o that -4*g**2 - 76*g - 240 = 0.
-15, -4
Determine j so that 5*j**5 - 930*j**4 - 5755*j**3 - 1080*j**2 + 23120*j - 15360 = 0.
-4, 1, 192
Find n, given that 2*n**4/5 - 32*n**3/5 + 86*n**2/5 + 24*n = 0.
-1, 0, 5, 12
Factor d**2 + 5*d + 4.
(d + 1)*(d + 4)
Factor 2*p**4/15 - 952*p**3/5 + 1016732*p**2/15 + 136136*p + 204490/3.
2*(p - 715)**2*(p + 1)**2/15
Solve 2*t**2/13 - 68*t/13 - 70/13 = 0.
-1, 35
Factor c**2/4 + 23*c/2 - 47/4.
(c - 1)*(c + 47)/4
Suppose 2*g**5/5 - 10*g**4 + 372*g**3/5 - 676*g**2/5 - 374*g/5 + 726/5 = 0. Calculate g.
-1, 1, 3, 11
Determine h, given that -2*h**2/11 + 8268*h/11 - 8266/11 = 0.
1, 4133
Let -2*c**2/5 + 168*c/5 - 3528/5 = 0. Calculate c.
42
Solve 27*i**5 - 108*i**4 - 126*i**3 - 44*i**2 - 5*i = 0.
-1/3, 0, 5
Let -12*m**2 + 19*m = 0. What is m?
0, 19/12
Factor 15125*g**5 - 16225*g**4 + 1120*g**3 - 20*g**2.
5*g**2*(g - 1)*(55*g - 2)**2
Factor q**4/4 + 11*q**3/2 + 35*q**2 + 109*q/2 + 99/4.
(q + 1)**2*(q + 9)*(q + 11)/4
Find z such that -5*z**5 + 40*z**4 + 135*z**3 - 370*z**2 + 200*z = 0.
-4, 0, 1, 10
Determine f so that 2*f**4/7 - 262*f**3/7 + 1374*f**2 - 64538*f/7 - 74420/7 = 0.
-1, 10, 61
What is l in -15*l**4 - 205*l**3 - 280*l**2 + 260*l + 240 = 0?
-12, -2, -2/3, 1
Suppose 2*h**4/5 - 2*h**3 - 4*h**2 + 8*h + 48/5 = 0. What is h?
-2, -1, 2, 6
Factor 12*m**2 - 4143*m + 1035.
3*(m - 345)*(4*m - 1)
Determine r so that 3*r**3/4 - 15*r**2/4 + 6*r - 3 = 0.
1, 2
Solve f**2/5 - 258*f/5 - 783/5 = 0 for f.
-3, 261
Suppose 2*t**2 + 24*t - 378 = 0. What is t?
-21, 9
Factor -7*v**3/3 - 22*v**2/3 - 23*v/3 - 8/3.
-(v + 1)**2*(7*v + 8)/3
What is k in -2*k**5/7 + 4*k**4/7 + 4*k**3/7 - 16*k**2/7 + 2*k - 4/7 = 0?
-2, 1
Factor 2*y**2/19 + 29656*y/19 + 109934792/19.
2*(y + 7414)**2/19
Factor 3*x**3 + 189*x**2 + 2880*x - 3072.
3*(x - 1)*(x + 32)**2
Find d, given that -2*d**3/7 + 54*d**2/7 - 270*d/7 + 54 = 0.
3, 21
Solve -2*y**2 + 640*y - 51200 = 0 for y.
160
Factor -4*i**2 + 8*i + 192.
-4*(i - 8)*(i + 6)
Suppose -5*m**3 + 225*m**2 - 2460*m + 4060 = 0. Calculate m.
2, 14, 29
Solve -i**4 + 17*i**3 - 86*i**2 + 172*i - 120 = 0 for i.
2, 3, 10
Find l such that -15*l**4 + 819*l**3 - 4215*l**2 + 4797*l + 2646 = 0.
-2/5, 3, 49
Solve -2*u**3/9 - 1610*u**2/9 - 4816*u/9 - 3208/9 = 0 for u.
-802, -2, -1
Suppose l**3/3 + l**2/3 - 27*l - 27 = 0. What is l?
-9, -1, 9
Factor 4*u**2 + 28*u - 72.
4*(u - 2)*(u + 9)
Let b**4 - 20*b**3 + 148*b**2 - 480*b + 576 = 0. Calculate b.
4, 6
Let 4*q**5/5 + 63*q**4/5 - 4*q**3 - 63*q**2/5 + 16*q/5 = 0. What is q?
-16, -1, 0, 1/4, 1
Suppose 5*f**2 - 17885*f = 0. What is f?
0, 3577
Find t such that -t**5/7 - 4*t**4/7 + 15*t**3/7 + 10*t**2/7 - 44*t/7 + 24/7 = 0.
-6, -2, 1, 2
Factor -2*a**4/9 + 6*a**3 - 54*a**2 + 162*a.
-2*a*(a - 9)**3/9
Factor b**5/5 - 14*b**4/5 + 12*b**3 - 106*b**2/5 + 83*b/5 - 24/5.
