ctor o**4 - 105*o**3 + 508*o**2 - 804*o + 400.
(o - 100)*(o - 2)**2*(o - 1)
Let -s**4/6 + 11*s**3/6 + 71*s**2/6 - 57*s/2 + 15 = 0. What is s?
-6, 1, 15
Suppose o**3/2 - 3*o**2 - 25*o/2 - 9 = 0. Calculate o.
-2, -1, 9
Find y such that -3*y**5/4 - 105*y**4/4 - 273*y**3/2 - 339*y**2/2 + 549*y/4 + 783/4 = 0.
-29, -3, -1, 1
Factor -i**5 - 3*i**4 + 9*i**3 + 23*i**2 + 12*i.
-i*(i - 3)*(i + 1)**2*(i + 4)
Factor -2*x**3/5 + 64*x**2/5.
-2*x**2*(x - 32)/5
Solve 2*b**5/9 - 32*b**4/9 + 56*b**3/9 + 4*b**2/9 - 58*b/9 + 28/9 = 0 for b.
-1, 1, 14
Factor 4*k**3/7 + 104*k**2/7 + 60*k - 3600/7.
4*(k - 4)*(k + 15)**2/7
Factor 2*z**3 + 40*z**2 - 1082*z - 1120.
2*(z - 16)*(z + 1)*(z + 35)
Factor -3*w**4 - 1122*w**3.
-3*w**3*(w + 374)
Find d such that -3*d**2/8 - 465*d/4 - 72075/8 = 0.
-155
Suppose 2*c**5 + 16*c**4/3 - 16*c**3 - 148*c**2/3 - 18*c + 12 = 0. What is c?
-3, -2, -1, 1/3, 3
Solve 2471045*v**5 - 4956150*v**4 + 2499185*v**3 - 14100*v**2 + 20*v = 0 for v.
0, 2/703, 1
Factor 4*q**5 - 44*q**4 + 104*q**3 - 64*q**2.
4*q**2*(q - 8)*(q - 2)*(q - 1)
Factor -21*l**3 - 5133*l**2 + 2949*l + 2205.
-3*(l - 1)*(l + 245)*(7*l + 3)
Factor 2*s**4/3 + 2*s**3/3 - 14*s**2/3 - 26*s/3 - 4.
2*(s - 3)*(s + 1)**2*(s + 2)/3
Factor 6*m**3 - 21*m**2/2 - 51*m - 12.
3*(m - 4)*(m + 2)*(4*m + 1)/2
Factor k**4/3 - 19*k**3/3 + 74*k**2/3 - 56*k/3.
k*(k - 14)*(k - 4)*(k - 1)/3
Factor -q**2 + 13*q.
-q*(q - 13)
Find j, given that 16*j**3/7 - 1196*j**2/7 + 23904*j/7 - 57024/7 = 0.
11/4, 36
Determine b, given that 5*b**5 + 40*b**4 + 80*b**3 + 10*b**2 - 85*b - 50 = 0.
-5, -2, -1, 1
Let -5*s**2 - 30*s + 35 = 0. What is s?
-7, 1
Factor -2*l**5 - 16*l**4 + 18*l**3.
-2*l**3*(l - 1)*(l + 9)
Factor -2*m**4 - 46*m**3 - 300*m**2 - 704*m - 448.
-2*(m + 1)*(m + 4)**2*(m + 14)
Factor -5*n**3 - 660*n**2 + 8640*n.
-5*n*(n - 12)*(n + 144)
Let -15*y**5 - 245*y**4 - 505*y**3 - 195*y**2 + 220*y + 140 = 0. What is y?
-14, -1, 2/3
Suppose -n**2 + 20*n - 19 = 0. What is n?
1, 19
Factor 3*v**2 + 294*v + 7203.
3*(v + 49)**2
Factor y**2/4 + 5*y/4 - 3/2.
