**3 + 11*a**2 - 19*a + 9.
-(a - 9)*(a - 1)**2
Solve 6*l**4 + 1161*l**3/2 + 4221*l**2/2 + 1668*l - 558 = 0 for l.
-93, -2, 1/4
Suppose -4*g**2 + 433*g - 108 = 0. Calculate g.
1/4, 108
Let -o**3/5 + 4*o**2/5 + 51*o/5 - 54/5 = 0. Calculate o.
-6, 1, 9
Suppose 4*j**4 - 828*j**3 + 44072*j**2 - 126480*j + 83232 = 0. Calculate j.
1, 2, 102
Factor 2*d**4/9 - 28*d**3/9 + 22*d**2/3.
2*d**2*(d - 11)*(d - 3)/9
Determine x, given that -2*x**4/9 + 4*x**3/9 + 622*x**2/9 - 208*x/3 - 5408 = 0.
-12, 13
Factor -2*n**3 - 914*n**2 + 5538*n - 8334.
-2*(n - 3)**2*(n + 463)
Let -2*w**5 - 148*w**4 + 152*w**3 + 148*w**2 - 150*w = 0. Calculate w.
-75, -1, 0, 1
Determine a so that 4*a**3/7 + 20*a**2/7 + 16*a/7 = 0.
-4, -1, 0
Factor -2*z**2 + 48*z + 50.
-2*(z - 25)*(z + 1)
Let -3*y**3 - 874*y**2 - 289*y + 582 = 0. Calculate y.
-291, -1, 2/3
Let 2*q**2/5 + 238*q - 1192/5 = 0. Calculate q.
-596, 1
Solve 9*a**4/2 - 20*a**3 + 53*a**2/2 - 11*a = 0 for a.
0, 1, 22/9
Let -3*b**3 - 1458*b**2 + 3*b + 1458 = 0. Calculate b.
-486, -1, 1
Let -32*q**4/5 - 1408*q**3/5 - 15486*q**2/5 + 88*q/5 + 968/5 = 0. What is q?
-22, -1/4, 1/4
Find w, given that 3*w**5 + 6*w**4 - 48*w**3 - 6*w**2 + 45*w = 0.
-5, -1, 0, 1, 3
Factor 4*u**2/5 + 8*u/5.
4*u*(u + 2)/5
Solve 4*p**4 + 6*p**3 + 2*p**2 = 0.
-1, -1/2, 0
What is k in -2*k**2/7 - 2*k = 0?
-7, 0
Find i such that -60*i**3 - 712*i**2 - 2064*i + 288 = 0.
-6, 2/15
Find g such that -27*g**5 - 8685*g**4 - 679341*g**3 + 3069489*g**2 - 3176544*g + 956484 = 0.
-163, 2/3, 3
What is i in 28*i**5/9 - 1084*i**4/9 + 752*i**3/9 + 304*i**2/9 = 0?
-2/7, 0, 1, 38
What is a in -15*a**4 + 261*a**3 - 912*a**2 - 756*a + 432 = 0?
-1, 2/5, 6, 12
Suppose -85*j**4 - 665*j**3 - 1580*j**2 - 1060*j + 240 = 0. Calculate j.
-4, -2, 3/17
Factor -3*m**5/7 + 12*m**4/7 - 3*m**3/7 - 30*m**2/7 + 12*m/7 + 24/7.
-3*(m - 2)**3*(m + 1)**2/7
Determine d so that -45*d**4 + 1225*d**3 - 1170*d**2 - 6820*d + 1560 = 0.
-2, 2/9, 3, 26
Factor 3*w**5/7 - 6*w**4/7 - 24*w**3/7.
3*w**3*(w - 4)*(w + 2)/7
Factor 2*v**3/9 - 244*v**2/9 - 2*v/9 + 244/9.
2*(v - 122)*(v - 1)*(v + 1)/9
Let -15*n**5 - 84*n**4 - 99*n**3 + 114*n**2 + 156*n - 72 = 0. What is n?
-3, -2, 2/5, 1
Determine b, given that -5*b**3 - 1735*b**2 - 5170*b - 3440 = 0.
-344, -2, -1
Find i, given that -2*i**3/15 - 1652*i**2/15 - 22632*i + 228528/5 = 0.
-414, 2
Factor -27*a**2 - 5622*a - 1248.
-3*(a + 208)*(9*a + 2)
Factor 3*g**3 + 99*g**2 + 513*g - 5415.
3*(g - 5)*(g + 19)**2
Solve -4*a**3 - 52*a**2 + 192*a = 0 for a.
-16, 0, 3
Determine y so that -14*y**5 - 4*y**4 + 56*y**3 + 16*y**2 = 0.
-2, -2/7, 0, 2
Factor -f**2 - 55*f + 114.
-(f - 2)*(f + 57)
Factor -5*k**2 + 190*k + 1075.
-5*(k - 43)*(k + 5)
Find v, given that -405*v**4 + 114030*v**3 - 8001065*v**2 - 3572940*v - 397620 = 0.
-2/9, 141
Determine j so that -3*j**2/2 + 564*j + 1134 = 0.
