 48*c + 1728 = 0.
72
Find f, given that -5*f**5 + 120*f**4 - 400*f**3 = 0.
0, 4, 20
Find y, given that 5*y**4 - 36*y**3 - 33*y**2 + 8*y = 0.
-1, 0, 1/5, 8
Find a, given that -2*a**5/21 + 10*a**4/21 + 8*a**3/7 - 160*a**2/21 + 128*a/21 = 0.
-4, 0, 1, 4
Solve v**4 + 10*v**3 + 33*v**2 + 40*v + 16 = 0 for v.
-4, -1
Factor 4*u**4 + 32*u**3 + 88*u**2 + 96*u + 36.
4*(u + 1)**2*(u + 3)**2
Factor -2*x**2 - 106*x/3 - 68/3.
-2*(x + 17)*(3*x + 2)/3
Suppose -y**4 + 83*y**3 + 344*y**2 + 348*y = 0. Calculate y.
-2, 0, 87
Let r**2/6 + 23*r/3 + 15/2 = 0. Calculate r.
-45, -1
Factor -b**4 - 8*b**3 - 24*b**2 - 32*b - 16.
-(b + 2)**4
Let 4*d**4/7 + 5*d**3 + 51*d**2/7 - 90*d/7 = 0. What is d?
-6, -15/4, 0, 1
Factor -4*p**2 + 196*p - 192.
-4*(p - 48)*(p - 1)
What is q in 189*q**5 + 1524*q**4 + 2919*q**3 + 84*q**2 - 180*q = 0?
-5, -3, -2/7, 0, 2/9
Factor 2*c**5/9 + 8*c**4/9 + 8*c**3/9 - 4*c**2/9 - 10*c/9 - 4/9.
2*(c - 1)*(c + 1)**3*(c + 2)/9
Determine f, given that f**5/3 - 2*f**4/3 - 4*f**3 + 40*f**2/3 - 32*f/3 = 0.
-4, 0, 2
Let -5*z**4 - 20*z**3 = 0. Calculate z.
-4, 0
Determine r, given that 4*r**2 + 556*r + 2680 = 0.
-134, -5
Solve -3*p**3/2 + 16731*p**2 - 62205858*p + 77093793348 = 0 for p.
3718
Suppose -2*d**4/3 - 2*d**3/3 + 20*d**2 + 48*d = 0. What is d?
-4, -3, 0, 6
Suppose 4*p**3/7 + 384*p**2/7 + 108*p + 376/7 = 0. Calculate p.
-94, -1
Factor y**2/3 - 107*y/3 + 1672/3.
(y - 88)*(y - 19)/3
Factor -b**2/5 + 16*b/5.
-b*(b - 16)/5
Solve -435*a**2 + 876*a - 12 = 0 for a.
2/145, 2
Factor -9*p**2 - 84*p + 645.
-3*(p - 5)*(3*p + 43)
Determine m, given that 5*m**5 - 40*m**4 + 85*m**3 + 70*m**2 - 420*m + 360 = 0.
-2, 2, 3
Factor h**3/4 + 31*h**2/4 + 56*h - 64.
(h - 1)*(h + 16)**2/4
Solve 3*c**2 + 5334*c = 0.
-1778, 0
Let 4*b**3 + 27*b**2/7 - 841*b/7 + 30/7 = 0. Calculate b.
-6, 1/28, 5
Factor -2*l**2/5 + 2318*l/5.
-2*l*(l - 1159)/5
Suppose -1000*n**5/13 - 550*n**4/13 + 870*n**3/13 + 124*n**2/13 - 248*n/13 + 48/13 = 0. Calculate n.
-1, -3/4, 2/5
Let 4*q**4 - 8*q**3 - 320*q**2 = 0. Calculate q.
-8, 0, 10
Factor -3*h**4 + 51*h**3 - 324*h**2 + 912*h - 960.
-3*(h - 5)*(h - 4)**3
Factor 408*a**2 - 807*a - 18.
3*(a - 2)*(136*a + 3)
Suppose z**5/5 - 112*z**4/5 + 627*z**3 + 112*z**2/5 - 3136*z/5 = 0. What is z?
-1, 0, 1, 56
Let -2*i**4/9 - 2*i**3/9 = 0. Calculate i.
-1, 0
Suppose 4*s**4 - 28*s**3 + 40*s**2 = 0. Calculate s.
0, 2, 5
Find b such that -10*b**4/13 - 36*b**3/13 + 206*b**2/13 - 216*b/13 + 56/13 = 0.
-7, 2/5, 1, 2
Factor 5*v**2 - 85*v + 330.
5*(v - 11)*(v - 6)
What is m in -m**3/8 + 75*m**2/4 + 151*m/8 = 0?
-1, 0, 151
Let -5*j**3 - 370*j**2 - 705*j + 1080 = 0. What is j?
-72, -3, 1
Determine u so that 3*u**4/2 - 51*u**3/2 - 117*u**2/2 + 51*u/2 + 57 = 0.
-2, -1, 1, 19
Factor 5*m**3/7 - 247*m**2/7 - 152*m/7 + 100/7.
