r 3*v**5 - 267*v**4 - 1683*v**3 - 2565*v**2.
3*v**2*(v - 95)*(v + 3)**2
Determine o, given that o**4/3 + 109*o**3/3 - 221*o**2/3 + 37*o = 0.
-111, 0, 1
Solve -5*r**3 - 5*r**2 + 25*r - 15 = 0.
-3, 1
Find i, given that -3*i**3 + 6*i**2 + 3*i - 6 = 0.
-1, 1, 2
Suppose -45*w**5 + 1425*w**4 - 7910*w**3 + 10430*w**2 - 4525*w + 625 = 0. What is w?
1/3, 1, 5, 25
Find n, given that 4*n**5 + 44*n**4 - 120*n**3 - 176*n**2 + 416*n = 0.
-13, -2, 0, 2
Factor -w**4/7 + 22*w**3/7 - 137*w**2/7 + 20*w + 300/7.
-(w - 10)**2*(w - 3)*(w + 1)/7
What is h in h**5/4 + 4*h**4 - 35*h**3/4 + 9*h**2/2 = 0?
-18, 0, 1
Factor -3*f**4 - 471*f**3 - 24804*f**2 - 446160*f - 421824.
-3*(f + 1)*(f + 52)**3
Factor -t**3/3 - 4*t**2/3 - t.
-t*(t + 1)*(t + 3)/3
Suppose -340707*b**2 + 8088*b - 48 = 0. Calculate b.
4/337
Determine p, given that p**3/3 - 7*p**2 - 42*p - 104/3 = 0.
-4, -1, 26
Determine k so that 3*k**3 + 87*k**2 - 183*k + 93 = 0.
-31, 1
Suppose y**3 - 1278*y**2 - 2559*y - 1280 = 0. Calculate y.
-1, 1280
Let -49*b**4/2 + 273*b**3/2 - 219*b**2 + 94*b - 12 = 0. What is b?
2/7, 2, 3
Factor 18*t**5/7 - 40*t**4/7 + 8*t**3/7.
2*t**3*(t - 2)*(9*t - 2)/7
Factor f**3/4 + 17*f**2/2 + 115*f/4 - 75/2.
(f - 1)*(f + 5)*(f + 30)/4
What is q in 55*q**2 - 490*q - 45 = 0?
-1/11, 9
Find n such that -n**5/9 - n**4/3 + 19*n**3/9 + 83*n**2/9 + 34*n/3 + 40/9 = 0.
-4, -2, -1, 5
Determine o, given that 2*o**3/5 - 44*o**2/5 + 318*o/5 - 756/5 = 0.
6, 7, 9
Let -f**3/3 + 2134*f**2/3 + 4271*f/3 + 712 = 0. What is f?
-1, 2136
Factor 2*l**2/5 + 162*l/5 + 32.
2*(l + 1)*(l + 80)/5
Factor 2*l**3 + 18*l**2 + 48*l + 32.
2*(l + 1)*(l + 4)**2
Solve h**3/9 + 7*h**2/9 + 11*h/9 + 5/9 = 0 for h.
-5, -1
Solve -5*i**5/3 - 160*i**4/3 + 5*i**3 + 470*i**2/3 - 320*i/3 = 0.
-32, -2, 0, 1
Factor 5*w**2/6 - 175*w - 1060/3.
5*(w - 212)*(w + 2)/6
Suppose 5*m**2 + 4010*m - 4015 = 0. What is m?
-803, 1
Let 2*t**4 - 82*t**3 + 1170*t**2 - 6422*t + 8788 = 0. What is t?
2, 13
Suppose -d**4/8 - d**3 - 15*d**2/8 + d + 2 = 0. Calculate d.
-4, -1, 1
Factor -2*g**2/15 + 6*g/5 + 28/3.
-2*(g - 14)*(g + 5)/15
Suppose 2*z**3 - 32*z**2 + 40*z + 224 = 0. What is z?
-2, 4, 14
Factor -3*x**2 + 678*x - 38307.
-3*(x - 113)**2
Suppose -q**5/6 + q**4 + 25*q**3/6 - 35*q**2/3 - 4*q + 32/3 = 0. What is q?
-4, -1, 1, 2, 8
Factor -5*w**2/3 - 82*w/3 - 35.
-(w + 15)*(5*w + 7)/3
Find g, given that 158*g**2/19 - 8*g - 6/19 = 0.
-3/79, 1
Suppose 6*o**5 - 2*o**4 - 6*o**3 + 2*o**2 = 0. What is o?
-1, 0, 1/3, 1
Factor -11*o**3/4 - 29*o**2 + 61*o/4 + 33/2.
-(o - 1)*(o + 11)*(11*o + 6)/4
Find f, given that 891*f**4 + 2667*f**3 + 2655*f**2 + 873*f - 6 = 0.
-1, 2/297
Factor -3*h**2 + 1737*h + 1740.
-3*(h - 580)*(h + 1)
Determine l, given that -l**3/2 - 207*l**2/2 - 10815*l/2 - 10609/2 = 0.
-103, -1
Determine w so that 2*w**4/9 + 4*w**3/3 - 622*w**2/9 + 1184*w/3 - 2944/9 = 0.
