i**2 - 72*i + 12 = 0.
-2, 1/3, 2
Factor 4*g**3/5 - 192*g**2/5 + 372*g/5 - 184/5.
4*(g - 46)*(g - 1)**2/5
Solve -385*z**5 + 1630*z**4 + 20*z**3 - 1610*z**2 + 365*z - 20 = 0 for z.
-1, 1/11, 1/7, 1, 4
Factor -v**4/7 + 16*v**3/7 - 52*v**2/7 + 48*v/7.
-v*(v - 12)*(v - 2)**2/7
Factor -q**3 + 281*q**2 + 1136*q + 1140.
-(q - 285)*(q + 2)**2
Factor -3*n**3 - 105*n**2.
-3*n**2*(n + 35)
Factor -4*x**2 - 4*x + 120.
-4*(x - 5)*(x + 6)
Factor q**2/6 + 9*q - 56/3.
(q - 2)*(q + 56)/6
Factor -5*z**2 + 640*z - 3660.
-5*(z - 122)*(z - 6)
Factor 5*j**2 - 230*j + 2645.
5*(j - 23)**2
Factor -2*d**2 + 30*d + 68.
-2*(d - 17)*(d + 2)
Find t, given that -2*t**4/7 - 8*t**3/7 - 6*t**2/7 = 0.
-3, -1, 0
Factor 4*n**4 - 220*n**3 - 1672*n**2 - 3920*n - 2976.
4*(n - 62)*(n + 2)**2*(n + 3)
Solve -2*x**5 + 28*x**4 - 108*x**3 + 176*x**2 - 130*x + 36 = 0 for x.
1, 2, 9
Suppose 2*c**3/3 - 66*c**2 - 134*c - 202/3 = 0. Calculate c.
-1, 101
Factor -11*c**2/2 - 59*c/2 - 39.
-(c + 3)*(11*c + 26)/2
Factor t**2/4 + 16*t + 495/4.
(t + 9)*(t + 55)/4
Let 4*z**4/9 - 10*z**3/9 - 14*z**2/9 = 0. Calculate z.
-1, 0, 7/2
Suppose p**2/10 - 9*p/5 + 81/10 = 0. What is p?
9
Let 3*b**3 + 192*b**2 + 189*b = 0. What is b?
-63, -1, 0
Suppose 4*r**4 - 32*r**3 - 40*r**2 + 32*r + 36 = 0. What is r?
-1, 1, 9
Suppose 27*z**3/2 + 504*z**2 + 654*z + 216 = 0. Calculate z.
-36, -2/3
Determine f so that -2*f**3 + 142*f**2 - 2448*f - 2592 = 0.
-1, 36
Solve 3*n**2 - 27 = 0 for n.
-3, 3
Solve n**5/9 - 31*n**3/9 - 10*n**2/3 = 0.
-5, -1, 0, 6
Factor 3*n**2/5 - 3666*n/5 + 1119963/5.
3*(n - 611)**2/5
Factor 7*d**4/4 - 61*d**3/4 + 27*d**2 + 9*d.
d*(d - 6)*(d - 3)*(7*d + 2)/4
Let 3*r**2 + 63*r - 138 = 0. Calculate r.
-23, 2
Factor 4*s**3 - 512*s**2 - 1036*s - 520.
4*(s - 130)*(s + 1)**2
Factor -y**2/6 + 37*y/6 - 6.
-(y - 36)*(y - 1)/6
Determine r so that -6*r**3 - 291*r**2 - 696*r - 276 = 0.
-46, -2, -1/2
What is k in -3*k**2/7 - 936*k/7 - 73008/7 = 0?
-156
Find x such that -2*x**5 - 64*x**4 - 436*x**3 + 1360*x**2 + 1734*x = 0.
-17, -1, 0, 3
Factor 2*k**4 - 32*k**3 - 352*k**2 - 768*k.
2*k*(k - 24)*(k + 4)**2
Suppose -c**4 - 21*c**3 + 97*c**2 - 75*c = 0. What is c?
-25, 0, 1, 3
Let f**2 + 5*f - 50 = 0. Calculate f.
-10, 5
Factor -4*i**2 + 2496*i.
-4*i*(i - 624)
Factor -d**5 - 22*d**4 - 123*d**3 - 290*d**2 - 308*d - 120.
-(d + 1)*(d + 2)**3*(d + 15)
Factor 4*n**4 + 12*n**3.
4*n**3*(n + 3)
Suppose -u**4/3 - 211*u**3/3 + u**2/3 + 211*u/3 = 0. Calculate u.
-211, -1, 0, 1
Solve 2*a**3/7 - 54*a/7 - 108/7 = 0.
-3, 6
Find i, given that -i**4/4 + i**3/4 + 21*i**2/4 - 41*i/4 + 5 = 0.
-5, 1, 4
Determine c, given that -2*c**2/5 - 124*c/5 + 256/5 = 0.
-64, 2
Determine t so that -10*t**5 - 134*t**4 + 98*t**3 + 190*t**2 - 88*t - 56 = 0.
-14, -1, -2/5, 1
Factor -3*z**2/2 + 12*z - 45/2.