(m - 50)*(m + 1)*(5*m - 2)/7
Find t, given that -2*t**5/9 - 68*t**4/9 + 2*t**3/3 + 200*t**2/9 - 136*t/9 = 0.
-34, -2, 0, 1
Solve -2*z**5 + 122*z**4 - 2108*z**3 + 12812*z**2 - 19778*z + 8954 = 0.
1, 11, 37
Determine l so that 3*l**3 + 255*l**2 + 6600*l + 54000 = 0.
-45, -20
Determine c, given that -2*c**5 + 4*c**4 + 52*c**3 + 112*c**2 + 94*c + 28 = 0.
-2, -1, 7
Suppose -16*y**4 - 416*y**3 + 492*y**2 + 1548*y - 1944 = 0. What is y?
-27, -2, 3/2
Find y, given that 4*y**3 + 96*y**2 + 452*y + 360 = 0.
-18, -5, -1
Find w such that w**3 + 146*w**2 - 755*w = 0.
-151, 0, 5
Find h such that -6*h**3/5 + 12*h**2/5 = 0.
0, 2
Determine z, given that -z**2/11 - 26*z/11 = 0.
-26, 0
Factor 4*b**3 + 8*b**2 - 84*b + 72.
4*(b - 3)*(b - 1)*(b + 6)
Determine p, given that -5*p**4 + 510*p**3 - 12465*p**2 - 28600*p + 40560 = 0.
-3, 1, 52
Factor -14*p**3 + 1718*p**2 - 2896*p - 968.
-2*(p - 121)*(p - 2)*(7*p + 2)
Factor -2*o**2 - 418*o.
-2*o*(o + 209)
Factor 3*m**2/7 + 6*m.
3*m*(m + 14)/7
Suppose w**4/4 + 7*w**3/4 + w**2/4 - 27*w/4 + 9/2 = 0. Calculate w.
-6, -3, 1
Find m, given that 21*m**4/2 - 57*m**3/2 - 1299*m**2/2 + 957*m/2 + 189 = 0.
-7, -2/7, 1, 9
Find m such that -5*m**4 + 15*m**3 + 55*m**2 - 15*m - 50 = 0.
-2, -1, 1, 5
Find s, given that 700*s**3 - 17356*s**2 - 3616*s + 400 = 0.
-2/7, 2/25, 25
Factor 2*x**3/5 - 42*x/5 - 8.
2*(x - 5)*(x + 1)*(x + 4)/5
Suppose h**4 - 48*h**3 + 621*h**2 - 1058*h = 0. What is h?
0, 2, 23
Factor -2*n**3 + 292*n**2 - 850*n - 1144.
-2*(n - 143)*(n - 4)*(n + 1)
Solve -5*j**3 + 270*j**2 + 275*j = 0 for j.
-1, 0, 55
Solve k**5/2 - 12*k**4 + 101*k**3/2 - 55*k**2 - 42*k + 76 = 0.
-1, 2, 19
Determine n so that 4*n**2/9 - 1576*n/9 + 155236/9 = 0.
197
Factor -2*j**3/17 + 18*j**2/17 + 128*j/17 + 168/17.
-2*(j - 14)*(j + 2)*(j + 3)/17
Factor 2*b**4/3 + 8*b**3/3 + 2*b**2.
2*b**2*(b + 1)*(b + 3)/3
Factor c**2/4 - 17*c/4 + 4.
(c - 16)*(c - 1)/4
Factor 4*n**3 + 76*n**2 - 256*n + 176.
4*(n - 2)*(n - 1)*(n + 22)
Let 5*f**3/3 - 7*f**2/3 - 58*f/3 + 8 = 0. What is f?
-3, 2/5, 4
Factor -k**4/2 - 6*k**3 - 6*k**2 + 40*k.
-k*(k - 2)*(k + 4)*(k + 10)/2
Determine l so that 4*l**3 + 308*l**2/9 - 16*l = 0.
-9, 0, 4/9
What is p in p**2/11 - 262*p/11 + 1032/11 = 0?
4, 258
Let 2*l**5/17 + 14*l**4/17 + 2*l**3 + 2*l**2 + 12*l/17 = 0. What is l?
-3, -2, -1, 0
Solve -5*l**5 - 400*l**4 - 8385*l**3 - 15210*l**2 = 0 for l.
-39, -2, 0
Factor y**4/2 + 31*y**3/2 + 111*y**2/2 + 81*y/2.
y*(y + 1)*(y + 3)*(y + 27)/2
Find j, given that -5*j**3 - 75*j**2 - 240*j + 320 = 0.
-8, 1
What is r in -r**4/2 - r**3/2 + 7*r**2/2 + r/2 - 3 = 0?
-3, -1, 1, 2
Factor -c**5 - 34*c**4 - 396*c**3 - 1944*c**2 - 3456*c.
-c*(c + 6)**3*(c + 16)
Suppose 55*j**4 + 1160*j**3 + 105*j**2 = 0. Calculate j.
-21, -1/11, 0
Solve v**5/2 - 3*v**4 + 13*v**3/2 - 6*v**2 + 2*v = 0 for v.
