 662*l**3 + 110221*l**2 + 218460*l + 108900 = 0.
-330, -1
Factor -k**2 + 6*k.
-k*(k - 6)
Factor -51*n**2/7 + 732*n/7 - 180.
-3*(n - 2)*(17*n - 210)/7
Factor 4*s**3 + 8*s**2 - 36*s - 72.
4*(s - 3)*(s + 2)*(s + 3)
Determine s so that s**3/6 - 7*s**2/2 + 28*s/3 + 34 = 0.
-2, 6, 17
Factor 4*g**3 - 252*g**2 + 3536*g + 8112.
4*(g - 39)*(g - 26)*(g + 2)
Suppose 3*n**2/4 - 261*n/4 + 255/2 = 0. Calculate n.
2, 85
Let 3*g**3/2 + 3*g**2/2 - 15*g/2 + 9/2 = 0. What is g?
-3, 1
Determine o, given that -2*o**2 + 12700*o - 20161250 = 0.
3175
Factor -c**3/12 + 13*c**2/12 - 11*c/3 + 8/3.
-(c - 8)*(c - 4)*(c - 1)/12
Determine u so that -14*u**3/15 + 44*u**2/3 - 832*u/15 - 256/15 = 0.
-2/7, 8
Factor 2*i**4/5 + 4*i**3 + 56*i**2/5 + 48*i/5.
2*i*(i + 2)**2*(i + 6)/5
Let -4*x**2 + 56*x + 380 = 0. Calculate x.
-5, 19
Find d, given that -4*d**4/5 - 22*d**3 - 54*d**2/5 = 0.
-27, -1/2, 0
Let -3*g**4/7 - 3*g**3 - 9*g**2/7 + 93*g/7 - 60/7 = 0. Calculate g.
-5, -4, 1
Suppose -10*h**5 + 256*h**4 + 2624*h**3 + 7648*h**2 + 8096*h + 2176 = 0. Calculate h.
-4, -2, -2/5, 34
Find j such that 2*j**5 - 22*j**4 + 62*j**3 - 34*j**2 - 64*j + 56 = 0.
-1, 1, 2, 7
Find s such that 5*s**4 + 185*s**3 + 180*s**2 = 0.
-36, -1, 0
Suppose -2*d**4/9 - 26*d**3/9 - 10*d**2/3 + 146*d/9 - 88/9 = 0. Calculate d.
-11, -4, 1
Determine n so that 4*n**3 + 4284*n**2 = 0.
-1071, 0
Find j, given that -4*j**4 + 44*j**3 + 48*j**2 = 0.
-1, 0, 12
What is l in l**2/2 - 13*l/2 = 0?
0, 13
Determine f so that -338*f**2/5 - 832*f - 2560 = 0.
-80/13
Suppose -4*v**3 - 212*v**2 - 2600*v + 2816 = 0. What is v?
-32, -22, 1
Factor d**4/4 + 27*d**3/4 + 129*d**2/2 + 248*d + 288.
(d + 2)*(d + 8)**2*(d + 9)/4
Factor -2*r**4 - 52*r**3 - 424*r**2 - 1100*r - 726.
-2*(r + 1)*(r + 3)*(r + 11)**2
Factor -4*g**2 - 676*g - 672.
-4*(g + 1)*(g + 168)
Let -l**2 + 18*l - 56 = 0. Calculate l.
4, 14
Factor 2*z**3/11 + 40*z**2/11 + 14*z - 196/11.
2*(z - 1)*(z + 7)*(z + 14)/11
Factor -s**4/5 - 14*s**3/5 - 36*s**2/5 - 34*s/5 - 11/5.
-(s + 1)**3*(s + 11)/5
Find f, given that -4*f**2 - 4116*f = 0.
-1029, 0
Factor -2*v**4 - 8*v**3 + 32*v + 32.
-2*(v - 2)*(v + 2)**3
Let -5*n**4 + 10*n**3 + 40*n**2 = 0. Calculate n.
-2, 0, 4
Determine m so that 5*m**2/2 - 91*m - 111/2 = 0.
-3/5, 37
Solve 4*y**2 - 52*y + 48 = 0 for y.
1, 12
Factor v**3/3 + 6*v**2 - 19*v/3.
v*(v - 1)*(v + 19)/3
Determine p so that -4*p**3 - 32*p**2 - 28*p = 0.
-7, -1, 0
Determine c so that -2*c**3/11 - 120*c**2/11 = 0.
-60, 0
Factor 2*g**4/15 + 6*g**3 + 288*g**2/5 + 792*g/5.
2*g*(g + 6)**2*(g + 33)/15
Factor y**4 - 37*y**3 + 67*y**2 + 105*y.
y*(y - 35)*(y - 3)*(y + 1)
Determine s so that 6*s**5/5 - 34*s**4/5 + 56*s**3/5 - 64*s/5 + 32/5 = 0.
-1, 2/3, 2
Factor -2*a**5 + 38*a**4 - 228*a**3 + 476*a**2 - 410*a + 126.
