 6)*(s + 83)/9
Let -3*s**4/8 - 9*s**3/4 + 9*s**2 - 39*s/4 + 27/8 = 0. What is s?
-9, 1
Factor -g**5 + g**4 + 21*g**3 - 45*g**2.
-g**2*(g - 3)**2*(g + 5)
Let 23*k**2 - 48*k + 4 = 0. Calculate k.
2/23, 2
What is f in 2*f**5/5 - 139*f**4/5 - 72*f**3/5 + 139*f**2/5 + 14*f = 0?
-1, -1/2, 0, 1, 70
Find p such that p**4 + 10*p**3 + 20*p**2 - 10*p - 21 = 0.
-7, -3, -1, 1
Factor -3*m**2/5 + 84*m/5 + 387.
-3*(m - 43)*(m + 15)/5
Factor -2*z**2 + 1996*z + 4000.
-2*(z - 1000)*(z + 2)
Determine c so that -c**2/3 - 200*c/3 + 67 = 0.
-201, 1
Factor -2*d**2/7 + 178*d/7 - 1976/7.
-2*(d - 76)*(d - 13)/7
Determine x, given that 4*x**3 + 60*x**2 + 188*x + 132 = 0.
-11, -3, -1
Determine u so that 4*u**2 + 920*u + 52900 = 0.
-115
Let l**5/4 - l**4/2 - l**3/4 + l**2/2 = 0. What is l?
-1, 0, 1, 2
Factor 2*w**2/9 + 16*w/9 + 32/9.
2*(w + 4)**2/9
Factor -2*u**3/7 + 6*u + 40/7.
-2*(u - 5)*(u + 1)*(u + 4)/7
Factor q**4/2 + 3*q**3/2 + q**2/2 - 3*q/2 - 1.
(q - 1)*(q + 1)**2*(q + 2)/2
What is c in c**4/4 - 31*c**3 - 251*c**2/4 - 63*c/2 = 0?
-1, 0, 126
Factor 31250*c**3/3 + 10750*c**2 + 336*c + 8/3.
2*(c + 1)*(125*c + 2)**2/3
Find h such that -2*h**2 - 16*h + 18 = 0.
-9, 1
Let 69*v**4 - 825*v**3 + 1413*v**2 - 627*v - 30 = 0. Calculate v.
-1/23, 1, 10
Factor -2*f**3/9 - 10*f**2/3 - 12*f - 80/9.
-2*(f + 1)*(f + 4)*(f + 10)/9
Solve -3*h**5/4 - 17*h**4/2 + 35*h**3/2 + 15*h**2 - 67*h/4 - 13/2 = 0.
-13, -1, -1/3, 1, 2
Find w such that -2*w**3 - 22*w**2 + 160*w + 1800 = 0.
-10, 9
Factor -3*p**2/7 - 2748*p/7 + 11040/7.
-3*(p - 4)*(p + 920)/7
Solve -3*b**2/2 + 657*b - 143883/2 = 0 for b.
219
Determine m so that -4*m**2 + 784*m - 38416 = 0.
98
Factor 10*r**3 - 225*r**2 + 320*r - 105.
5*(r - 21)*(r - 1)*(2*r - 1)
Suppose -c**5 - 8*c**4/3 + 14*c**3/9 + 16*c**2/9 + c/3 = 0. What is c?
-3, -1/3, 0, 1
Factor -p**2/5 + 291*p - 2906/5.
-(p - 1453)*(p - 2)/5
Solve -27*t**5 + 252*t**4 + 1581*t**3 + 2478*t**2 + 1164*t + 168 = 0.
-2, -1/3, 14
Find y such that 4*y**3 - 16*y**2 - 48*y = 0.
-2, 0, 6
Factor 2*z**3/5 - 74*z**2/5 + 142*z/5 - 14.
2*(z - 35)*(z - 1)**2/5
Factor x**3/2 - 15*x**2/4 + 11*x/2 + 15/4.
(x - 5)*(x - 3)*(2*x + 1)/4
Let -w**3 - 10*w**2 + 23*w - 12 = 0. What is w?
-12, 1
Factor a**2/2 - 420*a + 88200.
(a - 420)**2/2
Factor q**2/9 - 106*q/9 + 505/9.
(q - 101)*(q - 5)/9
Let 2*s**2/5 + 472*s/5 - 952/5 = 0. What is s?
-238, 2
Solve -2*c**5/7 + 116*c**4/7 - 264*c**3 + 1652*c**2 - 3626*c = 0 for c.
0, 7, 37
Find y, given that 4*y**5 - 16*y**4/3 + 4*y**3/3 = 0.
0, 1/3, 1
Factor 3*f**5 + 469*f**4 + 2440*f**3 + 3624*f**2 - 16*f - 2416.
