**2 - 48*o.
-3*o*(o - 2)**2*(o + 4)
Factor 242*k**3 + 1232*k**2 + 2074*k + 1156.
2*(k + 2)*(11*k + 17)**2
Factor 18*l**3/13 + 1374*l**2/13 - 922*l/13 + 154/13.
2*(l + 77)*(3*l - 1)**2/13
Factor -2*p**3/3 + 56*p**2/3 + 248*p/3 + 256/3.
-2*(p - 32)*(p + 2)**2/3
Factor -9*i**2 - 4695*i - 3126.
-3*(i + 521)*(3*i + 2)
Factor p**2 - 34*p + 33.
(p - 33)*(p - 1)
Find y, given that -y**4/4 + 13*y**3/4 - 12*y**2 + 9*y = 0.
0, 1, 6
Factor -p**3/3 + 9*p**2 - 80*p + 700/3.
-(p - 10)**2*(p - 7)/3
Suppose -i**3/7 - i**2 + 34*i/7 + 40/7 = 0. What is i?
-10, -1, 4
Let 3*o**5/8 - 3*o**4/4 - 63*o**3/8 - 27*o**2/4 = 0. Calculate o.
-3, -1, 0, 6
Factor z**2/12 + 22*z/3 + 65.
(z + 10)*(z + 78)/12
Find j, given that 4*j**5 + 3*j**4 - 13*j**3 - j**2 + 9*j - 2 = 0.
-2, -1, 1/4, 1
Factor 2*h**2/7 - 550*h/7.
2*h*(h - 275)/7
Solve -18*i**5 - 444*i**4 - 1784*i**3 - 2124*i**2 - 886*i - 120 = 0 for i.
-20, -3, -1, -1/3
Suppose -138*g**3 - 136*g**2 + 278*g - 4 = 0. Calculate g.
-2, 1/69, 1
Factor 4*p**4 + 44*p**3 + 60*p**2 - 108*p.
4*p*(p - 1)*(p + 3)*(p + 9)
Determine b so that 4*b**2 + 124*b = 0.
-31, 0
Determine s, given that 121*s**3 + 330*s**2 + 192*s + 32 = 0.
-2, -4/11
Determine l so that l**3/5 - 16*l**2/5 = 0.
0, 16
Factor -r**3/4 - 2*r**2 + 1471*r/4 - 731/2.
-(r - 34)*(r - 1)*(r + 43)/4
Let -5*z**2 - 770*z + 775 = 0. What is z?
-155, 1
Find m such that 3*m**4/5 - 9*m**2/5 + 6*m/5 = 0.
-2, 0, 1
What is l in l**5/10 - 21*l**4/10 + 153*l**3/10 - 427*l**2/10 + 147*l/5 = 0?
0, 1, 6, 7
Determine n, given that 10*n**2 - 1744*n + 696 = 0.
2/5, 174
Factor -9*v**3 - 3981*v**2 - 436896*v + 739260.
-3*(v + 222)**2*(3*v - 5)
Factor -5*i**4 + 110*i**3 - 585*i**2 - 540*i + 7020.
-5*(i - 13)*(i - 6)**2*(i + 3)
Solve 2*j**3/3 + 8*j**2 - 38*j/3 - 52 = 0 for j.
-13, -2, 3
Factor -m**3/10 - 13*m**2/10 - 6*m/5.
-m*(m + 1)*(m + 12)/10
Suppose -24*i**4/7 + 482*i**3/7 + 466*i**2/7 - 82*i/7 - 6 = 0. Calculate i.
-1, -1/4, 1/3, 21
Factor -3*p**4/2 + 81*p**3 - 2187*p**2/2.
-3*p**2*(p - 27)**2/2
Factor 2*u**4 + 2*u**3 - 6*u**2 - 10*u - 4.
2*(u - 2)*(u + 1)**3
Solve -2*n**4/11 + 78*n**3/11 - 216*n**2/11 = 0.
0, 3, 36
What is d in -10*d**5 + 15*d**4 + 245*d**3 - 180*d**2 - 1360*d - 960 = 0?
-4, -3/2, -1, 4
Factor 63*x**3 - 321*x**2 + 282*x - 24.
3*(x - 4)*(x - 1)*(21*x - 2)
Factor h**3/4 + 143*h**2/2.
h**2*(h + 286)/4
Solve 2*d**4/11 - 10*d**3/11 - 12*d**2/11 = 0 for d.
-1, 0, 6
What is v in 2*v**2/5 - 2184*v/5 - 2186/5 = 0?
-1, 1093
Let -p**2/3 - 44*p/3 - 484/3 = 0. Calculate p.
-22
Let -4*s**5 + 8*s**4 + 164*s**3 - 40*s**2 - 1024*s + 896 = 0. Calculate s.
-4, 1, 2, 7
Let 5*l**3 + 370*l**2 - 2355*l + 3600 = 0. What is l?
-80, 3
Factor j**4 - 31*j**3 + 108*j**2.
j**2*(j - 27)*(j - 4)
Solve v**4 - 16*v**3 + 23*v**2 + 340*v + 300 = 0 for v.
