 n**4/2 - 199*n**3/2.
n**3*(n - 199)/2
Determine u so that 3*u**3/4 - 24*u**2 + 45*u = 0.
0, 2, 30
Solve -2*v**3/7 + 20*v**2/7 - 34*v/7 + 16/7 = 0 for v.
1, 8
Find g such that -5*g**5/4 + 5*g**4/4 + 15*g**3 - 20*g**2 - 40*g + 60 = 0.
-3, -2, 2
Find x such that -21*x**5/2 - 24*x**4 + 177*x**3/2 + 48*x**2 - 78*x - 24 = 0.
-4, -1, -2/7, 1, 2
Solve -4*q**4 + 25264*q**3 - 59837784*q**2 + 62989240624*q - 24865002736324 = 0.
1579
What is h in 375*h**4/4 - 375*h**3/2 - 1005*h**2/4 - 87*h - 9 = 0?
-2/5, -1/5, 3
Solve -j**4/4 + j**3/2 - j**2/4 = 0.
0, 1
Determine n so that n**5/4 - n**3/2 + n/4 = 0.
-1, 0, 1
Suppose -4*c**2 - 368*c = 0. What is c?
-92, 0
Factor -z**4 + 11*z**3 - 14*z**2 - 44*z + 72.
-(z - 9)*(z - 2)**2*(z + 2)
Suppose 14*u**3 + 6696*u**2 + 801606*u + 228484 = 0. Calculate u.
-239, -2/7
Solve -5*l**4/4 + 175*l**3/4 - 245*l**2/2 + 80*l = 0 for l.
0, 1, 2, 32
Factor -5*z**2 + 810*z - 32805.
-5*(z - 81)**2
Factor 18*c**4 + 292*c**3 + 1576*c**2 + 2928*c + 576.
2*(c + 4)*(c + 6)**2*(9*c + 2)
Factor -8*n**2 + 52*n + 28.
-4*(n - 7)*(2*n + 1)
Let -w**2/5 + 34*w/5 + 7 = 0. Calculate w.
-1, 35
Find v such that -245*v**5 - 868*v**4 - 948*v**3 - 416*v**2 - 64*v = 0.
-2, -4/7, -2/5, 0
Determine z, given that 2*z**4/11 - 14*z**2/11 - 12*z/11 = 0.
-2, -1, 0, 3
Factor -3*c**3/7 - 942*c**2/7 - 3729*c/7 - 2790/7.
-3*(c + 1)*(c + 3)*(c + 310)/7
Suppose -4*p**2/5 - 4248*p/5 + 4252/5 = 0. Calculate p.
-1063, 1
Factor -2*v**3/5 - 6*v**2/5 + 48*v/5 + 32.
-2*(v - 5)*(v + 4)**2/5
Solve -8*v**4/5 + 12*v**3/5 + 36*v**2/5 + 4*v/5 - 12/5 = 0 for v.
-1, 1/2, 3
Solve 5*n**2 + 230*n + 2645 = 0.
-23
Factor -3*d**4 + 396*d**3 - 17802*d**2 + 288444*d - 715563.
-3*(d - 43)**3*(d - 3)
Factor -2*f**4 - 156*f**3 + 318*f**2 - 160*f.
-2*f*(f - 1)**2*(f + 80)
Determine r so that -r**4/8 + 3*r**3/8 + 9*r**2/8 - 23*r/8 + 3/2 = 0.
-3, 1, 4
Factor -l**2 - 31*l.
-l*(l + 31)
Suppose 2*b**2/9 - 206*b/9 + 404/9 = 0. What is b?
2, 101
Factor -1250*z**5/13 + 3500*z**4/13 - 3600*z**3/13 + 1600*z**2/13 - 256*z/13.
-2*z*(5*z - 4)**3*(5*z - 2)/13
Suppose -b**5/5 - 4*b**4/5 + b**3/5 + 4*b**2/5 = 0. What is b?
-4, -1, 0, 1
Determine n so that n**5 - 4*n**4 - 129*n**3 - 524*n**2 - 304*n + 960 = 0.
-4, 1, 15
Factor -4*m**5 - 28*m**4 + 216*m**3 - 304*m**2 - 160*m + 384.
-4*(m - 2)**3*(m + 1)*(m + 12)
Factor 2*b**4/17 - 12*b**2/17 + 16*b/17 - 6/17.
2*(b - 1)**3*(b + 3)/17
Factor -36*l**4 + 208*l**3 - 276*l**2 - 72*l.
-4*l*(l - 3)**2*(9*l + 2)
Factor -m**3/5 - 9*m**2/5 + 1701*m/5 + 6561.
-(m - 45)*(m + 27)**2/5
Solve -h**5/9 + 271*h**4/9 - 18494*h**3/9 + 17954*h**2/9 + 2055*h - 2025 = 0 for h.
-1, 1, 135
Suppose 10*u**4/9 - 26*u**3/9 + 4*u**2/3 = 0. Calculate u.
0, 3/5, 2
Solve -2*m**4/9 - 2*m**3/9 + 4*m**2 + 104*m/9 + 80/9 = 0 for m.
