*s**4/2 + 483*s**3/2 + 591*s**2/2 + 117*s = 0. What is s?
-39, -2, -1, 0
Solve -f**3/4 - 979*f**2/4 - 1955*f/4 - 977/4 = 0.
-977, -1
Factor -34*c**3 - 2306*c**2 + 2754*c - 414.
-2*(c - 1)*(c + 69)*(17*c - 3)
Factor p**2/3 + 23*p/3.
p*(p + 23)/3
Find g such that g**5/4 + 19*g**4/4 + 63*g**3/2 + 173*g**2/2 + 385*g/4 + 147/4 = 0.
-7, -3, -1
Factor -5*v**3/3 + 25*v**2/3 + 1960*v/3 - 660.
-5*(v - 22)*(v - 1)*(v + 18)/3
Determine h, given that h**4/4 - 119*h**3/4 + 143*h**2 - 55*h - 228 = 0.
-1, 2, 4, 114
Factor 2*s**2/9 + 6*s - 20.
2*(s - 3)*(s + 30)/9
Factor o**5 - 10*o**4 + 24*o**3 - 22*o**2 + 7*o.
o*(o - 7)*(o - 1)**3
Factor -4*a**3 - 32*a**2 - 20*a + 56.
-4*(a - 1)*(a + 2)*(a + 7)
Find p, given that -p**5/4 - 627*p**4/4 - 1869*p**3/2 - 1865*p**2 - 1242*p = 0.
-621, -2, 0
Let d**2/3 - 2434*d/3 + 1481089/3 = 0. Calculate d.
1217
Suppose 24*y**5 - 118*y**4 + 157*y**3 - 53*y**2 - 13*y + 3 = 0. What is y?
-1/4, 1/6, 1, 3
Factor 4*s**3 + 112*s**2 - 1088*s + 2304.
4*(s - 4)**2*(s + 36)
Factor g**5 + 153*g**4 - 465*g**3 + 467*g**2 - 156*g.
g*(g - 1)**3*(g + 156)
Factor -2*l**2 - 90*l + 500.
-2*(l - 5)*(l + 50)
Find n such that -3*n**2/5 + 9*n - 30 = 0.
5, 10
Factor -5*w**4.
-5*w**4
Let 12*m**5 - 64*m**4 + 28*m**3 + 216*m**2 - 320*m + 128 = 0. Calculate m.
-2, 1, 4/3, 4
Find z such that 2*z**5 - 6*z**4 - 44*z**3 + 24*z**2 + 144*z = 0.
-3, -2, 0, 2, 6
Suppose 2*n**2/19 - 70*n/19 + 348/19 = 0. What is n?
6, 29
Solve 2*v**5/11 + 714*v**4/11 + 2830*v**3/11 + 2110*v**2/11 - 2832*v/11 - 2824/11 = 0.
-353, -2, -1, 1
Factor 18*x**4/5 + 108*x**3/5 + 96*x**2/5 + 92*x/15 + 2/3.
2*(x + 5)*(3*x + 1)**3/15
Solve -2*b**5/3 - 2*b**4 - 5*b**3/6 + 4*b**2/3 + b/2 - 1/3 = 0.
-2, -1, 1/2
What is t in -2*t**5/9 - 14*t**4/9 - 22*t**3/9 + 14*t**2/9 + 8*t/3 = 0?
-4, -3, -1, 0, 1
Factor -25*o**4/3 - 55*o**3/3 - 10*o**2/3.
-5*o**2*(o + 2)*(5*o + 1)/3
Factor c**2/5 + 3*c + 54/5.
(c + 6)*(c + 9)/5
Solve -5*w**2 - 75*w - 130 = 0.
-13, -2
Determine a so that 3*a**2/2 - 21*a - 48 = 0.
-2, 16
Solve -22*a**4/9 - 6*a**3 + 124*a**2/9 - 16*a/3 = 0 for a.
