 = 0.
-17, 1, 6
Let -5*o**2 + 55*o - 120 = 0. Calculate o.
3, 8
Solve 46*n**3/5 - 8*n**2/3 = 0 for n.
0, 20/69
Find p such that 5*p**3 + 465*p**2 + 10080*p - 34560 = 0.
-48, 3
Factor -2*f**4 + 2*f**3 + 90*f**2 + 166*f + 80.
-2*(f - 8)*(f + 1)**2*(f + 5)
Determine k so that -5*k**3 + 8035*k**2 + 16085*k + 8045 = 0.
-1, 1609
Factor -3*w**2/7 - 30*w/7 - 27/7.
-3*(w + 1)*(w + 9)/7
Let 28*f**5 + 152*f**4 + 284*f**3 + 208*f**2 + 48*f = 0. What is f?
-2, -1, -3/7, 0
Factor m**2 + 12168*m + 37015056.
(m + 6084)**2
Factor u**2/4 - 21*u/4 - 221/2.
(u - 34)*(u + 13)/4
Factor -r**4 - 6*r**3 + 7*r**2.
-r**2*(r - 1)*(r + 7)
Determine h, given that -4*h**4/5 + 254*h**3/5 + 418*h**2/5 - 358*h - 390 = 0.
-3, -1, 5/2, 65
Solve 270*m**3/11 + 1902*m**2/11 + 3324*m/11 + 144/11 = 0.
-4, -3, -2/45
Find l such that 4*l**3 + 20*l**2 - 96*l = 0.
-8, 0, 3
Let -27*r**4 + 210*r**3 + 48*r**2 = 0. Calculate r.
-2/9, 0, 8
Suppose -3*p**3 + 297*p**2 - 7497*p + 7203 = 0. Calculate p.
1, 49
Suppose -5*x**2 + 485*x - 950 = 0. What is x?
2, 95
Factor -3*t**4 + 9*t**3 - 9*t**2 + 3*t.
-3*t*(t - 1)**3
Factor -2*v**2/9 - 1708*v/9 - 364658/9.
-2*(v + 427)**2/9
Find s, given that 42*s**5/5 - 62*s**4/5 - 18*s**3 + 14*s**2 + 48*s/5 - 8/5 = 0.
-1, -2/3, 1/7, 1, 2
Factor -5*b**4 + 15*b**3 - 20*b.
-5*b*(b - 2)**2*(b + 1)
Factor 4*m**5 + 24*m**4 + 32*m**3.
4*m**3*(m + 2)*(m + 4)
What is i in i**3 - 7*i**2/3 - 30*i - 56/3 = 0?
-4, -2/3, 7
Suppose -2*x**4 + 368*x**3 + 2*x**2 - 368*x = 0. Calculate x.
-1, 0, 1, 184
Factor -5*w**2 - 275*w - 2420.
-5*(w + 11)*(w + 44)
Determine l, given that 3*l**4 - 75*l**3 + 36*l**2 + 864*l = 0.
-3, 0, 4, 24
Factor w**3/6 - 19*w/6 + 5.
(w - 3)*(w - 2)*(w + 5)/6
Find x such that -2*x**4/3 + 3*x**3/2 + 25*x**2/3 + 9*x/2 - 5/3 = 0.
-2, -1, 1/4, 5
Factor -s**5 + 12*s**4 - 21*s**3 + 10*s**2.
-s**2*(s - 10)*(s - 1)**2
Let 5*h**5/7 + 12*h**4/7 - 711*h**3/7 - 1726*h**2/7 - 1296*h/7 - 288/7 = 0. What is h?
-12, -1, -2/5, 12
Find y, given that y**4 + 69*y**3 + 1224*y**2 + 1156*y = 0.
-34, -1, 0
Factor -43*i**3 + 84*i**2 + 4*i.
-i*(i - 2)*(43*i + 2)
Factor -3*g**2/7 - 42*g - 1029.
-3*(g + 49)**2/7
Determine v so that -v**3 - 3*v**2 + 160*v - 300 = 0.
-15, 2, 10
What is c in -c**4/7 - 2*c**3 - 61*c**2/7 - 12*c - 36/7 = 0?
-6, -1
Suppose -5*t**3 - 345*t**2 = 0. Calculate t.
-69, 0
Solve w**5/6 + 4*w**4/3 + 5*w**3/2 - 2*w**2/3 - 10*w/3 = 0 for w.
-5, -2, 0, 1
What is g in g**3 - 42*g**2 + 311*g - 462 = 0?
2, 7, 33
Determine t so that -4*t**4/9 - 34*t**3/3 + 656*t**2/9 - 266*t/3 + 248/9 = 0.
-31, 1/2, 1, 4
Factor -3*t**2 + 1944*t - 1941.
-3*(t - 647)*(t - 1)
Suppose 4*a**2 - 16 = 0. Calculate a.
-2, 2
Suppose -84*x**2 - 244*x + 24 = 0. Calculate x.
-3, 2/21
Factor s**4/5 - s**3 + 9*s**2/5 - 7*s/5 + 2/5.
