 25*b/2 - 5 = 0. What is b?
-1, 2
Factor -10*k**2/19 - 58*k/19 - 40/19.
-2*(k + 5)*(5*k + 4)/19
Factor z**2/2 - 101*z/2.
z*(z - 101)/2
Let m**4/5 + 4*m**3 - m**2/5 - 4*m = 0. Calculate m.
-20, -1, 0, 1
Factor -3*s**4 + 9*s**3 + 48*s**2 + 36*s.
-3*s*(s - 6)*(s + 1)*(s + 2)
Find n, given that -5*n**4 + 5*n**2 = 0.
-1, 0, 1
Factor -2*f**3/13 - 54*f**2/13 - 304*f/13 - 480/13.
-2*(f + 3)*(f + 4)*(f + 20)/13
Factor 2*h**4 - 27058*h**3 + 122013540*h**2 - 183345661400*h - 183467702000.
2*(h - 4510)**3*(h + 1)
Factor -2*r**2/5 - 156*r - 15210.
-2*(r + 195)**2/5
Factor -4*s**4 - 28*s**3 + 68*s**2 - 36*s.
-4*s*(s - 1)**2*(s + 9)
Factor 5*l**5 + 20*l**4 - 30*l**3 - 20*l**2 + 25*l.
5*l*(l - 1)**2*(l + 1)*(l + 5)
Determine k, given that -5*k**4 - 90*k**3 - 60*k**2 + 410*k - 255 = 0.
-17, -3, 1
Solve 2*j**2/9 + 1087*j/9 - 544/9 = 0 for j.
-544, 1/2
Find b such that 6*b**4 - 146*b**3 + 572*b**2 + 3976*b + 2352 = 0.
-3, -2/3, 14
Factor 2*h**4 + 230*h**3 + 898*h**2 + 1114*h + 444.
2*(h + 1)**2*(h + 2)*(h + 111)
Let 55*h**4/4 + 137*h**3/2 - 5*h**2/4 = 0. Calculate h.
-5, 0, 1/55
Find t such that -2*t**3/3 - 26*t**2 + 344*t/3 = 0.
-43, 0, 4
Factor w**2/9 + 3*w - 58/9.
(w - 2)*(w + 29)/9
Factor k**2/3 + 10*k/3 - 8.
(k - 2)*(k + 12)/3
Find h such that -18*h**4/7 + 15*h**3/7 + 75*h**2/7 - 60*h/7 - 12/7 = 0.
-2, -1/6, 1, 2
Suppose -m**5 - 3*m**4 - 3*m**3 - m**2 = 0. Calculate m.
-1, 0
Determine p so that -3*p**4 + 108*p**3 + 342*p**2 + 348*p + 117 = 0.
-1, 39
Let -2*o**4 + 1096*o**3 - 150152*o**2 = 0. Calculate o.
0, 274
Factor 2*a**5/13 - 12*a**4/13 - 30*a**3/13 - 16*a**2/13.
2*a**2*(a - 8)*(a + 1)**2/13
Factor p**5 + 9*p**4/4 + p**3/2.
p**3*(p + 2)*(4*p + 1)/4
Solve -3*a**4 + 3*a**3 + 18*a**2 = 0.
-2, 0, 3
Factor 4*a**5/9 - 40*a**4/9 - 44*a**3/9.
4*a**3*(a - 11)*(a + 1)/9
Find n such that n**5/4 + 4*n**4 + 55*n**3/4 = 0.
-11, -5, 0
What is p in -2*p**3/25 - 284*p**2/25 - 282*p/25 = 0?
-141, -1, 0
Factor -z**3 - 15*z**2 + 16*z.
-z*(z - 1)*(z + 16)
Factor y**5/4 + y**4/2 - y**2/2 - y/4.
y*(y - 1)*(y + 1)**3/4
What is m in m**4/4 + 9*m**3/4 + 13*m**2/4 - 9*m/4 - 7/2 = 0?
-7, -2, -1, 1
Factor -3*g**2 + 324*g - 8748.
-3*(g - 54)**2
Factor -4*n**2/5 - 48*n/5 - 144/5.
-4*(n + 6)**2/5
Factor -3*x**2/7 + 144*x/7 + 300/7.
-3*(x - 50)*(x + 2)/7
What is t in -200*t**4/9 + 760*t**3/9 - 442*t**2/9 - 112*t/9 - 2/3 = 0?
-1/10, 1, 3
Find z such that -2*z**3/3 - 22*z**2/3 + 148*z/3 - 64 = 0.
-16, 2, 3
Factor -5*j**4 - 70*j**3 + 15*j**2 + 220*j + 140.
-5*(j - 2)*(j + 1)**2*(j + 14)
Factor z**2/3 - 31*z/3 + 58/3.
(z - 29)*(z - 2)/3
What is w in -2*w**2 + 256*w - 8192 = 0?
64
Solve 3*t**4 - 219*t**3 - 2559*t**2 + 5763*t - 2988 = 0.
-12, 1, 83
Factor 5*i**4 + 275*i**3 - 3510*i**2 + 8100*i + 11880.