-4, 0, 6/11, 1
Find w such that 5*w**2 - 690*w + 23805 = 0.
69
Solve -4*t**3/3 + t**2 = 0 for t.
0, 3/4
Factor 3*s**3/7 + 96*s**2/7 - 15*s - 198/7.
3*(s - 2)*(s + 1)*(s + 33)/7
Find u such that 3*u**3 - 6*u**2 - 60*u - 72 = 0.
-2, 6
Factor 2*k**5/5 + 2*k**4/5 - 2*k**3/5 - 2*k**2/5.
2*k**2*(k - 1)*(k + 1)**2/5
Factor 4*b**2 - 1252*b.
4*b*(b - 313)
Factor v**5/2 - 4*v**4 + 5*v**3/2 + 19*v**2 + 12*v.
v*(v - 6)*(v - 4)*(v + 1)**2/2
Suppose -g**3/2 - 162*g**2 = 0. What is g?
-324, 0
Let -2*x**2 - 1676*x - 351122 = 0. Calculate x.
-419
Suppose -48*g**4 + 54*g**3 + 3*g**2 - 9*g = 0. What is g?
-3/8, 0, 1/2, 1
Let -14*d**5 + 64*d**4 - 60*d**3 - 40*d**2 + 74*d - 24 = 0. What is d?
-1, 4/7, 1, 3
Factor -c**3/5 - 13*c**2/5 - 6*c.
-c*(c + 3)*(c + 10)/5
Factor -g**3/4 - 2*g**2 + 31*g/4 - 11/2.
-(g - 2)*(g - 1)*(g + 11)/4
Factor 2*v**3 + 4*v**2 - 40*v + 48.
2*(v - 2)**2*(v + 6)
Let -2*a**2/11 - 62*a/11 - 168/11 = 0. Calculate a.
-28, -3
Find s such that -s**5 - 5*s**4 + s**3 + 5*s**2 = 0.
-5, -1, 0, 1
Let 2*x**5 - 2*x**4 - 4*x**3 + 4*x**2 + 2*x - 2 = 0. What is x?
-1, 1
Factor 2*z**4/11 - 96*z**3/11 + 1404*z**2/11 - 6048*z/11 + 7938/11.
2*(z - 21)**2*(z - 3)**2/11
Suppose -98*n**3/3 + 1246*n**2/3 + 362*n/3 + 26/3 = 0. What is n?
-1/7, 13
Factor 3*o**3/5 + 9*o**2/5 - 3*o/5 - 9/5.
3*(o - 1)*(o + 1)*(o + 3)/5
Factor -p**3/8 - 17*p**2/8 - 9*p.
-p*(p + 8)*(p + 9)/8
What is q in q**5/4 + q**4/2 - q**2/2 - q/4 = 0?
-1, 0, 1
Factor -3*z**3/4 - 51*z**2/4 - 21*z/2 + 24.
-3*(z - 1)*(z + 2)*(z + 16)/4
Factor 2*k**2 - 72*k.
2*k*(k - 36)
Factor 12*k**3/5 + 444*k**2/5 + 87*k + 108/5.
3*(k + 36)*(2*k + 1)**2/5
Determine o so that -2*o**2/17 - 26*o/17 - 72/17 = 0.
-9, -4
What is b in -2*b**4 + 2*b**3 + 24*b**2 + 8*b - 32 = 0?
-2, 1, 4
Solve -2*v**3 + 1180*v**2 - 4696*v + 4688 = 0 for v.
2, 586
Factor 5*z**5 + 55*z**4 - 30*z**3 - 370*z**2 - 455*z - 165.
5*(z - 3)*(z + 1)**3*(z + 11)
Let -2*j**3/13 - 12*j**2/13 + 30*j/13 - 16/13 = 0. Calculate j.
-8, 1
Suppose -2*m**4 + 124*m**3 - 472*m**2 + 464*m = 0. What is m?