(b - 8)*(b - 3)*(b - 1)**3/5
Let 5*b**3 + 44*b**2/9 - b/3 - 2/9 = 0. What is b?
-1, -1/5, 2/9
Solve -23*v**5 + 44*v**4 + 165*v**3 + 106*v**2 + 8*v = 0.
-1, -2/23, 0, 4
Factor 5*u**3 + 110*u**2 + 380*u + 360.
5*(u + 2)**2*(u + 18)
Let 2*o**4/13 - 2*o**3 + 58*o**2/13 + 2*o - 60/13 = 0. Calculate o.
-1, 1, 3, 10
Let 3*x**4/5 + 21*x**3/5 - 24*x**2/5 = 0. Calculate x.
-8, 0, 1
What is f in -4*f**5/7 - 4*f**4/7 + 60*f**3/7 + 36*f**2/7 - 216*f/7 = 0?
-3, 0, 2, 3
Let -k**4/9 - 13*k**3/9 + k**2/3 + 41*k/9 + 26/9 = 0. Calculate k.
-13, -1, 2
Suppose a**3/4 - 79*a**2/4 + 429*a/2 = 0. Calculate a.
0, 13, 66
Solve -2*u**5 + 20*u**4/3 + 2*u**3 - 76*u**2/3 + 24*u - 16/3 = 0 for u.
-2, 1/3, 1, 2
Solve 79353*a**3 + 158712*a**2 + 79365*a + 6 = 0 for a.
-1, -2/26451
Factor v**5 + 77*v**4 + 1950*v**3 + 15548*v**2 - 17576*v.
v*(v - 1)*(v + 26)**3
Factor -4*p**4 + 44*p**3 + 48*p**2 - 1024*p - 1024.
-4*(p - 8)**2*(p + 1)*(p + 4)
Factor -f**2/5 - 157*f/5 + 2768/5.
-(f - 16)*(f + 173)/5
What is y in -y**3 - 57*y**2/2 - 234*y - 845/2 = 0?
-13, -5/2
Let u**4 + 26*u**3 + 213*u**2 + 572*u + 484 = 0. Calculate u.
-11, -2
Solve -5*t**4 - 134*t**3 - 804*t**2 + 1400*t + 1568 = 0 for t.
-14, -4/5, 2
Suppose -3*i**5 - 9*i**4 + 21*i**3 + 81*i**2 + 54*i = 0. What is i?
-3, -2, -1, 0, 3
Find s such that 3*s**2/8 + 3*s - 18 = 0.
-12, 4
Factor 5*k**5 + 15*k**4 - 20*k**3.
5*k**3*(k - 1)*(k + 4)
Factor 3*c**2/5 + 24*c + 693/5.
3*(c + 7)*(c + 33)/5
Factor -10*k**3 + 4155*k**2 + 10440*k + 4180.
-5*(k - 418)*(k + 2)*(2*k + 1)
Factor -2*d**3/3 + 2*d**2 + 50*d/3 + 14.
-2*(d - 7)*(d + 1)*(d + 3)/3
Find v such that -3*v**5 + 27*v**4 - 66*v**3 + 96*v = 0.
-1, 0, 2, 4
Factor -2*l**3/3 + 22*l**2 - 240*l + 864.
-2*(l - 12)**2*(l - 9)/3
Factor 2*i**4 + 28*i**3 + 50*i**2 - 696*i - 2520.
2*(i - 5)*(i + 6)**2*(i + 7)
Factor -45*r**2 - 265*r + 30.
-5*(r + 6)*(9*r - 1)
Let -4*v**2 + 28*v - 48 = 0. Calculate v.
3, 4
Let -4*a**2 + 632*a - 628 = 0. What is a?
1, 157
Factor 2*z**5/7 + 40*z**4/7 + 20*z**3 + 200*z**2/7 + 130*z/7 + 32/7.
2*(z + 1)**4*(z + 16)/7
Determine j so that 15*j**2/2 + 226*j + 30 = 0.
-30, -2/15
Solve -x**3 + 13*x**2/2 - 3*x = 0 for x.
0, 1/2, 6
Let -m**3/2 - 7*m**2 - 61*m/2 - 42 = 0. Calculate m.
-7, -4, -3
Factor 5*n**3 - 40*n**2/3 - 25*n/3 + 10.
5*(n - 3)*(n + 1)*(3*n - 2)/3
Suppose -2*v**5 - 30*v**4 - 88*v**3 + 248*v**2 + 384*v - 512 = 0. Calculate v.
-8, -2, 1, 2
Suppose -3*w**4/7 - 15*w**3/7 - 6*w**2/7 + 60*w/7 + 72/7 = 0. Calculate w.
-3, -2, 2
What is f in 2*f**2/19 + 544*f/19 + 36992/19 = 0?
-136
Solve -3*u**5/2 - 93*u**4/2 - 333*u**3/2 - 231*u**2/2 + 168*u + 162 = 0.
-27, -2, -1, 1
Let 3*a**5/7 - 45*a**4/7 - 234*a**3/7 + 78*a**2/7 + 711*a/7 - 513/7 = 0. Calculate a.
