2.
-(h - 134)**2*(h + 3)**2/2
Solve -5*l**4 + 20*l**3 - 20*l**2 = 0 for l.
0, 2
Determine l so that -22*l**4 + 172*l**3 - 232*l**2 - 48*l = 0.
-2/11, 0, 2, 6
Factor g**2/5 - 138*g/5 + 4761/5.
(g - 69)**2/5
Factor 2*v**3/7 - 180*v**2/7 - 368*v/7.
2*v*(v - 92)*(v + 2)/7
Let -4*m**5 + 56*m**4 - 144*m**3 + 136*m**2 - 44*m = 0. Calculate m.
0, 1, 11
Find v, given that 5*v**2 - 130*v + 240 = 0.
2, 24
Determine b so that 3*b**5/4 - b**4 - 21*b**3/2 + b**2 + 39*b/4 = 0.
-3, -1, 0, 1, 13/3
Let -3*a**5 - 72*a**4 + 165*a**3 + 222*a**2 - 324*a - 312 = 0. Calculate a.
-26, -1, 2
Solve 4*b**4 - 52*b**3 + 140*b**2 + 196*b = 0 for b.
-1, 0, 7
Factor -28*i**3/3 + 25*i**2 + 12*i - 9.
-(i - 3)*(4*i + 3)*(7*i - 3)/3
Determine x, given that 28*x**5 + 260*x**4 + 408*x**3 - 2144*x**2 - 6016*x - 1536 = 0.
-4, -2/7, 3
Determine j, given that -j**2/3 + 823*j/3 + 824/3 = 0.
-1, 824
Factor -196*a**3/9 - 2576*a**2/9 - 8464*a/9.
-4*a*(7*a + 46)**2/9
Factor -2*u**3/9 - 10*u**2/9 - 4*u/3.
-2*u*(u + 2)*(u + 3)/9
Suppose 2*p**2/7 - 3408*p/7 - 3410/7 = 0. Calculate p.
-1, 1705
Determine n so that 2*n**3/11 + 30*n**2/11 - 450*n/11 - 6750/11 = 0.
-15, 15
Factor 4*b**3 - 104*b**2 - 620*b.
4*b*(b - 31)*(b + 5)
Suppose -4*k**2 - 2504*k - 4992 = 0. What is k?
-624, -2
Factor 5*j**4 - 375*j**3 - 1960*j**2 - 3180*j - 1600.
5*(j - 80)*(j + 1)*(j + 2)**2
Suppose 3*c**4 - 12*c**3 - 66*c**2 + 12*c + 63 = 0. What is c?
-3, -1, 1, 7
Solve 2*h**2/11 - 218*h/11 + 428/11 = 0.
2, 107
Find y, given that -5*y**4 - 12*y**3 + y**2 + 12*y + 4 = 0.
-2, -1, -2/5, 1
Suppose -b**2/3 - 8*b/3 - 16/3 = 0. Calculate b.
-4
Determine k, given that -k**2/4 + 61*k/2 - 3721/4 = 0.
61
Factor k**4 + 5*k**3 + 7*k**2 + 3*k.
k*(k + 1)**2*(k + 3)
Factor 2*r**5 - 4*r**4 - 36*r**3 - 64*r**2 - 46*r - 12.
2*(r - 6)*(r + 1)**4
Factor -4*l**4 + 252*l**3 - 3832*l**2 - 4608*l + 8192.
-4*(l - 32)**2*(l - 1)*(l + 2)
Find u such that -2*u**4/7 - 18912*u**3/7 - 59610624*u**2/7 - 62630895616*u/7 = 0.
-3152, 0
Determine a, given that 4*a**2 - 424*a - 428 = 0.
-1, 107
Factor 3*j**4 - 12*j**3 + 15*j**2 - 6*j.
3*j*(j - 2)*(j - 1)**2
Solve 14*y**4/11 - 52*y**3/11 + 26*y**2/11 + 12*y/11 = 0.
-2/7, 0, 1, 3
What is w in -4*w**2 + 38000*w - 90250000 = 0?
4750
Suppose -y**5/4 + 3*y**4/4 - y**3/4 - 3*y**2/4 + y/2 = 0. Calculate y.
-1, 0, 1, 2
Find w, given that -2*w**5 + 16*w**4 + 18*w**3 = 0.
-1, 0, 9
Solve 8*c**5 + 52*c**4 + 120*c**3 + 128*c**2 + 64*c + 12 = 0 for c.
-3, -1, -1/2
Factor j**2 + 18*j - 115.
(j - 5)*(j + 23)
Determine t, given that -t**4/8 + 59*t**3/8 - 137*t**2/4 + 27*t = 0.
0, 1, 4, 54
Determine l so that -l**2/5 + 8*l - 35 = 0.
5, 35
Factor -w**5/7 - 4*w**4/7 + 78*w**3/7 - 200*w**2/7 + 187*w/7 - 60/7.
-(w - 5)*(w - 1)**3*(w + 12)/7
Factor 10*w**3 - 606*w**2 - 864*w - 248.