0, 1, 2
Factor 1591328*z**2/9 - 3568*z/3 + 2.
2*(892*z - 3)**2/9
Determine g, given that 3*g**3 + 18*g**2 - 120*g = 0.
-10, 0, 4
Factor u**4/4 + u**3 + u**2/4 - 3*u/2.
u*(u - 1)*(u + 2)*(u + 3)/4
Factor -b**4 - 13*b**3 - 18*b**2 + 160*b - 128.
-(b - 2)*(b - 1)*(b + 8)**2
Factor 2*a**2/3 + 1352*a/3 + 450.
2*(a + 1)*(a + 675)/3
What is x in x**2/5 - 33*x/5 + 32/5 = 0?
1, 32
Factor -l**4/2 - 926*l**3 - 3701*l**2/2 - 925*l.
-l*(l + 1)**2*(l + 1850)/2
Factor 8*d**3/3 - 22*d**2/3 + 10*d/3 + 4/3.
2*(d - 2)*(d - 1)*(4*d + 1)/3
Find n, given that -28*n**4 + 20*n**3 + 176*n**2 + 48*n = 0.
-2, -2/7, 0, 3
Factor -4*l**2 + 200*l/3 - 128/3.
-4*(l - 16)*(3*l - 2)/3
Factor -4*n**4 + 20*n**3 + 4*n**2 - 20*n.
-4*n*(n - 5)*(n - 1)*(n + 1)
Factor 48*t**3 - 88*t**2 - 47*t/3 - 2/3.
(t - 2)*(12*t + 1)**2/3
Find h such that -39*h**4/7 + 240*h**3/7 - 72*h**2 + 384*h/7 - 48/7 = 0.
2/13, 2
Factor -2*u**4/13 + 6*u**3/13 - 6*u**2/13 + 2*u/13.
-2*u*(u - 1)**3/13
Factor 2*z**5/5 - 8*z**4/5 + 2*z**3 - 4*z**2/5.
2*z**2*(z - 2)*(z - 1)**2/5
Find l such that 3*l**4/4 - 9*l**3/2 - 261*l**2/4 + 141*l - 72 = 0.
-8, 1, 12
Determine a so that 2*a**2 - 40*a = 0.
0, 20
Factor 2*a**3/7 + 122*a**2/7 + 116*a/7 - 240/7.
2*(a - 1)*(a + 2)*(a + 60)/7
Factor p**2/3 - 2*p/3 - 143/3.
(p - 13)*(p + 11)/3
Factor -f**2/4 + 81*f/2 - 6561/4.
-(f - 81)**2/4
Let 2*i**2 + 1936*i - 3880 = 0. Calculate i.
-970, 2
Find u, given that 8*u**5/5 - 316*u**4/5 - 32*u**3 = 0.
-1/2, 0, 40
Factor 9*t**4 + 174*t**3 - 741*t**2 + 414*t.
3*t*(t - 3)*(t + 23)*(3*t - 2)
Factor c**3/7 - 963*c**2/7 + 2882*c/7 - 1920/7.
(c - 960)*(c - 2)*(c - 1)/7
Determine n so that n**2 + 66*n + 305 = 0.
-61, -5
Find v, given that 33*v**5/2 + 105*v**4/2 - 15*v**3/2 - 105*v**2/2 - 9*v = 0.
-3, -1, -2/11, 0, 1
Factor -c**2/2 - 44*c - 968.
-(c + 44)**2/2
What is f in 4*f**3 + 56*f**2 - 272*f + 288 = 0?
-18, 2
Let 3*y**5 - 18*y**4 - 9*y**3 + 48*y**2 + 36*y = 0. What is y?
-1, 0, 2, 6
Let v**2/2 + 29*v/2 + 69 = 0. Calculate v.
-23, -6
Let -15*g**5 + 363*g**4 - 1557*g**3 + 1437*g**2 - 228*g = 0. Calculate g.
0, 1/5, 1, 4, 19
Factor 5*m**4 + 205*m**3 - 210*m**2.
5*m**2*(m - 1)*(m + 42)
Find j, given that -j**4/2 - 47*j**3/2 + 3*j**2/2 + 139*j/2 - 47 = 0.
-47, -2, 1
Find d such that d**5 + 5*d**4 + 5*d**3 - 5*d**2 - 6*d = 0.
-3, -2, -1, 0, 1
Factor 2*c**2/3 + 5104*c/3 + 5102/3.
2*(c + 1)*(c + 2551)/3
Let -4*i**5 - 20*i**4 + 28*i**3 + 20*i**2 - 24*i = 0. Calculate i.
-6, -1, 0, 1
Factor s**2/4 - 111*s/2 + 12321/4.
(s - 111)**2/4
Factor 100*n**3 - 8240*n**2 - 13376*n - 5376.
4*(n - 84)*(5*n + 4)**2
Factor -a**5/3 + 17*a**4/3 - 16*a**3/3.
-a**3*(a - 16)*(a - 1)/3
Suppose 16*z**5 - 1156*z**4 + 3648*z**3 - 4168*z**2 + 1936*z - 276 = 0. What is 