m**4/15 - 4*m**3/5 + 8*m**2/5 - 16*m/15 = 0.
0, 2
Let f**2/4 + 9*f - 144 = 0. Calculate f.
-48, 12
Solve 5*p**4 + 45*p**3 + 140*p**2 + 180*p + 80 = 0.
-4, -2, -1
Suppose -j**4/3 - 49*j**3 - 145*j**2 - 433*j/3 - 48 = 0. Calculate j.
-144, -1
Factor -3*j**2/5 + 267*j/5 - 474.
-3*(j - 79)*(j - 10)/5
Factor -6*p**2 + 1028*p + 688.
-2*(p - 172)*(3*p + 2)
Let -2*k**3 - 1660*k**2 + 2*k + 1660 = 0. What is k?
-830, -1, 1
Let 28*d**5 + 624*d**4/5 + 908*d**3/5 + 408*d**2/5 - 112*d/5 - 96/5 = 0. Calculate d.
-2, -1, -6/7, 2/5
Determine p, given that 3*p**2 + 8*p + 5 = 0.
-5/3, -1
Solve -5*n**3 - 10*n**2 - 5*n = 0 for n.
-1, 0
Factor 4*j**3 + 168*j**2 + 1920*j + 3200.
4*(j + 2)*(j + 20)**2
Find t such that 5*t**3 - 445*t**2 + 2100*t = 0.
0, 5, 84
Factor 2*i**2 + 22*i + 56.
2*(i + 4)*(i + 7)
Find m, given that 7*m**5 - 82*m**4 + 277*m**3 - 82*m**2 - 608*m - 160 = 0.
-1, -2/7, 4, 5
Let k**4/4 - 49*k**3/4 + 557*k**2/4 - 971*k/4 + 231/2 = 0. What is k?
1, 14, 33
Determine w so that -2*w**3/15 + 10*w**2/3 - 112*w/5 + 96/5 = 0.
1, 12
Let 10*q**4 - 85*q**3 + 185*q**2 - 35*q - 75 = 0. What is q?
-1/2, 1, 3, 5
Factor -3*m**2 - 51*m - 90.
-3*(m + 2)*(m + 15)
Determine l so that l**2/8 - 287*l/4 - 575/8 = 0.
-1, 575
Suppose 3*i**5 - 327*i**4 + 7704*i**3 + 65112*i**2 + 157296*i + 121104 = 0. Calculate i.
-3, -2, 58
Factor 1195*t**2 + 2360*t - 60.
5*(t + 2)*(239*t - 6)
Factor g**5 - 285*g**4 + 20730*g**3 - 60490*g**2 + 59925*g - 19881.
(g - 141)**2*(g - 1)**3
Find q, given that 3*q**2 - 24*q + 21 = 0.
1, 7
Find o such that 2*o**3/9 + 665*o**2/3 + 2989*o/9 + 332/3 = 0.
-996, -1, -1/2
Factor -q**4 + 27*q**3 - 131*q**2 + 105*q.
-q*(q - 21)*(q - 5)*(q - 1)
Let -2*p**4 + 2*p**3 + 10*p**2 + 6*p = 0. What is p?
-1, 0, 3
Factor 10*i**4 + 32*i**3 + 36*i**2 + 16*i + 2.
2*(i + 1)**3*(5*i + 1)
Factor -m**3/3 + 7*m/3 - 2.
-(m - 2)*(m - 1)*(m + 3)/3
Factor v**2/3 + 2*v + 8/3.
(v + 2)*(v + 4)/3
Solve 3*v**2/4 - 333*v/4 + 165/2 = 0 for v.
1, 110
Determine z, given that -z**4 - 21*z**3 - 135*z**2 - 243*z = 0.
-9, -3, 0
Let -j**3 - j**2 + 10*j - 8 = 0. What is j?
-4, 1, 2
Let 3*r**3 - 228*r**2 + 207*r + 1350 = 0. What is r?