2*(w - 62)*(w + 1)*(5*w + 2)
Factor x**5/2 + 3*x**4/2 - 37*x**3/2 + 33*x**2/2 + 36*x.
x*(x - 3)**2*(x + 1)*(x + 8)/2
Factor p**4 - 56*p**3 + 1078*p**2 - 8232*p + 21609.
(p - 21)**2*(p - 7)**2
Factor c**4/5 + 28*c**3/5 + 186*c**2/5 + 292*c/5 + 133/5.
(c + 1)**2*(c + 7)*(c + 19)/5
Suppose -4*m**4 - 40*m**3 + 44*m**2 = 0. What is m?
-11, 0, 1
Suppose w**3/5 - 2*w**2 - 7*w/5 + 196/5 = 0. Calculate w.
-4, 7
What is j in -5*j**3 + 325*j**2 + 2470*j + 3600 = 0?
-5, -2, 72
Factor k**3/3 - k**2/3 - k/3 + 1/3.
(k - 1)**2*(k + 1)/3
Determine g, given that -g**5/6 - 25*g**4/6 - 41*g**3/2 - 175*g**2/6 - 38*g/3 = 0.
-19, -4, -1, 0
What is g in -2*g**4/9 - 4*g**3/9 + 14*g**2/9 + 16*g/9 - 8/3 = 0?
-3, -2, 1, 2
Find f, given that f**2/5 + 26*f/5 + 48/5 = 0.
-24, -2
Determine g so that g**5 - 38*g**4 + 387*g**3 - 306*g**2 - 3564*g + 5832 = 0.
-3, 2, 3, 18
Let 4*j**2 + 240*j - 1300 = 0. What is j?
-65, 5
Solve 2*h**3 - 396*h**2 - 398*h = 0.
-1, 0, 199
Factor -2*q**3 - 98*q**2 - 1248*q - 1152.
-2*(q + 1)*(q + 24)**2
Factor -9*v**2/4 - 39*v/4 + 66.
-3*(v + 8)*(3*v - 11)/4
Factor -2*w**4 + 250*w**3 - 7936*w**2 + 7688*w.
-2*w*(w - 62)**2*(w - 1)
Solve -484*k**5/5 + 26312*k**4/5 - 35172*k**3/5 + 10192*k**2/5 - 848*k/5 = 0 for k.
0, 2/11, 1, 53
Solve -f**4 - 6*f**3 + 15*f**2 + 44*f - 84 = 0.
-7, -3, 2
Solve -2*z**3/3 + 56*z**2 - 110*z + 164/3 = 0 for z.
1, 82
Factor 2*i**3/17 + 16*i**2/17 + 22*i/17 - 40/17.
2*(i - 1)*(i + 4)*(i + 5)/17
Determine h, given that -h**4/3 + 29*h**3/3 - 197*h**2/3 - 29*h/3 + 66 = 0.
-1, 1, 11, 18
Determine z so that -z**4/5 - 58*z**3/5 - 228*z**2 - 7942*z/5 - 6859/5 = 0.
-19, -1
Factor -2*g**2/7 + 166*g + 2332/7.
-2*(g - 583)*(g + 2)/7
Determine v so that -3*v**4/2 - 6*v**3 - 15*v**2/2 - 3*v = 0.
-2, -1, 0
Factor -4*x**2/9 - 24*x - 416/9.
-4*(x + 2)*(x + 52)/9
What is s in 15*s**4 - 81*s**3 - 54*s**2 + 708*s - 792 = 0?
-3, 2, 22/5
Factor -a**5 + 26*a**4 - 45*a**3 - 72*a**2.
-a**2*(a - 24)*(a - 3)*(a + 1)
Factor 2*a**3/11 - 20*a**2/11 - 150*a/11.
2*a*(a - 15)*(a + 5)/11
Solve -11907*k**3 + 3024*k**2 + 900*k + 48 = 0 for k.
-2/21, 4/9
Suppose q**4 - 42*q**3 + 481*q**2 - 840*q + 400 = 0. Calculate q.
1, 20
Factor -z**3/4 - 138*z**2 - 25392*z - 1557376.
-(z + 184)**3/4
Determine r so that 4*r**2 - 64*r - 320 = 0.
-4, 20
Determine d so that 2*d**5 + 46*d**4 + 324*d**3 + 896*d**2 + 832*d = 0.
-13, -4, -2, 0
Determine p, given that 3*p**2/2 - 27*p + 108 = 0.
6, 12
Find k such that -2*k**4 + 84*k**3 - 520*k**2 + 1068*k - 630 = 0.
1, 3, 35
Factor 39*f**2 + 456*f - 144.
3*(f + 12)*(13*f - 4)
Factor o**2/5 + o.
o*(o + 5)/5
Factor 5*n**2/3 + 50*n/3 + 125/3.
5*(n + 5)**2/3
Factor -o**2/6 + 62*o/3 - 122/3.
-(o - 122)*(o - 2)/6
What is j in 4*j**3 + 72*j**2 + 240*j + 224 = 0?
-14, -2
What is n in -4*n**5 - 4*n**4 + 32*n**3 + 32*n**2 - 64*n - 64 = 0?
