= 0. Calculate r.
-1, 0, 2, 5
Factor 5*n**3 - 215*n**2 + 720*n + 2340.
5*(n - 39)*(n - 6)*(n + 2)
Factor 3*b**2 + 1248*b + 129792.
3*(b + 208)**2
Factor -2*x**2 + 122*x + 124.
-2*(x - 62)*(x + 1)
Solve 4*l**3/9 - 136*l**2/9 - 4*l/9 + 136/9 = 0.
-1, 1, 34
Factor j**5/2 - 335*j**4/2 + 24355*j**3/2 + 613375*j**2/2 + 2267720*j + 5433806.
(j - 178)**2*(j + 7)**3/2
Let 2*n**4 + 18*n**3 = 0. Calculate n.
-9, 0
Factor q**3 + 57*q**2 + 56*q.
q*(q + 1)*(q + 56)
Factor b**2/4 - b - 3.
(b - 6)*(b + 2)/4
Determine s, given that -10*s**4 + 224*s**3 + 378*s**2 + 144*s = 0.
-1, -3/5, 0, 24
Factor 3*x**2 + 54*x + 96.
3*(x + 2)*(x + 16)
Factor 21*m**2 - 246*m - 72.
3*(m - 12)*(7*m + 2)
Let -4*z**3 - 88*z**2 + 292*z - 200 = 0. What is z?
-25, 1, 2
Let -k**4 + 17*k**3 + k**2 - 17*k = 0. What is k?
-1, 0, 1, 17
Solve 2*z**2/9 - 52*z/9 - 6 = 0 for z.
-1, 27
Determine u so that 80*u**5 - 1000*u**4 + 1205*u**3 + 1340*u**2 - 835*u + 110 = 0.
-1, 1/4, 2, 11
Solve -2*d**5/3 + 422*d**4/3 + 2*d**3/3 - 422*d**2/3 = 0.
-1, 0, 1, 211
Factor 2*f**2/7 - 52*f/7 + 176/7.
2*(f - 22)*(f - 4)/7
Factor 3*c**3/4 + 201*c**2/4 + 816*c - 867.
3*(c - 1)*(c + 34)**2/4
Determine g, given that -2*g**2 + 568*g - 40328 = 0.
142
Let j**2 - 136*j + 4624 = 0. What is j?
68
Find o, given that -2*o**4 + 804*o**3 - 800*o**2 - 804*o + 802 = 0.
-1, 1, 401
Suppose 5*h**2/3 + 365*h/3 + 1700/3 = 0. What is h?
-68, -5
Factor 4*i**3 + 52*i**2 - 336*i + 432.
4*(i - 3)*(i - 2)*(i + 18)
Factor -2*n**4/15 - 28*n**3/15 + 64*n**2/3 - 704*n/15.
-2*n*(n - 4)**2*(n + 22)/15
Suppose -4*k**4/3 + 32480*k**3/3 - 65934400*k**2/3 = 0. Calculate k.
0, 4060
Factor -2*d**4/3 - 59*d**3/3 - 29*d**2/3.
-d**2*(d + 29)*(2*d + 1)/3
Factor 76*z**3 - 690*z**2 - 706*z + 60.
2*(z - 10)*(z + 1)*(38*z - 3)
Solve v**3/4 - 289*v**2 - 2315*v/4 - 579/2 = 0.
-1, 1158
Factor -3*k**4 + 477*k**3 - 20115*k**2 + 91707*k - 106722.
-3*(k - 77)**2*(k - 3)*(k - 2)
Factor -5*y**2 + 375*y + 380.
-5*(y - 76)*(y + 1)
Solve 2*w**2/7 + 30*w/7 - 32/7 = 0 for w.
-16, 1
Factor -4*k**2 + 64*k - 192.
-4*(k - 12)*(k - 4)
Determine a, given that -5*a**4 - 30*a**3 + 40*a**2 + 30*a - 35 = 0.
-7, -1, 1
Factor 2*z**3/5 - 42*z**2/5 - 8*z/5 + 168/5.
2*(z - 21)*(z - 2)*(z + 2)/5
Factor -5*d**2 + 95*d + 330.
-5*(d - 22)*(d + 3)
Factor -5*j**4 - 175*j**3 + 190*j**2 + 360*j.
-5*j*(j - 2)*(j + 1)*(j + 36)
Suppose 3*s**3 - 36*s**2 - 147*s + 180 = 0. Calculate s.
-4, 1, 15
Factor -2*a**2 + 148*a.
-2*a*(a - 74)
Solve -3*i**3/7 + 96*i**2 - 36951*i/7 - 76614/7 = 0 for i.
-2, 113
Let -14*j**3/3 + 146*j**2 - 124*j/3 = 0. Calculate j.
0, 2/7, 31
Suppose 5*i**4 + 15*i**3 - 75*i**2 + 85*i - 30 = 0. What is i?
-6, 1
Factor 2*o**3/15 - 2*o**2/15 - 32*o/15 + 32/15.