(s - 2)*(s - 1)**3/5
Find o, given that o**3/7 - 13*o**2/7 + 10*o/7 + 24/7 = 0.
-1, 2, 12
Factor 3*q**3 - 51*q**2 - 3*q + 51.
3*(q - 17)*(q - 1)*(q + 1)
Factor -w**4/2 - w**3 + 75*w**2/2 + 126*w - 162.
-(w - 9)*(w - 1)*(w + 6)**2/2
Factor 21*p**3/4 - 281*p**2/4 + 25*p + 13.
(p - 13)*(3*p - 2)*(7*p + 2)/4
Factor 40*x**3 + 204*x**2 + 180*x + 16.
4*(x + 1)*(x + 4)*(10*x + 1)
Solve -3*h**4 + 258*h**3 + 261*h**2 = 0 for h.
-1, 0, 87
Determine d, given that 5*d**2 - 160*d = 0.
0, 32
Solve 2*i**3/3 - 14*i**2/3 + 28*i/3 - 16/3 = 0 for i.
1, 2, 4
Solve t**2 - 2082*t + 1083681 = 0.
1041
Factor 4*p**2 + 176*p - 180.
4*(p - 1)*(p + 45)
Factor -5*y**3 + 285*y**2 - 3915*y - 4205.
-5*(y - 29)**2*(y + 1)
Factor -n**3/5 + 463*n**2/5 - 54731*n/5 + 52441.
-(n - 229)**2*(n - 5)/5
Solve -5*d**5 - 775*d**4 + 1590*d**3 + 3100*d**2 - 6280*d = 0 for d.
-157, -2, 0, 2
Suppose 1108*k**2/9 - 1084*k/9 - 8/3 = 0. Calculate k.
-6/277, 1
Find o, given that o**4/4 + 3*o**3/2 - 9*o**2/4 - 7*o/2 = 0.
-7, -1, 0, 2
Let -y**3/5 - 22*y**2/5 - 17*y/5 + 152 = 0. What is y?
-19, -8, 5
Factor -2*d**2 + 1058*d - 1056.
-2*(d - 528)*(d - 1)
Factor 3*q**2/2 - 18*q + 81/2.
3*(q - 9)*(q - 3)/2
Determine m, given that 3*m**5/4 + 3*m**4/4 - 21*m**3/4 - 39*m**2/4 - 9*m/2 = 0.
-2, -1, 0, 3
Find g such that g**2 - 28*g - 29 = 0.
-1, 29
What is z in 5*z**3 - 170*z**2 - 375*z + 540 = 0?
-3, 1, 36
Suppose -5*p**5/6 + 13*p**4/6 + 101*p**3/6 + 23*p**2/6 - 16*p - 6 = 0. Calculate p.
-3, -1, -2/5, 1, 6
Factor 578*q**5/3 - 340*q**4 + 314*q**3/3 + 40*q**2 + 8*q/3.
2*q*(q - 1)**2*(17*q + 2)**2/3
Let -2*p**2 - 414*p + 416 = 0. What is p?
-208, 1
Solve -12*m**3 + 82*m**2 + 110*m + 16 = 0.
-1, -1/6, 8
Determine h so that -5*h**4/2 - 325*h**3/2 - 4845*h**2/2 + 10685*h/2 - 2755 = 0.
-38, -29, 1
Determine m, given that -3*m**3/2 + 525*m**2/2 - 12348*m + 74088 = 0.
7, 84
Find o such that 2*o**2 - 1040*o + 6168 = 0.
6, 514
Let h**3/9 + 2*h**2/9 - h/3 = 0. Calculate h.
-3, 0, 1
Let 3*j**4 + 60*j**3 + 279*j**2 + 378*j = 0. What is j?
-14, -3, 0
Factor 4*p**4 - 8*p**3 - 112*p**2 - 184*p - 84.
4*(p - 7)*(p + 1)**2*(p + 3)
Find k, given that -9*k**4/4 + 23*k**3/2 - 59*k**2/4 + 3*k/2 = 0.
0, 1/9, 2, 3
Solve 5*y**4 - 545*y**3 - 1665*y**2 - 1675*y - 560 = 0.
-1, 112
Determine j so that 2*j**5/11 - 20*j**4/11 + 38*j**3/11 + 60*j**2/11 = 0.
-1, 0, 5, 6
Factor 4*h**2 - 1808*h + 204304.
4*(h - 226)**2
Let 2*m**3 + 18*m**2 - 60*m - 176 = 0. Calculate m.
-11, -2, 4
Suppose -25*d**5 + 65*d**4 + 280*d**3 - 500*d**2 - 240*d = 0. What is d?
-3, -2/5, 0, 2, 4
Factor -4*t**3 + 308*t**2 - 6364*t + 16428.
-4*(t - 37)**2*(t - 3)
Factor -i**4 + 30*i**3 - 148*i**2 - 1326*i + 1445.
-(i - 17)**2*(i - 1)*(i + 5)
Factor 2*m**5/3 - 112*m**4/3 + 1874*m**3/3 - 8716*m**2/3 + 15800*m/3 - 10000/3.
