7
Factor 2*j**4/5 + 12*j**3/5 - 126*j**2/5 + 216*j/5.
2*j*(j - 3)**2*(j + 12)/5
Suppose 2*g**2/7 + 394*g/7 - 396/7 = 0. Calculate g.
-198, 1
Factor -i**4 + i**3 + 10*i**2 + 8*i.
-i*(i - 4)*(i + 1)*(i + 2)
Solve -3*h**3/4 + 399*h**2/4 + 201*h/2 = 0 for h.
-1, 0, 134
Factor -2*v**5/3 + 98*v**3/3.
-2*v**3*(v - 7)*(v + 7)/3
Factor -2*s**4 + 23*s**3 + 182*s**2 + 85*s.
-s*(s - 17)*(s + 5)*(2*s + 1)
Suppose 3*w**3/5 + 51*w**2/5 + 189*w/5 - 243/5 = 0. Calculate w.
-9, 1
Factor 4*f**4/3 + 68*f**3/3 + 368*f**2/3 + 640*f/3.
4*f*(f + 4)*(f + 5)*(f + 8)/3
Let i**2/3 + 11*i/3 - 14 = 0. Calculate i.
-14, 3
Let 2*o**3/3 - 170*o**2/3 + 52*o + 336 = 0. Calculate o.
-2, 3, 84
Factor -5*s**3 + 95*s + 150.
-5*(s - 5)*(s + 2)*(s + 3)
Factor 5*m**4 + 30*m**3 + 45*m**2 - 20*m - 60.
5*(m - 1)*(m + 2)**2*(m + 3)
Solve -x**3/6 - 7*x**2/6 - 5*x/2 - 3/2 = 0.
-3, -1
Factor 7*j**3/5 - 226*j**2/5 + 673*j/5 - 174/5.
(j - 29)*(j - 3)*(7*j - 2)/5
Factor 5*c**2/3 + 118*c/3 - 16.
(c + 24)*(5*c - 2)/3
Let -j**4 - 62*j**3 - 957*j**2 + 248*j + 3844 = 0. Calculate j.
-31, -2, 2
Let -3*d**3 + 111*d**2 - 1305*d + 4725 = 0. What is d?
7, 15
Solve 2*v**2/17 - 518*v/17 = 0 for v.
0, 259
Find l, given that -4*l**2 + 24*l - 20 = 0.
1, 5
Factor -h**5 - 6*h**4 - 11*h**3 - 6*h**2.
-h**2*(h + 1)*(h + 2)*(h + 3)
Let -2*z**3 - 116*z**2 - 1792*z - 3136 = 0. What is z?
-28, -2
Find g, given that g**4/5 - 63*g**3/5 - 13*g**2 + 63*g/5 + 64/5 = 0.
-1, 1, 64
Find k such that 2*k**2/17 - 376*k/17 + 744/17 = 0.
2, 186
Solve -225*c**5 + 906*c**4 - 1149*c**3 + 480*c**2 - 12*c = 0.
0, 2/75, 1, 2
Factor q**3/3 + 125*q**2 + 15625*q + 1953125/3.
(q + 125)**3/3
Factor -2*b**3/7 + 730*b**2/7.
-2*b**2*(b - 365)/7
Let -2*y**4/9 - 6538*y**3/3 - 21372722*y**2/3 - 69867428218*y/9 = 0. Calculate y.
-3269, 0
Factor -4*s**2 - 1696*s.
-4*s*(s + 424)
Factor r**2/5 + 16*r/5 - 36/5.
(r - 2)*(r + 18)/5
Suppose -2*n**2/11 - 218*n/11 - 840/11 = 0. Calculate n.
-105, -4
Determine v, given that 2*v**3/9 + 28*v**2/9 - 10*v/3 = 0.
-15, 0, 1
Solve -3*g**3/4 - 3*g**2/4 + 3*g/2 = 0 for g.
-2, 0, 1
Find r, given that -3*r**4/4 - 33*r**3/4 - 15*r**2/2 = 0.
-10, -1, 0
Solve 4*o**5 - 160*o**4 - 168*o**3 + 160*o**2 + 164*o = 0.
-1, 0, 1, 41
Suppose 3*c**3 + 30*c**2 - 81*c - 108 = 0. What is c?
-12, -1, 3
Let 4*g**3 + 10500*g**2 + 9187500*g + 2679687500 = 0. Calculate g.
-875
Factor r**3/5 + 43*r**2/5 + 82*r/5.
r*(r + 2)*(r + 41)/5
Factor -10*i**3 - 55*i**2 - 65*i - 20.
-5*(i + 1)*(i + 4)*(2*i + 1)
Factor -o**3/4 + 3*o**2 - 27*o/4.
-o*(o - 9)*(o - 3)/4
Factor 4*j**3 - 152*j**2 + 1904*j - 7840.
4*(j - 14)**2*(j - 10)
Find v, given that v**5/3 + 4*v**4/3 - 2*v**3 - 32*v**2/3 - 35*v/3 - 4 = 0.
