*g**3*(41*g + 6)
Let -2*x**2 + 602*x - 1196 = 0. Calculate x.
2, 299
Suppose -d**5/3 - 22*d**4/3 - 24*d**3 + 358*d**2/3 - 407*d/3 + 48 = 0. What is d?
-16, -9, 1
Let 4*x**3/7 + 8*x**2 + 100*x/7 + 48/7 = 0. What is x?
-12, -1
Solve -2*j**2 + 234*j - 1332 = 0.
6, 111
Determine j, given that j**3/3 - 13*j**2/6 - 4*j = 0.
-3/2, 0, 8
Let -p**3 + 201*p**2 - 9792*p - 31212 = 0. What is p?
-3, 102
Factor 4*f**3 - 1824*f**2 - 3660*f - 1832.
4*(f - 458)*(f + 1)**2
Solve 3*c**2 - 597*c + 1764 = 0.
3, 196
What is u in -4*u**3 + 24*u**2 - 36*u + 16 = 0?
1, 4
Factor -2*p**4/9 + 8*p**3/9 + 22*p**2/9 + 4*p/3.
-2*p*(p - 6)*(p + 1)**2/9
Let 2*z**2/13 + 1042*z/13 = 0. What is z?
-521, 0
Factor 4*k**2 + 112*k + 108.
4*(k + 1)*(k + 27)
Let 3*s**2 - 1560*s + 202800 = 0. Calculate s.
260
Factor -2*q**2 - 3692*q - 1703858.
-2*(q + 923)**2
Factor j**3 - 73*j - 72.
(j - 9)*(j + 1)*(j + 8)
Factor -3*l**3/2 - 90*l**2 - 1869*l/2 - 846.
-3*(l + 1)*(l + 12)*(l + 47)/2
Solve 3*b**3/7 - 309*b**2/7 + 663*b - 4335/7 = 0.
1, 17, 85
Factor -t**4/3 - 10*t**3/3 - 4*t**2 + 24*t.
-t*(t - 2)*(t + 6)**2/3
Suppose -4*k**3 + 312*k**2 - 284*k - 1848 = 0. What is k?
-2, 3, 77
What is v in 5*v**4/3 + 15*v**3 + 130*v**2/3 + 40*v = 0?
-4, -3, -2, 0
Factor 4*a**5 + 16*a**4 + 24*a**3 + 16*a**2 + 4*a.
4*a*(a + 1)**4
Factor -2*n**2/5 + 10*n + 140.
-2*(n - 35)*(n + 10)/5
What is z in -z**3/2 + 19*z**2/2 - 25*z + 16 = 0?
1, 2, 16
Factor -4*z**3/5 + 672*z**2/5 - 1332*z/5 + 664/5.
-4*(z - 166)*(z - 1)**2/5
Suppose 2*n**4 + 12*n**3 - 2*n**2 - 12*n = 0. What is n?
-6, -1, 0, 1
Solve c**3/9 + 7*c**2/9 + 14*c/9 + 8/9 = 0.
-4, -2, -1
Find g, given that 5*g**5/4 - 5*g**4/4 - 5*g**3/4 + 5*g**2/4 = 0.
-1, 0, 1
Factor -2*f**2/9 + 214*f/9 + 24.
-2*(f - 108)*(f + 1)/9
Factor -26*y**3 - 100*y**2 - 62*y + 12.
-2*(y + 1)*(y + 3)*(13*y - 2)
Factor -3*c**3 - 198*c**2 - 4356*c - 31944.
-3*(c + 22)**3
Factor 5*f**2 + 1515*f - 4590.
5*(f - 3)*(f + 306)
Factor -2*t**5/19 + 12*t**4/19 - 16*t**3/19.
-2*t**3*(t - 4)*(t - 2)/19
Factor -x**2 - 35*x - 34.
-(x + 1)*(x + 34)
Factor -75*z**3/2 + 66*z**2 - 57*z/2.
-3*z*(z - 1)*(25*z - 19)/2
Determine y, given that -3*y**5/5 - 3*y**4 - 3*y**3/5 + 51*y**2/5 + 66*y/5 + 24/5 = 0.
-4, -1, 2
Let -2*p**4/11 + 172*p**3/11 - 1440*p**2/11 + 4212*p/11 - 378 = 0. Calculate p.
3, 77
Solve v**3/5 - 28*v**2/5 - 59*v/5 - 6 = 0.
-1, 30
Factor -2*m**5/5 - 6*m**4/5 + 6*m**3 - 34*m**2/5 + 12*m/5.
-2*m*(m - 1)**3*(m + 6)/5
Factor -3*x**4 - 1732*x**3 - 748222*x**2/3 + 500548*x/3 - 83521/3.
-(x + 289)**2*(3*x - 1)**2/3
Factor 5*h**3 + 40*h**2 - 20*h - 160.
5*(h - 2)*(h + 2)*(h + 8)
Factor w**2 - 111*w + 110.
(w - 110)*(w - 1)
Suppose d**5/2 - 13*d**4 + 120*d**3 - 448*d**2 + 512*d = 0. Calculate d.
