0, 1
Suppose 7*p**4/2 + 30*p**3 + 39*p**2 - 110*p + 75/2 = 0. What is p?
-5, 3/7, 1
Factor 5*t**3 + 35*t**2/3 + 25*t/3 + 5/3.
5*(t + 1)**2*(3*t + 1)/3
What is s in 4*s**5 - 68*s**4/3 + 124*s**3/3 - 92*s**2/3 + 8*s = 0?
0, 2/3, 1, 3
Factor -4*b**4 + 76*b**3 - 52*b**2 - 348*b - 216.
-4*(b - 18)*(b - 3)*(b + 1)**2
What is c in -c**4/5 - 6*c**3 - 228*c**2/5 - 74*c - 171/5 = 0?
-19, -9, -1
Determine s, given that 3*s**2/4 - 9*s/2 - 30 = 0.
-4, 10
Determine k, given that -7*k**3 + 79*k**2 - 22*k = 0.
0, 2/7, 11
Suppose 5*a**5 - 15*a**4 + 10*a**3 + 10*a**2 - 15*a + 5 = 0. Calculate a.
-1, 1
Factor -f**4/7 + 4*f**3/7 - 4*f**2/7.
-f**2*(f - 2)**2/7
What is y in y**5/2 + 3*y**4/2 + y**3 = 0?
-2, -1, 0
Factor -5*y**3 - 660*y**2 - 5040*y - 9920.
-5*(y + 4)**2*(y + 124)
Solve 20*b**3 - 52*b**2 + 44*b - 12 = 0.
3/5, 1
Find n, given that -2*n**4/5 - 6*n**3 - 26*n**2/5 + 6*n + 28/5 = 0.
-14, -1, 1
Solve 5*y**3 + 15*y**2 - 50*y = 0.
-5, 0, 2
Find c such that 4*c**2 - 72*c + 260 = 0.
5, 13
Suppose 2*w**3/11 - 6*w**2/11 - 2*w/11 + 6/11 = 0. Calculate w.
-1, 1, 3
What is d in 3*d**5/2 + 87*d**4 + 1071*d**3/2 = 0?
-51, -7, 0
Determine c, given that -2*c**3/3 - 178*c**2/3 - 4048*c/3 - 3872/3 = 0.
-44, -1
Factor -4*z**3 - 576*z**2.
-4*z**2*(z + 144)
Factor -3*r**4/2 + 9*r**2/2 - 3*r.
-3*r*(r - 1)**2*(r + 2)/2
Determine o, given that -7*o**5/5 + 86*o**4/5 - 234*o**3/5 + 256*o**2/5 - 119*o/5 + 18/5 = 0.
2/7, 1, 9
Factor 2*x**2/13 - 34*x/13 - 76/13.
2*(x - 19)*(x + 2)/13
Factor -2*c**2/13 + 472*c/13 - 27848/13.
-2*(c - 118)**2/13
Factor -28*t**3 + 36*t**2 + 64*t.
-4*t*(t + 1)*(7*t - 16)
Factor -j**3/3 + 14*j**2 - 41*j/3.
-j*(j - 41)*(j - 1)/3
Suppose 2*b**5/9 - 4*b**4/3 - 14*b**3/9 = 0. What is b?
-1, 0, 7
Factor 2*s**3 - 254*s**2 + 1228*s - 976.
2*(s - 122)*(s - 4)*(s - 1)
Let -g**5 + 80*g**4/3 - 556*g**3/3 + 86*g**2 + 559*g/3 - 338/3 = 0. Calculate g.
-1, 2/3, 1, 13
Determine a, given that -4*a**3/9 + 92*a**2/9 = 0.
0, 23
Find d, given that -4*d**2 - 368*d - 364 = 0.
-91, -1
Factor -22*v**3/9 - 50*v**2/3 + 28*v/9.
-2*v*(v + 7)*(11*v - 2)/9
Let -25*o**5 - 240*o**4 - 510*o**3 - 400*o**2 - 105*o = 0. What is o?
-7, -1, -3/5, 0
Determine m, given that -33*m**4/5 + 4347*m**3/5 - 27621*m**2 - 334263*m/5 - 80802/5 = 0.
-2, -3/11, 67
Factor -z**2 + 5*z - 4.
-(z - 4)*(z - 1)
Factor 3*i**2 + 885*i + 2628.
3*(i + 3)*(i + 292)
Factor 10*t**3 - 589*t**2/7 - 174*t/7.
t*(7*t + 2)*(10*t - 87)/7
Factor 4*w**3 + 40*w**2 - 44*w.
4*w*(w - 1)*(w + 11)
Factor -162*v**3/13 - 28278*v**2/13 + 12592*v/13 - 1400/13.
-2*(v + 175)*(9*v - 2)**2/13
Solve -2*f**2/5 - 2*f - 12/5 = 0.
-3, -2
Find r such that -2*r**5 + 36*r**3 + 64*r**2 + 30*r = 0.
-3, -1, 0, 5
Factor -2*z**2 + 52*z - 138.
-2*(z - 23)*(z - 3)
Factor 4*z**2 + 11078*z + 5538.