-2, 5
Factor 4*m**3/3 + m**2/6 - 4*m/3 - 1/6.
(m - 1)*(m + 1)*(8*m + 1)/6
Determine a so that -6*a**2 + 182*a + 124 = 0.
-2/3, 31
Factor 3*g**3 - 177*g**2 + 510*g - 336.
3*(g - 56)*(g - 2)*(g - 1)
Factor -r**3/5 - 493*r**2/5 + 989*r/5 - 99.
-(r - 1)**2*(r + 495)/5
Determine t so that 5*t**3/4 + 105*t**2/4 + 45*t/2 - 50 = 0.
-20, -2, 1
Factor -3*m**4 + 15*m**3 - 21*m**2 + 9*m.
-3*m*(m - 3)*(m - 1)**2
Factor 3*z**5 - 486*z**4 + 26241*z**3 - 471906*z**2 - 26244*z + 472392.
3*(z - 54)**3*(z - 1)*(z + 1)
Factor -3*s**2 - 4341*s + 4344.
-3*(s - 1)*(s + 1448)
Factor 2*q**3 - 12*q**2 + 18*q - 8.
2*(q - 4)*(q - 1)**2
Factor 16*g**3 - 460*g**2 + 1804*g + 480.
4*(g - 24)*(g - 5)*(4*g + 1)
Factor -2*n**4/11 - 8*n**3/11 - 8*n**2/11.
-2*n**2*(n + 2)**2/11
Suppose -2*j**4 + 132*j**3 + 138*j**2 - 268*j = 0. What is j?
-2, 0, 1, 67
Factor -w**3/8 - 247*w**2/4 + 991*w/8 - 62.
-(w - 1)**2*(w + 496)/8
Find n, given that 4*n**2 + 536*n = 0.
-134, 0
Find z, given that -3*z**3 + 180*z**2 - 2700*z = 0.
0, 30
What is v in v**3 + 16*v**2 + 80*v + 128 = 0?
-8, -4
Let 2*k**4/15 - 26*k**3/3 + 354*k**2/5 - 1026*k/5 + 1008/5 = 0. What is k?
3, 56
Factor 292*k**3/3 + 1160*k**2/3 - 1492*k/3 + 40/3.
4*(k - 1)*(k + 5)*(73*k - 2)/3
Let -t**4/6 + 3*t**3/2 - 3*t**2 = 0. What is t?
0, 3, 6
Suppose -c**2 - 8*c - 15 = 0. Calculate c.
-5, -3
Find y such that 25*y**5 + 435*y**4 + 70*y**3 - 1740*y**2 - 680*y = 0.
-17, -2, -2/5, 0, 2
Determine f so that 2*f**3/3 - 50*f**2/3 + 82*f - 114 = 0.
3, 19
Factor -w**2/9 + 479*w/9.
-w*(w - 479)/9
Suppose 9*y**4/2 + 2319*y**3/2 - 779*y**2/2 - 1291*y/2 - 129 = 0. What is y?
-258, -1/3, 1
Factor -2*p**3/3 + 1274*p**2/3 + 2554*p/3 + 426.
-2*(p - 639)*(p + 1)**2/3
Solve -2*q**4 + 22*q**3 + 24*q**2 = 0 for q.
-1, 0, 12
Let i**3/6 + 29*i**2/6 + 80*i/3 - 128 = 0. What is i?
-16, 3
Factor -m**2 + 56*m + 57.
-(m - 57)*(m + 1)
Solve 5*i**3 - 30*i**2 - 75*i + 500 = 0 for i.
-4, 5
Let y**4/3 + 10*y**3/3 + 29*y**2/3 + 32*y/3 + 4 = 0. Calculate y.
-6, -2, -1
Suppose -v**4 - 62*v**3 + 195*v**2 = 0. What is v?
-65, 0, 3
Factor -5*w**4 + 50*w**3 + 115*w**2 + 60*w.
-5*w*(w - 12)*(w + 1)**2
Determine g so that -5*g**2 - 235*g + 10500 = 0.
-75, 28
Suppose -d**2 + 6*d + 7 = 0. Calculate d.
-1, 7
Factor -20*k**2 - 588*k - 232.
-4*(k + 29)*(5*k + 2)
Suppose 2*h**3/3 + 8*h**2 + 58*h/3 - 28 = 0. What is h?
-7, -6, 1
Factor 2*w**4 + 32*w**3 + 18*w**2 - 180*w.
2*w*(w - 2)*(w + 3)*(w + 15)
Find j, given that -3*j**4 + 18*j**3 - 39*j**2 + 36*j - 12 = 0.
1, 2
Suppose 4*c**4 - 244*c**3 + 1316*c**2 + 244*c - 1320 = 0. Calculate c.
-1, 1, 6, 55
Factor -2*m**2/17 - 28*m/17 + 702/17.
-2*(m - 13)*(m + 27)/17
Let -5*c**2 + 65*c = 0. What is c?
0, 13
Factor 4*m**3 + 60*m**2 - 232*m - 288.
4*(m - 4)*(m + 1)*(m + 18)
Factor -x**2/6 - 4*x/3 - 8/3.
