 + 5*k**2 + 64*k - 140.
-(k - 10)*(k - 2)*(k + 7)
Factor u**4/2 - 185*u**3/2 + 4324*u**2 - 4232*u.
u*(u - 92)**2*(u - 1)/2
Factor 2*i**2 - 156*i + 450.
2*(i - 75)*(i - 3)
Find u such that 2*u**2 - 486*u + 3304 = 0.
7, 236
Factor t**4/2 + 4*t**3 + 11*t**2/2 - 10*t.
t*(t - 1)*(t + 4)*(t + 5)/2
Factor z**2/4 - 237*z/2 + 56169/4.
(z - 237)**2/4
Suppose -2*j**3 - 410*j**2 - 22736*j - 172872 = 0. Calculate j.
-98, -9
Solve d**5 + 6*d**4 - 51*d**3 - 244*d**2 - 252*d = 0 for d.
-9, -2, 0, 7
Factor 2*q**2 - 18*q - 180.
2*(q - 15)*(q + 6)
Solve 3*c**4 - 633*c**3 - 1278*c**2 = 0 for c.
-2, 0, 213
Determine r so that 2*r**3 + 446*r**2 + 24640*r - 25088 = 0.
-112, 1
Factor 3*n**2/4 + 78*n + 153.
3*(n + 2)*(n + 102)/4
Factor 3*v**2/2 + 21*v/2 - 27.
3*(v - 2)*(v + 9)/2
Factor 16*r**3/11 - 14*r**2/11 - 36*r/11.
2*r*(r - 2)*(8*r + 9)/11
Find h such that -3*h**3 + 1497*h**2 + 4512*h + 3012 = 0.
-2, -1, 502
Let 14*t**4 + 2614*t**3 - 6040*t**2 + 1512*t = 0. Calculate t.
-189, 0, 2/7, 2
Suppose 7*l**4 + 36*l**3 - 85*l**2 + 42*l = 0. Calculate l.
-7, 0, 6/7, 1
Let -z**4 + 8*z**3 - 18*z**2 + 16*z - 5 = 0. What is z?
1, 5
Factor -9*k**2 + 1110*k + 744.
-3*(k - 124)*(3*k + 2)
Factor -o**2/3 - 74*o/3.
-o*(o + 74)/3
What is w in -4*w**5 + 4*w**4 + 76*w**3 - 4*w**2 - 360*w - 288 = 0?
-3, -2, -1, 3, 4
Find g such that -4*g**2 + 2144*g - 4272 = 0.
2, 534
Solve -g**3 + 9*g**2 + 34*g + 24 = 0 for g.
-2, -1, 12
Solve y**3 + 1784*y**2 + 795664*y = 0.
-892, 0
Suppose -5*b**4/3 + 7*b**3/3 + 11*b**2/3 - 7*b/3 - 2 = 0. Calculate b.
-1, -3/5, 1, 2
Factor -3*z**2/7 + 48*z - 1344.
-3*(z - 56)**2/7
Factor 4*m**2 + 496*m/3 - 112.
4*(m + 42)*(3*m - 2)/3
Determine y so that 2*y**5 + 6*y**4 - 8*y**3 = 0.
-4, 0, 1
Solve 2*q**5 + 32*q**4 - 72*q**3 + 4*q**2 + 70*q - 36 = 0 for q.
-18, -1, 1
Factor t**2 + 2359*t - 2360.
(t - 1)*(t + 2360)
Factor n**4/2 - 2*n**3 - 5*n**2/2 + 18*n - 18.
(n - 3)*(n - 2)**2*(n + 3)/2
Suppose k**4/2 + 23*k**3 - 147*k**2/2 + 2*k + 98 = 0. Calculate k.
-49, -1, 2
Factor y**3 - 3*y**2 + 2*y.
y*(y - 2)*(y - 1)
Factor -a**3/3 + 50*a**2/3 - 49*a/3.
-a*(a - 49)*(a - 1)/3
Factor -3*v**4/7 - 186*v**3/7 - 4311*v**2/7 - 6324*v - 24276.
-3*(v + 14)**2*(v + 17)**2/7
Find h such that -3*h**4 + 66*h**3 - 291*h**2 - 792*h - 432 = 0.
-1, 12
Determine w so that -4*w**3 + 40*w**2 = 0.
0, 10
Factor 75*a**2 - 1115*a - 150.
5*(a - 15)*(15*a + 2)
Solve v**4/3 + 4*v**3 + 15*v**2 + 50*v/3 = 0 for v.
-5, -2, 0
Factor y**5/8 - 79*y**4/8.
y**4*(y - 79)/8
Factor b**5 - 9*b**4 - 52*b**3.
b**3*(b - 13)*(b + 4)
Solve 5*o**5/2 - 405*o**4/2 - 7300*o**3 - 72500*o**2 - 195000*o + 275000 = 0 for o.
-10, 1, 110
Solve 2*g**2/19 + 68*g/19 + 66/19 = 0 for g.
-33, -1
Factor w**3/3 + 79*w**2/3 + 649*w + 4719.
