 162/5 = 0.
-9, -3
Factor -4*l**3 - 52*l**2 - 224*l - 320.
-4*(l + 4)**2*(l + 5)
Factor 27*i**5 - 21*i**4 - 87*i**3 + 117*i**2 - 24*i - 12.
3*(i - 1)**3*(i + 2)*(9*i + 2)
Factor 140*b**2 - 2172*b - 632.
4*(5*b - 79)*(7*b + 2)
Suppose b**5 - 3*b**4 - 6*b**3 + 8*b**2 = 0. Calculate b.
-2, 0, 1, 4
Factor n**4/6 - 7*n**2/6 + n.
n*(n - 2)*(n - 1)*(n + 3)/6
Solve -2*w**3/5 - 192*w**2/5 - 4968*w/5 - 16928/5 = 0 for w.
-46, -4
Determine z, given that -2*z**3/5 - 4*z**2 - 66*z/5 - 72/5 = 0.
-4, -3
Determine g, given that 2*g**4/11 - 52*g**3/11 - 168*g**2/11 - 172*g/11 - 58/11 = 0.
-1, 29
Factor 4*g**3 + 80*g**2 + 132*g - 216.
4*(g - 1)*(g + 3)*(g + 18)
Solve 10*p**2 + 475*p - 735 = 0 for p.
-49, 3/2
What is n in -n**5/10 + n**4/5 + n**3/2 - n**2 - 2*n/5 + 4/5 = 0?
-2, -1, 1, 2
Find m such that -m**3/4 - 3*m**2/4 + 5*m/2 + 6 = 0.
-4, -2, 3
What is v in -3*v**4/7 + 24*v**3/7 - 27*v**2/7 - 54*v/7 = 0?
-1, 0, 3, 6
Factor -2*l**2 - 58*l - 308.
-2*(l + 7)*(l + 22)
What is i in -2*i**3/3 - 112*i**2/3 + 248*i = 0?
-62, 0, 6
Factor -b**2 - 25*b + 26.
-(b - 1)*(b + 26)
Factor 3*g**3 - 198*g**2 + 387*g - 192.
3*(g - 64)*(g - 1)**2
Find f such that 78*f**5 - 2264*f**4 - 2282*f**3 + 60*f**2 = 0.
-1, 0, 1/39, 30
Suppose 5*y**5 + 130*y**4 + 235*y**3 - 130*y**2 - 240*y = 0. What is y?
-24, -2, -1, 0, 1
Suppose -6*m**5/19 + 4372*m**4/19 - 15980*m**3/19 + 21768*m**2/19 - 13054*m/19 + 2900/19 = 0. Calculate m.
2/3, 1, 725
Factor 2*v**3/7 - 180*v**2/7 + 4224*v/7 - 7744/7.
2*(v - 44)**2*(v - 2)/7
Factor 629856*s**4 + 1504656*s**3 + 521640*s**2 + 64876*s + 2744.
4*(s + 2)*(54*s + 7)**3
Factor -4*c**3/3 + 31*c**2/3 - 56*c/3 - 16/3.
-(c - 4)**2*(4*c + 1)/3
Factor q**3/8 + 213*q**2/8 + 11655*q/8 + 33075/8.
(q + 3)*(q + 105)**2/8
What is p in -3*p**2/2 - 1248*p - 259584 = 0?
-416
Find i such that i**3 - 5*i**2 + 2*i + 8 = 0.
-1, 2, 4
Suppose -13*y**2/7 - 271*y/7 + 6 = 0. Calculate y.
-21, 2/13
Factor 5*h**4 - 5*h**2.
5*h**2*(h - 1)*(h + 1)
What is h in -4*h**2 - 60*h = 0?
-15, 0
Factor 3*k**4/5 - 60*k**3 + 7194*k**2/5 + 3060*k + 7803/5.
3*(k - 51)**2*(k + 1)**2/5
Factor -g**4/2 + 9*g**3/2 + 21*g**2/2 + 11*g/2.
-g*(g - 11)*(g + 1)**2/2
Suppose -2*k**3/5 + 2854*k**2/5 - 203918*k + 1016738/5 = 0. What is k?
1, 713
Solve -15*k**3/2 + 33*k**2/2 - 9*k = 0.
0, 1, 6/5
Determine u, given that -u**5 - 19*u**4 + 87*u**3 - 113*u**2 + 46*u = 0.
-23, 0, 1, 2
Determine g, given that -162*g**2 - 158*g + 4 = 0.
-1, 2/81
Factor 4*m**2/7 + 516*m/7 - 3240/7.
4*(m - 6)*(m + 135)/7
Factor 12*x**5 + 1228*x**4 + 31620*x**3 + 10404*x**2.
4*x**2*(x + 51)**2*(3*x + 1)
Factor 4*d**4 + 20*d**3 - 52*d**2 + 28*d.
4*d*(d - 1)**2*(d + 7)
Find v such that v**2 - 33*v - 34 = 0.
-1, 34
Factor 14*k**3/3 - 2*k**2 - 8*k/3.
2*k*(k - 1)*(7*k + 4)/3
Let -k**3/5 + 61*k**2/5 + 257*k/5 + 39 = 0. What is k?
