5
Factor 2*w**4 - 148*w**3 + 2736*w**2 + 148*w - 2738.
2*(w - 37)**2*(w - 1)*(w + 1)
Factor 2*u**2/3 + 100*u/3 + 1250/3.
2*(u + 25)**2/3
Determine k so that -3*k**3 - 489*k**2 - 1920*k - 1908 = 0.
-159, -2
Find p such that 17*p**4 - 61*p**3 + 16*p**2 + 124*p - 96 = 0.
-24/17, 1, 2
Factor -121*k**3/2 + 836*k**2 + 307*k/2 + 7.
-(k - 14)*(11*k + 1)**2/2
Suppose -5*f**3/2 - 85*f**2 - 305*f/2 + 240 = 0. Calculate f.
-32, -3, 1
Determine f so that 12*f**2 + 1551*f - 1170 = 0.
-130, 3/4
Let -c**2 - 49*c - 48 = 0. What is c?
-48, -1
Factor 2*z**3 + 866*z**2 + 10176*z + 30312.
2*(z + 6)**2*(z + 421)
Factor -5*r**2 - 240*r - 2880.
-5*(r + 24)**2
Factor c**4/8 - 23*c**3/4 + 529*c**2/8.
c**2*(c - 23)**2/8
Factor 338*f**5/5 + 3094*f**4/5 + 9596*f**3/5 + 10548*f**2/5 + 1458*f/5 + 54/5.
2*(f + 3)**3*(13*f + 1)**2/5
Find w, given that 3*w**3 - 183*w**2 - 576*w = 0.
-3, 0, 64
Factor -a**3/3 - 67*a**2/3 + 4*a/3 + 268/3.
-(a - 2)*(a + 2)*(a + 67)/3
Find v such that 2*v**2 + 184*v = 0.
-92, 0
Factor 3*j**5 - 6*j**4 + 3*j**3.
3*j**3*(j - 1)**2
Factor -5*t**3 - 145*t**2 + 1025*t - 875.
-5*(t - 5)*(t - 1)*(t + 35)
Determine q, given that 2*q**4 - 86*q**3 + 394*q**2 - 538*q + 228 = 0.
1, 3, 38
Suppose 2*l**5/17 + 8*l**4/17 + 2*l**3/17 - 28*l**2/17 - 40*l/17 - 16/17 = 0. Calculate l.
-2, -1, 2
Let -2*z**4 + 22*z**3 + 50*z**2 + 26*z = 0. What is z?
-1, 0, 13
Factor 4*y**4 - 28*y**3 - 156*y**2 + 812*y + 1960.
4*(y - 7)**2*(y + 2)*(y + 5)
Solve -5*h**5 - 65*h**4 - 140*h**3 + 160*h**2 + 640*h + 400 = 0 for h.
-10, -2, -1, 2
Factor 21*j**3/4 - 9*j**2 - 3*j.
3*j*(j - 2)*(7*j + 2)/4
Suppose 3*d**3 + 969*d**2 + 78729*d + 77763 = 0. Calculate d.
-161, -1
Factor -x**3/6 + 15*x**2/2 + 432*x + 4374.
-(x - 81)*(x + 18)**2/6
Factor -221*d**2 - 215*d + 6.
-(d + 1)*(221*d - 6)
Suppose 5*y**3 + 3125*y**2 + 489840*y + 486720 = 0. Calculate y.
-312, -1
Determine p so that -10*p**5 - 45*p**4 + 85*p**3 - 30*p**2 = 0.
-6, 0, 1/2, 1
Factor 5*c**4 + 115*c**3 - 515*c**2 + 665*c - 270.
5*(c - 2)*(c - 1)**2*(c + 27)
Find c, given that -5*c**5/6 + 167*c**4/6 - 109*c**3/3 - 32*c**2 = 0.
-3/5, 0, 2, 32
Solve 2*b**3/25 + 432*b**2/25 + 86*b/5 = 0.
-215, -1, 0
Let 3*f**4/4 + 309*f**3/4 + 891*f**2/2 + 879*f + 582 = 0. What is f?
-97, -2
Factor -3*c**5 - 39*c**4/4 - 45*c**3/4 - 21*c**2/4 - 3*c/4.
-3*c*(c + 1)**3*(4*c + 1)/4
Solve 4*l**2 + 3036*l - 3040 = 0 for l.
-760, 1
Find p such that p**5/6 - p**4 + 4*p**3/3 = 0.
0, 2, 4
Find g, given that 14739*g**4 - 105774*g**3 + 18360*g**2 - 1074*g + 21 = 0.
1/17, 7
Factor 24*f**2/7 + 34*f/7 + 12/7.
2*(3*f + 2)*(4*f + 3)/7
Solve 2*m**4 + 1136*m**3/3 - 5716*m**2/9 + 2672*m/9 - 382/9 = 0.
-191, 1/3, 1
Suppose -18*u**3/5 + 636*u**2/5 - 42*u = 0. Calculate u.
0, 1/3, 35
Factor -u**4/3 + 13*u**3/3 - 16*u**2/3 - 64*u.
