*j**4 + 96*j**3 + 64*j**2 - 320*j - 384.
-4*(j - 6)*(j - 2)*(j + 2)**3
Determine f so that -2*f**2/11 - 56*f/11 + 1290/11 = 0.
-43, 15
Let 8*p**4/5 + 64*p**3/5 + 138*p**2/5 + 18*p = 0. What is p?
-5, -3/2, 0
Factor -q**2/2 + 5*q/2 + 25.
-(q - 10)*(q + 5)/2
Factor 3*i**4 + 372*i**3 + 13401*i**2 + 108528*i - 122304.
3*(i - 1)*(i + 13)*(i + 56)**2
Factor 5*y**3/3 - 2365*y**2/3 + 3900*y.
5*y*(y - 468)*(y - 5)/3
Solve -11*t**2/5 - 1138*t/5 + 624/5 = 0 for t.
-104, 6/11
Factor 20*c**2/9 + 182*c/9 + 76/3.
2*(2*c + 3)*(5*c + 38)/9
Find i such that -i**4/8 - 3*i**3/2 - 45*i**2/8 - 29*i/4 - 3 = 0.
-6, -4, -1
Find a such that 45*a**3 - 150360*a**2 - 100255*a - 16710 = 0.
-1/3, 3342
Solve m**5/4 + 5*m**4/2 + 21*m**3/4 - 8*m**2 - 23*m - 12 = 0 for m.
-6, -4, -1, 2
Factor 3*l**3 + 19*l**2/2 - 28*l + 31/2.
(l - 1)**2*(6*l + 31)/2
Factor 16*l**3/7 + 4488*l**2 + 2937396*l + 640841894.
2*(2*l + 1309)**3/7
Factor 5*g**3 + 1695*g**2 + 144495*g + 142805.
5*(g + 1)*(g + 169)**2
Factor -4*f**2 + 152*f + 320.
-4*(f - 40)*(f + 2)
Factor 4*d**3 - 124*d**2 + 232*d.
4*d*(d - 29)*(d - 2)
Factor m**3/5 + 13*m**2/5 + 46*m/5 + 48/5.
(m + 2)*(m + 3)*(m + 8)/5
Let 2*d**5/3 - 8*d**4/3 + 20*d**2/3 - 2*d/3 - 4 = 0. What is d?
-1, 1, 2, 3
Factor -2*c**2 + 1240*c - 192200.
-2*(c - 310)**2
Let -3*u**4/5 - 15*u**3 - 633*u**2/5 - 441*u - 540 = 0. What is u?
-12, -5, -3
Suppose -52*h**3 - 200*h**2 - 176*h + 32 = 0. Calculate h.
-2, 2/13
Factor 2*h**4 + 40*h**3 - 44*h**2 - 40*h + 42.
2*(h - 1)**2*(h + 1)*(h + 21)
Determine g so that -3*g**5/7 - 27*g**4/7 + 75*g**3/7 + 75*g**2/7 - 36*g + 132/7 = 0.
-11, -2, 1, 2
What is r in -9*r**4/7 - 111*r**3/7 - 201*r**2/7 + 591*r/7 - 270/7 = 0?
-9, -5, 2/3, 1
Factor 1225*f**2 + 420*f + 36.
(35*f + 6)**2
Suppose -8*t**2/9 - 106*t - 238/9 = 0. What is t?
-119, -1/4
Factor 2*a**4 - 679*a**3 + 58137*a**2 - 86021*a + 28561.
(a - 169)**2*(a - 1)*(2*a - 1)
Factor -4*m**3 - 188*m**2 + 9860*m - 93636.
-4*(m - 17)**2*(m + 81)
Find s such that 9*s**2/4 + 1311*s/4 + 435/2 = 0.
-145, -2/3
Factor -q**4/3 - 112*q**3/3 - 1568*q**2 - 87808*q/3 - 614656/3.
-(q + 28)**4/3
Factor -14*l**3 - 666*l**2 - 7776*l + 3456.
-2*(l + 24)**2*(7*l - 3)
Suppose 4*t**3 + 64*t**2/9 - 304*t/9 + 64/9 = 0. Calculate t.
-4, 2/9, 2
Factor -5*i**3 - 135*i**2 + 1445*i + 1575.
-5*(i - 9)*(i + 1)*(i + 35)
Suppose -6*z**4 - 356*z**3/5 + 48*z**2/5 = 0. Calculate z.
-12, 0, 2/15
Factor -5*h**4 + 15*h**3 - 20*h.
-5*h*(h - 2)**2*(h + 1)
Factor 2*s**2/11 - 496*s + 338272.
2*(s - 1364)**2/11
Determine a so that 5*a**5 + 15*a**4 - 40*a**3 - 60*a**2 + 80*a = 0.
-4, -2, 0, 1, 2
Factor -2*t**4/5 - 12*t**3/5 + 24*t**2 - 272*t/5 + 192/5.
-2*(t - 2)**3*(t + 12)/5
Suppose -2*y**4/7 + 38*y**3/7 + 56*y**2 + 1048*y/7 + 864/7 = 0. What is y?
