*r**4/2 + 8133*r**3 + 259285*r**2 + 5969925*r/2 + 22244625/2 = 0. What is r?
-65, -9
Suppose -q**4/2 + 4*q**3 - 10*q**2 + 8*q = 0. Calculate q.
0, 2, 4
Let -l**5/2 + 5*l**4/2 - l**3/2 - 21*l**2/2 + 9*l = 0. What is l?
-2, 0, 1, 3
Factor -2*b**2 - 24*b - 64.
-2*(b + 4)*(b + 8)
Suppose 4*z**2 - 3440*z + 739600 = 0. Calculate z.
430
Factor -4*y**2 - 512*y - 16384.
-4*(y + 64)**2
Factor -4*h**4 - 4*h**3 + 8*h**2.
-4*h**2*(h - 1)*(h + 2)
Factor -2*i**2/5 - 17772*i/5 - 39480498/5.
-2*(i + 4443)**2/5
Factor 2*j**4/5 + 226*j**3/5 + 1584*j**2 + 12160*j - 179200.
2*(j - 7)*(j + 40)**3/5
Solve -2*p**4/15 - 16*p**3/15 - 8*p**2/3 - 32*p/15 = 0.
-4, -2, 0
What is y in 44*y**4 + 1058*y**3/3 - 1154*y**2/3 + 152*y/3 + 24 = 0?
-9, -2/11, 1/2, 2/3
Factor -l**3/4 + 3*l**2/2 + 24*l - 160.
-(l - 8)**2*(l + 10)/4
Suppose -2*d**3 + 16*d**2 + 18*d = 0. What is d?
-1, 0, 9
Suppose 5*v**4 + 5*v**3 - 30*v**2 - 20*v + 40 = 0. What is v?
-2, 1, 2
Factor n**3/6 - 4*n**2/3 - 3*n/2.
n*(n - 9)*(n + 1)/6
Factor 3*t**2 - 228*t + 225.
3*(t - 75)*(t - 1)
Suppose 2*g**3/7 - 166*g**2/7 + 3120*g/7 - 16992/7 = 0. What is g?
12, 59
Factor -2*z**3 + 11746*z**2 - 17251936*z + 17240192.
-2*(z - 2936)**2*(z - 1)
Factor 3*z**2 + 147*z - 4410.
3*(z - 21)*(z + 70)
Find n such that -4*n**2 - 180*n - 176 = 0.
-44, -1
Find w, given that -w**3/4 + 18*w**2 - 141*w/4 + 35/2 = 0.
1, 70
Factor -4*a**4/7 + 48*a**3/7 - 92*a**2/7 - 144*a/7.
-4*a*(a - 9)*(a - 4)*(a + 1)/7
Determine h, given that -6*h**4 + 1110*h**3/11 - 2700*h**2/11 + 120*h + 336/11 = 0.
-2/11, 1, 2, 14
Determine s, given that -s**2/4 + 537*s/2 + 538 = 0.
-2, 1076
Factor -3*p**3 + 210*p**2 - 804*p + 792.
-3*(p - 66)*(p - 2)**2
Factor -2*u**4 - 2*u**3 + 8*u**2 + 8*u.
-2*u*(u - 2)*(u + 1)*(u + 2)
Determine s, given that -3*s**3/2 - 13*s**2 - 45*s/2 + 9 = 0.
-6, -3, 1/3
Factor -2*k**2 + 120*k - 448.
-2*(k - 56)*(k - 4)
Factor -2*v**2 + 4*v + 6.
-2*(v - 3)*(v + 1)
Determine j so that -3*j**2 + 276*j - 273 = 0.
1, 91
Suppose 2*o**5/3 - 2*o**4 - 28*o**3/3 + 8*o**2 + 80*o/3 = 0. What is o?
-2, 0, 2, 5
Find g such that g**2/2 + 6272*g + 19668992 = 0.
-6272
Factor -5*i**2 - 4110*i.
-5*i*(i + 822)
Suppose -u**5/3 + 8*u**4/3 - 22*u**3/3 + 8*u**2 - 3*u = 0. Calculate u.
0, 1, 3
Find x, given that 4*x**2/5 + 72*x/5 + 308/5 = 0.
-11, -7
Find x such that 2*x**4 + 18*x**3 + 12*x**2 - 32*x = 0.
-8, -2, 0, 1
Determine r, given that 4*r**2 + 2428*r - 4872 = 0.
-609, 2
Factor -3*p**2 + 180*p - 2700.
-3*(p - 30)**2
Find z, given that 110*z**2/13 - 6*z/13 - 36/13 = 0.
-6/11, 3/5
Factor -2*d**4/9 + 3202*d**3/9 - 189748*d**2 + 33648408*d + 33838512.
-2*(d - 534)**3*(d + 1)/9
What is j in 2*j**4/17 - 16*j**3/17 - 4*j**2 + 16*j/17 + 66/17 = 0?
-3, -1, 1, 11
Determine w so that 4*w**3/3 + 960*w**2 + 230400*w + 18432000 = 0.
-240
Suppose -2*x**2/9 + 398*x/9 - 44 = 0. What is x?