-3*(z - 5)*(z - 3)/2
Let -a**5 + 287*a**4 - 21298*a**3 + 101382*a**2 - 140013*a + 59643 = 0. What is a?
1, 3, 141
Factor 3*l**3/7 + 36*l**2.
3*l**2*(l + 84)/7
Let -12*f**3/7 + 1443*f**2/7 - 351*f/7 - 1080/7 = 0. What is f?
-3/4, 1, 120
Let -4*w**5 + 176*w**4 - 1748*w**3 - 4232*w**2 = 0. Calculate w.
-2, 0, 23
Determine j so that 6*j**5 - 20*j**4 + 20*j**2 - 6*j = 0.
-1, 0, 1/3, 1, 3
Factor -x**2 - 148*x + 149.
-(x - 1)*(x + 149)
Factor -w**3 - 205*w**2 - 11187*w - 68607.
-(w + 7)*(w + 99)**2
Factor 2*k**4 + 212*k**3 + 7344*k**2 + 77760*k - 186624.
2*(k - 2)*(k + 36)**3
Factor -5*q**3 + 20*q**2 + 260*q + 400.
-5*(q - 10)*(q + 2)*(q + 4)
Suppose -g**3 - 42*g**2 + 45*g + 86 = 0. What is g?
-43, -1, 2
Factor 5*y**3 - 5*y.
5*y*(y - 1)*(y + 1)
Let w**4/5 - 2*w**3/5 = 0. What is w?
0, 2
Factor -g**4/7 + 4*g**3 - 235*g**2/7 + 456*g/7 + 720/7.
-(g - 12)**2*(g - 5)*(g + 1)/7
Suppose -2*g**2/5 + 158*g/5 - 156/5 = 0. What is g?
1, 78
Find f such that -3*f**3/8 - 1437*f**2/4 - 688323*f/8 = 0.
-479, 0
Factor 3*z**2/2 + 6*z + 6.
3*(z + 2)**2/2
Suppose 29*w**2/5 + 1742*w/5 + 24 = 0. What is w?
-60, -2/29
Determine g, given that -g**4 + 17*g**3 + 19*g**2 - 17*g - 18 = 0.
-1, 1, 18
Suppose -z**2/5 - 134*z + 671/5 = 0. Calculate z.
-671, 1
Let y**4 + y**3 - 15*y**2 + 23*y - 10 = 0. Calculate y.
-5, 1, 2
Find l such that -9*l**3/5 + 96*l**2/5 + 33*l/5 = 0.
-1/3, 0, 11
Solve 3*z**2 - 6*z - 45 = 0 for z.
-3, 5
Factor -343*a**4/5 + 3283*a**3/5 - 1386*a**2 + 5508*a/5 - 1512/5.
-(a - 7)*(7*a - 6)**3/5
What is h in 12*h**5 + 42*h**4 + 51*h**3/4 - 15*h**2 + 9*h/4 = 0?
-3, -1, 0, 1/4
Factor 5*s**2 - 435*s - 440.
5*(s - 88)*(s + 1)
Factor -c**5 + 26*c**4 + 84*c**3 + 86*c**2 + 29*c.
-c*(c - 29)*(c + 1)**3
Factor 2*j**5/11 + 56*j**4/11 + 576*j**3/11 + 2560*j**2/11 + 4096*j/11.
2*j*(j + 4)*(j + 8)**3/11
Find s, given that s**5/5 - s**4 - 21*s**3/5 + 137*s**2/5 - 88*s/5 - 48 = 0.
-5, -1, 3, 4
Factor h**3 + 20*h**2 + 100*h.
h*(h + 10)**2
Determine y, given that 2*y**4/9 + 14*y**3 - 148*y**2/9 - 144*y - 1024/9 = 0.
-64, -2, -1, 4
Factor -5*v**3 + 640*v**2 + 645*v.
-5*v*(v - 129)*(v + 1)
Factor 3*d**2/5 - 417*d/5.
3*d*(d - 139)/5
Determine r, given that -15*r**5 - 231*r**4 - 825*r**3 - 1149*r**2 - 672*r - 132 = 0.
-11, -2, -1, -2/5
Suppose 2*j**5/3 + 28*j**4/3 + 16*j**3 - 4*j**2/3 - 50*j/3 - 8 = 0. What is j?
-12, -1, 1
Find m, given that -5*m**4 + 195*m**3 - 2460*m**2 + 9100*m + 11760 = 0.
-1, 12, 14
Determine a, given that -2*a**5/19 - 32*a**4/19 - 106*a**3/19 - 124*a**2/19 - 48*a/19 = 0.
-12, -2, -1, 0
Determine l, given that 2*l**4 + 4*l**3 - 32*l**2 - 4*l + 30 = 0.
-5, -1, 1, 3
Solve 1060*q**5 - 4245*q**4/2 + 1065*q**3 - 5*q**2/2 = 0 for q.
0, 1/424, 1
Determine s so that -s**4 - 31*s**3 + 36*s**2 + 124*s - 128 = 0.