-3, -1, 10
Determine c so that 3*c**5 + 111*c**4 - 234*c**3 + 6*c**2 + 231*c - 117 = 0.
-39, -1, 1
Factor -2*i**2/3 + 8*i/3 + 30.
-2*(i - 9)*(i + 5)/3
Solve t**4 - 28*t**3 + 288*t**2 - 1280*t + 2048 = 0.
4, 8
Determine h, given that -h**4/7 - 9*h**3/7 - h**2 + 9*h/7 + 8/7 = 0.
-8, -1, 1
What is o in -2*o**3/11 - 18*o**2/11 - 48*o/11 - 32/11 = 0?
-4, -1
Factor -c**4 - 704*c**3 - 125304*c**2 - 492800*c - 490000.
-(c + 2)**2*(c + 350)**2
Determine v so that -5*v**5 - 5*v**4 + 255*v**3 - 835*v**2 + 950*v - 360 = 0.
-9, 1, 2, 4
Determine z so that -2*z**2/5 - 88*z/5 - 168/5 = 0.
-42, -2
Factor -18*f**2/7 - 786*f/7 - 516/7.
-6*(f + 43)*(3*f + 2)/7
Factor -2*u**2/11 - 1592*u/11 - 3176/11.
-2*(u + 2)*(u + 794)/11
Solve 5*w**2 - 165*w + 1080 = 0 for w.
9, 24
Factor -h**5/2 - 2*h**4 - 3*h**3 - 2*h**2 - h/2.
-h*(h + 1)**4/2
Factor 49*j**4 + 28*j**3 - 45*j**2 - 28*j - 4.
(j - 1)*(j + 1)*(7*j + 2)**2
Factor l**3/5 - 46*l**2/5 - l/5 + 46/5.
(l - 46)*(l - 1)*(l + 1)/5
Find f such that -f**5/3 + 16*f**4/3 + 13*f**3 - 46*f**2/3 - 140*f/3 - 24 = 0.
-2, -1, 2, 18
Let -2*i**5/21 - 22*i**4/21 - 74*i**3/21 - 30*i**2/7 - 12*i/7 = 0. Calculate i.
-6, -3, -1, 0
Determine n, given that 4*n**4/5 - 428*n**3/5 - 632*n**2 - 3712*n/5 + 7296/5 = 0.
-4, 1, 114
Determine h so that -2*h**4/5 - 18*h**3/5 - 16*h**2/5 = 0.
-8, -1, 0
Factor 2*u**5 + 32*u**4 - 148*u**3 + 232*u**2 - 158*u + 40.
2*(u - 1)**4*(u + 20)
Factor 2*h**2/15 + 134*h/3 + 664/5.
2*(h + 3)*(h + 332)/15
Suppose -2*i**4 + 4*i**2 - 2 = 0. Calculate i.
-1, 1
Factor 2*c**2/7 + 72*c/7 + 58.
2*(c + 7)*(c + 29)/7
Find l, given that 3*l**4/4 + 51*l**3/4 + 135*l**2/4 + 129*l/4 + 21/2 = 0.
-14, -1
Determine v, given that v**3 - 1169*v**2 + 342224*v - 341056 = 0.
1, 584
What is k in -2*k**5/13 - 2*k**4 - 94*k**3/13 - 46*k**2/13 + 96*k/13 + 72/13 = 0?
-6, -1, 1
Determine w so that -w**2 + 7*w - 6 = 0.
1, 6
Let -2*a**5/11 - 38*a**4/11 - 224*a**3/11 - 592*a**2/11 - 736*a/11 - 32 = 0. Calculate a.
-11, -2
Solve -5*p**5 - 5055*p**4 - 1275120*p**3 + 1280180*p**2 = 0 for p.
-506, 0, 1
Factor -y**2/4 - 447*y - 199809.
-(y + 894)**2/4
Solve 12*m**5/5 - 9*m**4/5 - 291*m**3/5 - 504*m**2/5 - 108*m/5 = 0.
-3, -2, -1/4, 0, 6
Solve -9*g**4/10 - 15*g**3/2 - 44*g**2/5 - 14*g/5 = 0.
-7, -2/3, 0
Factor -20*q**5 + 52*q**4 + 24*q**3.
-4*q**3*(q - 3)*(5*q + 2)
Find w, given that -8*w**5/7 - 62*w**4/7 + 96*w**3/7 + 44*w**2/7 - 88*w/7 + 18/7 = 0.
-9, -1, 1/4, 1
Factor -2*p**4 + 32*p**3 - 184*p**2 + 448*p - 384.
-2*(p - 6)*(p - 4)**2*(p - 2)
Solve q**3/4 + 107*q**2 + 427*q/4 = 0 for q.
-427, -1, 0
Solve -21*l**4/2 + 687*l**3/2 + 1653*l**2 + 444*l = 0 for l.
-4, -2/7, 0, 37
Factor -v**4 + 22*v**3 - 133*v**2 + 312*v - 252.
-(v - 14)*(v - 3)**2*(v - 2)
Solve -3*g**3 + 102*g**2 + 213*g + 108 = 0.
