mine t, given that -t**2 - 2*t = 0.
-2, 0
Determine w, given that -4*w**4 - 88*w**3 - 480*w**2 + 88*w + 484 = 0.
-11, -1, 1
Determine v so that -4*v**5/3 + 116*v**4/3 + 644*v**3/3 + 1196*v**2/3 + 944*v/3 + 272/3 = 0.
-2, -1, 34
Solve 3*p**2 - 9306*p + 7216803 = 0.
1551
Determine h, given that h**2/4 - 5*h/4 + 3/2 = 0.
2, 3
What is k in 15*k**2 - 38065*k - 12690 = 0?
-1/3, 2538
Find a such that -a**3/5 + 86*a**2/5 - 553*a/5 = 0.
0, 7, 79
Factor k**4/5 + k**3 - 69*k**2/5 - 329*k/5 + 392/5.
(k - 8)*(k - 1)*(k + 7)**2/5
Let s**3/10 - 9*s**2/5 + 33*s/10 + 242/5 = 0. What is s?
-4, 11
Factor -a**2 + 5*a + 126.
-(a - 14)*(a + 9)
What is x in 2*x**4/9 + 2*x**3/9 - 8*x**2/3 + 8*x/9 + 32/9 = 0?
-4, -1, 2
Determine w so that w**5 - 342*w**4 - 352*w**3 + 3098*w**2 - 3777*w + 1372 = 0.
-4, 1, 343
Suppose -4*k**5/7 - 4*k**4/7 + 52*k**3/7 + 4*k**2/7 - 192*k/7 + 144/7 = 0. Calculate k.
-3, 1, 2
Factor -o**4/7 - o**3/7 + o**2/7 + o/7.
-o*(o - 1)*(o + 1)**2/7
Factor 3*k**3 + 6*k**2 - 9*k.
3*k*(k - 1)*(k + 3)
Factor 5*h**4/2 + 425*h**3/2 + 1185*h**2.
5*h**2*(h + 6)*(h + 79)/2
Factor -741027*g**3 - 732081*g**2 + 8919*g - 27.
-3*(g + 1)*(497*g - 3)**2
Find k such that 2*k**4/9 - 28*k**3/9 + 10*k**2/9 + 616*k/9 = 0.
-4, 0, 7, 11
What is t in -2*t**5/5 - 46*t**4/5 - 326*t**3/5 - 722*t**2/5 - 128*t - 40 = 0?
-10, -1
Let -4*u**3/3 + 48*u**2 - 476*u + 2312/3 = 0. What is u?
2, 17
Factor -5*v**3/3 + 460*v**2 + 925*v + 1390/3.
-5*(v - 278)*(v + 1)**2/3
Factor -2*z**3 + 16*z**2 + 440*z + 800.
-2*(z - 20)*(z + 2)*(z + 10)
Suppose -3*a**2 - 84*a = 0. Calculate a.
-28, 0
Factor 4*n**3 - 92*n**2 - 4*n + 92.
4*(n - 23)*(n - 1)*(n + 1)
Factor -b**3/6 - 2*b**2 + 49*b/6 + 10.
-(b - 4)*(b + 1)*(b + 15)/6
Factor -4*l**2 + 1648*l - 169744.
-4*(l - 206)**2
What is x in 13*x**3 - 102*x**2 - 133*x - 18 = 0?
-1, -2/13, 9
Determine n, given that -5*n**5 - 2475*n**4 - 305040*n**3 + 307520*n**2 = 0.
-248, 0, 1
Let 3*p**5 - 639*p**4/5 - 978*p**3/5 + 2292*p**2/5 + 3672*p/5 + 1056/5 = 0. Calculate p.
-2, -1, -2/5, 2, 44
Factor s**2/2 + 185*s/2 - 187.
(s - 2)*(s + 187)/2
Factor 25*x**3 - 170*x**2 + 215*x + 50.
5*(x - 5)*(x - 2)*(5*x + 1)
Factor 2*g**4/9 + 1160*g**3/9 + 169354*g**2/9 + 334084*g/9.
2*g*(g + 2)*(g + 289)**2/9
What is y in -y**5/5 + 19*y**4/5 - 58*y**3/5 - 298*y**2/5 - 341*y/5 - 121/5 = 0?
-1, 11
Let -33*l**2 - 4*l = 0. Calculate l.
-4/33, 0
Factor -20*u**3 + 112*u**2 - 52*u - 40.
-4*(u - 5)*(u - 1)*(5*u + 2)
Factor -2*c**3 + 46*c**2 + 98*c + 50.
-2*(c - 25)*(c + 1)**2
Solve -32*t**2/9 - 2096*t/9 - 34322/9 = 0 for t.
-131/4
Factor -5*c**5 + 70*c**4 + 760*c**3 + 2480*c**2 + 3440*c + 1760.
-5*(c - 22)*(c + 2)**4
Solve -3*g**3 - 4773*g**2 = 0.
-1591, 0
Solve 4*a**4 - 64*a**3 = 0.
0, 16
Find g such that -2*g**3 - 10*g**2 - 12*g = 0.