-2, -1, 2
Factor -3*j**2 + 6624*j.
-3*j*(j - 2208)
Factor -4*l**4 + 104*l**3 + 340*l**2 + 232*l.
-4*l*(l - 29)*(l + 1)*(l + 2)
Let 4*j**2 - 14744*j + 13586596 = 0. Calculate j.
1843
Solve -6*r**5/5 - 6*r**4 - 54*r**3/5 - 42*r**2/5 - 12*r/5 = 0.
-2, -1, 0
Suppose -d**2/2 - 167*d - 27889/2 = 0. What is d?
-167
Let -8*t**5 + 4*t**4 + 24*t**3 - 16*t**2 - 16*t + 12 = 0. What is t?
-3/2, -1, 1
Factor 2*r**3/5 - 20*r**2 - 2*r/5 + 20.
2*(r - 50)*(r - 1)*(r + 1)/5
Find u such that 5*u**3 - 5*u**2 - 40*u + 60 = 0.
-3, 2
Let 2*j**3 + 28*j**2 + 2*j - 312 = 0. What is j?
-13, -4, 3
Factor -2*p**3/9 + 26*p**2/9 - 70*p/9 - 98/9.
-2*(p - 7)**2*(p + 1)/9
Factor 2*z**3/17 + 586*z**2/17 + 1166*z/17 + 582/17.
2*(z + 1)**2*(z + 291)/17
What is t in -t**4/2 + 2*t**3 + t**2 - 6*t - 9/2 = 0?
-1, 3
Suppose 2*v**5 - 76*v**4/9 - 92*v**3/9 + 32*v**2/3 + 74*v/9 - 20/9 = 0. Calculate v.
-1, 2/9, 1, 5
Let -2*f**5 - 7*f**4/2 + 6*f**3 + 29*f**2/2 + 7*f = 0. What is f?
-7/4, -1, 0, 2
Let -4*i**2 + 252*i - 944 = 0. What is i?
4, 59
Factor 4*s**2 - 120*s + 116.
4*(s - 29)*(s - 1)
Factor 2*t**3/3 - 6*t**2 + 10*t - 14/3.
2*(t - 7)*(t - 1)**2/3
Factor 2*c**3 - 2*c**2 - 66*c - 126.
2*(c - 7)*(c + 3)**2
Factor -2*p**2/13 + 10*p/13 + 28/13.
-2*(p - 7)*(p + 2)/13
Find o, given that 10*o**5 - 6*o**4 - 654*o**3 - 890*o**2 - 252*o = 0.
-7, -1, -2/5, 0, 9
What is y in -5*y**5 + 1045*y**4 - 1035*y**3 - 1045*y**2 + 1040*y = 0?
-1, 0, 1, 208
Suppose -6*l**2 - 200*l - 66 = 0. Calculate l.
-33, -1/3
Factor -35*y**3 + 75*y**2 + 30*y - 80.
-5*(y - 2)*(y + 1)*(7*y - 8)
Suppose 5*b**4 + 20*b**3 - 5*b**2 - 20*b = 0. What is b?
-4, -1, 0, 1
Let 2*l**4 - 41*l**3 - 592*l**2 - 549*l = 0. What is l?
-9, -1, 0, 61/2
Factor 4*c**2 + 1088*c + 73984.
4*(c + 136)**2
Solve -t**4/4 - 7*t**3/2 - 33*t**2/4 + 28*t - 16 = 0.
-8, 1
Factor 2*t**4/11 - 30*t**3/11 + 78*t**2/11 - 74*t/11 + 24/11.
2*(t - 12)*(t - 1)**3/11
Factor 72*h**3 + 75*h**2 - 6*h - 9.
3*(h + 1)*(3*h - 1)*(8*h + 3)
Factor n**4/2 - n**3/2 - 3*n**2/2 + 5*n/2 - 1.
(n - 1)**3*(n + 2)/2
Suppose 2*u**3/13 - 32*u**2/13 = 0. Calculate u.
0, 16
Find c such that 2*c**2/5 + 18*c/5 - 104/5 = 0.
-13, 4
Let -14*y**4/5 + 52*y**3/5 - 26*y**2/5 - 12*y/5 = 0. What is y?
-2/7, 0, 1, 3
Factor -18*k**4 + 212*k**3/3 - 200*k**2/3 - 16*k/3.
-2*k*(k - 2)**2*(27*k + 2)/3
Determine m, given that m**2/7 + 40*m/7 + 39/7 = 0.
-39, -1
What is p in -5*p**5 - 45*p**4 + 5*p**3 + 1045*p**2 + 3000*p + 2000 = 0?
-5, -4, -1, 5
Factor 4*a**5 - 8*a**4 - 12*a**3.
4*a**3*(a - 3)*(a + 1)
Suppose s**3/10 - 71*s**2/10 + 195*s/2 + 10647/10 = 0. What is s?
-7, 39
Let -2*j**2 + 616*j + 618 = 0. Calculate j.
-1, 309
Factor -x**4 - 3*x**3 + 7*x**2 + 15*x - 18.
-(x - 2)*(x 