14/3 = 0. What is n?
-7/48, 1
Find o such that 5*o**5 - 35*o**4 - 85*o**3 - 45*o**2 = 0.
-1, 0, 9
Let 2*r**2/13 + 10288*r/13 + 13230368/13 = 0. What is r?
-2572
Factor 3*w**5/4 - 6*w**4 + 12*w**3 + 27*w**2/2 - 243*w/4 + 81/2.
3*(w - 3)**3*(w - 1)*(w + 2)/4
Factor -b**3/5 + 57*b**2/5 - 107*b/5 - 33.
-(b - 55)*(b - 3)*(b + 1)/5
What is k in 2*k**5/7 - 552*k**4/7 + 39714*k**3/7 - 225196*k**2/7 + 441720*k/7 - 291600/7 = 0?
2, 135
Factor -a**2/4 + 7*a/4 + 2.
-(a - 8)*(a + 1)/4
Suppose -6*b**2 - 76*b + 26 = 0. What is b?
-13, 1/3
Factor -2*n**3 - 108*n**2 - 750*n - 644.
-2*(n + 1)*(n + 7)*(n + 46)
Factor 2*p**4/9 - 622*p**3/3 - 1870*p**2/3 - 5614*p/9 - 208.
2*(p - 936)*(p + 1)**3/9
Factor 4*q**2 - 4*q.
4*q*(q - 1)
Find h, given that 3*h**3/5 - 1677*h**2/5 + 1002*h - 3336/5 = 0.
1, 2, 556
Factor -14*l**4 + 8*l**3 + 14*l**2 - 8*l.
-2*l*(l - 1)*(l + 1)*(7*l - 4)
Let -4*x**4 - 60*x**3 - 288*x**2 - 448*x = 0. Calculate x.
-7, -4, 0
Determine a, given that -20*a**5 + 484*a**4 - 908*a**3 + 444*a**2 = 0.
0, 1, 111/5
Factor 2*d**2/7 + 106*d/7 + 300/7.
2*(d + 3)*(d + 50)/7
Find z, given that 30*z**3 + 145*z**2 + 155*z - 30 = 0.
-3, -2, 1/6
Factor -2*q**5 + 32*q**4 + 70*q**3 + 36*q**2.
-2*q**2*(q - 18)*(q + 1)**2
Factor -540*n**3 + 26280*n**2 - 324075*n + 105125.
-5*(3*n - 1)*(6*n - 145)**2
Let 722*g**4/11 - 10640*g**3/11 + 54704*g**2/11 - 114240*g/11 + 83232/11 = 0. Calculate g.
2, 102/19
Determine s, given that 75*s**5 + 1290*s**4 - 11268*s**3 + 22776*s**2 - 13152*s + 2304 = 0.
-24, 2/5, 2, 4
Factor -g**3 - 336*g**2 + 2736*g - 5504.
-(g - 4)**2*(g + 344)
Factor 5*d**4 + 200*d**3 + 2000*d**2.
5*d**2*(d + 20)**2
Find t, given that -4*t**2 - 16*t - 16 = 0.
-2
Factor 28*g**3 - 484*g**2 + 136*g.
4*g*(g - 17)*(7*g - 2)
Factor t**4/2 + 9*t**3/2 + 15*t**2/2 + 7*t/2.
t*(t + 1)**2*(t + 7)/2
Factor -8*i**3/13 - 70*i**2/13 + 18*i/13.
-2*i*(i + 9)*(4*i - 1)/13
Factor 2*i**3 - 354*i**2 - 11088*i - 80360.
2*(i - 205)*(i + 14)**2
Let -3*v**5 + 6*v**4/5 + 9*v**3 - 48*v**2/5 + 12*v/5 = 0. Calculate v.
-2, 0, 2/5, 1
Factor d**2/4 - 41*d/2 - 1235/4.
(d - 95)*(d + 13)/4
Determine b, given that b**3/3 + 148*b**2/3 + 5621*b/3 + 10658/3 = 0.
-73, -2
Determine r, given that 5*r**4 - 65*r**3 - 75*r**2 + 65*r + 70 = 0.
-1, 1, 14
Factor -2*j**2/11 + 14*j/11 - 20/11.
-2*(j - 5)*(j - 2)/11
Factor -57*i**3 - 1830*i**2 + 1689*i + 198.
-3*(i - 1)*(i + 33)*(19*i + 2)
Let 4*h**3 + 360*h**2 + 356*h = 0. Calculate h.
-89, -1, 0
Determine h, given that 2*h**4/11 + 16*h**3/11 - 8*h**2/11 - 64*h/11 = 0.
-8, -2, 0, 2
Suppose 54*a**5 + 378*a**4 - 900*a**3 + 632*a**2 - 144*a = 0. What is a?
-9, 0, 2/3
Solve 3*j**3 - 8913*j**2 + 6624585*j - 6615675 = 0 for j.
1, 1485
Factor 2*m**4 - 308*m**3 + 610*m**2 - 304*m.