2*(z + 2769)*(2*z + 1)
Factor -g**2 + 109*g + 1062.
-(g - 118)*(g + 9)
Find c such that 3*c**3 - 51*c**2 + 222*c - 264 = 0.
2, 4, 11
Solve 2*p**4/7 + 1328*p**3/7 + 294372*p**2/7 + 3125824*p + 21587722/7 = 0.
-221, -1
Factor 4*c**3 + 220*c**2 + 2912*c - 3136.
4*(c - 1)*(c + 28)**2
Determine x, given that -5*x**2 + 1210*x - 73205 = 0.
121
Factor -66*b**3 + 525*b**2/2 - 258*b - 6.
-3*(b - 2)**2*(44*b + 1)/2
Factor -2*f**3 + 318*f**2 + 1632*f + 1312.
-2*(f - 164)*(f + 1)*(f + 4)
Factor 3*h**5 + 5457*h**4 + 3305118*h**3 + 664319010*h**2 - 1338575217*h + 670945629.
3*(h - 1)**2*(h + 607)**3
Suppose 2*g**5 - 12*g**4 - 32*g**3 + 212*g**2 + 30*g - 200 = 0. Calculate g.
-4, -1, 1, 5
Let -38*r**2/3 + 358*r/3 - 320/3 = 0. Calculate r.
1, 160/19
Factor g**3/7 + 5*g**2 + 34*g/7.
g*(g + 1)*(g + 34)/7
Factor 2*z**3/3 - 56*z**2 + 166*z/3.
2*z*(z - 83)*(z - 1)/3
Determine b so that -55*b**5 + 90*b**4 + 400*b**3 + 110*b**2 - 345*b - 200 = 0.
-1, 1, 40/11
Solve 3*q**5 + 6*q**4 - 3*q**3 - 6*q**2 = 0.
-2, -1, 0, 1
Factor 5*n**2 - 290*n + 4205.
5*(n - 29)**2
Factor -2*j**3/13 - 412*j**2/13 - 21218*j/13.
-2*j*(j + 103)**2/13
Find c, given that 2*c**5 - 4*c**4 - 8*c**3 + 16*c**2 = 0.
-2, 0, 2
Factor 2*i**4 - 148*i**3 - 6*i**2 + 440*i + 296.
2*(i - 74)*(i - 2)*(i + 1)**2
Solve 2*t**5/7 - 74*t**4/7 + 380*t**3/7 - 236*t**2/7 - 382*t/7 + 310/7 = 0 for t.
-1, 1, 5, 31
Solve -98*z**2/15 - 56*z/3 - 40/3 = 0.
-10/7
Solve 3*l**2/7 - 15534*l/7 + 20108763/7 = 0 for l.
2589
Find i, given that -214369*i**2 + 1852*i - 4 = 0.
2/463
Suppose 3*p**4 + 36*p**3 - 507*p**2 - 540*p = 0. What is p?
-20, -1, 0, 9
Solve -29*w**2/4 + 73*w - 5 = 0.
2/29, 10
Factor -14*j**4 - 11*j**3 + 17*j**2 + 11*j - 3.
-(j - 1)*(j + 1)**2*(14*j - 3)
Factor 4*c**2 + 5744*c + 2062096.
4*(c + 718)**2
Factor 3*h**2 - 225*h - 462.
3*(h - 77)*(h + 2)
Factor 16*x**2 + 574*x/3 - 8.
2*(x + 12)*(24*x - 1)/3
Factor 5*y**3 - 25*y**2 + 30*y.
5*y*(y - 3)*(y - 2)
Solve -6*x**3 - 45*x**2 + 78*x - 27 = 0 for x.
-9, 1/2, 1
Factor -3*t**2 + 723*t - 1434.
-3*(t - 239)*(t - 2)
Factor -n**4 + 4*n**3 + 426*n**2 - 4316*n + 3887.
-(n - 13)**2*(n - 1)*(n + 23)
Factor c**4 - 2*c**3 - 8*c**2.
c**2*(c - 4)*(c + 2)
Factor c**4/2 + 15*c**3/2 + 18*c**2 - 2*c - 24.
(c - 1)*(c + 2)**2*(c + 12)/2
Factor 4*q**4 + 84*q**3 + 288*q**2 - 1728*q.
4*q*(q - 3)*(q + 12)**2
Factor 5*f**5 - 75*f**4 - 170*f**3 - 10*f**2 + 165*f + 85.
5*(f - 17)*(f - 1)*(f + 1)**3
Factor 33*j**2/7 + 15*j/7 - 48/7.
3*(j - 1)*(11*j + 16)/7
Find c, given that 2*c**2/23 + 338*c/23 - 340/23 = 0.
-170, 1
Factor -g**4/5 + 5*g**3 + 2033*g**2/5 + 22743*g/5.
-g*(g - 63)*(g + 19)**2/5
Suppose 12*z**3 - 207*z**2 + 411*z - 90 = 0. Calculate z.
1/4, 2, 15
Find s such that 2*s**3 - 402*s**2 - 408*s + 808 = 0.
-2, 1, 202
Factor 3*t**4/4 + 15*t**3/4 - 9*t**2/4 - 135*t/4 - 81/2.
