p**2 + 18*p + 10.
-2*(p - 5)*(p + 1)**2
Find y, given that 2*y**5 - 8*y**4 + 4*y**3 + 8*y**2 - 6*y = 0.
-1, 0, 1, 3
Solve -10*d**2/7 + 32*d/7 - 6/7 = 0.
1/5, 3
Determine r so that -5*r**4 + 15*r**3 + 90*r**2 - 160*r - 480 = 0.
-3, -2, 4
Find h such that 5*h**5/3 - 13225*h**4/3 + 13992050*h**3/3 - 7401794450*h**2/3 + 1957774632025*h/3 - 207132556068245/3 = 0.
529
Factor -4*m**3 + 1044*m**2 - 67596*m - 68644.
-4*(m - 131)**2*(m + 1)
Suppose 4*o**4/7 + 48*o**3/7 - 24*o**2 + 176*o/7 - 60/7 = 0. Calculate o.
-15, 1
Factor 3*g**2/8 + 81*g/8 + 39/4.
3*(g + 1)*(g + 26)/8
Let 4*y**4 - 2064*y**3 + 8212*y**2 - 10248*y + 4096 = 0. What is y?
1, 2, 512
Factor -o**2/4 + 21*o/4.
-o*(o - 21)/4
Solve -5*s**5 - 310*s**4 + 45*s**3 + 2770*s**2 - 1300*s - 3720 = 0 for s.
-62, -3, -1, 2
Factor k**3/4 + 83*k**2/4 + 420*k - 441.
(k - 1)*(k + 42)**2/4
What is a in 175*a**5 + 55*a**4 - 2193*a**3 + 1465*a**2 - 326*a + 24 = 0?
-4, 1/5, 2/7, 3
Determine p, given that -4*p**4/3 + 64*p**3/3 + 24*p**2 - 64*p/3 - 68/3 = 0.
-1, 1, 17
Factor 51*d**4 - 198*d**3 + 180*d**2 + 24*d.
3*d*(d - 2)**2*(17*d + 2)
Determine j so that 4*j**3 - 1048*j**2 - 1052*j = 0.
-1, 0, 263
Let -q**4/4 + 5*q**2/4 - 1 = 0. Calculate q.
-2, -1, 1, 2
Factor f**5/2 - 1291*f**4/2 - 2587*f**3 - 3883*f**2 - 5179*f/2 - 1295/2.
(f - 1295)*(f + 1)**4/2
Determine u, given that u**5/3 - 37*u**4/3 + 356*u**3/3 - 176*u**2/3 - 480*u + 432 = 0.
-2, 1, 2, 18
Determine i, given that -4*i**2 - 136*i = 0.
-34, 0
Factor t**2 + 2168*t + 1175056.
(t + 1084)**2
Factor l**5/3 - l**4/3 - 17*l**3/3 + 7*l**2 + 12*l.
l*(l - 3)**2*(l + 1)*(l + 4)/3
Find o, given that -4*o**3 + 80*o**2 - 268*o + 192 = 0.
1, 3, 16
Find x, given that 15*x**4 - 39*x**3 - 33*x**2 + 39*x + 18 = 0.
-1, -2/5, 1, 3
Factor 2*g**4/7 + 60*g**3/7 + 450*g**2/7.
2*g**2*(g + 15)**2/7
Let -2*y**5 - 11*y**4 + 20*y**3 - 7*y**2 = 0. What is y?
-7, 0, 1/2, 1
Find f such that 2*f**3 + 2*f**2 - 24*f = 0.
-4, 0, 3
Factor 2*z**3/3 + 38*z**2/3 + 128*z/3 + 40.
2*(z + 2)**2*(z + 15)/3
Factor -45*o**4 + 5475*o**3 + 7360*o**2 + 2460*o.
-5*o*(o - 123)*(3*o + 2)**2
Let -20*w**2 - 208*w + 132 = 0. Calculate w.
-11, 3/5
Find d such that -d**4/3 + 2*d**3 + 16*d**2/3 = 0.
-2, 0, 8
What is r in -3*r**3 - 336*r**2 - 9408*r = 0?
-56, 0
Solve -3*z**2 - 1800*z + 3612 = 0 for z.
-602, 2
Factor -2*r**4/5 - 10908*r**3/5 - 14873058*r**2/5.
-2*r**2*(r + 2727)**2/5
Factor 2*l**2 + 1164*l - 1166.
2*(l - 1)*(l + 583)
Factor -2*u**5/5 - 2*u**4/5 + 2*u**3 + 2*u**2/5 - 16*u/5 + 8/5.
-2*(u - 1)**3*(u + 2)**2/5
Determine q, given that 3*q**3/4 + 15*q**2/2 + 24*q + 24 = 0.
-4, -2
Factor g**2/5 - 24*g/5 - 52/5.
(g - 26)*(g + 2)/5
Factor -2*x**3 - 10*x**2 - 8*x.
-2*x*(x + 1)*(x + 4)
Factor -3*m**3 - 7587*m**2 - 6395841*m - 1797231321.
