4/9 - 2*i**3/3 - 68*i**2/9 - 104*i/9 - 16/3 = 0.
-2, -1, 3
Suppose k**3/4 + 13*k**2/2 + 135*k/4 - 81/2 = 0. Calculate k.
-18, -9, 1
Factor 3*w**3 + 27*w**2 - 1344*w + 7056.
3*(w - 12)*(w - 7)*(w + 28)
Factor 2*t**2/7 - 94*t/7 - 300/7.
2*(t - 50)*(t + 3)/7
Determine r so that r**3/5 + 13*r**2/2 - 33*r/10 = 0.
-33, 0, 1/2
Solve 5*h**4 + 36490*h**3 + 66648945*h**2 + 266158060*h + 266012180 = 0.
-3647, -2
Factor -2*z**3/5 + 4392*z**2/5 - 3214944*z/5 + 784446336/5.
-2*(z - 732)**3/5
Factor 3*z**4 + 18*z**3 - 57*z**2 - 72*z.
3*z*(z - 3)*(z + 1)*(z + 8)
Factor v**2 - 24*v.
v*(v - 24)
Factor -24*u**4 - 3*u**3 + 24*u**2 + 3*u.
-3*u*(u - 1)*(u + 1)*(8*u + 1)
Factor 3*p**4 - 21*p**3 + 18*p**2.
3*p**2*(p - 6)*(p - 1)
Suppose w**2 - 1780*w + 792100 = 0. What is w?
890
Solve 4*q**2/3 + 4628*q/3 = 0 for q.
-1157, 0
Let -d**5/5 + 11*d**3/5 + 18*d**2/5 + 8*d/5 = 0. Calculate d.
-2, -1, 0, 4
Factor -2*r**3/23 - 6*r**2/23 + 8*r/23 + 24/23.
-2*(r - 2)*(r + 2)*(r + 3)/23
Determine n, given that -9*n**3 + 187*n**2 + 456*n + 92 = 0.
-2, -2/9, 23
Determine r so that 5*r**3 - 65*r + 60 = 0.
-4, 1, 3
Factor 2*m**4/3 + 6*m**3 + 40*m**2/3.
2*m**2*(m + 4)*(m + 5)/3
Solve 2*x**4/5 + 42*x**3/5 + 118*x**2/5 - 378*x/5 - 1224/5 = 0 for x.
-17, -4, -3, 3
Factor -3*a**3/7 - 96*a**2/7 + 543*a/7 - 444/7.
-3*(a - 4)*(a - 1)*(a + 37)/7
Factor -f**4/4 - 9*f**3/4 - 15*f**2/4 - 7*f/4.
-f*(f + 1)**2*(f + 7)/4
Find x, given that -5*x**5 + 35*x**4 + 85*x**3 + 45*x**2 = 0.
-1, 0, 9
Factor v**3/3 - 12*v.
v*(v - 6)*(v + 6)/3
Factor -k**3/6 - 2*k**2 + 10*k + 400/3.
-(k - 8)*(k + 10)**2/6
Suppose -2*u**3/21 - 38*u**2/21 - 100*u/21 - 64/21 = 0. Calculate u.
-16, -2, -1
Let 3*f**3/4 + 223*f**2/4 - 189*f/2 + 38 = 0. What is f?
-76, 2/3, 1
Solve -12*w**4 - 93*w**3 + 264*w**2 - 60*w = 0 for w.
-10, 0, 1/4, 2
What is j in j**5 + 2*j**4 - 6*j**3 - 8*j**2 + 5*j + 6 = 0?
-3, -1, 1, 2
Factor m**5 + 101*m**4 + 194*m**3 - 404*m**2 - 792*m.
m*(m - 2)*(m + 2)**2*(m + 99)
Factor 2*n**4/3 - 22*n**3/3 - 68*n**2.