0, 2, 8
Find f such that 3*f**3 - 3*f**2 - 6*f = 0.
-1, 0, 2
Determine i so that -2*i**2/13 + 224*i/13 + 226/13 = 0.
-1, 113
Find f, given that 14*f**4/11 - 186*f**3/11 + 52*f**2/11 = 0.
0, 2/7, 13
Let 5*f**5 - 5*f**4 - 15*f**3 + 5*f**2 + 10*f = 0. What is f?
-1, 0, 1, 2
Factor -2*u**4/7 + 22*u**3/7 - 72*u**2/7 + 72*u/7.
-2*u*(u - 6)*(u - 3)*(u - 2)/7
Factor 35*z**3 + 160*z**2 + 220*z + 80.
5*(z + 2)**2*(7*z + 4)
Let -b**5/2 + 7*b**4 - 33*b**3/2 - 56*b**2 - 32*b = 0. Calculate b.
-1, 0, 8
Suppose -5*r**4 + 10*r**3 + 20*r**2 - 40*r = 0. What is r?
-2, 0, 2
Let 3*t**3/8 + 72*t**2 - 1161*t/8 + 291/4 = 0. What is t?
-194, 1
Determine u, given that -2*u**5/9 - 2*u**4/9 + 26*u**3/9 + 50*u**2/9 + 8*u/3 = 0.
-3, -1, 0, 4
Factor -2*p**3/23 + 426*p**2/23 + 428*p/23.
-2*p*(p - 214)*(p + 1)/23
Factor 80*i**5 - 120*i**4 + 45*i**3.
5*i**3*(4*i - 3)**2
Suppose -f**3/4 - 274*f**2 = 0. Calculate f.
-1096, 0
Find m, given that -5*m**4 + 135*m**3 - 255*m**2 + 125*m = 0.
0, 1, 25
Factor -8*z**2/11 + 30*z - 82/11.
-2*(z - 41)*(4*z - 1)/11
Suppose 2*a**2 - 1324*a + 219122 = 0. Calculate a.
331
Factor -3*v**3 - 42*v**2 + 645*v - 1800.
-3*(v - 5)**2*(v + 24)
Factor -2*t**2/3 - 7426*t/15 + 2972/15.
-2*(t + 743)*(5*t - 2)/15
Solve -25*l**4 + 330*l**3 + 760*l**2 - 1290*l + 225 = 0.
-3, 1/5, 1, 15
Factor -2*f**5/3 - 20*f**4/3 - 8*f**3 + 48*f**2.
-2*f**2*(f - 2)*(f + 6)**2/3
Factor c**2 + 143*c - 438.
(c - 3)*(c + 146)
Factor y**4/2 - 11*y**3 + 93*y**2/2 + 180*y - 216.
(y - 12)**2*(y - 1)*(y + 3)/2
Suppose -b**5 + 124*b**4 - 3844*b**3 = 0. Calculate b.
0, 62
Factor -y**3/6 - 2*y**2/3 + y/6 + 2/3.
-(y - 1)*(y + 1)*(y + 4)/6
What is g in g**2 - 55*g = 0?
0, 55
Find k such that 24*k**4 + 294*k**3/11 + 30*k**2/11 = 0.
-1, -5/44, 0
Factor 3*r**3/7 + 39*r**2/7 + 66*r/7.
3*r*(r + 2)*(r + 11)/7
Factor 37*n**4 - 147*n**3 + 144*n**2 + 4*n.
n*(n - 2)**2*(37*n + 1)
Solve 4*r**2 + 14*r + 12 = 0.
-2, -3/2
Solve 2*q**5 + 2*q**4 - 20*q**3 + 16*q**2 = 0.
-4, 0, 1, 2
Solve -4*z**5 + 36*z**4 - 40*z**3 - 120*z**2 + 44*z + 84 = 0 for z.
-1, 1, 3, 7
Find t, given that 4*t**3/7 - 272*t**2/7 - 3468*t/7 + 353736/7 = 0.
-34, 51
Solve 2*s**3/9 - 76*s**2/9 - 26*s/3 = 0 for s.
-1, 0, 39
Let -3*c**4 + 24*c**3 - 54*c**2 + 48*c - 15 = 0. What is c?
1, 5
Suppose 27*b**4 + 1080*b**3 - 21*b**2 - 846*b - 240 = 0. Calculate b.
-40, -2/3, -1/3, 1
Factor 5*s**2/2 + 150*s + 3055/2.
5*(s + 13)*(s + 47)/2
Determine r, given that 2*r**4/9 - 2*r**3/3 + 8*r/9 = 0.
-1, 0, 2
Factor -3*j**5 - 3*j**4 + 6*j**3 + 6*j**2 - 3*j - 3.
-3*(j - 1)**2*(j + 1)**3
Factor -4*i**2/5 + 104*i/5 + 108/5.
-4*(i - 27)*(i + 1)/5
Factor w**3/2 + 1696*w**2 + 1438208*w.
w*(w + 1696)**2/2
Determine q, given that 5*q**3 - 3085*q**2 + 489440*q - 4158720 = 0.
9, 304
Factor 4*v**4 + 108*v**3 - 228*v**2 + 116*v.