-2, 3, 75
Factor -j**2/3 + 7*j/3.
-j*(j - 7)/3
Solve -3*k**3/4 + 7*k**2/4 + 9*k + 5 = 0 for k.
-2, -2/3, 5
Factor -11*t**3 + 79*t**2/3 - 46*t/3.
-t*(t - 1)*(33*t - 46)/3
What is g in 4*g**5/3 - 6*g**4 + 22*g**3/3 - 8*g/3 = 0?
-1/2, 0, 1, 2
Factor 3*h**3 - 51*h**2 + 189*h + 243.
3*(h - 9)**2*(h + 1)
Let 3*y**4/2 - 87*y**3/2 + 336*y**2 - 294*y = 0. Calculate y.
0, 1, 14
Determine l, given that -13703392457*l**3 - 34358694*l**2 - 28716*l - 8 = 0.
-2/2393
Factor 2*p**4/5 + 14*p**3/5 + 6*p**2 + 18*p/5.
2*p*(p + 1)*(p + 3)**2/5
Factor q**3/2 + 29*q**2/2 + 40*q + 26.
(q + 1)*(q + 2)*(q + 26)/2
Factor -12*d**2 + 100*d + 72.
-4*(d - 9)*(3*d + 2)
Find v such that -34*v**5/11 - 30*v**4/11 + 140*v**3/11 + 120*v**2/11 - 16*v/11 = 0.
-2, -1, 0, 2/17, 2
Solve -2*g**5 + 104*g**4 - 554*g**3 + 44*g**2 + 2176*g + 1472 = 0 for g.
-1, 4, 46
Factor -4*o**2 + 88*o - 160.
-4*(o - 20)*(o - 2)
Factor -25*v**3 + 760*v**2 - 1700*v + 560.
-5*(v - 28)*(v - 2)*(5*v - 2)
What is t in 2*t**3/3 + 16*t**2/3 - 2*t/3 - 16/3 = 0?
-8, -1, 1
Factor -2*i**3/7 - 6*i**2/7 - 6*i/7 - 2/7.
-2*(i + 1)**3/7
Determine b so that -2*b**4 + 140*b**3 - 1224*b**2 + 1296*b + 8640 = 0.
-2, 6, 60
Factor a**3/3 - 5*a**2/3 + 2*a.
a*(a - 3)*(a - 2)/3
Factor 2*y**4 + 36*y**3 + 94*y**2 + 60*y.
2*y*(y + 1)*(y + 2)*(y + 15)
Let 2*f**3/5 + 1176*f**2/5 + 2346*f/5 + 1172/5 = 0. What is f?
-586, -1
Solve -3*n**2/2 - 3*n/2 + 18 = 0 for n.
-4, 3
Find m, given that -9*m**3/4 - 213*m**2/4 - 306*m + 108 = 0.
-12, 1/3
Factor 5*n**5/6 + 5*n**4/3 - 5*n**2/3 - 5*n/6.
5*n*(n - 1)*(n + 1)**3/6
Determine w, given that -5*w**2 + 202*w - 80 = 0.
2/5, 40
Factor -26*q**4 + 56*q**3 - 34*q**2 + 4*q.
-2*q*(q - 1)**2*(13*q - 2)
Factor 15*f**5 + 57*f**4 + 42*f**3.
3*f**3*(f + 1)*(5*f + 14)
Factor 2*k**5 - 10*k**4 + 18*k**3 - 14*k**2 + 4*k.
2*k*(k - 2)*(k - 1)**3
Suppose -2*l**2/21 + 4*l/7 = 0. What is l?
0, 6
Solve 3*k**2 + 108*k - 480 = 0.
-40, 4
Solve 3*q**5 + 6*q**4 - 123*q**3 - 126*q**2 = 0 for q.
-7, -1, 0, 6
Determine v, given that -2*v**4/3 - 538*v**3/3 - 35360*v**2/3 + 36992*v = 0.
