, 0, 11
Factor -4*n**2/7 - 24*n/7 - 20/7.
-4*(n + 1)*(n + 5)/7
Determine u, given that -27*u**5 + 549*u**4 - 2433*u**3 - 1809*u**2 - 312*u = 0.
-1/3, 0, 8, 13
Determine b, given that -b**5/2 + 7*b**4/2 - 11*b**3/2 + 5*b**2/2 = 0.
0, 1, 5
Factor 3*v**2 - 132*v + 1260.
3*(v - 30)*(v - 14)
Solve -3*p**3 - 9*p**2 - 9*p - 3 = 0.
-1
Factor v**3/4 + 111*v**2/2 + 4107*v + 101306.
(v + 74)**3/4
Factor 3*r**4/7 + 6*r**3 + 180*r**2/7 + 312*r/7 + 192/7.
3*(r + 2)**3*(r + 8)/7
Suppose -5*t**4 - 50*t**3 - 140*t**2 - 120*t = 0. What is t?
-6, -2, 0
Determine y so that 4*y**4/7 + 48*y**3/7 + 76*y**2/7 - 48*y/7 - 80/7 = 0.
-10, -2, -1, 1
Factor -2*o**4 - 8*o**3 + 42*o**2 + 200*o + 200.
-2*(o - 5)*(o + 2)**2*(o + 5)
Factor -4*p**4/3 + 100*p**3/3 - 184*p**2/3.
-4*p**2*(p - 23)*(p - 2)/3
Find d, given that -60*d**2 + 68*d - 8 = 0.
2/15, 1
Determine m so that 2*m**4 - 28*m**3 + 130*m**2 - 248*m + 168 = 0.
2, 3, 7
Factor 81*y**3 + 1989*y**2 + 1086*y + 144.
3*(y + 24)*(3*y + 1)*(9*y + 2)
Determine b so that -2*b**3 - 406*b**2 - 17222*b + 356430 = 0.
-109, 15
Solve 15*d**2 + 147*d + 108 = 0.
-9, -4/5
Suppose 2*d**3/11 - 34*d**2/11 - 20*d = 0. Calculate d.
-5, 0, 22
Suppose 4*s**2/7 + 68*s/7 + 264/7 = 0. What is s?
-11, -6
Factor y**2 + 199*y + 394.
(y + 2)*(y + 197)
Find x such that -3*x**4/5 - 39*x**3/5 - 153*x**2/5 - 21*x + 60 = 0.
-5, -4, 1
Factor -3*s**2/7 + 15*s/7 - 12/7.
-3*(s - 4)*(s - 1)/7
Factor -2*g**2/7 + 22*g/7 - 48/7.
-2*(g - 8)*(g - 3)/7
Suppose 3*k**5 + 14*k**4 - 115*k**3 + 26*k**2 + 72*k = 0. Calculate k.
-9, -2/3, 0, 1, 4
Suppose -k**5/4 + 4*k**4 - 53*k**3/4 + 31*k**2/2 - 6*k = 0. Calculate k.
0, 1, 2, 12
Find v such that 4*v**3 + 60*v**2 - 13572*v + 245572 = 0.
-73, 29
Let 5*r**2 - 305*r - 960 = 0. Calculate r.
-3, 64
Factor -d**4/7 - 29*d**3/7 - 127*d**2/7 - 171*d/7 - 72/7.
-(d + 1)**2*(d + 3)*(d + 24)/7
Factor -s**3/7 - 2*s**2/7 + 12*s + 360/7.
-(s - 10)*(s + 6)**2/7
Factor 75*r**5 + 4785*r**4 + 3792*r**3 + 756*r**2.
3*r**2*(r + 63)*(5*r + 2)**2
What is n in 6*n**4/19 + 16*n**3/19 + 2*n**2/19 - 16*n/19 - 8/19 = 0?
-2, -1, -2/3, 1
Solve -3*v**3 + 87*v**2 + 183*v + 93 = 0 for v.
-1, 31
Factor 9*l**3/2 - 42*l**2 - 609*l/2 - 258.
3*(l + 1)*(l + 4)*(3*l - 43)/2
Factor -3*v**3 - 3*v**2 + 348*v + 1440.
-3*(v - 12)*(v + 5)*(v + 8)
Factor 507*p**4 - 2522*p**3 + 9409*p**2/3.
p**2*(39*p - 97)**2/3
Determine z so that -10*z**4/11 + 6*z**3/11 + 4*z**2 - 24*z/11 - 16/11 = 0.
-2, -2/5, 1, 2
Factor -b**2/2 + 213*b/4 + 107/4.
-(b - 107)*(2*b + 1)/4
Find p, given that p**2 + 449*p/4 + 28 = 0.
-112, -1/4
Factor -2*n**3/13 + 30*n**2/13 - 76*n/13 + 48/13.
-2*(n - 12)*(n - 2)*(n - 1)/13
Suppose -i**2/2 + 2*i + 21/2 = 0. What is i?
-3, 7
Suppose 4*q**4 - 220*q**3 + 420*q**2 + 220*q - 424 = 0. Calculate q.
