/15 - 8*f**3/3 = 0. Calculate f.
0, 20
What is l in -27*l**5 + 438*l**4 - 879*l**3 + 552*l**2 - 84*l = 0?
0, 2/9, 1, 14
Solve -i**3/2 + 47*i**2/2 - 91*i/2 + 45/2 = 0.
1, 45
Factor -l**3 - 734*l**2 + 2209*l - 1474.
-(l - 2)*(l - 1)*(l + 737)
Let -s**2/3 + 11*s = 0. Calculate s.
0, 33
Let -4*d**2 - 28*d - 24 = 0. What is d?
-6, -1
Determine g, given that -27*g**3 + 249*g**2 - 54*g = 0.
0, 2/9, 9
Factor 5*n**2 - 2950*n + 2945.
5*(n - 589)*(n - 1)
What is b in 2*b**4 + 14*b**3 + 34*b**2 + 34*b + 12 = 0?
-3, -2, -1
Factor -26*f**3/9 + 212*f**2/9 - 448*f/9 + 64/9.
-2*(f - 4)**2*(13*f - 2)/9
Suppose -16*a**5 + 52*a**4 + 132*a**3 + 44*a**2 - 20*a = 0. What is a?
-1, 0, 1/4, 5
Suppose 16*k**2/7 - 148*k/7 = 0. What is k?
0, 37/4
Factor 2*l**2 - 864*l + 93312.
2*(l - 216)**2
Determine p so that -4*p**2 + 220*p + 224 = 0.
-1, 56
Find n, given that 70*n**2 + 6175*n + 1320 = 0.
-88, -3/14
Let 2*p**4/5 - 4*p**3/5 - 6*p**2/5 + 8*p/5 + 8/5 = 0. What is p?
-1, 2
Factor -t**2/5 - 912*t/5 - 911/5.
-(t + 1)*(t + 911)/5
Determine a, given that 3*a**5 - 606*a**4 + 31200*a**3 - 60000*a**2 = 0.
0, 2, 100
Factor -2*c**3 + 34*c**2 - 54*c - 90.
-2*(c - 15)*(c - 3)*(c + 1)
Find p such that 3*p**4/5 - 6*p**3 - 384*p**2/5 - 864*p/5 = 0.
-4, 0, 18
Factor 2*b**4 - 26*b**3 - 1406*b**2 + 2882*b - 1452.
2*(b - 33)*(b - 1)**2*(b + 22)
Let -98*b**4 - 560*b**3 - 800*b**2 = 0. Calculate b.
-20/7, 0
Determine a, given that -a**4 + 6*a**3 - 11*a**2 + 6*a = 0.
0, 1, 2, 3
Let -5*s**2/6 - 295*s/3 - 17405/6 = 0. What is s?
-59
Suppose 2*k**4/11 - 20*k**2/11 + 18/11 = 0. What is k?
-3, -1, 1, 3
Factor j**3/5 - 14*j**2/5 + 13*j/5.
j*(j - 13)*(j - 1)/5
Solve n**2 + 130*n + 4225 = 0 for n.
-65
Solve -28*v**5/9 + 142*v**4/9 - 50*v**3/3 - 130*v**2/9 + 178*v/9 - 4/3 = 0 for v.
-1, 1/14, 1, 2, 3
Solve 48*f**3 + 2188*f**2 + 3360*f + 704 = 0 for f.
-44, -4/3, -1/4
Let 5*z**2 - 115*z - 2340 = 0. Calculate z.
-13, 36
Suppose -108*t**5/7 + 1728*t**4/7 - 8784*t**3/7 + 20120*t**2/7 - 3100*t + 9000/7 = 0. Calculate t.
5/3, 2, 9
Find i such that -28*i**4 - 36*i**3 + 48*i**2 + 16*i = 0.
-2, -2/7, 0, 1
Let -g**3 - 2*g**2 = 0. Calculate g.
-2, 0
Factor j**4 - 114*j**3 + 3249*j**2.
j**2*(j - 57)**2
Let -3*y**4/2 - 9*y**3 - 18*y**2 - 12*y = 0. What is y?
-2, 0
Find c, given that -2*c**3 - 10*c**2/3 + 32*c/3 + 8 = 0.
-3, -2/3, 2
Solve 4*g**4 - 116*g**3 + 996*g**2 - 2236*g + 1352 = 0.
1, 2, 13
Factor 5*f**2 - 11450*f.
5*f*(f - 2290)
Suppose -762*s**2 + 1503*s + 42 = 0. What is s?
-7/254, 2
Factor v**3/7 - 8*v**2/7.
v**2*(v - 8)/7
Suppose -2*p**4/9 + 4*p**3/3 - 10*p**2/9 = 0. What is p?
0, 1, 5
Find p such that 6*p**2 - 32*p + 10 = 0.
1/3, 5
Find s such that -5*s**2 + 145*s + 150 = 0.
-1, 30
What is c in -2*c**4/5 - 24*c**3/5 - 12*c**2 - 56*c/5 - 18/5 = 0?
