1, 0, 9
Solve -3*x**2/4 + 207*x/4 - 240 = 0 for x.
5, 64
Find t such that -t**5/3 - 8*t**4 + 29*t**3/3 + 32*t**2 - 100*t/3 = 0.
-25, -2, 0, 1, 2
Find n, given that 3*n**5/5 - 351*n**4/5 - 717*n**3/5 + 351*n**2/5 + 714*n/5 = 0.
-2, -1, 0, 1, 119
Solve -2*b**5/7 + 10*b**4/7 = 0 for b.
0, 5
Factor -16*y**2 - 140*y - 96.
-4*(y + 8)*(4*y + 3)
Factor 2*p**4/5 - 14*p**3/5 + 14*p**2/5 + 6*p.
2*p*(p - 5)*(p - 3)*(p + 1)/5
Let 2*j**5/3 - 139*j**4/3 + 2375*j**3/3 + 1577*j**2/3 - 6265*j/3 + 2450/3 = 0. What is j?
-2, 1/2, 1, 35
Solve 3*z**5 + 120*z**4 - 264*z**3 - 498*z**2 + 261*z + 378 = 0 for z.
-42, -1, 1, 3
Let 4*d**3/3 - 2144*d**2/9 - 724*d/9 + 1432/9 = 0. Calculate d.
-1, 2/3, 179
Factor -a**3/7 + 75*a**2/7 + 234*a/7.
-a*(a - 78)*(a + 3)/7
Determine g so that -2*g**4/5 + 12*g**3/5 + 14*g**2/5 - 96*g/5 + 72/5 = 0.
-3, 1, 2, 6
Factor 64*p**3 + 48*p**2 + 9*p.
p*(8*p + 3)**2
Factor -l**3/6 + l**2/3 + 91*l/6 + 44/3.
-(l - 11)*(l + 1)*(l + 8)/6
Factor 4*x**4/3 - 55*x**3/3 - 74*x**2/3 - 5*x.
x*(x - 15)*(x + 1)*(4*x + 1)/3
Find c such that -5*c**2 + 4070*c - 828245 = 0.
407
What is s in -4*s**4 + 76*s**3 - 420*s**2 + 196*s + 2744 = 0?
-2, 7
Solve -f**3 - 6*f**2 + f + 6 = 0.
-6, -1, 1
Solve -2*j**5 + 12*j**4 + 16*j**3 - 96*j**2 - 32*j + 192 = 0 for j.
-2, 2, 6
Factor 484*f**2 - 165000*f + 14062500.
4*(11*f - 1875)**2
Determine c so that 4*c**5/5 - 328*c**4/5 - 1704*c**3/5 - 3104*c**2/5 - 2428*c/5 - 696/5 = 0.
-2, -1, 87
Solve -2*r**4/15 - 38*r**3/15 + 94*r**2/15 + 186*r + 540 = 0.
-18, -5, 9
Factor -4*h**2/5 + 464*h/5 + 468/5.
-4*(h - 117)*(h + 1)/5
Find c, given that 5*c**2 - 2010*c + 202005 = 0.
201
Factor 4*b**3 - 12*b**2 - 36*b - 20.
4*(b - 5)*(b + 1)**2
Suppose -26912*x**2/11 - 3248*x/11 - 98/11 = 0. Calculate x.
-7/116
Determine l, given that -4*l**3 + 104*l**2 - 192*l = 0.
0, 2, 24
Factor 39*f**2 + 85*f + 46.
(f + 1)*(39*f + 46)
Factor -3*m**2 - 66*m + 69.
-3*(m - 1)*(m + 23)
What is x in 40*x**4 + 475*x**3 + 780*x**2 + 295*x - 50 = 0?
-10, -1, 1/8
Find y, given that -2*y**4/3 + 20*y**3/3 - 24*y**2 + 36*y - 18 = 0.