-23, 1, 8
Find n such that 2*n**2/15 + 88*n/15 + 56/5 = 0.
-42, -2
Factor -x**2/2 + 45*x - 89/2.
-(x - 89)*(x - 1)/2
Solve -r**5/3 + 11*r**4/3 + 26*r**3/3 + 2*r**2/3 - 25*r/3 - 13/3 = 0 for r.
-1, 1, 13
Factor -2*p**3/9 + 32*p**2/9 - 50*p/3 + 24.
-2*(p - 9)*(p - 4)*(p - 3)/9
Let 2*a**2 - 18320*a + 41952800 = 0. Calculate a.
4580
Solve -175*u**5 + 930*u**4 + 700*u**3 + 120*u**2 = 0 for u.
-2/5, -2/7, 0, 6
Factor 3*x**2 + 762*x + 48387.
3*(x + 127)**2
Let -18*p**5/13 + 384*p**4/13 - 1406*p**3/13 + 1384*p**2/13 - 408*p/13 = 0. Calculate p.
0, 2/3, 3, 17
Factor -2*p**2/7 + 6*p/7 + 36/7.
-2*(p - 6)*(p + 3)/7
Factor -v**2 + 290*v - 21025.
-(v - 145)**2
Let 25*g**3/3 - 510*g**2 - 412*g - 248/3 = 0. Calculate g.
-2/5, 62
Factor 5*g**2 + 75*g + 70.
5*(g + 1)*(g + 14)
Determine f, given that -12*f**4 + 8*f**3 + 108*f**2 + 88*f = 0.
-2, -1, 0, 11/3
What is o in -o**3 + 80*o**2 - 1972*o + 13872 = 0?
12, 34
Factor 14*v**4 - 48*v**3 - 38*v**2 + 24*v.
2*v*(v - 4)*(v + 1)*(7*v - 3)
Suppose c**5/7 + 20*c**4/7 + 33*c**3/7 - 58*c**2/7 - 68*c/7 + 72/7 = 0. What is c?
-18, -2, 1
Factor -27*g**4/7 + 26*g**3/7 + g**2/7.
-g**2*(g - 1)*(27*g + 1)/7
Factor -q**5 + 3*q**4 + 6*q**3 - 10*q**2 - 21*q - 9.
-(q - 3)**2*(q + 1)**3
Factor 3*s**4/4 - 585*s**3/2 + 114075*s**2/4.
3*s**2*(s - 195)**2/4
Let 4*f**5 + 52*f**4 - 484*f**3 - 532*f**2 = 0. What is f?
-19, -1, 0, 7
Solve 36*o**2/5 - 2*o/5 = 0 for o.
0, 1/18
Find x, given that 4*x**2/5 - 88*x/5 - 92/5 = 0.
-1, 23
Find t such that 237276*t**3 - 127764*t**2 + 22932*t - 1372 = 0.
7/39
Factor -2*l**2/7 - 18*l/7 - 16/7.
-2*(l + 1)*(l + 8)/7
Factor -s**3/4 + 15*s**2 + 123*s/4 + 31/2.
-(s - 62)*(s + 1)**2/4
Factor u**4/11 + u**3/11 - u**2/11 - u/11.
u*(u - 1)*(u + 1)**2/11
Factor 2*z**3/9 - 8*z**2 - 2*z/9 + 8.
2*(z - 36)*(z - 1)*(z + 1)/9
Factor -3*w**2/2 - 75*w/2 + 126.
-3*(w - 3)*(w + 28)/2
Determine g so that 4*g**5/3 + 24*g**4 + 436*g**3/3 + 336*g**2 + 784*g/3 = 0.
-7, -2, 0
Find j such that -j**2 - 175*j - 346 = 0.
-173, -2
What is r in 8*r**5/7 + 64*r**4/7 - 66*r**3 + 722*r**2/7 - 410*r/7 + 78/7 = 0?
-13, 1/2, 1, 3
Let 5*j**4 - 1375*j**3 = 0. What is j?
0, 275
Factor -3*o**2 + 42*o - 144.
-3*(o - 8)*(o - 6)
Let -3*i**5 - 13*i**4 - 16*i**3 - 4*i**2 = 0. Calculate i.
-2, -1/3, 0
Solve -6*c**3/11 - 138*c**2/11 + 144*c/11 = 0 for c.
-24, 0, 1
Factor 2*o**4 - 6*o**3 - 12*o**2 + 16*o.
2*o*(o - 4)*(o - 1)*(o + 2)
Find m such that m**5/5 - 2*m**3/5 + m/5 = 0.
-1, 0, 1
Solve 2*p**5 + 157*p**4/2 + 471*p**3/2 + 46*p**2 - 290*p - 72 = 0.
-36, -2, -1/4, 1
Factor -4*o**3 - 12*o**2 + 112*o.
-4*o*(o - 4)*(o + 7)
Factor 2*t**4 - 180*t**3 - 1976*t**2 - 2544*t + 14400.
