 12*s - 16.
4*(s - 4)*(s + 1)
Factor 2*r**3 + 1790*r**2 + 3574*r + 1786.
2*(r + 1)**2*(r + 893)
Find t such that 14*t**5 - 360*t**4 - 1336*t**3 + 12*t**2 + 1322*t + 348 = 0.
-3, -1, -2/7, 1, 29
Factor -l**4/3 + 4*l**3 - 22*l**2/3 - 28*l - 49/3.
-(l - 7)**2*(l + 1)**2/3
Suppose -68*k**3 + 808*k**2 - 2080*k - 256 = 0. What is k?
-2/17, 4, 8
Solve -2*t**3/3 + 8*t**2 + 38*t/3 - 52 = 0.
-3, 2, 13
Factor 4*q**3/3 - 40*q**2/3 - 816*q + 11232.
4*(q - 18)**2*(q + 26)/3
Solve -4*b**2 + 1768*b - 195364 = 0.
221
Find r, given that -2*r**2/9 + 34*r/9 + 92/3 = 0.
-6, 23
Determine f, given that -f**5 + 12*f**4 - 43*f**3 + 60*f**2 - 28*f = 0.
0, 1, 2, 7
Factor -2*s**2/7 - 184*s/7 - 170.
-2*(s + 7)*(s + 85)/7
What is o in -2*o**3 - 32*o**2/3 - 8*o + 32/3 = 0?
-4, -2, 2/3
Factor -2*f**3/3 - 10*f**2 + 188*f/3 + 480.
-2*(f - 8)*(f + 5)*(f + 18)/3
Solve -5*p**4 - 15*p**3 + 15*p**2 + 35*p - 30 = 0 for p.
-3, -2, 1
Factor 4*u**2 + 52*u - 120.
4*(u - 2)*(u + 15)
Suppose d**2/3 + 1375*d/3 - 1376/3 = 0. Calculate d.
-1376, 1
Factor 5*w**2 - 65*w + 200.
5*(w - 8)*(w - 5)
Suppose -22*f**2/7 + 2*f + 36/7 = 0. What is f?
-1, 18/11
Find b, given that b**3/2 - 43*b**2/2 + 21*b = 0.
0, 1, 42
Factor 16*t**2 - 1588*t + 396.
4*(t - 99)*(4*t - 1)
Factor 3*y**5 - 177*y**4 + 165*y**3 + 537*y**2 - 876*y + 348.
3*(y - 58)*(y - 1)**3*(y + 2)
What is n in 4*n**3/3 - 576*n**2 + 5156*n/3 - 1144 = 0?
1, 2, 429
Factor -2*u**3/9 + 88*u**2/9 - 82*u/9 - 172/9.
-2*(u - 43)*(u - 2)*(u + 1)/9
Suppose -4*r**4 - 20*r**3 + 16*r**2 + 80*r = 0. Calculate r.
-5, -2, 0, 2
Find h, given that h**2/5 - 24*h/5 + 144/5 = 0.
12
Suppose -o**5/3 - 2*o**4 + 2*o**3 + 64*o**2/3 + 9*o - 30 = 0. Calculate o.
-5, -3, -2, 1, 3
Solve c**5/7 + 13*c**4/7 + 43*c**3/7 - 3*c**2 - 144*c/7 + 108/7 = 0 for c.
-6, -3, 1
Factor 2*h**4 + 16*h**3 + 38*h**2 + 24*h.
2*h*(h + 1)*(h + 3)*(h + 4)
Factor -a**2/2 + 68*a - 2312.
-(a - 68)**2/2
Solve 2*p**4/5 + 14*p**3 + 258*p**2/5 + 314*p/5 + 124/5 = 0.
-31, -2, -1
Factor 3*x**4/7 - 39*x**3/7 + 144*x**2/7 - 108*x/7.
3*x*(x - 6)**2*(x - 1)/7
Factor 5*j**3 - 105*j**2 - 120*j + 220.
5*(j - 22)*(j - 1)*(j + 2)
Factor -w**5/3 + 4*w**4/3 + 59*w**3/3 + 178*w**2/3 + 212*w/3 + 88/3.
-(w - 11)*(w + 1)*(w + 2)**3/3
Factor -l**3 - l**2 + 2*l.
-l*(l - 1)*(l + 2)
Find c, given that -c**4/5 - 53*c**3/10 + 27*c**2/10 = 0.
-27, 0, 1/2
What is h in h**2/2 - 12*h + 72 = 0?
12
Determine w so that 5*w**3 + 80*w**2 + 325*w + 250 = 0.
-10, -5, -1
Factor 5*h**3 - 2350*h**2 + 276125*h.
5*h*(h - 235)**2
Find v, given that -41067*v**2/4 - 1755*v - 75 = 0.
-10/117
Factor -308*p**4 - 118*p**3 + 6*p**2.
-2*p**2*(7*p + 3)*(22*p - 1)
Factor n**3/3 + 211*n**2/3.
n**2*(n + 211)/3
Factor 2*g**2/5 + 412*g/5 + 21218/5.
