
Factor 2*f**2 + 40*f + 102.
2*(f + 3)*(f + 17)
Factor -2*u**2/11 + 192*u/11 - 266.
-2*(u - 77)*(u - 19)/11
Let -4*o**3/9 + 88*o**2/9 - 164*o/9 + 80/9 = 0. What is o?
1, 20
Solve -36*s**4 + 120*s**3 - 16*s**2 - 56*s - 12 = 0 for s.
-1/3, 1, 3
Factor -4*j**4/3 + 4*j**3 + 36*j**2 - 180*j + 216.
-4*(j - 3)**3*(j + 6)/3
Suppose 31*s**3/7 + 122*s**2/7 - 8*s/7 = 0. What is s?
-4, 0, 2/31
Factor 1132*s**4/7 + 484*s**3 + 3372*s**2/7 + 1108*s/7 - 8/7.
4*(s + 1)**3*(283*s - 2)/7
Suppose 14*v**4/5 - 1018*v**3/5 - 3456*v**2/5 - 3032*v/5 - 608/5 = 0. Calculate v.
-2, -1, -2/7, 76
Find k such that 2*k**4/3 + 4*k**3/3 - 4*k/3 - 2/3 = 0.
-1, 1
Find z such that -3*z**2/4 - 1719*z/4 + 861/2 = 0.
-574, 1
Factor 4*f**5 - 20*f**4 + 40*f**3 - 40*f**2 + 20*f - 4.
4*(f - 1)**5
Factor i**5 + 35*i**4 + 288*i**3 - 324*i**2.
i**2*(i - 1)*(i + 18)**2
Let -4*m**3/5 + 524*m**2/5 + 320*m + 1072/5 = 0. Calculate m.
-2, -1, 134
Let 5*m**2 + 730*m + 2145 = 0. Calculate m.
-143, -3
Solve -3*z**2/2 - 99*z/2 + 105 = 0 for z.
-35, 2
Find l, given that 147*l**4 - 5712*l**3 + 52128*l**2 + 65280*l + 19200 = 0.
-4/7, 20
Solve -3*y**2 + 48*y + 51 = 0.
-1, 17
Factor -c**3/5 + 1919*c**2/5 - 921599*c/5 + 919681/5.
-(c - 959)**2*(c - 1)/5
Factor a**3 - 1007*a**2.
a**2*(a - 1007)
Factor 2*j**4/7 + 2*j**3 + 32*j**2/7 + 24*j/7.
2*j*(j + 2)**2*(j + 3)/7
Factor -2*i**2 - 50*i + 1312.
-2*(i - 16)*(i + 41)
Factor 2*s**2/3 + 160*s/3 + 154.
2*(s + 3)*(s + 77)/3
Determine u so that 2*u**2/11 + 106*u/11 + 644/11 = 0.
-46, -7
Find g such that 3*g**2 - 75*g - 162 = 0.
-2, 27
Solve 5*c**2 - 910*c + 41405 = 0 for c.
91
Find m such that -m**2 + 49 = 0.
-7, 7
Determine g so that 18*g**5/5 + 159*g**4/5 + 117*g**3/5 - 24*g**2/5 = 0.
-8, -1, 0, 1/6
Factor -2*y**3 - 60*y**2 + 432*y.
-2*y*(y - 6)*(y + 36)
Factor 4*y**3/3 + 4*y**2/3 - 16*y/3 - 16/3.
4*(y - 2)*(y + 1)*(y + 2)/3
What is m in 6*m**5 - 3*m**4 - 102*m**3 - 165*m**2 - 12*m + 60 = 0?
-2, -1, 1/2, 5
Factor 2*p**3/7 + 40*p**2/7 + 72*p/7.
2*p*(p + 2)*(p + 18)/7
What is m in -m**3 + 50*m**2 + 600*m = 0?
-10, 0, 60
Suppose 8*s**4/13 - 146*s**3/13 - 836*s**2/13 - 886*s/13 + 276/13 = 0. What is s?
-3, -2, 1/4, 23
Find r, given that 2*r**5/3 - 2*r**4 - 8*r**3/3 = 0.
-1, 0, 4
Factor 4*o**4 - 160*o**3 + 1428*o**2 + 3528*o.
4*o*(o - 21)**2*(o + 2)
Factor y**2 - 28*y + 52.
(y - 26)*(y - 2)
Solve 5*m**3/3 - 45*m**2 + 370*m/3 - 80 = 0.
1, 2, 24
Suppose -4*c**5 - 16*c**4 - 8*c**3 + 16*c**2 + 12*c = 0. Calculate c.
-3, -1, 0, 1
Factor -3*g**3 - 1932*g**2 - 309111*g + 625974.
-3*(g - 2)*(g + 323)**2
Find z such that 81*z**3/4 - 315*z**2/4 + 58*z - 12 = 0.
4/9, 3
Solve 16*p**3/19 - 282*p**2/19 + 1188*p/19 + 486/19 = 0.
-3/8, 9
Find r, given that 3*r**5/4 + 9*r**4/4 + 9*r**3/4 + 3*r**2/4 = 0.