(y - 1)*(y + 6)/4
Solve w**5 + w**4 - 3*w**3 - w**2 + 2*w = 0 for w.
-2, -1, 0, 1
Solve 2*c**2 + 60*c + 450 = 0 for c.
-15
Solve 3*m**2/2 + 21*m/2 - 12 = 0 for m.
-8, 1
What is w in w**2/9 + 172*w/9 + 7396/9 = 0?
-86
Determine h so that 10*h**5 + 95*h**4 - 175*h**3 - 110*h**2 = 0.
-11, -1/2, 0, 2
Let -2*k**5 + 52*k**4 - 134*k**3 - 116*k**2 + 568*k - 368 = 0. Calculate k.
-2, 1, 2, 23
Factor -y**4/2 + 15*y**3/2 - 22*y**2 - 30*y.
-y*(y - 10)*(y - 6)*(y + 1)/2
Solve -y**4/2 + 75*y**2/2 + 35*y - 72 = 0 for y.
-8, -2, 1, 9
Find i, given that -2*i**5/5 - 6*i**4/5 + 66*i**3/5 + 182*i**2/5 - 528*i/5 - 288 = 0.
-5, -3, 4
Solve 3*a**3 - 38*a**2 - 13*a = 0.
-1/3, 0, 13
Find s, given that 2*s**4/3 - s**3 = 0.
0, 3/2
Factor 2*n**4/5 + 58*n**3/5 - 258*n**2/5 + 198*n/5.
2*n*(n - 3)*(n - 1)*(n + 33)/5
Factor -3*b**3 + 42*b**2 - 75*b + 36.
-3*(b - 12)*(b - 1)**2
Let -2*f**3 + 4*f**2 + 6*f = 0. Calculate f.
-1, 0, 3
Factor 2*n**3/7 - 4*n**2/7 - 18*n/7 + 36/7.
2*(n - 3)*(n - 2)*(n + 3)/7
Solve d**2/5 - 132*d/5 - 133/5 = 0 for d.
-1, 133
Suppose 3*s**4/2 - 45*s**3/2 + 117*s**2/2 - 111*s/2 + 18 = 0. Calculate s.
1, 12
What is a in -a**5/9 - 23*a**4/3 - 1289*a**3/9 - 1133*a**2/3 - 242*a = 0?
-33, -2, -1, 0
Determine g so that -3*g**5 - 33*g**4 - 57*g**3 - 27*g**2 = 0.
-9, -1, 0
Factor 12*i**2 - 188*i - 64.
4*(i - 16)*(3*i + 1)
Factor -9*g**2/2 - 24*g + 18.
-3*(g + 6)*(3*g - 2)/2
Solve -4*y**4 - 88*y**3 + 48*y**2 + 992*y - 1408 = 0 for y.
-22, -4, 2
Determine m so that -2*m**3/5 - 7*m**2 + 2*m/5 + 7 = 0.
-35/2, -1, 1
Factor 3*j**2 - 27*j - 66.
3*(j - 11)*(j + 2)
Factor -3*g**5/4 - 549*g**4/4 + 1113*g**3/2 - 1677*g**2/2 + 2241*g/4 - 561/4.
-3*(g - 1)**4*(g + 187)/4
Factor 484*y**2/5 - 44*y/5 - 8/5.
4*(11*y - 2)*(11*y + 1)/5
Solve -3*w**3 + 2610*w**2 + 2619*w - 5226 = 0 for w.
-2, 1, 871
Determine c, given that 5*c**2 - 2762*c + 5504 = 0.
2, 2752/5
Find q, given that 15*q**4 + 174*q**3 + 543*q**2 + 204*q - 180 = 0.
-6, -5, -1, 2/5
Let 2*m**3/7 + 14*m**2 - 204*m/7 = 0. What is m?
-51, 0, 2
Factor s**4/2 - 24*s**3 + 286*s**2 + 96*s - 1152.
