 55*t**4 + 215*t**3 + 365*t**2 + 280*t + 80.
5*(t + 1)**3*(t + 4)**2
Factor 154*u**4 + 312*u**3 + 8*u**2.
2*u**2*(u + 2)*(77*u + 2)
Factor 2*h**5/13 + 14*h**4/13 - 34*h**3/13 + 18*h**2/13.
2*h**2*(h - 1)**2*(h + 9)/13
Determine b so that -4*b**2 - 68*b - 240 = 0.
-12, -5
Factor -2*q**4/19 + 586*q**3/19 - 2320*q**2/19 + 2312*q/19.
-2*q*(q - 289)*(q - 2)**2/19
Factor -4*q**2 + 448*q - 12544.
-4*(q - 56)**2
Solve -20*t**4 - 132*t**3 - 24*t**2 + 272*t - 96 = 0.
-6, -2, 2/5, 1
Determine l so that -2*l**2/13 - 20*l/13 + 112/13 = 0.
-14, 4
Factor 3*z**3/5 - 939*z**2/5 + 71073*z/5 + 75843.
3*(z - 159)**2*(z + 5)/5
Factor -2*i**5/11 - 342*i**4/11 + 344*i**3/11.
-2*i**3*(i - 1)*(i + 172)/11
Factor 8*n**2 - 1060*n/3.
4*n*(6*n - 265)/3
Factor 4*j**2/3 + 20*j - 64/3.
4*(j - 1)*(j + 16)/3
Let t**5/2 + 19*t**4/2 + 31*t**3 - 80*t**2 - 336*t = 0. What is t?
-14, -4, 0, 3
Find g such that -5*g**5/6 + 20*g**4/3 + 5*g**3 - 140*g**2/3 + 335*g/6 - 20 = 0.
-3, 1, 8
Factor 5*r**5 + 20*r**4.
5*r**4*(r + 4)
What is k in -2*k**3/3 + 46*k**2/3 + 52*k/3 - 32 = 0?
-2, 1, 24
Factor 2*i**3/7 - 5220*i**2/7 + 3406050*i/7.
2*i*(i - 1305)**2/7
Solve -2*q**2/11 + 14*q/11 + 588/11 = 0 for q.
-14, 21
Factor -r**2/8 + 3*r/8 - 1/4.
-(r - 2)*(r - 1)/8
What is m in -m**5/4 + 63*m**4/4 - 264*m**3 + 295*m**2 + 6600*m - 18000 = 0?
-5, 4, 30
Factor -2*n**5/3 - 48*n**4 - 1072*n**3/3 - 3136*n**2/3 - 1376*n - 2048/3.
-2*(n + 2)**4*(n + 64)/3
Find p such that 4*p**4 - 36*p**2 - 16*p + 48 = 0.
-2, 1, 3
Factor -22*a**2/3 + 40*a/3 + 8/3.
-2*(a - 2)*(11*a + 2)/3
Factor -8*s**5 + 89*s**4 - 371*s**3 + 693*s**2 - 513*s + 54.
-(s - 3)**3*(s - 2)*(8*s - 1)
Factor 4*g**5 + 8*g**4 - 4*g**3 - 8*g**2.
4*g**2*(g - 1)*(g + 1)*(g + 2)
Factor -f**4/5 - 86*f**3 - 43573*f**2/5 + 114036*f - 1758276/5.
-(f - 6)**2*(f + 221)**2/5
Find u such that u**2/4 + 15*u/4 - 17/2 = 0.
-17, 2
Find q, given that 3*q**5 - 66*q**4 + 225*q**3 - 150*q**2 - 228*q + 216 = 0.
-1, 1, 2, 18
Solve -x**2 + 350*x - 2736 = 0.
8, 342
Factor -j**2/4 - 41*j - 1681.
-(j + 82)**2/4
Factor 2*j**2/9 - 130*j/9 - 44/3.
