**2/11 + 12*c/11 - 18/11.
-2*(c - 3)**2/11
Factor 4*a**4 + 28*a**3 - 4*a**2 - 28*a.
4*a*(a - 1)*(a + 1)*(a + 7)
Let -4*m**5 + 212*m**4 + 440*m**3 + 8*m**2 - 436*m - 220 = 0. Calculate m.
-1, 1, 55
Factor -3*u**2/2 - 159*u/2 - 945.
-3*(u + 18)*(u + 35)/2
Factor 2*g**2 + 330*g + 652.
2*(g + 2)*(g + 163)
Factor -3*t**3 - 39*t**2 - 96*t - 60.
-3*(t + 1)*(t + 2)*(t + 10)
Factor -f**3 - 16*f**2 - 71*f - 56.
-(f + 1)*(f + 7)*(f + 8)
Determine i so that -4*i**2/5 - 304*i/5 - 5776/5 = 0.
-38
Factor -5*h**4 - 235*h**3 - 2630*h**2 + 3360*h + 5760.
-5*(h - 2)*(h + 1)*(h + 24)**2
Suppose 2*m**4/9 - 116*m**3/3 - 78*m**2 - 352*m/9 = 0. Calculate m.
-1, 0, 176
Solve 27*l**2 + 237*l - 54 = 0 for l.
-9, 2/9
Factor -3*f**2/5 + 54*f/5 - 51/5.
-3*(f - 17)*(f - 1)/5
Factor -n**4 + 4*n**3 + 12*n**2.
-n**2*(n - 6)*(n + 2)
Factor z**3/4 + 21*z**2/2 - z - 42.
(z - 2)*(z + 2)*(z + 42)/4
Factor d**4/4 - 5*d**3/2 - 11*d**2 + 213*d/2 - 693/4.
(d - 11)*(d - 3)**2*(d + 7)/4
Factor -3*w**3 + 24*w**2 + 132*w + 144.
-3*(w - 12)*(w + 2)**2
Suppose 5*c**4 - 145*c**3 - 15*c**2 + 445*c - 290 = 0. What is c?
-2, 1, 29
Let 2530944*n**4 - 2579616*n**3 + 48984*n**2 - 938*n/3 + 2/3 = 0. Calculate n.
1/156, 1
Factor -4*q**5 - 8*q**4 + 8*q**2 + 4*q.
-4*q*(q - 1)*(q + 1)**3
Factor y**2 - 18*y - 40.
(y - 20)*(y + 2)
Find t such that -t**5 + 69*t**4 + 288*t**3 + 292*t**2 = 0.
-2, 0, 73
Find l such that l**2 - 20*l + 19 = 0.
1, 19
Factor -z**3/6 - 25*z**2/3 - 97*z/6 - 8.
-(z + 1)**2*(z + 48)/6
Factor -2*g**3/9 + 80*g**2 - 9600*g + 384000.
-2*(g - 120)**3/9
Factor -20*b**3 + 192*b**2 + 300*b + 88.
-4*(b - 11)*(b + 1)*(5*b + 2)
Factor -6*d**2/5 + 1382*d/5 + 924/5.
-2*(d - 231)*(3*d + 2)/5
Factor -2*j**2/11 - 38*j/11 + 84/11.
-2*(j - 2)*(j + 21)/11
Suppose -v**2/3 - 1738*v/3 - 755161/3 = 0. Calculate v.
-869
Factor 15*t**3/2 - 157*t**2/4 + 17*t/2 + 5/4.
(t - 5)*(3*t - 1)*(10*t + 1)/4
Suppose -4*g**5 + 8*g**4 + 12*g**3 - 16*g**2 - 16*g = 0. What is g?
-1, 0, 2
Let -4*a**2 - 228*a - 224 = 0. Calculate a.
-56, -1
What is f in 24*f**5 - 98*f**4 + 102*f**3 - 8*f = 0?
-1/4, 0, 1/3, 2
Factor -l**2 - 2*l + 8.
-(l - 2)*(l + 4)
Factor 3*q**4/5 - 42*q**3/5 + 39*q**2/5 + 756*q/5 + 972/5.
3*(q - 9)**2*(q + 2)**2/5
Suppose -2*u**5/3 + 50*u**3 - 500*u**2/3 = 0. What is u?
-10, 0, 5
Factor 3*a**3/7 - 39*a**2/7 + 66*a/7.
3*a*(a - 11)*(a - 2)/7
Factor v**2/6 + 43*v + 256/3.
(v + 2)*(v + 256)/6
Let -44*c**5/7 + 124*c**4/7 + 68*c**3/7 - 124*c**2/7 - 24*c/7 = 0. Calculate c.
-1, -2/11, 0, 1, 3
Suppose v**3 + 17*v**2 + 16*v = 0. Calculate v.
-16, -1, 0
Let 2*v**2/7 + 20784*v/7 + 53996832/7 = 0. What is v?
-5196
Suppose 3*q**4 + 42*q**3 - 363*q**2 - 42*q + 360 = 0. Calculate q.
