(n + 5)
Factor 34*c**4/13 + 64*c**3/13 + 2*c**2 - 4*c/13.
2*c*(c + 1)**2*(17*c - 2)/13
Factor -w**2/6 + 7*w/6 + 3.
-(w - 9)*(w + 2)/6
Factor 2*t**2/13 + 66*t/13.
2*t*(t + 33)/13
Suppose l**4/4 + 7*l**3/2 + 49*l**2/4 = 0. What is l?
-7, 0
Factor -5*a**3 + 58950*a**2 - 231673500*a + 303492285000.
-5*(a - 3930)**3
Determine t, given that -76*t**5 - 376*t**4 - 664*t**3 - 496*t**2 - 124*t + 8 = 0.
-2, -1, 1/19
Find a, given that 5*a**4 - 40*a**2 + 80 = 0.
-2, 2
Factor -4*i**4 - 8*i**3 + 4*i**2 + 8*i.
-4*i*(i - 1)*(i + 1)*(i + 2)
Determine v so that 2*v**3/19 + 8*v**2 + 438*v/19 = 0.
-73, -3, 0
Determine s, given that -s**5/2 - 25*s**4/4 - 81*s**3/4 - 71*s**2/4 + 11*s/4 + 6 = 0.
-8, -3, -1, 1/2
Factor 5*y**2 - 195*y + 190.
5*(y - 38)*(y - 1)
Factor -3*c**4 - 1374*c**3 - 207900*c**2 - 10103016*c + 43827168.
-3*(c - 4)*(c + 154)**3
Factor 5*f**3/3 + 11*f**2 + 16*f/3 - 4.
(f + 1)*(f + 6)*(5*f - 2)/3
Factor 3*c**4/2 - 6738*c**3 + 26943*c**2/2 - 6735*c.
3*c*(c - 4490)*(c - 1)**2/2
Factor 2*n**4/3 + 12*n**3 - 2*n**2/3 - 12*n.
2*n*(n - 1)*(n + 1)*(n + 18)/3
Factor 2*a**3/5 + 8*a**2/5 - 82*a/5 + 72/5.
2*(a - 4)*(a - 1)*(a + 9)/5
Factor -2*h**2 + 106*h + 7440.
-2*(h - 93)*(h + 40)
Factor -3*w**3 + 9000*w**2 - 9000000*w + 3000000000.
-3*(w - 1000)**3
Find c such that -3*c**4 + 6*c**3 + 36*c**2 - 54*c - 81 = 0.
-3, -1, 3
Factor 5*c**4 + 220*c**3 + 2630*c**2 + 4620*c + 2205.
5*(c + 1)**2*(c + 21)**2
Find x such that 3*x**3 - 11232*x**2 - 22473*x - 11238 = 0.
-1, 3746
Solve 6*o**3/5 + 8*o**2/5 = 0 for o.
-4/3, 0
Suppose 3*j**5/4 - 9*j**4/4 - 3*j**3 = 0. What is j?
-1, 0, 4
What is l in l**3 - 169*l**2 + 7224*l - 7056 = 0?
1, 84
Determine n, given that -n**2 - 95*n + 194 = 0.
-97, 2
Factor 4*r**2/3 - 964*r.
4*r*(r - 723)/3
Solve -2*z**4 + 810*z**3 = 0.
0, 405
Solve -s**2/4 - 111*s/4 - 55/2 = 0.
-110, -1
Determine v, given that -3*v**3 - 6*v**2 + 33*v + 36 = 0.
-4, -1, 3
Suppose 2*p**4 + 10*p**3/3 - 46*p**2/3 + 38*p/3 - 8/3 = 0. Calculate p.
-4, 1/3, 1
Solve 2*p**4/9 - 10*p**3/9 + 4*p**2/3 = 0.
0, 2, 3
Factor c**4 - 234*c**3 + 18480*c**2 - 509894*c + 1369599.
(c - 77)**3*(c - 3)
Let -5*b**2/8 - 7*b/8 = 0. What is b?
-7/5, 0
Solve -3*m**4 - 15*m**3 + 12*m**2 + 132*m + 144 = 0.
-4, -2, 3
Factor -3*u**2 - 36*u - 33.
-3*(u + 1)*(u + 11)
Factor h**5 - 3*h**4 - 35*h**3 + 75*h**2 + 250*h.
h*(h - 5)**2*(h + 2)*(h + 5)
Factor -5*x**3 + 365*x + 360.
-5*(x - 9)*(x + 1)*(x + 8)
Solve -132*z**5 - 771*z**4 - 1323*z**3 - 543*z**2 + 159*z + 18 = 0 for z.
-3, -2, -1, -1/11, 1/4
Let -72*q**4 - 1172*q**3 + 2172*q**2 - 1072*q + 144 = 0. What is q?
-18, 2/9, 1/2, 1
Factor 2*t**4/11 - 136*t**3/11 + 2444*t**2/11 - 408*t + 198.
2*(t - 33)**2*(t - 1)**2/11
Determine s so that 4*s**5/5 - 7*s**4 - 101*s**3/5 + 13*s**2/5 + 97*s/5 + 22/5 = 0.
