, given that 9*p**5/7 + 141*p**4/7 - 207*p**3/7 - 45*p**2/7 + 102*p/7 = 0.
-17, -2/3, 0, 1
Determine a, given that -a**3/4 - 5*a**2/2 - 27*a/4 - 9/2 = 0.
-6, -3, -1
Let -5*s**2 - 35*s + 40 = 0. Calculate s.
-8, 1
Factor 6*a**3/5 - 38*a**2/5 + 8*a/5 + 24/5.
2*(a - 6)*(a - 1)*(3*a + 2)/5
Solve -3*x**3 + 15*x**2 - 12*x = 0 for x.
0, 1, 4
Factor 5*h**4 + 1105*h**3 + 62675*h**2 + 178215*h.
5*h*(h + 3)*(h + 109)**2
Factor -m**3/2 - 37*m**2/2.
-m**2*(m + 37)/2
Let 4*t**4/5 - 188*t**3/5 - 592*t**2/5 - 80*t = 0. Calculate t.
-2, -1, 0, 50
Factor 4*c**4 + 3380*c**3 + 715712*c**2 + 712336*c.
4*c*(c + 1)*(c + 422)**2
Factor t**2/2 + 9*t.
t*(t + 18)/2
Factor -3*r**3 + 87*r**2 + 384*r + 396.
-3*(r - 33)*(r + 2)**2
Factor 5*d**2 - 60*d - 65.
5*(d - 13)*(d + 1)
Factor 2*s**3/5 - 24*s**2/5 - 128*s/5.
2*s*(s - 16)*(s + 4)/5
Find l such that 3*l**3 + 6*l**2 - 24*l = 0.
-4, 0, 2
Solve -2*o**5 - 6*o**4 + 210*o**3 - 650*o**2 = 0.
-13, 0, 5
Factor c**2 - 14*c/3 - 5/3.
(c - 5)*(3*c + 1)/3
Factor 27*p**3 - 2604*p**2 + 1152*p.
3*p*(p - 96)*(9*p - 4)
Suppose -3*t**4 + 72*t**3 - 432*t**2 = 0. What is t?
0, 12
Factor 2*j**3 - 6*j**2 - 18*j + 54.
2*(j - 3)**2*(j + 3)
Determine c, given that 3*c**4 + 450*c**3 + 22539*c**2 + 424800*c + 2673408 = 0.
-59, -16
Factor 3*k**2 - 4254*k + 1508043.
3*(k - 709)**2
Factor -4*l**2/5 - 1744*l/5 - 3472/5.
-4*(l + 2)*(l + 434)/5
Factor c**2/3 - 14*c/9 - 5/9.
(c - 5)*(3*c + 1)/9
Determine t, given that 2*t**4/7 - 18*t**3/7 + 48*t**2/7 - 32*t/7 = 0.
0, 1, 4
Determine j, given that 99*j**3 + 96*j**2 - 201*j + 6 = 0.
-2, 1/33, 1
Determine z so that 132*z**4 + 387*z**3 + 231*z**2 - 36*z - 12 = 0.
-2, -1, -2/11, 1/4
Suppose 2*k**4 + 1110*k**3 - 4462*k**2 + 5586*k - 2236 = 0. Calculate k.
-559, 1, 2
Solve -2*i**5/7 - 66*i**4/7 + 468*i**3/7 - 108*i**2/7 - 4050*i/7 + 6318/7 = 0.
-39, -3, 3
Find c such that 6*c**5/7 + 72*c**4/7 + 258*c**3/7 + 360*c**2/7 + 24*c = 0.
-7, -2, -1, 0
Factor -5*z**5 + 15*z**4 - 10*z**3 - 10*z**2 + 15*z - 5.
-5*(z - 1)**4*(z + 1)
Factor -3*d**3/7 + 48*d**2/7 - 240*d/7 + 384/7.
-3*(d - 8)*(d - 4)**2/7
Factor 2504322*w**2/17 + 17904*w/17 + 32/17.
2*(1119*w + 4)**2/17
Suppose -5*h**5 + 114*h**4 - 544*h**3 + 642*h**2 + 549*h - 756 = 0. Calculate h.
-1, 1, 3, 84/5
Let -2*a**2 + 2*a = 0. Calculate a.
0, 1
Factor -x**2/7 - 97*x/7 - 712/7.
-(x + 8)*(x + 89)/7
Factor 6498*u**3/5 - 1254*u**2 - 226*u/5 - 2/5.
2*(u - 1)*(57*u + 1)**2/5
Factor 23*d**2/5 - 44*d/5 - 4/5.
(d - 2)*(23*d + 2)/5
Factor -5*d**5/2 - 192*d**4 - 17847*d**3/5 + 22464*d**2/5 - 13689*d/10.
-d*(d + 39)**2*(5*d - 3)**2/10
Factor 47*y**2 + 84*y - 20.
(y + 2)*(47*y - 10)
Factor -3*c**3 - 215*c**2 - 556*c - 276.
