8*v**3.
-2*v**3*(v - 1)*(v + 4)
Factor 5*x**4 + 223*x**3 + 639*x**2 + 629*x + 208.
(x + 1)**3*(5*x + 208)
Factor -2*b**4/19 + 16*b**3/19 - 26*b**2/19 + 12*b/19.
-2*b*(b - 6)*(b - 1)**2/19
Factor -w**2 - 308*w.
-w*(w + 308)
Factor -a**5/6 - 10*a**4/3 - 50*a**3/3.
-a**3*(a + 10)**2/6
Factor 2*b**4 + 62*b**3 + 652*b**2 + 2752*b + 4032.
2*(b + 4)**2*(b + 9)*(b + 14)
Solve 5*a**5 + 60*a**4 - 1330*a**2 - 3525*a - 2250 = 0.
-10, -3, -1, 5
Find n such that n**2/5 - 116*n/5 + 23 = 0.
1, 115
Suppose -x**5/7 + x**4 + 8*x**3/7 = 0. Calculate x.
-1, 0, 8
Factor m**5 - 20*m**4 + 53*m**3 - 34*m**2.
m**2*(m - 17)*(m - 2)*(m - 1)
Suppose 735*t**4 - 6020*t**3 + 835*t**2 + 2370*t - 720 = 0. Calculate t.
-2/3, 3/7, 8
Factor -r**2/5 - 1506*r/5 - 3008/5.
-(r + 2)*(r + 1504)/5
Factor 19*u**3 + 40*u**2 + 23*u + 2.
(u + 1)**2*(19*u + 2)
Suppose -2*s**2 - 1212*s - 183618 = 0. Calculate s.
-303
Factor -1270080*w**5 - 2545200*w**4 - 1280165*w**3 - 5050*w**2 - 5*w.
-5*w*(w + 1)**2*(504*w + 1)**2
Let -4*w**5 - 28*w**4 + 2388*w**3 - 4676*w**2 + 2320*w = 0. What is w?
-29, 0, 1, 20
Let -2*x**3 - 6*x**2 + 416*x = 0. What is x?
-16, 0, 13
Factor w**5 + w**4 - 3*w**3 - w**2 + 2*w.
w*(w - 1)**2*(w + 1)*(w + 2)
Factor -2*h**3 + 86*h**2 + 92*h - 176.
-2*(h - 44)*(h - 1)*(h + 2)
Determine j, given that 86*j**2 + 5860*j + 816 = 0.
-68, -6/43
Find p, given that p**3/3 - 20*p**2 + 719*p/3 - 220 = 0.
1, 15, 44
Factor 20*f**3 + 5*f**2 - 500*f - 125.
5*(f - 5)*(f + 5)*(4*f + 1)
Factor -2*a**3 + 74*a**2 - 142*a + 70.
-2*(a - 35)*(a - 1)**2
Factor k**4/3 - 4*k**3/3 + 5*k**2/3 - 2*k/3.
k*(k - 2)*(k - 1)**2/3
Factor -5*t**5/3 - 130*t**4/3 - 355*t**3 - 2860*t**2/3 - 2420*t/3.
-5*t*(t + 2)**2*(t + 11)**2/3
Find y, given that -4*y**3 - 372*y**2 - 10080*y - 63504 = 0.
-42, -9
Find c such that -2*c**4 - 60*c**3 - 568*c**2 - 1476*c + 2106 = 0.
-13, -9, 1
Factor 6*j**2 + 598*j/9 + 44/9.
2*(j + 11)*(27*j + 2)/9
Factor 8*l**4/13 - 270*l**3/13 + 2244*l**2/13 + 578*l/13.
2*l*(l - 17)**2*(4*l + 1)/13
Factor -5*c**3/3 + 35*c**2 - 580*c/3 + 160.
-5*(c - 12)*(c - 8)*(c - 1)/3
Find k, given that k**3 - 86*k**2 + 160*k + 672 = 0.
-2, 4, 84
What is d in -4*d**3 - 108*d**2 - 540*d + 2700 = 0?
-15, 3
Let -2*t**4/19 + 14*t**3/19 + 6*t**2/19 - 46*t/19 + 28/19 = 0. What is t?
-2, 1, 7
Solve -f**2/3 + 730*f/3 - 243 = 0 for f.
1, 729
Factor 5*y**4 + 140*y**3 + 625*y**2 - 770*y.
5*y*(y - 1)*(y + 7)*(y + 22)
Find f such that -5*f**4 + 160*f**3 = 0.
0, 32
Factor -3*c**2/5 + 2709*c/5 - 1620.
-3*(c - 900)*(c - 3)/5
What is r in -2*r**4/13 + 30*r**3/13 - 136*r**2/13 + 168*r/13 = 0?
0, 2, 6, 7
Find i such that -3*i**2/7 + 72*i = 0.
0, 168
Factor g**2 - 53*g/6 - 3/2.
(g - 9)*(6*g + 1)/6
Factor -v**4/2 - 350*v**3 - 60546*v**2 + 246400*v - 247808.