-2, -1, -1/4, 1, 11
What is b in 13144256*b**5 + 9245536*b**4 + 2339468*b**3 + 261808*b**2 + 13376*b + 256 = 0?
-1/4, -4/59
Let -2*m**2/7 - 218*m/7 + 96 = 0. What is m?
-112, 3
Determine x so that 2*x**3/7 + 52*x**2/7 + 250*x/7 + 200/7 = 0.
-20, -5, -1
Factor -m**3/3 + 10*m**2/3 - 29*m/3 + 20/3.
-(m - 5)*(m - 4)*(m - 1)/3
Factor -276*i**3 - 1388*i**2 - 1144*i - 32.
-4*(i + 1)*(i + 4)*(69*i + 2)
Suppose 2*q**3 + 324*q**2 + 642*q + 320 = 0. What is q?
-160, -1
Factor 5*s**4 + 20*s**3 - 105*s**2 - 520*s - 400.
5*(s - 5)*(s + 1)*(s + 4)**2
Factor 3*x**2 - 24*x.
3*x*(x - 8)
Factor o**2/8 + 93*o/2 - 187/2.
(o - 2)*(o + 374)/8
Let 2*y**2/7 - 23136*y/7 + 66909312/7 = 0. Calculate y.
5784
Factor 2*r**2 + 928*r + 107648.
2*(r + 232)**2
Solve -64*d**5 - 2512*d**4 - 37308*d**3 - 254135*d**2 - 733775*d - 514500 = 0 for d.
-12, -35/4, -1
Factor -4*p**2 + 348*p + 712.
-4*(p - 89)*(p + 2)
Find p, given that -4*p**2 + 19*p/4 - 3/4 = 0.
3/16, 1
Determine f, given that 3*f**4 - 9*f**3 - 66*f**2 + 36*f + 216 = 0.
-3, -2, 2, 6
What is z in 2*z**5 + 64*z**4 + 732*z**3 + 3520*z**2 + 6050*z = 0?
-11, -5, 0
Factor 21*y**3/5 - 33*y**2/5 + 3*y/5 + 9/5.
3*(y - 1)**2*(7*y + 3)/5
Solve x**2/2 + 39*x/2 + 37 = 0.
-37, -2
Solve 5*c**4 - 195*c**3 - 1090*c**2 - 480*c + 1760 = 0 for c.
-4, -2, 1, 44
Factor d**3/3 + 16*d**2 - d/3 - 16.
(d - 1)*(d + 1)*(d + 48)/3
Let -2*d**5/15 + 8*d**4/15 + 14*d**3/15 - 4*d**2/3 = 0. Calculate d.
-2, 0, 1, 5
Solve -p**3/6 - 7*p**2/6 - 2*p = 0 for p.
-4, -3, 0
Suppose 55*x**5 + 100*x**4 - 20*x**3 - 110*x**2 - 35*x + 10 = 0. What is x?
-1, 2/11, 1
What is a in -3*a**2 - 30012*a - 75060012 = 0?
-5002
Factor 2*f**2 - 776*f + 75272.
2*(f - 194)**2
Factor 2*y**3 - 4196*y**2 + 8386*y - 4192.
2*(y - 2096)*(y - 1)**2
Factor -2*u**2/5 - 38*u/5.
-2*u*(u + 19)/5
Factor q**5 - 6*q**4 + 12*q**3 - 8*q**2.
q**2*(q - 2)**3
Factor 2*n**2/9 + 64*n/9 + 154/3.
2*(n + 11)*(n + 21)/9
Let 4*i**2 + 8048*i + 4048144 = 0. What is i?
-1006
What is n in 4*n**2/7 + 80*n + 1104/7 = 0?
-138, -2
Factor 3*h**3/2 - 11727*h**2/2 + 11454345*h/2 + 11466075/2.
3*(h - 1955)**2*(h + 1)/2
Let -2*t**4/9 + 430*t**3/9 - 2544*t**2 - 2592*t = 0. What is t?
-1, 0, 108
Factor 2*r**4 + 4*r**3 - 6*r**2.
2*r**2*(r - 1)*(r + 3)
Solve 3*u**2 + 219*u = 0.
-73, 0
Factor 2*m**3/13 + 10*m**2/13 - 114*m/13 + 198/13.
2*(m - 3)**2*(m + 11)/13
Let 18*h**3/5 - 69*h**2/5 - 12*h/5 = 0. Calculate h.
-1/6, 0, 4
What is y in 3*y**2/2 - 3*y - 9/2 = 0?
-1, 3
Find l, given that 12*l**5 + 101*l**4 + 266*l**3 + 223*l**2 + 22*l - 24 = 0.
-4, -3, -1, -2/3, 1/4
Factor 10*a**3 - 1394*a**2 + 556*a.
2*a*(a - 139)*(5*a - 2)
Suppose 2*o**3/5 - 122*o**2/5 - 50*o - 126/5 = 0. Calculate o.
-1, 63
Let -5*o**5/7 - 2*o**4/7 + 15*o**3/7 - 4*o**2/7 - 4*o/7 = 0. What is o?
