4*q**3/3 + 4*q/3 + 2/3.
-2*(q - 1)*(q + 1)**3/3
Let 3*p**4/2 + 27*p**3/2 + 45*p**2/2 + 21*p/2 = 0. Calculate p.
-7, -1, 0
Determine a so that 3*a**5 + 60*a**4 + 162*a**3 + 156*a**2 + 51*a = 0.
-17, -1, 0
Determine w so that 15*w**4 + 80*w**3 + 115*w**2 + 30*w = 0.
-3, -2, -1/3, 0
What is c in c**2/3 - 5954*c/3 + 8862529/3 = 0?
2977
Solve -5*g**5 + 1400*g**4 + 2820*g**3 + 10*g**2 - 2815*g - 1410 = 0 for g.
-1, 1, 282
Let -2*q**5/3 - 2444*q**4/3 - 332112*q**3 - 135832180*q**2/3 - 134838286*q/3 = 0. Calculate q.
-407, -1, 0
Factor -5*n**5 - 40*n**4 - 80*n**3.
-5*n**3*(n + 4)**2
Solve 5*f**3 - 100*f**2 + 115*f + 2380 = 0.
-4, 7, 17
Solve -4*z**3 - 36*z**2 + 84*z - 44 = 0 for z.
-11, 1
Determine k so that -2*k**2/21 + 622*k/7 + 1868/21 = 0.
-1, 934
Factor -h**3 + 89*h**2/4 - 221*h/2 + 105/4.
-(h - 15)*(h - 7)*(4*h - 1)/4
Let -5*c**2/4 + 30*c + 65 = 0. Calculate c.
-2, 26
Suppose -4*r**5 - 24*r**4 + 108*r**3 - 16*r**2 - 144*r = 0. What is r?
-9, -1, 0, 2
Find t, given that 2*t**2/9 - 50*t/9 + 44/3 = 0.
3, 22
Find x, given that 2*x**5 - 10*x**4 + 10*x**3 + 10*x**2 - 12*x = 0.
-1, 0, 1, 2, 3
Suppose 3*z**2/4 - 117*z/2 + 2211/4 = 0. Calculate z.
11, 67
Solve -50562*v**4 - 99852*v**3 + 154222*v**2 - 3832*v + 24 = 0 for v.
-3, 2/159, 1
Solve 4*q**3 + 86*q**2 + 122*q + 40 = 0 for q.
-20, -1, -1/2
Let r**4/3 - 11*r**3/3 - 52*r**2 - 460*r/3 - 400/3 = 0. Calculate r.
-5, -2, 20
Solve -5*g**2 - 230*g - 225 = 0 for g.
-45, -1
Suppose 2*w**5 + 5*w**4 - 5*w**2 - 2*w = 0. What is w?
-2, -1, -1/2, 0, 1
Factor 6*z**3/5 - 14*z**2/5 + 2*z - 2/5.
2*(z - 1)**2*(3*z - 1)/5
Suppose 3*w**5/7 + 6*w**4 - 276*w**3/7 + 186*w**2/7 + 39*w - 228/7 = 0. What is w?
-19, -1, 1, 4
Let 9*o**4/4 + 1965*o**3/4 - 5283*o**2/4 + 4635*o/4 - 663/2 = 0. Calculate o.
-221, 2/3, 1
Let -r**4/5 + 7*r**3/5 - 11*r**2/5 + r = 0. What is r?
0, 1, 5
Solve -16*f**5 + 36*f**4 + 8*f**3 - 36*f**2 + 8*f = 0 for f.
-1, 0, 1/4, 1, 2
Solve 4*t**4/5 - 32*t**3/5 + 36*t**2/5 + 72*t/5 = 0.
-1, 0, 3, 6
Factor w**2 - 10*w + 16.
(w - 8)*(w - 2)
Find r such that 28*r**3 + 19664*r**2 + 3455244*r + 985608 = 0.
-351, -2/7
Let -7*p**4 + 31*p**3/2 + 521*p**2/2 + 493*p + 120 = 0. What is p?
-3, -5/2, -2/7, 8
Solve 2*x**2 - 212*x - 654 = 0 for x.
-3, 109
Factor -5*g**2 - 280*g + 285.
-5*(g - 1)*(g + 57)
Factor j**3/2 + 219*j**2 + 31974*j + 1556068.
(j + 146)**3/2
Factor g**4/2 - g**2/2.
g**2*(g - 1)*(g + 1)/2
Factor -2*m**3/17 - 56*m**2/17 - 200*m/17 - 192/17.
-2*(m + 2)**2*(m + 24)/17
Factor 4*x**3/9 - 38*x**2/9 + 44*x/9 + 32/9.
2*(x - 8)*(x - 2)*(2*x + 1)/9
Let 2*w**2 + 106*w = 0. What is w?
-53, 0
Factor -4*w**2 - 140*w + 296.
-4*(w - 2)*(w + 37)
Factor -2*f**3/15 + 244*f**2/5 - 29768*f/5 + 3631696/15.