2*(o - 4)*(o - 1)*(o + 4)/15
Find h such that -2*h**3/3 - 28*h**2 - 170*h - 700/3 = 0.
-35, -5, -2
Find t, given that t**5/9 - 2*t**4/9 - t**3/9 + 2*t**2/9 = 0.
-1, 0, 1, 2
Factor n**5 + 5*n**4.
n**4*(n + 5)
Let -r**4/3 - 9*r**3 - 88*r**2/3 + 156*r - 352/3 = 0. Calculate r.
-22, -8, 1, 2
What is m in 78*m**4 - 238*m**3 - 66*m**2 + 238*m - 12 = 0?
-1, 2/39, 1, 3
Factor -3*m**4 + 3*m**3 + 18*m**2.
-3*m**2*(m - 3)*(m + 2)
Factor 2*c**5 - 20*c**4 + 74*c**3 - 120*c**2 + 72*c.
2*c*(c - 3)**2*(c - 2)**2
Determine k so that -16*k**3 + 3540*k**2 + 6252*k - 1784 = 0.
-2, 1/4, 223
Factor 4*o**4/3 + 152*o**3/3 + 272*o**2 + 1568*o/3 + 1024/3.
4*(o + 2)**3*(o + 32)/3
Factor 2*h**2/3 + 40*h - 248/3.
2*(h - 2)*(h + 62)/3
Find h, given that 2*h**3/3 + 588*h**2 + 172872*h + 16941456 = 0.
-294
Factor -4*n**4 - 776*n**3 - 37620*n**2 + 3104*n + 150544.
-4*(n - 2)*(n + 2)*(n + 97)**2
Factor -4*d**3 + 105*d**2 + 1062*d - 272.
-(d - 34)*(d + 8)*(4*d - 1)
Factor 2*h**5/7 - 104*h**4/7 + 1580*h**3/7 - 10600*h**2/7 + 4750*h - 40000/7.
2*(h - 32)*(h - 5)**4/7
Factor 2*x**2/13 + 90*x/13 + 648/13.
2*(x + 9)*(x + 36)/13
Determine z so that -z**2/9 - 1328*z/9 - 440896/9 = 0.
-664
Factor -y**5 + 117*y**4 - 4314*y**3 + 39770*y**2 + 368139*y + 620289.
-(y - 41)**3*(y + 3)**2
Factor s**3 + 153*s**2 - 310*s.
s*(s - 2)*(s + 155)
Let w**3/4 - 9*w**2 - w/4 + 9 = 0. What is w?
-1, 1, 36
Suppose 2*t**4 - 170*t**3 - 172*t**2 = 0. Calculate t.
-1, 0, 86
Determine d so that -4*d**3 - 1064*d**2 + 2140*d - 1072 = 0.
-268, 1
What is d in 5*d**3 + 340*d**2 - 5*d - 340 = 0?
-68, -1, 1
Find c such that -c**2/3 + 8*c/3 - 16/3 = 0.
4
Suppose 2*p**3/11 - 216*p/11 + 864/11 = 0. What is p?
-12, 6
Determine d, given that -8427*d**5/5 - 76479*d**4/5 - 132141*d**3/5 + 201027*d**2/5 + 3144*d + 60 = 0.
-5, -2/53, 1
Factor -3*g**5/5 - 504*g**4/5 - 21666*g**3/5 - 41832*g**2/5 - 20667*g/5.
-3*g*(g + 1)**2*(g + 83)**2/5
Factor -2*n**2 - 88*n - 246.
-2*(n + 3)*(n + 41)
Determine k so that 44*k**3 + 52*k**2 + 8*k = 0.
-1, -2/11, 0
Let h**3/6 + 11*h**2/6 - 13*h/3 = 0. Calculate h.
-13, 0, 2
Factor g**4/9 - g**3/9 - 2*g**2/9.
g**2*(g - 2)*(g + 1)/9
Factor 2*b**3 - 82*b**2 + 68*b + 480.
2*(b - 40)*(b - 3)*(b + 2)
Factor -5*p**3 - 3215*p**2 - 3210*p.
-5*p*(p + 1)*(p + 642)
Solve -2*j**3/5 + 214*j**2/5 - 6992*j/5 + 12696 = 0.
15, 46
Determine n, given that 15*n**5 - 865*n**4 + 14870*n**3 - 37170*n**2 - 654885*n - 601965 = 0.
-13/3, -1, 21
Suppose 4*k**2 + 36*k - 208 = 0. Calculate k.
-13, 4
Find i, given that 4*i**2/9 - 100/9 = 0.
-5, 5
Determine n, given that -4*n**5 - 60*n**4 = 0.
-15, 0
Suppose -a**2/3 + 41*a/3 - 148/3 = 0. Calculate a.
4, 37
Let -1587*w**5 - 2898*w**4 + 540*w**3 - 24*w**2 = 0. Calculate w.
-2, 0, 2/23
Factor 4*f**3 + 1320*f**2 - 2652*f + 1328.
4*(f - 1)**2*(f + 332)
Find n, given that -4*n**4 + 44*n**3 - 116*n**2 - 44*n + 120 = 0.