-2*(a - 9)*(a - 7)*(a - 1)**3
Suppose 2*q**4/3 - 46*q**3/3 + 88*q**2 - 120*q = 0. Calculate q.
0, 2, 6, 15
Solve 4*o**2/9 - 3728*o/9 + 868624/9 = 0 for o.
466
Let b**4 - 45*b**3 + 43*b**2 + 45*b - 44 = 0. Calculate b.
-1, 1, 44
Factor r**3/3 - 373*r**2/3 + 11656*r - 11532.
(r - 186)**2*(r - 1)/3
Determine s, given that -2*s**4 - 76*s**3 - 720*s**2 + 76*s + 722 = 0.
-19, -1, 1
Find f, given that 2*f**4/11 + 24*f**3/11 + 70*f**2/11 + 48*f/11 = 0.
-8, -3, -1, 0
Factor o**3/10 + 5*o**2/2 + 87*o/10 + 63/10.
(o + 1)*(o + 3)*(o + 21)/10
Factor 2*u**4/7 + 22*u**3/7 + 76*u**2/7 + 104*u/7 + 48/7.
2*(u + 1)*(u + 2)**2*(u + 6)/7
Find c such that 3*c**2 - 165*c = 0.
0, 55
Let -4*b**4/3 + 44*b**3/3 - 23*b**2 - 286*b/3 - 169/3 = 0. Calculate b.
-1, 13/2
Factor 640*q**2 + 1275*q - 10.
5*(q + 2)*(128*q - 1)
Solve 5*y**2 + 170*y + 1445 = 0.
-17
Factor n**2 + 47*n - 98.
(n - 2)*(n + 49)
Solve u**2 + 38*u + 361 = 0 for u.
-19
Solve s**2 + 26*s - 27 = 0.
-27, 1
Find d, given that 50*d**4/23 + 4840*d**3/23 + 5176*d**2 + 92928*d/23 + 18432/23 = 0.
-48, -2/5
Let -5*f**3 - 5*f**2 + 50*f - 40 = 0. Calculate f.
-4, 1, 2
Determine v so that -3*v**4/4 + 19*v**3/4 - v**2 - 3*v = 0.
-2/3, 0, 1, 6
Factor x**3/4 - 313*x**2/2 - x/4 + 313/2.
(x - 626)*(x - 1)*(x + 1)/4
Factor 15*a**3 - 65*a**2 + 65*a - 15.
5*(a - 3)*(a - 1)*(3*a - 1)
Solve 3*v**3/5 - 78*v**2/5 - 3*v/5 + 78/5 = 0.
-1, 1, 26
Solve -5*o**5/3 - 8*o**4 - 5*o**3 + 4*o**2/3 = 0 for o.
-4, -1, 0, 1/5
Factor s**2/4 + 9*s/2 - 19/4.
(s - 1)*(s + 19)/4
Solve 2*w**2/13 + 802*w/13 - 804/13 = 0.
-402, 1
Find z such that -2*z**5/5 + 14*z**4/5 - 6*z**3 + 18*z**2/5 = 0.
0, 1, 3
Solve 729*s**4 - 59535*s**3 - 19899*s**2 - 2213*s - 82 = 0.
-1/9, 82
What is l in -5*l**3 - 150*l**2 - 1365*l - 3380 = 0?
-13, -4
Solve 9*k**2/2 - 471*k + 312 = 0 for k.
2/3, 104
Factor g**3 + 126*g**2 + 4320*g + 21600.
(g + 6)*(g + 60)**2
Suppose -2*b**5/5 - 24*b**4/5 - 22*b**3/5 = 0. Calculate b.
-11, -1, 0
Suppose 2*y**5/3 + 740*y**4/3 + 2932*y**3/3 + 1456*y**2/3 - 978*y - 732 = 0. What is y?
-366, -3, -1, 1
Factor 4*g**4/19 - 18*g**3/19 + 30*g**2/19 - 22*g/19 + 6/19.
2*(g - 1)**3*(2*g - 3)/19
Solve a**2 + 14*a = 0 for a.
-14, 0
Let -x**2/2 - 213*x/2 + 324 = 0. What is x?
-216, 3
Solve -m**3/7 - 53*m**2/7 + 110*m/7 = 0.
-55, 0, 2
Factor 2*g**3/3 - 1030*g**2/3 + 682*g + 1026.
2*(g - 513)*(g - 3)*(g + 1)/3
What is n in 2*n**3/7 + 2*n**2 = 0?
-7, 0
Solve -c**2/6 + 547*c/3 - 299209/6 = 0.
547
Determine b so that b**2/6 + 553*b/6 = 0.
-553, 0
Factor -2*p**3/5 + 28*p**2 - 2744*p/5 + 16464/5.
-2*(p - 42)*(p - 14)**2/5
Factor 2*v**2/5 + 3032*v/5 + 1149128/5.
2*(v + 758)**2/5
Factor -v**3/5 - 3*v**2/5 + 4*v/5.
-v*(v - 1)*(v + 4)/5
Factor s**2 + 10*s.
s*(s + 10)
Factor 2*c**4 - 12*c**3 - 50*c**2 - 36*c.
