0.
-3, 0
Factor 2*v**2 - 30*v - 32.
2*(v - 16)*(v + 1)
Let 5*c**2/6 - 455*c/6 - 485 = 0. What is c?
-6, 97
Solve 2*q**3/9 + 344*q**2/9 + 4814*q/3 - 3364 = 0 for q.
-87, 2
Factor -5*o**4 + 2260*o**3 - 2245*o**2 - 4510*o.
-5*o*(o - 451)*(o - 2)*(o + 1)
Factor 36*y**3 + 24*y**2 - 11*y + 1.
(y + 1)*(6*y - 1)**2
Find g, given that g**5/5 + 23*g**4/5 - 49*g**3/5 + 5*g**2 = 0.
-25, 0, 1
Determine h so that 2*h**5/15 - 2*h**4 + 8*h**3/5 + 56*h**2/15 = 0.
-1, 0, 2, 14
Solve 2*p**5/7 + 144*p**4/7 - 150*p**3/7 - 292*p**2/7 = 0 for p.
-73, -1, 0, 2
Factor 2*w**2 + 396*w - 398.
2*(w - 1)*(w + 199)
Suppose -185*m**4 - 750*m**3 - 595*m**2 - 30*m = 0. Calculate m.
-3, -1, -2/37, 0
Factor -3*q**2/2 + 6831*q/2 + 3417.
-3*(q - 2278)*(q + 1)/2
What is f in -2*f**3 - 3498*f**2 - 2039334*f - 396310574 = 0?
-583
What is t in -169*t**5 + 1495*t**4/3 - 776*t**3/3 - 188*t**2 + 416*t/3 - 64/3 = 0?
-2/3, 4/13, 1, 2
Factor 5*q**2 - 125*q + 420.
5*(q - 21)*(q - 4)
What is g in 5*g**4 + 140*g**3 + 955*g**2 + 1960*g + 1140 = 0?
-19, -6, -2, -1
Find g such that -6*g**3 + 32*g**2 + 354*g + 220 = 0.
-5, -2/3, 11
Factor -2*i**3/9 - 52*i**2/9 - 128*i/3 - 64.
-2*(i + 2)*(i + 12)**2/9
Determine z, given that 4*z**2 + 152*z - 672 = 0.
-42, 4
Determine l so that -2*l**4/11 + 24*l**3/11 - 70*l**2/11 + 48*l/11 = 0.
0, 1, 3, 8
Factor 3*k**5/5 - 3*k**4/5 - 36*k**3/5 + 48*k**2/5 + 96*k/5 - 144/5.
3*(k - 2)**3*(k + 2)*(k + 3)/5
Factor -5*g**2 + 295*g - 570.
-5*(g - 57)*(g - 2)
Suppose 12*y**2 + 189*y - 48 = 0. What is y?
-16, 1/4
Suppose -d**3 + 7*d - 6 = 0. What is d?
-3, 1, 2
Factor -13*n**2/6 + 335*n/6 + 13.
-(n - 26)*(13*n + 3)/6
Find l, given that l**2 - 62*l + 961 = 0.
31
Factor -2*a**3 - 12*a**2 - 6*a + 20.
-2*(a - 1)*(a + 2)*(a + 5)
Solve 3*j**4 + 12*j**3 - 156*j**2 + 240*j = 0.
-10, 0, 2, 4
Factor 5*v**2/4 - 135*v/4 + 175.
5*(v - 20)*(v - 7)/4
Find d such that -4*d**2 + 64*d + 68 = 0.
-1, 17
Factor -j**2/5 - 14052*j/5 - 49364676/5.
-(j + 7026)**2/5
Factor 20*h**2 - 132*h - 56.
4*(h - 7)*(5*h + 2)
Let 2*c**5 - 10*c**4 - 4*c**3 + 20*c**2 + 2*c - 10 = 0. Calculate c.