-136, 0, 3
Let 135*k**4 - 1344*k**3 - 195*k**2 + 1344*k + 60 = 0. What is k?
-1, -2/45, 1, 10
Factor -5*f**2/3 + 905*f/3 - 1750.
-5*(f - 175)*(f - 6)/3
Find v, given that 2*v**3 - 4562*v**2 + 2603760*v - 2599200 = 0.
1, 1140
Factor p**5 - 5*p**4 + 3*p**3 + 13*p**2 - 8*p - 12.
(p - 3)*(p - 2)**2*(p + 1)**2
Factor -2*y**2/3 - 424*y - 1270/3.
-2*(y + 1)*(y + 635)/3
Factor n**3/4 - n**2/4 - 2*n + 3.
(n - 2)**2*(n + 3)/4
Suppose 95*a**5/4 + 5*a**4 = 0. Calculate a.
-4/19, 0
Solve b**2/2 - b/2 - 1 = 0 for b.
-1, 2
Factor -m**3 + 1020*m**2 - 2037*m + 1018.
-(m - 1018)*(m - 1)**2
Determine g, given that -g**4 + 4*g**3/3 + 25*g**2/3 + 26*g/3 + 8/3 = 0.
-1, -2/3, 4
Factor -390*l**3/7 - 393*l**2/7 - 3*l/7.
-3*l*(l + 1)*(130*l + 1)/7
Factor 5*g**4/3 - 20*g**3/3 + 10*g**2/3 + 20*g/3 - 5.
5*(g - 3)*(g - 1)**2*(g + 1)/3
Let m**5/4 - 35*m**4/2 - 345*m**3/2 - 410*m**2 - 1495*m/4 - 237/2 = 0. What is m?
-6, -1, 79
Solve 2*k**5 - 6*k**4 - 2*k**3 + 6*k**2 = 0 for k.
-1, 0, 1, 3
What is f in -f**4/8 + 43*f**2/8 + 21*f/4 = 0?
-6, -1, 0, 7
Determine m, given that -2*m**3 - 2*m**2 + 4*m = 0.
-2, 0, 1
Factor -45*q**2 + 685*q - 150.
-5*(q - 15)*(9*q - 2)
Solve -15*p**3 - 6*p**2 + 60*p + 24 = 0 for p.
-2, -2/5, 2
Factor -27*f**2/4 - 12*f + 3.
-3*(f + 2)*(9*f - 2)/4
Find x such that 5*x**4 - 45*x**3 - 170*x**2 - 120*x = 0.
-2, -1, 0, 12
Factor -4*o**2 + 15*o + 4.
-(o - 4)*(4*o + 1)
Suppose -3*q**5/2 + 11*q**4 + 5*q**3/2 - 44*q**2 + 14*q = 0. What is q?
-2, 0, 1/3, 2, 7
Let 3*u**5/5 + 7*u**4/5 - 43*u**3/5 - 3*u**2/5 + 64*u/5 + 4 = 0. Calculate u.
-5, -1, -1/3, 2
Let 2*i**5/17 + 4*i**4/17 - 6*i**3/17 - 16*i**2/17 - 8*i/17 = 0. What is i?
-2, -1, 0, 2
Factor n**3/4 - 39*n**2/2 + 75*n - 74.
(n - 74)*(n - 2)**2/4
Factor 5*x**4 + 15*x**3 - 20*x.
5*x*(x - 1)*(x + 2)**2
Factor 3*s**3/4 + 15*s**2/4 - 63*s/2 - 108.
3*(s - 6)*(s + 3)*(s + 8)/4
Factor -2*z**2/3 + 124*z - 370/3.
-2*(z - 185)*(z - 1)/3
Factor 5*j**3 + 200*j**2 - 1920*j.
