 -d**3/4 + 41*d**2/4.
-d**2*(d - 41)/4
Factor -q**2/2 + 11*q/2 + 13.
-(q - 13)*(q + 2)/2
Determine t so that -2*t**5/7 + 6*t**3/7 - 4*t**2/7 = 0.
-2, 0, 1
Solve -3*s**3 + 3*s**2 + 24*s - 36 = 0 for s.
-3, 2
Determine t, given that 2*t**2/11 + 2*t/11 - 364/11 = 0.
-14, 13
Suppose -25*t**5 - 115*t**4 - 125*t**3 - 5*t**2 + 30*t = 0. What is t?
-3, -1, 0, 2/5
Factor 2*h**3/7 - 54*h**2/7 - 386*h/7 - 330/7.
2*(h - 33)*(h + 1)*(h + 5)/7
Determine g, given that -9*g**5 - 255*g**4 - 544*g**3 + 72*g**2 + 528*g + 208 = 0.
-26, -2, -2/3, 1
Determine z so that z**3 + 130*z**2 + 4352*z + 8192 = 0.
-64, -2
Factor -26*j**2/5 - 4194*j/5 - 1288/5.
-2*(j + 161)*(13*j + 4)/5
Determine q, given that -2*q**2/9 + 4*q/3 = 0.
0, 6
Find c such that 2*c**3/5 + 26*c**2 + 128*c/5 = 0.
-64, -1, 0
Factor 91*g**3/4 + 227*g**2/2 - 5*g/4.
g*(g + 5)*(91*g - 1)/4
Let -2*z**3/17 - 284*z**2/17 - 838*z/17 - 556/17 = 0. Calculate z.
-139, -2, -1
Solve 2*g**2/11 + 7530*g/11 = 0 for g.
-3765, 0
Let -f**3 - 1269*f**2 - 401955*f + 403225 = 0. What is f?
-635, 1
Let 2*m**5/11 - 16*m**4/11 - 156*m**3/11 + 32*m**2 - 182*m/11 = 0. Calculate m.
-7, 0, 1, 13
Factor 15*t**2/8 + 723*t/8 - 288.
3*(t - 3)*(5*t + 256)/8
Suppose m**5/9 + 8*m**4/3 + 19*m**3/3 - 998*m**2/9 + 820*m/3 - 200 = 0. Calculate m.
-15, 2
Let 3*m**2 - 12*m + 9 = 0. Calculate m.
1, 3
Factor -b**3/7 + 53*b**2/7 + 4*b/7 - 212/7.
-(b - 53)*(b - 2)*(b + 2)/7
Suppose z**4 + 125*z**3 + 243*z**2 - 369*z = 0. What is z?
-123, -3, 0, 1
Let -i**4/6 - 4*i**3/3 - 13*i**2/6 - i = 0. What is i?
-6, -1, 0
Find f such that -f**5 + 10*f**4 + 43*f**3 - 52*f**2 = 0.
-4, 0, 1, 13
Factor -5*y**3 + 340*y**2 + 1425*y + 1080.
-5*(y - 72)*(y + 1)*(y + 3)
Suppose -u**4 - 163*u**3 - 161*u**2 + 163*u + 162 = 0. Calculate u.
-162, -1, 1
Solve -5*g**5 - 10*g**4 + 15*g**3 = 0.
-3, 0, 1
Factor -v**4/3 + 98*v**3/3 + 100*v**2 + 302*v/3 + 101/3.
-(v - 101)*(v + 1)**3/3
Solve 64*u**5 - 1312*u**4 - 3548*u**3 - 2996*u**2 - 916*u - 92 = 0.
-1, -1/4, 23
Factor -5*i**2 + 465*i - 3780.
-5*(i - 84)*(i - 9)
Factor 4*i**2 + 12*i + 8.
4*(i + 1)*(i + 2)
Suppose 4*p**4/3 + 112*p**3/3 + 784*p**2/3 = 0. What is p?
-14, 0
Factor 15*c**3 - 399*c**2 + 918*c + 432.
3*(c - 24)*(c - 3)*(5*c + 2)
Factor 2*k**5/5 + 14*k**4/5 - 4*k**3/5 - 92*k**2/5 + 26*k - 10.
2*(k - 1)**3*(k + 5)**2/5
Factor 2*w**2/3 + 390*w.
2*w*(w + 585)/3
Solve 2*t**4 - 4*t**3 - 8*t**2 + 16*t = 0.
-2, 0, 2
Factor 2*w**3/9 + 1016*w**2 + 1161288*w.
2*w*(w + 2286)**2/9
Factor -16*l**2 + 1220*l - 304.
-4*(l - 76)*(4*l - 1)
Suppose 2*m**2/7 - 12*m/7 + 18/7 = 0. What is m?
3
Find w such that -2*w**3/9 - 16*w**2/3 - 88*w/9 = 0.
-22, -2, 0
Suppose -30*r**5 + 619*r**4/4 - 467*r**3/2 + 122*r**2 - 25*r/2 - 3/4 = 0. Calculate r.
