, 3
Find i, given that -20*i**3 + 52*i**2 - 24*i = 0.
0, 3/5, 2
Factor 3*l**3/8 + 237*l**2/4 - 1503*l/2 + 2295.
3*(l - 6)**2*(l + 170)/8
Factor n**3/5 + 61*n**2/5 + 58*n/5 - 24.
(n - 1)*(n + 2)*(n + 60)/5
Factor -4*g**4 + 80*g**3 - 396*g**2 - 80*g + 400.
-4*(g - 10)**2*(g - 1)*(g + 1)
What is o in -4*o**3 - 12*o**2 + 180*o - 324 = 0?
-9, 3
Factor -5*g**5 + 290*g**4.
-5*g**4*(g - 58)
What is l in 4*l**2/5 + 4072*l/5 + 8128/5 = 0?
-1016, -2
Let -s**5/5 - 8*s**4/5 - 21*s**3/5 - 22*s**2/5 - 8*s/5 = 0. What is s?
-4, -2, -1, 0
Factor -x**5/7 + 2*x**4/7.
-x**4*(x - 2)/7
Find q, given that 2*q**4/3 - 4*q**3/3 - 2*q**2/3 + 4*q/3 = 0.
-1, 0, 1, 2
Determine i so that 2*i**3 - 140*i**2 + 786*i - 1152 = 0.
3, 64
Factor 5*l**3/2 + 1005*l**2/2 + 67335*l/2 + 1503815/2.
5*(l + 67)**3/2
Suppose -3*o**3/4 - o**2 + 5*o/4 + 1/2 = 0. What is o?
-2, -1/3, 1
Solve -3*v**4/4 - 9*v**3/4 - 3*v**2/4 + 9*v/4 + 3/2 = 0 for v.
-2, -1, 1
Factor j**2/7 - 8*j/7 - 48/7.
(j - 12)*(j + 4)/7
Suppose h**2/9 + 868*h/9 + 188356/9 = 0. What is h?
-434
What is d in -4*d**5 + 272*d**4 - 4888*d**3 + 8976*d**2 - 4356*d = 0?
0, 1, 33
Determine d so that -5*d**4 - 150*d**3 - 960*d**2 + 2560*d = 0.
-16, 0, 2
Solve r**3/3 - 13*r**2/3 - 649*r/3 - 4235/3 = 0.
-11, 35
Factor -2*z**2/3 - 17*z/6 + 7/2.
-(z - 1)*(4*z + 21)/6
Find o such that -2*o**3 - 386*o**2 - 18430*o + 18818 = 0.
-97, 1
Determine g so that 4*g**4 - 12*g**3 + 8*g**2 = 0.
0, 1, 2
Factor -2*b**3 - 136*b**2 + 138*b.
-2*b*(b - 1)*(b + 69)
Let -t**3/6 + 16*t**2/3 = 0. What is t?
0, 32
Factor -88*o**2 + 90*o - 2.
-2*(o - 1)*(44*o - 1)
Find p such that -2*p**4/13 - 348*p**3/13 - 16466*p**2/13 - 115536*p/13 - 220448/13 = 0.
-83, -4
Factor 2*c**3 - 54*c**2 + 352*c - 504.
2*(c - 18)*(c - 7)*(c - 2)
Factor 2*x**3 + 10*x**2 - 16*x - 24.
2*(x - 2)*(x + 1)*(x + 6)
Determine q, given that 2*q**3 + 218*q**2 + 6254*q + 16854 = 0.
-53, -3
Factor z**2/8 + 11*z/4 - 6.
(z - 2)*(z + 24)/8
Factor 3*m**5/5 - 1131*m**4/5 + 1128*m**3/5.
3*m**3*(m - 376)*(m - 1)/5
Factor -2*q**5/5 - 36*q**4/5 - 144*q**3/5.
-2*q**3*(q + 6)*(q + 12)/5
Determine y, given that -3*y**3 - 210*y**2 - 3675*y = 0.
-35, 0
Solve p**3/8 + p**2 - 99*p/8 + 45/4 = 0.
-15, 1, 6
Solve z**4/3 + 14*z**3/3 + 16*z**2 - 14*z/3 - 49/3 = 0 for z.
-7, -1, 1
What is y in -2*y**3/7 - 52*y**2/7 - 40*y + 112 = 0?
-14, 2
Find g such that -32*g**5/3 - 656*g**4/3 + 602*g**3 - 778*g**2/3 + 92*g/3 = 0.
-23, 0, 1/4, 2
Factor -5*q**3 - 30*q**2 - 45*q - 20.
-5*(q + 1)**2*(q + 4)
Factor 2*h**3/5 - 222*h**2/5 + 1476*h/5 - 416.
2*(h - 104)*(h - 5)*(h - 2)/5
Factor 5*v**4 + 15*v**3 - 100*v**2 - 240*v + 320.
5*(v - 4)*(v - 1)*(v + 4)**2
What is x in -5*x**3 - 10*x**2 - 5*x = 0?
-1, 0
Factor h**5/9 - 16*h**3/9 - 38*h**2/9 - 11*h/3 - 10/9.