2*(g + 103)**2/5
Determine f, given that 2*f**2/17 + 254*f/17 + 252/17 = 0.
-126, -1
What is o in -5*o**5 - 15*o**4 + 4150*o**3 + 56010*o**2 + 99535*o + 47685 = 0?
-17, -1, 33
Factor 14*u**2 + 850*u - 244.
2*(u + 61)*(7*u - 2)
Factor 5*x**3 + 8130*x**2 + 4406460*x + 796100440.
5*(x + 542)**3
Factor -3*k**2/5 + 21*k/5 - 18/5.
-3*(k - 6)*(k - 1)/5
What is w in -5*w**4 - 38*w**3 - 100*w**2 - 106*w - 39 = 0?
-3, -13/5, -1
Solve -3*w**5 + 42*w**4 - 33*w**3 - 78*w**2 = 0 for w.
-1, 0, 2, 13
Suppose -r**5/2 + r**4/2 + 5*r**3/2 - 5*r**2/2 - 2*r + 2 = 0. What is r?
-2, -1, 1, 2
Determine u so that -2*u**3 - 270*u**2/7 - 76*u/7 = 0.
-19, -2/7, 0
Find j such that -3*j**4/2 + 507*j**3/2 - 1503*j**2/2 + 1497*j/2 - 249 = 0.
1, 166
Determine w so that 2*w**4 + 36*w**3 + 226*w**2 + 600*w + 576 = 0.
-8, -4, -3
Factor 2*g**2/5 - 338*g/5.
2*g*(g - 169)/5
Factor -z**3 + 67*z**2 - 131*z + 65.
-(z - 65)*(z - 1)**2
Factor -3*j**4/5 + 6*j**3.
-3*j**3*(j - 10)/5
Factor r**2/2 - 80*r + 159/2.
(r - 159)*(r - 1)/2
Factor 3*k**2.
3*k**2
Factor s**3/3 + 11*s**2 + 32*s/3.
s*(s + 1)*(s + 32)/3
Factor -o**2 - 674*o + 1352.
-(o - 2)*(o + 676)
Factor 2*o**3/9 - 40*o**2/9 - 416*o/9 - 896/9.
2*(o - 28)*(o + 4)**2/9
Factor -2*r**4/7 - 120*r**3/7 - 1916*r**2/7 - 3480*r/7 - 1682/7.
-2*(r + 1)**2*(r + 29)**2/7
Factor -2*i**5 - 70*i**4 - 134*i**3 - 66*i**2.
-2*i**2*(i + 1)**2*(i + 33)
What is j in j**3 - 5321*j**2 + 7075599*j + 7080921 = 0?
-1, 2661
Determine k, given that -676*k**3/11 - 1170*k**2/11 + 354*k/11 - 20/11 = 0.
-2, 1/13, 5/26
Factor -a**3/4 - 5*a**2/2 - 27*a/4 - 9/2.
-(a + 1)*(a + 3)*(a + 6)/4
Factor -2*r**3 - 88*r**2 - 874*r + 2116.
-2*(r - 2)*(r + 23)**2
Determine z so that 45*z**2 - 190*z + 40 = 0.
2/9, 4
Factor 2*w**5/9 - 2*w**4/3 + 4*w**3/9 + 4*w**2/9 - 2*w/3 + 2/9.
2*(w - 1)**4*(w + 1)/9
Factor 450*j**3 + 8880*j**2 - 2392*j + 160.
2*(j + 20)*(15*j - 2)**2
Factor 5*x**4/3 + 2225*x**3/3 + 740*x**2.
5*x**2*(x + 1)*(x + 444)/3
Factor 2*m**2/7 + 4*m + 96/7.
2*(m + 6)*(m + 8)/7
Factor r**2 - 389*r + 774.
(r - 387)*(r - 2)
Factor -2*y**4 + 34*y**3 - 30*y**2 - 34*y + 32.
-2*(y - 16)*(y - 1)**2*(y + 1)
Factor -d**4/12 - 5*d**3/3 - 21*d**2/2 - 49*d/3 + 343/12.
-(d - 1)*(d + 7)**3/12
Factor 4*h**4 - 1800*h**3 + 202500*h**2.
4*h**2*(h - 225)**2
Factor 2*i**4/7 - 6*i**3/7 - 48*i**2/7 - 8*i.
2*i*(i - 7)*(i + 2)**2/7
Factor o**2 + 38*o + 361.
(o + 19)**2
Suppose -v**2 - 10*v - 24 = 0. Calculate v.
-6, -4
What is w in -w**2 - 10*w - 21 = 0?
-7, -3
Solve -k**2 - 47*k/2 - 23/2 = 0.
-23, -1/2
Solve -6*b**3/5 - 44*b**2/5 + 32*b/5 = 0 for b.
-8, 0, 2/3
Let h**3/6 + 386*h**2/3 + 25088*h + 98304 = 0. Calculate h.
-384, -4
Determine h so that h**5/2 - 7*h**4/2 + 9*h**3/2 + 7*h**2/2 - 5*h = 0.
-1, 0, 1, 2, 5
Factor -2*b**2 - 18*b - 28.