-1, 1, 2, 53
Solve -2*z**2/7 + 20*z/7 - 48/7 = 0 for z.
4, 6
Factor 2*q**4/11 + 10*q**3/11 - 2*q**2/11 - 10*q/11.
2*q*(q - 1)*(q + 1)*(q + 5)/11
Factor 30*l**3 - 398*l**2 + 216*l + 152.
2*(l - 1)*(3*l - 38)*(5*l + 2)
Find x such that -2*x**4 - 28*x**3 + 8*x**2 + 112*x = 0.
-14, -2, 0, 2
Solve j**3 + 4*j**2 - 4*j - 16 = 0 for j.
-4, -2, 2
Factor 2*l**4/15 - 38*l**2/15 + 4*l.
2*l*(l - 3)*(l - 2)*(l + 5)/15
Solve 2*t**4 - 44*t**3 - 376*t**2 - 852*t - 522 = 0.
-3, -1, 29
Find j, given that 115*j**3 - 235*j**2 + 10*j = 0.
0, 1/23, 2
Determine u so that u**3/4 + 35*u**2/4 + 207*u/4 - 243/4 = 0.
-27, -9, 1
Factor -y**3/3 - 14*y**2/3 - 13*y/3.
-y*(y + 1)*(y + 13)/3
Factor n**2 - 5*n + 4.
(n - 4)*(n - 1)
Factor 3*s**2/4 + 687*s/4 - 345/2.
3*(s - 1)*(s + 230)/4
Factor -3*u**3 - 15*u**2 - 6*u + 24.
-3*(u - 1)*(u + 2)*(u + 4)
Factor -c**2/5 + 30*c - 1125.
-(c - 75)**2/5
Factor -c**3/5 - 3*c**2 - 72*c/5 - 108/5.
-(c + 3)*(c + 6)**2/5
Find l such that -l**5 - 2*l**4 + l**3 + 2*l**2 = 0.
-2, -1, 0, 1
Solve -4*j**5/7 + 1656*j**4/7 + 10028*j**3/7 + 21792*j**2/7 + 20144*j/7 + 960 = 0 for j.
-2, -1, 420
Solve -3*g**4 + 48*g**3 = 0.
0, 16
Solve -3*z**2/5 - 12*z/5 + 756/5 = 0.
-18, 14
What is v in 2*v**5/7 - 2*v**4/7 - 24*v**3/7 = 0?
-3, 0, 4
Factor -4*v**5 + 64*v**4 - 256*v**3.
-4*v**3*(v - 8)**2
Determine x so that -x**2 + 9*x - 14 = 0.
2, 7
Factor -q**4 - 73*q**3 + q**2 + 73*q.
-q*(q - 1)*(q + 1)*(q + 73)
Determine c, given that -c**3/3 - 19*c**2/3 - 86*c/3 - 104/3 = 0.
-13, -4, -2
Solve -2*z**3/3 + 48*z**2 - 952*z + 9248/3 = 0.
4, 34
Factor -28*n**3/5 - 1756*n**2/5 + 504*n/5.
-4*n*(n + 63)*(7*n - 2)/5
Solve 3*g**5/5 + 36*g**4/5 - 60*g**3 - 3666*g**2/5 + 297*g/5 + 726 = 0.
-11, -1, 1, 10
Solve f**2/2 + 55*f - 111/2 = 0 for f.
-111, 1
Factor 2*d**4/7 + 4*d**3/7 - 6*d**2/7.
2*d**2*(d - 1)*(d + 3)/7
Factor 3*r**2/7 - 4422*r/7 + 1629507/7.
3*(r - 737)**2/7
Factor -2*u**2/13 + 16*u/13 + 18/13.
-2*(u - 9)*(u + 1)/13
Factor 3*b**3/4 + 45*b**2/4 - 57*b.
3*b*(b - 4)*(b + 19)/4
Find s such that 16*s**4 + 20*s**3 - 88*s**2 - 80*s + 96 = 0.
-2, 3/4, 2
Let 3*p**2 - 1926*p + 3840 = 0. Calculate p.
2, 640
Factor -14*j**2 + 16*j - 2.
-2*(j - 1)*(7*j - 1)
Find o such that o**4 - 84*o**3 + 82*o**2 + 84*o - 83 = 0.
-1, 1, 83
Factor 16*h**3 - 198*h**2 + 72*h.
2*h*(h - 12)*(8*h - 3)
Factor -11*y**3/4 + 53*y**2/4 - 17*y/2 - 2.
-(y - 4)*(y - 1)*(11*y + 2)/4
Factor -9*p**3 + 195*p**2 - 126*p.
-3*p*(p - 21)*(3*p - 2)
Find u such that -5*u**3 - 14580*u**2 - 14171760*u - 4591650240 = 0.
-972
Suppose 2*g**2/13 + 1900*g/13 + 451250/13 = 0. Calculate g.
-475
Suppose -2*l**2 - 2*l + 60 = 0. What is l?
-6, 5
Factor 5*h**3 + 135*h**2 - 5*h - 135.
5*(h - 1)*(h + 1)*(h + 27)
What is f in -39*f**5/2 + 435*f**4/2 - 852*f**3 + 1452*f**2 - 984*f + 120 = 0?