-3*(m + 843)**3
Find c, given that -3*c**4/7 = 0.
0
Suppose 10*m**4 + 80*m**3 + 345*m**2/2 + 235*m/2 + 25 = 0. Calculate m.
-5, -2, -1/2
Suppose 3*h**4 + 279*h**3 + 1083*h**2 + 1341*h + 534 = 0. What is h?
-89, -2, -1
Factor -p**3/2 - 9*p**2/2 - 12*p - 8.
-(p + 1)*(p + 4)**2/2
Solve -2*y**5 + 14*y**4 + 34*y**3 + 18*y**2 = 0.
-1, 0, 9
Find q such that -3*q**2/2 + 15*q - 75/2 = 0.
5
Factor 7*o**4 - 389*o**3 + 220*o**2.
o**2*(o - 55)*(7*o - 4)
Factor 4*v**4/5 + 8*v**3/5 - 12*v**2 - 128*v/5 - 64/5.
4*(v - 4)*(v + 1)**2*(v + 4)/5
Factor -m**5 - 13*m**4 - 57*m**3 - 95*m**2 - 50*m.
-m*(m + 1)*(m + 2)*(m + 5)**2
Suppose -4*x**5/3 + 47*x**4/3 - 64*x**3 + 301*x**2/3 - 104*x/3 - 16 = 0. What is x?
-1/4, 1, 3, 4
Factor -2*h**3/19 - 6*h**2/19 + 8*h/19 + 24/19.
-2*(h - 2)*(h + 2)*(h + 3)/19
Suppose -l**5/3 + 10*l**4/3 - 23*l**3/3 - 10*l**2/3 + 8*l = 0. What is l?
-1, 0, 1, 4, 6
Factor 2*k**2/11 - 12332*k/11 + 19009778/11.
2*(k - 3083)**2/11
Find k, given that -6*k**4/17 + 154*k**3/17 - 98*k**2/17 - 50*k/17 = 0.
-1/3, 0, 1, 25
Factor -y**2/2 + 757*y/2 - 755.
-(y - 755)*(y - 2)/2
Suppose 4*u**3 - 260*u**2 - 1668*u - 2556 = 0. What is u?
-3, 71
Let 3*x**3 - 1278*x**2 + 139860*x - 793800 = 0. Calculate x.
6, 210
Suppose -5*i**3 - 34385*i**2 = 0. What is i?
-6877, 0
Factor -2*z**2/3 - 34*z/3 + 40.
-2*(z - 3)*(z + 20)/3
Factor -2*a**2/19 + 24*a.
-2*a*(a - 228)/19
Factor x**4/4 + 2*x**3 + 15*x**2/4.
x**2*(x + 3)*(x + 5)/4
What is v in -243*v**4/7 - 1188*v**3/7 + 2868*v**2/7 + 10560*v/7 - 19200/7 = 0?
-40/9, 2
Find h, given that -h**4/2 + 29*h**3/2 - 153*h**2/2 - 369*h/2 + 567 = 0.
-3, 2, 9, 21
Factor w**2/10 + 3*w/5 - 7/10.
(w - 1)*(w + 7)/10
Factor -104*g**2/3 + 314*g/9 - 2/9.
-2*(g - 1)*(156*g - 1)/9
Factor u**4/2 - 24*u**3.
u**3*(u - 48)/2
Solve 2*c**2/7 - 72*c/7 = 0.
0, 36
Factor t**4/4 - t**3/2 - 5*t**2/4 + 3*t/2.
t*(t - 3)*(t - 1)*(t + 2)/4
Suppose -i**3/3 - 996*i**2 - 992016*i - 329349312 = 0. Calculate i.
-996
Solve -g**5/2 - 28*g**4 + 223*g**3 + 120*g**2 - 4725*g/2 = 0 for g.
-63, -3, 0, 5
Factor -5*p**3 + 135*p**2 + 290*p.
-5*p*(p - 29)*(p + 2)
Determine x so that x**3/6 + 3*x**2/2 + 10*x/3 + 2 = 0.
-6, -2, -1
Find g, given that 9*g**5 + 56*g**4 + 120*g**3 + 114*g**2 + 47*g + 6 = 0.
-3, -1, -2/9
Find z, given that -2*z**3/15 + 54*z**2/5 + 524*z/15 - 112 = 0.
-5, 2, 84
Determine k so that 3*k**3/5 + 24*k**2 - 381*k/5 + 258/5 = 0.
-43, 1, 2
Determine r, given that 2*r**2 - 26*r + 24 = 0.
1, 12
Suppose -27*n**3/5 + 114*n**2/5 + 417*n/5 - 504/5 = 0. Calculate n.
-3, 1, 56/9
Find p such that -p**2/8 - p/8 + 1/4 = 0.
-2, 1
Factor -5*i**4 - 130*i**3 - 365*i**2 + 9300*i + 36000.
-5*(i - 8)*(i + 4)*(i + 15)**2
Let 4*i**3/5 + 20*i**2 + 528*i/5 + 432/5 = 0. Calculate i.
-18, -6, -1
Suppose 4*q**3 - 1487*q**2 + 2588*q + 740 = 0. What is q?