-4, -1, 3
Find q, given that -135*q**5 + 231*q**4 + 234*q**3 - 252*q**2 - 120*q = 0.
-1, -2/5, 0, 10/9, 2
Factor 5*s**4 - 5*s**3.
5*s**3*(s - 1)
Solve -4*f**4/7 + 10*f**3 + 206*f**2/7 - 120*f/7 = 0.
-3, 0, 1/2, 20
Let -4*c**4/5 + 49*c**3/5 + 20*c**2 - 28*c/5 = 0. Calculate c.
-2, 0, 1/4, 14
Factor -2*s**4/9 + 32*s**3/3 - 94*s**2/9.
-2*s**2*(s - 47)*(s - 1)/9
Determine h, given that 2*h**5 + 2510*h**4/7 + 5672*h**3/7 + 1416*h**2/7 = 0.
-177, -2, -2/7, 0
Solve -6*d**4 + 14*d**3 + 48*d**2 - 24*d - 32 = 0.
-2, -2/3, 1, 4
What is t in 4*t**4 - 6016*t**3 + 12020*t**2 - 6008*t = 0?
0, 1, 1502
Factor -r**4 - 15*r**3 - 79*r**2 - 165*r - 100.
-(r + 1)*(r + 4)*(r + 5)**2
Find j such that -5*j**4 + 50*j**3 + 425*j**2 + 850*j + 480 = 0.
-3, -2, -1, 16
Factor k**4 + 441*k**3/4 + 6105*k**2/2 + 3025*k/4.
k*(k + 55)**2*(4*k + 1)/4
Suppose -2*c**2 + 322*c + 3060 = 0. Calculate c.
-9, 170
Factor -2*g**2/5 + 16*g/5 - 32/5.
-2*(g - 4)**2/5
Determine j, given that j**5/3 - 11*j**4/3 + 8*j**3 + 12*j**2 = 0.
-1, 0, 6
Factor -2*b**3 - 870*b**2 - 2592*b.
-2*b*(b + 3)*(b + 432)
Determine y so that -45*y**2 - 19565*y + 4350 = 0.
-435, 2/9
Let 5*t**2/4 + 29*t/4 - 3/2 = 0. Calculate t.
-6, 1/5
Suppose -2*o**2/9 + 9944*o/9 - 12360392/9 = 0. What is o?
2486
Factor -4*s**3 - 8*s**2 + 28*s - 16.
-4*(s - 1)**2*(s + 4)
Factor -4*k**2 + 124*k - 880.
-4*(k - 20)*(k - 11)
Let 6*j**2 + 52*j = 0. Calculate j.
-26/3, 0
Suppose -4*s**4 - 60*s**3 - 196*s**2 - 228*s - 88 = 0. Calculate s.
-11, -2, -1
Determine i, given that 5*i**2 + 19500*i + 19012500 = 0.
-1950
Suppose -h**4/4 - 109*h**3/2 - 12097*h**2/4 - 5886*h - 2916 = 0. What is h?
-108, -1
Factor -3*l**5 + 48*l**4 + 105*l**3 + 54*l**2.
-3*l**2*(l - 18)*(l + 1)**2
Let 1300*r**3 - 8052*r**2 + 1520*r - 48 = 0. What is r?
1/25, 2/13, 6
Solve b**3 + 267*b**2 + 23763*b + 704969 = 0 for b.
-89
Factor -8*u**3 - 204*u**2 + 548*u - 336.
-4*(u - 1)*(u + 28)*(2*u - 3)
Factor -2*a**4/11 - 56*a**3/11 - 522*a**2/11 - 1620*a/11.
-2*a*(a + 9)**2*(a + 10)/11
Let 3*m**3/8 + 6507*m**2/8 + 4704561*m/8 + 1133799201/8 = 0. Calculate m.
-723
What is z in z**2 + 1522*z + 579121 = 0?
-761
Find w such that 2*w**5/19 - 54*w**4/19 + 386*w**3/19 - 234*w**2/19 - 676*w/19 = 0.
-1, 0, 2, 13
Solve 4*z**3 - 156*z**2 + 1440*z + 1600 = 0 for z.
-1, 20
What is d in -3*d**5 - 126*d**4 + 9*d**3 + 372*d**2 - 252*d = 0?
-42, -2, 0, 1
What is g in g**5/7 + 711*g**4/7 - 712*g**3/7 = 0?
-712, 0, 1
What is y in 3*y**3/7 - 9*y/7 - 6/7 = 0?
-1, 2
Suppose -2*p**4/3 + 14*p**3/3 + 2*p**2/3 - 14*p/3 = 0. Calculate p.
-1, 0, 1, 7
Factor -5*m**4 - 10*m**3 + 15*m**2 + 40*m + 20.
-5*(m - 2)*(m + 1)**2*(m + 2)
Solve -5*j**2/3 + 7250*j/3 - 2628125/3 = 0.
725
Factor -3*t**3 - 15786*t**2 - 27688644*t - 16188627192.
-3*(t + 1754)**3
Let 243*c**4 - 21114*c**3 + 467931*c**2 - 403512*c + 88752 = 0. Calculate c.
