 - 37*y.
y*(y - 2)*(y + 37)/2
Determine o, given that -4*o**2 - 244*o - 696 = 0.
-58, -3
Suppose -2*y**3 + 148*y**2 - 678*y - 828 = 0. Calculate y.
-1, 6, 69
Factor -4*y**4 + 72*y**3 - 244*y**2 - 720*y - 400.
-4*(y - 10)**2*(y + 1)**2
Determine n, given that -n**5/2 + 2*n**4/3 + 7*n**3/6 - 2*n**2/3 - 2*n/3 = 0.
-1, -2/3, 0, 1, 2
Find q such that -2*q**5 + 13*q**4 - 9*q**3 - 40*q**2 - 16*q = 0.
-1, -1/2, 0, 4
Factor 2*w**4 + 126*w**3 + 120*w**2 - 248*w.
2*w*(w - 1)*(w + 2)*(w + 62)
Factor 2*f**2/7 + 36*f/7 + 144/7.
2*(f + 6)*(f + 12)/7
Determine z, given that -z**2 + 294*z + 1192 = 0.
-4, 298
Suppose f**4/6 - 4*f**3/3 - 3*f**2/2 = 0. What is f?
-1, 0, 9
Factor -3*r**4/2 - 12*r**3 - 27*r**2 + 81/2.
-3*(r - 1)*(r + 3)**3/2
Determine z, given that -z**2 + 9 = 0.
-3, 3
Solve -2*s**4/7 + 26*s**2/7 + 24*s/7 = 0.
-3, -1, 0, 4
Factor -200*r**3/9 - 40*r**2 + 26*r/3 - 4/9.
-2*(r + 2)*(10*r - 1)**2/9
Determine t so that -2*t**4 + 4*t**3 + 6*t**2 - 8*t - 8 = 0.
-1, 2
Factor b**5/4 - 2*b**4 - 5*b**3/2 + 2*b**2 + 9*b/4.
b*(b - 9)*(b - 1)*(b + 1)**2/4
Factor -2*f**2 - 324*f - 2754.
-2*(f + 9)*(f + 153)
What is r in 2*r**2/5 - 6*r/5 + 4/5 = 0?
1, 2
Factor -k**5/4 + 43*k**4/4 + 46*k**3 + 47*k**2.
-k**2*(k - 47)*(k + 2)**2/4
Factor 2*s**2 + 9*s/2 - 9/2.
(s + 3)*(4*s - 3)/2
Let -y**5 - 6*y**4 + 20*y**3 + 90*y**2 - 19*y - 84 = 0. Calculate y.
-7, -3, -1, 1, 4
Factor 5*n**3 + 475*n**2 - 13560*n + 85680.
5*(n - 12)**2*(n + 119)
Determine d, given that -42483*d**3/4 - 43911*d**2/4 - 360*d - 3 = 0.
-1, -2/119
What is s in 3*s**2/7 - 471*s/7 = 0?
0, 157
What is x in 3*x**5/7 - 3*x**4 - 255*x**3/7 - 555*x**2/7 + 72*x/7 + 108 = 0?
-3, -2, 1, 14
Find g such that g**3/5 + 63*g**2/5 + 192*g - 1024/5 = 0.
-32, 1
Suppose -2*s**3/13 - 2*s**2 + 28*s/13 = 0. What is s?
-14, 0, 1
Determine u, given that -4*u**2 + 444*u - 872 = 0.
2, 109
Find o, given that -8*o**4/9 - 158*o**3/9 - 56*o**2 - 376*o/9 + 128/9 = 0.
-16, -2, 1/4
Factor 2*a**2/11 + 8*a/11 + 8/11.
2*(a + 2)**2/11
Factor 3*g**3/4 + 48*g**2 - 99*g.
3*g*(g - 2)*(g + 66)/4
Determine z so that -2*z**4/17 + 2*z**3/17 + 80*z**2/17 - 224*z/17 = 0.
-7, 0, 4
Factor 4*m**5 + 276*m**4 + 4332*m**3 - 14692*m**2 + 15264*m - 5184.
4*(m - 1)**3*(m + 36)**2
Factor -h**2/7 + 295*h/7 + 594/7.
-(h - 297)*(h + 2)/7
Let 1510*r**3 + 3025*r**2 + 1520*r + 5 = 0. Calculate r.
-1, -1/302
Factor o**2 + 192*o + 9216.
(o + 96)**2
Factor -4*o**4/5 - 12*o**3/5 + 24*o**2/5 + 32*o/5.
-4*o*(o - 2)*(o + 1)*(o + 4)/5
Determine f so that 4*f**5 + 8*f**4 - 8*f**3 - 16*f**2 + 4*f + 8 = 0.
-2, -1, 1
Determine z, given that -z**3/3 + 2*z**2/3 - z/3 = 0.
0, 1
Solve -c**4/4 - 33*c**3/2 - 363*c**2 - 2662*c = 0.
-22, 0
Factor 3*x**3/8 - 21*x**2/4 - 51*x/2 - 27.