5*(i - 6)**2*(i + 1)*(i + 66)
Let 2*c**3/11 + 54*c**2/11 + 52*c/11 = 0. What is c?
-26, -1, 0
Factor -c**2/12 + 29*c - 173/3.
-(c - 346)*(c - 2)/12
Find w such that 2*w**5/3 + 52*w**4/3 - 292*w**3/3 + 544*w**2/3 - 430*w/3 + 124/3 = 0.
-31, 1, 2
Suppose -28*v**2 + 120*v - 32 = 0. What is v?
2/7, 4
Factor -o**2/4 - 141*o/2 - 19881/4.
-(o + 141)**2/4
Determine g so that -2*g**5 + 18*g**4 - 44*g**3 + 12*g**2 + 46*g - 30 = 0.
-1, 1, 3, 5
Factor t**2/3 + 53*t/3 + 52/3.
(t + 1)*(t + 52)/3
Let -36*p**4 - 172*p**3 - 212*p**2 - 52*p + 24 = 0. Calculate p.
-3, -1, 2/9
Factor v**2 - 25*v + 24.
(v - 24)*(v - 1)
Factor 2*q**5 + 16*q**4 + 12*q**3 - 16*q**2 - 14*q.
2*q*(q - 1)*(q + 1)**2*(q + 7)
Factor -d**2/11 + 31*d/11 + 6.
-(d - 33)*(d + 2)/11
Factor -2*a**3 + 4*a**2 + 42*a + 36.
-2*(a - 6)*(a + 1)*(a + 3)
Find n, given that 10*n**5 - 585*n**4 - 305*n**3 + 585*n**2 + 295*n = 0.
-1, -1/2, 0, 1, 59
Find j, given that -j**2/4 - 93*j/2 - 185/4 = 0.
-185, -1
Solve 2*r**5 + 312*r**4/11 - 1000*r**3/11 + 908*r**2/11 - 174*r/11 - 68/11 = 0.
-17, -2/11, 1
Factor 2*b**2/13 + 144*b/13 + 2592/13.
2*(b + 36)**2/13
Factor -58*v**2/5 - 78*v/5 - 4.
-2*(v + 1)*(29*v + 10)/5
Factor -10*w**2/3 + 4546*w/3 + 1820/3.
-2*(w - 455)*(5*w + 2)/3
Factor -5*b**2 + 210*b - 400.
-5*(b - 40)*(b - 2)
Factor r**2 - 16*r.
r*(r - 16)
Find j, given that j**3 + 74*j**2 + 1292*j - 2888 = 0.
-38, 2
Find l, given that -7*l**5/3 + 44*l**4/3 + 65*l**3/3 - 190*l**2/3 - 148*l/3 + 56/3 = 0.
-2, -1, 2/7, 2, 7
Find q, given that -2*q**4/17 - 106*q**3/17 - 282*q**2/17 + 954*q/17 + 2700/17 = 0.
-50, -3, 3
Find a such that 15*a**2 + 48*a + 33 = 0.
-11/5, -1
Factor -n**3 + 89*n**2 - 175*n + 87.
-(n - 87)*(n - 1)**2
Factor -3*o**3/5 + 132*o**2/5 + 12*o/5 - 528/5.
-3*(o - 44)*(o - 2)*(o + 2)/5
Factor v**4/9 - 2*v**3/9 - 419*v**2/9 + 140*v/3 + 4900.
(v - 15)**2*(v + 14)**2/9
Factor -3*v**3 - 87*v**2 - 585*v + 675.
-3*(v - 1)*(v + 15)**2
Solve 3*t**2 + 389*t/3 + 86/3 = 0.
-43, -2/9
Factor -2*j**3 - 48*j**2 - 126*j.
-2*j*(j + 3)*(j + 21)
Factor -2*b**2 - 16*b + 168.
-2*(b - 6)*(b + 14)
Factor -2*y**3 + 166*y**2 - 4422*y + 37026.
-2*(y - 33)**2*(y - 17)
Factor 3*t**2 + 1347*t - 2706.
3*(t - 2)*(t + 451)
Factor -3*x**5/2 + 3*x**4 + 27*x**3 + 48*x**2 + 69*x/2 + 9.
-3*(x - 6)*(x + 1)**4/2
Factor 21*s**2 + 165*s/7 + 18/7.
3*(s + 1)*(49*s + 6)/7
Find l, given that 3*l**3 + 666*l**2 + 1323*l + 660 = 0.
-220, -1
Factor -2*s**4/9 + 52*s**3/9 + 56*s**2/3 + 172*s/9 + 58/9.
-2*(s - 29)*(s + 1)**3/9
Factor 3*o**3 - 18*o**2 - 48*o.
3*o*(o - 8)*(o + 2)
Solve 62*g**4 - 178*g**3 - 24*g**2 + 248*g + 32 = 0 for g.
-1, -4/31, 2
Find w such that 801*w**2 + 5613*w + 42 = 0.
-7, -2/267
What is v in 6*v**5 + 356*v**4 - 1784*v**3 + 572*v**2 + 3858*v + 1152 = 0?