4/9, 43
Factor -14*s**3 + 396*s**2 - 490*s + 108.
-2*(s - 27)*(s - 1)*(7*s - 2)
Factor -f**5/2 - f**4/2 + 11*f**3/2 + 29*f**2/2 + 13*f + 4.
-(f - 4)*(f + 1)**3*(f + 2)/2
Solve 21*o**3/2 - 6*o**2 - 21*o/2 + 6 = 0.
-1, 4/7, 1
Factor 4*a**2 - 12*a - 112.
4*(a - 7)*(a + 4)
Factor -2*y**3 - 20*y**2 + 22*y.
-2*y*(y - 1)*(y + 11)
Factor k**5/4 - k**3/4.
k**3*(k - 1)*(k + 1)/4
Suppose 75*b**4 - 155*b**3 - 65*b**2 + 155*b - 10 = 0. What is b?
-1, 1/15, 1, 2
Factor 7*f**3/5 + 29*f**2 - 364*f/5 + 92/5.
(f - 2)*(f + 23)*(7*f - 2)/5
Factor 2*p**2/7 + 24*p + 166/7.
2*(p + 1)*(p + 83)/7
Suppose y**3/3 + 56*y**2/3 = 0. What is y?
-56, 0
Determine l, given that -2*l**4/5 - 552*l**3/5 + 222*l**2 - 556*l/5 = 0.
-278, 0, 1
Factor -5*k**4 - 470*k**3 - 11040*k**2 + 470*k + 11045.
-5*(k - 1)*(k + 1)*(k + 47)**2
Factor -3*i**5/4 + 9*i**4/4 - 3*i**3/2 - 3*i**2/2 + 9*i/4 - 3/4.
-3*(i - 1)**4*(i + 1)/4
Determine a so that a**3 + 2*a**2 - 19*a - 20 = 0.
-5, -1, 4
Determine h, given that -4*h**5 + 144*h**4 + 300*h**3 + 152*h**2 = 0.
-1, 0, 38
Determine t, given that -5*t**2 + 195*t + 630 = 0.
-3, 42
Solve -3*b**3 + 87*b**2 + 210*b - 744 = 0 for b.
-4, 2, 31
Find d such that 5*d**4 + 120*d**3 - 255*d**2 + 130*d = 0.
-26, 0, 1
Factor -2*l**3/11 + 10*l**2.
-2*l**2*(l - 55)/11
Solve n**2 - 3*n - 10 = 0.
-2, 5
Let 130*j**3/3 - 2861*j**2/3 + 15752*j/3 - 121/3 = 0. Calculate j.
1/130, 11
Factor q**2/2 - 219*q/2 - 110.
(q - 220)*(q + 1)/2
What is h in -3*h**3 + 92*h**2 - 492*h + 288 = 0?
2/3, 6, 24
Solve 2*o**2/9 + 22*o/3 + 532/9 = 0.
-19, -14
Find q, given that -2*q**4 + 78*q**3 + 80*q**2 = 0.
-1, 0, 40
Factor 3*h**2/2 + 57*h/2 - 63.
3*(h - 2)*(h + 21)/2
Factor -4*k**3 + 212*k**2 - 2912*k + 2704.
-4*(k - 26)**2*(k - 1)
Factor -g**2 + 53*g.
-g*(g - 53)
Determine o so that 2*o**2 + 850*o = 0.
-425, 0
Factor r**3/11 - 3*r**2/11 - 10*r/11.
r*(r - 5)*(r + 2)/11
Find i, given that -6*i**5/7 - 15*i**4/7 + 30*i**3 + 540*i**2/7 + 216*i/7 = 0.
-6, -2, -1/2, 0, 6
Suppose 2*t**4/5 - 78*t**3/5 + 714*t**2/5 + 958*t/5 - 1596/5 = 0. Calculate t.
-2, 1, 19, 21
Determine r so that -4*r**2 + 44*r + 104 = 0.
-2, 13
Factor 5*s**3 + 155*s**2.
5*s**2*(s + 31)
Factor -5*r**5 + 30*r**4 - 55*r**3 + 10*r**2 + 60*r - 40.
-5*(r - 2)**3*(r - 1)*(r + 1)
Factor -5*k**3 - 280*k**2 - 4185*k - 7290.
-5*(k + 2)*(k + 27)**2
Factor 2*f**2 + 460*f + 26450.
2*(f + 115)**2
Suppose 6*f**5 + 8*f**4 - 80*f**3 + 224*f - 128 = 0. What is f?
-4, -2, 2/3, 2
Determine a so that 2*a**5/17 - 8*a**4/17 - 94*a**3/17 + 276*a**2/17 + 792*a/17 + 432/17 = 0.
-6, -1, 6
What is b in b**3/3 - 12*b**2 + 131*b/3 - 32 = 0?
1, 3, 32
Factor c**5/4 - 605*c**4/2 + 146410*c**3 - 35431220*c**2 + 4287177620*c - 207499396808.
(c - 242)**5/4
Factor 33*u**4 + 102*u**3 + 108*u**2 + 42*u + 3.
3*(u + 1