-(v - 2)**2*(v + 352)**2/2
Find n such that 2*n**2 - 112*n + 1568 = 0.
28
Find b such that -12*b**5 - 177*b**4 + 57*b**3 + 177*b**2 - 45*b = 0.
-15, -1, 0, 1/4, 1
Determine v, given that -25*v**2 + 1060*v - 420 = 0.
2/5, 42
Determine y so that -3*y**5 + 189*y**4 + 24*y**3 - 1512*y**2 - 48*y + 3024 = 0.
-2, 2, 63
Factor o**3 - 24*o**2 - 361*o - 840.
(o - 35)*(o + 3)*(o + 8)
Factor -2*h**2 + 1090*h + 2188.
-2*(h - 547)*(h + 2)
Factor n**3/3 - 22*n**2/3 + 119*n/3 - 98/3.
(n - 14)*(n - 7)*(n - 1)/3
Solve -2*m**4/5 - 36*m**3/5 + 6*m**2/5 + 224*m = 0 for m.
-16, -7, 0, 5
Find k, given that 2*k**3 + 12*k**2 + 22*k + 12 = 0.
-3, -2, -1
Factor -2*m**2 + 1200*m - 180000.
-2*(m - 300)**2
Solve -40*s**3 - 345*s**2 - 185*s + 120 = 0.
-8, -1, 3/8
What is c in 3*c**3 - 17*c**2 + 22*c - 8 = 0?
2/3, 1, 4
Factor v**3/12 + 5*v**2 + 19*v + 56/3.
(v + 2)**2*(v + 56)/12
Factor -3*c**3/8 - 21*c**2/2 + 3*c/8 + 21/2.
-3*(c - 1)*(c + 1)*(c + 28)/8
Factor -15*a**3 + a**2 + 46*a - 32.
-(a - 1)*(a + 2)*(15*a - 16)
Determine j, given that -3*j**2 - 87*j - 162 = 0.
-27, -2
Factor -4*o**2 - 1036*o.
-4*o*(o + 259)
Solve 4*g**5/7 + 12*g**4/7 - 80*g**3/7 - 48*g**2 - 320*g/7 = 0.
-4, -2, 0, 5
Factor -v**5 - 7*v**4 - 7*v**3 + 23*v**2 + 8*v - 16.
-(v - 1)**2*(v + 1)*(v + 4)**2
Factor 5*d**4 - 750*d**3 - 2285*d**2 - 1530*d.
5*d*(d - 153)*(d + 1)*(d + 2)
Factor -16*s**3 - 116*s**2 - 188*s - 40.
-4*(s + 2)*(s + 5)*(4*s + 1)
Factor -2*y**3/13 - 28*y**2/13 - 2*y.
-2*y*(y + 1)*(y + 13)/13
Find d such that -3*d**4 - 1335*d**3 - 1329*d**2 + 1335*d + 1332 = 0.
-444, -1, 1
Suppose w**4/4 + 14*w**3 + 419*w**2/2 + 378*w + 729/4 = 0. Calculate w.
-27, -1
Solve f**4/2 - 123*f**3/2 + 1860*f**2 + 1922*f = 0 for f.
-1, 0, 62
Let -2*o**2/5 - 2696*o/3 + 1498/5 = 0. Calculate o.
-2247, 1/3
Factor -3*d**3 + 9*d**2 - 12.
-3*(d - 2)**2*(d + 1)
Factor -l**4/3 - 64*l**3/3 - 1024*l**2/3.
-l**2*(l + 32)**2/3
What is h in 45*h**3/2 - 265*h**2/2 + 375*h/2 + 45/2 = 0?
-1/9, 3
Find o such that -16*o**5/13 - 12*o**4/13 + 6*o**3/13 + 2*o**2/13 = 0.
-1, -1/4, 0, 1/2
Let 3*g**2 + 129*g + 126 = 0. What is g?
-42, -1
Factor 4*n**2 + 153*n + 38.
(n + 38)*(4*n + 1)
Determine p, given that p**5 - 4*p**4 - 6*p**3 + 4*p**2 + 5*p = 0.
-1, 0, 1, 5
Factor -2*s**2/13 - 328*s/13 - 326/13.
-2*(s + 1)*(s + 163)/13
What is g in 3*g**4 + 96*g**3 - 531*g**2 + 876*g - 444 = 0?
-37, 1, 2
Factor -5*i**2 + 490*i - 1425.
-5*(i - 95)*(i - 3)
Suppose 16*i**4/3 - 220*i**3/3 + 116*i**2 - 48*i = 0. What is i?
0, 3/4, 1, 12
What is d in d**3/2 + 60*d**2 - 504*d + 1024 = 0?
-128, 4
Factor -3*h**4 - 42*h**3 + 261*h**2 + 3672*h - 3888.
-3*(h - 9)*(h - 1)*(h + 12)**2
Factor 3*c**5/5 + 3*c**4/5 - 9*c**3/5 - 3*c**2 - 6*c/5.
3*c*(c - 2)*(c + 1)**3/5
Suppose t**5/5 - 26*t**4/5 + 214*t**3/5 - 432*t**2/5 - 243*t + 1458/5 = 0. Calculate t.