-3, -1, 65
Factor -5*l**4/3 + 7*l**3 - 11*l**2 + 23*l/3 - 2.
-(l - 1)**3*(5*l - 6)/3
Let -3*y**2/4 + 21*y/4 - 9/2 = 0. Calculate y.
1, 6
Factor -5*b**4/3 + 110*b**3/3 - 235*b**2 + 1100*b/3 - 500/3.
-5*(b - 10)**2*(b - 1)**2/3
Find t such that 2*t**4 - 26*t**3 + 42*t**2 + 26*t - 44 = 0.
-1, 1, 2, 11
Factor 2*m**5 - 88*m**4 + 1032*m**3 - 2588*m**2 + 2422*m - 780.
2*(m - 26)*(m - 15)*(m - 1)**3
Factor 3*a**4 + 21*a**3.
3*a**3*(a + 7)
Factor 2*m**2 - 48*m + 88.
2*(m - 22)*(m - 2)
Factor 4*n**3/3 + 56*n**2/3 + 100*n/3 + 16.
4*(n + 1)**2*(n + 12)/3
Find s, given that 3*s**4 - 8436*s**3 + 25290*s**2 - 25284*s + 8427 = 0.
1, 2809
Factor p**3 + 21*p**2 - 4*p - 84.
(p - 2)*(p + 2)*(p + 21)
Determine x, given that 2*x**2/9 + 278*x/9 + 92/3 = 0.
-138, -1
What is r in -18*r**4 - 324*r**3 + 8*r**2/9 + 16*r = 0?
-18, -2/9, 0, 2/9
Solve -3*b**5 - 15*b**4 - 9*b**3 + 51*b**2 + 84*b + 36 = 0.
-3, -2, -1, 2
Factor -3*f**4/5 + 213*f**3/5 + 216*f**2/5.
-3*f**2*(f - 72)*(f + 1)/5
Solve -p**5/2 + 11*p**4/2 - 21*p**3 + 34*p**2 - 20*p = 0.
0, 2, 5
Solve -2*z**5/17 + 2*z**4/17 + 18*z**3/17 - 18*z**2/17 = 0 for z.
-3, 0, 1, 3
Factor 2*w**3/7 + 44*w**2/7 + 320*w/7 + 768/7.
2*(w + 6)*(w + 8)**2/7
Find a such that 3*a**3/5 + 9*a**2/5 + 6*a/5 = 0.
-2, -1, 0
Suppose -2*p**5/3 - 30*p**4 - 378*p**3 - 882*p**2 = 0. Calculate p.
-21, -3, 0
Factor g**2 - 60*g + 171.
(g - 57)*(g - 3)
Factor h**4/10 - 13*h**3/10 - 3*h**2/10 + 37*h/10 + 13/5.
(h - 13)*(h - 2)*(h + 1)**2/10
Solve 4*o**3 - 160*o**2 + 588*o - 432 = 0 for o.
1, 3, 36
Let 2*z**3 - 206*z**2 + 6110*z - 39762 = 0. Calculate z.
9, 47
Determine y so that -5*y**5/2 - 20*y**4 - 55*y**3/2 + 20*y**2 + 30*y = 0.
-6, -2, -1, 0, 1
Factor 2*b**4 + 30*b**3 - 108*b**2 + 8*b + 144.
2*(b - 2)**2*(b + 1)*(b + 18)
Let f**2/4 + 41*f/2 - 435/4 = 0. Calculate f.
-87, 5
Let -2*d**2/7 + 156*d/7 = 0. Calculate d.
0, 78
Determine z so that 2*z**4/9 - 14*z**2/9 - 4*z/3 = 0.
-2, -1, 0, 3
Let 5*g**3 + 5715*g**2 + 2177415*g + 276531705 = 0. What is g?
-381
Determine d, given that 2*d**4/9 + 8*d**3/9 - 4*d**2/3 - 8*d/9 + 10/9 = 0.
-5, -1, 1
Factor -3*m**3/5 + 597*m**2/5 - 237*m + 591/5.
-3*(m - 197)*(m - 1)**2/5
Factor 3*o**5/5 - 66*o**4/5 + 363*o**3/5.
3*o**3*(o - 11)**2/5
Find y, given that 2*y**2/5 + 3288*y/5 + 3286/5 = 0.
-1643, -1
Find x, given that -3*x**4 - 972*x**3 + 2934*x**2 - 2940*x + 981 = 0.
-327, 1
Factor 5*o**4 + 30*o**3 - 555*o**2 + 1720*o - 1200.
5*(o - 4)**2*(o - 1)*(o + 15)
Factor 5*h**2 + 60*h - 65.
5*(h - 1)*(h + 13)
Suppose -9*l**3 - 3*l**2 + 56*l - 48 = 0. Calculate l.
-3, 4/3
Factor 2*n**2/3 + 28*n/3 - 80.
2*(n - 6)*(n + 20)/3
Factor -2*u**4/5 + 2*u**2/5.
-2*u**2*(u - 1)*(u + 1)/5
Factor 3*l**4 - 21*l**3 + 6*l**2 + 120*l.