(s - 24)**2*(s - 2)*(s + 2)/2
Factor -p**5 - 2947*p**4 - 2892970*p**3 - 944067302*p**2 + 1896825307*p - 949862087.
-(p - 1)**2*(p + 983)**3
Suppose -2*h**3 + 46*h**2 + 98*h + 50 = 0. What is h?
-1, 25
Let 2*p**2/3 + 64*p - 800/3 = 0. What is p?
-100, 4
Find s such that -240*s**3/7 - 2*s**2/7 = 0.
-1/120, 0
Suppose 4*d**3/9 + 40*d**2/9 + 92*d/9 + 56/9 = 0. What is d?
-7, -2, -1
Suppose 5*f**2 + 700*f + 4020 = 0. What is f?
-134, -6
Factor -v**4/3 + v**3/3 + 10*v**2 + 76*v/3 + 56/3.
-(v - 7)*(v + 2)**3/3
Factor -4*b**2/7 - 12*b/7 + 40/7.
-4*(b - 2)*(b + 5)/7
Find c such that 16*c**4 - 28*c**3 + 12*c**2 = 0.
0, 3/4, 1
Factor 3*w**3 + 217*w**2 + 285*w + 71.
(w + 1)*(w + 71)*(3*w + 1)
Let 3*j**4/8 - 39*j**3/4 - 273*j**2/8 + 87*j/2 = 0. What is j?
-4, 0, 1, 29
Suppose -3*u**2/8 - 1773*u/2 - 1047843/2 = 0. What is u?
-1182
Let -z**5/5 + 9*z**3/5 + 4*z**2/5 - 12*z/5 = 0. What is z?
-2, 0, 1, 3
Suppose 5*v**3 + 105*v**2 + 90*v - 200 = 0. Calculate v.
-20, -2, 1
Find n such that 2*n**2/9 + 2108*n/9 + 555458/9 = 0.
-527
Find g such that 4*g**5/9 - 934*g**4/9 - 2366*g**3/9 + 1400*g**2/9 + 3784*g/9 - 1888/9 = 0.
-2, 1/2, 1, 236
Determine i, given that 3*i**5 - 27*i**4 - 162*i**3 + 648*i**2 = 0.
-6, 0, 3, 12
Suppose 6*t**4 - 393*t**3 + 6333*t**2 + 3465*t - 3267 = 0. What is t?
-1, 1/2, 33
Determine h so that -h**3/2 - 283*h**2/2 - 10220*h - 29400 = 0.
-140, -3
Factor m**2/3 + 1691*m/3.
m*(m + 1691)/3
Factor -4*w**2/9 - 292*w/9 - 568/9.
-4*(w + 2)*(w + 71)/9
Factor c**4/3 - c**2/3.
c**2*(c - 1)*(c + 1)/3
Factor 2*a**2/9 + 580*a/9 - 1168/9.
2*(a - 2)*(a + 292)/9
Determine a so that -10*a**5 + 36*a**4 - 48*a**3 + 28*a**2 - 6*a = 0.
0, 3/5, 1
Find r, given that 160*r**5 + 1404*r**4 + 3576*r**3 + 2176*r**2 + 384*r = 0.
-4, -2/5, -3/8, 0
Solve -2*m**4 - 176*m**3 - 5040*m**2 - 43200*m + 108000 = 0.
-30, 2
Solve w**4/4 - 21*w**3/4 + 11*w**2 + 144*w = 0 for w.
-4, 0, 9, 16
Let -94*d**2/5 + 74*d/5 + 4 = 0. What is d?
-10/47, 1
Let -2*i**2/3 + 10*i/3 = 0. What is i?
0, 5
Let 3*m**5 + 102*m**4 + 90*m**3 - 300*m**2 - 93*m + 198 = 0. What is m?
-33, -2, -1, 1
Find m, given that -3*m**4 + 105*m**3 - 195*m**2 - 105*m + 198 = 0.