-u*(u - 8)**2*(u + 3)/3
Determine t, given that -3*t**5 - 18*t**4 - 21*t**3 + 18*t**2 + 24*t = 0.
-4, -2, -1, 0, 1
Factor -2*y**2/17 + 3368*y/17 - 1417928/17.
-2*(y - 842)**2/17
Factor -4*u**2 + 22440*u - 31472100.
-4*(u - 2805)**2
Determine p, given that 2*p**5/7 - 52*p**4/7 + 48*p**3/7 + 4148*p**2/7 + 578*p = 0.
-7, -1, 0, 17
Solve -5*j**4/3 - 35*j**3/3 - 10*j**2/3 + 140*j/3 + 40 = 0.
-6, -2, -1, 2
Determine x so that -3*x**3/5 - 6*x**2 - 96*x/5 - 96/5 = 0.
-4, -2
Suppose -2*h**4 + 22*h**3 - 34*h**2 - 22*h + 36 = 0. What is h?
-1, 1, 2, 9
Factor 5*j**3 + 2565*j**2 + 438615*j + 25001055.
5*(j + 171)**3
Determine u so that u**3 + 11*u**2 + 8*u - 20 = 0.
-10, -2, 1
Suppose 4*c**3 - 828*c**2 + 44064*c - 124848 = 0. Calculate c.
3, 102
Solve -3*m**3 - 6*m**2 + 9*m = 0.
-3, 0, 1
Determine n, given that -2*n**4/3 + 46*n**3/3 + 16*n**2 = 0.
-1, 0, 24
Factor 3*f**4/5 + 159*f**3/5 - 66*f**2.
3*f**2*(f - 2)*(f + 55)/5
Solve 3*b**3 - 306*b**2 + 10404*b - 117912 = 0 for b.
34
Solve w**2 + 3657*w - 3658 = 0 for w.
-3658, 1
Suppose 2*q**5/17 + 4*q**4/17 - 26*q**3/17 + 20*q**2/17 = 0. Calculate q.
-5, 0, 1, 2
Find w such that -w**3/4 - 117*w**2/4 - 4563*w/4 - 59319/4 = 0.
-39
Suppose 2*z**4/9 + 14*z**3/9 + 20*z**2/9 = 0. What is z?
-5, -2, 0
Factor -2*z**4/5 - 93*z**3 - 27144*z**2/5 - 13456*z/5.
-z*(z + 116)**2*(2*z + 1)/5
Factor -4*j**2 - 17*j + 15.
-(j + 5)*(4*j - 3)
Factor -2*x**3 + 56*x**2 + 920*x + 1600.
-2*(x - 40)*(x + 2)*(x + 10)
Find r, given that -5*r**3 + 155*r**2 + 325*r + 165 = 0.
-1, 33
Factor u**2/2 - 34*u + 67/2.
(u - 67)*(u - 1)/2
Let l**5/4 - l**4/4 - 45*l**3/4 - 83*l**2/4 - 10*l = 0. What is l?
-5, -1, 0, 8
Factor 3*s**4/4 - 9*s**3/2 + 9*s**2 - 6*s.
3*s*(s - 2)**3/4
Find j, given that 4*j**5 + 32*j**4 - 8*j**3 - 64*j**2 + 4*j + 32 = 0.
-8, -1, 1
Factor y**3/5 + y**2 + 8*y/5 + 4/5.
(y + 1)*(y + 2)**2/5
Factor -2*i**2/21 - 274*i/7 + 824/21.
-2*(i - 1)*(i + 412)/21
Factor -2*i**3/15 - 6*i**2/5 - 2*i - 14/15.
-2*(i + 1)**2*(i + 7)/15
What is z in -130*z**2/17 + 394*z/17 - 12/17 = 0?
2/65, 3
Suppose -n**5/3 - n**4 - 2*n**3/3 = 0. Calculate n.
-2, -1, 0
Let -2*v**5/3 - 64*v**4/9 - 232*v**3/9 - 320*v**2/9 - 128*v/9 = 0. Calculate v.
-4, -2, -2/3, 0
Factor 2*y**2/7 - 26*y.
2*y*(y - 91)/7
Suppose 2*m**2/5 + 4284*m + 11470410 = 0. What is m?
-5355
What is l in -225*l**5 + 1155*l**4 - 1566*l**3 + 756*l**2 - 120*l = 0?
0, 2/5, 1, 10/3
Find i, given that -2*i**5/3 - 2*i**4 + 8*i**3/3 = 0.
-4, 0, 1
Let -3*d**3 - 117*d**2 - 24*d + 3420 = 0. Calculate d.
-38, -6, 5
Factor 5*m**2 + 325*m + 2520.
5*(m + 9)*(m + 56)
Solve z**3/6 + 2699*z**2/6 + 1822499*z/6 + 1819801/6 = 0.
-1349, -1
Find v, given that -2*v**4/5 - 2*v**3/5 + 12*v**2/5 = 0.
-3, 0, 2
Factor h**2/8 - 43*h/8.
h*(h - 43)/8
Factor 4*r**3 + 4*r**2.
