Solve p**3/4 - 89*p**2/2 + 2024*p - 3872 = 0 for p.
2, 88
Suppose -9*g**5/4 + 33*g**4/4 - 15*g**3/4 - 9*g**2/4 = 0. Calculate g.
-1/3, 0, 1, 3
Find g such that 2*g**2 + 598*g - 600 = 0.
-300, 1
Solve -15*z**4 + 20*z**3 + 35*z**2 - 20*z - 20 = 0 for z.
-1, -2/3, 1, 2
Determine b so that -b**4 - 16*b**3 - 37*b**2 + 126*b - 72 = 0.
-12, -6, 1
Factor 4*i**3 + 2028*i**2 + 342732*i + 19307236.
4*(i + 169)**3
Factor -2*t**4 + 54*t**3 + 56*t**2.
-2*t**2*(t - 28)*(t + 1)
Factor j**3 + 902*j**2 - 903*j.
j*(j - 1)*(j + 903)
Factor -3*f**2/8 - 369*f/4 - 183.
-3*(f + 2)*(f + 244)/8
Factor u**5/3 - 257*u**4 + 74496*u**3 - 9658368*u**2 + 481296384*u - 1358954496.
(u - 192)**4*(u - 3)/3
Solve -d**3/2 + 5*d**2 + 12*d = 0 for d.
-2, 0, 12
Let -6*v**5 + 296*v**4/7 + 18*v**3/7 - 216*v**2/7 - 8*v = 0. What is v?
-2/3, -2/7, 0, 1, 7
Factor -3*i**4 - 42*i**3 - 216*i**2 - 486*i - 405.
-3*(i + 3)**3*(i + 5)
Factor 3*k**5 + 9*k**4 - 9*k**3 - 21*k**2 + 18*k.
3*k*(k - 1)**2*(k + 2)*(k + 3)
Factor 2*i**3/9 + 58*i**2/3 + 172*i/9.
2*i*(i + 1)*(i + 86)/9
Factor 2*f**3 + 78*f**2 - 620*f + 1104.
2*(f - 4)*(f - 3)*(f + 46)
Determine g, given that -3*g**5/5 - 27*g**4/5 - 9*g**3 - 21*g**2/5 = 0.
-7, -1, 0
Solve 3*j**3 - 204*j**2 + 591*j - 390 = 0.
1, 2, 65
Factor r**3/4 + 49*r**2/4 + 47*r/2.
r*(r + 2)*(r + 47)/4
Factor 3*t**4/7 - 60*t**3/7 + 33*t**2 + 726*t/7.
3*t*(t - 11)**2*(t + 2)/7
Factor -2*u**2 - 14*u + 156.
-2*(u - 6)*(u + 13)
Factor -u**2/5 - 46*u/5 + 371/5.
-(u - 7)*(u + 53)/5
Solve z**5/6 + 8*z**4/3 + 29*z**3/2 + 92*z**2/3 + 56*z/3 = 0.
-7, -4, -1, 0
Factor q**3/6 + q**2/6 - 17*q/6 + 5/2.
(q - 3)*(q - 1)*(q + 5)/6
Solve 5*f**5 - 135*f**4 + 910*f**3 + 3700*f**2 - 57000*f + 140000 = 0.
-7, 4, 10
Solve 5*s**5 - 95*s**4 + 470*s**3 - 600*s**2 = 0.
0, 2, 5, 12
Factor -v**2/4 - 263*v/2 - 69169/4.
-(v + 263)**2/4
Factor j**2/2 - 663*j/2.
j*(j - 663)/2
Solve -35*k**4 + 50*k**3 = 0 for k.
0, 10/7
Determine b so that 2*b**2/9 - 10*b + 400/9 = 0.
5, 40
Find m such that m**3/7 + 258*m**2/7 + 15840*m/7 - 104544/7 = 0.
-132, 6
Factor p**2/7 + 13*p/7 - 114/7.
(p - 6)*(p + 19)/7
Suppose -28*g**4 + 944*g**3 - 3620*g**2 - 5984*g - 1392 = 0. Calculate g.
-1, -2/7, 6, 29
Factor 5*n**4 - 25*n**3 - 15*n**2 + 85*n - 50.
5*(n - 5)*(n - 1)**2*(n + 2)
Factor 2*z**4/3 - 8*z**3/3 + 2*z**2/3 + 4*z.
2*z*(z - 3)*(z - 2)*(z + 1)/3
Factor -51*h**4 + 36*h**3 + 276*h**2.
-3*h**2*(h + 2)*(17*h - 46)
Suppose -2*x**3/3 + 44*x**2/3 - 38*x/3 - 28 = 0. What is x?
-1, 2, 21
Factor 2*i**3/3 - 454*i**2/3 + 6384*i + 264600.
2*(i - 126)**2*(i + 25)/3
Let 2*w**2/3 + 4*w/3 + 2/3 = 0. Calculate w.
-1
Suppose 19*k**2 + 13*k - 6 = 0. Calculate k.
-1, 6/19
Suppose -20*d**3 - 468*d**2 + 296*d + 192 = 0. Calculate d.
