5
Determine y, given that -2*y**4/9 + 8*y**3/9 + 26*y**2/9 - 8*y/9 - 8/3 = 0.
-2, -1, 1, 6
Solve 144*d**4 + 796*d**3 + 752*d**2 - 496*d + 64 = 0 for d.
-4, -2, 2/9, 1/4
Factor 3*t**2/5 + 21*t/5 + 18/5.
3*(t + 1)*(t + 6)/5
Factor x**2 - 41*x + 210.
(x - 35)*(x - 6)
Find z such that -8*z**3 + 166*z**2 - 118*z - 40 = 0.
-1/4, 1, 20
Solve 2*c**2/5 - 948*c/5 + 1888/5 = 0 for c.
2, 472
Solve 3*w**2 - 504*w + 21168 = 0.
84
Find n such that -2*n**5/5 - 24*n**4/5 - 18*n**3 - 44*n**2/5 + 384*n/5 + 576/5 = 0.
-4, -3, 2
Find g such that 100*g**2 + 1710*g + 29241/4 = 0.
-171/20
Let -24*h**2 + 5180*h + 864 = 0. What is h?
-1/6, 216
Let 3*k**4 - 12*k**3 + 9*k**2 + 12*k - 12 = 0. Calculate k.
-1, 1, 2
Find m such that 45*m**2 + 110*m + 40 = 0.
-2, -4/9
Factor c**4/3 - 1529*c**3 + 4586*c**2/3.
c**2*(c - 4586)*(c - 1)/3
Factor 3*n**4/2 + 5*n**3 + n**2/2 - 3*n.
n*(n + 1)*(n + 3)*(3*n - 2)/2
What is w in -2*w**5/3 + 46*w**4 - 2440*w**3/3 + 1760*w**2/3 + 3264*w - 9248/3 = 0?
-2, 1, 2, 34
Factor -k**3 - 54*k**2 + 355*k - 300.
-(k - 5)*(k - 1)*(k + 60)
Solve 2*m**2 - 40*m = 0.
0, 20
Find h, given that h**4/4 + h**3/4 - 21*h**2/4 - 41*h/4 - 5 = 0.
-4, -1, 5
Solve 26*v**4 + 40*v**3 - 78*v**2 - 172*v - 80 = 0 for v.
-20/13, -1, 2
Find s, given that -8*s**5 - 78*s**4 - 44*s**3 + 96*s**2 + 52*s - 18 = 0.
-9, -1, 1/4, 1
Factor d**2 - 38*d + 217.
(d - 31)*(d - 7)
Suppose 2*r**4/3 + 124*r**3/3 - 8*r**2 - 1520*r/3 - 1984/3 = 0. What is r?
-62, -2, 4
Find p, given that 4*p**2 - 208*p - 212 = 0.
-1, 53
Factor 5*b**3/6 + 20*b**2/3 + 40*b/3.
5*b*(b + 4)**2/6
Factor 51*q**2 - 120*q - 99.
3*(q - 3)*(17*q + 11)
Factor 2*w**2/11 + 316*w/11 - 2656/11.
2*(w - 8)*(w + 166)/11
Factor -3*x**4 + 39*x**3 - 150*x**2 + 168*x.
-3*x*(x - 7)*(x - 4)*(x - 2)
Suppose 4*w**4/3 - 112*w**3/3 - 244*w**2/3 + 112*w/3 + 80 = 0. What is w?
-2, -1, 1, 30
Find f such that -f**2/4 - 77*f/4 = 0.
-77, 0
Suppose 4*f**3 - 5692*f**2 = 0. Calculate f.
0, 1423
Factor 5*g**5 - 60*g**4 - 75*g**3 + 1390*g**2 + 4140*g + 3240.
5*(g - 9)**2*(g + 2)**3
Find k such that 6*k**4/5 - 26*k**3/3 + 208*k**2/15 - 8*k/3 = 0.
0, 2/9, 2, 5
Factor 4*b**3 - 4*b.
4*b*(b - 1)*(b + 1)
Factor -k**4 - 8*k**3 - 6*k**2 + 8*k + 7.
-(k - 1)*(k + 1)**2*(k + 7)
Solve y**4/7 + 12*y**3/7 - 27*y**2/7 + 2*y = 0.
-14, 0, 1
Suppose 2*m**4 + 12*m**3 + 10*m**2 = 0. Calculate m.
-5, -1, 0
Suppose -5*f**2 - 100*f - 180 = 0. What is f?
-18, -2
Determine b, given that -4*b**3 - 60*b**2 + 88*b + 384 = 0.
-16, -2, 3
Factor 4*m**5/7 - 792*m**4/7 - 228*m**3 - 800*m**2/7.
4*m**2*(m - 200)*(m + 1)**2/7
Find n such that -3*n**2 + 7503*n - 14994 = 0.
2, 2499
What is q in -34*q**2/7 - 76*q/7 = 0?
-38/17, 0
Solve 144*a**5 - 624*a**4 + 932*a**3 - 1760*a**2/3 + 400*a/3 = 0.