-1, 1, 5, 6
Factor -428*w**2 + 172*w + 600.
-4*(w + 1)*(107*w - 150)
Determine i so that -3*i**2/4 - 81*i/2 + 1281/4 = 0.
-61, 7
Solve -f**4/9 - 38*f**3/9 - 8*f**2 = 0.
-36, -2, 0
Find b such that -9*b**2 - 1821*b - 368449/4 = 0.
-607/6
Suppose -5*d**4/6 + 95*d**3/6 + 160*d**2/3 + 110*d/3 = 0. Calculate d.
-2, -1, 0, 22
Factor -16*x**2/5 - 14*x/5 + 2/5.
-2*(x + 1)*(8*x - 1)/5
Let 2*l**2 - 314*l + 1520 = 0. Calculate l.
5, 152
Suppose 4*h**2 - 1940*h - 1944 = 0. What is h?
-1, 486
Factor 9*m**5/7 - 6*m**4/7 - 3*m**3/7.
3*m**3*(m - 1)*(3*m + 1)/7
Factor 3*q**3 - 54*q**2 - 129*q + 180.
3*(q - 20)*(q - 1)*(q + 3)
Factor 20*y**3 + 144*y**2 + 148*y + 24.
4*(y + 1)*(y + 6)*(5*y + 1)
Find l, given that -2*l**2 - 36*l + 126 = 0.
-21, 3
Suppose 3*p**3/8 + 27*p**2/8 - 15*p/4 = 0. What is p?
-10, 0, 1
Factor 2*s**2/13 + 1308*s/13 - 1310/13.
2*(s - 1)*(s + 655)/13
Factor -u**4 - 5*u**3 - 3*u**2 + 5*u + 4.
-(u - 1)*(u + 1)**2*(u + 4)
Factor -2*a**3/5 - 66*a**2/5 + 224*a/5 + 288/5.
-2*(a - 4)*(a + 1)*(a + 36)/5
Factor -d**3/5 + d**2/5 + 26*d/5 + 24/5.
-(d - 6)*(d + 1)*(d + 4)/5
Factor d**4 - 154*d**3 + 6081*d**2 - 11704*d + 5776.
(d - 76)**2*(d - 1)**2
Determine y so that -2*y**4 + 30*y**3 + 902*y**2 - 30*y - 900 = 0.
-15, -1, 1, 30
Solve 2*v**5/5 - 8*v**4 - 2*v**3 + 40*v**2 + 8*v/5 - 32 = 0.
-2, -1, 1, 2, 20
Factor -i**4/11 + 2*i**3/11 + i**2/11 - 2*i/11.
-i*(i - 2)*(i - 1)*(i + 1)/11
Let 2*n**5/11 - 4*n**4/11 - 12*n**3/11 + 16*n**2/11 + 10*n/11 - 12/11 = 0. What is n?
-2, -1, 1, 3
Solve g**2 + 71*g + 880 = 0 for g.
-55, -16
Factor 4*j**4 + 5352*j**3 - 5356*j**2.
4*j**2*(j - 1)*(j + 1339)
Find r such that -20*r**4 + 45*r**3 + 5*r**2 - 30*r = 0.
-3/4, 0, 1, 2
Factor 2*r**4/13 + 264*r**3/13 + 9224*r**2/13 + 33792*r/13 + 32768/13.
2*(r + 2)**2*(r + 64)**2/13
Factor r**4/6 + 13*r**3/6 + 5*r**2 - 2*r/3 - 20/3.
(r - 1)*(r + 2)**2*(r + 10)/6
Determine g so that -93*g**3/2 + 231*g**2/8 + 129*g/8 + 3/2 = 0.
-1/4, -4/31, 1
Factor -10*x**2 + 572*x - 40898/5.
-2*(5*x - 143)**2/5
Let 2*k**3/7 - 230*k**2/7 + 1318*k/7 - 1090/7 = 0. Calculate k.
1, 5, 109
Determine j, given that 3*j**2 + 492*j + 20172 = 0.
-82
Determine k so that -3*k**2/2 - 78*k + 1647/2 = 0.
-61, 9
Factor -2*v**3/7 - 3834*v**2/7 - 2449926*v/7 - 521834238/7.
-2*(v + 639)**3/7
Factor 3*r**4 + 162*r**3 + 1524*r**2 + 4590*r + 3225.
3*(r + 1)*(r + 5)**2*(r + 43)
Factor 5*x**2 - 700*x + 695.
5*(x - 139)*(x - 1)
Suppose -3*d**4/5 - 519*d**3/5 - 3042*d**2/5 - 6036*d/5 - 4008/5 = 0. What is d?
-167, -2
Factor -5*y**3 - 155*y**2 - 800*y + 960.
-5*(y - 1)*(y + 8)*(y + 24)
Determine g, given that 2*g**2/7 + 58*g/7 + 360/7 = 0.
-20, -9
What is x in -2*x**3/7 - 132*x**2/7 + 698*x/7 - 852/7 = 0?
-71, 2, 3
Let -110*d**5