4*v*(v - 1)**2*(v + 29)
Factor 26*j**5/25 + 22*j**4/25 - 4*j**3/25.
2*j**3*(j + 1)*(13*j - 2)/25
Factor -2*x**3/5 + 104*x**2/5 - 102*x/5.
-2*x*(x - 51)*(x - 1)/5
Factor -84*h**3 - 92*h**2 + 160*h + 16.
-4*(h - 1)*(h + 2)*(21*h + 2)
Factor 112*o**3 + 2628*o**2 - 1432*o + 192.
4*(o + 24)*(4*o - 1)*(7*o - 2)
Determine b, given that 945*b**3 + 825*b**2 - 140*b - 20 = 0.
-1, -2/21, 2/9
Factor -5*s**3 - 40*s**2 + 20*s + 160.
-5*(s - 2)*(s + 2)*(s + 8)
Solve 2*t**5/5 + 314*t**4/5 + 2302*t**3 - 64314*t**2/5 + 52488*t/5 = 0 for t.
-81, 0, 1, 4
Factor 3*f**3 - 24*f**2 + 60*f - 48.
3*(f - 4)*(f - 2)**2
What is m in 3*m**2/2 - 339*m + 38307/2 = 0?
113
Factor -h**3/2 - 63*h**2/2 - 1275*h/2 - 8125/2.
-(h + 13)*(h + 25)**2/2
Determine c, given that -33*c**3/4 + 135*c**2/4 - 3*c = 0.
0, 1/11, 4
Suppose -2*u**3 - 40*u**2 + 2*u + 40 = 0. Calculate u.
-20, -1, 1
Factor w**3/2 + 103*w**2/2 + 728*w + 2784.
(w + 8)**2*(w + 87)/2
Find k such that 27*k**3/8 - 3897*k**2/8 + 17331*k + 35643/2 = 0.
-1, 218/3
Factor 3*l**2/7 - 39*l/7.
3*l*(l - 13)/7
Find p, given that -26*p**2/9 + 4*p/3 = 0.
0, 6/13
Factor 2*m**2 - 466*m + 2280.
2*(m - 228)*(m - 5)
Find y such that -4*y**4/13 - 10*y**3/13 + 22*y**2/13 - 8*y/13 = 0.
-4, 0, 1/2, 1
Factor -p**4/2 + 8*p**3 + 35*p**2/2 + 9*p.
-p*(p - 18)*(p + 1)**2/2
Find u, given that 6*u**4/7 + 20*u**3 - 272*u**2/7 - 556*u/7 - 150/7 = 0.
-25, -1, -1/3, 3
Factor i**5/3 + 4*i**4/3 - 16*i**2/3 - 16*i/3.
i*(i - 2)*(i + 2)**3/3
Factor -v**3/6 - 22*v**2 - 87*v/2 - 65/3.
-(v + 1)**2*(v + 130)/6
Determine q so that -q**3/3 - 120*q**2 - 119*q + 718/3 = 0.
-359, -2, 1
Determine n, given that n**3/3 + 159*n**2 + 25281*n + 1339893 = 0.
-159
Factor 2*c**4/3 - 22*c**3/3 + 34*c**2/3 + 142*c/3 + 28.
2*(c - 7)*(c - 6)*(c + 1)**2/3
What is n in n**2/5 - 131*n/5 - 132/5 = 0?
-1, 132
Solve 3*t**3/4 - 3*t**2/2 - 9*t/4 = 0.
-1, 0, 3
Factor 3*p**2/7 - 120*p + 8400.
3*(p - 140)**2/7
Factor -5*i**3 - 90*i**2 - 300*i + 1000.
-5*(i - 2)*(i + 10)**2
Factor t**3/5 + 14*t**2/5 + 32*t/5 - 128/5.
(t - 2)*(t + 8)**2/5
Factor 2*s**2/5 - 386*s/5.
2*s*(s - 193)/5
Find g such that 12*g**5 + 75*g**4 - 18*g**3 - 681*g**2 - 744*g - 144 = 0.
-4, -1, -1/4, 3
Find t such that -5*t**3 + 75*t**2 - 135*t + 65 = 0.
1, 13
Let -7*m**5/5 + 44*m**4 - 442*m**3 + 1480*m**2 - 1131*m - 6084/5 = 0. What is m?
-4/7, 3, 13
Determine p so that -15*p**2 - 325*p + 110 = 0.
-22, 1/3
Suppose -g**4 + 197*g**3 + 3*g**2 - 593*g + 394 = 0. Calculate g.
-2, 1, 197
Suppose 4*y**3 - 8*y**2 - 20*y + 24 = 0. What is y?
-2, 1, 3
Factor -3*t**4 + 60*t**3 + 276*t**2 + 288*t.
-3*t*(t - 24)*(t + 2)**2
Determine q, given that q**5/2 + 25*q**4 + 48*q**3 = 0.
-48, -2, 0
Factor 3*i**4 - 45*i**3 + 114*i**2 - 72*i.
3*i*(i - 12)*(i - 2)*(i - 1)
Factor -5*i**2 + 295*i + 300.
-5*(i