2*(m - 25)**2*(m - 2)**3/3
Find q, given that -4*q**4 + 7904*q**3 - 5856864*q**2 + 1928860544*q - 238214277184 = 0.
494
Find b, given that -b**3/3 - 5*b**2/3 + 13*b/3 - 7/3 = 0.
-7, 1
Find r such that 12*r**5 - 32*r**4 - 236*r**3 + 912*r**2 - 976*r + 320 = 0.
-5, 2/3, 1, 2, 4
Factor -2*m**4/9 + 4*m**3/3 + 10*m**2/3 - 200*m/9.
-2*m*(m - 5)**2*(m + 4)/9
Determine u so that 249*u**3 + 981*u**2/2 + 234*u - 15/2 = 0.
-1, 5/166
Factor 5*o**3 - 1895*o**2 + 1890*o.
5*o*(o - 378)*(o - 1)
Factor 2*q**2/9 - 364*q/9 + 16562/9.
2*(q - 91)**2/9
Find n, given that 2*n**2 + 5870*n + 5868 = 0.
-2934, -1
Factor 5*b**2 + 90*b + 385.
5*(b + 7)*(b + 11)
Suppose 70*b**5/11 + 258*b**4/11 + 362*b**3/11 + 238*b**2/11 + 72*b/11 + 8/11 = 0. Calculate b.
-1, -2/5, -2/7
Factor -5*l**2 - 90*l - 325.
-5*(l + 5)*(l + 13)
Let 3*p**4 - p**3 - 63*p**2 - 39*p + 20 = 0. Calculate p.
-4, -1, 1/3, 5
Factor z**3/7 - 239*z**2/7 + 474*z/7.
z*(z - 237)*(z - 2)/7
Solve m**4 - 51*m**3 + 99*m**2 - 49*m = 0.
0, 1, 49
Factor 4*j**3 + 24384*j**2 + 49548288*j + 33560707072.
4*(j + 2032)**3
Determine s, given that -2*s**3/9 + 4*s**2/3 + 50*s/9 + 4 = 0.
-2, -1, 9
Factor -2*l**4/5 + 32*l**3/5 - 176*l**2/5 + 384*l/5 - 288/5.
-2*(l - 6)**2*(l - 2)**2/5
Factor 4*p**3 - 28*p**2 - 160*p - 176.
4*(p - 11)*(p + 2)**2
Suppose p**2/3 + 942*p + 665523 = 0. Calculate p.
-1413
Factor 2*k**3/5 + 26*k**2 + 726*k/5 + 1062/5.
2*(k + 3)**2*(k + 59)/5
Factor 3*o**5/8 - 1839*o**4/8 + 187269*o**3/4 - 12545385*o**2/4 - 51312525*o/8 - 25845375/8.
3*(o - 205)**3*(o + 1)**2/8
Find k, given that -3*k**4/8 - 51*k**3/4 - 189*k**2/2 - 1053*k/4 - 2025/8 = 0.
-25, -3
Factor i**5/3 + 82*i**4/3 + 1417*i**3/3 - 3608*i**2 + 5808*i.
i*(i - 3)**2*(i + 44)**2/3
Factor -f**2/2 - 23*f/2 - 11.
-(f + 1)*(f + 22)/2
Factor j**3/2 - 23*j**2 + 44*j.
j*(j - 44)*(j - 2)/2
Suppose -l**4/3 - 422*l**3/3 - 14699*l**2 + 89464*l/3 - 44944/3 = 0. What is l?
-212, 1
Find c such that c**5/2 - 7*c**3/2 - 3*c**2 = 0.
-2, -1, 0, 3
Suppose -i**3/6 - 2891*i**2/6 - 348004*i + 348486 = 0. Calculate i.
-1446, 1
Determine d, given that d**4 + 237*d**3 + 14387*d**2 + 40131*d - 54756 = 0.
-117, -4, 1
Factor 19*x**3/5 + 8*x**2 + 23*x/5 + 2/5.
(x + 1)**2*(19*x + 2)/5
Find a such that -2*a**5 + 50*a**4 - 380*a**3 + 540*a**2 + 2430*a + 1458 = 0.
-1, 9
Factor 4*u**4 - 36*u**3 - 4*u**2 + 36*u.
4*u*(u - 9)*(u - 1)*(u + 1)
Solve 2*h**2 + 20*h - 112 = 0.
-14, 4
Factor -2*q**5/11 - 226*q**4/11 - 6032*q**3/11 + 20184*q**2/11.
-2*q**2*(q - 3)*(q + 58)**2/11
Factor -3*k**5 + 75*k**4 - 570*k**3 + 810*k**2 + 3645*k + 2187.
-3*(k - 9)**3*(k + 1)**2
Factor 4*r**5 + 180*r**4 + 344*r**3 - 8*r**2 - 348*r - 172.
4*(r - 1)*(r + 1)**3*(r + 43)
Factor 4*u**3 + 9324*u**2 + 5438220*u + 5428900.
4*(u + 1)*(u + 1165)**2
Find s, 