-1, 1, 5
Factor 338*w**2 - 416*w + 128.
2*(13*w - 8)**2
Factor 5*z**3 - 120*z**2 + 720*z.
5*z*(z - 12)**2
Factor 2*g**3 + 12*g**2 + 16*g.
2*g*(g + 2)*(g + 4)
Find q such that -5*q**5/3 - 610*q**4/3 - 26255*q**3/3 - 451630*q**2/3 - 2346500*q/3 - 1920520/3 = 0.
-38, -7, -1
Factor 4*c**3 - 108*c**2 - 4*c + 108.
4*(c - 27)*(c - 1)*(c + 1)
Determine l so that -5*l**2 - 9140*l - 4176980 = 0.
-914
Factor 2*o**4/11 + 294*o**3 - 9714*o**2/11 + 9718*o/11 - 3240/11.
2*(o - 1)**3*(o + 1620)/11
Factor 9*r**4 - 1596*r**3 - 2678*r**2 - 1252*r - 179.
(r - 179)*(r + 1)*(3*r + 1)**2
Factor -3*m**4 - 48*m**3 + 240*m**2.
-3*m**2*(m - 4)*(m + 20)
Determine y, given that -27*y**2/4 - 900*y - 30000 = 0.
-200/3
Factor o**3 - 972*o**2 - 1947*o - 974.
(o - 974)*(o + 1)**2
Solve -3*s**4/8 - 27*s**3/4 - 33*s**2/2 + 27*s/4 + 135/8 = 0.
-15, -3, -1, 1
Solve -a**5 - 11*a**4/2 - 8*a**3 - a**2/2 + 3*a = 0 for a.
-3, -2, -1, 0, 1/2
Factor -f**3/5 + 3*f**2 + 33*f/5 + 17/5.
-(f - 17)*(f + 1)**2/5
Solve -5*p**2 - 635*p = 0.
-127, 0
Factor -5*q**5 - 50*q**4 + 600*q**3 - 2000*q**2 + 2800*q - 1440.
-5*(q - 2)**4*(q + 18)
Determine q, given that 2*q**3/15 + 2*q**2/3 - 28*q/15 = 0.
-7, 0, 2
Factor 2*t**3/7 + 11*t**2/7 - 40*t/7.
t*(t + 8)*(2*t - 5)/7
Find b such that -5*b**4 + 15*b**3 + 60*b**2 - 260*b + 240 = 0.
-4, 2, 3
Factor -n**2/4 + 115*n/4.
-n*(n - 115)/4
Suppose -4*a**3 - 24*a**2 - 36*a = 0. What is a?
-3, 0
Solve -3*i**3 + 12*i**2 - 12*i = 0 for i.
0, 2
Factor -b**4/7 + 11*b**3/7 - 12*b**2/7 - 180*b/7 + 432/7.
-(b - 6)**2*(b - 3)*(b + 4)/7
Solve 4*j**4/9 - 50*j**3/9 + 104*j**2/9 - 40*j/9 = 0.
0, 1/2, 2, 10
Find q such that 13*q**5/3 + 5*q**4 - 50*q**3/3 - 20*q**2 - 8*q/3 = 0.
-2, -1, -2/13, 0, 2
Suppose -28*z**5 + 92*z**4 - 52*z**3 - 76*z**2 + 80*z - 16 = 0. Calculate z.
-1, 2/7, 1, 2
Solve 4*c**2 + 44*c + 72 = 0 for c.
-9, -2
Let -2*k**5/7 + 2*k**4/7 + 102*k**3/7 + 334*k**2/7 + 380*k/7 + 144/7 = 0. What is k?
-4, -2, -1, 9
Factor x**2/5 - 244*x/5.
x*(x - 244)/5
Suppose -4*m**2 + 260*m + 536 = 0. Calculate m.
-2, 67
Let -2*g**5/9 - 10*g**4/9 + 2*g**3/9 + 34*g**2/9 - 8*g/3 = 0. Calculate g.
