
-5, -1, 1
Suppose 14739*t**3/5 + 10404*t**2/5 + 2448*t/5 + 192/5 = 0. Calculate t.
-4/17
Factor -2*o**4 + 38*o**3 - 180*o**2 + 328*o - 208.
-2*(o - 13)*(o - 2)**3
Factor 5*g**2 - 200*g - 205.
5*(g - 41)*(g + 1)
Factor g**3/7 + 14*g**2 - 43*g + 202/7.
(g - 2)*(g - 1)*(g + 101)/7
Factor t**2/2 + 33*t.
t*(t + 66)/2
Factor 3*y**5/2 + 192*y**4 + 8244*y**3 + 134400*y**2 + 735000*y.
3*y*(y + 14)**2*(y + 50)**2/2
Solve -3*p**4 + 45*p**3 - 57*p**2 - 261*p - 156 = 0 for p.
-1, 4, 13
What is c in -c**2 + 54*c - 53 = 0?
1, 53
Factor -5*l**3 + 5*l**2.
-5*l**2*(l - 1)
Factor -2116*s**4 - 2484*s**3 - 384*s**2 - 16*s.
-4*s*(s + 1)*(23*s + 2)**2
Factor -98*u**3/5 - 3976*u**2/5 - 2248*u/5 - 64.
-2*(u + 40)*(7*u + 2)**2/5
Determine v so that -10*v**3 + 5*v**2 = 0.
0, 1/2
Factor -2*h**2/13 + 6*h/13 - 4/13.
-2*(h - 2)*(h - 1)/13
What is t in -4*t**5 + 20*t**4 - 4*t**3 - 52*t**2 + 8*t + 32 = 0?
-1, 1, 2, 4
Factor 5*t**2 + 790*t + 31205.
5*(t + 79)**2
Solve w**3/3 - 19*w**2/3 + 112*w/3 - 64 = 0 for w.
3, 8
Determine k, given that -4*k**3 - 40*k**2 + 384*k = 0.
-16, 0, 6
Suppose -o**2/2 - 5*o/2 = 0. Calculate o.
-5, 0
Factor 9*x**2/5 + 591*x/5 - 198/5.
3*(x + 66)*(3*x - 1)/5
Factor z**4/4 + 23*z**3 + 135*z**2/2 + 67*z + 89/4.
(z + 1)**3*(z + 89)/4
Factor r**2 + 7*r + 6.
(r + 1)*(r + 6)
Let -12*m**2 + 88*m - 156 = 0. What is m?
3, 13/3
Factor z**2/2 - 1/2.
(z - 1)*(z + 1)/2
Suppose -2*x**2 - 276*x = 0. Calculate x.
-138, 0
Factor -29*u**3/3 - 114*u**2 - 324*u + 72.
-(u + 6)**2*(29*u - 6)/3
Find v, given that 50*v**4 - 1830*v**3 + 2762*v**2 + 1326*v + 140 = 0.
-1/5, 2, 35
Find k such that 3*k**4 - 29*k**3 + 59*k**2 - 19*k - 14 = 0.
-1/3, 1, 2, 7
Factor 2*p**4/3 + 16*p**3/3 - 20*p**2 + 64*p/3 - 22/3.
2*(p - 1)**3*(p + 11)/3
Find d, given that 4*d**4/3 - 290*d**3/3 + 1774*d**2 - 720*d - 2592 = 0.
-1, 3/2, 36
Find b such that -b**3/3 + 448*b**2/3 + b/3 - 448/3 = 0.
-1, 1, 448
Let -3*w**4 - 360*w**3 - 711*w**2 - 354*w = 0. Calculate w.
-118, -1, 0
Factor 5*s**2/4 + 445*s/4 - 455/2.
5*(s - 2)*(s + 91)/4
Factor -w**4/2 - 3*w**3/2 + 27*w**2/2 + 27*w/2 - 81.
-(w - 3)**2*(w + 3)*(w + 6)/2
Factor -4*n**4 + 8*n**3 + 156*n**2 - 160*n - 1600.
-4*(n - 5)**2*(n + 4)**2
Factor 5*x**3 - 118*x**2 + 672*x + 288.
(x - 12)**2*(5*x + 2)
Factor 3*r**2/8 + 45*r/4 - 51.
3*(r - 4)*(r + 34)/8
Factor -2*c**3/9 - 362*c**2/3 - 65522*c/3 - 11859482/9.
-2*(c + 181)**3/9
What is m in 5*m**5 - 5*m**3 = 0?
-1, 0, 1
Factor 2*m**2/7 + 88*m/7 + 968/7.
2*(m + 22)**2/7
Determine d so that 3*d**2/4 - 27*d/2 + 243/4 = 0.
9
Factor -5*i**3 - 65*i**2 - 235*i - 175.
-5*(i + 1)*(i + 5)*(i + 7)
Factor -2*h**4 - 304*h**3 + 306*h**2.
-2*h**2*(h - 1)*(h + 153)
Let 5*a**2 + 380*a + 5775 = 0. Calculate a.
-55, -21
Let 15*n**3 - 55*n**2 + 30*n = 0. Calculate n.