-3, -2, 0
Factor 3*z**3/5 + 78*z**2/5 + 84*z - 1176/5.
3*(z - 2)*(z + 14)**2/5
Factor 2*c**4 + 116*c**3 + 442*c**2 + 544*c + 216.
2*(c + 1)**2*(c + 2)*(c + 54)
Factor 2*c**2/3 + 2*c/3.
2*c*(c + 1)/3
Determine f so that -3*f**5 + 21*f**3 + 6*f**2 - 36*f - 24 = 0.
-2, -1, 2
Suppose 5*r**5/4 - 6*r**4 + 15*r**3/2 - 2*r**2 - 3*r/4 = 0. Calculate r.
-1/5, 0, 1, 3
Factor -4*q**2 + 1472*q - 8688.
-4*(q - 362)*(q - 6)
Let 5*y**2 + 20*y - 60 = 0. Calculate y.
-6, 2
Determine d so that 2*d**5 + 964*d**4 + 106122*d**3 - 2419640*d**2 + 12600200*d = 0.
-251, 0, 10
Solve 11*u**2 + 222*u + 40 = 0 for u.
-20, -2/11
Factor 3*u**3 - 39*u**2 - 90*u.
3*u*(u - 15)*(u + 2)
Find s such that 4*s**5 + 4*s**4 - 20*s**3 + 12*s**2 = 0.
-3, 0, 1
What is h in 4*h**5/5 - 236*h**4 + 89924*h**3/5 - 85492*h**2 + 100920*h = 0?
0, 2, 3, 145
Factor -n**3/7 + 1791*n**2/7 - 114432*n - 114688.
-(n - 896)**2*(n + 1)/7
Suppose 15*l**4 - 372*l**3 + 3147*l**2/5 - 966*l/5 = 0. Calculate l.
0, 2/5, 7/5, 23
Find w, given that -w**5/9 + 23*w**4/9 - 143*w**3/9 + 121*w**2/9 = 0.
0, 1, 11
Factor 52*v**2 - 148*v - 24.
4*(v - 3)*(13*v + 2)
Factor 2*a**4 + 80*a**3 + 624*a**2 - 3520*a + 3872.
2*(a - 2)**2*(a + 22)**2
What is x in -45*x**3 - 1488*x**2 - 99*x = 0?
-33, -1/15, 0
Let -p**2/7 + 9*p - 236/7 = 0. Calculate p.
4, 59
Find z, given that 3*z**2/4 + 45*z/2 - 297/4 = 0.
-33, 3
Factor -5*y**3 + 150*y**2 - 1095*y + 950.
-5*(y - 19)*(y - 10)*(y - 1)
Determine g so that 5*g**2/7 - 2472*g/7 + 988/7 = 0.
2/5, 494
Solve 2*l**5/7 - 8*l**4/7 + 6*l**3/7 = 0.
0, 1, 3
What is u in -4*u**4 - 76*u**3 + 15372*u**2 - 396900*u + 3037608 = 0?
-82, 21
Find s, given that s**2/2 + 2332*s + 4663/2 = 0.
-4663, -1
Factor 21*l**2 + 282*l - 495.
3*(l + 15)*(7*l - 11)
Find b such that 2*b**2/5 - 1992*b/5 + 496008/5 = 0.
498
Determine l, given that -l**3 + 68*l**2 - 309*l - 378 = 0.
-1, 6, 63
Solve w**4/6 + w**3/2 + w**2/2 + w/6 = 0.
-1, 0
What is l in -l**4/8 - l**3/2 + 11*l**2/8 - 3*l/4 = 0?
-6, 0, 1
Determine i, given that 4*i**3/9 - 4*i/3 - 8/9 = 0.
-1, 2
Solve -5*c**4 - 75*c**3 - 330*c**2 - 400*c = 0.
-8, -5, -2, 0
Factor -b**3/9 + 52*b**2/3.
-b**2*(b - 156)/9
What is y in -5*y**3 + 35*y**2 = 0?
0, 7
Determine j so that -10*j**5/3 - 16*j**4 + 20*j**3/3 + 16*j**2 - 10*j/3 = 0.
-5, -1, 0, 1/5, 1
Find d such that 2*d**2 - 30*d + 28 = 0.
1, 14
Factor 4*h**3 - 284*h**2.
4*h**2*(h - 71)
Let -z**4 - 2*z**3 + 4*z**2 + 2*z - 3 = 0. Calculate z.
-3, -1, 1
Factor 3*j**5.
3*j**5
Factor -r**4/8 - 8*r**3 - 31*r**2/4 + 8*r + 63/8.
-(r - 1)*(r + 1)**2*(r + 63)/8
Solve -196*g**5/3 - 364*g**4/3 + 55*g**3/3 - 2*g**2/3 = 0.
-2, 0, 1/14
Factor d**2/7 + 3*d/7 - 18/7.
(d - 3)*(d + 6)/7
Suppose -45*g**5/2 - 687*g**4/4 - 765*g**3/4 + 405*g**2/2 + 165*g + 18 = 0. Calculate g.
