5, 49
Factor a**5/8 + a**4/2 - 3*a**3/8 - 9*a**2/4.
a**2*(a - 2)*(a + 3)**2/8
Suppose 5*c**3 + 165*c**2 + 1440*c + 1280 = 0. Calculate c.
-16, -1
Factor 2*a**5 - 16*a**4 + 50*a**3 - 76*a**2 + 56*a - 16.
2*(a - 2)**3*(a - 1)**2
Determine w, given that -144*w**4/5 + 27192*w**3/5 - 22537*w**2/5 - 4323*w/5 - 188/5 = 0.
-1/12, 1, 188
Find p, given that p**5/2 + 53*p**4/2 + 337*p**3 - 391*p**2 - 675*p/2 + 729/2 = 0.
-27, -1, 1
Let -w**3/3 + 2*w**2/3 + w/3 - 2/3 = 0. What is w?
-1, 1, 2
Factor o**3 - 7*o**2 - 8*o.
o*(o - 8)*(o + 1)
Factor 3*j**2/5 + 408*j/5 + 1197/5.
3*(j + 3)*(j + 133)/5
Factor 3*b**3/2 - 11*b**2 - 8*b.
b*(b - 8)*(3*b + 2)/2
Factor s**2 - 20*s + 19.
(s - 19)*(s - 1)
Factor 2*v**3/7 - 6*v**2/7 - 32*v/7 - 24/7.
2*(v - 6)*(v + 1)*(v + 2)/7
Determine d, given that -4*d**3 - 480*d**2 - 5328*d - 15552 = 0.
-108, -6
Let -4*a**4 + 48*a**3 + 220*a**2 - 600*a = 0. Calculate a.
-5, 0, 2, 15
What is v in v**3/6 + 125*v**2/6 + 1281*v/2 - 1323/2 = 0?
-63, 1
Find h, given that 2*h**4 - 70*h**3 - 146*h**2 - 74*h = 0.
-1, 0, 37
Find g, given that g**3/3 + 13*g**2/3 - 38*g = 0.
-19, 0, 6
Factor -2*g**5/7 - 100*g**4/7 + 128*g**3 - 1856*g**2/7.
-2*g**2*(g - 4)**2*(g + 58)/7
Let -p**5/8 + 3*p**4/4 - 5*p**3/4 + 11*p/8 - 3/4 = 0. What is p?
-1, 1, 2, 3
Factor -d**2/2 - 9*d/2 - 10.
-(d + 4)*(d + 5)/2
What is z in -4*z**5 - 20*z**4/7 + 36*z**3/7 + 20*z**2/7 - 8*z/7 = 0?
-1, 0, 2/7, 1
Determine r, given that r**5/4 + 9*r**4/4 + 19*r**3/4 + 3*r**2/4 - 5*r - 3 = 0.
-6, -2, -1, 1
Let -2*j**2/3 - 112*j/9 + 38/9 = 0. Calculate j.
-19, 1/3
Let -74*z**2/7 - 149*z/7 - 2/7 = 0. What is z?
-2, -1/74
Let 5*t**2/3 + 50*t/3 - 55/3 = 0. What is t?
-11, 1
Solve -g**5/4 + 3*g**4 - 15*g**3/2 + 7*g**2 - 9*g/4 = 0.
0, 1, 9
Suppose 4*j**4 - 12*j**3 + 4*j**2 + 12*j - 8 = 0. Calculate j.
-1, 1, 2
Factor z**4/5 - 18*z**3/5 + 81*z**2/5 - 108*z/5.
z*(z - 12)*(z - 3)**2/5
Factor y**2 + 58*y + 112.
(y + 2)*(y + 56)
Let -33*g**4 - 471*g**3 - 1578*g**2 - 1716*g - 360 = 0. Calculate g.
-10, -2, -3/11
Factor z**4 + 44*z**3/3 + 223*z**2/3 + 430*z/3 + 200/3.
(z + 4)*(z + 5)**2*(3*z + 2)/3
Factor -4*c**2 - 32320*c - 65286400.
-4*(c + 4040)**2
Factor 4*z**4/3 - 4*z**3 - 16*z**2/3.
4*z**2*(z - 4)*(z + 1)/3
Suppose l**2/2 - 15*l + 225/2 = 0. Calculate l.
15
Factor -4*v**3 - 32*v**2 - 84*v - 72.
-4*(v + 2)*(v + 3)**2
Suppose -2*g**3 + 2382*g**2 + 9552*g + 9560 = 0. Calculate g.
-2, 1195
Find b such that 121*b**5/4 - 297*b**4/4 - 61*b**3 + 281*b**2 - 240*b + 64 = 0.
-2, 8/11, 1, 2
Factor -h**5 - 5*h**4 - 6*h**3 + 4*h**2 + 8*h.
-h*(h - 1)*(h + 2)**3
Factor 9*a**4 - 29*a**3 - 127*a**2 - 131*a - 42.