-1/4, 2, 370
Factor 2*u**3/3 + 196*u**2/3 - 1664*u/3 + 3392/3.
2*(u - 4)**2*(u + 106)/3
Factor x**2 + 48*x - 49.
(x - 1)*(x + 49)
Determine a, given that 6*a**5 + 134*a**4/3 + 98*a**3 + 86*a**2 + 80*a/3 = 0.
-40/9, -1, 0
What is s in 4*s**3 - 124*s**2/7 - 288*s/7 + 144/7 = 0?
-2, 3/7, 6
Factor q**5/3 - 50*q**4/3 - 212*q**3/3 - 72*q**2.
q**2*(q - 54)*(q + 2)**2/3
Determine l so that -3*l**2 - 927*l - 924 = 0.
-308, -1
Factor -80*b**3 - 5400*b**2 + 2715*b - 340.
-5*(b + 68)*(4*b - 1)**2
Factor 3*w**2/2 - 135*w/2 + 246.
3*(w - 41)*(w - 4)/2
Factor 2*h**3/5 - 3*h**2/5 - 8*h/5 - 3/5.
(h - 3)*(h + 1)*(2*h + 1)/5
Factor 5*u**4/3 - 120*u**3 - 365*u**2/3.
5*u**2*(u - 73)*(u + 1)/3
Solve 5*h**3 + 5385*h**2 - 21600*h + 21620 = 0.
-1081, 2
Determine q so that 5*q**2 + 80*q - 400 = 0.
-20, 4
Suppose -b**2 + 233*b + 234 = 0. What is b?
-1, 234
Let 5*d**4 + 55*d**3 - 65*d**2 - 55*d + 60 = 0. Calculate d.
-12, -1, 1
Determine p so that 16*p**2 - 964*p - 980 = 0.
-1, 245/4
Factor -3*i**3 - 72*i**2 + 156*i.
-3*i*(i - 2)*(i + 26)
Determine u, given that -u**4 - 142*u**3 - 5181*u**2 - 9940*u - 4900 = 0.
-70, -1
Solve -5*f**5/4 + 5*f**4/4 + 15*f**3/4 - 5*f**2/4 - 5*f/2 = 0 for f.
-1, 0, 1, 2
Factor -4*s**3 - 152*s**2 + 164*s + 312.
-4*(s - 2)*(s + 1)*(s + 39)
Suppose -55*f**5/7 - 87*f**4/7 + 184*f**3/7 + 344*f**2/7 + 144*f/7 + 16/7 = 0. Calculate f.
-2, -1, -2/5, -2/11, 2
Factor -2*s**4 - 4*s**3 + 16*s**2 + 36*s + 18.
-2*(s - 3)*(s + 1)**2*(s + 3)
Suppose 5*r**4/7 + 11*r**3/7 - 15*r**2/7 - 43*r/7 - 22/7 = 0. Calculate r.
-11/5, -1, 2
Let 5*b**5 + 60*b**4 + 5*b**3 - 510*b**2 + 440*b = 0. Calculate b.
-11, -4, 0, 1, 2
What is z in 2*z**2/13 + 992*z/13 - 994/13 = 0?
-497, 1
Let -g**4 - 9*g**3 - 15*g**2 + 25*g = 0. Calculate g.
-5, 0, 1
Find o, given that -2*o**2 + 1060*o - 140450 = 0.
265
Factor 3*k**2 + 132*k - 135.
3*(k - 1)*(k + 45)
Let w**3 + 11*w**2 + 39*w + 45 = 0. Calculate w.
-5, -3
Factor -2*f**2 + 188*f - 4418.
-2*(f - 47)**2
Determine v, given that -v**3/3 - 4*v**2 - 12*v = 0.
-6, 0
Let 2*w**4 + 26*w**3 + 82*w**2 + 94*w + 36 = 0. Calculate w.
-9, -2, -1
What is d in -d**2 + 6*d = 0?
0, 6
Solve 3*c**3 + 138*c**2 + 1332*c + 3672 = 0.
-34, -6
Let -5*n**3 + 50*n**2 + 355*n + 300 = 0. Calculate n.
-4, -1, 15
Factor 14*r**3 + 200*r**2 + 158*r - 372.
2*(r - 1)*(r + 2)*(7*r + 93)
Let -4*u**2/5 - 48*u/5 + 52/5 = 0. What is u?
-13, 1
Suppose -9*x**3/8 - 609*x**2/8 - 201*x/4 = 0. What is x?
-67, -2/3, 0
Let -5*z**5 + 70*z**4 + 80*z**3 - 70*z**2 - 75*z = 0. What is z?
-1, 0, 1, 15
Find h, given that -8*h**4 + 10*h**3 - 2*h**2 = 0.
0, 1/4, 1
Factor 2*k**3/7 + 68*k**2/7 - 494*k/7 - 80.
2*(k - 7)*(k + 1)*(k + 40)/7
Let 3*l**5 - 243*l**4 + 915*l**3 + 723*l**2 - 2286*l - 1848 = 0. Cal