2*n**2*(n - 17)*(n + 6)/3
Suppose 2*i**5 + 6404*i**4/5 + 1790*i**3 + 2556*i**2/5 = 0. Calculate i.
-639, -1, -2/5, 0
Solve -3*s**5/2 + 15*s**4 - 111*s**3/2 + 90*s**2 - 54*s = 0 for s.
0, 2, 3
Determine c so that 16*c**5/15 + 6*c**4/5 - 2*c**3 - 4*c**2/15 = 0.
-2, -1/8, 0, 1
What is l in 4*l**5/3 - 82*l**4/3 + 310*l**3/3 - 352*l**2/3 - 8*l/3 + 128/3 = 0?
-1/2, 1, 2, 16
Factor -q**4/6 - 25*q**3/6 - 89*q**2/6 - 107*q/6 - 7.
-(q + 1)**2*(q + 2)*(q + 21)/6
Solve -3*k**4 - 9*k**3 + 126*k**2 + 516*k + 504 = 0 for k.
-6, -2, 7
Let -d**5 + d**4/2 + 21*d**3/2 + 13*d**2 + 4*d = 0. What is d?
-2, -1, -1/2, 0, 4
Suppose 2*g**3/9 + 10*g**2/9 - 2*g/9 - 10/9 = 0. Calculate g.
-5, -1, 1
Factor -65*w**5 + 135*w**4 + 180*w**3.
-5*w**3*(w - 3)*(13*w + 12)
Find k, given that 49*k**4 + 161*k**3 - 153*k**2 - 53*k - 4 = 0.
-4, -1/7, 1
Factor y**2/4 - 37*y + 147/4.
(y - 147)*(y - 1)/4
Factor 8*n**5/5 + 28*n**4/5 + 36*n**3/5 + 4*n**2 + 4*n/5.
4*n*(n + 1)**3*(2*n + 1)/5
Factor -t**5 + 11*t**4 - 19*t**3 + 9*t**2.
-t**2*(t - 9)*(t - 1)**2
Suppose -125*q**4 - 3350*q**3 + 4140*q**2 - 1672*q + 224 = 0. Calculate q.
-28, 2/5
What is q in -q**2/5 - 21*q/5 - 54/5 = 0?
-18, -3
Factor 5*m**3 - 140*m**2 - 8320*m - 76800.
5*(m - 60)*(m + 16)**2
Let 2*c**4 + 2*c**3 - 20*c**2 + 16*c = 0. What is c?
-4, 0, 1, 2
Factor 3*m**4 + 29*m**3 + 80*m**2 + 68*m.
m*(m + 2)**2*(3*m + 17)
Factor w**2/4 + 17*w/4 + 4.
(w + 1)*(w + 16)/4
Factor 2*t**5 - 14*t**4 + 34*t**3 - 34*t**2 + 12*t.
2*t*(t - 3)*(t - 2)*(t - 1)**2
What is t in 2*t**3 - 1312*t**2 + 216474*t - 427716 = 0?
2, 327
Factor -o**5/5 + 6*o**3/5 + 8*o**2/5 + 3*o/5.
-o*(o - 3)*(o + 1)**3/5
Find r, given that -12*r**4 - 28*r**3 + 144*r**2 + 208*r - 192 = 0.
-4, -2, 2/3, 3
Let 2*q**4 - 192*q**3 + 746*q**2 - 924*q + 368 = 0. What is q?
1, 2, 92
Determine x so that 12*x**2 - 867*x + 216 = 0.
1/4, 72
Factor -z**4/3 - 644*z**3/3 - 111124*z**2/3 - 798560*z - 4612800.
-(z + 12)**2*(z + 310)**2/3
Factor o**3/4 - 9*o**2/2 - 10*o.
o*(o - 20)*(o + 2)/4
Factor -20*i**3 + 35*i**2 + 25*i - 30.
-5*(i - 2)*(i + 1)*(4*i - 3)
What is j in -j**3 + 28*j**2 - 77*j + 50 = 0?