-(c + 2)*(c + 69)*(3*c + 2)
Solve -2*b**5/5 - 1124*b**4/5 + 1128*b**3/5 + 1124*b**2/5 - 1126*b/5 = 0 for b.
-563, -1, 0, 1
Factor -3*d**3 + 6*d**2 + 15*d - 18.
-3*(d - 3)*(d - 1)*(d + 2)
Suppose 3*y**5/8 + 51*y**4/8 - 57*y**3/8 - 51*y**2/8 + 27*y/4 = 0. Calculate y.
-18, -1, 0, 1
Let -y**5/3 - 10*y**4/3 - 12*y**3 - 58*y**2/3 - 43*y/3 - 4 = 0. Calculate y.
-4, -3, -1
Factor -5*k**3 + 170*k**2 + 1600*k + 3360.
-5*(k - 42)*(k + 4)**2
Factor 5*m**4 + 80*m**3 - 385*m**2 + 300*m.
5*m*(m - 3)*(m - 1)*(m + 20)
Factor 3*x**3 + 24*x**2 + 21*x.
3*x*(x + 1)*(x + 7)
Solve -5*p**4 + 30*p**3 + 40*p**2 - 30*p - 35 = 0 for p.
-1, 1, 7
Factor -q**5 - 21*q**4 + 181*q**3 - 411*q**2 + 252*q.
-q*(q - 3)**2*(q - 1)*(q + 28)
Factor 3*v**3 - 39*v**2 - 42*v.
3*v*(v - 14)*(v + 1)
Find j, given that -j**3 - 53*j**2 - 728*j - 676 = 0.
-26, -1
Suppose -4*f**5 + 24*f**4 - 4*f**3 - 96*f**2 + 80*f = 0. What is f?
-2, 0, 1, 2, 5
What is d in -4*d**4 + 76*d**3 + 96*d**2 - 304*d - 320 = 0?
-2, -1, 2, 20
Factor 25*x**2/6 - 320*x/3 + 2048/3.
(5*x - 64)**2/6
Find s such that -4*s**5 + 24*s**4 + 336*s**3 - 1504*s**2 - 7680*s + 18432 = 0.
-6, 2, 8
Suppose -3*u**3/5 - 2274*u**2/5 - 4539*u/5 - 2268/5 = 0. What is u?
-756, -1
Factor 3*f**3/2 - 342*f**2 + 25992*f - 658464.
3*(f - 76)**3/2
Determine f so that -2*f**5 + 234*f**4 - 8628*f**3 + 79540*f**2 + 736278*f + 1240578 = 0.
-3, 41
Find h, given that -4*h**2 + 2592*h + 2596 = 0.
-1, 649
Factor 4*b**2 - 116*b + 792.
4*(b - 18)*(b - 11)
Factor -t**5/2 + 47*t**4/6 - 136*t**3/3 + 112*t**2 - 256*t/3 - 128/3.
-(t - 4)**4*(3*t + 1)/6
Factor h**4/2 + 3*h**3 + 4*h**2.
h**2*(h + 2)*(h + 4)/2
Factor f**2 - 37*f + 160.
(f - 32)*(f - 5)
Suppose 5*v**2/6 - 1081*v/3 - 433/2 = 0. Calculate v.
-3/5, 433
Find b, given that -3*b**5 + 69*b**4 - 387*b**3 - 213*b**2 + 1326*b - 792 = 0.
-2, 1, 11, 12
Factor 3*y**4 - 60*y**3 + 414*y**2 - 1188*y + 1215.
3*(y - 9)*(y - 5)*(y - 3)**2
Factor 2*m**4 + 8*m**3 + 4*m**2 - 8*m - 6.
2*(m - 1)*(m + 1)**2*(m + 3)
Factor k**2 + 8*k - 209.
(k - 11)*(k + 19)
What is v in 3*v**3 - 1815*v**2 + 275424*v - 273612 = 0?
1, 302
Determine j, given that 4*j**2/15 - 566*j/15 + 94/5 = 0.
1/2, 141
Determine g so that -g**5/4 + 37*g**4/4 - 65*g**3/4 - 181*g**2/4 + 105*g/2 = 0.
-2, 0, 1, 3, 35
Determine i so that i**4/6 - 23*i**3/2 + 133*i**2/6 + 23*i/2 - 67/3 = 0.
-1, 1, 2, 67
Determine p, given that -52*p**4 - 476*p**3 + 2008*p**2 + 2816*p + 384 = 0.
-12, -1, -2/13, 4
Factor -5*d**5 + 530*d**4 - 3045*d**3 + 4500*d**2.
-5*d**2*(d - 100)*(d - 3)**2
Factor 2*c**2/7 + 2652*c/7 + 879138/7.
2*(c + 663)**2/7
Factor -4*o**3 + 120*o**2 - 432*o + 416.
-4*(o - 26)*(o - 2)**2
Find z, given that 3*z**4/5 + 609*z**3/5 + 5874*z**2/5 + 16284*z/5 + 13896/5 = 0.
-193, -6, -2
Solve -35*j**5 - 12793*j**4 - 1178642*j**3 - 1759204*j**2 - 328328*j + 264992 = 0.
