at 3*d**3/2 - 3*d**2 - 54*d + 108 = 0.
-6, 2, 6
Factor -15*x**3/7 - 9*x**2/7 + 6*x/7.
-3*x*(x + 1)*(5*x - 2)/7
Factor -3*o**3/5 + 3*o**2 + 24*o/5 - 144/5.
-3*(o - 4)**2*(o + 3)/5
Factor -k**2/3 + 11*k/3 - 6.
-(k - 9)*(k - 2)/3
Factor 5*w**2/4 - 1035*w/4 - 260.
5*(w - 208)*(w + 1)/4
Suppose 2*l**5/7 - 20*l**4 + 3650*l**3/7 - 43000*l**2/7 + 220000*l/7 - 400000/7 = 0. What is l?
5, 20
Suppose 6*j**5/11 - 30*j**3/11 + 24*j/11 = 0. What is j?
-2, -1, 0, 1, 2
Factor -y**4/4 + y**3/2 + 11*y**2/4 - 3*y - 9.
-(y - 3)**2*(y + 2)**2/4
Find h such that h**2/5 - 498*h/5 + 1976/5 = 0.
4, 494
Factor 2*v**4/3 - 5*v**3 + 25*v**2/3.
v**2*(v - 5)*(2*v - 5)/3
Let 10*t**5/7 + 44*t**4/7 + 66*t**3/7 + 40*t**2/7 + 8*t/7 = 0. What is t?
-2, -1, -2/5, 0
Determine d, given that -3*d**5 - 141*d**4 - 396*d**3 + 12*d**2 + 528*d = 0.
-44, -2, 0, 1
Factor y**4/3 + 2*y**3 - 21*y**2 + 104*y/3 - 16.
(y - 4)*(y - 1)**2*(y + 12)/3
What is j in -8*j**5/5 + 94*j**4/5 - 208*j**3/5 + 86*j**2/5 + 36*j/5 = 0?
-1/4, 0, 1, 2, 9
Factor -2*p**4 - 292*p**3 - 14112*p**2 - 220892*p + 235298.
-2*(p - 1)*(p + 49)**3
Factor 686*g**3 + 201978*g**2 + 19822698*g + 648485406.
2*(7*g + 687)**3
Determine z so that -2*z**4/15 - 16*z**3/15 - 6*z**2/5 + 12*z/5 = 0.
-6, -3, 0, 1
Solve -4*z**2/9 + 12*z + 952/9 = 0.
-7, 34
Factor -a**3/2 - 563*a**2/8 - 5005*a/2 - 3675/2.
-(a + 70)**2*(4*a + 3)/8
Factor t**4/2 - 7094*t**3 + 37743627*t**2 - 89251096646*t + 158286819901681/2.
(t - 3547)**4/2
Factor -2*s**3/3 + 2*s**2/3 + 4*s/3.
-2*s*(s - 2)*(s + 1)/3
Let -s**3/6 + 4*s**2 - 63*s/2 + 81 = 0. What is s?
6, 9
Solve -4*x**4 - 16*x**3 + 44*x**2 + 120*x = 0.
-5, -2, 0, 3
Solve -2*x**5/9 - 4*x**4/9 + 50*x**3/9 + 4*x**2/9 - 16*x/3 = 0 for x.
-6, -1, 0, 1, 4
Factor -d**4/2 - 7*d**3 - 73*d**2/2 - 84*d - 72.
-(d + 3)**2*(d + 4)**2/2
Suppose 3*q**2/8 - 21*q/4 + 18 = 0. Calculate q.
6, 8
Suppose 6*c**3 - 40*c**2 - 258*c - 308 = 0. What is c?
-7/3, -2, 11
What is w in w**3/5 - 8*w**2/5 + w + 10 = 0?
-2, 5
Factor -2*d**2/3 - 172*d/3 - 170/3.
-2*(d + 1)*(d + 85)/3
Suppose -o**2/6 + 9*o/2 = 0. Calculate o.
0, 27
Determine a, given that -a**3 - 43*a**2 + 44*a = 0.
-44, 0, 1
Factor 5*m**2 - 206*m + 240.
(m - 40)*(5*m - 6)
Factor -5*y**2 + 105*y.
-5*y*(y - 21)
What is a in -4*a**4/5 - 198*a**3/5 - 96*a**2/5 + 98*a/5 = 0?
-49, -1, 0, 1/2
Determine j so that 2*j**4 - 10*j**3 + 16*j**2 - 8*j = 0.
0, 1, 2
Let p**2/4 - 219*p - 877/4 = 0. What is p?
-1, 877
Factor 3*h**3 - 39*h**2 - 231*h + 3267.
3*(h - 11)**2*(h + 9)
Factor o**2/4 - 11*o/2.
o*(o - 22)/4
Factor z**3/3 - 4*z**2 + 23*z/3 + 12.
(z - 9)*(z - 4)*(z + 1)/3
Factor 4*f**4/7 + 72*f**3/7 + 324*f**2/7.
4*f**2*(f + 9)**2/7
Factor -4*w**3/3 - 32*w**2 - 92*w/3.