(f + 2)**3*(f + 151)*(3*f - 2)
Factor -2*i**4 - 6318*i**3 - 4986480*i**2 + 4992800*i.
-2*i*(i - 1)*(i + 1580)**2
Find l such that l**2/3 + 244*l - 1468/3 = 0.
-734, 2
Factor -q**2/4 - 175*q - 30625.
-(q + 350)**2/4
Factor -3*x**2 + 239*x/8 + 5/4.
-(x - 10)*(24*x + 1)/8
Factor -50*w**5 + 110*w**4 - 78*w**3 + 18*w**2.
-2*w**2*(w - 1)*(5*w - 3)**2
Determine y so that -4*y**4 - 444*y**3 - 12944*y**2 - 33264*y + 46656 = 0.
-54, -4, 1
Suppose 500*q**4 - 100*q**3 - 1995*q**2 + 400*q - 20 = 0. What is q?
-2, 1/10, 2
Determine f so that f**5 + 15*f**4 - 48*f**3 - 736*f**2 + 3072*f - 2304 = 0.
-12, 1, 4
Factor 5*x**4 + 25*x**3 + 35*x**2 + 15*x.
5*x*(x + 1)**2*(x + 3)
Factor -5*u**2 - 405*u.
-5*u*(u + 81)
Let -2*j**2/5 - 38*j/5 - 36/5 = 0. Calculate j.
-18, -1
Let -4*n**4 + 62*n**3 - 222*n**2 + 272*n - 88 = 0. What is n?
1/2, 2, 11
Find r, given that 2*r**5 + 50*r**4 + 266*r**3 - 874*r**2 - 3796*r - 2704 = 0.
-13, -2, -1, 4
Find m such that 3*m**4 - 246*m**3 + 4524*m**2 + 21414*m + 16641 = 0.
-3, -1, 43
Determine y so that y**5 + 24*y**4 + 89*y**3 - 646*y**2 + 924*y - 392 = 0.
-14, 1, 2
Factor -2*o**2/13 - 10*o/13 - 12/13.
-2*(o + 2)*(o + 3)/13
Determine o so that o**4 - 35*o**3 - 4*o**2 + 140*o = 0.
-2, 0, 2, 35
Determine a, given that 3*a**2/8 - 1449*a/4 - 2901/8 = 0.
-1, 967
Factor -2*j**2 - 126*j + 980.
-2*(j - 7)*(j + 70)
What is d in 3*d**4/4 + 741*d**3/4 + 46125*d**2/4 + 45387*d/4 = 0?
-123, -1, 0
Suppose 3*d**2 + 753*d/4 - 189/4 = 0. What is d?
-63, 1/4
Factor -3*d**3 - 201*d**2 + 624*d - 420.
-3*(d - 2)*(d - 1)*(d + 70)
Factor -7*b**3/5 - 19*b**2/5 - 12*b/5.
-b*(b + 1)*(7*b + 12)/5
Solve -3*d**2 + 75*d - 432 = 0 for d.
9, 16
Factor 2*p**5/7 - 4*p**4 + 120*p**3/7 - 144*p**2/7.
2*p**2*(p - 6)**2*(p - 2)/7
Factor 2*t**2 - 605*t + 302.
(t - 302)*(2*t - 1)
Solve 415*a**2 - 425*a + 10 = 0.
2/83, 1
Factor -2*p**2 + 344*p - 14792.
-2*(p - 86)**2
Suppose 16*y**4/11 - 8*y**3 + 108*y**2/11 - 50*y/11 + 8/11 = 0. What is y?
1/2, 4
Factor 3*k**4 - 27*k**3 + 87*k**2 - 117*k + 54.
3*(k - 3)**2*(k - 2)*(k - 1)
Determine q so that q**3/6 - 2*q**2 + 7*q/2 + 49/3 = 0.
-2, 7
Factor -3*r**4 - 756*r**3 - 67986*r**2 - 2565108*r - 34537347.
-3*(r + 39)**2*(r + 87)**2
Factor 2*a**3/9 - 770*a**2 + 889350*a - 342399750.
2*(a - 1155)**3/9
Factor -n**3/7 + 960*n**2/7 - 307200*n/7 + 32768000/7.
-(n - 320)**3/7
Suppose f**2 + 10*f - 24 = 0. Calculate f.
-12, 2
Suppose -5*m**5 + 40*m**4 + 95*m**3 - 430*m**2 - 300*m + 1080 = 0. Calculate m.
-3, -2, 2, 9
Let 5*k**2 + 5*k - 10 = 0. Calculate k.
-2, 1
Factor 2*i**4 + 12*i**3.
2*i**3*(i + 6)
Let -a**3 - 30*a**2 - 189*a + 220 = 0. What is a?
-20, -11, 1
Factor c**2/6 - 67*c + 13467/2.
(c - 201)**2/6
Factor -t**3/2 + 6*t**2 + 2*t - 24.