-20, -1, 1, 6
Suppose -r**4 + 4*r**3 + 3*r**2 - 14*r + 8 = 0. What is r?
-2, 1, 4
Factor t**2/6 + 89*t/6 - 235/3.
(t - 5)*(t + 94)/6
Solve -2*x**5/3 - 40*x**4/3 - 32*x**3/3 + 116*x**2/3 + 34*x/3 - 76/3 = 0 for x.
-19, -2, -1, 1
Determine l, given that -2*l**2/3 + 82*l/3 + 28 = 0.
-1, 42
Let 21*n**5 + 258*n**4 + 1122*n**3 + 2064*n**2 + 1449*n + 270 = 0. What is n?
-5, -3, -1, -2/7
Let 38*c**2/9 - 22*c/3 - 60 = 0. What is c?
-3, 90/19
Factor 80*s**3 - 6360*s**2 + 3165*s - 395.
5*(s - 79)*(4*s - 1)**2
Factor -3*k**3/5 - 36*k**2/5 - 21*k.
-3*k*(k + 5)*(k + 7)/5
Factor s**5 + s**4 - 6*s**3 - 4*s**2 + 8*s.
s*(s - 2)*(s - 1)*(s + 2)**2
Find n such that 4*n**3/7 + 5*n**2/7 - 166*n/7 - 65 = 0.
-5, -13/4, 7
Factor 4*d**2/9 + 3856*d/3 + 929296.
4*(d + 1446)**2/9
Factor q**4/3 + 700*q**3/3 - 702*q**2 + 2108*q/3 - 703/3.
(q - 1)**3*(q + 703)/3
Factor 3*j**3 - 132*j**2 - 417*j - 282.
3*(j - 47)*(j + 1)*(j + 2)
Find x, given that -x**4/2 - 332*x**3 - 73593*x**2 - 5470192*x - 10793861/2 = 0.
-221, -1
Factor v**3 - 258*v**2 - 519*v - 260.
(v - 260)*(v + 1)**2
What is b in 3*b**3/4 + 24*b**2 + 855*b/4 + 675/2 = 0?
-15, -2
Let -z**4/2 - 16*z**3 + 147*z**2/2 + 45*z - 324 = 0. What is z?
-36, -2, 3
What is s in 3*s**2/5 - 1311*s/5 = 0?
0, 437
Determine p so that p**5 - 56*p**4 + 156*p**3 + 170*p**2 - 589*p + 318 = 0.
-2, 1, 3, 53
Factor 5*l**4 + 10*l**3 - 10*l - 5.
5*(l - 1)*(l + 1)**3
Factor -2*x**4/11 + 120*x**3/11 - 936*x**2/11 - 25920*x/11 - 93312/11.
-2*(x - 36)**2*(x + 6)**2/11
Factor -2*f**3 - 6*f**2 + 122*f + 126.
-2*(f - 7)*(f + 1)*(f + 9)
Factor 285156*v**2 + 4272*v + 16.
4*(267*v + 2)**2
Determine w so that -w**2/5 - 157*w/5 - 156/5 = 0.
-156, -1
Determine n so that -2*n**3/5 - 1524*n**2/5 - 3042*n/5 - 304 = 0.
-760, -1
Factor 2*d**2 + 42*d + 180.
2*(d + 6)*(d + 15)
Solve -12*t**5 - 64*t**4 - 108*t**3 - 40*t**2 + 48*t + 32 = 0.
-2, -1, 2/3
Determine j, given that -j**2 + 15*j - 14 = 0.
1, 14
Factor -o**4 - 176*o**3 - 174*o**2 + 176*o + 175.
-(o - 1)*(o + 1)**2*(o + 175)
Find r such that 4*r**5/7 - 162*r**4/7 + 1130*r**3/7 - 1214*r**2/7 - 4110*r/7 - 1600/7 = 0.
-1, -1/2, 5, 32
Find x, given that 2*x**2 - 1478*x - 1480 = 0.
-1, 740
Factor 4*j**2 - 400*j + 10000.
4*(j - 50)**2
Let -3*z**2/5 - 27*z + 282/5 = 0. Calculate z.
-47, 2
Factor r**3/6 - 16*r**2/3 - 67*r/6 - 17/3.
(r - 34)*(r + 1)**2/6
Factor 156*i**3 - 796*i**2 + 80*i.
4*i*(i - 5)*(39*i - 4)
Factor 4*j**4 - 12*j**3 - 20*j**2 + 12*j + 16.
4*(j - 4)*(j - 1)*(j + 1)**2
Let m**5/2 + 2*m**4 - 9*m**3/2 - 32*m**2 - 50*m - 24 = 0. What is m?
-3, -2, -1, 4
What is h in -5*h**5/2 - 20*h**4 + 45*h**3/2 = 0?
-9, 0, 1
What is o in -2*o**3/7 - 20*o**2/7 - 46*o/7 - 4 = 0?
-7, -2, -1
Factor -4*g**3/7 + 40*g**2/7 - 64*g/7.
-4*g*(g - 8)*(g - 2)/7
Let -4*v**2 + 64*v + 68 = 0. What is v?