5*j*(j - 8)*(j + 48)
Solve -27*h**4/7 - 549*h**3/7 - 93*h**2 + 621*h/7 - 114/7 = 0.
-19, -2, 1/3
Determine k so that -4*k**4 + 16*k**3 - 4*k**2 - 24*k = 0.
-1, 0, 2, 3
Factor -o**5 + 13*o**4 - 67*o**3 + 171*o**2 - 216*o + 108.
-(o - 3)**3*(o - 2)**2
Find r such that -5*r**3 + 175*r**2 = 0.
0, 35
Find t such that -4*t**5 - 144*t**4 - 692*t**3 + 13272*t**2 + 28224*t = 0.
-21, -2, 0, 8
Factor -4*d**3 + 48*d**2 - 44*d.
-4*d*(d - 11)*(d - 1)
Factor 17*o**2/3 + 45*o - 8/3.
(o + 8)*(17*o - 1)/3
Solve 9*z**3/4 - 15*z**2/4 - 8*z - 3 = 0 for z.
-2/3, 3
Find o, given that -3*o**4/4 - 9*o**3/4 + 27*o**2/2 = 0.
-6, 0, 3
Solve 4*s**2/9 + 10*s/9 - 2/3 = 0 for s.
-3, 1/2
Factor -5*i**2 + 115*i + 1650.
-5*(i - 33)*(i + 10)
Suppose o**4/3 - 2*o**3 - 8*o**2 - 26*o/3 - 3 = 0. Calculate o.
-1, 9
Suppose -2*l**4/3 - 62*l**3/3 + 2*l**2/3 + 62*l/3 = 0. Calculate l.
-31, -1, 0, 1
Let 3*h**2/5 - 12*h + 108/5 = 0. What is h?
2, 18
Suppose 11*x**3 - 83*x**2 + 108*x - 36 = 0. What is x?
6/11, 1, 6
Suppose -2*o**2/7 - 24876*o/7 - 77351922/7 = 0. What is o?
-6219
Determine b, given that -b**3 - 8*b**2 + 140*b + 1200 = 0.
-10, 12
Solve -4*n**4/7 + 228*n**2/7 + 800*n/7 + 576/7 = 0.
-4, -1, 9
Determine h, given that h**3/3 + 77*h**2/3 + 76*h/3 = 0.
-76, -1, 0
What is l in -2*l**5/7 + 10*l**4/7 - 18*l**3/7 + 2*l**2 - 4*l/7 = 0?
0, 1, 2
Factor 2*n**4/9 - 52*n**3/9 + 146*n**2/9 + 832*n/3 + 512.
2*(n - 16)**2*(n + 3)**2/9
Factor 5*j**2 - 375*j - 380.
5*(j - 76)*(j + 1)
Factor i**4/4 - 19*i**3/4 + 28*i**2 - 39*i - 72.
(i - 8)*(i - 6)**2*(i + 1)/4
Factor -5*c**3 - 21345*c**2 - 30373935*c - 14407369835.
-5*(c + 1423)**3
Suppose 10*s**2/3 + 58*s/3 + 76/3 = 0. What is s?
-19/5, -2
Factor -h**4/2 - 12*h**3 + 79*h**2/2 - 27*h.
-h*(h - 2)*(h - 1)*(h + 27)/2
Suppose -487*q**3 + 2*q**2 + 1948*q - 8 = 0. Calculate q.
-2, 2/487, 2
Find s such that s**4 - 29*s**3 + 217*s**2 - 351*s + 162 = 0.
1, 9, 18
Factor 2*c**5/9 + 8*c**4/3 + 32*c**3/3 + 160*c**2/9 + 32*c/3.
2*c*(c + 2)**3*(c + 6)/9
Let -2*f**5 + 22*f**4 - 14*f**3 - 70*f**2 + 104*f - 40 = 0. Calculate f.
-2, 1, 10
Solve -d**4/6 + d**3/3 = 0.
0, 2
What is h in 2*h**3/1