-3, 1, 19
What is g in 2*g**2/7 - 15756*g/7 + 31031442/7 = 0?
3939
Suppose -8*a**4/21 - 136*a**3/7 - 390*a**2/7 - 124*a/3 - 64/7 = 0. What is a?
-48, -2, -1/2
What is f in f**4/2 + 17*f**3/2 - 19*f**2/2 - 17*f/2 + 9 = 0?
-18, -1, 1
Suppose -2*m**4 - 112*m**3/3 + 4822*m**2/9 + 1108*m/3 + 560/9 = 0. What is m?
-28, -1/3, 10
Factor 5*o**4 - 155*o**3 + 1120*o**2 + 1280*o.
5*o*(o - 16)**2*(o + 1)
Find b such that -578*b**3/11 + 3502*b**2/11 - 3120*b/11 - 7200/11 = 0.
-1, 60/17
Factor -2*h**2 - 15768*h - 31078728.
-2*(h + 3942)**2
Factor -y**2 + 12*y - 32.
-(y - 8)*(y - 4)
Determine b so that -5*b**2 - 4145*b - 4140 = 0.
-828, -1
Let d**3/3 - 2*d**2 + 5*d/3 + 4 = 0. What is d?
-1, 3, 4
Factor 2*k**2/15 - 10*k/3 - 56/5.
2*(k - 28)*(k + 3)/15
Factor z**3/7 - 80*z**2/7 - 81*z/7.
z*(z - 81)*(z + 1)/7
Factor -j**3/6 + 3*j**2 - 11*j/2 + 8/3.
-(j - 16)*(j - 1)**2/6
Factor 5*y**3 + 90*y**2 - 105*y - 190.
5*(y - 2)*(y + 1)*(y + 19)
Factor -z**3/2 - 237*z**2/2 - 351*z.
-z*(z + 3)*(z + 234)/2
Suppose -3*u**3/2 - 24*u**2 + 165*u/2 - 57 = 0. Calculate u.
-19, 1, 2
Factor 4*o**3/7 - 540*o**2/7 + 24300*o/7 - 364500/7.
4*(o - 45)**3/7
Factor -68*t**2/3 - 35896*t/3 + 1408.
-4*(t + 528)*(17*t - 2)/3
Factor 5*q**2 - 45.
5*(q - 3)*(q + 3)
Find k, given that 3*k**3/7 + 9*k**2/7 - 3*k/7 - 9/7 = 0.
-3, -1, 1
What is g in -5*g**5/2 - 27*g**4/2 + 115*g**3/2 + 75*g**2/2 - 55*g - 24 = 0?
-8, -1, -2/5, 1, 3
Find k such that -2*k**3/7 - 1394*k**2/7 = 0.
-697, 0
Find r such that -3*r**4 + 8*r**3 + 5*r**2 - 6*r = 0.
-1, 0, 2/3, 3
Suppose -4*h**4 - 152*h**3 + 4*h**2 + 152*h = 0. Calculate h.
-38, -1, 0, 1
Find h such that 5*h**5 + 100*h**4 + 110*h**3 - 3920*h**2 + 7085*h - 3380 = 0.
-13, 1, 4
Find u, given that -u**5/3 - 25*u**4/3 - 82*u**3/3 + 306*u**2 - 495*u + 225 = 0.
-15, 1, 3
Determine w, given that 9*w**3/7 + 78*w**2/7 + 135*w/7 - 54/7 = 0.
-6, -3, 1/3
Factor -12*f**3 + 188*f**2 + 1648*f + 528.
-4*(f - 22)*(f + 6)*(3*f + 1)
Factor -j**4/6 + j**3 - 5*j**2/6 - 4*j + 6.
-(j - 3)**2*(j - 2)*(j + 2)/6
Determine j, given that -5*j**4/2 - 30*j**3 - 135*j**2/2 = 0.
-9, -3, 0
Find x, given that 2*x**3/9 + 716*x**2 + 576738*x = 0.
-1611, 0
Find t such that 2*t**2 + 430*t - 432 = 0.
-216, 1
Factor -2*v**2 - 188*v - 4418.
-2*(v + 47)**2
Solve -6*g**3 - 15*g**2/4 + 9*g/4 = 0.
-1, 0, 3/8
Factor 2*h**5/15 - 2*h**4/5 + 8*h**2/15.
2*h**2*(h - 2)**2*(h + 1)/15
Suppose -8*x**4/5 + 38*x**3/5 + 2*x**2 = 0. What is x?
-1/4, 0, 5
Factor t**4 - 151*t**3/5 + 62*t**2 - 56*t/5.
t*(t - 28)*(t - 2)*(5*t - 1)/5
Factor 4*i**5/3 - 300*i**4 + 17320*i**3 - 150520*i**2/3 + 49580*i - 16428.
4*(i - 111)**2*(i - 1)**3/3
What is s in -3*s**2/5 + 4422*s/5 - 1629507/5 = 0?
737
Solve 2*v**3 + 122*v**2 - 672*v - 792 = 0 for v.
-66, -1, 6
Solve -3*u**4/2 + 33*u**3/8 