3*(x - 18)*(x + 2)**2/8
Find p, given that 4*p**4/5 - 2*p**3 - 168*p**2/5 - 74*p/5 + 16 = 0.
-5, -1, 1/2, 8
Suppose 5*a**3 + 520*a**2 + 7625*a - 334890 = 0. What is a?
-61, 18
Suppose -3*w**5/8 - 93*w**4/8 - 885*w**3/8 - 1827*w**2/8 + 837*w - 486 = 0. What is w?
-12, -9, 1
Determine j so that -j**3/7 - 15*j**2/7 - 23*j/7 + 39/7 = 0.
-13, -3, 1
Suppose 5*v**3 - 215*v**2 = 0. What is v?
0, 43
Factor -9*u**4 + 200*u**3 - 1304*u**2 + 2080*u - 400.
-(u - 10)**2*(u - 2)*(9*u - 2)
Factor 2*o**3 + 690*o**2/7 - 176*o - 408/7.
2*(o - 2)*(o + 51)*(7*o + 2)/7
Factor 3*g**2 + 384*g + 12288.
3*(g + 64)**2
Find s, given that 2*s**2/7 + 130*s/7 + 128/7 = 0.
-64, -1
Factor 28*f**4 + 272*f**3 + 704*f**2 + 448*f - 192.
4*(f + 2)**2*(f + 6)*(7*f - 2)
What is p in -475*p**2/6 - 44*p/3 - 2/3 = 0?
-2/19, -2/25
Factor -4*f**5/5 + 4*f**4/5 + 8*f**3/5.
-4*f**3*(f - 2)*(f + 1)/5
Factor 361*v**2/10 + 399*v/5 + 441/10.
(19*v + 21)**2/10
Factor 3*w**4/4.
3*w**4/4
Factor f**4/3 + 2*f**3 + 8*f**2/3.
f**2*(f + 2)*(f + 4)/3
Solve -3*j**3/4 + 12*j**2 - 45*j/4 = 0.
0, 1, 15
Factor 5*w**3 - 180*w**2 + 2025*w - 6750.
5*(w - 15)**2*(w - 6)
Factor -k**2 + 397*k - 396.
-(k - 396)*(k - 1)
Solve -f**4/5 + 17*f**3/5 - 42*f**2/5 - 52*f - 40 = 0.
-2, -1, 10
Let 10*m**5 - 22*m**4 + 28*m**3/5 + 92*m**2/5 - 78*m/5 + 18/5 = 0. Calculate m.
-1, 3/5, 1
Find o, given that 35*o**4 - 80*o**3 + 55*o**2 - 10*o = 0.
0, 2/7, 1
Factor 2*c**3 + 8*c**2 + 2*c - 12.
2*(c - 1)*(c + 2)*(c + 3)
Let w**4/2 + 19*w**3/2 + 125*w**2/2 + 329*w/2 + 147 = 0. What is w?
-7, -3, -2
Solve 7*y**2/2 - 23*y/2 + 3 = 0.
2/7, 3
What is f in -4*f**5 - 28*f**4 - 52*f**3 + 12*f**2 + 72*f = 0?
-3, -2, 0, 1
Let -2*x**4 + 176*x**3 - 3690*x**2 - 8100*x = 0. Calculate x.
-2, 0, 45
Find l such that 8*l**4 + 84*l**3 + 116*l**2 - 336*l + 128 = 0.
-8, -4, 1/2, 1
Factor -3*x**3 - 702*x**2 - 2772*x - 2760.
-3*(x + 2)**2*(x + 230)
Factor w**5 + 27*w**4 + 115*w**3 - 291*w**2 - 1160*w + 2100.
(w - 2)**2*(w + 5)**2*(w + 21)
Factor -y**5/2 + 7*y**4 - 73*y**3/2 + 86*y**2 - 88*y + 32.
-(y - 4)**3*(y - 1)**2/2
Factor -m**3 + 13*m**2 - 12*m.
-m*(m - 12)*(m - 1)
Factor -3*z**3/5 + 171*z**2/5 - 504*z + 2352/5.
-3*(z - 28)**2*(z - 1)/5
Suppose -50*p**5 - 465*p**4/2 - 385*p**3 - 565*p**2/2 - 90*p - 10 = 0. Calculate p.
-2, -1, -2/5, -1/4
Let 2*l**2/21 + 1880*l/21 - 1882/21 = 0. Calculate l.
-941, 1
Suppose -4*r**4 + 3*r**3 + 21*r**2 + 17*r + 3 = 0. What is r?
-1, -1/4, 3
Suppose -4*v**4 + 12*v**3 - 8*v**2 = 0. What is v?
0, 1, 2
Suppose -5*x**2 - 40*x = 0. Calculate x.
-8, 0
Factor -g**2/2 - 27*g/2.
-g*(g + 27)/2
What is u in 3*u**2 - 156*u + 705 = 0?
5, 47
Find x, given that 99*x**3/7 + 192*x**2/7 - 12*x/7 = 0.
-2, 0, 2/33
Find k such that -k**5/2 - 2*k**4 - k**3 + 2*k**2 + 3*k/2 = 0.