-1/24, 1/5, 1, 3
Factor w**5 + 4*w**4 + 2*w**3 - 4*w**2 - 3*w.
w*(w - 1)*(w + 1)**2*(w + 3)
Let 2*y**4 - 76*y**3 - 242*y**2 - 164*y = 0. What is y?
-2, -1, 0, 41
Factor -3*l**3/4 + 167*l**2/4 - 79*l/2 - 82.
-(l - 2)*(l + 1)*(3*l - 164)/4
Factor 3*q**3/2 - 3*q**2/2 - 3*q.
3*q*(q - 2)*(q + 1)/2
Find k, given that 9*k**5/8 + 73*k**4/4 + 5*k**3/8 - 57*k**2 - 97*k/2 - 8 = 0.
-16, -1, -2/9, 2
Factor 7*a**2/4 - 85*a/2 + 12.
(a - 24)*(7*a - 2)/4
Suppose -2*f**3/7 + 4*f**2/7 + 8*f/7 - 16/7 = 0. What is f?
-2, 2
Suppose m**2/4 - 1197*m/4 + 299 = 0. What is m?
1, 1196
Factor 2*r**2 + 34*r - 36.
2*(r - 1)*(r + 18)
Factor 5*f**3 - 40*f**2 - 185*f + 220.
5*(f - 11)*(f - 1)*(f + 4)
Factor 28*h**4 + 20*h**3 - 64*h**2 + 16*h.
4*h*(h - 1)*(h + 2)*(7*h - 2)
Find y such that 3*y**2/5 + 1497*y/5 + 4464/5 = 0.
-496, -3
Let -5*c**4 - 3655*c**3 + 3660*c**2 = 0. Calculate c.
-732, 0, 1
Let 3*c**5/10 - 11*c**4/10 - c**3 + 24*c**2/5 = 0. What is c?
-2, 0, 8/3, 3
Solve -5*p**3 - 30*p**2 - 25*p + 60 = 0.
-4, -3, 1
Determine m, given that -12*m**5/11 + 40*m**4/11 + 181*m**3/11 - 301*m**2/11 - 505*m/11 - 75/11 = 0.
-3, -1, -1/6, 5/2, 5
Suppose 2*b**5/7 - 148*b**4/7 + 2584*b**3/7 + 5776*b**2/7 = 0. What is b?
-2, 0, 38
What is w in -2*w**3 - 36*w**2 - 66*w - 32 = 0?
-16, -1
Factor -2*t**3/9 - 4*t**2/9 + 16*t/9.
-2*t*(t - 2)*(t + 4)/9
Let 5*l**5 + 15*l**4 - 5*l**3 - 35*l**2 + 20 = 0. Calculate l.
-2, -1, 1
Factor j**3/4 - 9*j/4.
j*(j - 3)*(j + 3)/4
Let 2*m**5/3 - 4*m**4/3 - 12*m**3 - 64*m**2/3 - 46*m/3 - 4 = 0. What is m?
-1, 6
Factor -5*k**2 + 2500*k.
-5*k*(k - 500)
Find x, given that 8*x**5 - 50*x**4 - 50*x**3 + 50*x**2 + 42*x = 0.
-1, -3/4, 0, 1, 7
Determine s, given that -3*s**4/5 + 2*s**3/5 + 16*s**2/5 + 14*s/5 + 3/5 = 0.
-1, -1/3, 3
Determine q so that -5*q**2 + 210*q = 0.
0, 42
Factor 5*m**3 + 645*m**2 + 1840*m - 6300.
5*(m - 2)*(m + 5)*(m + 126)
Find k, given that k**4/4 + 25*k**3/2 - 81*k**2 + 166*k - 112 = 0.
-56, 2
Let -28*r**3/5 - 162*r**2/5 - 104*r/5 + 6 = 0. Calculate r.
-5, -1, 3/14
Find b such that -16*b**3/5 - 24*b**2 - 153*b/5 - 54/5 = 0.
-6, -3/4
Factor g**2/4 - 27*g.
g*(g - 108)/4
Find s such that 5*s**5/4 - 55*s**4/2 - 135*s**3/4 + 110*s**2 + 115*s = 0.
-2, -1, 0, 2, 23
Factor -2*j**3/3 + 4*j**2/3 + 8*j/3 - 16/3.
-2*(j - 2)**2*(j + 2)/3
Determine q, given that -2*q**2/9 + 722*q/9 + 484/3 = 0.
-2, 363
Determine g, given that -3*g**2/8 + 3*g/2 + 63/8 = 0.
-3, 7
What is q in -5*q**2 + 195*q - 1120 = 0?
7, 32
Solve 3*h**4 + 75*h**3 + 249*h**2 - 75*h - 252 = 0.
-21, -4, -1, 1
Factor 2*d**3/5 + 44*d**2/5 + 38*d/5 - 84/5.
2*(d - 1)*(d + 2)*(d + 21)/5
What is r in -5*r**2 - 55*r + 60 = 0?
-12, 1
Factor -2*p**2 - 3096*p - 1198152.
-2*(p + 774)**2
What is q in 3*q**2/8 - 177*q/4 - 1845/8 = 0?