2*(j - 66)*(j + 1)/9
Solve -242*c**4/3 + 2552*c**3/3 + 1324*c**2/3 - 424*c + 66 = 0 for c.
-1, 3/11, 11
Find d such that -d**3/5 + d**2 + 6*d/5 = 0.
-1, 0, 6
Find g such that 2*g**2/5 + 1976*g/5 + 488072/5 = 0.
-494
Factor b**3 + 3*b**2.
b**2*(b + 3)
Factor s**5/3 + s**4 + s**3 + s**2/3.
s**2*(s + 1)**3/3
Factor 16*v**4/7 + 110*v**3/7 - 2*v**2.
2*v**2*(v + 7)*(8*v - 1)/7
Factor 4*m**2 + 580*m - 1176.
4*(m - 2)*(m + 147)
Factor 3*f**5 - 18*f**3 + 24*f**2 - 9*f.
3*f*(f - 1)**3*(f + 3)
Factor -3*z**4 + 21*z**3 + 54*z**2.
-3*z**2*(z - 9)*(z + 2)
Factor -4*o**3 - 172*o**2 + 544*o - 368.
-4*(o - 2)*(o - 1)*(o + 46)
Suppose -5*t**2/3 - 70*t/3 - 40 = 0. Calculate t.
-12, -2
Determine q so that -3*q**3 + 9*q**2 + 432*q - 2496 = 0.
-13, 8
Factor 9*l**4 - 172*l**3 + 1037*l**2 - 1582*l - 2352.
(l - 7)**2*(l - 6)*(9*l + 8)
Solve -2*d**3/11 - 52*d**2/11 + 170*d/11 - 116/11 = 0.
-29, 1, 2
Factor -q**2 - 32*q - 60.
-(q + 2)*(q + 30)
Factor -5*d**3 - 560*d**2 - 15680*d.
-5*d*(d + 56)**2
Factor 3*q**2/4 + 33*q/2 - 36.
3*(q - 2)*(q + 24)/4
Solve 4*n**4/7 - 12*n**3/7 - 32*n**2/7 + 48*n/7 + 64/7 = 0 for n.
-2, -1, 2, 4
Solve g**5/2 + 7*g**4/2 + 7*g**3/2 - 23*g**2/2 - 4*g + 8 = 0 for g.
-4, -1, 1
Factor -z**3/6 - 119*z**2/6 - 235*z/6 - 39/2.
-(z + 1)**2*(z + 117)/6
Factor -2*r**4/5 + 8*r**3/5 - 2*r**2 + 4*r/5.
-2*r*(r - 2)*(r - 1)**2/5
Factor -4*s**2 - 192*s - 2304.
-4*(s + 24)**2
Factor 2*t**4 + 14*t**3 + 32*t**2 + 24*t.
2*t*(t + 2)**2*(t + 3)
Solve 20*n**5/7 + 34*n**4 + 762*n**3/7 + 548*n**2/7 + 16*n = 0.
-7, -4, -1/2, -2/5, 0
Suppose 3*t**2/8 - 33*t/8 = 0. Calculate t.
0, 11
Solve 5*u**4/3 - 55*u**2/3 - 30*u - 40/3 = 0.
-2, -1, 4
Factor 98*k**4 + 14*k**3 - 419*k**2/2 - 15*k + 225/2.
(k - 1)**2*(14*k + 15)**2/2
Factor -2*s**2 + 8112*s - 8225568.
-2*(s - 2028)**2
Suppose -5*i**4 + 225*i**3 - 840*i**2 + 820*i = 0. Calculate i.
0, 2, 41
Solve -3*z**5/4 - 61*z**4/4 - z**3 + 81*z**2 + 16*z - 80 = 0 for z.
-20, -2, -4/3, 1, 2
Suppose -3025*z**4 - 6380*z**3 - 669*z**2 - 18*z = 0. What is z?