-1, 17
Find b, given that -50*b**5/7 + 510*b**4/7 - 1518*b**3/7 + 778*b**2/7 + 1488*b/7 + 360/7 = 0.
-2/5, 3, 5
Suppose -2*g**3/7 - 214*g**2/7 + 1808*g/7 - 3680/7 = 0. Calculate g.
-115, 4
Determine y so that -6*y**3/5 + 102*y**2/5 - 96*y + 384/5 = 0.
1, 8
Let i**3/3 + 31*i**2 + 861*i + 18491/3 = 0. What is i?
-41, -11
Factor -a**4/2 + 7*a**3/2 + a**2/2 - 7*a/2.
-a*(a - 7)*(a - 1)*(a + 1)/2
Let -2*v**5/9 + 2*v**4/3 + 82*v**3/9 - 38*v**2 + 424*v/9 - 56/3 = 0. Calculate v.
-7, 1, 2, 6
Factor d**3 - 826*d**2 + 170569*d.
d*(d - 413)**2
What is n in -139*n**4 + 281*n**3 - 6*n**2 = 0?
0, 3/139, 2
Suppose -3*n**5/7 + 6*n**4/7 + 36*n**3/7 - 120*n**2/7 + 96*n/7 = 0. Calculate n.
-4, 0, 2
Factor -18*i**3 - 22*i**2 + 32*i + 8.
-2*(i - 1)*(i + 2)*(9*i + 2)
Determine k so that -55*k**2 + 22485*k + 4090 = 0.
-2/11, 409
Factor 27*m**2/7 + 218*m/7 + 16/7.
(m + 8)*(27*m + 2)/7
Suppose 24*t**2 - 100*t - 100 = 0. Calculate t.
-5/6, 5
Determine r so that -2*r**4/9 - 16*r**3/9 + 46*r**2/9 + 20*r/3 = 0.
-10, -1, 0, 3
Let 15*x**5/2 - 42*x**4 + 12*x**3 + 57*x**2 - 39*x/2 - 15 = 0. Calculate x.
-1, -2/5, 1, 5
Find n such that -2*n**4/15 - 74*n**3/15 - 208*n**2/15 - 136*n/15 = 0.
-34, -2, -1, 0
Factor 4*s**3 - 12*s**2 - 24*s + 32.
4*(s - 4)*(s - 1)*(s + 2)
Find n, given that 5*n**2 + 10*n - 15 = 0.
-3, 1
Find g such that 12*g**5 - 141*g**4 - 384*g**3 + 57*g**2 + 372*g + 84 = 0.
-2, -1, -1/4, 1, 14
Factor 3*g**2 + 282*g + 1335.
3*(g + 5)*(g + 89)
Find h such that 12*h**3/7 - 165*h**2/7 - 222*h/7 - 45/7 = 0.
-1, -1/4, 15
Factor 9*l**2/7 + 102*l/7 - 240/7.
3*(l - 2)*(3*l + 40)/7
Factor -3*z**2/4 + 59*z/2 - 39/4.
-(z - 39)*(3*z - 1)/4
Find j, given that j**4/2 - 722*j**3 + 390963*j**2 - 94091762*j + 16983563041/2 = 0.
361
Solve -805*c**3 - 2400*c**2 + 3265*c - 60 = 0 for c.
-4, 3/161, 1
Factor -108*g**3 + 828*g**2 + 285*g + 24.
-3*(g - 8)*(6*g + 1)**2
Factor 2*f**3/3 + 124*f**2/3 + 242*f/3 + 40.
2*(f + 1)**2*(f + 60)/3
Factor 5*p**5 + 20*p**4 + 25*p**3 + 10*p**2.
5*p**2*(p + 1)**2*(p + 2)
Factor 1323*d**3/5 + 3843*d**2/5 - 123*d/5 - 5043/5.
3*(d - 1)*(21*d + 41)**2/5
Factor -4*u**2 + 4*u + 360.
-4*(u - 10)*(u + 9)
Solve 4*k**2 + 952*k + 948 = 0.
-237, -1
Suppose -2*v**4/9 - 26*v**3/9 + 578*v**2/9 - 550*v/9 = 0. What is v?
-25, 0, 1, 11
Let -b**3 + 5*b**2 - 8*b + 4 = 0. Calculate b.
1, 2
Suppose -4*f**5/3 + 104*f**4 + 320*f**3 + 968*f**2/3 + 108*f = 0. Calculate f.
-1, 0, 81
Factor -h**2 + 8390*h - 17598025.
-(h - 4195)**2
Suppose -3*h**5 - 92*h**4 - 771*h**3 - 1098*h**2 - 416*h = 0. What is h?
-16, -13, -1, -2/3, 0
Factor -4*s**2 - 2472*s - 381924.
-4*(s + 309)**2
Find c such that c**3 - 88*c**2 + 1936*c = 0.
0, 44
Factor 2*m**4 + 252*m**3 + 248*m**2 - 252*m - 250.
2*(m - 1)*(m + 1)**2*(m + 125)
Factor a**4 - 13*a**3 + 23*a**2 - 11*a.
a*(a - 11)*(a - 1)**2
De