2*(t - 100)*(t - 2)*(t + 6)**2
Find c, given that 2*c**3/15 - 142*c**2/15 + 3094*c/15 - 21386/15 = 0.
17, 37
Factor -2*m**4/9 - 2*m**3/3 + 26*m**2/9 + 10*m/3.
-2*m*(m - 3)*(m + 1)*(m + 5)/9
Determine n so that -5*n**2 + 405*n + 830 = 0.
-2, 83
Let 3*m**3 - 372*m**2 + 735*m - 366 = 0. Calculate m.
1, 122
Let w**3 - 12*w**2 - 61*w - 48 = 0. Calculate w.
-3, -1, 16
Suppose -m**4/6 - 207*m**3 - 384397*m**2/6 + 128754*m - 193442/3 = 0. Calculate m.
-622, 1
Suppose -5*s**3 + 285*s**2 + 590*s = 0. What is s?
-2, 0, 59
Factor -3*t**5 + 3*t**4 + 15*t**3 - 3*t**2 - 24*t - 12.
-3*(t - 2)**2*(t + 1)**3
Factor 15*r**2 - 11*r - 4.
(r - 1)*(15*r + 4)
Factor 4*c**3/3 - 80*c**2/3 + 112*c.
4*c*(c - 14)*(c - 6)/3
Factor -2*v**3/5 + 16*v**2 + 82*v/5.
-2*v*(v - 41)*(v + 1)/5
Suppose f**5/3 + 2*f**4 + 4*f**3/3 - 6*f**2 - 5*f/3 + 4 = 0. Calculate f.
-4, -3, -1, 1
Factor 2*b**2/17 - 58*b/17.
2*b*(b - 29)/17
Find r, given that r**3 - 7*r**2 + 14*r - 8 = 0.
1, 2, 4
Factor -2116*k**5 - 11960*k**4 - 21040*k**3 - 8480*k**2 + 5120*k - 512.
-4*(k + 2)**3*(23*k - 4)**2
Factor 7*y**5/5 + 33*y**4/5 + 32*y**3/5 - 8*y**2 - 48*y/5 + 16/5.
(y - 1)*(y + 2)**3*(7*y - 2)/5
Determine s, given that -s**4 - 24*s**3 + 79*s**2 - 54*s = 0.
-27, 0, 1, 2
What is h in -h**4 - 71*h**3/5 - h**2/5 + 191*h/5 + 126/5 = 0?
-14, -1, 9/5
Solve -m**2/8 + 571*m/4 - 326041/8 = 0.
571
Solve -3*q**3/5 + 36*q**2/5 - 87*q/5 + 54/5 = 0.
1, 2, 9
Find z such that 2*z**4 + 14*z**3 - 6*z**2 - 46*z - 28 = 0.
-7, -1, 2
Suppose 4*i**3 + 40*i**2 + 112*i + 96 = 0. Calculate i.
-6, -2
Factor 3*f**3 - 21*f + 18.
3*(f - 2)*(f - 1)*(f + 3)
Suppose -4*b**2 - 532*b = 0. What is b?
-133, 0
Determine m, given that 28*m**4 - 128*m**3 + 108*m**2 + 72*m = 0.
-3/7, 0, 2, 3
Factor j**3/3 - 2*j**2 + 5*j/3 + 4.
(j - 4)*(j - 3)*(j + 1)/3
Factor 5*z**2 + 1020*z + 1015.
5*(z + 1)*(z + 203)
Find i such that 4*i**5 - 28*i**4 + 44*i**3 + 28*i**2 - 48*i = 0.
-1, 0, 1, 3, 4
Suppose 225*d**4/4 + 735*d**3/4 - 179*d**2 - 57*d - 4 = 0. Calculate d.
-4, -2/15, 1
Factor -5*m**3 - 100*m**2 - 205*m + 850.
-5*(m - 2)*(m + 5)*(m + 17)
Factor v**2 + 238*v + 705.
(v + 3)*(v + 235)
Factor 5*l**2 - 1910*l.
5*l*(l - 382)
Factor -b**3/2 - b**2 - b/2.
-b*(b + 1)**2/2
Factor -3*c**3/4 - 879*c**2/4 - 1749*c/4 - 873/4.
-3*(c + 1)**2*(c + 291)/4
Factor 2*l**3 + 3148*l**2 - 12616*l + 12624.
2*(l - 2)**2*(l + 1578)
Suppose -2*q**4/13 + 16*q**3/13 + 2*q**2 - 64*q/13 - 72/13 = 0. Calculate q.
-2, -1, 2, 9
Factor -7*n**2/2 + 103*n/2 - 180.
-(n - 9)*(7*n - 40)/2
Let -2*w**3/5 + 292*w**2/5 - 1142*w/5 + 852/5 = 0. Calculate w.
1, 3, 142
Factor -4*w**2/3 - 1376*w/3 + 2800.
-4*(w - 6)*(w + 350)/3
Factor 2*t**2/15 - 2*t/3.
2*t*(t - 5)/15
Suppose 6*v**2 + 3*v - 135 = 0. Calculate v.
-5, 9/2
Let 3*j**3 - 804*j**2 + 1599*j - 798 = 0. Calculate j.
1, 266