(w + 13)*(w + 33)**2/3
Let 2*p**2/9 - 2*p/9 = 0. What is p?
0, 1
Find k such that 5*k**5 - 35*k**4 - 165*k**3 + 95*k**2 + 520*k + 300 = 0.
-3, -1, 2, 10
Factor -7*t**3 + 117*t**2 + 300*t + 76.
-(t - 19)*(t + 2)*(7*t + 2)
Suppose 3*p**3 - 567*p**2 + 22032*p + 468180 = 0. What is p?
-15, 102
Suppose -2*u**2/7 + 20*u/7 = 0. What is u?
0, 10
Solve 2*k**2 - 140*k + 2322 = 0.
27, 43
Determine n, given that 2*n**3/7 + 54*n**2/7 + 144*n/7 = 0.
-24, -3, 0
Factor 4*u**4 - 32*u**3 + 68*u**2 - 40*u.
4*u*(u - 5)*(u - 2)*(u - 1)
Factor -2*t**2/11 + 1728*t/11 - 373248/11.
-2*(t - 432)**2/11
Solve 80*n**4 + 59868*n**3 + 20900*n**2 - 32904*n + 5984 = 0 for n.
-748, -1, 1/4, 2/5
Let 200*o**4/3 - 2840*o**3/3 + 562*o**2/3 - 28*o/3 = 0. Calculate o.
0, 1/10, 14
Solve -t**5/3 + 28*t**4/3 - 49*t**3/3 - 26*t**2 = 0.
-1, 0, 3, 26
Find z such that 10*z**4/11 + 384*z**3/11 + 4112*z**2/11 + 8064*z/11 + 2592/11 = 0.
-18, -2, -2/5
Solve 6*g**3/5 - 278*g**2/5 - 1088*g/5 - 120 = 0 for g.
-3, -2/3, 50
What is d in -d**3 + 58*d**2 - 896*d + 1568 = 0?
2, 28
Factor -3*t**3/5 + 3*t**2 - 21*t/5 + 9/5.
-3*(t - 3)*(t - 1)**2/5
Suppose -w**3 + 611*w**2 - 93635*w + 93025 = 0. What is w?
1, 305
Factor -7*k**3/5 + 15*k**2 - 146*k/5 - 48/5.
-(k - 8)*(k - 3)*(7*k + 2)/5
Suppose 4*t**2 - 92*t - 200 = 0. Calculate t.
-2, 25
Factor 3*t**5/7 - 15*t**4/7 - 39*t**3/7 - 3*t**2.
3*t**2*(t - 7)*(t + 1)**2/7
Let -21*y**3 + 1023*y**2 + 1344*y + 300 = 0. What is y?
-1, -2/7, 50
Factor 2*q**3 - 60*q**2 - 1566*q - 7776.
2*(q - 48)*(q + 9)**2
Suppose -4*f**5/7 + 8*f**4 - 52*f**3/7 - 144*f**2 - 1296*f/7 = 0. What is f?
-2, 0, 9
Suppose -i**4/8 + 5*i**3/4 + 3*i**2/2 - 5*i/4 - 11/8 = 0. What is i?
-1, 1, 11
Factor 3*m**2/2 - 1860*m + 576600.
3*(m - 620)**2/2
Factor -w**2/2 - 3*w/2 + 14.
-(w - 4)*(w + 7)/2
Let y**3/7 + 8*y**2/7 + 20*y/7 + 16/7 = 0. What is y?
-4, -2
Let i**2/4 + 19*i/4 + 17/2 = 0. What is i?
-17, -2
Factor d**3 + 214*d**2 + 425*d + 212.
(d + 1)**2*(d + 212)
Find f such that 4*f**3 + 332*f**2 + 652*f + 324 = 0.
-81, -1
Find g, given that 16*g**4 + 108*g**3 + 152*g**2 + 60*g = 0.
-5, -1, -3/4, 0
Let -3*x**5 + 129*x**4 - 363*x**3 + 111*x**2 + 366*x - 240 = 0. Calculate x.
-1, 1, 2, 40
Suppose i**3 + 687*i**2 + 6795*i + 16925 = 0. What is i?
-677, -5
Factor 2*l**4/9 + 32*l**3/9 + 50*l**2/9 - 28*l/3.
2*l*(l - 1)*(l + 3)*(l + 14)/9
Factor 4*v**4 - 12*v**3 + 4*v**2 + 12*v - 8.
4*(v - 2)*(v - 1)**2*(v + 1)
Factor v**4 + v**3 - 2*v**2.
v**2*(v - 1)*(v + 2)
Suppose -3*j**2/5 - 3114*j/5 - 808083/5 = 0. What is j?
-519
Factor -2*z**4 + 18*z**3 - 42*z**2 + 38*z - 12.
-2*(z - 6)*(z - 1)**3
Factor 20*j**4 + 45*j**3 + 30*j**2 + 5*j.
5*j*(j + 1)**2*(4*j + 1)
Determine o, given that -o**4 + 19*o**3 - 100*o**2 + 132*o = 0.
0, 2, 6, 11
Solve 36*g**4 - 24*g**3 - 11*g**2 - g = 0 for g.