-4*w*(w + 1)*(w + 23)/3
Let 3*o**4/2 + 189*o**3/2 + 369*o**2/2 + 183*o/2 = 0. Calculate o.
-61, -1, 0
Suppose -g**5 - 15*g**4 - 47*g**3 - 29*g**2 + 48*g + 44 = 0. Calculate g.
-11, -2, -1, 1
Factor -c**2 + 226*c - 12769.
-(c - 113)**2
Suppose j**2/2 - 276*j + 38088 = 0. Calculate j.
276
Determine i so that 2*i**5/3 - 40*i**4/9 - 62*i**3/9 - 16*i**2/9 = 0.
-1, -1/3, 0, 8
Solve 10*w**5 - 7*w**4 - 33*w**3 + 41*w**2 - 5*w - 6 = 0.
-2, -3/10, 1
Determine f so that 9*f**5 - 381*f**4 - 258*f**3 = 0.
-2/3, 0, 43
Let 3*r**3/2 + 579*r**2/8 - 294*r - 78 = 0. Calculate r.
-52, -1/4, 4
Factor -3*x**5/4 + 123*x**4/4 - 1425*x**3/4 + 3249*x**2/4.
-3*x**2*(x - 19)**2*(x - 3)/4
Factor -f**3/2 - 4*f**2 - 21*f/2 - 9.
-(f + 2)*(f + 3)**2/2
Solve -2*o**4/5 - 808*o**3/5 - 804*o**2/5 + 808*o/5 + 806/5 = 0.
-403, -1, 1
Let -4*r**4 - 48*r**3 - 184*r**2 - 240*r - 100 = 0. What is r?
-5, -1
Let o**4/5 - 14*o**3/5 = 0. What is o?
0, 14
Solve -2*o**2/21 - 24*o/7 + 74/21 = 0.
-37, 1
Suppose -x**3/2 + 21*x**2/2 - 99*x/2 + 135/2 = 0. What is x?
3, 15
Solve -c**2/6 - 9*c/2 + 80/3 = 0 for c.
-32, 5
Find w, given that 4*w**2 - 432*w + 11664 = 0.
54
Solve 5*f**2 - 765*f = 0.
0, 153
Find k such that -k**2/3 - k + 4/3 = 0.
-4, 1
Solve 2*a**2/15 - 34*a/15 - 656/5 = 0.
-24, 41
Factor -f**3/6 - 117*f**2/2 - 13689*f/2 - 533871/2.
-(f + 117)**3/6
Let 72*v**5/7 + 242*v**4/7 + 296*v**3/7 + 156*v**2/7 + 32*v/7 + 2/7 = 0. What is v?
-1, -1/4, -1/9
Determine q so that -9*q**5 - 147*q**4/4 + 141*q**3 + 588*q**2 + 48*q = 0.
-4, -1/12, 0, 4
Factor -2*w**4 - 4*w**3 + 4*w + 2.
-2*(w - 1)*(w + 1)**3
What is p in -4*p**4 + 96*p**3 - 352*p**2 - 2688*p - 3136 = 0?
-2, 14
Factor -x**3/5 - 3*x**2/5 - 2*x/5.
-x*(x + 1)*(x + 2)/5
Solve 2*p**4/3 - 1874*p**3/3 - 2506*p**2 - 9406*p/3 - 3764/3 = 0 for p.
-2, -1, 941
Factor 3*k**5 - 3441*k**4 + 1313310*k**3 - 165908706*k**2 - 335771121*k - 168545661.
3*(k - 383)**3*(k + 1)**2
Let 3*h**5 - 84*h**4 + 498*h**3 + 1260*h**2 + 675*h = 0. What is h?
-1, 0, 15
Factor 8*f**4/7 + 34*f**3/7 + 40*f**2/7 + 8*f/7.
2*f*(f + 2)**2*(4*f + 1)/7
Factor -2*c**3 - 2*c**2 + 2*c + 2.
-2*(c - 1)*(c + 1)**2
Factor u**3/6 - u**2 - 8*u/3.
u*(u - 8)*(u + 2)/6
Suppose -4*i**4 - 6*i**3 + 1980*i**2 + 3962*i + 1980 = 0. Calculate i.
-22, -1, 45/2
Factor -4*h**4 - 276*h**3 - 4896*h**2 - 4624*h.
-4*h*(h + 1)*(h + 34)**2
Find t, given that -2*t**4/7 + 16*t**3/7 + 20*t**2/7 - 16*t/7 - 18/7 = 0.
-1, 1, 9
Factor -5*c**4 + 5*c**3 + 30*c**2 - 20*c - 40.
-5*(c - 2)**2*(c + 1)*(c + 2)
Let 6*w**4 + 75*w**3 + 129*w**2 - 210*w = 0. Calculate w.
-10, -7/2, 0, 1
Let -p**2/4 + 1681*p/2 - 2825761/4 = 0. Calculate p.
1681
Determine z so that 1101708*z**2 - 1212*z + 1/3 = 0.
1/1818
What is z in z**3/2 + z**2 - 53*z/2 + 45 = 0?
-9, 2, 5
Let -r**4 - 16*r**3 + 416*r**2 + 3840*r - 57600 = 0. Calculate r.