-182, -1, -4/5, 2/7
Let f**5/6 - f**4 + 7*f**3/6 + 3*f**2 - 22*f/3 + 4 = 0. What is f?
-2, 1, 2, 3
Let -c**5 - 2*c**4 + 4*c**3 + 2*c**2 - 3*c = 0. Calculate c.
-3, -1, 0, 1
Suppose -4*s**3 + 12*s**2 + 36*s + 20 = 0. What is s?
-1, 5
Let 3*l**5 + 10*l**4 - 119*l**3 + 278*l**2 - 244*l + 72 = 0. Calculate l.
-9, 2/3, 1, 2
Factor q**2 + 2075*q - 4154.
(q - 2)*(q + 2077)
Solve -o**5 - 3*o**4 + 6*o**3 + 28*o**2 + 24*o = 0 for o.
-2, 0, 3
Factor -2*z**3/15 - 14*z**2/3 + 304*z/15 - 104/5.
-2*(z - 2)**2*(z + 39)/15
Suppose -3*f**3 - 327*f**2 - 8745*f + 9075 = 0. Calculate f.
-55, 1
Solve -5*d**5 - 1330*d**4 - 113285*d**3 - 2658340*d**2 + 35760400*d - 97336000 = 0.
-92, 5
Factor -3*t**3 - 207*t**2 - 4761*t - 36501.
-3*(t + 23)**3
Find n such that -91*n**2/4 - 817*n/4 + 9/2 = 0.
-9, 2/91
Find j, given that 4*j**3 + 144*j**2 + 1620*j + 5400 = 0.
-15, -6
Find g, given that 18*g**5 + 40*g**4 + 8*g**3 - 36*g**2 - 26*g - 4 = 0.
-1, -2/9, 1
Factor -4*r**2 + 1360*r - 115600.
-4*(r - 170)**2
What is i in -2*i**2/3 + 1576*i/3 - 310472/3 = 0?
394
Factor -s**4/2 - 2*s**3 + 286*s**2 + 576*s - 41472.
-(s - 16)**2*(s + 18)**2/2
Suppose -c**3/4 - 47*c**2/4 + 75*c/2 = 0. What is c?
-50, 0, 3
Determine r, given that 2*r**2/5 - 46*r + 228/5 = 0.
1, 114
What is j in 2009*j**4/2 - 721*j**3/2 + 83*j**2/2 - 3*j/2 = 0?
0, 3/41, 1/7
Let -u**4/2 + 25*u**3/2 + 44*u**2 - 56*u = 0. Calculate u.
-4, 0, 1, 28
Factor 2*m**2/9 + 94*m/9 + 140/3.
2*(m + 5)*(m + 42)/9
Factor -5*z**3/4 - 105*z**2/4 - 675*z/4 - 1215/4.
-5*(z + 3)*(z + 9)**2/4
Let -b**3 - 3*b**2 + 28*b = 0. Calculate b.
-7, 0, 4
Let c**3 + 36*c**2 - 75*c + 38 = 0. Calculate c.
-38, 1
Determine h so that -h**2/3 + 103*h/3 + 1130/3 = 0.
-10, 113
Suppose -20*j**5/3 + 45*j**4 + 595*j**3/3 + 180*j**2 + 100*j/3 = 0. What is j?
-2, -1, -1/4, 0, 10
Factor -2*s**3/5 - 129*s**2/5 - 2112*s/5 - 1024/5.
-(s + 32)**2*(2*s + 1)/5
Factor -3*d**4 + 156*d**3 + 1194*d**2 + 2628*d + 1593.
-3*(d - 59)*(d + 1)*(d + 3)**2
Determine j so that -5*j**2 + 800*j - 795 = 0.
1, 159
Determine a, given that -4*a**5 - 112*a**4 + 244*a**3 + 112*a**2 - 240*a = 0.
-30, -1, 0, 1, 2
Factor -484*l**4 + 2816*l**3 - 4096*l**2.
-4*l**2*(11*l - 32)**2
Determine d, given that 5*d**4 - 5315*d**3 + 1885050*d**2 - 223689060*d + 221809320 = 0.
1, 354
Factor -2*n**4 - 36*n**3 - 160*n**2 + 36*n + 162.
-2*(n - 1)*(n + 1)*(n + 9)**2
Determine v so that -v**2 - 1835*v + 1836 = 0.
-1836, 1
Find s, given that -5*s**3 + 325*s**2 + 330*s = 0.
-1, 0, 66
Solve -5*u**4 + 250*u**3 - 240*u**2 - 82170*u - 81675 = 0 for u.
-15, -1, 33
Let -189*a**5 + 810*a**4 - 762*a**3 + 72*a**2 + 87*a - 18 = 0. Calculate a.
-1/3, 2/7, 1/3, 1, 3
Factor b**4/4 + 13*b**3/2 - 179*b**2/4 - 186*b.
b*(b - 8)*(b + 3)*(b + 31)/4
Factor 4*d**4 - 8*d**3 - 48*d**2 + 72*d + 108.
4*(d -