-32, -2, 1, 2
Suppose 2*i**3 + 18*i**2 - 330*i - 3146 = 0. Calculate i.
-11, 13
Find w, given that -4*w**5 + 120*w**4 + 524*w**3 + 672*w**2 + 272*w = 0.
-2, -1, 0, 34
Suppose 5*w**3 - 215*w**2 + 200*w + 420 = 0. What is w?
-1, 2, 42
Find y such that -5*y**4 + 150*y**3 - 585*y**2 - 8100*y - 14580 = 0.
-3, 18
Factor v**2 - 302*v.
v*(v - 302)
Suppose 4*f**5 + 84*f**4 + 656*f**3 + 2304*f**2 + 3456*f + 1728 = 0. What is f?
-6, -2, -1
Factor a**5/3 + 22*a**4/3 + 40*a**3/3 - 2*a**2/3 - 41*a/3 - 20/3.
(a - 1)*(a + 1)**3*(a + 20)/3
Solve 5*s**5 + 52*s**4 + 102*s**3 + 44*s**2 - 35*s - 24 = 0.
-8, -1, 3/5
Factor 5*w**3 + 12825*w**2 + 10965375*w + 3125131875.
5*(w + 855)**3
Factor 3*w**4/7 + 33*w**3/7 + 108*w**2/7 + 48*w/7 - 192/7.
3*(w - 1)*(w + 4)**3/7
Solve -5*f**3 + 285*f - 280 = 0.
-8, 1, 7
Let 21*q**4 - 45*q**3/2 + 3*q**2/2 = 0. Calculate q.
0, 1/14, 1
Find t such that 8*t**2 + 190*t - 48 = 0.
-24, 1/4
Solve -d**5 + 4*d**4 - 14*d**2 + 17*d - 6 = 0.
-2, 1, 3
Factor 4*z**4 + 20*z**3 + 24*z**2.
4*z**2*(z + 2)*(z + 3)
Let 2*o**4/5 - 44*o**3/5 - 406*o**2/5 = 0. What is o?
-7, 0, 29
Factor l**4/4 - 113*l**3/4 + 4329*l**2/4 - 58867*l/4 + 50653/2.
(l - 37)**3*(l - 2)/4
Factor 5*c**3/3 + 20*c**2 - 305*c/3 + 80.
5*(c - 3)*(c - 1)*(c + 16)/3
Factor -3*k**2 - 35*k + 82.
-(k - 2)*(3*k + 41)
What is v in 3*v**3 + 57*v**2 + 54*v = 0?
-18, -1, 0
Factor -5*y**2/3 - 253*y/3 + 34.
-(y + 51)*(5*y - 2)/3
Factor -t**5 - 3*t**4 + 4*t**3 + 16*t**2 - 16.
-(t - 2)*(t - 1)*(t + 2)**3
Solve -3*d**4 - 18*d**3 + 45*d**2 - 24*d = 0.
-8, 0, 1
Factor 8*z**2/5 + 78*z/5 - 4.
2*(z + 10)*(4*z - 1)/5
Suppose 4*g**2 + 7792*g + 3794704 = 0. Calculate g.
-974
Factor -3*v**5/8 + 3*v**4/8 + 27*v**3/8 + 33*v**2/8 + 3*v/2.
-3*v*(v - 4)*(v + 1)**3/8
Factor -f**2 + 944*f - 222784.
-(f - 472)**2
Factor -2*a**2/3 + 4076*a/3 - 1358.
-2*(a - 2037)*(a - 1)/3
Suppose 3*c**4/7 - 18*c**3/7 - 99*c**2 + 5808*c/7 = 0. Calculate c.
-16, 0, 11
Factor -z**4 + 17*z**3 - 90*z**2 + 108*z + 216.
-(z - 6)**3*(z + 1)
Solve -t**3/3 - 7*t**2 + 15*t - 23/3 = 0 for t.
-23, 1
Let -d**3/6 + 19*d**2/3 - 371*d/6 + 299/3 = 0. What is d?
2, 13, 23
Factor k**5 + 11*k**4 + 38*k**3 + 40*k**2.
k**2*(k + 2)*(k + 4)*(k + 5)
Solve 40*q**3 + 830*q**2 - 215*q - 105 = 0 for q.
-21, -1/4, 1/2
Determine y so that 3*y**2/7 - 6252*y/7 + 3257292/7 = 0.
1042
Determine u, given that -2*u**4/21 + 244*u**3/21 - 478*u**2/21 - 244*u/21 + 160/7 = 0.
-1, 1, 2, 120
Find k such that k**5/7 + 2*k**4/7 - 39*k**3/7 - 40*k**2/7 + 400*k/7 = 0.
-5, 0, 4
Factor 14*a**3 - 34*a**2/3 - 260*a/3 - 16.
2*(a - 3)*(a + 2)*(21*a + 4)/3
Let 3*b**5 - 15*b**4 + 15*b**3 + 15*b**2 - 18*b = 0. What is b?
-1, 0, 1, 2, 3
Determine t so that 2*t**4/5 - 1764*t**3/5 + 5274*t**2/5 + 8*t/5 - 7032/5 = 0.
-