2*m*(m - 152)*(m - 1)**2
Factor -4*n**5/3 - 2088*n**4 - 1094080*n**3 - 581900800*n**2/3 - 1124864000*n.
-4*n*(n + 6)*(n + 520)**3/3
Suppose 6*f**2/13 - 226*f/13 + 148/13 = 0. Calculate f.
2/3, 37
Factor -4*p**3 - 176*p**2 - 640*p.
-4*p*(p + 4)*(p + 40)
Solve -6*s**3/11 - 1692*s**2/11 - 120960*s/11 - 235200/11 = 0.
-140, -2
Factor -4*u**5 - 28*u**4 + 68*u**3 - 36*u**2.
-4*u**2*(u - 1)**2*(u + 9)
Suppose s**4 + 198*s**3 - s**2 - 198*s = 0. Calculate s.
-198, -1, 0, 1
Determine b so that -2*b**2/5 - 2424*b/5 - 2422/5 = 0.
-1211, -1
Factor u**3 + 363*u**2 + 43923*u + 1771561.
(u + 121)**3
Solve 2*w**3/3 - 70*w**2/3 + 192*w + 216 = 0.
-1, 18
Factor -v**3/4 + 223*v**2/4 + 113*v/2 - 112.
-(v - 224)*(v - 1)*(v + 2)/4
Solve 2*m**3/11 - 94*m**2/11 + 32*m - 344/11 = 0 for m.
2, 43
Determine r, given that 2*r**2/13 + 552*r/13 + 38088/13 = 0.
-138
Factor -2*a**3/3 - 78*a**2 - 2242*a + 6962/3.
-2*(a - 1)*(a + 59)**2/3
Factor 2*a**2/9 + 5164*a/9 + 3333362/9.
2*(a + 1291)**2/9
Solve -27*r**5/5 + 207*r**4/5 - 21*r**3/5 - 471*r**2 + 480*r + 900 = 0.
-3, -1, 10/3, 5
Let -2*d**3 + 22*d**2 - 38*d + 18 = 0. Calculate d.
1, 9
Suppose -x**2/6 - 209*x/3 - 416/3 = 0. Calculate x.
-416, -2
Factor 3*m**4 + 444*m**3 + 14058*m**2 - 175380*m + 468075.
3*(m - 5)**2*(m + 79)**2
Factor -2*b**4 - 58*b**3 + 410*b**2 - 350*b.
-2*b*(b - 5)*(b - 1)*(b + 35)
Factor -y**3/4 - 77*y**2/2 + 155*y/4.
-y*(y - 1)*(y + 155)/4
Let 2*g**5/7 - 58*g**4/7 + 50*g**3/7 + 178*g**2/7 - 284*g/7 + 16 = 0. What is g?
-2, 1, 28
Let 4*d**2 - 20*d - 24 = 0. Calculate d.
-1, 6
Factor z**3/9 - 4*z**2/9 - 5*z/9.
z*(z - 5)*(z + 1)/9
Suppose -m**4 + 15*m**3 - 22*m**2 - 60*m + 104 = 0. Calculate m.
-2, 2, 13
Let 3*u**5 - 318*u**4 - 693*u**3 + 4872*u**2 - 1236*u - 6480 = 0. What is u?
-5, -1, 2, 108
Solve 5*r**2 + 6460*r + 2086580 = 0 for r.
-646
Determine h, given that 4*h**3 + 44*h**2 - 536*h - 576 = 0.
-18, -1, 8
Factor r**2/2 - 353*r + 124609/2.
(r - 353)**2/2
Factor -x**4/2 + 169*x**3.
-x**3*(x - 338)/2
Factor 4*i**3 - 8708*i**2 + 4734972*i + 4743684.
4*(i - 1089)**2*(i + 1)
Solve -225*w**4/4 - 195*w**3/4 + 479*w**2/4 - 61*w/4 + 1/2 = 0 for w.
-2, 1/15, 1
Suppose -h**3/4 - 3*h**2/4 + 9*h/4 + 27/4 = 0. Calculate h.
-3, 3
Factor 2*c**4 - 46*c**3 + 396*c**2 - 1512*c + 2160.
2*(c - 6)**3*(c - 5)
Factor o**5/3 - 7*o**4/3 + 5*o**3 - 13*o**2/3 + 4*o/3.
o*(o - 4)*(o - 1)**3/3
Find r, given that -5*r**4 - 75*r**3 - 240*r**2 + 320*r = 0.
-8, 0, 1
Factor -2*q**3 - 1080*q**2 - 194400*q - 11664000.
-2*(q + 180)**3
Factor w**4/6 + 127*w**3/6 - w**2/2 - 383*w/6 - 127/3.
(w - 2)*(w + 1)**2*(w + 127)/6
Factor d**5/6 - d**4/6 - d**3/3 + d**2/3 + d/6 - 1/6.
(d - 1)**3*(d + 1)**2/6
Factor 2*b**2/5 + 38*b/5 + 68/5.
2*(b + 2)*(b + 17)/5
Factor 2*g**2/13 - 84*g/13 - 270/13.