-(x + 4)**2/6
Suppose 45*s**4 - 370*s**3 + 80*s**2 = 0. What is s?
0, 2/9, 8
Let -36*r**2 - 75*r - 6 = 0. What is r?
-2, -1/12
Factor -o**2/6 - 5*o/2 + 17/3.
-(o - 2)*(o + 17)/6
Factor -5*c**2 - 800*c - 32000.
-5*(c + 80)**2
What is r in 4*r**4 - 34*r**3/3 - 26*r**2 + 28*r + 16/3 = 0?
-2, -1/6, 1, 4
Determine f, given that 27*f**3 + 21*f**2 - 17*f/3 + 1/3 = 0.
-1, 1/9
Factor q**3/10 + 221*q**2/10 - 67*q + 224/5.
(q - 2)*(q - 1)*(q + 224)/10
Let 5*f**5/12 + f**4/2 - f**3/3 - f**2/2 - f/12 = 0. What is f?
-1, -1/5, 0, 1
Find v such that v**3/2 + 34*v**2 - 139*v/2 + 35 = 0.
-70, 1
Determine g so that -30*g**5 - 128*g**4 + 306*g**3 - 60*g**2 - 136*g + 48 = 0.
-6, -2/3, 2/5, 1
Factor 4*b**3 + 4*b**2 - 4*b - 4.
4*(b - 1)*(b + 1)**2
What is h in -4*h**3 - 444*h**2 + 904*h = 0?
-113, 0, 2
Determine q, given that -4*q**2/3 - 224*q/3 - 220/3 = 0.
-55, -1
Factor -z**5/4 - z**4/2 + z**3 + 2*z**2.
-z**2*(z - 2)*(z + 2)**2/4
Find j such that 2688*j**5 + 7968*j**4 + 1914*j**3 - 5985*j**2 + 1350*j = 0.
-15/8, 0, 2/7, 1/2
Suppose -s**2 + 5*s/2 - 1 = 0. Calculate s.
1/2, 2
What is l in 8*l**5 - 50*l**4 + 100*l**3 - 70*l**2 + 12*l = 0?
0, 1/4, 1, 2, 3
Factor -z**5/3 - 34*z**4/3 + 71*z**3/3 - 12*z**2.
-z**2*(z - 1)**2*(z + 36)/3
Suppose -2*t**4/11 - 296*t**3/11 - 11526*t**2/11 - 42336*t/11 - 31104/11 = 0. Calculate t.
-72, -3, -1
Factor x**4/4 + 9*x**3/2 + 33*x**2/4 + 4*x.
x*(x + 1)**2*(x + 16)/4
Find c such that 2*c**2/5 + 164*c/5 + 3362/5 = 0.
-41
Suppose r**3/8 - 289*r**2/8 + 22879*r/8 - 281535/8 = 0. Calculate r.
15, 137
Factor u**3 + 45*u**2 + 44*u.
u*(u + 1)*(u + 44)
Suppose 5*m**2 + 4330*m + 937445 = 0. Calculate m.
-433
What is r in 5*r**3 - 40*r**2 + 45*r + 90 = 0?
-1, 3, 6
Solve 9*d**3 + 3*d**2 - 9*d - 3 = 0.
-1, -1/3, 1
Factor o**2/3 - 2740*o/3 + 913.
(o - 2739)*(o - 1)/3
Factor -3*j**4 - 24*j**3 + 81*j**2 + 222*j + 120.
-3*(j - 4)*(j + 1)**2*(j + 10)
Factor -l**3 + 8633*l**2 - 18627855*l - 18636489.
-(l - 4317)**2*(l + 1)
Factor 21*k**3 + 141*k**2 + 210*k - 72.
3*(k + 3)*(k + 4)*(7*k - 2)
Factor 11*h**3 + 26*h**2 - 127*h + 90.
(h - 1)*(h + 5)*(11*h - 18)
Factor -36977925*f**3 + 1685070*f**2 - 25596*f + 648/5.
-3*(395*f - 6)**3/5
Let 4*s**5/7 + 4*s**4/7 - 76*s**3/7 - 4*s**2/7 + 360*s/7 - 288/7 = 0. What is s?
-4, -3, 1, 2, 3
Solve 5*n**3 - 1085*n**2 - 11225*n - 28375 = 0 for n.
-5, 227
What is r in -8*r**4 - 132*r**3 + 364*r**2 - 300*r + 76 = 0?
-19, 1/2, 1
Factor -d**4 + 6*d**3 - 5*d**2.
-d**2*(d - 5)*(d - 1)
What is q in -3*q**2/4 + 21*q + 45 = 0?
-2, 30
Solve -134*k**2/3 + 476*k/3 + 80 = 0.
-30/67, 4
Suppose -2495*f**2 + 2492*f + 3 = 0. Calculate f.
-3/2495, 1
Solve h**2/4 - 2*h + 7/4 = 0.
1, 7
Suppose -6*b**4/5 + 8*b**3/5 + 178*b**2/5 - 12*b = 0. Calculate b.
-5, 0, 1/3