-2, 378
Find t such that -3*t**5 - 42*t**4 + 174*t**3 + 312*t**2 - 819*t - 918 = 0.
-17, -2, -1, 3
Solve t**5 + 3*t**4 + 3*t**3 + t**2 = 0.
-1, 0
Factor 735*y**3 + 1473*y**2 + 741*y + 3.
3*(y + 1)**2*(245*y + 1)
Factor -3*p**3/5 - 1512*p**2/5 - 37179*p + 234090.
-3*(p - 6)*(p + 255)**2/5
Factor -2*r**5/7 - 916*r**4/7 - 106698*r**3/7 - 415864*r**2/7 - 412232*r/7.
-2*r*(r + 2)**2*(r + 227)**2/7
Factor -4*s**4 + 336*s**3 + 344*s**2 - 336*s - 340.
-4*(s - 85)*(s - 1)*(s + 1)**2
Solve 4*k**3 - 540*k**2 + 10428*k - 54692 = 0 for k.
11, 113
Factor 2*h**4/5 - 38*h**3/5 + 214*h**2/5 - 322*h/5 + 144/5.
2*(h - 9)*(h - 8)*(h - 1)**2/5
Factor 15*q**5 - 145*q**4 + 90*q**3.
5*q**3*(q - 9)*(3*q - 2)
Solve 8*m**4/9 + 22*m**3/9 - 14*m**2/9 - 22*m/9 + 2/3 = 0 for m.
-3, -1, 1/4, 1
Factor 2*d**2/3 + 316*d/15 - 128/15.
2*(d + 32)*(5*d - 2)/15
Factor -6*h**3 - 4*h**2 + 2*h.
-2*h*(h + 1)*(3*h - 1)
Solve -9*h**5 - 102*h**4 + 81*h**3 + 1182*h**2 - 792*h = 0 for h.
-11, -4, 0, 2/3, 3
Suppose 2*x**2/15 + 116*x/5 - 70/3 = 0. What is x?
-175, 1
Factor -i**3/10 + 7*i/10 + 3/5.
-(i - 3)*(i + 1)*(i + 2)/10
Factor -p**3/3 + 10*p**2 - 96*p + 288.
-(p - 12)**2*(p - 6)/3
Factor 4*s**2 - 1672*s + 174724.
4*(s - 209)**2
Factor -578*j**4 - 1020*j**3 + 264*j**2 - 16*j.
-2*j*(j + 2)*(17*j - 2)**2
Let -42*m**5/5 - 2*m**4/5 + 74*m**3/5 - 6*m**2/5 - 32*m/5 + 8/5 = 0. What is m?
-1, 2/7, 2/3, 1
Suppose 2*v**4 + 180*v**3 - 552*v**2 + 556*v - 186 = 0. What is v?
-93, 1
Factor -4*n**2 - 244*n.
-4*n*(n + 61)
Factor 64*r**3/3 + 316*r**2/3 + 364*r/3 - 8.
4*(r + 2)*(r + 3)*(16*r - 1)/3
Factor -2*p**3/5 + 94*p**2/5 - 230*p + 1058/5.
-2*(p - 23)**2*(p - 1)/5
Factor -w**5/4 + 7*w**4/4 - 3*w**3.
-w**3*(w - 4)*(w - 3)/4
Factor -3*q**3 + 36*q**2 - 108*q.
-3*q*(q - 6)**2
Factor 3*h**3 + 6*h**2 - 21*h + 12.
3*(h - 1)**2*(h + 4)
Determine g so that -2*g**4/5 - 3*g**3 - 19*g**2/5 - 6*g/5 = 0.
-6, -1, -1/2, 0
Suppose 2*q**5/3 - 64*q**4 + 4000*q**3/3 + 9660*q**2 + 18666*q + 10404 = 0. What is q?
-3, -2, -1, 51
Factor -3*c**4 + 51*c**3 - 252*c**2 + 324*c.
-3*c*(c - 9)*(c - 6)*(c - 2)
Determine b so that -2*b**2/11 + 20*b/11 - 42/11 = 0.
3, 7
Suppose -j**3/11 + 222*j**2/11 - 1289*j/11 - 1512/11 = 0. Calculate j.
-1, 7, 216
Suppose -15*o**4 - 186*o**3 + 252*o**2 + 5994*o - 3645 = 0. What is o?
-9, 3/5, 5
Factor -4*w**5 - 264*w**4 - 1016*w**3 - 1504*w**2 - 996*w - 248.
-4*(w + 1)**4*(w + 62)
Find m such that 2*m**2 + 668*m + 666 = 0.
-333, -1
Factor 2*b**3/5 + 12*b**2/5 + 22*b/5 + 12/5.
2*(b + 1)*(b + 2)*(b + 3)/5
Factor 2*i**3 + 110*i**2 + 416*i + 408.
2*(i + 2)**2*(i + 51)
Factor 5*f**5 - 65*f**4.
5*f**4*(f - 13)
Factor -6*g**3 + 81*g**2 - 255*g + 108.
-3*(g - 9)*(g - 4)*(2*g - 1)
Find p such that 3*p**4 + 36*p**3/7 - 75*p**2/7 + 18*p/7 = 0.