2*(g - 45)*(g + 3)/13
Factor -a**5/3 + a**3/3.
-a**3*(a - 1)*(a + 1)/3
Solve 19*c**3 - 115*c**2/3 + 59*c/3 - 1/3 = 0 for c.
1/57, 1
Find r such that 5*r**3 - 170*r**2 - 2995*r - 2820 = 0.
-12, -1, 47
Find q such that -10*q**2 + 95*q + 50 = 0.
-1/2, 10
Factor 3*k**2/5 + 453*k/5 + 90.
3*(k + 1)*(k + 150)/5
Factor -2*b**3 - 54*b**2 - 486*b - 1458.
-2*(b + 9)**3
Suppose -2*d**2/15 + 6*d/5 = 0. Calculate d.
0, 9
Suppose -o**4 + 11*o**3 - 23*o**2 - 35*o = 0. What is o?
-1, 0, 5, 7
Factor -2*s**4/11 - 20*s**3 + 1150*s**2/11.
-2*s**2*(s - 5)*(s + 115)/11
Find v, given that 2*v**2/13 - 70*v/13 + 192/13 = 0.
3, 32
What is s in 3*s**2/4 + 51*s/2 + 819/4 = 0?
-21, -13
Factor 2*o**3/5 + 9*o**2/2 - 37*o/10 - 6/5.
(o - 1)*(o + 12)*(4*o + 1)/10
Determine k so that -12*k**3 - 28*k**2 - 16*k = 0.
-4/3, -1, 0
Factor 2*b**3 + 4*b**2 - 18*b - 36.
2*(b - 3)*(b + 2)*(b + 3)
Factor f**5/5 - f**4/5 - f**3/5 + f**2/5.
f**2*(f - 1)**2*(f + 1)/5
Factor 315*w**3 - 2050*w**2 + 980*w - 120.
5*(w - 6)*(7*w - 2)*(9*w - 2)
Let -c**2/4 + 255*c/2 - 65025/4 = 0. What is c?
255
Let -27*c**2/4 + 249*c/4 - 27/2 = 0. What is c?
2/9, 9
Factor 2*g**3/3 - 778*g**2 + 302642*g - 117727738/3.
2*(g - 389)**3/3
Suppose 2*r**5 - 64*r**4 + 720*r**3 - 3200*r**2 + 4000*r = 0. Calculate r.
0, 2, 10
Find u such that 2*u**5/3 - 14*u**4/3 + 12*u**3 - 40*u**2/3 + 16*u/3 = 0.
0, 1, 2
Factor -6*v**2 + 5450*v/3 + 404.
-2*(v - 303)*(9*v + 2)/3
Find j, given that 2*j**4/7 - 2*j**3/7 - 4*j**2/7 = 0.
-1, 0, 2
Factor 5*b**4 + 10573*b**3 + 7451145*b**2 + 1749030975*b - 700805250.
(b + 705)**3*(5*b - 2)
Factor -5*j**3/2 + 15*j**2/2 + 270*j - 550.
-5*(j - 11)*(j - 2)*(j + 10)/2
Factor -n**5 + 9*n**4 + 12*n**3 - 20*n**2.
-n**2*(n - 10)*(n - 1)*(n + 2)
Factor -y**3 - 61*y**2 - 1015*y - 2523.
-(y + 3)*(y + 29)**2
Factor -2*b**3 + 54*b**2 - 352*b + 504.
-2*(b - 18)*(b - 7)*(b - 2)
Factor -z**4 - 3*z**3 + 67*z**2 - 213*z + 198.
-(z - 3)**2*(z - 2)*(z + 11)
Suppose -2*l**4/11 + 326*l**3/11 + 1326*l**2/11 + 1666*l/11 + 668/11 = 0. What is l?
-2, -1, 167
Determine k, given that 2*k**3 - 6*k**2 + 6*k - 2 = 0.
1
Suppose -2*s**2/5 - 1722*s/5 = 0. Calculate s.
-861, 0
Factor 5*a**3 - 285*a**2 + 5415*a - 34295.
5*(a - 19)**3
Factor 3*m**3 + 2928*m**2 + 714432*m.
3*m*(m + 488)**2
Find j such that -j**4/5 + 26*j**3/5 + 56*j**2/5 = 0.
-2, 0, 28
Factor -4*z**2 + 32*z.
-4*z*(z - 8)
Factor -4*u**2 - 51120*u - 163328400.
-4*(u + 6390)**2
Find v such that -28*v**3 + 159*v**2 - 230*v + 48 = 0.
1/4, 2, 24/7
Determine x so that -2*x**3/3 - 62*x**2/3 + 4522*x/3 - 16606 = 0.
-69, 19
Find c, given that -c**5/7 + 10*c**4/7 - 23*c**3/7 - 10*c**2/7 + 24*c/7 = 0.
-1, 0, 1, 4, 6
Determine d so that -33*d**4 + 468*d**3 + 576*d**2 - 19920*d + 3600 = 0.
-6, 2/11, 10
Solve -3*q**3 + 669*q**2 - 1986*q + 1320 =