1, 198
Factor -65*a**2/4 + 365*a/2 + 150.
-5*(a - 12)*(13*a + 10)/4
Find h such that -3*h**2 - 15*h + 42 = 0.
-7, 2
Factor -2*v**4/7 + 2*v**3 - 32*v**2/7 + 24*v/7.
-2*v*(v - 3)*(v - 2)**2/7
Factor -2*k**5/3 - 4*k**4/3 + 2*k**3 + 8*k**2/3 - 8*k/3.
-2*k*(k - 1)**2*(k + 2)**2/3
Factor 39*z**3/7 + 186*z**2/7 - 279*z/7 + 54/7.
3*(z - 1)*(z + 6)*(13*z - 3)/7
Factor 2*y**4/9 + 8*y**3/3 - 170*y**2/9.
2*y**2*(y - 5)*(y + 17)/9
What is s in 2*s**2/11 + 416*s/11 = 0?
-208, 0
Let -w**2 + 896*w - 200704 = 0. Calculate w.
448
Factor -4*b**2/9 - 53128*b/9 - 176411524/9.
-4*(b + 6641)**2/9
Determine a, given that -3*a**3 - 27*a**2 + 390*a + 864 = 0.
-16, -2, 9
Factor 2*j**3/13 - 32*j**2/13 + 82*j/13 + 308/13.
2*(j - 11)*(j - 7)*(j + 2)/13
Solve -5*j**4/3 - 10*j**3 - 20*j**2 - 40*j/3 = 0 for j.
-2, 0
Let 2*u**4 + 134*u**3/5 + 292*u**2/5 - 984*u/5 - 432/5 = 0. Calculate u.
-9, -6, -2/5, 2
Factor 4*r**3/9 - 76*r**2/9 + 136*r/9.
4*r*(r - 17)*(r - 2)/9
Let -15*u**4 + 62*u**3 - 73*u**2 + 18*u = 0. What is u?
0, 1/3, 9/5, 2
Determine u, given that -u**3 + 37*u**2 - 71*u + 35 = 0.
1, 35
What is d in 18*d**5 - 453*d**4 + 3099*d**3 - 3096*d**2 + 432*d = 0?
0, 1/6, 1, 12
Factor -h**3/3 - h**2/3 + 10*h/3 - 8/3.
-(h - 2)*(h - 1)*(h + 4)/3
Find t, given that -3*t**3/5 - 7*t**2/5 - 2*t/5 = 0.
-2, -1/3, 0
Suppose -2*u**3 + 106*u**2 - 400*u + 392 = 0. What is u?
2, 49
Factor -3*v**4 - 81*v**3 - 222*v**2 - 144*v.
-3*v*(v + 1)*(v + 2)*(v + 24)
Factor -3*v**4 + 53*v**3 + 77*v**2 - 17*v - 38.
-(v - 19)*(v + 1)**2*(3*v - 2)
Let 324*p**4 - 768384*p**3 + 455395552*p**2 + 202511872*p + 22505536 = 0. What is p?
-2/9, 1186
Suppose -4*r**3 + 12*r + 8 = 0. Calculate r.
-1, 2
Factor u**4/3 + 10*u**3 - 524*u**2/3 + 518*u + 2107/3.
(u - 7)**2*(u + 1)*(u + 43)/3
Suppose 4*w**4 - 8*w**3 - 12*w**2 = 0. What is w?
-1, 0, 3
Let -2*n**5/7 - 16*n**4/7 - 44*n**3/7 - 8*n**2 - 34*n/7 - 8/7 = 0. Calculate n.
-4, -1
Factor -5*r**2/6 - 4*r/3 - 1/2.
-(r + 1)*(5*r + 3)/6
Solve -3*i**4 - 621*i**3 + 1881*i**2 - 1887*i + 630 = 0.
-210, 1
Determine o so that -9*o**4 - 30*o**3 + 315*o**2 + 1080*o + 324 = 0.
-6, -3, -1/3, 6
Factor 2*b**3 + 540*b**2 - 2*b - 540.
2*(b - 1)*(b + 1)*(b + 270)
Suppose -b**2 - 18*b - 45 = 0. Calculate b.
-15, -3
What is v in 2*v**5/9 + 4*v**4/9 - 2*v**3/9 - 4*v**2/9 = 0?
-2, -1, 0, 1
Suppose -5*x**4/3 + 64*x**3/3 - 97*x**2/3 - 22*x/3 = 0. What is x?
-1/5, 0, 2, 11
Suppose 3*u**2 - 1470*u + 5832 = 0. Calculate u.
4, 486
Factor -p**2/3 - 4420*p/3 - 4884100/3.
-(p + 2210)**2/3
Suppose -5*n**2/3 + 12290*n/3 - 7552205/3 = 0. What is n?
1229
Factor -l**2 - 452*l - 51076.
-(l + 226)**2
Factor n**4 + n**3 - 3*n**2 - n + 2.
(n - 1)**2*(n + 1)*(n + 2)
Determine c, given that c**2/2 + 73*c + 5329/2 = 0.