-3, -1, 0, 1
Factor -2*h**4 + 26*h**3 - 24*h**2.
-2*h**2*(h - 12)*(h - 1)
Solve 5202*t**2/11 - 408*t/11 + 8/11 = 0 for t.
2/51
Determine o so that 15*o**5 + 144*o**4 + 180*o**3 - 96*o**2 = 0.
-8, -2, 0, 2/5
Solve 2*g**4 + 1776*g**3 - 6*g**2 - 5324*g + 3552 = 0 for g.
-888, -2, 1
What is n in 9*n**4 - 879*n**3 - 3003*n**2 - 2721*n - 606 = 0?
-2, -1, -1/3, 101
Determine m, given that m**4 + m**3 - 14*m**2 - 24*m = 0.
-3, -2, 0, 4
Find f such that 4*f**2 + 16*f + 16 = 0.
-2
What is h in h**3/2 + 92*h**2 - 371*h/2 + 93 = 0?
-186, 1
Find z such that -8*z**5/5 - 4*z**4/5 + 12*z**3/5 = 0.
-3/2, 0, 1
Solve -2*w**4/9 + 376*w**3/9 - 1844*w**2/9 + 856*w/3 - 122 = 0 for w.
1, 3, 183
Find g, given that g**5/2 - 31*g**4 + 539*g**3 - 1828*g**2 + 4321*g/2 - 841 = 0.
1, 2, 29
Solve -2*r**3/11 + 52*r**2/11 - 166*r/11 - 20 = 0 for r.
-1, 5, 22
Determine f, given that -18*f**5 - 40*f**4 - 26*f**3 - 4*f**2 = 0.
-1, -2/9, 0
What is v in 3*v**5 + 21*v**4 + 42*v**3 + 24*v**2 = 0?
-4, -2, -1, 0
Factor l**5 - 5*l**4 + 3*l**3 + 5*l**2 - 4*l.
l*(l - 4)*(l - 1)**2*(l + 1)
Solve -w**4/4 - 23*w**3/4 - 85*w**2/2 - 109*w - 90 = 0.
-10, -9, -2
Factor -4*x**5 - 620*x**4 + 624*x**3.
-4*x**3*(x - 1)*(x + 156)
Determine y so that y**2/8 - 39*y/8 + 27/2 = 0.
3, 36
Suppose -3*w**4 - 57*w**3 - 219*w**2 - 99*w + 378 = 0. What is w?
-14, -3, 1
Factor 9*r**3/11 - 69*r**2/11 + 43*r/11 - 7/11.
(r - 7)*(3*r - 1)**2/11
Factor 5*l**2 - 560*l + 15680.
5*(l - 56)**2
What is a in -2*a**4/3 - 62*a**3/3 - 470*a**2/3 - 350*a = 0?
-21, -5, 0
Suppose o**5/5 + o**4/5 - 3*o**3 + 23*o**2/5 - 2*o = 0. Calculate o.
-5, 0, 1, 2
Let 5*d**2/9 + 29*d/3 + 34/9 = 0. Calculate d.
-17, -2/5
What is k in 3*k**2/8 + 57*k/8 - 15/2 = 0?
-20, 1
Find c such that 32*c**5/7 + 16*c**4 + 50*c**3/7 - 122*c**2/7 - 64*c/7 - 8/7 = 0.
-2, -1/4, 1
Solve 4*n**5 - 1576*n**4 + 156800*n**3 - 307328*n**2 = 0.
0, 2, 196
Factor 4*g**2 - 1120*g + 78400.
4*(g - 140)**2
Factor -3*s**2 + 18*s - 24.
-3*(s - 4)*(s - 2)
Factor s**2 + 19*s + 18.
(s + 1)*(s + 18)
What is g in g**3/2 - 25*g**2/2 - 53*g/2 - 27/2 = 0?
-1, 27
Let -4*a**5 + 828*a**4 - 43260*a**3 + 42436*a**2 = 0. What is a?
0, 1, 103
Factor 3*n**2/2 - 39*n/2 + 63.
3*(n - 7)*(n - 6)/2
Factor -5*p**3 - 20*p**2 - 15*p.
-5*p*(p + 1)*(p + 3)
Solve -o**2 - 67*o - 130 = 0 for o.
-65, -2
Determine w, given that -4*w**2 - 2184*w - 298116 = 0.
-273
Let 5*n**2 + 2300*n + 264500 = 0. What is n?
-230
Let -9*i**4/2 + 69*i**3/4 - 27*i**2/4 - 69*i/4 + 45/4 = 0. What is i?
-1, 5/6, 1, 3
Suppose -8*h**5 + 32*h**4 - 18*h**3 - 50*h**2 + 32*h + 24 = 0. What is h?
-1, -1/2, 3/2, 2
Factor -4*a**4 - 40*a**3 + 204*a**2 - 272*a + 112.
-4*(a - 2)*(a - 1)**2*(a + 14)
Solve h**2/10 + 197*h/5 + 38809/10 = 0.
-197
Find r such that 3*r**4 - 6*r**3 - 12*r**2 + 6*r + 9 = 0.
-1, 1, 3
Find z such that -2*z