(h - 5)*(h + 1)**3*(h + 2)/9
Suppose -2*y**5/3 - 38*y**4/3 - 64*y**3/3 + 1064*y**2/3 - 704*y + 384 = 0. Calculate y.
-12, 1, 2
Factor 2*a**4/7 - 2*a**3 + 2*a**2/7 + 54*a/7 + 36/7.
2*(a - 6)*(a - 3)*(a + 1)**2/7
Find g such that g**3 - 21*g**2 - 214*g + 504 = 0.
-9, 2, 28
Let -q**2/9 - 148*q/9 - 5476/9 = 0. What is q?
-74
Factor -2*l**3 - 10*l**2 - 14*l - 6.
-2*(l + 1)**2*(l + 3)
Find k such that 3*k**3 + 1146*k**2 = 0.
-382, 0
Factor -n**2/2 - 12*n - 22.
-(n + 2)*(n + 22)/2
Solve 2*n**3 - 146*n**2 + 692*n - 816 = 0.
2, 3, 68
Factor 2*u**2 + 120*u + 118.
2*(u + 1)*(u + 59)
Determine m, given that -m**5/2 - m**4 + m**2 + m/2 = 0.
-1, 0, 1
Let 2*s**3/7 - 20*s**2/7 - 22*s/7 = 0. Calculate s.
-1, 0, 11
Determine d so that 378*d**3 + 1086*d**2 - 152*d - 24 = 0.
-3, -2/21, 2/9
Solve 3*h**3 - 162*h**2 + 2916*h - 17496 = 0.
18
Suppose 2*c**2/7 + 316*c/7 - 318/7 = 0. Calculate c.
-159, 1
Solve -v**5 + 10*v**4 - 36*v**3 + 54*v**2 - 27*v = 0 for v.
0, 1, 3
Suppose -q**3/4 + q**2/2 + 7*q/4 + 1 = 0. Calculate q.
-1, 4
Let -10*u**5 + 12*u**4 + 28*u**3 - 16*u**2 - 18*u + 4 = 0. What is u?
-1, 1/5, 1, 2
Determine g so that 3*g**3/2 - 18*g**2 - 135*g/2 = 0.
-3, 0, 15
Let 2*g**2/11 - 28*g/11 = 0. Calculate g.
0, 14
Solve 5*p**2 - 2155*p - 6510 = 0.
-3, 434
Factor -g**4/4 - 19*g**3/4 - 25*g**2/2 - 8*g.
-g*(g + 1)*(g + 2)*(g + 16)/4
Suppose 4*z**5 - 20*z**3 + 16*z = 0. Calculate z.
-2, -1, 0, 1, 2
Factor 2*b**3/5 - 134*b**2 - 2704*b/5 - 2712/5.
2*(b - 339)*(b + 2)**2/5
Solve 36*j**3 + 232*j**2 - 412*j/3 + 56/3 = 0.
-7, 2/9, 1/3
Solve 3*n**4 - 24*n**3 + 48*n**2 = 0.
0, 4
Let -3*x**4/4 + 3*x**3/4 + 3*x**2 - 3*x = 0. What is x?
-2, 0, 1, 2
Suppose p**2/2 - 9*p/2 = 0. Calculate p.
0, 9
Factor 3*w**2/5 - 15018*w/5 + 18795027/5.
3*(w - 2503)**2/5
Factor -s**4/3 + 4*s**3 - 14*s**2 + 52*s/3 - 7.
-(s - 7)*(s - 3)*(s - 1)**2/3
Suppose 40*u**5/7 + 716*u**4/7 - 900*u**3/7 - 176*u**2 - 304*u/7 = 0. What is u?
-19, -1/2, -2/5, 0, 2
Factor 3*d**3/5 - 411*d**2/5 + 2856*d - 13872/5.
3*(d - 68)**2*(d - 1)/5
Factor -q**2/4 + 411*q/4 - 205/2.
-(q - 410)*(q - 1)/4
Determine k, given that -k**2/11 - 806*k/11 - 162409/11 = 0.
-403
Find l such that -10*l**4/11 + 804*l**3/11 - 3390*l**2/11 + 3508*l/11 - 912/11 = 0.
2/5, 1, 3, 76
What is i in 2*i**4/7 - 12*i**3/7 + 22*i**2/7 - 12*i/7 = 0?
0, 1, 2, 3
Find c such that -4*c**2/11 + 4682*c/11 - 2340/11 = 0.
1/2, 1170
Find b such that -5*b**3 - 140*b**2 - 1225*b - 3250 = 0.
-13, -10, -5
Factor -p**3/2 + 21*p**2/2 - 9*p - 20.
-(p - 20)*(p - 2)*(p + 1)/2
Suppose -4*q**2/13 - 178*q/13 - 174/13 = 0. Calculate q.
-87/2, -1
Find v such that -3*v**3 - 300*v**2 + 11904*v - 101376 = 0.
-132, 16
Solve -f**3 + 397*f**2 - 39203*f - 39601 = 0 for f.
-1, 199
Solve 3*m**5/7 + 3*m**4/7 - 9*m**3/7 - 3*m**2/7 + 6*m/7 = 0 for m.