-2, 1, 9
Let b**3/4 + 12*b**2 + 192*b + 1024 = 0. Calculate b.
-16
Factor 2*j**4/7 + 40*j**3/7 + 134*j**2/7 + 96*j/7.
2*j*(j + 1)*(j + 3)*(j + 16)/7
Factor r**4/2 - 5*r**3 + 29*r**2/2 - 16*r + 6.
(r - 6)*(r - 2)*(r - 1)**2/2
What is y in 3*y**4 + 375*y**3 - 3*y**2 - 375*y = 0?
-125, -1, 0, 1
Factor -2*s**3/5 - 116*s**2/5.
-2*s**2*(s + 58)/5
Suppose -10*m**4/9 - 66*m**3 + 748*m**2/3 - 1528*m/9 - 112 = 0. Calculate m.
-63, -2/5, 2
Solve r**2/10 - r/5 - 3/10 = 0 for r.
-1, 3
Let 4*q**2 - 204*q - 1888 = 0. What is q?
-8, 59
Let 10*m**3/7 - 86*m**2/7 - 256*m/7 - 88/7 = 0. Calculate m.
-2, -2/5, 11
Solve 20*r**5 - 68*r**4 + 64*r**3 - 16*r**2 = 0.
0, 2/5, 1, 2
What is x in -x**4/3 - 2*x**3 + 11*x**2/3 + 20*x - 100/3 = 0?
-5, 2
Suppose t**3/4 - 15*t**2 + 689*t/4 - 315/2 = 0. Calculate t.
1, 14, 45
Find i, given that 2*i**3/5 - 134*i**2 - 1346*i/5 - 674/5 = 0.
-1, 337
What is r in r**2/2 - 651*r = 0?
0, 1302
Factor -4*n**2/5 + 108*n/5 - 104/5.
-4*(n - 26)*(n - 1)/5
Solve 5*p**4 - 355*p**3 + 4335*p**2 - 6345*p - 68040 = 0.
-3, 9, 56
Factor -2*q**3/7 + 116*q**2/7 + 362*q/7 + 244/7.
-2*(q - 61)*(q + 1)*(q + 2)/7
Let -2*z**4 + 4*z**3 + 16*z**2 - 36*z + 18 = 0. What is z?
-3, 1, 3
Factor 3*q**5 - 42*q**4 + 180*q**3 - 216*q**2.
3*q**2*(q - 6)**2*(q - 2)
Factor i**2/5 - 2*i - 11/5.
(i - 11)*(i + 1)/5
Factor x**3/4 + 87*x**2 - x - 348.
(x - 2)*(x + 2)*(x + 348)/4
Find d, given that -d**2 + 22*d - 121 = 0.
11
Factor 4*k**3/13 + 82*k**2/13.
2*k**2*(2*k + 41)/13
Factor -5*s**3 + 10110*s**2 - 6814140*s + 1530910120.
-5*(s - 674)**3
Factor 3*o**5 - 57*o**4 + 324*o**3 - 384*o**2 - 768*o.
3*o*(o - 8)**2*(o - 4)*(o + 1)
Factor -2*j**3/11 - 14*j**2/11 + 34*j/11 - 18/11.
-2*(j - 1)**2*(j + 9)/11
Factor -2*x**4 + 598*x**3 - 1780*x**2 + 1184*x.
-2*x*(x - 296)*(x - 2)*(x - 1)
Let -f**4 - 21*f**3 - 137*f**2 - 315*f - 198 = 0. Calculate f.
-11, -6, -3, -1
Find n, given that 4*n**4 + 1300*n**3 = 0.
-325, 0
Factor s**3/3 + 10*s**2 + 91*s + 676/3.
(s + 4)*(s + 13)**2/3
Determine r, given that 4*r**5 + 24*r**4 + 52*r**3 + 48*r**2 + 16*r = 0.
-2, -1, 0
Factor -2*d**2/17 - 1532*d/17 - 3056/17.
-2*(d + 2)*(d + 764)/17
Determine c so that 15*c**5 - 130*c**4 + 60*c**3 + 170*c**2 - 75*c - 40 = 0.
-1, -1/3, 1, 8
Solve -26*l**4/3 + 550*l**3/9 + 596*l**2/9 - 32*l/9 = 0 for l.
-1, 0, 2/39, 8
Solve -2*z**2/7 - 320*z/7 - 12800/7 = 0 for z.
-80
Factor -n**3/6 - 11*n**2/3 - 121*n/6.
-n*(n + 11)**2/6
Factor -2*o**3 - 4*o**2 + 16*o.
-2*o*(o - 2)*(o + 4)
Solve 3*z**5/7 + 222*z**4/7 - 1158*z**3/7 + 2112*z**2/7 - 1653*z/7 + 474/7 = 0.
-79, 1, 2
Factor 4*p**2 - 3480*p + 756900.
4*(p - 435)**2
What is l in 5*l**2 + 305*l - 310 = 0?
-62, 1
Find s such that 20*s**4 - 15*s**3 - 105*s**2 - 85*s - 15 = 0.
-1, -1/