1, 3
What is q in -7*q**3 - 20*q**2 - 11*q + 2 = 0?
-2, -1, 1/7
Determine j so that -98*j**4/3 - 994*j**3 - 11012*j**2/3 + 2344*j - 1040/3 = 0.
-26, -5, 2/7
Suppose -2*s**3 + 76*s**2 + 510*s + 792 = 0. What is s?
-3, 44
Factor q**2 + 14*q.
q*(q + 14)
Factor 2*v**3/9 - 656*v**2/9 + 1306*v/9 - 652/9.
2*(v - 326)*(v - 1)**2/9
Factor 8*c**3 + 7*c**2 - 49*c + 6.
(c - 2)*(c + 3)*(8*c - 1)
Find n such that -5*n**4/3 - 62*n**3/3 + 44*n**2/3 + 62*n/3 - 13 = 0.
-13, -1, 3/5, 1
Find f such that 3*f**2/5 + 6*f/5 - 9/5 = 0.
-3, 1
Factor -t**3/3 - 1384*t**2/3.
-t**2*(t + 1384)/3
Find k, given that -k**3/3 - 8*k**2/3 - 7*k/3 = 0.
-7, -1, 0
What is h in 4*h**4 + 44*h**3 + 76*h**2 + 36*h = 0?
-9, -1, 0
Factor 4*c**3/5 - 22*c**2/5 - 12*c/5.
2*c*(c - 6)*(2*c + 1)/5
Factor -3*q**5 + 6*q**4 - 3*q**3.
-3*q**3*(q - 1)**2
Factor -3*k**4/7 + 12*k**3/7 + 468*k**2/7 + 1728*k/7.
-3*k*(k - 16)*(k + 6)**2/7
Suppose 10*y**4 - 65*y**3 + 120*y**2 - 45*y = 0. Calculate y.
0, 1/2, 3
Factor -2*j**3 - 78*j**2 + 92*j + 480.
-2*(j - 3)*(j + 2)*(j + 40)
Find p, given that -5*p**3 + 235*p**2 + 770*p - 1000 = 0.
-4, 1, 50
Factor 3*z**5 + 6*z**4 - 6*z**2 - 3*z.
3*z*(z - 1)*(z + 1)**3
Suppose 8*w**5/5 - 6*w**4 - 8*w**3/5 + 128*w**2/5 - 96*w/5 - 32/5 = 0. What is w?
-2, -1/4, 2
Factor g**3 + 3*g**2 - 4*g.
g*(g - 1)*(g + 4)
Solve 34*d**4/11 - 98*d**3/11 + 90*d**2/11 - 2*d - 4/11 = 0.
-2/17, 1
Determine q so that 8*q**2/9 - 590*q - 1328/9 = 0.
-1/4, 664
Factor 5*o**2/4 - 37*o/4 + 7/2.
(o - 7)*(5*o - 2)/4
Factor -2*l**4/3 - 20*l**3/3 - 18*l**2 - 12*l.
-2*l*(l + 1)*(l + 3)*(l + 6)/3
Determine q so that -4*q**4 - 1464*q**3 - 132480*q**2 + 270848*q = 0.
-184, 0, 2
Factor 8*t**3 + 33*t**2 + 36*t + 4.
(t + 2)**2*(8*t + 1)
Factor -r**4 - 90*r**3 - 176*r**2.
-r**2*(r + 2)*(r + 88)
Solve 65*m**3 - 5210*m**2 + 104800*m - 16000 = 0.
2/13, 40
Factor 5*b**3 + 15*b**2 - 245*b + 225.
5*(b - 5)*(b - 1)*(b + 9)
Factor 3*f**3 - 12*f**2 - 213*f - 198.
3*(f - 11)*(f + 1)*(f + 6)
Factor -95*a**2/4 + a/2.
-a*(95*a - 2)/4
Find d, given that 5*d**2 - 5*d - 10 = 0.