1, 2, 25
Factor -5*n**2 + 25*n.
-5*n*(n - 5)
Solve i**2/2 - 17*i + 289/2 = 0 for i.
17
Find v, given that 5*v**5/3 - 1885*v**4/3 + 1875*v**3 - 5615*v**2/3 + 1870*v/3 = 0.
0, 1, 374
Factor -y**4 - 40*y**3 + 126*y**2 - 128*y + 43.
-(y - 1)**3*(y + 43)
Determine i, given that -2*i**2/11 + 868*i/11 - 866/11 = 0.
1, 433
Factor -12*m**3 + 64*m**2 - 48*m - 64.
-4*(m - 4)*(m - 2)*(3*m + 2)
Determine y, given that 10*y**4 + 75*y**3 + 150*y**2 + 25*y - 60 = 0.
-4, -3, -1, 1/2
Factor -4*x**4 + 68*x**3 - 412*x**2 + 1068*x - 1008.
-4*(x - 7)*(x - 4)*(x - 3)**2
Factor 14*z**2/3 + 290*z/3 - 304/3.
2*(z - 1)*(7*z + 152)/3
Find a, given that 2*a**2/3 + 4888*a/3 + 2986568/3 = 0.
-1222
Let 5*j**4 + 165*j**3 + 275*j**2 - 1065*j + 620 = 0. What is j?
-31, -4, 1
Factor -4*u**5 - 148*u**4 - 544*u**3 - 528*u**2.
-4*u**2*(u + 2)**2*(u + 33)
Let -25*g**5 + 185*g**4 + 155*g**3 - 265*g**2 - 130*g + 80 = 0. Calculate g.
-1, 2/5, 1, 8
Factor -2*j**2/5 + 126*j/5 + 52.
-2*(j - 65)*(j + 2)/5
Determine r so that -8*r**4/3 - 22*r**3/3 - 10*r**2/3 + 4*r/3 = 0.
-2, -1, 0, 1/4
Factor -f**3/4 + 55*f**2/4 - 107*f/4 + 53/4.
-(f - 53)*(f - 1)**2/4
Factor 5*v**3 - 45*v**2 + 100*v.
5*v*(v - 5)*(v - 4)
Let t**5 + t**4 - 2*t**3 = 0. Calculate t.
-2, 0, 1
Factor -3*f**2 - 2685*f + 5382.
-3*(f - 2)*(f + 897)
Suppose 4*t**4 - 40*t**3 + 148*t**2 - 240*t + 144 = 0. Calculate t.
2, 3
Let -n**2/4 - 333*n - 1331/4 = 0. What is n?
-1331, -1
Determine p, given that 3*p**5/5 + 9*p**4/5 + 3*p**3/5 - 9*p**2/5 - 6*p/5 = 0.
-2, -1, 0, 1
Factor 3*v**2/2 + 135*v - 273/2.
3*(v - 1)*(v + 91)/2
Let 3*n**3/7 - 240*n**2/7 = 0. What is n?
0, 80
Factor 2*h**4 + 36*h**3 - 40*h**2 - 36*h + 38.
2*(h - 1)**2*(h + 1)*(h + 19)
Factor -2*z**2 + 194*z + 196.
-2*(z - 98)*(z + 1)
Factor -2*t**3 - 398*t**2 + 2*t + 398.
-2*(t - 1)*(t + 1)*(t + 199)
Solve 3*k**5/2 + 15*k**4/2 - 45*k**3/2 - 375*k**2/2 - 339*k - 180 = 0 for k.
-4, -3, -2, -1, 5
Suppose -9*q**5/2 + 19*q**4 + 5*q**3 - 56*q**2 - 57*q/2 + 9 = 0. What is q?
-1, 2/9, 3
Factor 48*m**4 - 264*m**3 + 315*m**2 - 111*m + 12.