-9, -1
Factor 3*i**4 - 78*i**3 + 672*i**2 - 2370*i + 2925.
3*(i - 13)*(i - 5)**2*(i - 3)
Factor -96*t**3/5 + 1538*t**2/5 - 32*t/5.
-2*t*(t - 16)*(48*t - 1)/5
Factor 4*s**5 - 56*s**4 + 96*s**3 + 8*s**2 - 100*s + 48.
4*(s - 12)*(s - 1)**3*(s + 1)
Factor 9*d**4 + 1770*d**3 + 85837*d**2 - 116820*d + 39204.
(d + 99)**2*(3*d - 2)**2
Factor d**3 - 2*d**2 - 39*d - 72.
(d - 8)*(d + 3)**2
Let 5*h**5/6 - 25*h**4/3 + 70*h**3/3 - 20*h**2 = 0. Calculate h.
0, 2, 6
Suppose 9*p**5/2 + 25*p**4/2 + 21*p**3/2 + 3*p**2/2 - p = 0. Calculate p.
-1, 0, 2/9
Factor z**3/5 + 2*z**2 + 27*z/5 + 18/5.
(z + 1)*(z + 3)*(z + 6)/5
Suppose u**2/3 - u/3 - 30 = 0. Calculate u.
-9, 10
Factor -o**4 - 4*o**3 - o**2 + 6*o.
-o*(o - 1)*(o + 2)*(o + 3)
Solve -2*h**5/9 + 260*h**4/9 + 88*h**3/3 - 260*h**2/9 - 262*h/9 = 0 for h.
-1, 0, 1, 131
Suppose 2*s**2/11 - 328*s/11 + 326/11 = 0. What is s?
1, 163
Suppose -5*w**5/2 - 60*w**4 + 405*w**3/2 - 10*w**2 - 270*w = 0. Calculate w.
-27, -1, 0, 2
Suppose -2*n**4/7 - 10*n**3/7 - 12*n**2/7 + 8*n/7 + 16/7 = 0. Calculate n.
-2, 1
Find o, given that 2*o**5/3 - 4*o**4/3 + 4*o**2/3 - 2*o/3 = 0.
-1, 0, 1
Solve -2*c**2 - 10016*c + 10018 = 0 for c.
-5009, 1
Solve t**2 + 7*t + 10 = 0.
-5, -2
Factor -3*n**4 + 492*n**3 + 1494*n**2 + 1500*n + 501.
-3*(n - 167)*(n + 1)**3
Find q such that 18*q**4/11 + 482*q**3/11 + 3402*q**2/11 + 2262*q/11 - 676/11 = 0.
-13, -1, 2/9
Factor 4*k**3 + 964*k**2 + 57596*k - 58564.
4*(k - 1)*(k + 121)**2
Solve -3*y**2/4 - 1473*y/2 - 723243/4 = 0 for y.
-491
What is l in 2*l**5/15 - 44*l**4/15 + 56*l**3/5 + 44*l**2/15 - 34*l/3 = 0?
-1, 0, 1, 5, 17
Factor w**4/8 - 9*w**3/8 - w**2/8 + 9*w/8.
w*(w - 9)*(w - 1)*(w + 1)/8
Determine r so that -4*r**2 - 36*r + 88 = 0.
-11, 2
Determine w, given that -2*w**5/5 + 38*w**4/15 - 14*w**3/5 + 2*w**2/3 = 0.
0, 1/3, 1, 5
Let -2*c**3/7 - 26*c**2 + 564*c/7 = 0. What is c?
-94, 0, 3
Suppose -z**2/3 - 425*z - 2546/3 = 0. What is z?
-1273, -2
Find z such that -z**5 - 13*z**4/3 + 46*z**3/3 + 28*z**2 - 24*z = 0.
-6, -2, 0, 2/3, 3
Let -2*d**2/5 - 92*d/5 = 0. Calculate d.
-46, 0
Factor 4*c**2/3 + 356*c/3.
4*c*(c + 89)/3
Determine b so that b**3/4 + 105*b**2/4 - 213*b/4 + 107/4 = 0.
-107, 1
Factor -4*j**3 - 5022*j**2 - 1575024*j + 788768.
-2*(j + 628)**2*(2*j - 1)
Suppose -c**3/8 - 43*c**2/8 + 89*c/8 - 45/8 = 0. What is c?
-45, 1
Let -3*s**2 - 87*s - 162 = 0. Calculate s.
-27, -2
Factor 2*q**3 + 431*q**2/2 - 54*q.
q*(q + 108)*(4*q - 1)/2
Factor -x**3/5 + 7*x/5 + 6/5.
-(x - 3)*(x + 1)*(x + 2)/5
Factor -9*c**3 + 15*c**2 - 7*c + 1.
-(c - 1)*(3*c - 1)**2
Solve 1200*d**4 - 2040*d**3 + 507*d**2 + 306*d + 27 = 0 for d.
-3/20, 1
Determine y, given that -2*y**4/5 - 62*y**3/5 - 62*y**2 - 50*y = 0.
-25, -5, -1, 0
Determine q so that 4*q**3/7 - 60*q**2 + 2100*q - 24500 = 0.