-20, 12
Factor -2*s**3/11 + 30*s**2/11 - 64*s/11 - 96/11.
-2*(s - 12)*(s - 4)*(s + 1)/11
Factor -4*c**5 + 96*c**4 - 264*c**3 + 256*c**2 - 84*c.
-4*c*(c - 21)*(c - 1)**3
Factor t**2/2 + 39*t.
t*(t + 78)/2
Find j, given that -2*j**4/15 + 80*j**3/3 - 8976*j**2/5 + 209088*j/5 - 383328/5 = 0.
2, 66
Let -r**2 - 6*r + 7 = 0. Calculate r.
-7, 1
Factor 5*t**5/6 - 5*t**4/3.
5*t**4*(t - 2)/6
Solve -5*l**3 + 31875*l**2 - 67734375*l + 47978515625 = 0.
2125
Factor 2*g**4 - 394*g**3/3 - 536*g**2/3.
2*g**2*(g - 67)*(3*g + 4)/3
Find c such that 33*c**2/5 + 17*c + 10 = 0.
-5/3, -10/11
Factor 16*t**3 - 1788*t**2 + 1328*t + 444.
4*(t - 111)*(t - 1)*(4*t + 1)
Determine x, given that -x**2/2 - x/2 + 1 = 0.
-2, 1
Suppose -y**2/2 - 227*y - 452 = 0. What is y?
-452, -2
Factor -2*q**4/5 + 792*q**3/5 - 79196*q**2/5 + 156024*q/5 - 77618/5.
-2*(q - 197)**2*(q - 1)**2/5
Let 4*o**3 - 2568*o**2 = 0. Calculate o.
0, 642
Find f such that -15*f**4 - 123*f**3 - 264*f**2 - 48*f = 0.
-4, -1/5, 0
What is z in 3*z**3 + 210*z**2 - 6981*z + 48672 = 0?
-96, 13
Suppose 40*c**3 - 196*c**2 + 220*c + 24 = 0. Calculate c.
-1/10, 2, 3
Factor -j**4/2 + 13*j**3/2.
-j**3*(j - 13)/2
Factor v**2/6 + 21*v/2 - 65/3.
(v - 2)*(v + 65)/6
Factor n**5/3 + 10*n**4/3 - 4*n**3 - 266*n**2/3 - 245*n/3.
n*(n - 5)*(n + 1)*(n + 7)**2/3
Factor 2187*p**5/4 + 2916*p**4 + 11259*p**3/4 - 5601*p**2/2 + 693*p - 54.
3*(p + 3)**2*(9*p - 2)**3/4
Let d**3/5 + 37*d**2/5 + 391*d/5 + 867/5 = 0. What is d?
-17, -3
Suppose 2*a**4 + 45*a**3 - 384*a**2 - 203*a = 0. What is a?
-29, -1/2, 0, 7
Find y, given that y**3/9 + 113*y**2/9 + 436*y/9 = 0.
-109, -4, 0
Determine g, given that 3*g**4 - 339*g**3 - 2472*g**2 - 5724*g - 4320 = 0.
-3, -2, 120
Factor 4*w**3 - 24*w**2 - 144*w + 864.
4*(w - 6)**2*(w + 6)
Factor -z**3/3 - 412*z**2/3 - 137*z.
-z*(z + 1)*(z + 411)/3
Factor 3*o**2 + 359*o + 238.
(o + 119)*(3*o + 2)
Factor 6*j**2/7 + 20*j/7.
2*j*(3*j + 10)/7
Determine l so that -3*l**4 - 36*l**3 + 5238*l**2 + 32076*l - 2381643 = 0.
-33, 27
What is h in 2*h**5 - 30*h**4 + 78*h**3 - 74*h**2 + 24*h = 0?
0, 1, 12
Suppose 5*y**3 - 140*y**2 - 145*y = 0. What is y?
-1, 0, 29
Factor -q**4/3 + 200*q**3/3 - 10198*q**2/3 + 6600*q - 3267.
-(q - 99)**2*(q - 1)**2/3
Solve -3*d**5/2 + 3*d**4 + 21*d**3/2 - 30*d**2 + 18*d = 0 for d.
-3, 0, 1, 2
Factor -3*j**2 + 417*j.
-3*j*(j - 139)
Determine d, given that -2*d**5 - 8*d**4 - 2*d**3 + 20*d**2 + 8*d - 16 = 0.
-2, 1
Solve -4*d**5 + 1160*d**4 + 12*d**3 - 3472*d**2 - 2320*d = 0.
-1, 0, 2, 290
Let -5*g**2 - 36060*g = 0. What is g?
-7212, 0
Factor 1313*r**2/4 + r/2.
r*(1313*r + 2)/4
What is g in 6*g**5/13 + 50*g**4/13 + 54*g**3/13 - 18*g**2/13 - 28*g/13 = 0?
-7, -1, 0, 2/3
What is s in s**5/4 + 3*s**4/4 - 3*s**3/2 - 13*s**2/2 - 27*s/4 - 9/4 = 0?
-3, -1, 3
Fin