0, 2/3, 5/6, 2
Factor -100*c**4/7 - 620*c**3/7 - 576*c**2/7 + 1296*c/7.
-4*c*(c - 1)*(5*c + 18)**2/7
Determine w so that -2*w**3/17 + 18*w**2/17 - 216/17 = 0.
-3, 6
Factor -3*a**4/2 - 5700*a**3 - 8122500*a**2 - 5144250000*a - 1221759375000.
-3*(a + 950)**4/2
Factor s**5/4 - 7*s**4/4 + 4*s**3 - 3*s**2.
s**2*(s - 3)*(s - 2)**2/4
Solve -2*o**4/9 - 4*o**3 - 70*o**2/3 - 464*o/9 - 32 = 0 for o.
-9, -4, -1
Let -y**4 + 23*y**3 - 10*y**2 - 264*y = 0. Calculate y.
-3, 0, 4, 22
Factor v**5/3 + v**4/3 - 5*v**3/3 - v**2/3 + 8*v/3 - 4/3.
(v - 1)**3*(v + 2)**2/3
Find k, given that -k**3 + 467*k**2 - 54755*k + 54289 = 0.
1, 233
Factor l**2/2 - 9/2.
(l - 3)*(l + 3)/2
Solve 3*d**4 + 12*d**3 - 543*d**2 + 1932*d - 1836 = 0.
-17, 2, 9
What is h in -2*h**3/13 + 20*h**2/13 + 142*h/13 + 120/13 = 0?
-4, -1, 15
Factor 4*b**2/5 - 4*b - 120.
4*(b - 15)*(b + 10)/5
Factor -h**2/4 + 593*h/4 + 597.
-(h - 597)*(h + 4)/4
Factor 2*a**4 - 6*a**3 - 2*a**2 + 6*a.
2*a*(a - 3)*(a - 1)*(a + 1)
Suppose -4*x**2 - 392*x - 768 = 0. What is x?
-96, -2
Find h such that -5*h**2 - 240*h + 500 = 0.
-50, 2
Factor 4*b**5/3 - 4*b**4/3 - 28*b**3 - 188*b**2/3 - 160*b/3 - 16.
4*(b - 6)*(b + 1)**3*(b + 2)/3
Let -4*m**5/7 + 16*m**4/7 + 16*m**3/7 - 64*m**2/7 = 0. Calculate m.
-2, 0, 2, 4
Factor -5*j**3/2 - 149*j**2 - 230*j + 116.
-(j + 2)*(j + 58)*(5*j - 2)/2
Determine q, given that -3*q**5 + 267*q**4 - 6330*q**3 + 17418*q**2 - 16899*q + 5547 = 0.
1, 43
Factor a**5/5 + 28*a**4/5 + 53*a**3/5 + 26*a**2/5.
a**2*(a + 1)**2*(a + 26)/5
Find a such that 3*a**4/5 - 156*a**3/5 + 90*a**2 - 444*a/5 + 147/5 = 0.
1, 49
Factor 3*g**3 + 191*g**2 + 492*g + 244.
(g + 2)*(g + 61)*(3*g + 2)
Suppose -15*g**2 + 785*g - 260 = 0. Calculate g.
1/3, 52
Determine d, given that 3*d**2 + 1815*d - 1818 = 0.
-606, 1
Factor u**2 + 34*u - 72.
(u - 2)*(u + 36)
Determine l so that -3*l**4 - 24*l**3 + 90*l**2 - 96*l + 33 = 0.
-11, 1
Factor -3*d**2/5 - 54*d - 1743/5.
-3*(d + 7)*(d + 83)/5
Determine v so that -4*v**3 - 728*v**2 - 33840*v - 64800 = 0.
-90, -2
Factor 2*f**3/5 - 102*f**2/5 - 548*f/5 - 672/5.
2*(f - 56)*(f + 2)*(f + 3)/5
Let 2*u**4/3 - 400*u**3/3 + 6798*u**2 - 13068*u = 0. Calculate u.
0, 2, 99
Factor s**2/2 - 3*s - 7/2.
(s - 7)*(s + 1)/2
Find b such that -3*b**4 + 27*b**3 - 60*b**2 = 0.
0, 4, 5
Factor 2*i**4 + 2*i**3 - 18*i**2 - 18*i.
2*i*(i - 3)*(i + 1)*(i + 3)
Factor -2*t**2/7 + 236*t/7 - 6962/7.
-2*(t - 59)**2/7
Factor -2*s**3 - 164*s**2 - 322*s - 160.
-2*(s + 1)**2*(s + 80)
Determine y, given that -y**2 + 347*y - 3042 = 0.
9, 338
Factor 3*v**4 + 423*v**3 + 420*v**2.
3*v**2*(v + 1)*(v + 140)
Factor -3*x**4/5 + 6*x**3 - 99*x**2/5 + 24*x - 48/5.
-3*(x - 4)**2*(x - 1)**2/5
Suppose -2*x**3 - 62*x**2 = 0. Calculate x.
-31, 0
Factor -3*j**4/4 - 453*j**3/2 - 66567*j**2/4 + 69309*j - 70227.