0, 2, 58
Solve -5*k**4/3 - 349*k**3 - 54493*k**2/3 + 11165*k + 7350 = 0 for k.
-105, -2/5, 1
Find d, given that d**3/3 - 22*d**2/3 - d/3 + 22/3 = 0.
-1, 1, 22
Let 2*q**5 - 152*q**4 + 438*q**3 = 0. Calculate q.
0, 3, 73
Find j, given that 5*j**2/4 - 595*j + 70805 = 0.
238
Factor -2*s**2/3 - 688*s/3 - 59168/3.
-2*(s + 172)**2/3
Factor -45*t**5 + 120*t**4 + 220*t**3 + 80*t**2.
-5*t**2*(t - 4)*(3*t + 2)**2
Factor 79*n**3/2 - 81*n**2/2 + n.
n*(n - 1)*(79*n - 2)/2
Factor n**2/7 - 74*n/7.
n*(n - 74)/7
Solve 2*i**3/5 + 54*i**2/5 + 486*i/5 + 1458/5 = 0.
-9
Factor j**3/5 - 4*j**2/5 + 3*j/5.
j*(j - 3)*(j - 1)/5
What is w in 3*w**3/7 - 174*w**2/7 + 951*w/7 - 780/7 = 0?
1, 5, 52
Factor 2*x**3/7 + 26*x**2/7 - 288/7.
2*(x - 3)*(x + 4)*(x + 12)/7
Factor 2*f**5 - 4*f**4 - 16*f**3.
2*f**3*(f - 4)*(f + 2)
Determine k so that k**3/6 + 43*k**2/6 + 53*k/2 + 39/2 = 0.
-39, -3, -1
Solve 3*h**2 + 51*h = 0.
-17, 0
Determine u so that -5*u**3 - 185*u**2 + 385*u - 195 = 0.
-39, 1
Solve 5*a**3 - 4740*a**2 - 5*a + 4740 = 0 for a.
-1, 1, 948
Factor -4*a**3 + 9068*a**2 + 36320*a + 36336.
-4*(a - 2271)*(a + 2)**2
Suppose z**3/4 + 311*z**2/4 - 473*z/2 - 314 = 0. Calculate z.
-314, -1, 4
Factor 2*g**3/5 - 204*g**2/5 - 2*g/5 + 204/5.
2*(g - 102)*(g - 1)*(g + 1)/5
Suppose -1347*h**2 + 18*h = 0. What is h?
0, 6/449
Factor 2*s**2/3 - 226*s + 676/3.
2*(s - 338)*(s - 1)/3
Factor 2*b**2/13 - 14*b/13 - 36/13.
2*(b - 9)*(b + 2)/13
Factor n**2/2 - 19*n/2 + 17.
(n - 17)*(n - 2)/2
Factor -r**3/4 + 77*r**2 + 309*r/4.
-r*(r - 309)*(r + 1)/4
Find f such that -5*f**2 + 580*f - 16820 = 0.
58
Suppose 2*i**2/7 + 8*i/7 = 0. Calculate i.
-4, 0
What is p in p**2/6 - p/2 - 2/3 = 0?
-1, 4
Suppose 4*t**3/7 + 60*t**2/7 + 248*t/7 + 192/7 = 0. Calculate t.
-8, -6, -1
Find f such that 5*f**4 - 320*f**3 - 995*f**2 - 670*f = 0.
-2, -1, 0, 67
Factor -h**5/4 - 45*h**4/2 - 727*h**3/2 - 1876*h**2 - 2793*h/4 + 24353/2.
-(h - 2)*(h + 7)**3*(h + 71)/4
Suppose 5*c**2 + 1750*c + 153125 = 0. Calculate c.
-175
Suppose -2*j**4/5 + 14*j**3/5 - 12*j**2/5 - 64*j/5 + 64/5 = 0. Calculate j.