-1, 36
What is q in -q**4/5 - 67*q**3/5 - 131*q**2/5 - 13*q = 0?
-65, -1, 0
Factor -i**5 + 5*i**4 + 2*i**3 - 10*i**2 - i + 5.
-(i - 5)*(i - 1)**2*(i + 1)**2
Factor -5*d**2/6 + 4855*d/3 - 4714205/6.
-5*(d - 971)**2/6
Factor 29512*s**2 - 14740*s - 8.
4*(2*s - 1)*(3689*s + 2)
Solve 5*i**4/2 + 5*i**3 + 5*i**2/2 = 0 for i.
-1, 0
Determine k, given that k**5 + 296*k**4 + 28804*k**3 + 881200*k**2 - 3880000*k + 4000000 = 0.
-100, 2
Find a such that 36*a**4 - 231*a**3 + 84*a**2 + 36*a = 0.
-1/4, 0, 2/3, 6
Determine r, given that -5*r**2 + 275*r - 3230 = 0.
17, 38
Factor -q**4/5 - 2*q**3/5 + 3*q**2/5 + 4*q/5 - 4/5.
-(q - 1)**2*(q + 2)**2/5
Solve -3*j**3 - 99*j**2 + 3*j + 99 = 0 for j.
-33, -1, 1
Factor 2*c**2/11 - 236*c/11 + 234/11.
2*(c - 117)*(c - 1)/11
Factor -h**2 - 2*h - 1.
-(h + 1)**2
Solve -g**5/4 - 19*g**4/4 - 121*g**3/4 - 265*g**2/4 + 7*g/2 + 98 = 0.
-7, -4, -2, 1
Factor l**3 - 5*l**2 - 14*l.
l*(l - 7)*(l + 2)
Let 3*c**4 + 1866*c**3 - 3*c**2 - 1866*c = 0. Calculate c.
-622, -1, 0, 1
Factor -2*s**3 - 10*s**2 - 14*s - 6.
-2*(s + 1)**2*(s + 3)
Factor -35*z**3 + 115*z**2 - 100*z + 20.
-5*(z - 2)*(z - 1)*(7*z - 2)
Find k, given that -3*k**3/2 - 10199*k**2/2 + 1700*k = 0.
-3400, 0, 1/3
Factor 3*k**4 - 3*k**3 - 30*k**2 + 12*k + 72.
3*(k - 3)*(k - 2)*(k + 2)**2
Factor 2*u**3/5 - 8*u**2/5 - 2*u/5 + 8/5.
2*(u - 4)*(u - 1)*(u + 1)/5
Factor -2*j**2/5 - 148*j - 13690.
-2*(j + 185)**2/5
Solve -4*h**4/5 + 864*h**3/5 - 45784*h**2/5 - 94176*h/5 - 47524/5 = 0 for h.
-1, 109
Find r, given that 4*r**2 - 528*r = 0.
0, 132
Let 15*z**4 + 85*z**3 + 80*z**2 - 100*z - 80 = 0. Calculate z.
-4, -2, -2/3, 1
Find p, given that 2*p**5 - 28*p**4 + 24*p**3 + 28*p**2 - 26*p = 0.
-1, 0, 1, 13
Factor 9*h**2/2 - 129*h/2 + 21.
3*(h - 14)*(3*h - 1)/2
Suppose 2*i**2 + 52*i + 50 = 0. What is i?
-25, -1
Factor -22*z**2/17 + 256*z/17 - 360/17.
-2*(z - 10)*(11*z - 18)/17
Factor 4*x**2/7 - 122*x/7 + 918/7.
2*(x - 17)*(2*x - 27)/7
Suppose l**5 - 6*l**4 + 8*l**3 + 16*l**2 - 48*l + 32 = 0. Calculate l.
-2, 2
What is s in 2*s**3/3 - 2*s**2/3 - 100*s/3 - 32 = 0?
-6, -1, 8
Let 14*p**3 - 74*p**2 + 2*p + 90 = 0. Calculate p.
-1, 9/7, 5
Determine k so that 4*k**3/3 + 16*k**2 - 460*k/3 - 168 = 0.
-18, -1, 7
Factor 5*p**4/6 + 20*p**3/3 + 55*p**2/3 + 20*p + 15/2.
5*(p + 1)**2*(p + 3)**2/6
Suppose -2*b**2 - 96*b - 910 = 0. What is b?
-35, -13
Find n such that 3*n**5 - 17*n**4/2 - 15*n**3/2 + 35*n**2 - 18*n - 4 = 0.
-2, -1/6, 1, 2
Determine u, given that -2*u**3 - 14*u**2 + 2*u + 14 = 0.
-7, -1, 1
Factor 75*v**2 - 3840*v + 49152.
3*(5*v - 128)**2
Find c such that 7*c**5/3 + 86*c**4/3 + 127*c**3 + 746*c**2/3 + 604*c/3 + 40 = 0.
-5, -3, -2, -2/7
Factor -5*p**4 + 25*p**3 - 40*p**2 + 20*p.
-5*p*(p - 2)**2*(p - 1)
Factor -5*c**3 + 45*c