-6, -2, -1/2, -2/15, 1
Find p such that 2*p**2 + 22*p + 20 = 0.
-10, -1
Suppose 18*x**4/7 - 94*x**3/7 - 214*x**2/7 - 74*x/7 + 4 = 0. Calculate x.
-1, 2/9, 7
Solve -g**5 - 245*g**4 + 495*g**3 + 245*g**2 - 494*g = 0.
-247, -1, 0, 1, 2
Determine n so that 3*n**5 + 30*n**4 + 39*n**3 - 96*n**2 - 204*n - 96 = 0.
-8, -2, -1, 2
Factor -2*b**4 + 24*b**3 - 60*b**2 + 56*b - 18.
-2*(b - 9)*(b - 1)**3
Determine l, given that -l**5 - 24*l**4 + 81*l**3 - 4*l**2 - 108*l = 0.
-27, -1, 0, 2
Let -4*p**4/3 + 8*p**3 + 76*p**2/3 - 32*p = 0. Calculate p.
-3, 0, 1, 8
Factor -2*h**2/7 - 12144*h/7 - 18434592/7.
-2*(h + 3036)**2/7
Find d, given that -2*d**2 - 188*d + 190 = 0.
-95, 1
Factor 2*b**5 + 10*b**4 + 14*b**3 + 6*b**2.
2*b**2*(b + 1)**2*(b + 3)
Suppose -4*j**2 - 188*j = 0. What is j?
-47, 0
Suppose 4*b**5 + 34*b**4 + 88*b**3 + 18*b**2 - 216*b - 216 = 0. Calculate b.
-3, -2, 3/2
What is t in -3*t**4/5 - 9*t**3/5 + 1512*t**2/5 + 2940*t = 0?
-14, 0, 25
Solve -2*c**5 + 56*c**4 + 262*c**3 - 164*c**2 - 880*c - 512 = 0 for c.
-4, -1, 2, 32
Factor u**4/4 - 13*u**3/4 - u**2/4 + 13*u/4.
u*(u - 13)*(u - 1)*(u + 1)/4
Find l, given that 5*l**2 - 50*l + 80 = 0.
2, 8
Determine g, given that -3*g**3 + 1053*g**2 - 91872*g - 92928 = 0.
-1, 176
Factor g**3/6 + 13*g**2/6 + 23*g/6 + 11/6.
(g + 1)**2*(g + 11)/6
Factor -5*u**3 + 170*u**2 + 2760*u.
-5*u*(u - 46)*(u + 12)
Factor 16*d**2 + 1540*d + 384.
4*(d + 96)*(4*d + 1)
Factor 2*p**4/3 + 7*p**3/3 + 2*p**2 - p/3 - 2/3.
(p + 1)**2*(p + 2)*(2*p - 1)/3
Factor -4*i**3/3 - 13536*i**2 - 45805824*i - 51668969472.
-4*(i + 3384)**3/3
Solve -2*o**5 + 18*o**4 - 48*o**3 + 32*o**2 = 0 for o.
0, 1, 4
Find n, given that n**2/2 + n - 3/2 = 0.
-3, 1
Determine p so that 3*p**2/2 - 117*p/2 - 60 = 0.
-1, 40
Factor -3*k**2 - 162*k - 2187.
-3*(k + 27)**2
Solve 25*y**4 - 310*y**3 - 205*y**2 + 130*y = 0 for y.
-1, 0, 2/5, 13
Factor -3*o**4 + 9*o**2 + 6*o.
-3*o*(o - 2)*(o + 1)**2
Factor -5*h**3 + 290*h**2 - 4565*h + 21780.
-5*(h - 36)*(h - 11)**2
Determine w so that -2*w**2/13 + 58*w/13 + 60/13 = 0.
-1, 30
Find c, given that -2*c**5/3 + 78*c**4 + 236*c**3/3 = 0.
-1, 0, 118
Solve -4*w**4 + 12*w**3 + 12*w**2 - 28*w - 24 = 0 for w.
-1, 2, 3
Factor v**3 + 1551*v**2 + 603720*v + 1797228.
(v + 3)*(v + 774)**2
Factor -21*o**4 - 36*o**3 - 9*o**2 + 6*o.
-3*o*(o + 1)**2*(7*o - 2)
Find u, given that -57*u**3 + 84*u**2 + 3*u - 30 = 0.
-10/19, 1
Solve 2*c**4 + 598*c**3 + 2362*c**2 + 578*c - 3540 = 0.
-295, -3, -2, 1
Factor -4*v**2 - 68*v - 280.
-4*(v + 7)*(v + 10)
Factor 3*z**3 - 2943*z**2 + 723240*z - 720300.
3*(z - 490)**2*(z - 1)
Suppose 4*r**3 - 148*r**2 - 152*r = 0. Calculate r.
-1, 0, 38
Factor -2*i**4/5 + 4*i**2/5 - 2/5.
-2*(i - 1)**2*(i + 1)**2/5
Factor -g**5/3 + 2*g**4/3 + 4*g**3/3 - 8*g**2/3.
-g**2