-1/6, 0, 1
Suppose -76*d**2/7 - 192*d/7 - 80/7 = 0. Calculate d.
-2, -10/19
Factor -2*r**4/5 + 48*r**3/5 - 234*r**2/5 + 324*r/5.
-2*r*(r - 18)*(r - 3)**2/5
What is n in -52*n**2 + 340*n + 168 = 0?
-6/13, 7
Factor -4*x**3 - 28*x**2.
-4*x**2*(x + 7)
Let -2*n**2/7 - 12*n/7 - 10/7 = 0. What is n?
-5, -1
Factor -5*w**5 + 155*w**4 - 1120*w**3 - 1280*w**2.
-5*w**2*(w - 16)**2*(w + 1)
What is r in 5*r**2/4 + r - 1/4 = 0?
-1, 1/5
Factor -3*t**3 + 54*t**2 - 51*t.
-3*t*(t - 17)*(t - 1)
Solve -5*m**2 - 5880*m = 0 for m.
-1176, 0
Factor 500*h**4/7 + 2900*h**3/7 + 6240*h**2/7 + 5888*h/7 + 2048/7.
4*(h + 1)*(5*h + 8)**3/7
Let -2*v**3 + 54*v**2 + 56*v = 0. Calculate v.
-1, 0, 28
Factor 25*y**2 + 2555*y + 3030.
5*(y + 101)*(5*y + 6)
Factor -5*n**3 + 180*n**2 + 2700*n + 8640.
-5*(n - 48)*(n + 6)**2
Find d such that 9*d**4 + 43*d**3 + 62*d**2 + 20*d - 8 = 0.
-2, -1, 2/9
Suppose -3*d**4 - 257*d**3 - 5459*d**2 + 2021*d + 3698 = 0. Calculate d.
-43, -2/3, 1
Factor -5*u**3/4 - 475*u**2/4 + 245*u/2 + 240.
-5*(u - 2)*(u + 1)*(u + 96)/4
Find g such that 2*g**2/3 - 770*g = 0.
0, 1155
Find x, given that 6*x**3/5 + 24*x**2/5 - 306*x/5 - 324/5 = 0.
-9, -1, 6
Factor 3*j**5/2 - 9*j**4/2 - 6*j**3 + 24*j**2 - 24.
3*(j - 2)**3*(j + 1)*(j + 2)/2
Solve -8836*j**5 + 70876*j**4 - 169389*j**3 + 109612*j**2 - 2275*j + 12 = 0.
1/94, 1, 3, 4
Factor -15*j**3 - 50*j**2 + 40*j.
-5*j*(j + 4)*(3*j - 2)
What is t in 5*t**2 - 195*t + 370 = 0?
2, 37
Find c, given that 2*c**3/13 - 18*c**2/13 - 72*c/13 = 0.
-3, 0, 12
Suppose s**4 - 84*s**3 + 1677*s**2 + 3698*s = 0. Calculate s.
-2, 0, 43
Suppose -35*i**4 - 1060*i**3 - 1315*i**2 - 290*i = 0. Calculate i.
-29, -1, -2/7, 0
Factor 3*z**2 + 900*z + 2673.
3*(z + 3)*(z + 297)
Determine n, given that -4*n**3 - 4*n**2 + 120*n = 0.
-6, 0, 5
Factor 3*s**4 + 39*s**3 + 165*s**2 + 225*s.
3*s*(s + 3)*(s + 5)**2
Factor 4*o**5/3 + 8*o**4 + 16*o**3 + 32*o**2/3.
4*o**2*(o + 2)**3/3
Determine z so that 2*z**2/21 + 80*z/21 + 74/7 = 0.
-37, -3
Find g, given that -g**5/6 - 5*g**4/6 + g**3 = 0.
-6, 0, 1
Solve 2*h**5/3 - 56*h**4/3 + 326*h**3/3 - 232*h**2 + 168*h = 0.
0, 2, 3, 21
Solve -3*i**5/4 - 15*i**4/4 + 27*i**3/2 + 15*i**2 - 42*i = 0 for i.
-7, -2, 0, 2
Factor 12*f**3 + 66933*f**2 + 93325518*f - 23335563.
3*(f + 2789)**2*(4*f - 1)
Factor -5*m**3 - 2290*m**2 - 22525*m - 56000.
-5*(m + 5)**2*(m + 448)
Factor 2*i**5 + 28*i**4 + 144*i**3 + 320*i**2 + 256*i.
2*i*(i + 2)*(i + 4)**3
Let -6*c**4/7 + 4*c**3/7 + 14*c**2 + 152*c/7 + 40/7 = 0. What is c?
-2, -1/3, 5
Determine u, given that -3*u**4 + 63*u**3 - 411*u**2 + 837*u - 486 = 0.
1, 2, 9
Factor 4*l**2/3 - 348*l - 5320/3.
4*(l - 266)*(l + 5)/3
Determine i, given that 3*i**2/5 + 345*i - 1728/5 = 0.
-576, 1
Factor -75*x**3/8 + 15*x**2/2 - 3*x/2.
-3*x*(5*x - 2)**2