-4, -2, 27
Factor -3*p**3 - 213*p**2 + 4563*p - 21627.
-3*(p - 9)**2*(p + 89)
What is c in -2*c**5/3 + 40*c**4/3 - 256*c**3/3 + 716*c**2/3 - 298*c + 132 = 0?
1, 2, 3, 11
Suppose -2*a**5 - 22*a**4 + 346*a**3 - 298*a**2 - 344*a + 320 = 0. Calculate a.
-20, -1, 1, 8
Find y such that 2*y**2 + 46*y/5 - 56/5 = 0.
-28/5, 1
Factor -36*a**4 + 1392*a**3 - 901*a**2 - 417*a - 38.
-(a - 38)*(a - 1)*(6*a + 1)**2
Find k, given that 21*k**5 + 5511*k**4/5 - 14667*k**3/5 - 8103*k**2/5 - 198*k = 0.
-55, -2/7, -1/5, 0, 3
Suppose 35*j**4 - 705*j**3 + 1855*j**2 + 345*j - 1530 = 0. Calculate j.
-6/7, 1, 3, 17
Factor 5*i**4 + 65*i**3 + 55*i**2 - 65*i - 60.
5*(i - 1)*(i + 1)**2*(i + 12)
Solve 2*q**2/3 - 76*q/3 - 26 = 0 for q.
-1, 39
Factor 3*i**2 + 45*i - 228.
3*(i - 4)*(i + 19)
Factor 3*s**2/7 + 60*s/7.
3*s*(s + 20)/7
Factor -3*w**4 - 138*w**3 - 1440*w**2 + 3456*w.
-3*w*(w - 2)*(w + 24)**2
Factor 2*q**4/7 - 24*q**2/7 + 32*q/7.
2*q*(q - 2)**2*(q + 4)/7
Suppose 4*q**2 + 600*q = 0. Calculate q.
-150, 0
Let -2*n**4 - 62*n**3 - 110*n**2 + 174*n = 0. Calculate n.
-29, -3, 0, 1
Determine o so that -2*o**2 + 1956*o - 478242 = 0.
489
Factor 9*i**4/4 - 7*i**3 + 29*i**2/4 - 5*i/2.
i*(i - 1)**2*(9*i - 10)/4
Suppose 3*h**5 - 7*h**4 - 9*h**3 + 7*h**2 + 6*h = 0. Calculate h.
-1, -2/3, 0, 1, 3
Solve -10*n**4 - 18*n**3 + 42*n**2 + 10*n - 24 = 0 for n.
-3, -4/5, 1
Let 3*t**2 - 942*t + 73947 = 0. Calculate t.
157
Suppose 2*t**3/9 + 4*t**2 + 166*t/9 + 44/3 = 0. What is t?
-11, -6, -1
Determine a, given that 2*a**3 - 216*a**2 = 0.
0, 108
Factor 4*p**2/7 - 412*p/7 - 12192/7.
4*(p - 127)*(p + 24)/7
Factor -t**2/9 - 148*t/9 - 64.
-(t + 4)*(t + 144)/9
Solve 3*l**2/2 - 141*l + 279/2 = 0.
1, 93
Factor -2*y**2/7 - 152*y/7 + 22.
-2*(y - 1)*(y + 77)/7
Determine a so that -2*a**3/13 + 680*a**2 - 751400*a = 0.
0, 2210
Factor 215*l**3 + 1065*l**2 + 1240*l - 60.
5*(l + 2)*(l + 3)*(43*l - 2)
Suppose -2*f**4/3 - 26*f**3/9 - 26*f**2/9 - 2*f/3 = 0. Calculate f.
-3, -1, -1/3, 0
Find c, given that c**2/7 - 164*c/7 + 6724/7 = 0.
82
Factor 3*p**4 - 15*p**3 - 129*p**2 - 201*p - 90.
3*(p - 10)*(p + 1)**2*(p + 3)
Find d such that -5*d**3/4 - 9*d**2/2 = 0.
-18/5, 0
Factor 4*j**5 - 4*j**4 - 60*j**3 - 92*j**2 - 40*j.
4*j*(j - 5)*(j + 1)**2*(j + 2)
What is t in 4*t**2 - 5472*t + 5468 = 0?
1, 1367
Factor 2*r**2/7 - 2416*r/7 + 729632/7.
2*(r - 604)**2/7
Factor 3*p**2 + 81*p + 78.
3*(p + 1)*(p + 26)
Find d, given that -2*d**3/7 - 192*d**2/7 - 6144*d/7 - 65536/7 = 0.
-32
Factor 5*z**2 + 45*z.
5*z*(z + 9)
Factor -12*v**2 + 69*v/2 + 9/2.
-3*(v - 3)*(8*v + 1)/2
Factor 2*w**2 + 6324*w/5 + 2528/5.
2*(w + 632)*(5*w + 2)/5
Suppose -q**3/4 + q**2/4 + 24*q - 99 = 0. Calculate q.
-11, 6
Factor -65*l**3 - 835*l**2 + 1040*l - 140.