2*c*(c - 9)*(c + 1)*(c + 2)
Suppose 3*c**5 - 453*c**4 + 17769*c**3 - 50619*c**2 + 49728*c - 16428 = 0. Calculate c.
1, 74
Factor -3*d**3 + 87*d**2 + 915*d - 999.
-3*(d - 37)*(d - 1)*(d + 9)
Find v, given that 2*v**5 - 8*v**4 - 24*v**3 + 128*v**2 - 128*v = 0.
-4, 0, 2, 4
Let 2*g**2/11 + 120*g/11 - 122/11 = 0. What is g?
-61, 1
Solve -6*w**2 + 1773*w/2 - 1323/2 = 0 for w.
3/4, 147
Determine l, given that l**5/5 - 3*l**4/5 + l**3/5 + 3*l**2/5 - 2*l/5 = 0.
-1, 0, 1, 2
Let t**4/3 - 22*t**3/3 + 48*t**2 - 128*t/3 - 1024/3 = 0. What is t?
-2, 8
Factor -u**4/10 - 146*u**3/5 - 10803*u**2/5 - 4234*u - 4205/2.
-(u + 1)**2*(u + 145)**2/10
Factor -b**2/3 - 55*b/3.
-b*(b + 55)/3
Suppose 5*m**2 - 230*m + 1925 = 0. Calculate m.
11, 35
Factor 3*x**2 - 381*x - 1170.
3*(x - 130)*(x + 3)
Let 5*v**3 + 40*v**2 + 55*v - 100 = 0. What is v?
-5, -4, 1
Factor -5*a**2 + 515*a - 1010.
-5*(a - 101)*(a - 2)
Factor -2*c**2 - 502*c + 504.
-2*(c - 1)*(c + 252)
Determine z, given that -5*z**3 + 210*z**2 + 435*z + 220 = 0.
-1, 44
Factor -1444*g**4 + 8968*g**3 - 1840*g**2 + 96*g.
-4*g*(g - 6)*(19*g - 2)**2
Factor v**2 - 76*v + 148.
(v - 74)*(v - 2)
Determine i, given that 3*i**3/5 - 51*i**2/5 - 3*i/5 + 51/5 = 0.
-1, 1, 17
Factor -l**3/2 + 3*l**2 - 4*l.
-l*(l - 4)*(l - 2)/2
Find i such that -3*i**5/5 - 114*i**4/5 + 618*i**3/5 - 228*i**2 + 897*i/5 - 258/5 = 0.
-43, 1, 2
Factor i**2 + 16*i - 17.
(i - 1)*(i + 17)
Factor 2*m**3/5 - 1924*m**2/5 + 462722*m/5.
2*m*(m - 481)**2/5
Solve -4*s**5 - 32*s**4 + 8*s**3 + 64*s**2 - 4*s - 32 = 0.
-8, -1, 1
Let 12*f**5 - 8*f**4/5 = 0. What is f?
0, 2/15
Factor -b**4/3 - 25*b**3/3 + 142*b**2/3 - 236*b/3 + 40.
-(b - 2)**2*(b - 1)*(b + 30)/3
Factor -2*l**4 - 32*l**3/3 - 16*l**2 + 32/3.
-2*(l + 2)**3*(3*l - 2)/3
Factor -2*t**5 - 10*t**4 - 2*t**3 + 34*t**2 + 44*t + 16.
-2*(t - 2)*(t + 1)**3*(t + 4)
What is n in -3*n**5/5 + 18*n**4/5 - 39*n**3/5 + 36*n**2/5 - 12*n/5 = 0?
0, 1, 2
Let 5*l**2 + 27330*l = 0. What is l?
-5466, 0
Factor 35*h**2 + 2145*h + 610.
5*(h + 61)*(7*h + 2)
Determine g so that 4*g**5 + 35*g**4 + 52*g**3 + 21*g**2 = 0.
-7, -1, -3/4, 0
Factor c**2/8 - 11*c/8 + 9/4.
(c - 9)*(c - 2)/8
Find b such that 4*b**2 + 316*b + 4216 = 0.
-62, -17
Solve -4*j**3/3 + 184*j**2/3 - 356*j/3 + 176/3 = 0.
1, 44
Suppose 7*v**2/5 + 29*v/5 - 6 = 0. What is v?
-5, 6/7
What is f in 2*f**5/11 + 8*f**4/11 - 64*f**3/11 = 0?
-8, 0, 4
Determine n, given that -2*n**2/9 - 34*n/3 - 196/9 = 0.
-49, -2
Suppose h**3/3 - 4*h**2/3 - 19*h/3 - 14/3 = 0. Calculate h.
-2, -1, 7
Factor x**3/2 + 15*x**2 - x/2 - 15.
(x - 1)*(x + 1)*(x + 30)/2
Determine i, given that -3*i**3 + 27*i**2 - 33*i - 63 = 0.
-1, 3, 7
Determine p, given that 2*p**5 + 106*p**4 + 720*p**3 = 0.
-45, -8, 0
Find m, given that -m**2 + 61*m/2 + 165/2 = 0.
-5/2,