-4, -3, 0, 1
Factor -3*d**2 + 27.
-3*(d - 3)*(d + 3)
Factor -b**4/5 + 5*b**3 + 181*b**2/5 + 31*b.
-b*(b - 31)*(b + 1)*(b + 5)/5
Find p such that 5*p**2/4 - 75*p/2 - 155/4 = 0.
-1, 31
Find a such that -2*a**4 + 44*a**3/5 - 66*a**2/5 + 8*a - 8/5 = 0.
2/5, 1, 2
Factor -4*k**2 + 696*k + 2848.
-4*(k - 178)*(k + 4)
Factor 2*q**2/19 - 14*q - 816/19.
2*(q - 136)*(q + 3)/19
Factor -9*c**3 + 7*c**2 + 20*c + 4.
-(c - 2)*(c + 1)*(9*c + 2)
Factor 3*w**2 - 63*w.
3*w*(w - 21)
Solve 14*w**3/3 + 106*w**2/3 - 58*w + 18 = 0 for w.
-9, 3/7, 1
Solve -p**2/2 - 11*p/2 + 105 = 0 for p.
-21, 10
Factor 2*b**3/7 + 10*b**2 + 28*b + 128/7.
2*(b + 1)*(b + 2)*(b + 32)/7
Factor 16*j**4 + 228*j**3 + 776*j**2 + 180*j.
4*j*(j + 5)*(j + 9)*(4*j + 1)
Let f**2/5 - 38*f/5 + 361/5 = 0. Calculate f.
19
Factor x**4/3 - 4*x**3 + 12*x**2 - 32*x/3.
x*(x - 8)*(x - 2)**2/3
Factor -2*k**2 + 386*k + 780.
-2*(k - 195)*(k + 2)
Factor t**3/8 - 51*t**2/4 + 201*t/8 - 25/2.
(t - 100)*(t - 1)**2/8
Factor 2*r**2/15 - 8*r/5 - 64/3.
2*(r - 20)*(r + 8)/15
Let 14*v**2 - 90*v + 36 = 0. What is v?
3/7, 6
Find u such that 2*u**4 - 10*u**3 - 14*u**2 + 82*u - 60 = 0.
-3, 1, 2, 5
Solve 32*h**3/5 - 3952*h**2/5 + 394*h - 246/5 = 0 for h.
1/4, 123
Factor -5*h**3 - 135*h**2 + 285*h + 19855.
-5*(h - 11)*(h + 19)**2
Find a, given that 2*a**4/23 + 58*a**3/23 - 210*a**2/23 - 586*a/23 - 320/23 = 0.
-32, -1, 5
Factor -720*b**3 - 35*b**2 + 5*b.
-5*b*(9*b + 1)*(16*b - 1)
Factor -4*o**3 - 8*o**2 + 52*o - 40.
-4*(o - 2)*(o - 1)*(o + 5)
Factor q**3 + 8*q**2 + 17*q + 10.
(q + 1)*(q + 2)*(q + 5)
Factor 4*g**4/5 + 784*g**3/5.
4*g**3*(g + 196)/5
Suppose 8*q**4 + 12*q**3 - 8*q**2 = 0. What is q?
-2, 0, 1/2
Factor -3*b**3 - 24*b**2 + 27*b.
-3*b*(b - 1)*(b + 9)
Solve 6*h**2 + 1096*h - 366 = 0.
-183, 1/3
Factor -3*u**2 + 9*u.
-3*u*(u - 3)
Factor v**3/8 - 3*v**2/4 + 3*v/2 - 1.
(v - 2)**3/8
Find d such that 3*d**5 - 60*d**4 - 6*d**3 + 120*d**2 + 3*d - 60 = 0.
-1, 1, 20
Factor 5*j**2 - 350*j + 6125.