-2, -3/55, 0
Let 3*h**5 + 27*h**4 - 39*h**3 - 75*h**2 + 144*h - 60 = 0. Calculate h.
-10, -2, 1
Let -6*k**2 + 15*k - 6 = 0. Calculate k.
1/2, 2
Let -2*x**4 - 76*x**3 + 2*x**2 + 76*x = 0. What is x?
-38, -1, 0, 1
Determine k, given that -k**5/3 - 5*k**4/3 - 2*k**3/3 + 20*k**2/3 + 8*k = 0.
-3, -2, 0, 2
Find u, given that -3*u**3/2 + 375*u**2/2 + 759*u/2 + 381/2 = 0.
-1, 127
Factor 2*t**3 - 180*t**2 + 694*t - 516.
2*(t - 86)*(t - 3)*(t - 1)
Find c, given that -3*c**2 + 906*c - 903 = 0.
1, 301
What is p in -3*p**2/2 + 666*p - 73926 = 0?
222
Determine x, given that x**4/6 + 5*x**3/3 + 11*x**2/2 + 22*x/3 + 10/3 = 0.
-5, -2, -1
Let -10*y**4/13 - 106*y**3/13 + 504*y**2/13 + 376*y/13 - 224/13 = 0. Calculate y.
-14, -1, 2/5, 4
Factor -2*q**4/5 + 2*q**3 - 6*q**2/5 - 18*q/5.
-2*q*(q - 3)**2*(q + 1)/5
Solve -3*l**5 + 3*l**4 + 3*l**3 - 3*l**2 = 0.
-1, 0, 1
What is z in z**4/6 + 2*z**3/3 - z**2 - 2*z/3 + 5/6 = 0?
-5, -1, 1
Suppose -p**3 + 2*p**2 + 15*p = 0. Calculate p.
-3, 0, 5
Suppose -3*m**3/2 - 33*m**2/2 - 117*m/2 - 135/2 = 0. Calculate m.
-5, -3
Solve -f**3 - 5*f**2 - 8*f - 4 = 0.
-2, -1
Solve 53*v**3 + 2*v**2 - 53*v - 2 = 0 for v.
-1, -2/53, 1
Let 18*g**3/7 + 118*g**2/7 - 66*g/7 - 10 = 0. What is g?
-7, -5/9, 1
Factor 12*h**3 - 75*h**2 + 63*h.
3*h*(h - 1)*(4*h - 21)
Determine n so that 15*n**4 + 96*n**3 - 99*n**2 - 264*n - 84 = 0.
-7, -1, -2/5, 2
Determine q, given that -q**2/6 + 62*q/3 + 256/3 = 0.
-4, 128
Factor 5*m**3 + 7140*m**2 + 3398640*m + 539250880.
5*(m + 476)**3
Factor -4*h**2 - 20*h.
-4*h*(h + 5)
Factor -18*u**3 - 2710*u**2 + 6716*u - 2448.
-2*(u - 2)*(u + 153)*(9*u - 4)
Factor 2*c**3 - 10*c**2 + 4*c + 16.
2*(c - 4)*(c - 2)*(c + 1)
Factor 8*k**2 - 762*k + 190.
2*(k - 95)*(4*k - 1)
Factor 5*o**2 - 5*o - 100.
5*(o - 5)*(o + 4)
Determine t, given that -t**3/2 + 467*t**2/2 - 27608*t + 80736 = 0.
3, 232
Factor -4*f**4/7 - 16*f**3/7.
-4*f**3*(f + 4)/7
Factor -5*p**5 + 45*p**4 - 90*p**3.
-5*p**3*(p - 6)*(p - 3)
Suppose m**5/6 - 10*m**4/3 + 39*m**3/2 - 27*m**2 = 0. What is m?
0, 2, 9
Find c, given that c**2 + 273*c + 272 = 0.
-272, -1
Factor f**3/2 - 15*f**2/2 + 71*f/2 - 105/2.