-2, 1, 4
Let 3*m**4 - 27*m**3 + 63*m**2 + 3*m - 90 = 0. Calculate m.
-1, 2, 3, 5
Factor n**5 - 13*n**4 + 49*n**3 - 79*n**2 + 58*n - 16.
(n - 8)*(n - 2)*(n - 1)**3
Let 3*f**4/2 + 267*f**3/2 + 8505*f**2/2 + 111537*f/2 + 236196 = 0. Calculate f.
-27, -8
Factor -4*h**2/3 + 56*h/3 + 128/3.
-4*(h - 16)*(h + 2)/3
Factor 3*g**2 - 66*g + 216.
3*(g - 18)*(g - 4)
Factor -2*w**4 + 7*w**3 + 5*w**2 - 4*w.
-w*(w - 4)*(w + 1)*(2*w - 1)
Suppose j**2/4 - 1309*j/2 + 1713481/4 = 0. Calculate j.
1309
Determine o, given that -3*o**5 + 33*o**3 - 54*o**2 + 24*o = 0.
-4, 0, 1, 2
Determine t, given that 12167*t**3 - 85698*t**2 + 201204*t - 157464 = 0.
54/23
Factor -4*g**2 - 664*g - 27556.
-4*(g + 83)**2
Factor -s**2 - 77*s + 1488.
-(s - 16)*(s + 93)
Solve 2*i**2/9 - 22*i/3 - 68/9 = 0 for i.
-1, 34
Factor 5*n**2 + 205*n + 200.
5*(n + 1)*(n + 40)
Suppose -2*p**3/3 - p**2/2 + 3*p/2 - 1/3 = 0. What is p?
-2, 1/4, 1
Let c**4 + 25*c**3 + 162*c**2 - 864 = 0. What is c?
-12, -3, 2
Factor -21*p**2/2 + 3903*p/2 + 279.
-3*(p - 186)*(7*p + 1)/2
Factor -5*l**3 - 1490*l**2 - 112480*l - 219040.
-5*(l + 2)*(l + 148)**2
Determine k, given that -13*k**5/8 + 53*k**4/4 - 41*k**3 + 58*k**2 - 34*k + 4 = 0.
2/13, 2
Suppose d**5 - 41*d**4 + 334*d**3 + 2946*d**2 - 19215*d - 99225 = 0. Calculate d.
-5, 9, 21
Factor 3*s**4 - 15*s**3 + 6*s**2 + 60*s - 72.
3*(s - 3)*(s - 2)**2*(s + 2)
Determine h so that h**3/5 - 3*h/5 + 2/5 = 0.
-2, 1
Factor 2*h**2 - 368*h + 16928.
2*(h - 92)**2
Factor -n**2 + 7*n + 44.
-(n - 11)*(n + 4)
Determine q so that -2*q**2 - 65*q - 357 = 0.
-51/2, -7
Factor b**3/2 + 7*b**2/2 + 5*b.
b*(b + 2)*(b + 5)/2
Solve 35*z**5 - 410*z**4 + 1340*z**3 - 590*z**2 - 1375*z + 1000 = 0.
-1, 1, 5, 40/7
Find h, given that 4*h**5/7 + 4*h**4 - 408*h**3/7 - 4752*h**2/7 - 14688*h/7 - 10368/7 = 0.
-6, -1, 12
Determine i, given that 2*i**3/17 - 12*i**2/17 + 22*i/17 - 12/17 = 0.
1, 2, 3
Solve -6*b**5/5 + 10*b**4/3 + 8*b**3 - 8*b**2 - 32*b/15 = 0.
-2, -2/9, 0, 1, 4
Suppose -4*j**2 - 48*j - 140 = 0. What is j?
-7, -5
Solve 2*l**3/15 - 22*l**2/15 + 62*l/15 - 14/5 = 0 for l.
1, 3, 7
Factor 16*d**4 + 13*d**3 - 3