35
Let -2*b**3 + 86*b**2 - 244*b + 160 = 0. What is b?
1, 2, 40
Factor 5*c**4 - 135*c**3 - 305*c**2 + 435*c.
5*c*(c - 29)*(c - 1)*(c + 3)
Factor -3*s**2/5 - 53*s/5 - 24.
-(s + 15)*(3*s + 8)/5
Find c such that 4*c**2 - 14864*c + 13808656 = 0.
1858
Determine u, given that -2*u**3 + 36*u**2 - 192*u + 256 = 0.
2, 8
Solve -4*o**4 - 18*o**3 + 18*o**2 + 92*o - 48 = 0.
-4, -3, 1/2, 2
Determine g so that 10*g**5/3 - 15166*g**4/3 + 5754712*g**3/3 - 3411008*g**2/3 - 13777408*g/3 - 4596512/3 = 0.
-1, -2/5, 2, 758
Solve -4*j**4 + 16*j**3 - 8*j**2 - 16*j + 12 = 0.
-1, 1, 3
Solve 3*g**2/2 + 99*g/2 + 48 = 0.
-32, -1
Suppose -p**5/8 - 21*p**4/8 - 41*p**3/8 + 249*p**2/8 + 135*p/4 = 0. What is p?
-18, -5, -1, 0, 3
Let 8*r**5/7 - 18*r**4/7 - 4*r**3/7 + 18*r**2/7 - 4*r/7 = 0. What is r?
-1, 0, 1/4, 1, 2
Suppose -i**5/2 + 3*i**4/2 + 37*i**3/2 + 29*i**2/2 - 18*i - 16 = 0. What is i?
-4, -1, 1, 8
What is r in r**4/2 - 7*r**3/2 + 5*r**2 = 0?
0, 2, 5
Determine c, given that -5*c**4/2 + 295*c**3 + 1220*c**2 = 0.
-4, 0, 122
Find b, given that 2*b**2/3 + 614*b/3 = 0.
-307, 0
Factor -5*i**4 + 1725*i**3 + 5*i**2 - 1725*i.
-5*i*(i - 345)*(i - 1)*(i + 1)
Factor r**5/5 - 12*r**4/5 + 36*r**3/5 + 32*r**2/5 - 192*r/5.
r*(r - 6)*(r - 4)**2*(r + 2)/5
Factor -125*i**5/3 + 50*i**4/3 + 235*i**3/3 - 116*i**2/3 - 112*i/3 + 64/3.
-(i + 1)**2*(5*i - 4)**3/3
Factor -16*f**5/3 - 64*f**4/3 - 52*f**3/3 - 4*f**2.
-4*f**2*(f + 3)*(2*f + 1)**2/3
Solve 34*y**2/9 - 10*y/3 - 4/9 = 0.
-2/17, 1
Find n such that 3*n**3/2 - 1929*n**2/2 + 318585*n/2 - 2713203/2 = 0.
9, 317
Suppose -15*n**5 - 171*n**4 + 1044*n**3 - 996*n**2 - 576*n = 0. What is n?
-16, -2/5, 0, 2, 3
Solve -k**4 - 5*k**3 + 6*k**2 = 0.
-6, 0, 1
Suppose l**2 - 2060*l/3 - 229 = 0. What is l?
-1/3, 687
Determine m so that 3*m**4 + 18*m**3 - 21*m**2 = 0.
-7, 0, 1
Find t, given that -18*t**2 + 1870*t + 208 = 0.
-1/9, 104
Factor n**5/6 - 3*n**4/2 + n**3 + 8*n**2/3.
n**2*(n - 8)*(n - 2)*(n + 1)/6
Factor -a**4 - 102*a**3 - 1237*a**2 + 69564*a - 465124.
-(a - 11)**2*(a + 62)**2
Factor -2*j**4 - 322*j**3 - 16830*j**2 - 260150*j + 1331000.
-2*(j - 4)*(j + 55)**3
Determine r, given that -3*r**4/8 - 27*r**3/8 - 45*r**2/4 - 33*r/2 - 9 = 0.
-3, -2
Determine m so that 6*m**3/13 + 664*m**2/13 - 894*m/13 + 224/13 = 0.
-112, 1/3, 1
Factor a**4 + 66*a**3 + 64*a**2 - 66*a - 65.
(a - 1)*(a + 1)**2*(a + 65)
Factor -5476*c**3 + 7252*c**2 - 1920*c + 144.
-4*(c - 1)*(37*c - 6)**2
Let 5*l**5 - 10*l**4 - 135*l**3 - 260*l**2 - 140*l = 0. Calculate l.
-2, -1, 0, 7
Determine j so that j**3/2 - 3*j**2/2 + j = 0.
0, 1, 2
Let -2*i**3 + 4*i**2 + 8*i - 16 = 0. What is i?
-2, 2
Factor 4*n**2 - 100*n + 264.
4*(n - 22)*(n - 3)
Determine c, given that -7*c**2/4 - 103*c/4 - 75 = 0.
-75/7, -4
Factor 