*3 + 28*m**2/3.
-m**2*(m - 7)*(m + 4)/3
Factor 2*g**5/5 - 116*g**4/5 - 366*g**3/5.
2*g**3*(g - 61)*(g + 3)/5
Factor -q**3 + 10*q**2 - 17*q + 8.
-(q - 8)*(q - 1)**2
Find q, given that -3*q**3 - 279*q**2 + 282*q = 0.
-94, 0, 1
Factor -2*y**3/17 + 22*y**2/17 - 40*y/17 - 64/17.
-2*(y - 8)*(y - 4)*(y + 1)/17
Factor -3*z**3/7 + 66*z**2/7 + 192*z/7 - 7680/7.
-3*(z - 16)**2*(z + 10)/7
Factor 12*m**2 - 1401*m - 351.
3*(m - 117)*(4*m + 1)
Let -7*z**2/3 + 901*z/3 - 640/3 = 0. Calculate z.
5/7, 128
Factor 2*y**3/3 + 8*y**2 + 18*y - 80/3.
2*(y - 1)*(y + 5)*(y + 8)/3
Factor -3*k**3/4 + 222*k**2 - 879*k + 876.
-3*(k - 292)*(k - 2)**2/4
Suppose -2*p**2/3 - 40*p/3 + 14 = 0. Calculate p.
-21, 1
Factor -n**3/4 - 156*n**2.
-n**2*(n + 624)/4
What is v in 32*v**4/9 - 86*v**3/9 - 74*v**2/3 + 196*v/9 + 80/9 = 0?
-2, -5/16, 1, 4
What is s in 5*s**4 - 305*s**3 - 330*s**2 + 1220*s + 1240 = 0?
-2, -1, 2, 62
Let -9*r**5 - 16*r**4 + 31*r**3 - 6*r**2 = 0. What is r?
-3, 0, 2/9, 1
Factor 2*n**3 + 50*n**2 + 406*n + 1078.
2*(n + 7)**2*(n + 11)
Suppose 2*b**5 + 38*b**4/3 + 8*b**3/3 - 8*b**2 = 0. Calculate b.
-6, -1, 0, 2/3
Factor k**2 - 22*k + 21.
(k - 21)*(k - 1)
What is s in 2*s**5/13 + 10*s**4/13 - 2*s**3/13 - 10*s**2/13 = 0?
-5, -1, 0, 1
Factor -20*a**3 - 1845*a**2 - 4060*a - 900.
-5*(a + 2)*(a + 90)*(4*a + 1)
Factor 2*g**5 + 6*g**4.
2*g**4*(g + 3)
Suppose 4*l**5 + 104*l**4 + 808*l**3 + 1280*l**2 - 4268*l - 4840 = 0. Calculate l.
-11, -5, -1, 2
Factor -o**2/4 + 15*o/2 + 31/4.
-(o - 31)*(o + 1)/4
What is a in 4*a**2 + 68*a + 120 = 0?
-15, -2
Factor 3*b**3 + 75*b**2 + 72*b.
3*b*(b + 1)*(b + 24)
Find v, given that 15*v**5 + 95*v**4 - 325*v**3 + 305*v**2 - 90*v = 0.
-9, 0, 2/3, 1
Let -q**4/2 + 29*q**3 + 7*q**2/2 - 206*q + 174 = 0. Calculate q.
-3, 1, 2, 58
Factor 3*v**5 + 60*v**4 + 57*v**3.
3*v**3*(v + 1)*(v + 19)
Factor -u**3/2 + 11*u**2/2 - 39*u/2 + 45/2.
-(u - 5)*(u - 3)**2/2
Factor 8*w**3/7 - 26*w**2/7 - 24*w/7.
2*w*(w - 4)*(4*w + 3)/7
Determine n, given that -6*n**5/7 - 332*n**4/7 - 100*n**3/7 + 552*n**2/7 + 106*n/7 - 220/7 = 0.
-55, -1, 2/3, 1
Factor 3*x**2 + 768*x - 771.
3*(x - 1)*(x + 257)
Determine r so that r**3 + 6*r**2 - 19*r - 84 = 0.
-7, -3, 4
Factor 5*b**5 - 30*b**4 + 20*b**3 + 30*b**2 - 25*b.
5*b*(b - 5)*(b - 1)**2*(b + 1)
Factor 2*f**3/17 - 32*f**2/17 + 58*f/17 - 28/17.
2*(f - 14)*(f - 1)**2/17
Factor -2*d**2/13 + 56*d.
-2*d*(d - 364)/13
Let -z**5/2 + z**4 + z**3 - 2*z**2 - z/2 + 1 = 0. What is z?
-1, 1, 2
Factor 27*n**2/5 - 102*n/5 - 24/5.
3*(n - 4)*(9*n + 2)/5
Factor 4*q**2/7 - 3580*q/7 + 3576/7.
4*(q - 894)*(q - 1)/7
Factor -2*k**4 + 38*k**3 + 2*k**2 - 38*k.
-2*k*(k - 19)*(k - 1)*(k + 1)
Suppose -30*z**4 + 125*z**3 - 110*z**2 + 15*z = 0. What is z?