-24, -2/5, 1
What is h in -3*h**4 + 87*h**3 + 630*h**2 = 0?
-6, 0, 35
Solve -2*k**3/3 + 5126*k**2 - 9856016*k + 29552672/3 = 0.
1, 3844
Factor -5*z**2 - 360*z + 1125.
-5*(z - 3)*(z + 75)
Find w such that 5*w**5/3 - 100*w**4/3 + 30*w**3 + 100*w**2/3 - 95*w/3 = 0.
-1, 0, 1, 19
Let -4*p**5 - 72*p**4 - 312*p**3 + 224*p**2 + 1116*p + 648 = 0. Calculate p.
-9, -1, 2
Find h such that 3*h**2 - 423*h - 858 = 0.
-2, 143
Let 3*k**5 - 81*k**4 + 798*k**3 - 3408*k**2 + 5760*k - 3072 = 0. What is k?
1, 2, 8
Factor w**2/4 - 73*w/2 + 145/4.
(w - 145)*(w - 1)/4
Suppose 2*r**2/11 + 920*r/11 = 0. Calculate r.
-460, 0
Determine a, given that 3*a**5 - 18*a**3 - 24*a**2 - 9*a = 0.
-1, 0, 3
Let 2*v**4/13 - 8*v**3/13 + 6*v**2/13 = 0. Calculate v.
0, 1, 3
Determine b, given that -4*b**3/5 + 19704*b**2/5 - 32353968*b/5 + 17708405152/5 = 0.
1642
Determine c so that 3*c**2 - 4533*c - 13626 = 0.
-3, 1514
Determine a so that -a**3 - 1926*a**2 - 1236492*a - 264609288 = 0.
-642
Factor 3*g**2/4 - 6*g - 351.
3*(g - 26)*(g + 18)/4
What is t in -t**4/10 - 24*t**3/5 - 115*t**2/2 + 24*t/5 + 288/5 = 0?
-24, -1, 1
Let 2*x**3/3 + 7*x**2/3 + 7*x/3 + 2/3 = 0. What is x?
-2, -1, -1/2
Factor -2*s**2 + 1838*s/3 - 204.
-2*(s - 306)*(3*s - 1)/3
Find i such that -4*i**3 - 12*i**2 + 324*i - 308 = 0.
-11, 1, 7
Factor 5*a**3 + 110*a**2 + 445*a + 340.
5*(a + 1)*(a + 4)*(a + 17)
Find h, given that -3*h**2/7 + 12969*h/7 + 12972/7 = 0.
-1, 4324
Find r such that 25*r**2 - 8630*r + 1725 = 0.
1/5, 345
Find k such that -16*k**5 - 108*k**4 - 196*k**3 - 72*k**2 + 32*k = 0.
-4, -2, -1, 0, 1/4
Suppose -4*c**5 + 20*c**4 + 604*c**3 - 20*c**2 - 600*c = 0. What is c?
-10, -1, 0, 1, 15
Factor 3*g**3 - 27*g**2.
3*g**2*(g - 9)
Factor -y**2/9 + 74*y/3 - 440/9.
-(y - 220)*(y - 2)/9
Find y, given that y**3/2 + 711*y**2/2 + 63012*y - 63368 = 0.
-356, 1
Factor 4*x**3/5 + 64*x**2/5 - 396*x/5 + 504/5.
4*(x - 3)*(x - 2)*(x + 21)/5
Factor 5*p**2 - 8800*p + 3872000.
5*(p - 880)**2
Factor 2*k**5 + 2*k**4 - 6*k**3 - 2*k**2 + 4*k.
2*k*(k - 1)**2*(k + 1)*(k + 2)
Factor 2*t**5/15 + 182*t**4/5 + 2466*t**3 - 37538*t**2/15.
2*t**2*(t - 1)*(t + 137)**2/15
Solve l**3 + 272*l**2 = 0 for l.
-272, 0
Factor 4*b**4/3 - 8*b**3 - 124*b**2/3 + 208*b + 240.
4*(b - 6)**2*(b + 1)*(b + 5)/3
Factor -a**2/2 - 9*a - 16.
-(a + 2)*(a + 16)/2
Suppose i**3 + 75*i**2 + 1575*i + 6125 = 0. What is i?
-35, -5
Find k such that 12*k**5/5 + 178*k**4/5 + 642*k**3/5 + 608*k**2/5 - 24*k = 0.
-10, -3, -2, 0, 1/6
Factor 2*b**2/3 + 50*b/3 - 232/3.
2*(b - 4)*(b + 29)/3
Solve -5*s**4 + 30*s**3 + 75*s**2 + 40*s = 0 for s.
-1, 0, 8
Let -2*r**5/7 - 72*r**4/7 - 36*r**3 + 152*r**2/7 + 750*r/7 - 576/7 = 0. Calculate r.
-32, -3, 1
Factor -4*p**3/5 - 168*p**2/5 - 124*p - 456/5.
-4*(p + 1)*(p + 3)*(p + 38)/5
Determine o, given that 4*o**3 + 144*o**2 + 1728*o + 6912 = 0.