5*(j - 35)**2
Factor -2*p**5 - 850*p**4 - 136500*p**3 - 9922500*p**2 - 289406250*p - 1215506250.
-2*(p + 5)*(p + 105)**4
Let -3*t**3 + 2487*t**2 - 4965*t + 2481 = 0. Calculate t.
1, 827
Factor -8*w**3 - 1522*w**2 - 72580*w - 18050.
-2*(w + 95)**2*(4*w + 1)
Factor 2*v**4 + 666*v**3 + 20526*v**2 + 220462*v + 798600.
2*(v + 11)**3*(v + 300)
Suppose -b**5/4 - 9*b**4/4 - 8*b**3 - 14*b**2 - 12*b - 4 = 0. Calculate b.
-2, -1
Factor -3*n**3 - 414*n**2 + 423*n + 834.
-3*(n - 2)*(n + 1)*(n + 139)
Determine a, given that a**5/3 - 3*a**4 + 22*a**3/3 - 32*a/3 = 0.
-1, 0, 2, 4
Factor 15*d**2/2 + 177*d/2 - 18.
3*(d + 12)*(5*d - 1)/2
Factor 25*t**3 - 835*t**2 - 1420*t + 700.
5*(t - 35)*(t + 2)*(5*t - 2)
Factor -2*p**2/5 - 22*p/5.
-2*p*(p + 11)/5
Find o, given that 3*o**2 - 6*o - 9 = 0.
-1, 3
Factor 3*s**3 + 24*s**2 + 15*s - 42.
3*(s - 1)*(s + 2)*(s + 7)
Factor -5*r**3/4 - 1560*r**2 - 648960*r - 89989120.
-5*(r + 416)**3/4
Determine k so that 145*k**3 - 445*k**2 + 320*k - 20 = 0.
2/29, 1, 2
Determine h so that h**2/8 - 43*h/8 + 111/4 = 0.
6, 37
Factor 21*s**2 - 3*s.
3*s*(7*s - 1)
Factor -21*u**4 - 117*u**3 - 144*u**2 - 48*u.
-3*u*(u + 1)*(u + 4)*(7*u + 4)
Factor m**4/7 - 4*m**3/7 - 3*m**2/7 + 10*m/7 + 8/7.
(m - 4)*(m - 2)*(m + 1)**2/7
What is t in -4*t**5 + 2328*t**4 - 2320*t**3 - 2328*t**2 + 2324*t = 0?
-1, 0, 1, 581
Let -2*m**4 + 8*m**3 + 22*m**2 + 12*m = 0. Calculate m.
-1, 0, 6
Factor 2*g**3/11 - 26*g**2/11 + 32*g/11 + 384/11.
2*(g - 8)**2*(g + 3)/11
Factor 4*x**3 + 260*x**2 + 5408*x + 35152.
4*(x + 13)*(x + 26)**2
Factor 21*a**2 - 30*a.
3*a*(7*a - 10)
Determine f so that 3*f**3 + 153*f**2 - 3*f - 153 = 0.
-51, -1, 1
Factor -2*i**3/13 - 8*i**2/13 + 32*i/13 + 128/13.
-2*(i - 4)*(i + 4)**2/13
Solve 279*w**3 - 2769*w**2 - 234*w + 240 = 0.
-1/3, 8/31, 10
What is r in r**2/2 + 41*r + 81/2 = 0?
-81, -1
Factor -5*w**2 - 25*w - 20.
-5*(w + 1)*(w + 4)
Factor 225*o**2 - 215*o - 10.
5*(o - 1)*(45*o + 2)
Factor 2*h**5/5 - 16*h**4/5.
2*h**4*(h - 8)/5
Factor -f**4 + 46*f**3 + 507*f**2 - 23828*f - 268324.
-(f - 37)**2*(f + 14)**2
Factor -2*w**3/5 + 2794*w**2/15 - 324802*w/15 - 108578/15.