-73
Find h such that -h**3/3 + 41*h**2/3 - 40*h/3 = 0.
0, 1, 40
Factor -9*a**4/2 + 8*a**3 + 2*a**2.
-a**2*(a - 2)*(9*a + 2)/2
Determine o, given that 2*o**4 - 17*o**3/2 + 10*o**2 - 2*o = 0.
0, 1/4, 2
What is t in t**3 - 108*t - 432 = 0?
-6, 12
Let -6*i**5/5 - i**4 - i**3/5 = 0. Calculate i.
-1/2, -1/3, 0
Factor -45*j**3 + 76*j**2 + 27*j + 2.
-(j - 2)*(5*j + 1)*(9*j + 1)
Factor 18*l**4/7 - 24*l**3 + 488*l**2/7 - 64*l + 128/7.
2*(l - 4)**2*(3*l - 2)**2/7
Solve o**5 + 38*o**4/5 + 64*o**3/5 - 32*o**2/5 = 0 for o.
-4, 0, 2/5
Factor -d**2/3 + d/3 + 56/3.
-(d - 8)*(d + 7)/3
Factor 245*m**4 - 1120*m**3 + 580*m**2 - 80*m.
5*m*(m - 4)*(7*m - 2)**2
Factor -l**4/8 + 263*l**3/8 - 22695*l**2/8 + 609917*l/8 + 704969/2.
-(l - 89)**3*(l + 4)/8
Determine v, given that 18*v**4 + 90*v**3 - 230*v**2 + 150*v - 28 = 0.
-7, 1/3, 2/3, 1
Solve n**4/3 + 14*n**3 + 152*n**2/3 - 398*n + 333 = 0.
-37, -9, 1, 3
Find k, given that -14*k**2 + 144*k - 40 = 0.
2/7, 10
Factor -i**5/5 + 3*i**4 - 15*i**3 + 25*i**2.
-i**2*(i - 5)**3/5
Factor -2*a**4/3 - 10*a**3/3 - 2*a**2 + 6*a.
-2*a*(a - 1)*(a + 3)**2/3
Determine z so that -4*z**4 - 48*z**3 + 108*z**2 - 56*z = 0.
-14, 0, 1
Suppose x**4/6 + 389*x**3/6 + 12545*x**2/2 - 12675*x/2 = 0. What is x?
-195, 0, 1
Factor 2*y**2/13 - 28*y/13 - 30/13.
2*(y - 15)*(y + 1)/13
Find k such that k**2/2 - 9*k - 19/2 = 0.
-1, 19
Determine k so that -7*k**5/6 + 2*k**4 + 2*k**3/3 - 7*k**2/3 + k/2 + 1/3 = 0.
-1, -2/7, 1
Factor -2*j**3/9 + 28*j**2/9 - 2*j/9 - 104/3.
-2*(j - 13)*(j - 4)*(j + 3)/9
Factor 3*c**4 - 57*c**3 + 351*c**2 - 891*c + 810.
3*(c - 10)*(c - 3)**3
Suppose -4*h**3/7 + 52*h**2/7 - 7*h + 12/7 = 0. Calculate h.
1/2, 12
Factor -v**3/7 - 12*v**2/7 + 4*v.
-v*(v - 2)*(v + 14)/7
Find c such that -2*c**4/5 - 3*c**3 + 9*c**2/5 + 8*c/5 = 0.
-8, -1/2, 0, 1
Factor 5*q**3 + 120*q**2 + 325*q + 210.
5*(q + 1)*(q + 2)*(q + 21)
Factor d**3/3 + 7*d**2/3 - 12.
(d - 2)*(d + 3)*(d + 6)/3
Find k, given that 5*k**2 - 5475*k + 10930 = 0.
2, 1093
Factor 2*d**4/13 + 84*d**3/13 + 794*d**2/13 - 1848*d/13 + 968/13.
2*(d - 1)**2*(d + 22)**2/13
Factor -4*h**3/3 - 14892*h**2 - 55442916*h - 68804658756.
-4*(h + 3723)**3/3
Suppose 7*n**3/4 - 31*n**2 + 47*n + 16 = 0. What is n?
-2/7, 2, 16
Factor 9*s**2 + 165*s/2 + 27/2.
3*(s + 9)*(6*s + 1)/2
Find d, given that 13*d**3 + 75*d**2/2 - 9*d/2 = 0.
-3, 0, 3/26
Suppose -p**2 - 5812*p - 8444836 = 0. Calculate p.
-2906
Suppose 4*s**2/3 - 280*s/3 + 1372 = 0. Calculate s.
21, 49
Suppose 2*v**2 - 368*v - 1504 = 0. Calculate v.
-4, 188
Find u such that 2*u**5 + 38*u**4/3 + 26*u**3 + 22*u**2 + 20*u/3 = 0.
-10/3, -1, 0
Let 4*i**3/9 - 10*i**2 + 44*i/9 = 0. What is i?
0, 1/2, 22
Solve v**5/3 + 5*v**4/2 + 14*v**3/3 - 3*v**2 - 9*v + 9/2