-5, 123
What is y in 128*y**5 - 928*y**4 + 1010*y**3 + 3796*y**2 - 5120*y + 1600 = 0?
-2, 5/8, 4
What is o in 2*o**3/3 + 61*o**2/6 + 71*o/6 + 7/3 = 0?
-14, -1, -1/4
Factor 2*o**2 - 884*o - 886.
2*(o - 443)*(o + 1)
Factor -5*g**3 + 725*g**2 + 1465*g + 735.
-5*(g - 147)*(g + 1)**2
Determine i, given that -5*i**3 + 50*i**2 - 85*i + 40 = 0.
1, 8
Determine p, given that p**2 - 21*p = 0.
0, 21
Suppose -20*j**4 - 248*j**3 - 16*j**2 + 992*j + 384 = 0. What is j?
-12, -2, -2/5, 2
Let -625*p**5 + 49875*p**4 - 1039050*p**3 + 1763910*p**2 - 1037205*p + 205335 = 0. Calculate p.
3/5, 39
Solve -25*j**2 - 255*j - 50 = 0.
-10, -1/5
Suppose -6*w**4 - 311*w**3/2 + 19*w**2 + 311*w/2 - 13 = 0. Calculate w.
-26, -1, 1/12, 1
What is o in -14*o**4 + 118*o**3 - 76*o**2 - 208*o = 0?
-1, 0, 2, 52/7
Determine o, given that 5*o**2 = 0.
0
Factor -g**2/3 - 8462*g/3 - 17901361/3.
-(g + 4231)**2/3
Factor -k**2 - 444*k + 445.
-(k - 1)*(k + 445)
Solve 9*i**4 + 88*i**3 + 43*i**2 - 176*i + 36 = 0 for i.
-9, -2, 2/9, 1
Factor -5*r**3 + 25*r**2 + 290*r + 440.
-5*(r - 11)*(r + 2)*(r + 4)
Determine f, given that 2*f**2 - 320*f + 12800 = 0.
80
Factor 4*j**5 - 60*j**4 + 192*j**3 + 256*j**2.
4*j**2*(j - 8)**2*(j + 1)
Factor -21*m**3 - 12900*m**2 - 16557*m - 3678.
-3*(m + 1)*(m + 613)*(7*m + 2)
Factor 2*b**2/15 + 6*b/5 - 108/5.
2*(b - 9)*(b + 18)/15
Solve 4*l**3 + 16*l**2 + 20*l + 8 = 0.
-2, -1
Factor 2*g**5 + 6*g**4 + 6*g**3 + 2*g**2.
2*g**2*(g + 1)**3
Factor -3*t**2 - 72*t.
-3*t*(t + 24)
Factor -3*a**2/7 + 48*a/7 - 192/7.
-3*(a - 8)**2/7
Suppose -2*x**5/3 - 184*x**4/3 - 1470*x**3 - 2700*x**2 = 0. Calculate x.
-45, -2, 0
Let 2*p**5/9 - 10*p**4/9 - 106*p**3/9 - 262*p**2/9 - 256*p/9 - 88/9 = 0. Calculate p.
-2, -1, 11
Suppose -2*u**4/5 - 10*u**3 - 138*u**2/5 - 134*u/5 - 44/5 = 0. What is u?
-22, -1
Let 12*n**4 - 9*n**3 - 147*n**2 - 36*n = 0. What is n?
-3, -1/4, 0, 4
What is v in -v**3/3 - 49*v**2 - 2401*v - 117649/3 = 0?
-49
Factor 2*b**2 - 48*b - 50.
2*(b - 25)*(b + 1)
Factor -4*f**3 - 244*f**2 - 3840*f - 3600.
-4*(f + 1)*(f + 30)**2
What is j in j**2/2 + 2*j + 3/2 = 0?
-3, -1
Find s, given that -3*s**4 - 141*s**3 - 258*s**2 + 564*s + 1080 = 0.
-45, -2, 2
Factor -86*j**2/15 - 4*j/5.
-2*j*(43*j + 6)/15
Factor -x**3/2 - 3*x**2/2 + 5*x + 12.
-(x - 3)*(x + 2)*(x + 4)/2
Factor -4*c**3 - 16*c**2 + 4*c + 16.
-4*(c - 1)*(c + 1)*(c + 4)
Find t, given that 5*t**3 - 3*t**2 - 93*t - 85 = 0.
-17/5, -1, 5
Determine y so that 5*y**2 - 500*y = 0.
0, 100
Find v, given that 2*v**3/3 - 106*v**2/3 + 544*v - 1920 = 0.
5, 24
Factor -n**2 - 17*n + 84.
-(n - 4)*(n + 21)
Factor 4*i**3 - 424*i**2 + 10800*i + 23328.
4*(i - 54)**2*(i + 2)
Solve u**2/4 + 75*u/2 + 5625/4 = 0 for u.
-75
Determine t so that -5*t**3 - 40*t**2 + 5*t + 40 = 0.
-8, -1, 1
What is q in 2*q**4 - 116*q**3 + 2522*q**2 - 24360*q 