-2*(f - 122)**3/15
Let 121*s**5/3 - 1276*s**4 - 13867*s**3/3 - 13130*s**2/3 - 1164*s - 280/3 = 0. Calculate s.
-2, -1, -2/11, 35
Factor -z**2/6 + z - 5/6.
-(z - 5)*(z - 1)/6
Suppose -4*h**3/7 - 32*h**2 - 28*h + 1320/7 = 0. What is h?
-55, -3, 2
Determine d so that 4*d**2/3 - 104*d/3 - 420 = 0.
-9, 35
Factor k**3 - 20*k**2 + 117*k - 162.
(k - 9)**2*(k - 2)
Factor d**4 - 69*d**3 + 67*d**2 + 69*d - 68.
(d - 68)*(d - 1)**2*(d + 1)
Suppose -g**2/2 + 13*g/6 - 7/3 = 0. Calculate g.
2, 7/3
Let 3*p**5 - 57*p**4 + 414*p**3 - 1428*p**2 + 2328*p - 1440 = 0. What is p?
2, 4, 5, 6
Suppose 3*b**4 + 34*b**3 - 2875*b**2 - 962*b = 0. Calculate b.
-37, -1/3, 0, 26
Factor 3*i**2/5 - 207*i/5.
3*i*(i - 69)/5
Find x such that 5*x**4 + 590*x**3 + 17405*x**2 = 0.
-59, 0
Factor -u**3 + 28*u**2 + 29*u.
-u*(u - 29)*(u + 1)
Suppose 7*m**2 + 422*m + 120 = 0. What is m?
-60, -2/7
Solve 5*k**4/3 + 207*k**3 + 124*k**2/3 = 0.
-124, -1/5, 0
Find b such that -b**5 - b**4 + 21*b**3 + b**2 - 20*b = 0.
-5, -1, 0, 1, 4
Solve 4*a**3 + 28*a**2 + 48*a = 0.
-4, -3, 0
Factor -i**5/6 + 50*i**4 - 4896*i**3 + 145656*i**2 + 1061208*i.
-i*(i - 102)**3*(i + 6)/6
Suppose 4*i**5/5 + 16*i**4/5 - 16*i**3/5 - 88*i**2/5 + 12*i/5 + 72/5 = 0. Calculate i.
-3, -1, 1, 2
Factor -2*m**5/5 + 44*m**4/5 - 156*m**3/5 + 224*m**2/5 - 146*m/5 + 36/5.
-2*(m - 18)*(m - 1)**4/5
Suppose 12*i**5 + 3376*i**4 - 22848*i**3 + 55104*i**2 - 55232*i + 18432 = 0. What is i?
-288, 2/3, 2
Determine m, given that -4*m**3 - 10408*m**2 - 20804*m - 10400 = 0.
-2600, -1
Find p, given that 6*p**3 + 302*p**2 + 1644*p - 1232 = 0.
-44, -7, 2/3
Find b such that -2*b**3/9 - 46*b**2/9 - 40*b/9 + 88/9 = 0.
-22, -2, 1
Factor -5*k**2 - 28000*k - 39200000.
-5*(k + 2800)**2
Factor 5*m**2/2 + 255*m/2.
5*m*(m + 51)/2
Determine x, given that 2*x**2/11 + 34*x/11 - 120/11 = 0.
-20, 3
Determine p so that 21*p**5 + 153*p**4 + 315*p**3 + 15*p**2 - 396*p - 108 = 0.
-3, -2, -2/7, 1
Factor -x**3/2 + x**2.
-x**2*(x - 2)/2
Factor 4*p**2/7 - 228*p/7 + 848/7.
4*(p - 53)*(p - 4)/7
Find b such that b**2/3 + 215*b/3 - 72 = 0.
-216, 1
Factor -5*d**2 + 1500*d - 112500.
-5*(d - 150)**2
Determine p so that 2*p**2/17 - 2320*p/17 + 672800/17 = 0.
580
Let -5*i**4 - 20*i**3 + 30*i**2 + 180*i + 135 = 0. Calculate i.
-3, -1, 3
Determine b, given that 3*b**3/5 - 21*b**2/5 + 21*b/5 + 9 = 0.
-1, 3, 5
Factor 5*k**3/4 - 175*k**2/2 + 5365*k/4 + 6845.
5*(k - 37)**2*(k + 4)/4
Factor -3*b**3 + 36*b**2 + 39*b.
-3*b*(b - 13)*(b + 1)
Find u such that 3*u**2 - 1026*u + 87723 = 0.
171
Factor -2*q**2 - 2500*q.
-2*q*(q + 1250)
Factor -2*l**2/3 + 8*l/3 + 8.
-2*(l - 6)*(l + 2)/3
Solve 12*j**2 + 248*j - 84 = 0 for j.
-21, 1/3
Find d, given that 3*d**2 - 2181*d/2 + 1089/2 = 0.
1/2, 363
Let 14*q**3 - 246*q**2 - 374*q - 114 = 0. Calculate q.
-1, -3/7, 19
Factor t**2 - 14*t + 24.