4*r**2*(r + 1)
Find c, given that 2*c**5/7 + 32*c**4/7 + 202*c**3/7 + 628*c**2/7 + 960*c/7 + 576/7 = 0.
-4, -3, -2
What is n in 19*n**5/5 - 16*n**4/5 - 3*n**3/5 = 0?
-3/19, 0, 1
Let -2*n**3/5 - 344*n**2/5 + 346*n/5 = 0. Calculate n.
-173, 0, 1
Factor -3*r**4 - 65*r**3 - 339*r**2 - 603*r - 270.
-(r + 3)**2*(r + 15)*(3*r + 2)
Let h**4/3 + 250*h**3/3 + 5124*h**2 - 10584*h = 0. What is h?
-126, 0, 2
Suppose 5*o**3 - 1140*o**2 + 63825*o + 132250 = 0. Calculate o.
-2, 115
Factor -484*h**3/3 - 3168*h**2 + 1168*h - 320/3.
-4*(h + 20)*(11*h - 2)**2/3
Suppose 3*z**5/2 + 12*z**4 + 27*z**3 + 6*z**2 - 57*z/2 - 18 = 0. What is z?
-4, -3, -1, 1
Factor j**5 + 9*j**4 + 27*j**3 + 31*j**2 + 12*j.
j*(j + 1)**2*(j + 3)*(j + 4)
Find n, given that -2*n**4/9 + 4*n**3/3 - 14*n**2/9 - 4*n/3 + 16/9 = 0.
-1, 1, 2, 4
Factor -3*x**3/2 + 30*x**2 - 111*x/2 + 27.
-3*(x - 18)*(x - 1)**2/2
Factor 3*p**2 + 4884*p + 1987788.
3*(p + 814)**2
Factor -z**3 + 15*z**2 - 8*z - 84.
-(z - 14)*(z - 3)*(z + 2)
Let -2*c**4/7 + 30*c**3/7 + 142*c**2/7 + 186*c/7 + 76/7 = 0. Calculate c.
-2, -1, 19
Determine q, given that 2*q**2/5 + 28*q/5 = 0.
-14, 0
Factor -t**3/4 - 7*t**2/4 + 257*t/2 + 130.
-(t - 20)*(t + 1)*(t + 26)/4
Factor a**3/2 + 7*a**2 + 30*a + 36.
(a + 2)*(a + 6)**2/2
Factor -o**4/3 + 5*o**3/3.
-o**3*(o - 5)/3
Factor -3*v**3/2 - 12*v**2 + 66*v - 72.
-3*(v - 2)**2*(v + 12)/2
Solve -2*x**3 - 16*x**2 + 2*x + 16 = 0.
-8, -1, 1
Factor -2*l**4 + 46*l**3 + 50*l**2 - 46*l - 48.
-2*(l - 24)*(l - 1)*(l + 1)**2
Determine x so that x**3/4 - 3*x**2/4 - x + 3 = 0.
-2, 2, 3
Factor -2*r**4 - 28*r**3.
-2*r**3*(r + 14)
Factor -5*p**2 - 4020*p.
-5*p*(p + 804)
Determine v, given that -2*v**4/9 + 8*v**3/9 + 86*v**2/9 - 116*v/9 - 160/3 = 0.
-5, -2, 3, 8
Factor -h**4 + 33*h**3 - 120*h**2 + 116*h.
-h*(h - 29)*(h - 2)**2
Solve 5*i**2 - 2035*i + 4050 = 0 for i.
2, 405
Let 2*x**3/3 - 14*x**2/3 + 28*x/3 - 16/3 = 0. Calculate x.
1, 2, 4
What is p in -2*p**2 + 36*p + 38 = 0?
-1, 19
Factor -2*t**3/5 + 126*t**2/5 - 2646*t/5 + 18522/5.
-2*(t - 21)**3/5
Suppose -10*d**3 + 95*d**2 - 40*d - 45 = 0. Calculate d.
-1/2, 1, 9
Factor -5*q**3 - 85*q**2 + 185*q - 95.
-5*(q - 1)**2*(q + 19)
Factor -q**3 - 43*q**2 - 82*q.
-q*(q + 2)*(q + 41)
Factor q**4 - 15*q**3 + 27*q**2 - 13*q.
q*(q - 13)*(q - 1)**2
Determine i, given that 2*i**2 + 1996*i - 4000 = 0.
-1000, 2
Solve f**2 + 200*f + 10000 = 0.
-100
Factor -j**3 - 474*j**2 - 74892*j - 3944312.
-(j + 158)**3
Solve 2*y**5/3 - 1502*y**4/3 - 6032*y**3/3 - 6040*y**2/3 = 0.
-2, 0, 755
Solve -3*r**3 - 3*r**2 + 3*r + 3 = 0 for r.
-1, 1
Solve -z**2 - 41*z = 0 for z.
-41, 0
Let y**5/5 + 199*y**4 + 79202*y**3 + 15761198*y**2 + 1568239201*y + 312079600999/5 = 0. What is y?
-199
Solve 3*o**2 - 135*o + 132 = 0