-1, 2
Factor -z**3/3 + 10*z**2/3 + 23*z + 30.
-(z - 15)*(z + 2)*(z + 3)/3
Factor -87*g**2 + 178*g - 8.
-(g - 2)*(87*g - 4)
Factor -7*i**2 + 4735*i - 2028.
-(i - 676)*(7*i - 3)
Solve -5*y**3 + 15*y**2 + 120*y + 140 = 0.
-2, 7
Solve 507*h**2 - 26*h + 1/3 = 0 for h.
1/39
Factor -2*v**3 + 112*v**2 + 18*v - 1008.
-2*(v - 56)*(v - 3)*(v + 3)
Suppose -6*p**3 - 152*p**2 + 106*p + 52 = 0. Calculate p.
-26, -1/3, 1
Factor 25*u**3 - 205*u**2 + 219*u - 63.
(u - 7)*(5*u - 3)**2
Factor -2*g**4/3 - g**3 + g/3.
-g*(g + 1)**2*(2*g - 1)/3
Suppose 2*b**4/7 + 18*b**3/7 + 58*b**2/7 + 78*b/7 + 36/7 = 0. What is b?
-3, -2, -1
Factor 2*v**2/21 - 262*v/21 + 172/7.
2*(v - 129)*(v - 2)/21
Factor 3*z**2 - 363*z - 366.
3*(z - 122)*(z + 1)
Factor -4*x**4/7 - 36*x**3 - 732*x**2/7 - 724*x/7 - 240/7.
-4*(x + 1)**3*(x + 60)/7
Factor -4*b**3/5 + 108*b**2/5 - 824*b/5 + 384.
-4*(b - 16)*(b - 6)*(b - 5)/5
Factor -75*u**2 + 160*u - 20.
-5*(u - 2)*(15*u - 2)
Solve 2*u**2/15 + 388*u/5 + 56454/5 = 0.
-291
Solve 4*p**5 - p**4/7 - 198*p**3/7 + 25*p**2 + 8*p/7 - 12/7 = 0.
-3, -1/4, 2/7, 1, 2
What is t in -378*t**2 + 380*t - 2 = 0?
1/189, 1
Find i such that -78*i**3 - 304*i**2 + 422*i - 40 = 0.
-5, 4/39, 1
Factor z**2/4 + 539*z/2.
z*(z + 1078)/4
Factor -2*a**4/5 - 14*a**3/5 + 16*a**2 - 88*a/5.
-2*a*(a - 2)**2*(a + 11)/5
Suppose 3*j**5 + 54*j**4 + 138*j**3 + 36*j**2 - 141*j - 90 = 0. Calculate j.
-15, -2, -1, 1
Factor 5*t**4 + 2420*t**3 + 386310*t**2 + 19661060*t - 108268675.
5*(t - 5)*(t + 163)**3
Factor 5*t**5 + 280*t**4 + 5360*t**3 + 36720*t**2 + 19440*t - 233280.
5*(t - 2)*(t + 4)*(t + 18)**3
Determine w so that w**5/3 + 4*w**4/3 + 2*w**3/3 - 4*w**2/3 - w = 0.
-3, -1, 0, 1
Solve 37*v**2 + 34*v - 3 = 0 for v.
-1, 3/37
Find l such that -18*l**3 - 1095*l**2 + 1299*l - 186 = 0.
-62, 1/6, 1
Find f, given that 9*f**4/5 + 20*f**3 - 9*f**2/5 - 20*f = 0.
-100/9, -1, 0, 1
Let a**4/9 + 5*a**3/3 - 41*a**2/9 - 41*a/3 - 68/9 = 0. What is a?
-17, -1, 4
Factor 4*o**3 + 259*o**2 + 185*o - 448.
(o - 1)*(o + 64)*(4*o + 7)
Solve 2*h**3/5 - 46*h**2/5 - 52*h/5 + 96/5 = 0.