2/13, 2, 5
Factor -3*w**2 - 21*w + 180.
-3*(w - 5)*(w + 12)
Determine o, given that o**2/8 - 2*o + 15/8 = 0.
1, 15
Determine x so that -x**5/8 - x**4/4 + x**3/4 + x**2 + 7*x/8 + 1/4 = 0.
-1, 2
Suppose -4*f**5 - 288*f**4 - 828*f**3 + 16*f**2 + 1104*f = 0. What is f?
-69, -2, 0, 1
Find k, given that -4*k**5 - 4*k**4 + 84*k**3 + 164*k**2 + 80*k = 0.
-4, -1, 0, 5
Factor -2*a**3/7 + 218*a**2/7 - 636*a/7.
-2*a*(a - 106)*(a - 3)/7
Factor 105*m**4 + 410*m**3 + 275*m**2 - 30*m.
5*m*(m + 1)*(m + 3)*(21*m - 2)
Factor -q**2 - 219*q - 434.
-(q + 2)*(q + 217)
Solve -2*i**3/5 + 74*i**2 - 16544*i/5 - 53016/5 = 0 for i.
-3, 94
Factor a**3/4 + 43*a**2/2 + 208*a - 12168.
(a - 18)*(a + 52)**2/4
Let 2*x**2 - 2780*x - 5568 = 0. What is x?
-2, 1392
Suppose 16*j**4 - 428*j**3 - 108*j**2 = 0. Calculate j.
-1/4, 0, 27
Factor d**3/6 + 2*d**2/3 - 17*d/2 + 15.
(d - 3)**2*(d + 10)/6
What is m in -2*m**5 - 2*m**4 + 4*m**3 = 0?
-2, 0, 1
Factor -6*p**3 - 2*p**2.
-2*p**2*(3*p + 1)
Factor 3*d**3 + 5019*d**2.
3*d**2*(d + 1673)
Factor 3*u**2/5 + 174*u/5 - 189.
3*(u - 5)*(u + 63)/5
Determine n so that n**4/2 - 13*n**3/2 + 55*n**2/2 - 75*n/2 = 0.
0, 3, 5
Find d, given that 2*d**5 + 2*d**4 - 18*d**3 - 10*d**2 + 32*d + 24 = 0.
-3, -1, 2
Factor -f**3/2 + 6*f**2 + 31*f/2 - 21.
-(f - 14)*(f - 1)*(f + 3)/2
Factor 4*z**2 - 244*z + 472.
4*(z - 59)*(z - 2)
Determine f, given that -5*f**3 - 5705*f**2 + 34365*f - 51615 = 0.
-1147, 3
Solve 5*k**5 + 10*k**4 - 40*k**3 + 10*k**2 + 35*k - 20 = 0.
-4, -1, 1
Solve 1020100*i**2 + 8080*i + 16 = 0 for i.
-2/505
Solve -2*t**5/9 + 232*t**4/9 - 8888*t**3/9 + 12116*t**2 + 15210*t - 26364 = 0.
-2, 1, 39
Factor -5*c**3 - 3160*c**2 + 6335*c - 3170.
-5*(c - 1)**2*(c + 634)
Suppose 2*p**2/9 - 2980*p/9 + 1110050/9 = 0. What is p?
745
Determine f so that -2*f**2/5 + 68*f/5 - 66/5 = 0.
1, 33
Factor 3*a**5/7 - 3*a**4/7 - 3*a**3/7 + 3*a**2/7.
3*a**2*(a - 1)**2*(a + 1)/7
Solve 3*y**3/4 - 11*y**2/2 + y + 30 = 0 for y.
-2, 10/3, 6
Suppose -24*o**3/5 + 183*o**2/5 - 63*o = 0. Calculate o.
0, 21/8, 5
Suppose 2*d**3/7 - 14*d**2 + 534*d/7 - 774/7 = 0. What is d?
3, 43
Suppose 3*s**3 - 15*s**2 = 0. Calculate s.
0, 5
Factor -57*a**2/5 - 18*a + 48/5.
-3*(a + 2)*(19*a - 8)/5
What is s in 3*s**5 + s**4 - 3*s**3 - s**2 = 0?
-1, -1/3, 0, 1
Factor -6*d**4/11 + 8*d**3 - 350*d**2/11 + 196*d/11.
-2*d*(d - 7)**2*(3*d - 2)/11
Factor m**3 + 36*m**2 + 285*m - 722.
(m - 2)*(m + 19)**2
Determine t so that -8*t**5 + 20*t**4 + 20*t**3 - 20*t**2 - 12*t = 0.
-1, -1/2, 0, 1, 3
Let p**2/3 - 4*p/3 = 0. Calculate p.
0, 4
Determine c so that 2*c**2 - 55*c + 27 = 0.
1/2, 27
Factor 3*h**4/2 - 9*h**3/2 + 9*h**2/2 - 3*h/2.
3*h*(h - 1)**3/2
Factor -k**3 - 79*k**2 - 1599*k - 1521.
-(k + 1)*(k + 39)**2
Solve -15*c**4 + 24*c**3 + 7