3*l*(l - 5)*(l - 4)*(l + 2)
Factor 2*r**2/7 + 46*r/7 - 216/7.
2*(r - 4)*(r + 27)/7
Suppose y**2/3 + 4432*y/3 + 4910656/3 = 0. What is y?
-2216
Determine c so that 2*c**3/7 + 252*c**2 + 55566*c = 0.
-441, 0
Let -210*h**4 - 1707*h**3/2 - 1179*h**2/2 + 516*h - 78 = 0. What is h?
-13/5, -2, 1/4, 2/7
Solve -2*j**4/3 - 1072*j**3/3 + 1440*j**2 = 0.
-540, 0, 4
Let i**3/5 - 6*i**2/5 - 16*i/5 = 0. What is i?
-2, 0, 8
Find t such that -90*t**4 - 376*t**3 + 394*t**2 + 112*t - 40 = 0.
-5, -2/5, 2/9, 1
Factor 2*w**4 - 14*w**3 + 34*w**2 - 34*w + 12.
2*(w - 3)*(w - 2)*(w - 1)**2
Factor -7*l**3/3 + 606*l**2 - 39260*l - 33800/3.
-(l - 130)**2*(7*l + 2)/3
Find g such that 2*g**3 - 202*g**2 - 410*g - 206 = 0.
-1, 103
Solve 15*p**4/2 + 1295*p**3 - 3485*p**2/2 - 430*p + 870 = 0.
-174, -2/3, 1
Let 3*z**4 - 9*z**2 - 6*z = 0. What is z?
-1, 0, 2
Factor 95*c**3 - 1035*c**2 - 2580*c - 260.
5*(c - 13)*(c + 2)*(19*c + 2)
Factor -2*i**2/21 + 268*i/7 - 802/21.
-2*(i - 401)*(i - 1)/21
Suppose -3*h**3 - 1797*h**2 - 1788*h + 3588 = 0. What is h?
-598, -2, 1
Find j such that -2*j**5/9 - 70*j**4/3 - 190*j**3/9 + 1850*j**2/9 - 760*j/3 + 832/9 = 0.
-104, -4, 1
Factor 13200*c**2 - 9868*c/3 - 8/3.
4*(4*c - 1)*(2475*c + 2)/3
What is o in -2*o**3 + 10*o**2 + 16*o - 24 = 0?
-2, 1, 6
Solve 24*l**3 - 4*l**2 - 164*l - 120 = 0.
-2, -5/6, 3
Factor -3*l**2/5 + 249*l/5 - 246/5.
-3*(l - 82)*(l - 1)/5
Factor t**4 - 248*t**3 + 15622*t**2 - 30504*t + 15129.
(t - 123)**2*(t - 1)**2
Solve -2*q**2 - 6*q + 56 = 0 for q.
-7, 4
Let x**5/4 - 35*x**4/2 + 679*x**3/2 - 1172*x**2 + 5577*x/4 - 1089/2 = 0. Calculate x.
1, 2, 33
Suppose -4*i**5 + 8*i**4 + 8*i**3 - 16*i**2 - 4*i + 8 = 0. Calculate i.
-1, 1, 2
Suppose q**5/3 + 11*q**4/3 + 34*q**3/3 + 46*q**2/3 + 29*q/3 + 7/3 = 0. What is q?
-7, -1
Determine d so that -d**4 - 52*d**3/7 - 59*d**2/7 + 10*d/7 + 24/7 = 0.
-6, -1, 4/7
Find s, given that s**5/6 - 217*s**4/6 + 1061*s**3/6 - 191*s**2/6 - 745*s + 636 = 0.
-2, 1, 3, 212
Factor -3*i**3 + 771*i**2 - 1533*i + 765.
-3*(i - 255)*(i - 1)**2
Determine s so that s**4/2 - 3*s**3/2 - 3*s**2/2 + 7*s/2 + 3 = 0.
-1, 2, 3
Factor -m**3/6 + 3*m**2/2 + 26*m/3.
-m*(m - 13)*(m + 4)/6
Factor -2*v**2/7 + 4504*v/7 - 2535752/7.
-2*(v - 1126)**2/7
Let 21*y**4 - 3828*y**3 + 8673*y**2 - 5946*y + 1080 = 0. What is y?
2/7, 1, 180
Solve -37*n**2 - 49*n - 12 = 0 for n.
-1, -12/37
Solve 21*j**2 + 6357*j - 1818 = 0 for j.
-303, 2/7
Let 2*o**5 - 18*o**4 + 30*o**3 + 50*o**2 = 0. What is o?
-1, 0, 5
What is m in 15*m**4/7 + 54*m**3/7 + 3*m**2 - 18*m/7 = 0?
-3, -1, 0, 2/5
Factor 4*q**5/7 - 104*q**4/7 + 376*q**3/7 - 544*q**2/7 + 356*q/7 - 88/7.
4*(q - 22)*(q - 1)**4/7
Find t, given that -3*t**3 + 60*t**2 + 276*t + 288 = 0.
-2, 24
Let -s**3/4 - 2*s**2 - 21*s/4 - 9/2 = 0. What is s?