3*(m - 4)*(m - 1)*(4*m - 1)**2
Let -2*k**2/3 + 80*k/3 + 352/3 = 0. Calculate k.
-4, 44
Determine s, given that 4*s**5 + 24*s**4 - 648*s**3 + 3456*s**2 - 7452*s + 5832 = 0.
-18, 3
Factor 3*u**2/5 - 219*u/5 + 216/5.
3*(u - 72)*(u - 1)/5
Determine k, given that -2*k**2/7 + 2*k/7 + 40/7 = 0.
-4, 5
What is h in h**3 + h**2 - 24*h + 36 = 0?
-6, 2, 3
Find n, given that 2*n**2/9 - 8*n/9 = 0.
0, 4
Factor v**2/2 + 99*v/2 + 144.
(v + 3)*(v + 96)/2
Suppose c**5/7 - 8*c**4/7 + 15*c**3/7 + 4*c**2/7 - 20*c/7 = 0. What is c?
-1, 0, 2, 5
Suppose -2*y**2/7 + 26*y/7 + 96/7 = 0. Calculate y.
-3, 16
Factor 5*a**3 - 85*a**2 + 330*a - 360.
5*(a - 12)*(a - 3)*(a - 2)
Let 4*f**5 - 6452*f**4 + 2604988*f**3 - 2592092*f**2 - 2604992*f + 2598544 = 0. Calculate f.
-1, 1, 806
Suppose 3*g**4 - 195*g**3 + 3069*g**2 + 3267*g = 0. What is g?
-1, 0, 33
Factor 8*r**4/9 + 2*r**3/9.
2*r**3*(4*r + 1)/9
Factor -t**2 + 419*t.
-t*(t - 419)
Factor 2*b**4 - 6*b**2 + 4*b.
2*b*(b - 1)**2*(b + 2)
Factor -s**3/3 + 2899*s**2/6 - 524900*s/3 - 525625/6.
-(s - 725)**2*(2*s + 1)/6
Let 55*n**3 - 100*n**2 - 20*n = 0. Calculate n.
-2/11, 0, 2
Factor 3*a**2 + 48*a - 1260.
3*(a - 14)*(a + 30)
Solve -h**2/2 - 4*h - 15/2 = 0.
-5, -3
Solve 2*w**2/11 - 122*w/11 - 124/11 = 0 for w.
-1, 62
Let -7*k**3 + 3918*k**2 - 547680*k - 156800 = 0. Calculate k.
-2/7, 280
Solve -4*u**5/3 - 28*u**4/3 + 40*u**3/3 + 64*u**2/3 = 0 for u.
-8, -1, 0, 2
Factor -2*q**2/7 - 6*q/7 + 8/7.
-2*(q - 1)*(q + 4)/7
Suppose -5*t**5 - 615*t**4 + 3170*t**3 - 3860*t**2 - 2520*t + 5120 = 0. Calculate t.
-128, -1, 2
Determine r, given that -5*r**4 - 50*r**3 - 125*r**2 = 0.
-5, 0
Suppose -p**2 - 41*p + 42 = 0. Calculate p.
-42, 1
Suppose -3*q**2 - 723*q - 720 = 0. Calculate q.
-240, -1
Find v, given that -v**2/9 - 544*v/9 - 73984/9 = 0.
-272
Factor 2*v**3 - 14*v**2 - 98*v + 110.
2*(v - 11)*(v - 1)*(v + 5)
Factor -2*y**2/5 + 804*y/5 - 80802/5.
-2*(y - 201)**2/5
Determine k, given that -12*k**5 - 152*k**4 - 164*k**3 + 1992*k**2 - 2176*k + 512 = 0.
-8, 1/3, 1, 2
Factor -5*w**5 + 225*w**4 - 1045*w**3 + 1835*w**2 - 1410*w + 400.
-5*(w - 40)*(w - 2)*(w - 1)*