0, 2/3, 3
Determine s so that 3*s**2/7 + 153*s/7 + 150/7 = 0.
-50, -1
Factor -h**4/2 + 27*h**3/2 - 231*h**2/2 + 637*h/2.
-h*(h - 13)*(h - 7)**2/2
Factor 3*w**5 + 30*w**4 + 24*w**3 - 30*w**2 - 27*w.
3*w*(w - 1)*(w + 1)**2*(w + 9)
Factor -2*u**3 + 2*u**2 + 8*u - 8.
-2*(u - 2)*(u - 1)*(u + 2)
Factor -3*u**4 - 51*u**3 + 69*u**2 + 279*u + 162.
-3*(u - 3)*(u + 1)**2*(u + 18)
Solve 15*o**4/7 + 69*o**3/7 + 30*o**2/7 - 24*o/7 = 0 for o.
-4, -1, 0, 2/5
Factor l**3 + 719*l**2/7 + 508*l/7 - 204/7.
(l + 1)*(l + 102)*(7*l - 2)/7
Solve 110*x**2 - 245*x/6 + 10/3 = 0.
4/33, 1/4
Determine w, given that -5*w**5/3 + 172*w**4/3 - 223*w**3/3 - 268*w**2/3 + 44*w = 0.
-1, 0, 2/5, 2, 33
What is r in -3*r**4 + 255*r**3 + 1053*r**2 + 1329*r + 534 = 0?
-2, -1, 89
Factor -5*a**2/6 + 50*a.
-5*a*(a - 60)/6
Find n, given that 15*n**3 + 51*n**2 - 147*n + 81 = 0.
-27/5, 1
Find w, given that -w**4 - 160*w**3 - 6558*w**2 - 12640*w - 6241 = 0.
-79, -1
Factor 3*i**3 + 237*i**2 - 483*i + 243.
3*(i - 1)**2*(i + 81)
Solve -24*x**3/11 + 82*x**2/11 + 54*x/11 + 8/11 = 0.
-1/3, -1/4, 4
Let 4*l**4 + 64*l**3 + 164*l**2 - 376*l - 480 = 0. What is l?
-12, -5, -1, 2
Find o, given that 9*o**5/4 + 60*o**4 - 312*o**3 - 585*o**2/2 + 1239*o/4 + 465/2 = 0.
-31, -1, -2/3, 1, 5
Factor b**2 - 308*b + 307.
(b - 307)*(b - 1)
Factor 4*g**2 - 764*g + 760.
4*(g - 190)*(g - 1)
Factor 9*u**3 + 319*u**2 + 446*u + 136.
(u + 1)*(u + 34)*(9*u + 4)
Find n, given that n**4/5 - 172*n**3/5 - 174*n**2/5 + 172*n/5 + 173/5 = 0.
-1, 1, 173
Factor 68*i**4 - 196*i**3 + 112*i**2 + 16*i.
4*i*(i - 2)*(i - 1)*(17*i + 2)
What is q in q**3 - 58*q**2/3 + 68*q/3 + 24 = 0?
-2/3, 2, 18
Factor -2*p**2/13 + 1972*p/13 - 486098/13.
-2*(p - 493)**2/13
Factor -h**4/6 + 15*h**3/2 + 71*h**2/3 + 16*h.
-h*(h - 48)*(h + 1)*(h + 2)/6
Suppose -4*w**4/5 + 48*w**3/5 + 172*w**2/5 + 24*w = 0. What is w?
-2, -1, 0, 15
Factor 2*n**4 + 2420*n**3 + 734466*n**2 + 1461680*n + 729632.
2*(n + 1)**2*(n + 604)**2
Find j such that -5*j**2 + 20*j = 0.
0, 4
Find l, given that 2*l**4 - 72*l**3 + 810*l**2 - 2700*l = 0.
0, 6, 15
Factor 2*k**2/7 + 268*k/7 + 8978/7.
2*(k + 67)**2/7
Suppose 15*q**2 - 200*q - 140 = 0. Calculate q.
-2/3, 14
Suppose -18*p**5 + 320*p**4 - 576*p**3 - 7668*p**2 - 8206*p - 1452 = 0. What is p?
-3, -1, -2/9, 11
Suppose 4*f**2 - 8852*f - 8856 = 0. Calculate f.
-1, 2214
Factor 3*w**2/2 + 2370*w + 936150.
3*(w + 790)**2/2
Suppose 3*w**4 - 33*w**3 + 102*w**2 - 72*w = 0. What is w?
0, 1, 4, 6
Factor -60*n**2 - 441*n - 783.
-3*(n + 3)*(20*n + 87)
Factor -v**5 + 35*v**4 - 400*v**3 + 1500*v**2.
-v**2*(v - 15)*(v - 10)**2
Let -2*b**4/13 + 76*b**3/13 - 1056*b**2/13 + 6400*b/13 - 14336/13 = 0. Calculate b.
8, 14
Factor -25*r**3 - 160*r**2 - 285*r - 90.
-5*(r + 3)**2*(5*r + 2)
Suppose -4*s**4/7 - 12*s**3/7 - 8*s**2/7 = 0. What is s?