(a - 6)*(a + 1)**2*(9*a + 7)
Suppose -2*f**3/9 + 26*f/3 + 140/9 = 0. What is f?
-5, -2, 7
Solve 2*l**3/5 - 8*l**2 = 0.
0, 20
Suppose -o**5/4 + 123*o**4/4 - 3463*o**3/4 - 19587*o**2/4 - 7072*o - 3072 = 0. Calculate o.
-3, -1, 64
Solve n**2/10 - 367*n/10 + 546/5 = 0.
3, 364
Factor 2*f**4 + 52*f**3 + 138*f**2 - 8*f - 184.
2*(f - 1)*(f + 2)**2*(f + 23)
Factor u**2/2 + 1245*u/2 - 623.
(u - 1)*(u + 1246)/2
Factor -3*n**2 + 888*n + 10131.
-3*(n - 307)*(n + 11)
Determine r so that 5*r**5/6 - 265*r**4/2 + 22145*r**3/3 - 434515*r**2/3 - 1192605*r/2 + 222222065/6 = 0.
-13, 43
Find i, given that -5*i**3 + 3920*i**2 = 0.
0, 784
Factor 3*d**3/4 - 45*d**2/4 + 375.
3*(d - 10)**2*(d + 5)/4
Factor -2*v**3/9 + 2*v/9.
-2*v*(v - 1)*(v + 1)/9
Factor 5*x**4 - 615*x**3 + 23100*x**2 - 164560*x - 3833280.
5*(x - 44)**3*(x + 9)
Factor 2*p**4 - 14*p**3 - 36*p**2 + 216*p + 432.
2*(p - 6)**2*(p + 2)*(p + 3)
Factor -2*k**2 + 4*k + 48.
-2*(k - 6)*(k + 4)
Factor -4*u**5 - 52*u**4 + 444*u**3 + 1604*u**2 + 1688*u + 576.
-4*(u - 8)*(u + 1)**3*(u + 18)
Solve 44*g**4/3 - 716*g**3/3 + 284*g**2 - 60*g = 0 for g.
0, 3/11, 1, 15
Factor -2*q**2 - 70*q - 132.
-2*(q + 2)*(q + 33)
Find b, given that -b**4/2 + 43*b**3/2 + 89*b**2/2 + 45*b/2 = 0.
-1, 0, 45
Solve -3*o**3 + 48*o**2 + 201*o - 570 = 0 for o.
-5, 2, 19
Suppose -242*v**3/3 - 6248*v**2/3 + 1142*v/3 - 52/3 = 0. What is v?
-26, 1/11
Factor 5*o**2 + 3030*o + 3025.
5*(o + 1)*(o + 605)
Solve 2*f**5 - 32*f**4 - 74*f**3 + 32*f**2 + 72*f = 0 for f.
-2, -1, 0, 1, 18
Factor 3*q**3/8 - 21*q**2/8 - 63*q/8 + 81/8.
3*(q - 9)*(q - 1)*(q + 3)/8
Suppose 2*j**3/15 + 16*j**2/15 - 38*j/15 + 4/3 = 0. What is j?
-10, 1
Factor -2*u**3/21 - 1952*u**2/21 - 476288*u/21.
-2*u*(u + 488)**2/21
Factor 7*n**2 + 64*n + 132.
(n + 6)*(7*n + 22)
Suppose a**2/3 - 20*a + 224/3 = 0. Calculate a.
4, 56
Suppose -x**4/8 - 31*x**3/8 - 87*x**2/8 - 85*x/8 - 7/2 = 0. Calculate x.
-28, -1
What is p in 4*p**3 + 6*p**2 + 2*p = 0?
-1, -1/2, 0
Factor 27*i**3 + 39*i**2 - 28*i + 4.
(i + 2)*(3*i - 1)*(9*i - 2)
Solve -s**4/5 - 84*s**3/5 + s**2/5 + 84*s/5 = 0 for s.
-84, -1, 0, 1
Factor m**5/2 + 3*m**4/2 - 3*m**3/2 - 7*m**2/2 + 3*m.
m*(m - 1)**2*(m + 2)*(m + 3)/2
Factor -2*m**2/9 + 14*m/9 - 4/3.
-2*(m - 6)*(m - 1)/9
Solve -2*y**5/7 + 12*y**4/7 + 2*y**3/7 - 76*y**2/7 + 64/7 = 0 for y.
-2, -1, 1, 4
Determine i, given that -5*i**4 - 95*i**3 - 385*i**2 - 505*i - 210 = 0.
-14, -3, -1
Suppose 325*s**5/6 + 3755*s**4/6 + 2365*s**3/3 - 1630*s**2/3 - 100*s = 0. Calculate s.
-10, -2, -2/13, 0, 3/5
Factor 55*x**4 - 10*x**3 - 200*x**2.