(f - 7)*(f - 5)*(f - 3)/2
Find l such that l**5/3 - l**4 - l**3/3 + 7*l**2/3 - 4/3 = 0.
-1, 1, 2
Factor 5*t**5 - 12*t**4 + 4*t**3 + 10*t**2 - 9*t + 2.
(t - 1)**3*(t + 1)*(5*t - 2)
Factor 3*x**3/5 - 132*x**2/5 + 711*x/5 - 1026/5.
3*(x - 38)*(x - 3)**2/5
Let -3*u**4/7 - 108*u**3/7 - 564*u**2/7 - 720*u/7 = 0. What is u?
-30, -4, -2, 0
Factor 3*a**3/4 - 7*a**2/2 - 55*a/4 + 21/2.
(a - 7)*(a + 3)*(3*a - 2)/4
Factor 7*k**3/5 + k**2 - 86*k/5 + 24/5.
(k - 3)*(k + 4)*(7*k - 2)/5
Factor 3*n**2/7 - 1011*n.
3*n*(n - 2359)/7
Factor -4*h**4 - 32*h**3 - 24*h**2 + 160*h - 100.
-4*(h - 1)**2*(h + 5)**2
Factor -4*f**3 - 116*f**2 + 376*f - 256.
-4*(f - 2)*(f - 1)*(f + 32)
Suppose v**3/6 - v**2/2 + v/3 = 0. What is v?
0, 1, 2
Factor 25*y**4/3 + 5*y**3/2 - 2*y**2 - 2*y/3.
y*(2*y - 1)*(5*y + 2)**2/6
Determine p, given that 8427*p**4/4 + 8109*p**3/2 + 7167*p**2/4 - 153*p + 3 = 0.
-1, 2/53
Find z such that -z**3 - 40*z**2 + 4*z + 160 = 0.
-40, -2, 2
What is d in 2*d**4 - 49*d**3 + 149*d**2 - 39*d - 63 = 0?
-1/2, 1, 3, 21
Factor 2*p**4 - 16*p**3 - 116*p**2 - 176*p - 78.
2*(p - 13)*(p + 1)**2*(p + 3)
Factor -a**2 - 9*a + 10.
-(a - 1)*(a + 10)
Determine v, given that 4*v**2/3 + 56*v - 2080/3 = 0.
-52, 10
Find q, given that 5*q**5/3 + 10*q**4/3 - 25*q**3 - 40*q**2/3 + 340*q/3 - 80 = 0.
-4, -3, 1, 2
Suppose 3*j**5 - 15*j**4 + 9*j**3 + 15*j**2 - 12*j = 0. What is j?
-1, 0, 1, 4
Let 4*r**2/3 - 4928*r - 14788/3 = 0. What is r?
-1, 3697
What is n in 2*n**3 + 2*n**2 = 0?
-1, 0
Factor u**5/4 - u**4 + u**3.
u**3*(u - 2)**2/4
Determine a so that 28*a**4 - 172*a**3 + 328*a**2 - 192*a = 0.
0, 8/7, 2, 3
Suppose -50*n**5/17 - 220*n**4/17 - 362*n**3/17 - 264*n**2/17 - 72*n/17 = 0. Calculate n.
-6/5, -1, 0
Let i**4 + 2*i**3 - 27*i**2 + 52*i - 28 = 0. Calculate i.
-7, 1, 2
Factor -4*f**4 - 856*f**3 - 42180*f**2 + 394272*f.
-4*f*(f - 8)*(f + 111)**2
Solve -7*o**2 + 3*o + 4 = 0 for o.
-4/7, 1
Factor i**4/5 + 16*i**3/5 - 17*i**2/5.
i**2*(i - 1)*(i + 17)/5
Factor -5*o**3 - 25*o**2 - 40*o - 20.
-5*(o + 1)*(o + 2)**2
What is u in u**2/5 - 316*u/5 - 636