-2, -1, 0
Solve o**4/4 + 3*o**3/4 - 3*o**2/2 - 2*o = 0.
-4, -1, 0, 2
Find h, given that -34*h**5 + 234*h**4 - 482*h**3 + 246*h**2 + 36*h = 0.
-2/17, 0, 1, 3
Determine t so that -3*t**2 + 75*t + 672 = 0.
-7, 32
Determine m, given that 4*m**5 - 76*m**4 + 308*m**3 - 404*m**2 + 168*m = 0.
0, 1, 3, 14
Factor 2*b**3/11 - 48*b**2/11 + 384*b/11 - 1024/11.
2*(b - 8)**3/11
Let u**4 - 12*u**3 + 41*u**2 - 30*u = 0. Calculate u.
0, 1, 5, 6
Factor -5*r**2 - 340*r - 660.
-5*(r + 2)*(r + 66)
Factor -10*x**2 - 14*x + 12.
-2*(x + 2)*(5*x - 3)
Factor -2*a**3/3 - 44*a**2/9 - 10*a/9 + 28/9.
-2*(a + 1)*(a + 7)*(3*a - 2)/9
Factor -6*o**2/11 - 606*o/11 - 1764/11.
-6*(o + 3)*(o + 98)/11
Determine a, given that -303*a**3 - 3032*a**2 - 2747*a - 18 = 0.
-9, -1, -2/303
Solve -5*u**4 + 2430*u**3 - 292785*u**2 - 602680*u + 893040 = 0.
-3, 1, 244
What is a in -2*a**3/17 - 1276*a**2/17 + 2560*a/17 = 0?
-640, 0, 2
Suppose -8*w**4 + 34*w**3 - 34*w + 8 = 0. What is w?
-1, 1/4, 1, 4
Solve -5*g**4 - 280*g**3 - 4800*g**2 - 16000*g + 160000 = 0 for g.
-20, 4
Let 4*s**4 + 1440*s**3 - 2924*s**2 - 10152*s - 5792 = 0. What is s?
-362, -1, 4
Factor 2*u**3/5 - u**2 - 6*u/5 + 9/5.
(u - 3)*(u - 1)*(2*u + 3)/5
Suppose 26*i**4 + 146*i**3 + 54*i**2 - 146*i - 80 = 0. Calculate i.
-5, -1, -8/13, 1
Let -8*y**4/5 - 178*y**3/5 - 1104*y**2/5 - 936*y/5 + 6048/5 = 0. What is y?
-12, -6, 7/4
Suppose -s**5/10 + s**4/10 + 41*s**3/10 - s**2/10 - 44*s - 40 = 0. Calculate s.
-4, -1, 5
Factor 2*l**4 - 6*l**3 - 8*l**2.
2*l**2*(l - 4)*(l + 1)
Factor 2*g**2 - 36*g - 176.
2*(g - 22)*(g + 4)
Let -p**5/4 - p**4/4 + 11*p**3/4 + 29*p**2/4 + 13*p/2 + 2 = 0. Calculate p.
-2, -1, 4
Factor 2*u**5/3 - 22*u**4/3 - 26*u**3 - 82*u**2/3 - 28*u/3.
2*u*(u - 14)*(u + 1)**3/3
Factor 5*f**4 + 5*f**3 - 260*f**2 + 820*f - 720.
5*(f - 4)*(f - 2)**2*(f + 9)
Factor -3*c**2/4 - 18*c + 75/4.
-3*(c - 1)*(c + 25)/4
What is w in 3*w**5/2 - 12*w**4 - 15*w**3 + 12*w**2 + 27*w/2 = 0?
-1, 0, 1, 9
Factor -100*t**3 - 95*t**2 + 5*t.
-5*t*(t + 1)*(20*t - 1)
Suppose -2*z**4 + 104*z**3 - 100*z**2 - 104*z + 102 = 0. What is z?
-1, 1, 51
Factor 2*v**3/3 + 158*v**2/3 - 2162*v/3 + 2002/3.
2*(v - 11)*(v - 1)*(v + 91)/3
Factor 25*u**3/3 - 1615*u**2/3 + 25256*u/3 + 26896/3.
(u + 1)*(5*u - 164)**2/3
Suppose -2*f**2/5 + 10*f + 52/5 = 0. Calculate f.
-1, 26
Let -5*a**2 - 195*a - 990 = 0. What is a?
-33, -6
Factor 2*p**3/9 - 10*p**2/9 + 14*p/9 - 2/3.
2*(p - 3)*(p - 1)**2/9
Determine y so that -y**3/6 + 8*y**2/3 - 77*y/6 + 49/3 = 0.
2, 7
Find g, given that -g**4 + 3*g**3 - 2*g**2 = 0.
0, 1, 2
Factor -f**2/5 + 124*f/5 - 3844/5.
-(f - 62)**2/5
Factor -4*h**3 + 4*h**2 + 8*h.
-4*h*(h - 2)*(h + 1)
Factor -4*x**2/3 - 124*x/3 - 232/3.
-4*(x + 2)*(x + 29)/3
Let -845