5*x**2*(x - 2)*(11*x + 20)
Suppose 3*o**4 + 27*o**3 + 69*o**2 + 9*o - 108 = 0. Calculate o.
-4, -3, 1
Factor r**5 + r**4 - 18*r**3 - 18*r**2 + 81*r + 81.
(r - 3)**2*(r + 1)*(r + 3)**2
Factor 4*j**2/3 + 76*j/3 + 280/3.
4*(j + 5)*(j + 14)/3
Factor u**3/3 + 34*u**2/3 - u/3 - 34/3.
(u - 1)*(u + 1)*(u + 34)/3
Determine a so that 2*a**5/3 + 4*a**4 - 70*a**3/3 + 32*a**2 - 40*a/3 = 0.
-10, 0, 1, 2
Factor -x**2 - 95*x + 96.
-(x - 1)*(x + 96)
Factor 2*p**4/11 + 80*p**3/11 + 624*p**2/11 - 320*p + 352.
2*(p - 2)**2*(p + 22)**2/11
Find b, given that -4*b**2 - 104*b - 192 = 0.
-24, -2
Factor 3363*a**2 - 3357*a - 6.
3*(a - 1)*(1121*a + 2)
Factor 80*k**4 + 3960*k**3 - 1995*k**2 + 250*k.
5*k*(k + 50)*(4*k - 1)**2
Suppose -5*v**2 + 35*v = 0. What is v?
0, 7
Factor -d**3 + 11*d**2 - 20*d - 32.
-(d - 8)*(d - 4)*(d + 1)
Factor -4*l**3/3 - 232*l**2/3 + 980*l/3 - 248.
-4*(l - 3)*(l - 1)*(l + 62)/3
What is n in -2*n**4 + 1576*n**3 - 465708*n**2 + 61162984*n - 3012276962 = 0?
197
What is g in -2*g**3 + 16*g**2 + 2*g - 16 = 0?
-1, 1, 8
Factor -2*v**2/3 + 1766*v/3.
-2*v*(v - 883)/3
Let -3*d**5 - 327*d**4 - 9693*d**3 - 42753*d**2 - 57720*d - 24336 = 0. Calculate d.
-52, -3, -1
Suppose -5*p**2 - 20*p - 15 = 0. What is p?
-3, -1
Factor o**3 - 237*o**2 + 13923*o + 14161.
(o - 119)**2*(o + 1)
Solve -15*x**3/7 - 129*x**2/7 + 204*x/7 - 60/7 = 0 for x.
-10, 2/5, 1
Let 5*r**2 + 80*r - 525 = 0. Calculate r.
-21, 5
Solve 8*l**5 - 20*l**4 - 112*l**3 + 348*l**2 - 144*l = 0.
-4, 0, 1/2, 3
Factor t**4/2 - 7*t**3/2 - 5*t**2 + 8*t.
t*(t - 8)*(t - 1)*(t + 2)/2
Factor -9*n**3 - 294*n**2 - 732*n - 360.
-3*(n + 2)*(n + 30)*(3*n + 2)
Let -5*q**4/3 - 44*q**3/3 - 42*q**2 - 36*q + 9 = 0. What is q?
-3, 1/5
Factor -8*u**3/3 + 6*u**2 - u/3 - 2.
-(u - 2)*(2*u + 1)*(4*u - 3)/3
What is f in f**3 + 8*f**2 + 9*f - 18 = 0?
-6, -3, 1
Factor w**3/6 + 13*w**2/6 + 23*w/3 + 8.
(w + 2)*(w + 3)*(w + 8)/6
Find u, given that -3*u**2/2 + 177*u/2 + 90 = 0.
-1, 60
Factor 5*f**5 + 20*f**4 + 20*f**3 - 10*f**2 - 25*f - 10.
5*(f - 1)*(f + 1)**3*(f + 2)
Find k, given that -2*k**2/3 - 784*k = 0.
-1176, 0
Factor 38*j**4 - 612*j**3 + 2496*j**2 - 256*j.
2*j*(j - 8)**2*(19*j - 2)
Factor -k**3 + 23*k**2 + 469*k + 1813.
-(k - 37)*(k + 7)**2
Factor 3*b**3 - 15*b**2 + 24*b - 12.
3*(b - 2)**2*(b - 1)
What is u in 18*u**4/17 + 88*u**3/17 + 134*u**2/17 + 56*u/17 - 8/17 = 0?
-2, -1, 1/9
Determine t so that -25*t**2 + 13660*t - 5460 = 0.
2/5, 546
Factor -c**4/4 + 13*c**3/4 - 51*c**2/4 + 35*c/4 + 25.
-(c - 5)**2*(c - 4)*(c + 1)/4
Suppose 3*u**5 - 90*u**4 + 108*u**3 + 1878*u**2 - 5679*u + 3780 = 0. Calculate u.
-5, 1, 3, 28
Suppose -g**3/6 + 41*g**2/6 + 22*g/3 -