-2, -1, 0, 1
Factor -3*j**2 + 360*j.
-3*j*(j - 120)
Factor 15*p**4 - 1325*p**3 + 7820*p**2 - 2460*p.
5*p*(p - 82)*(p - 6)*(3*p - 1)
Factor -8*u**2 - 66*u - 58.
-2*(u + 1)*(4*u + 29)
Determine s so that -s**5/6 - 4*s**4/3 + 22*s**3/3 - 8*s**2 = 0.
-12, 0, 2
Find u such that -u**3/2 - 21*u**2/2 - 135*u/2 - 243/2 = 0.
-9, -3
What is x in -x**2 + 114*x - 3249 = 0?
57
Solve -3*w**2/5 - 858*w/5 - 61347/5 = 0.
-143
Solve z**5 - 3*z**4 - 25*z**3 - 25*z**2 + 24*z + 28 = 0.
-2, -1, 1, 7
Factor 6*s**2 - 1298*s - 868.
2*(s - 217)*(3*s + 2)
Solve 2*y**2/3 - 50*y/3 - 52/3 = 0.
-1, 26
Let y**5/3 - 14*y**4/3 = 0. Calculate y.
0, 14
Factor -5*u**3 - 355*u**2 - 1995*u - 2925.
-5*(u + 3)**2*(u + 65)
Find q such that 4*q**5/5 - 128*q**4/5 + 1408*q**3/5 - 6144*q**2/5 + 9216*q/5 = 0.
0, 4, 12
Let -p**2/6 + 625*p - 1171875/2 = 0. What is p?
1875
Solve -b**3/9 - 7*b**2/3 - 20*b/9 = 0 for b.
-20, -1, 0
Factor 6*i**4 - 56*i**3/3 + 20*i**2 - 8*i + 2/3.
2*(i - 1)**3*(9*i - 1)/3
Determine n, given that 5*n**5 + 95*n**4 - 600*n**3 = 0.
-24, 0, 5
Suppose -k**2/3 - 22*k + 592/3 = 0. What is k?
-74, 8
Factor -3*m**5/8 - 45*m**4/8 - 39*m**3/4.
-3*m**3*(m + 2)*(m + 13)/8
Let -302760*w**2 + 1740*w - 5/2 = 0. What is w?
1/348
Factor 4*z**4 + 1232*z**3 + 89808*z**2 - 778624*z + 1597696.
4*(z - 4)**2*(z + 158)**2
Suppose -2*t**2 + 492*t/5 + 80 = 0. What is t?
-4/5, 50
Solve -l**2/2 + 1274*l = 0.
0, 2548
Let -x**3 + 59*x**2 - 170*x + 112 = 0. What is x?
1, 2, 56
Solve 5*k**2 - 1340*k - 2700 = 0 for k.
-2, 270
Let -p**5/3 + p**4/6 + 13*p**3/3 - 37*p**2/6 + 2*p = 0. Calculate p.
-4, 0, 1/2, 1, 3
Find h, given that -4*h**3 + 112*h**2 - 400*h + 384 = 0.
2, 24
Find q such that -4*q**3/5 + 12*q**2/5 + 4*q/5 - 12/5 = 0.
-1, 1, 3
Factor i**2 - 5*i - 84.
(i - 12)*(i + 7)
Suppose -15*i**3 - 1449*i**2 + 2052*i - 588 = 0. Calculate i.
-98, 2/5, 1
Find b such that -b**3/9 - 706*b**2/9 - 14001*b - 54756 = 0.
-351, -4
Let -v**4 - 3*v**3 + 35*v**2 + 75*v - 250 = 0. What is v?
-5, 2, 5
Factor -2*o**4/7 - 4*o**3/7 - 2*o**2/7.
-2*o**2*(o + 1)**2/7
Determine i, given that -i**2/9 + 167*i/9 + 176 = 0.
-9, 176
Solve -2*l**4/7 - 272*l**3/7 = 0 for l.
-136, 0
Find r, given that 18*r**4/7 + 68*r**3/7 - 46*r**2 - 1012*r/7 + 240/7 = 0.
-5, -3, 2/9, 4
Factor -89*x**3/4 + 46*x**2 - 101*x/4 + 3/2.
-(x - 1)**2*(89*x - 6)/4
Find c, given that 3*c**4 + 23*c**3 + 35*c**2 - 31*c - 30 = 0.
-5, -3, -2/3, 1
Find s, given that -s**3/2 - 9*s**2 + 162*s - 540 = 0.
-30, 6
Find y such that 3*y**4 - 15*y**3 - 24*y**2 + 36*y = 0.
-2, 0, 1, 6
Determine d so that -5*d**2/2 - 5*d/2 + 75 = 0.
-6, 5
Find i, given that -4*i**4 + 52*i**3 - 40*i**2 - 96*i = 0.
-1, 0, 2, 12
Factor -o**4/5 - 32*o**3/5 - 12*o**2.
-o**2*(o + 2)*(o + 30)/5
Factor 6*j**3 + 35*j**2 + 