-1, 0
Find a such that 4*a**5/7 + 8*a**4 + 212*a**3/7 + 304*a**2/7 + 144*a/7 = 0.
-9, -2, -1, 0
Factor -4*c**4 + 396*c**2 - 1960*c + 2400.
-4*(c - 5)**2*(c - 2)*(c + 12)
Factor 2*l**3/3 - 132*l**2 - 266*l - 400/3.
2*(l - 200)*(l + 1)**2/3
Factor -k**5/5 - 2*k**4/5 + 4*k**3 - 24*k**2/5.
-k**2*(k - 2)**2*(k + 6)/5
Find f, given that -2*f**4/9 + 4*f**3/3 + 34*f**2/9 - 4*f/3 - 32/9 = 0.
-2, -1, 1, 8
Factor 5*f**2/2 - 135*f - 275/2.
5*(f - 55)*(f + 1)/2
Find n, given that n**2 + 150*n = 0.
-150, 0
Factor 2*x**4/9 - 20*x**3/3 - 22*x**2/3 + 124*x/9.
2*x*(x - 31)*(x - 1)*(x + 2)/9
Let l**2 + 398*l + 39601 = 0. Calculate l.
-199
Factor 3*s**5/2 - 3*s**4 + 3*s**2 - 3*s/2.
3*s*(s - 1)**3*(s + 1)/2
What is x in x**2 - 51*x = 0?
0, 51
Find l such that -4*l**2 - 20*l + 336 = 0.
-12, 7
Factor -4*h**2 - 348*h + 1456.
-4*(h - 4)*(h + 91)
Suppose -5*u**2 - 11340*u = 0. What is u?
-2268, 0
Find w, given that -3*w**3 + 135*w**2 - 2016*w + 9996 = 0.
14, 17
Suppose -5*y**4 - 5*y**3 + 15*y**2 + 25*y + 10 = 0. Calculate y.
-1, 2
Solve -2*j**5 + 18*j**4 - 64*j**3 + 112*j**2 - 96*j + 32 = 0.
1, 2
Let 2*g**2 + 9064*g + 10269512 = 0. What is g?
-2266
Suppose 2*c**3 + 26*c**2 + 60*c = 0. Calculate c.
-10, -3, 0
Factor 3*l**4 + 60*l**3 + 18*l**2 - 3588*l - 3549.
3*(l - 7)*(l + 1)*(l + 13)**2
Determine m, given that m**4 - 32*m**3 - 39*m**2 + 198*m = 0.
-3, 0, 2, 33
Let -3*f**2 - 1092*f - 2172 = 0. Calculate f.
-362, -2
Factor 4*h**3 + 5732*h**2 - 4*h - 5732.
4*(h - 1)*(h + 1)*(h + 1433)
Factor 6*s**2/5 + 28*s - 474/5.
2*(s - 3)*(3*s + 79)/5
Factor t**3/4 - 61*t**2/2 + 899*t + 1922.
(t - 62)**2*(t + 2)/4
Factor -3*h**5/7 - 216*h**4/7 - 4707*h**3/7 - 18330*h**2/7 + 261612*h/7 - 474552/7.
-3*(h - 3)**2*(h + 26)**3/7
Factor 2*b**2/15 - 1612*b/15 + 324818/15.
2*(b - 403)**2/15
Factor 3*n**4/2 + 3*n**3 - 6*n**2 - 12*n.
3*n*(n - 2)*(n + 2)**2/2
Let -3*a**4 + 6*a**3 + 9*a**2 - 12*a - 12 = 0. What is a?
-1, 2
Solve -t**3/2 - t**2 + 3*t/2 = 0 for t.
-3, 0, 1
Factor -3*q**3 - 9*q**2 + 12.
-3*(q - 1)*(q + 2)**2
Determine f, given that 4*f**3/3 + 8*f**2 - 28*f/3 - 80 = 0.
-5, -4, 3
Let d**3/3 + 22*d**2 + 384*d + 2048/3 = 0. What is d?
-32, -2
Solve 2*c**4 + 12*c**3 + 26*c**2 + 24*c + 8 = 0.
-2, -1
Factor 2*h**4/3 + 80*h**3/3 + 292*h**2 + 1520*h/3 + 722/3.
2*(h + 1)**2*(h + 19)**2/3
What is u in -2*u**5/3 + 308*u**4/3 - 12460*u**3/3 + 46504*u**2/3 - 18950*u + 7500 = 0?
1, 2, 75
Let w**5/3 + 10*w**4/3 + 7*w**3 = 0. Calculate w.
-7, -3, 0
Find f such that -2*f**3/3 + 38*f**2/3 + 284*f/3 + 400/3 = 0.
-4, -2, 25
Suppose 4*c**4 + 164*c**3 + 140*c**2 - 788*c + 480 = 0. What is c?
-40, -3, 1
Factor 3*g**4/5 + 9*g**3/5 + 3*g**2/5 - 9*g/5 - 6/5.
3*(g - 1)*(g + 1)**2*(g + 2)/5
Factor -4*b**2 + 96*b - 576.