-1, 1, 2, 33
Suppose 11*t**5 - 20*t**4 - 81*t**3 - 58*t**2 - 8*t = 0. Calculate t.
-1, -2/11, 0, 4
Let -20*g**4/7 - 88*g**3/7 + 348*g**2/7 - 128*g/7 - 16 = 0. What is g?
-7, -2/5, 1, 2
Factor 5*w**3 + 130*w**2 - 275*w + 140.
5*(w - 1)**2*(w + 28)
Solve 6*w**2/5 + 31104*w/5 = 0.
-5184, 0
Factor 5*m**5/2 + 55*m**4 + 150*m**3 + 145*m**2 + 95*m/2.
5*m*(m + 1)**3*(m + 19)/2
Factor h**4 + 12*h**3 + 10*h**2 - 12*h - 11.
(h - 1)*(h + 1)**2*(h + 11)
Factor -j**4 + 172*j**3 - 171*j**2.
-j**2*(j - 171)*(j - 1)
Let 13*k**2 + 11*k - 270 = 0. What is k?
-5, 54/13
What is g in -25*g**5/2 - 715*g**4/2 - 2293*g**3 + 3773*g**2 - 2445*g/2 + 225/2 = 0?
-15, 1/5, 1
Factor -2*t**4 - 54*t**3 - 144*t**2.
-2*t**2*(t + 3)*(t + 24)
Solve 5*c**3/4 - 65*c**2/4 + 105*c/2 = 0.
0, 6, 7
Determine b so that -4*b**2 - 116*b - 840 = 0.
-15, -14
Factor v**4/6 + 4*v**3 - 9*v**2/2 - 25*v/3.
v*(v - 2)*(v + 1)*(v + 25)/6
Factor 16*j**5 + 5*j**4 - 96*j**3 + 98*j**2 - 8*j - 15.
(j - 1)**3*(j + 3)*(16*j + 5)
Let 3*d**2 + 31962*d + 85130787 = 0. What is d?
-5327
What is b in -b**5/6 - b**4/3 + 13*b**3/6 + 19*b**2/3 + 4*b = 0?
-3, -2, -1, 0, 4
Factor 2*o**3 + 48*o**2.
2*o**2*(o + 24)
Factor -2*b**3/3 + 52*b**2/3 + 18*b.
-2*b*(b - 27)*(b + 1)/3
Determine a so that 4*a**2/5 - 14*a/5 + 12/5 = 0.
3/2, 2
Factor 4*x**2 + 3716*x - 3720.
4*(x - 1)*(x + 930)
What is u in 5*u**2/2 + 15*u - 35/2 = 0?
-7, 1
Factor -3*i**3/5 + 24*i**2/5 + 363*i/5 + 336/5.
-3*(i - 16)*(i + 1)*(i + 7)/5
Solve -5*g**4 - 5*g**3 + 110*g**2 - 220*g + 120 = 0 for g.
-6, 1, 2
Factor -4*r**3/3 + 7*r**2/3 + 20*r/3 - 12.
-(r - 2)**2*(4*r + 9)/3
What is i in i**4/2 - 77*i**3 + 3040*i**2 - 5776*i = 0?
0, 2, 76
Factor c**2/11 - 212*c.
c*(c - 2332)/11
Factor 2*j**3/5 + 42*j**2/5 - 98*j/5 - 138/5.
2*(j - 3)*(j + 1)*(j + 23)/5
Let 2*f**3/3 - 244*f**2 - 2*f/3 + 244 = 0. What is f?
-1, 1, 366
Factor 16*z**3 + 22*z**2 - 90*z - 36.
2*(z - 2)*(z + 3)*(8*z + 3)
Determine n so that -3*n**5/2 - 8*n**4 - 4*n**3 + 31*n**2 + 75*n/2 + 9 = 0.
-3, -1, -1/3, 2
Solve -3