-5*(l - 1)*(l + 14)*(13*l - 2)
Factor -c**4/6 - 29*c**3/6 - 275*c**2/6 - 847*c/6.
-c*(c + 7)*(c + 11)**2/6
Determine s, given that s**3 + 18*s**2 + 80*s + 96 = 0.
-12, -4, -2
Solve 25*y**2 - 3065*y - 1230 = 0 for y.
-2/5, 123
What is c in -2*c**5/23 + 14*c**4/23 + 4*c**3/23 - 120*c**2/23 + 144*c/23 = 0?
-3, 0, 2, 6
Suppose 3*c**3 + 189*c**2 - 1974*c - 2160 = 0. What is c?
-72, -1, 10
Find h such that -h**3/3 - 65*h**2/3 + 568*h/3 - 1168/3 = 0.
-73, 4
Find v such that 2*v**5 - 42*v**4 + 148*v**3 - 212*v**2 + 138*v - 34 = 0.
1, 17
Find j such that -2*j**4 + 1098*j**3 + 5524*j**2 + 8856*j + 4432 = 0.
-2, -1, 554
Suppose h**5/8 - 7*h**4/8 + 3*h**3/2 + h**2/2 - 2*h = 0. What is h?
-1, 0, 2, 4
Factor -2*c**2 - 210*c + 648.
-2*(c - 3)*(c + 108)
Suppose 36*x**5/5 + 204*x**4/5 + 44*x**3 - 284*x**2/5 - 192*x/5 + 144/5 = 0. Calculate x.
-3, -1, 2/3
Factor 5*x**2/6 - 3575*x/6.
5*x*(x - 715)/6
Factor 2*v**5/7 - 638*v**4/7 + 66086*v**3/7 - 2030234*v**2/7 - 19579888*v/7 - 41440928/7.
2*(v - 109)**3*(v + 4)**2/7
Factor 4*o**4 + 832*o**3 + 39744*o**2 - 373248*o.
4*o*(o - 8)*(o + 108)**2
What is x in 75*x**4 - 1070*x**3 + 11869*x**2/3 - 2996*x/3 + 196/3 = 0?
2/15, 7
What is k in 35*k**4 + 1235*k**3 + 350*k**2 = 0?
-35, -2/7, 0
Factor 3*x**3 + 1428*x**2 + 2847*x + 1422.
3*(x + 1)**2*(x + 474)
Factor -4*q**5 + 20*q**4 - 36*q**3 + 28*q**2 - 8*q.
-4*q*(q - 2)*(q - 1)**3
Determine v so that 6*v**4/5 + 22*v**3/5 + 22*v**2/5 + 2*v/5 - 4/5 = 0.
-2, -1, 1/3
Factor -m**3/5 + 14*m**2/5 + m/5 - 14/5.
-(m - 14)*(m - 1)*(m + 1)/5
Determine b, given that -b**5 + 46*b**4 + 50*b**3 - 140*b**2 - 49*b + 94 = 0.
-2, -1, 1, 47
Factor -2*q**4/15 + 4*q**3 + 66*q**2/5.
-2*q**2*(q - 33)*(q + 3)/15
Solve 16*x**4 + 348*x**3 - 456*x**2 + 92*x = 0 for x.
-23, 0, 1/4, 1
Determine d, given that 4*d**5 + 52*d**4 + 228*d**3 + 380*d**2 + 200*d = 0.
-5, -2, -1, 0
Factor -3*u**2 + 48*u + 780.
-3*(u - 26)*(u + 10)
Find z such that 3*z**3 - 18*z**2 + 36*z - 24 = 0.
2
Factor 64*w**5 - 1024*w**4 + 6496*w**3 - 20384*w**2 + 31556*w - 19208.
4*(w - 2)*(2*w - 7)**4
Factor -w**3/2 - 1131*w**2 - 4518*w - 4516.
-(w + 2)**2*(w + 2258)/2
Factor -5*b**2 - 190*b.
-5*b*(b + 38)
Determine q so that q**3/8 - 3*q**2/4 - 7*q/8 = 0.
-1, 0, 7
Let -c**2 - 800*c - 160000 = 0. Calculate c.
-400
Solve -4*n**5/5 - 11*n**4/5 + 19*n**3/5 - 4*n**2/5 = 0 for n.
-4, 0, 1/4, 1
Let 3*x**4 + 18*x**3 - 237*x**2 - 252*x = 0. Calculate x.
-12, -1, 0, 7
Let 2*h**4/5 - 4*h**3/5 - 8*h**2/5 + 4*h/5 + 6/5 = 0. What is h?
-1, 1, 3
Factor 5*l**5 + 15*l**4 - 390*l**3 - 1210*l**2 - 1215*l - 405.
5*(l - 9)*(l + 1)**3*(l + 9)
Factor -5*a**2 + 6520*a.
-5*a*(a - 1304)
Factor -v**3/7 + 2*v**2 - 32*v/7 - 128/7.
-(v - 8)**2*(v + 2)/7
Factor -5*i**3 + 80*i**2 - 345*i + 450.
-5*(i - 10)*(i - 3)**2
Factor -2*x**5 - 14*x**4 - 36*x**3 - 44*