(t - 12)*(t - 2)
Find g such that -3*g**4 - 63*g**3 + 228*g**2 + 288*g = 0.
-24, -1, 0, 4
Factor -2*j**5/11 - 16*j**4 - 516*j**3/11 - 512*j**2/11 - 170*j/11.
-2*j*(j + 1)**3*(j + 85)/11
Factor 2*w**3/9 + 44*w**2/9 + 242*w/9.
2*w*(w + 11)**2/9
Factor 10*r**4 - 76*r**3 + 98*r**2 - 8*r - 24.
2*(r - 6)*(r - 1)**2*(5*r + 2)
Factor -2*x**3/5 + 84*x**2/5.
-2*x**2*(x - 42)/5
Determine g, given that -4*g**2/7 - 500*g/7 = 0.
-125, 0
Factor 245*s**4 - 595*s**3 + 90*s**2 + 220*s + 40.
5*(s - 2)*(s - 1)*(7*s + 2)**2
Determine p, given that -p**4/6 + 1835*p**3/6 + 3673*p**2/6 + 1837*p/6 = 0.
-1, 0, 1837
Factor -4*b**4 - 312*b**3 - 1204*b**2 - 1488*b - 592.
-4*(b + 1)**2*(b + 2)*(b + 74)
Determine b, given that 2*b**5/15 + 2432*b**4/15 - 2434*b**3/15 = 0.
-1217, 0, 1
Solve h**3 - 641*h**2 + 640*h = 0 for h.
0, 1, 640
Factor -c**2/3 + 773*c/3 + 258.
-(c - 774)*(c + 1)/3
Determine s, given that -s**2 + 2*s - 1 = 0.
1
Suppose h**5/2 + 61*h**4/2 + 959*h**3/2 + 839*h**2/2 - 480*h - 450 = 0. What is h?
-30, -1, 1
Factor -5*l**4 + 70*l**3 - 240*l**2 + 90*l + 405.
-5*(l - 9)*(l - 3)**2*(l + 1)
Factor l**5/2 + l**4 - 4*l**3 - 8*l**2 + 8*l + 16.
(l - 2)**2*(l + 2)**3/2
Let 8*d**4 - 158*d**3 + 256*d**2 - 70*d - 36 = 0. Calculate d.
-1/4, 1, 18
Factor -28*z**3 + 16*z**2 + 112*z - 64.
-4*(z - 2)*(z + 2)*(7*z - 4)
Factor -16*n**4 + 36*n**3 - 24*n**2 + 4*n.
-4*n*(n - 1)**2*(4*n - 1)
Suppose 1058*j**4/9 + 59156*j**3/9 + 274774*j**2/3 - 72016*j/9 + 1568/9 = 0. What is j?
-28, 1/23
Factor -3*a**3/2 - 9*a**2/2.
-3*a**2*(a + 3)/2
Factor 3*v**3 - 69*v**2 - 147*v - 75.
3*(v - 25)*(v + 1)**2
Factor 48*m**3/11 + 654*m**2/11 - 252*m/11.
6*m*(m + 14)*(8*m - 3)/11
Factor -856690758722*s**4/9 - 8471602064*s**3/9 - 10471696*s**2/3 - 51776*s/9 - 32/9.
-2*(809*s + 2)**4/9
Factor -4*g**2 - 60*g + 64.
-4*(g - 1)*(g + 16)
Find k, given that 30*k**5 - 26*k**4/3 - 574*k**3/3 + 326*k**2 - 580*k/3 + 112/3 = 0.
-28/9, 2/5, 1
Determine b, given that -5*b**5 + 15*b**4 - 10*b**3 = 0.
0, 1, 2
Factor 3*i**3/5 - 54*i**2/5 - 189*i/5.
3*i*(i - 21)*(i + 3)/5
Find v, given that 3*v**4 + 10*v**3 + 12*v**2 + 6*v + 1 = 0.
-1, -1/3
What is t in 3*t**3/7 + 27*t**2 + 567*t + 3969 = 0?
-21
Suppose -2*d**4/7 + 12*d**3/7 - 18*d**2/7 + 8*d/7 = 0. Calculate d.
0, 1, 4
Suppose -5*a**4 + 195*a**3 - 2805*a**2 + 17545*a - 39930 = 0. What is a?
6, 11
Solve -n**2/4 + 21*n/2 - 185/4 = 0 for n.
5, 37
Determine s so that 39*s**2 + 36*s - 3 = 0.
-1, 1/13
Factor 4*h**4 - 72*h**3 - 1296*h**2 - 4320*h.
4*h*(h - 30)*(h + 6)**2
Find l such that 9*l**5 - 57*l**4 + 136*l**3 - 152*l**2 + 80*l - 16 = 0.
2/3, 1, 2
Determine b so that -8*b**5 + 12*b**4 + 64*b**3 - 132*b**2 + 16*b + 48 = 0.
-3, -1/2, 1, 2
Factor 3*x**3/7 + 6*x**2/7 - 33*x/7 - 36/7.
3*(x - 3)*(x + 1)*(x + 4)/7
Factor z**