-3*(j - 2)**2*(j + 153)**2/4
Factor -j**2/2 + 35*j/2 + 18.
-(j - 36)*(j + 1)/2
Factor 4*t**2 - 3996*t - 4000.
4*(t - 1000)*(t + 1)
Suppose 3*k**4/5 + 3*k**3/5 - 18*k**2/5 - 12*k/5 + 24/5 = 0. Calculate k.
-2, 1, 2
Factor -4*l**3 + 72*l**2 - 308*l + 240.
-4*(l - 12)*(l - 5)*(l - 1)
Suppose -5*f**5/6 - 1632*f**4 - 1588887*f**3/2 + 13468121*f**2/3 - 5309674*f - 2892972 = 0. Calculate f.
-982, -2/5, 3
Suppose -i**2/3 + 164*i - 20172 = 0. Calculate i.
246
What is j in 285*j**3 - 2005*j**2 + 1780*j - 60 = 0?
2/57, 1, 6
Factor -y**5/2 - 4*y**4 - 6*y**3 + y**2 + 13*y/2 + 3.
-(y - 1)*(y + 1)**3*(y + 6)/2
Solve 5*n**4/4 + 38*n**3 - 255*n**2/4 + 17*n/2 + 16 = 0 for n.
-32, -2/5, 1
Let 2*k**2/7 + 16*k + 224 = 0. What is k?
-28
Solve 3*z**4 - 3*z**3 - 75*z**2 + 75*z = 0 for z.
-5, 0, 1, 5
Let n**4 - 3*n**3 - 2*n**2 + 12*n - 8 = 0. Calculate n.
-2, 1, 2
Let 5*s**3 + 130*s**2 + 460*s + 440 = 0. What is s?
-22, -2
Factor 2*s**3/9 + 994*s**2/9 - 1996*s/9.
2*s*(s - 2)*(s + 499)/9
Let 3*q**3 + 4602*q**2 - 9213*q + 4608 = 0. Calculate q.
-1536, 1
Factor 2*z**2/15 - 2656*z/15 + 881792/15.
2*(z - 664)**2/15
Let -v**3/6 - 4*v**2/3 + 3*v/2 = 0. What is v?
-9, 0, 1
Find o such that -4*o**4 + 31*o**3 - 56*o**2 - 16*o = 0.
-1/4, 0, 4
Factor -2*b**5 - 14*b**4 - 36*b**3 - 40*b**2 - 16*b.
-2*b*(b + 1)*(b + 2)**3
Let n**5/5 - 8*n**4/5 - 2*n**3 + 8*n**2/5 + 9*n/5 = 0. Calculate n.
-1, 0, 1, 9
Determine q, given that -q**4/3 + 7*q**3/3 - 5*q**2 + 13*q/3 - 4/3 = 0.
1, 4
Factor u**4 + 4*u**3 - 2*u**2 - 12*u + 9.
(u - 1)**2*(u + 3)**2
Factor l**5 - l**4 - l**3 + l**2.
l**2*(l - 1)**2*(l + 1)
Factor 36*o**3 + 332*o**2 + 360*o + 64.
4*(o + 1)*(o + 8)*(9*o + 2)
Factor -c**2/8 + 41*c/8 - 5.
-(c - 40)*(c - 1)/8
Determine y, given that 35*y**4 + 1865*y**3 + 4135*y**2 + 2815*y + 510 = 0.
-51, -1, -2/7
Factor -2*s**3/13 - 8*s**2/13 + 62*s/13 + 140/13.
-2*(s - 5)*(s + 2)*(s + 7)/13
Determine g so that -3*g**3 - 243*g**2 + 2655*g - 6825 = 0.
-91, 5
Solve 560*d**5 - 125*d**4 - 570*d**3 + 125*d**2 + 10*d = 0.
-1, -1/16, 0, 2/7, 1
Factor -a**5/9 + 31*a**4/9 - 190*a**3/9 - 766*a**2/9 - 833*a/9 - 289/9.
-(a - 17)**2*(a + 1)**3/9
Solve -3*t**5/2 - 33*t**4/2 - 51*t**3/2 + 33*t**2/2 + 27*t = 0.
-9, -2, -1, 0, 1
Solve -o**5/6 + 2*o**4 - 19*o**3/3 + 26*o**2/3 - 11*o/2 + 4/3 = 0.
1, 8
Determine v, given that 4*v**2 - 56*v = 0.
0, 14
Find c such that c**4/8 + 39*c**3/8 + 561*c**2/8 + 3509*c/8 + 3993/4 = 0.
-11, -6
Suppose -4*o**4 - 76*o**3 - 240*o**2 = 0. Calculate o.
-15, -4, 0
What is q in -2*q**5/9 + 16*q**4/9 + 220*q**3/9 - 224*q**2 + 198*q = 0?
-11, 0, 1, 9
Let 22*u**2/3 + 2*u = 0. What is u?
-3/11, 0
Factor 2*v**3 - 204*v**2 + 400*v.
2*v*(v - 100)*(v - 2)
Determine t so that 5*t**4 - 25*t**3 - 275*t**2 - 575*t - 330 = 0.
-3, -2, -1, 11
Determi