-4*(b - 12)**2
What is s in -s**2 + 151*s - 444 = 0?
3, 148
Factor 4*r**4/3 + 20*r**3/3 + 16*r**2/3.
4*r**2*(r + 1)*(r + 4)/3
Factor -2*n**2 + 94*n - 740.
-2*(n - 37)*(n - 10)
Factor 4*j**4 - 112*j**3 + 1104*j**2 - 4480*j + 6400.
4*(j - 10)**2*(j - 4)**2
Factor -2*h**2 - 1136*h - 161312.
-2*(h + 284)**2
Suppose -3*l**4/7 - 354*l**3/7 - 348*l**2/7 + 354*l/7 + 351/7 = 0. Calculate l.
-117, -1, 1
Factor -64*h**4 - 2656*h**3 + 1340*h**2 - 168*h.
-4*h*(h + 42)*(4*h - 1)**2
Find r such that -2*r**2 + 10*r + 408 = 0.
-12, 17
Let -3*g**2/7 + 192*g/7 - 3072/7 = 0. What is g?
32
Let 5*q**3 - 1865*q**2 + 3715*q - 1855 = 0. Calculate q.
1, 371
What is q in -q**4 - 6*q**3 + 43*q**2 + 300*q + 252 = 0?
-6, -1, 7
Find z such that 10*z**5 + 25*z**4 - 35*z**3 - 110*z**2 - 20*z + 40 = 0.
-2, -1, 1/2, 2
Find l such that 2*l**4/7 + 24*l**3/7 + 10*l**2 + 48*l/7 = 0.
-8, -3, -1, 0
Factor -3*z**2/7.
-3*z**2/7
Suppose -2*f**3 + 6*f + 4 = 0. Calculate f.
-1, 2
Solve 4*i**3 - 2304*i**2 - 9268*i - 6960 = 0 for i.
-3, -1, 580
Find x, given that -12*x**5/7 + 468*x**4/7 - 189*x**3 + 978*x**2/7 - 216*x/7 = 0.
0, 1/2, 2, 36
Factor -2*p**3/5 - 238*p**2/5 - 5488*p/5 - 35672/5.
-2*(p + 14)**2*(p + 91)/5
Solve -4*k**2 - 1748*k - 1744 = 0.
-436, -1
Factor x**5 - 9*x**4 + 14*x**3 + 56*x**2 - 96*x - 128.
(x - 4)**3*(x + 1)*(x + 2)
Solve 10*z**2 + 245*z/4 - 150 = 0.
-8, 15/8
Factor 5*v**2/6 + 35*v/3 + 20.
5*(v + 2)*(v + 12)/6
Let h**4/3 - 13*h**3/3 + 46*h**2/3 - 4*h - 24 = 0. What is h?
-1, 2, 6
Determine w so that -2*w**5 - 46*w**4 + 108*w**3 + 196*w**2 - 106*w - 150 = 0.
-25, -1, 1, 3
Factor -5*z**4 + 5*z**3 + 25*z**2 + 15*z.
-5*z*(z - 3)*(z + 1)**2
What is t in -2*t**4/11 - 62*t**3/11 + 222*t**2/11 + 622*t/11 + 340/11 = 0?
-34, -1, 5
Find r, given that r**2/6 - 203*r/3 + 135/2 = 0.
1, 405
Determine o, given that o**4/4 + o**3/2 - o/2 - 1/4 = 0.
-1, 1
Factor c**2/2 - 4*c - 10.
(c - 10)*(c + 2)/2
Factor -r**2/2 - 495*r - 245025/2.
-(r + 495)**2/2
Factor 2*w**4/3 - 26*w**3/3 + 44*w**2/3.
2*w**2*(w - 11)*(w - 2)/3
Factor -3*b**5 + 1749*b**4 - 252282*b**3 - 767370*b**2 - 770883*b - 257547.
-3*(b - 293)**2*(b + 1)**3
Find s such that -3*s**5/7 - 15*s**4/7 + 123*s**3/7 - 249*s**2/7 + 204*s/7 - 60/7 = 0.
-10, 1, 2
Let 7*g**5/4 + 5*g**4/2 - 79*g**3/2 + 51*g**2 - 9*g/4 - 27/2 = 0. Calculate g.
-6, -3/7, 1, 3
Factor -j**3/4 + 1109*j**2/4 - 76450*j - 231852.
-(j - 556)**2*(j + 3)/4
Determine w, given that w**3/2 + 7*w**2 + 57*w/2 + 36 = 0.
-8, -3
Determine k, given that -2*k**2 - 92*k - 176 = 0.
-44, -2
Factor 3*d**5 - 6*d**4 + 3*d**3.
3*d**3*(d - 1)**2
What is h in 2*h**2/3 - 736*h/3 + 67712/3 = 0?
184
Factor 2*p**3/9 + 34*p**2/9 + 40*p/3.
2*p*(p + 5)*(p + 12)/9
Factor -3*y**2 - 396*y - 13068.
-3*(y + 66)**2
Find q such that -15*q**5/4 - 123*q**4/2 - 771*q**3/4 + 465*q**2 - 87*q