-3, 0, 2/7, 1
Find r such that 16*r**4 - 180*r**3 + 332*r**2 - 72*r = 0.
0, 1/4, 2, 9
Let -7*z**3 + 516*z**2 + 673*z + 150 = 0. What is z?
-1, -2/7, 75
Factor 4*r**2 + 64*r + 192.
4*(r + 4)*(r + 12)
Factor 5*z**3 - 2390*z**2 + 285605*z.
5*z*(z - 239)**2
Factor 6*g**3 + 32*g**2 - 26*g - 12.
2*(g - 1)*(g + 6)*(3*g + 1)
Factor -3*r**4/2 + 1083*r**3 - 393123*r**2/2 + 389880*r - 194400.
-3*(r - 360)**2*(r - 1)**2/2
Factor 2*w**3/11 + 4*w**2/11 - 38*w/11 - 40/11.
2*(w - 4)*(w + 1)*(w + 5)/11
Suppose 4*i**2 - 12*i + 8 = 0. What is i?
1, 2
Solve 2*g**3 + 4*g**2 = 0.
-2, 0
Factor -p**4/6 + 85*p**3/6 - 289*p**2 - 9826*p/3 + 334084/3.
-(p - 34)**3*(p + 17)/6
Factor -y**3/5 + y**2 + 13*y/5 + 7/5.
-(y - 7)*(y + 1)**2/5
Factor -27*x**5/2 + 155817*x**4/2 - 112441437*x**3 + 112389503*x**2 - 74914795*x/2 + 8323225/2.
-(x - 2885)**2*(3*x - 1)**3/2
Factor -3*j**2/2 + 15*j/2 - 9.
-3*(j - 3)*(j - 2)/2
Factor 3*i**2 - 5994*i + 2994003.
3*(i - 999)**2
Solve -3*s**3/7 - 339*s**2 + 4755*s/7 - 2379/7 = 0.
-793, 1
Solve 15*q**3/4 - 19*q**2/4 - 5*q - 1 = 0 for q.
-2/5, -1/3, 2
Factor -2*w**4 + 12*w**3 - 8*w**2 - 12*w + 10.
-2*(w - 5)*(w - 1)**2*(w + 1)
Solve n**5/3 + 13*n**4/3 + 31*n**3/3 - 101*n**2/3 - 140*n/3 + 196/3 = 0.
-7, -2, 1, 2
Factor -w**3/3 + 72*w**2 - 71*w - 430/3.
-(w - 215)*(w - 2)*(w + 1)/3
Find f, given that -2*f**3 + 43*f**2/2 + 7*f - 33/2 = 0.
-1, 3/4, 11
Factor -3*p**3 + 168*p**2 + 345*p + 174.
-3*(p - 58)*(p + 1)**2
Factor -6*l**2/5 + 246*l/5 - 888/5.
-6*(l - 37)*(l - 4)/5
Find j, given that 4*j**5 + 24*j**4 - 76*j**3 - 80*j**2 + 144*j + 128 = 0.
-8, -1, 2
Find x, given that -2*x**3 - 26*x**2 + 268*x - 240 = 0.
-20, 1, 6
Factor 3*g**4/2 + 12*g**3 + 30*g**2 + 24*g.
3*g*(g + 2)**2*(g + 4)/2
Determine s so that -2*s**3/15 + 8*s/15 = 0.
-2, 0, 2
Factor 2*s**3 + 2*s**2 - 8*s - 8.
2*(s - 2)*(s + 1)*(s + 2)
Factor -5*v**2 - 6540*v - 2138580.
-5*(v + 654)**2
Suppose -5*m**5 - 10*m**4 + 10*m**3 + 20*m**2 - 5*m - 10 = 0. What is m?
-2, -1, 1
Solve 5*u**5 - 1010*u**4 - 3065*u**3 - 2050*u**2 = 0.
-2, -1, 0, 205
Factor 1078*s**5 + 1204*s**4 + 424*s**3 + 48*s**2.
2*s**2*(7*s + 2)**2*(11*s + 6)
Let -39*l**5 + 774*l**4 - 4482*l**3 + 6312*l**2 - 2079*l - 486 = 0. What is l?
-2/13, 1, 9
Factor -10*r**4/13 - 2*r**3 - 12*r**2/13.
-2*r**2*(r + 2)*(5*r + 3)/13
Suppose -s**2/6 - 7*s/6 - 2 = 0. What is s?
-4, -3
Solve 2*j**5/5 - 2*j**4 + 4*j**3/5 + 8*j**2 - 48*j/5 = 0.
-2, 0, 2, 3
Solve -3*y**3/4 - 3*y**2/2 + 63*y/4 - 27/2 = 0 for y.
-6, 1, 3
Determine x so that -x**5/2 + x**4 + 29*x**3/2 - 15*x**2 = 0.
-5, 0, 1, 6
Factor 16*h**3 - 2*h**2 - 16*h + 2.
2*(h - 1)*(h + 1)*(8*h - 1)
Let -2*t**3/13 + 16*t**2/13 - 40*t/13 + 32/13 = 0. Calculate t.
2, 4
Find a such t