-2, -2/5, 0, 1
Let -5*p**4 - 250*p**3 - 2285*p**2 + 21000*p - 35280 = 0. What is p?
-28, 3
Solve l**2/4 + 27*l/2 + 26 = 0 for l.
-52, -2
Factor -5*i**2 + 595*i - 6890.
-5*(i - 106)*(i - 13)
What is r in 10*r**3 - 35*r**2 + 15*r = 0?
0, 1/2, 3
Factor r**3/2 + 3*r**2/2 - 2*r.
r*(r - 1)*(r + 4)/2
Factor -3*i**2 - 17*i/2.
-i*(6*i + 17)/2
Suppose -2*z**2 + 4528*z + 4530 = 0. What is z?
-1, 2265
Factor 2*n**2/7 + 12*n/7 - 32/7.
2*(n - 2)*(n + 8)/7
Let 2*z**5/7 - 108*z**4/7 + 192*z**3 + 448*z**2 = 0. Calculate z.
-2, 0, 28
Factor -l**5/4 + l**4 - l**3/4 - 5*l**2/2 + l + 2.
-(l - 2)**3*(l + 1)**2/4
Solve 2*j**2/5 - 6*j - 252/5 = 0.
-6, 21
Factor 3*h**2/4 + 291*h/4 + 285/2.
3*(h + 2)*(h + 95)/4
Factor 3*m**3/4 - 87*m**2/4 - 183*m/4 - 93/4.
3*(m - 31)*(m + 1)**2/4
Factor 4*f**2 - 2648*f + 438244.
4*(f - 331)**2
Suppose -25*f**5 - 70*f**4 + 31*f**3 + 52*f**2 + 12*f = 0. What is f?
-3, -2/5, 0, 1
Factor -5*y**4 + 15*y**3 + 110*y**2 - 120*y.
-5*y*(y - 6)*(y - 1)*(y + 4)
Determine z so that -3*z**3 - 105*z**2/4 - 189*z/4 + 27/2 = 0.
-6, -3, 1/4
Factor -5*b**2 - 255*b - 250.
-5*(b + 1)*(b + 50)
Determine s, given that s**2 + 13*s = 0.
-13, 0
Factor -5*d**4 + 10*d**3 + 15*d**2.
-5*d**2*(d - 3)*(d + 1)
Factor n**4/5 + 3*n**3/5 - 6*n**2/5 - 28*n/5 - 24/5.
(n - 3)*(n + 2)**3/5
Suppose 3*z**5 + 30*z**4 - 9*z**3 - 96*z**2 - 60*z = 0. What is z?
-10, -1, 0, 2
Solve -o**3 + 392*o**2 - 38805*o + 76050 = 0.
2, 195
Factor -22*b**2/3 - 392*b/3 + 24.
-2*(b + 18)*(11*b - 2)/3
Factor 2*r**3 + 32*r**2 + 90*r - 324.
2*(r - 2)*(r + 9)**2
Determine i so that -3*i**3 + 15*i**2 + 12*i - 60 = 0.
-2, 2, 5
Factor 5*p**2 + 90*p - 1040.
5*(p - 8)*(p + 26)
Let -2*l**2 - 42*l + 1184 = 0. What is l?
-37, 16
Factor -2*x**2/11 + 60*x/11 + 18.
-2*(x - 33)*(x + 3)/11
Factor -3*t**3/7 + 27*t**2 - 3069*t/7 + 2883/7.
-3*(t - 31)**2*(t - 1)/7
Factor -128*o**3 - 272*o**2 - 65*o/2 - 1.
-(o + 2)*(16*o + 1)**2/2
Find u such that -20*u**2/7 - 16*u + 132/7 = 0.
-33/5, 1
Factor 3*k**3/5 - 63*k**2/5 + 216*k/5 + 1296/5.
3*(k - 12)**2*(k + 3)/5
Find r, given that -5*r**3 + 465*r**2 + 1925*r + 1455 = 0.
-3, -1, 97
Let t**2/4 - 35*t/4 = 0. Calculate t.
0, 35
Suppose -4*k**4 + 16*k**3 + 52*k**2 - 16*k - 48 = 0. Calculate k.
-2, -1, 1, 6
Factor -w**2 - 204*w - 10404.
-(w + 102)**2
Find u, given that 6*u**4 - 140*u**3 - 422*u**2 + 156*u = 0.
-3, 0, 1/3, 26
Suppose -r**5 - 16*r**4 - 48*r**3 + 266*r**2 + 833*r - 2058 = 0. What is r?
-7, 2, 3
Factor 2*a**3/9 - 2*a**2/3 - 680*a/9.
2*a*(a - 20)*(a + 17)/9
Factor n**5/3 - 4*n**4/3 + 2*n**3 - 4*n**2/3 + n/3.
n*(n - 1)**4/3
Factor -2*u**4/3 - 166*u**3/3 + 534*u**2 - 1638*u + 1656.
-2*(u - 3)**3*(u + 92)/3
Factor 2*c**2/7 + 512*c/7 + 2510/7.
2*(c + 5)*(c + 251)/7
Find d such that 3*d**5 - 99*d**4