0, 1/6, 1, 3
Find v, given that -3*v**3 + 33*v**2 - 9*v - 405 = 0.
-3, 5, 9
Determine p so that -13*p**4 + p**3 + 91*p**2 - 85*p + 6 = 0.
-3, 1/13, 1, 2
Suppose -5*n**2 + 135*n - 900 = 0. Calculate n.
12, 15
Determine p so that -2*p**4/15 + 4*p**3/3 + 8*p**2/15 - 308*p/15 - 98/5 = 0.
-3, -1, 7
What is r in -5*r**3/6 + 85*r**2/6 - 35*r = 0?
0, 3, 14
Solve 5*c**3 + 15*c**2 - 90*c - 200 = 0 for c.
-5, -2, 4
Solve -5324*p**3 + 126324*p**2 - 999108*p + 2634012 = 0 for p.
87/11
Factor -16*y**2 + 60*y + 184.
-4*(y + 2)*(4*y - 23)
What is p in p**3/2 + 2*p**2 - 6*p = 0?
-6, 0, 2
Find u, given that -u**4/3 - 59*u**3/3 - 775*u**2/3 + 961*u = 0.
-31, 0, 3
Factor 4*d**3 - 404*d**2 - 4*d + 404.
4*(d - 101)*(d - 1)*(d + 1)
Factor -5*g**2 - 65*g - 210.
-5*(g + 6)*(g + 7)
Factor x**3/2 + 27*x**2 + 729*x/2.
x*(x + 27)**2/2
Suppose -4*b**3 + 792*b**2 + 3216*b + 3232 = 0. Calculate b.
-2, 202
Find i such that i**2 + 4*i + 3 = 0.
-3, -1
Factor 2*u**2/3 + 14*u.
2*u*(u + 21)/3
Solve -v**5/3 - 3*v**4 - 7*v**3/3 + 3*v**2 + 8*v/3 = 0 for v.
-8, -1, 0, 1
Let 8*a**5/9 - 197*a**4/9 + 293*a**3/9 + 46*a**2/3 = 0. What is a?
-3/8, 0, 2, 23
Suppose 2*o**2 + 2576*o + 2574 = 0. Calculate o.
-1287, -1
Factor -5*s**2 - 340*s - 5780.
-5*(s + 34)**2
Suppose y**3 + 441*y**2 - 5400*y + 16308 = 0. What is y?
-453, 6
Determine j so that 4*j**4 - 468*j**3 + 19440*j**2 - 326592*j + 1679616 = 0.
9, 36
Factor 147*p**3 + 4032*p**2 - 2340*p + 336.
3*(p + 28)*(7*p - 2)**2
Factor -j**2/2 - 313*j/2 + 157.
-(j - 1)*(j + 314)/2
Factor -22*g**4/3 - 140*g**3/9 - 82*g**2/9 - 8*g/9.
-2*g*(g + 1)**2*(33*g + 4)/9
Let -2*r**4/5 - 228*r**3/5 - 9722*r**2/5 - 183768*r/5 - 1299272/5 = 0. What is r?
-31, -26
Factor 3*d**2/8 + 279*d/8 + 273/4.
3*(d + 2)*(d + 91)/8
Determine l so that -8*l**5 + 72*l**4 + 526*l**3 + 468*l**2 + 112*l = 0.
-4, -1/2, 0, 14
Factor 4*f**3 - 20*f**2 - 88*f - 64.
4*(f - 8)*(f + 1)*(f + 2)
Factor c**3 + 3*c**2 + 3*c + 1.
(c + 1)**3
Factor -2*k**3/21 - 460*k**2/7 - 105800*k/7 - 24334000/21.
-2*(k + 230)**3/21
Find r, given that -r**4/4 + 3*r**2/4 + r/2 = 0.
-1, 0, 2
Find k such that 2*k**5/3 - 2*k**4/3 - 14*k**3 + 30*k**2 = 0.
-5, 0, 3
Find s, given that 2*s**4 - 2*s**2 = 0.
-1, 0, 1
Determine j so that 2*j**3 + 66*j**2 + 64*j = 0.
-32, -1, 0
Factor 2*f**2/7 - 78*f/7.
2*f*(f - 39)/7
Solve -4*f**3 + 20*f**2 + 408*f - 864 = 0 for f.
-9, 2, 12
Determine i so that -2*i**4/7 - 118*i**3/21 - 76*i**2/21 = 0.
-19, -2/3, 0
Solve -3*z**3 - 42*z**2 - 171*z - 216 = 0 for z.
-8, -3
Factor 2*m**3 - 226*m**2 - 232*m + 456.
2*(m - 114)*(m - 1)*(m + 2)
Let -y**4/5 + 11*y**3 - 225*y**2 + 2025*y - 6750 = 0. What is y?
10, 15
Let -r**2/7 + 1816*r/7 - 824464/7 = 0. What is r?
908
Find i, given that 2*i**4/9 - 76*i**3/9 + 142*i**2/9 + 76*i/9 - 16 = 0.
-1, 1, 2, 36
Let -116*d**4 - 456*d**3 + 844*d**2 + 1104*d - 80 = 0. What is d?