-12
Factor -4*z**2 - 62*z - 30.
-2*(z + 15)*(2*z + 1)
What is h in -5*h**2/3 - 1365*h - 8170/3 = 0?
-817, -2
Solve 9*i**5/4 - 21*i**4/4 - 57*i**3/4 - 15*i**2/4 + 3*i = 0.
-1, 0, 1/3, 4
Let -2*c**4 + 144*c**2 - 512*c + 480 = 0. What is c?
-10, 2, 6
Solve 2*j**3 - 542*j**2 + 8288*j - 32640 = 0.
8, 255
Factor 2*l**2/17 + 1750*l/17 - 1752/17.
2*(l - 1)*(l + 876)/17
Suppose -6*z**5 + 8*z**4 + 46*z**3 - 88*z**2 + 24*z = 0. What is z?
-3, 0, 1/3, 2
Determine i, given that 4*i**2/5 - 36*i + 656/5 = 0.
4, 41
Solve -4*g**5 - 16*g**4 - 16*g**3 + 8*g**2 + 20*g + 8 = 0.
-2, -1, 1
Solve -2*z**4/5 - 66*z**3/5 + 288*z**2/5 - 296*z/5 = 0.
-37, 0, 2
Factor 3*q**2/8 - 1353*q/4.
3*q*(q - 902)/8
Factor 2*p**5 - 2*p**4 - 10*p**3 - 6*p**2.
2*p**2*(p - 3)*(p + 1)**2
Factor 2*s**2/9 - 10*s/9 - 4/3.
2*(s - 6)*(s + 1)/9
Solve -12*a**2 - 16*a - 5 = 0.
-5/6, -1/2
Solve -4*u**5 - 376*u**4 - 8448*u**3 + 18432*u**2 = 0 for u.
-48, 0, 2
Factor q**4 + 6*q**3 - 20*q**2 - 150*q - 125.
(q - 5)*(q + 1)*(q + 5)**2
What is i in -i**5/3 - i**4/3 + 8*i**3/3 + 8*i**2/3 - 16*i/3 - 16/3 = 0?
-2, -1, 2
Factor y**3 - 14*y**2 + 24*y.
y*(y - 12)*(y - 2)
Factor 3*y**2 - 285*y + 1350.
3*(y - 90)*(y - 5)
Factor -4*w**2 - 59*w/2 - 21/2.
-(w + 7)*(8*w + 3)/2
What is p in -p**4 + 24*p**3 - 94*p**2 - 24*p + 95 = 0?
-1, 1, 5, 19
What is i in 4*i**5 - 30*i**4 + 74*i**3 - 82*i**2 + 42*i - 8 = 0?
1/2, 1, 4
What is j in j**3/6 - 29*j**2/6 = 0?
0, 29
Suppose -605*c**2 - 220*c - 20 = 0. Calculate c.
-2/11
Factor -w**3 + 1933*w**2 - 933155*w - 935089.
-(w - 967)**2*(w + 1)
Let 5*j**4 + 20*j**3 - 105*j**2 + 20*j + 140 = 0. What is j?
-7, -1, 2
Factor -5*z**3 - 195*z**2 - 375*z - 185.
-5*(z + 1)**2*(z + 37)
Suppose -9*n**5 + 24*n**4 + 15*n**3 - 90*n**2 + 84*n - 24 = 0. What is n?
-2, 2/3, 1, 2
Factor 4*k**2 + 936*k.
4*k*(k + 234)
Determine p so that p**2/3 - 22*p/3 + 19 = 0.
3, 19
Factor -2*c**2 + 812*c - 1616.
-2*(c - 404)*(c - 2)
Factor x**2/7 - 122*x/7 - 635/7.
(x - 127)*(x + 5)/7
Suppose -5*c**2/2 - 1460*c - 213160 = 0. What is c?
-292
What is h in 4*h**2 + 312*h - 316 = 0?
-79, 1
Let s**3/6 - 145*s**2/6 + 287*s/6 - 143/6 = 0. What is s?
1, 143
Determine l, given that 5*l**4 - 37*l**3 + 84*l**2 - 68*l + 16 = 0.
2/5, 1, 2, 4
Factor -w**2/3 - 1297*w/3 - 432.
-(w + 1)*(w + 1296)/3
Find d such that -14*d**2/5 + 377*d/5 + 27/5 = 0.
-1/14, 27
Factor 2*g**4 - 228*g**3 + 5184*g**2 - 43740*g + 126846.
2*(g - 87)*(g - 9)**3
Let 3*n**2 + 14772*n + 18184332 = 0. What is n?
-2462
Factor -14*z**4/3 + 88*z**3/3 - 64*z**2 + 160*z/3 - 32/3.
-2*(z - 2)**3*(7*z - 2)/3
Let h**4/10 - 4*h**3/5 + 13*h**2/10 - 3*h/5 = 0. What is h?
0, 1, 6
Let 90*x**4 + 894*x**3 + 748*x**2 - 88*x - 144 = 0. What is x?
-9, -2/3, 2/5
Determine w so that 2*w**3/5 + 6*w**2 + 54