-2, 1, 24
Factor 2*h**5/5 + 12*h**4/5 + 4*h**3/5 - 72*h**2/5 - 54*h/5 + 108/5.
2*(h - 2)*(h - 1)*(h + 3)**3/5
Factor 11*c**4 - 68*c**3 + 111*c**2 - 18*c.
c*(c - 3)**2*(11*c - 2)
Factor 4*d**3 - 824*d**2 + 1636*d - 816.
4*(d - 204)*(d - 1)**2
Factor 3*a**3 + 51*a**2 + 93*a + 45.
3*(a + 1)**2*(a + 15)
Let 2*h**4 + 8*h**3/7 - 24*h**2 + 128*h/7 + 128/7 = 0. What is h?
-4, -4/7, 2
Factor -2*v**3 + 124*v**2 - 320*v - 57600.
-2*(v - 40)**2*(v + 18)
Let z**4 - 2*z**3 - 13*z**2 + 38*z - 24 = 0. Calculate z.
-4, 1, 2, 3
Factor 5*r**2 + 8325*r.
5*r*(r + 1665)
Solve 3*b**3/5 - 3*b**2/5 - 3*b/5 + 3/5 = 0 for b.
-1, 1
Solve 4*k**4 - 24*k**2 - 32*k - 12 = 0.
-1, 3
Determine x so that -x**4/6 + 17*x**3/2 - 25*x**2/3 = 0.
0, 1, 50
Let -12*m**5 + 2*m**4 + 72*m**3 + 84*m**2 + 20*m - 6 = 0. What is m?
-1, 1/6, 3
Solve 3*j**4 - 18*j**3 + 33*j**2 - 18*j = 0 for j.
0, 1, 2, 3
Solve u**5/2 - 9*u**4 + 47*u**3 - 6*u**2 - 959*u/2 + 735 = 0.
-3, 2, 5, 7
Determine u, given that -u**5/2 - 4*u**4 - 11*u**3 - 12*u**2 - 9*u/2 = 0.
-3, -1, 0
Factor 5*c**3/2 + 1235*c**2/2.
5*c**2*(c + 247)/2
Let -168*a**3 + 598*a**2 + 288*a + 32 = 0. What is a?
-1/4, -4/21, 4
Let -3*h**4 - 45*h**3 - 39*h**2 + 45*h + 42 = 0. What is h?
-14, -1, 1
Find m, given that -5*m**3/4 + 15*m**2/2 + 605*m/4 + 525/2 = 0.
-7, -2, 15
What is y in -5*y**3 - 2600*y**2 - 10340*y - 10320 = 0?
-516, -2
Determine w, given that -3*w**2/5 + 306*w/5 - 7803/5 = 0.
51
Suppose -4*p**5/19 - 10*p**4/19 + 10*p**2/19 + 4*p/19 = 0. What is p?
-2, -1, -1/2, 0, 1
Factor -a**3/3 + 9*a**2 - 50*a/3.
-a*(a - 25)*(a - 2)/3
Determine f, given that -7*f**2/2 - 218*f - 62 = 0.
-62, -2/7
Solve 2*g**3 - 170*g**2 + 2726*g + 39762 = 0 for g.
-9, 47
Determine l, given that -36*l**4 - 38001*l**3 - 22158*l**2 - 3165*l = 0.
-1055, -1/3, -1/4, 0
Factor -q**3/4 - 59*q**2/2 + 119*q/4.
-q*(q - 1)*(q + 119)/4
Factor j**3/3 - 167*j**2/3 + 2296*j + 2352.
(j - 84)**2*(j + 1)/3
Solve -3*l**3 - 72*l**2 - 468*l - 672 = 0.
-14, -8, -2
Let -2*a**5/11 - 8*a**4/11 + 56*a**3/11 + 320*a**2/11 + 384*a/11 = 0. Calculate a.
-4, -2, 0, 6
Determine x, given that 