-5, -1, 2/29, 2
Determine f, given that -5*f**5 - 30*f**4 + 15*f**3 + 100*f**2 + 60*f = 0.
-6, -1, 0, 2
What is r in -2*r**2 + 356*r = 0?
0, 178
Find o such that -6*o**4/5 + 2*o**3/5 + 16*o**2/5 + 8*o/5 = 0.
-1, -2/3, 0, 2
Suppose -x**3/6 + 11*x**2/3 - 115*x/6 + 25 = 0. Calculate x.
2, 5, 15
Factor 2*l**2 + 236*l + 6962.
2*(l + 59)**2
Let h**2/7 + 283*h/7 - 858/7 = 0. What is h?
-286, 3
Factor 276*a**3/5 - 824*a**2/5 - 12*a/5.
4*a*(a - 3)*(69*a + 1)/5
Factor 5*v**3/4 + 35*v**2/4 - 30*v - 225.
5*(v - 5)*(v + 6)**2/4
Determine x so that -12*x**4 - 351*x**3/5 + 12*x**2 + 36*x/5 = 0.
-6, -1/4, 0, 2/5
Factor 3*m**4 - 33*m**3 - 165*m**2 - 219*m - 90.
3*(m - 15)*(m + 1)**2*(m + 2)
Solve -5*b**2 + 30*b + 135 = 0 for b.
-3, 9
Factor -4*y**4 + 28*y**2 - 24*y.
-4*y*(y - 2)*(y - 1)*(y + 3)
Determine q so that 3*q**5/2 - 3*q**4 + 3*q**2 - 3*q/2 = 0.
-1, 0, 1
Solve 6*n**5/13 + 2672*n**4/13 + 19336*n**3/13 + 27968*n**2/13 - 28032*n/13 = 0 for n.
-438, -4, 0, 2/3
Solve 5*m**5/4 + 21*m**4/2 + 111*m**3/4 + 49*m**2/2 + 6*m = 0.
-4, -3, -1, -2/5, 0
Factor 3*z**3 + 75*z**2 + 237*z - 315.
3*(z - 1)*(z + 5)*(z + 21)
Factor 3*c**2 + 180*c + 672.
3*(c + 4)*(c + 56)
Find i such that -2*i**4/5 - i**3/5 + 56*i**2/5 - 68*i/5 - 48/5 = 0.
-6, -1/2, 2, 4
Factor -g**2/3 - 3584*g/3.
-g*(g + 3584)/3
Factor 12*j**4 + 3*j**3 - 33*j**2 + 18*j.
3*j*(j - 1)*(j + 2)*(4*j - 3)
Factor 3*d**4 - 186*d**3 - 2631*d**2 - 2442*d.
3*d*(d - 74)*(d + 1)*(d + 11)
Solve -5*u**3 + 40*u**2 + 165*u = 0.
-3, 0, 11
Suppose 3*a**4/5 + 93*a**3/5 + 552*a**2/5 = 0. What is a?
-23, -8, 0
Factor -w**2/4 - 9*w/4 + 81/2.
-(w - 9)*(w + 18)/4
Solve -p**2/2 + 1814*p = 0.
0, 3628
Find o such that o**3/6 + 5*o**2/2 - 39*o/2 + 63/2 = 0.
-21, 3
Let -5*k**3 + 75*k**2 + 1785*k - 27455 = 0. Calculate k.
-19, 17
Solve -f**2 + 26*f - 25 = 0 for f.
1, 25
Suppose -2*l**2/3 - 14*l/3 - 4 = 0. Calculate l.
-6, -1
Factor -3*v**3/4 - 29*v**2/2 + 103*v/4 - 21/2.
-(v - 1)*(v + 21)*(3*v - 2)/4
Factor -5*h**3 + 205*h**2 - 1400*h + 2640.
-5*(h - 33)*(h - 4)**2
Factor -f**2/4 - 644*f.
-f*(f + 2576)/4
Factor 2*m**3/5 + 118*m**2/5 - 244*m/5.
2*m*(m - 2)*(m + 61)/5
Let -4*n**4 - 264*n**3 - 768*n**2 - 760*n - 252 = 0. What is n?
-63, -1
Solve 5*q**3 + 405*q**2 - 1280*q - 1680 = 0.
-84, -1, 4
Factor x**3/2 - 45*x**2/2 + 87*x/2 - 43/2.
(x - 43)*(x - 1)**2/2
Determine c, given that -5*c**3/6 - 200*c**2/3 + 2155*c/6 + 425 = 0.
-85, -1, 6
Factor 5*r**2 + 220*r - 460.
5*(r - 2)*(r + 46)
Factor 3*u**3 - 141*u**2 + 528*u - 516.
3*(u - 43)*(u - 2)**2
Determine d so that d**3 + 12*d**2 + 20*d = 0.
-10, -2, 0
Solve a**2/3 + 114*a + 9747 = 0 for a.
-171
Determine j so that j**4 + 323*j**3 + 26562*j**2 + 77440*j + 51200 = 0.
-160, -2, -1
Factor 2*j**3/7 +