-64, -1, -1/3, 3
Let 5*n**5/2 - 96*n**4 + 1208*n**3 - 4693*n**2 - 7605*n/2 + 2197 = 0. Calculate n.
-1, 2/5, 13
Let 24*j**4 - 3339*j**3 + 7017*j**2 - 4113*j + 411 = 0. What is j?
1/8, 1, 137
Factor 5*w**3/3 + 15*w**2 - 485*w/3 - 175.
5*(w - 7)*(w + 1)*(w + 15)/3
Factor 2*x**3/13 - 2*x**2/13 - 2*x/13 + 2/13.
2*(x - 1)**2*(x + 1)/13
Factor 4*d**5/7 + 100*d**4/7 + 400*d**3/7.
4*d**3*(d + 5)*(d + 20)/7
Solve -3*x**4/7 - 138*x**3/7 - 327*x**2/7 + 4140*x - 18900 = 0 for x.
-30, 7
Factor 14*r**3/11 + 962*r**2/11 - 276*r/11.
2*r*(r + 69)*(7*r - 2)/11
Solve 2*b**3/15 - 16*b**2/3 + 686*b/15 - 464/5 = 0 for b.
3, 8, 29
Factor 3*y**2/5 + 9*y + 108/5.
3*(y + 3)*(y + 12)/5
Factor 5*n**4 - 10*n**3 - 5*n**2 + 10*n.
5*n*(n - 2)*(n - 1)*(n + 1)
Factor p**3/3 - 10*p**2/3 + 9*p - 6.
(p - 6)*(p - 3)*(p - 1)/3
Solve 8*k**2/9 - 86*k/9 - 22/9 = 0 for k.
-1/4, 11
Factor q**2/6 + 77*q/6 - 340/3.
(q - 8)*(q + 85)/6
Factor -i**3/3 + 4*i**2/3 + 7*i/3 - 10/3.
-(i - 5)*(i - 1)*(i + 2)/3
Factor 4*t**3 - 68*t**2 + 384*t - 720.
4*(t - 6)**2*(t - 5)
Let 3*p**3/7 + 531*p**2 - 7443*p/7 + 3723/7 = 0. Calculate p.
-1241, 1
Let u**2/3 - 106*u/3 + 2233/3 = 0. Calculate u.
29, 77
Solve -3*v**2/2 + 2107*v/4 - 351/4 = 0.
1/6, 351
Determine r, given that r**4/2 - 7*r**3 + 9*r**2/2 + 28*r - 26 = 0.
-2, 1, 2, 13
Solve -2*z**3 + 24*z**2 - 70*z = 0 for z.
0, 5, 7
Solve -f**3/3 - 595*f**2/3 - 88208*f/3 + 88804/3 = 0 for f.
-298, 1
Find i such that 52*i**5/3 - 1084*i**4/9 - 56*i**3/9 = 0.
-2/39, 0, 7
Find v, given that 2*v**2 + 488*v - 490 = 0.
-245, 1
Suppose d**4/2 + 3*d**3 - 113*d**2/2 - 3*d + 56 = 0. Calculate d.
-14, -1, 1, 8
Factor -2*l**3/5 - 39*l**2/5 - 36*l + 20.
-(l + 10)**2*(2*l - 1)/5
Determine x so that -8*x**4/7 - 8*x**3/7 - 2*x**2/7 = 0.
-1/2, 0
Factor f**3/2 - 11*f**2/2 - 93*f/2 - 153/2.
(f - 17)*(f + 3)**2/2
Let 3*i**3 - 15*i**2 - 264*i - 624 = 0. What is i?
-4, 13
Factor -5*a**3/2 - 105*a**2/2 - 675*a/2 - 1215/2.
-5*(a + 3)*(a + 9)**2/2
Factor -3*x**4 + 66*x**3 - 363*x**2.
-3*x**2*(x - 11)**2
Let -3*b**3 - 42*b**2 + 96*b = 0. What is b?
-16, 0, 2
Find a, given that -2*a**4 + 36*a**3 - 66*a**2 + 32*a = 0.
0, 1, 16
Determine i, given that i**3 - 4*i**2 - 29*i - 24 = 0.
-3, -1, 8
What is c in c**3/3 - 1338*c**2 + 1790244*c - 798448824 = 0?
1338
Suppose p**4 - 15*p**3 + 19*p**2 + 87*p + 52 = 0. Calculate p.
-1, 4, 13
Factor -4*s**5 - 17224*s**4 - 18558852*s**3 - 37066048*s**2 - 18524416*s.
-4*s*(s + 1)**2*(s + 2152)**2
Solve -f**4/6 + 19*f**3/3 + 81*f**2/2 - 7588*f/3 + 7448/3 = 0.
-19, 1, 28
Factor -o**2 - 319*o.
-o*(o + 319)
Find f, given that -f**2 - 29*f + 62 = 0.
-31, 2
Find r such that 3*r**4 - 57*r**3 - 264*r**2 - 276*r = 0.
-2, 0, 23
What is k in 3*k**3 + 81*k**2 + 186*k - 720 = 0?
-24, -5, 2
Determine q, given that 5*q**3 - 270*q**2 - 275*q = 0.
-1, 0, 