3*(t - 3)*(t + 2)*(t + 3)**2/4
Suppose -2*k**5 + 36*k**4 - 86*k**3 - 84*k**2 + 376*k - 240 = 0. What is k?
-2, 1, 2, 15
Factor 2*o**3/5 - 42*o**2/5 + 112*o/5 - 72/5.
2*(o - 18)*(o - 2)*(o - 1)/5
Factor 5*z**5 - 20*z**4 + 80*z**2 - 80*z.
5*z*(z - 2)**3*(z + 2)
Factor 3*n**2 - 45*n - 378.
3*(n - 21)*(n + 6)
Find k such that -2*k**5/9 + 4*k**4/3 + 2*k**3/3 - 40*k**2/9 + 8*k/3 = 0.
-2, 0, 1, 6
Solve 12*l**2/5 + 18764*l/5 - 6256/5 = 0 for l.
-1564, 1/3
Factor -3*c**4 - 18*c**3 - 39*c**2 - 36*c - 12.
-3*(c + 1)**2*(c + 2)**2
Factor -5*t**4 - 20*t**3 - 25*t**2 - 10*t.
-5*t*(t + 1)**2*(t + 2)
Suppose 4*q**3/5 + 524*q**2/5 + 2044*q/5 + 1524/5 = 0. Calculate q.
-127, -3, -1
Solve -3*b**3/2 + 2331*b**2/2 = 0.
0, 777
Suppose -5*c**2 + 40*c = 0. What is c?
0, 8
Solve -t**5 + 11*t**4 - 24*t**3 - 4*t**2 + 32*t = 0.
-1, 0, 2, 8
Factor o**4/4 + 5*o**3 + 59*o**2/2 + 45*o + 81/4.
(o + 1)**2*(o + 9)**2/4
Let 11*v**4 - 24*v**3 - 7*v**2 + 24*v - 4 = 0. Calculate v.
-1, 2/11, 1, 2
Factor -2*a**2/19 - 74*a/19 - 72/19.
-2*(a + 1)*(a + 36)/19
Factor f**5 - 23*f**4 - 8*f**3 + 184*f**2 + 16*f - 368.
(f - 23)*(f - 2)**2*(f + 2)**2
Determine i, given that -3*i**5/4 + 15*i**4/4 + 9*i**3/2 = 0.
-1, 0, 6
Factor -3*a**2/8 - 45*a/4 + 51.
-3*(a - 4)*(a + 34)/8
Let 2*f**3 + 14*f**2 - 48*f - 360 = 0. What is f?
-6, 5
Find l, given that -3*l**5 + 33*l**4 + 129*l**3 - 33*l**2 - 126*l = 0.
-3, -1, 0, 1, 14
Factor 2*j**3 + 8*j**2 + 6*j.
2*j*(j + 1)*(j + 3)
Determine h, given that 18*h**4 - 420*h**3 + 914*h**2 - 680*h + 168 = 0.
2/3, 1, 21
Find o, given that 5*o**2 - 105*o + 520 = 0.
8, 13
Find b such that -4*b**2 - 36*b + 144 = 0.
-12, 3
Determine h, given that 32*h**3/3 - 2192*h**2/3 + 1090*h/3 - 136/3 = 0.
1/4, 68
Determine r, given that 3*r**4/4 - 91*r**3/2 + 639*r**2/4 - 172*r + 57 = 0.
2/3, 1, 2, 57
Factor 18*x**3/13 + 68*x**2/13 + 56*x/13 - 16/13.
2*(x + 2)**2*(9*x - 2)/13
Let -c**3/5 - 48*c**2/5 - 209*c/5 + 258/5 = 0. What is c?
-43, -6, 1
Factor j**2 + 400*j + 399.
(j + 1)*(j + 399)
Factor -5*k**4 - 235*k**3 - 2875*k**2 - 2645*k.
-5*k*(k + 1)*(k + 23)**2
Solve 2*f**4/13 + 46*f**3/13 + 186*f**2/13 - 70*f + 52 = 0.
-13, 1, 2
Let 2*u**2 - 464*u + 462 = 0. Calculate u.
1, 231
Let 9*h**2 + 4890*h + 1629 = 0. Calculate h.
-543, -1/3
Solve 2*v**3/3 + 1022*v**2/3 = 0 for v.
-511, 0
Factor -f**2/3 - 806*f/3.
-f*(f + 806)/3
Factor x**5 + 5*x**4 - 36*x**3 + 16*x**2 + 128*x - 144.
(x - 2)**3*(x + 2)*(x + 9)
Factor 5*m**5 - 5*m**4 - 70*m**3 + 140*m**2 + 40*m - 160.
5*(m - 2)**3*(m + 1)*(m + 4)
Suppose -2*g**3 - 4*g**2 + 2*g + 4 = 0. What is g?
-2, -1, 1
Factor -2*m**3/9 + 2086*m**2/9 - 544966*m/9 + 542882/9.
-2*(m - 521)**2*(m - 1)/9
Factor -4*h**5 - 36*h**4 + 772*h**3 - 2060*h*