-2*(b + 2)*(b + 7)
Factor 25*s**2 + 185*s + 70.
5*(s + 7)*(5*s + 2)
Factor 2*g**4 - 1406*g**2 + 1404*g.
2*g*(g - 26)*(g - 1)*(g + 27)
Find r, given that -r**5/7 - 8*r**4/7 - 13*r**3/7 - 6*r**2/7 = 0.
-6, -1, 0
Factor -2*v**3 + 24*v**2 + 30*v - 52.
-2*(v - 13)*(v - 1)*(v + 2)
Find i such that 2*i**2/7 + 356*i/7 - 720/7 = 0.
-180, 2
Factor 5*y**4 + 435*y**3 - 5*y**2 - 435*y.
5*y*(y - 1)*(y + 1)*(y + 87)
Solve -k**4/6 - k**3/2 + 445*k**2/6 - 827*k/2 + 600 = 0 for k.
-25, 3, 16
Factor -2*p**4/13 + 32*p**3/13 - 90*p**2/13 - 324*p/13.
-2*p*(p - 9)**2*(p + 2)/13
Determine u so that -3*u**2 - 4578*u - 4575 = 0.
-1525, -1
Determine w, given that -w**2/7 + 23*w/7 - 22/7 = 0.
1, 22
Factor r**5 + 7*r**4 - 3*r**3 - 23*r**2 - 14*r.
r*(r - 2)*(r + 1)**2*(r + 7)
Factor g**3 - 95*g**2 + 2975*g - 30625.
(g - 35)**2*(g - 25)
Determine z, given that -z**4 - 14*z**3 + 89*z**2 - 114*z = 0.
-19, 0, 2, 3
Factor 2*h**4/21 + 4*h**3/21 - 4*h/21 - 2/21.
2*(h - 1)*(h + 1)**3/21
Factor 33*r**3 + 6*r**2 - 33*r - 6.
3*(r - 1)*(r + 1)*(11*r + 2)
What is m in 20*m**5 - 812*m**4 + 8612*m**3 - 11924*m**2 + 1160*m + 2944 = 0?
-2/5, 1, 16, 23
What is o in -o**3 + 12*o - 16 = 0?
-4, 2
Determine u so that -36*u**4/7 + 672*u**3 - 155224*u**2/7 + 14560*u - 16900/7 = 0.
1/3, 65
Solve -4*z**5/3 + 140*z**4/3 + 157*z**3 - 574*z**2/3 + 152*z/3 = 0.
-4, 0, 1/2, 38
Factor 2*s**3/9 + 70*s**2/9 - 148*s/9.
2*s*(s - 2)*(s + 37)/9
Find i, given that -3*i**3/4 + 51*i**2/4 - 42*i + 39 = 0.
2, 13
Determine m, given that -m**3/8 + 7*m**2/4 - 49*m/8 = 0.
0, 7
Factor 2*j**5 + 138*j**4 - 284*j**3 + 4*j**2 + 282*j - 142.
2*(j - 1)**3*(j + 1)*(j + 71)
Let 2*l**4/7 - 6*l**3/7 - 8*l**2/7 = 0. What is l?
-1, 0, 4
Find q, given that 9*q**4 - 123*q**3 - 50*q**2 + 108*q + 56 = 0.
-2/3, 1, 14
Let 3*c**2/7 + 171*c - 1200/7 = 0. Calculate c.
-400, 1
Solve -628509*n**4 - 822615*n**3 - 198342*n**2 - 4260*n - 24 = 0.
-1, -2/7, -2/173
Factor -2*s**4/11 - 124*s**3/11 + 384*s**2/11 - 388*s/11 + 130/11.
-2*(s - 1)**3*(s + 65)/11
Factor 3*y**2 - 6120*y + 3121200.
3*(y - 1020)**2
Let -5*p**5 + 5*p**4 + 65*p**3 - 125*p**2 + 60*p = 0. What is p?
-4, 0, 1, 3
Let -4*v**2/5 - 408*v/5 - 7268/5 = 0. What is v?
-79, -23
Factor -2*o**3 + 2930*o**2.
-2*o**2*(o - 1465)
Factor -n**2 + 57*n + 118.
-(n - 59)*(n + 2)
Factor -2*c**4 + 194*c**3 - 3300*c**2.
-2*c**2*(c - 75)*(c - 22)
Find l, given that -3*l**2 - 54*l - 243 = 0.
-9
Find b such that b**5/3 + 14*b**4 - 140*b**3/3 - 74*b**2 + 139*b/3 + 60 = 0.
-45, -1, 1, 4
Let 8*v**4 - 220*v**3 + 1452*v**2 + 896*v - 784 = 0. Calculate v.
-1, 1/2, 14
Factor -4*x**2/9 - 220*x/9 + 224/9.
-4*(x - 1)*(x + 56)/9
Factor 4*p**4 - 152*p**3.
4*p**3*(p - 38)
Find t such that -9*t**5 + 96*t**4 - 141*t**3 + 54*t**2 = 0.
0, 2/3, 1, 9
Factor -5*o**4 + 45*o**3 + 105*o**2 + 55*o.
-5*o*(