-(t - 12)*(t - 2)*(t + 2)/2
Solve o**5/2 + 81*o**4/8 - 155*o**3/8 - 15*o**2/8 + 151*o/8 - 33/4 = 0 for o.
-22, -1, 3/4, 1
Factor -q**5/3 + 34*q**4/3 - 154*q**3 + 3136*q**2/3 - 10633*q/3 + 4802.
-(q - 7)**4*(q - 6)/3
What is i in 3*i**3 + 4*i**2 - 4*i = 0?
-2, 0, 2/3
Suppose -12*d**5 - 64*d**4 - 128*d**3 - 120*d**2 - 52*d - 8 = 0. Calculate d.
-2, -1, -1/3
Determine j, given that 4*j**4 - 1636*j**3 + 1628*j**2 + 1636*j - 1632 = 0.
-1, 1, 408
Let -2*v**2 - 32*v = 0. What is v?
-16, 0
Find c such that 3*c**3 + 132*c**2 + 255*c + 126 = 0.
-42, -1
Factor n**3 - 4*n**2 - 5*n.
n*(n - 5)*(n + 1)
What is t in 4*t**4/7 + 8*t**3/7 - 60*t**2/7 + 16*t/7 + 80/7 = 0?
-5, -1, 2
Solve -i**4/2 - 14*i**3 - 47*i**2/2 + 68*i + 78 = 0.
-26, -3, -1, 2
Solve 4*k**2 + 120*k - 396 = 0 for k.
-33, 3
Suppose 9*n**2/4 + 15*n/2 + 9/4 = 0. Calculate n.
-3, -1/3
Suppose 2*x**3/13 - 8*x**2/13 - 2*x/13 + 8/13 = 0. What is x?
-1, 1, 4
Determine f so that -10*f**4 - 144*f**3 + 254*f**2 - 36*f - 64 = 0.
-16, -2/5, 1
Suppose -4*v**4/7 + 8*v**3/7 + 48*v**2/7 + 8*v + 20/7 = 0. Calculate v.
-1, 5
Factor 16*x**3/7 - 3032*x**2 + 10609*x/7 - 1326/7.
(x - 1326)*(4*x - 1)**2/7
Factor 2*m**3/3 - 1138*m**2/3 + 158998*m/3 + 823690/3.
2*(m - 287)**2*(m + 5)/3
Find t such that -2*t**5/7 + 6*t**4/7 + 34*t**3/7 - 174*t**2/7 + 256*t/7 - 120/7 = 0.
-5, 1, 2, 3
Let -2*p**2/15 - 4*p/15 + 2/5 = 0. Calculate p.
-3, 1
Factor -t**3 - 2*t**2 + 20*t - 24.
-(t - 2)**2*(t + 6)
Factor 3*w**3/4 + 12*w**2 - 51*w/4.
3*w*(w - 1)*(w + 17)/4
Determine x so that -2*x**4 - 40*x**3 + 44*x**2 + 40*x - 42 = 0.
-21, -1, 1
Find v, given that -8*v**5 + 1870*v**4 + 468*v**3 = 0.
-1/4, 0, 234
Let 6*g**3/7 + 3*g**2 - 51*g/7 - 30/7 = 0. Calculate g.
-5, -1/2, 2
Find d such that 2*d**2/3 + 2*d - 260/3 = 0.
-13, 10
Factor -2*k**5 + 28*k**4 - 50*k**3 + 24*k**2.
-2*k**2*(k - 12)*(k - 1)**2
Solve 3*o**3 - 2238*o**2 + 4455*o + 6696 = 0 for o.
-1, 3, 744
Find n such that 6*n**3/5 + 1694*n**2/5 + 23970*n + 39762/5 = 0.
-141, -1/3
Let 3*b**4/7 - 9*b**3/7 + 9*b**2/7 - 3*b/7 = 0. Calculate b.
0, 1
Find s, given that -3*s**5 - 3*s**4 + 15*s**3 + 15*s**2 - 12*s - 12 = 0.
-2, -1, 1, 2
Factor 3*n**2 - 60*n.
3*n*(n - 20)
Factor -2*d**2 - 132*d + 134.
-2*(d - 1)*(d + 67)
Solve -4*g**3/7 + 8*g**2/7 + 52*g/7 + 40/7 = 0.
-2, -1, 5
Factor 2*j**5 + 2*j**4 - 66*j**3 + 118*j**2 - 56*j.
2*j*(j - 4)*(j - 1)**2*(j + 7)
Determine q so that 450*q**5/11 - 5520*q**4/11 + 19898*q**3/11 - 18516*q**2/11 + 3928*q/11 - 240/11 = 0.
2/15, 1, 5, 6
Find x such that x**2 - 14*x + 49 = 0.
7
Solve -t**3/4 - 13*t**2/4 + 243*t/2 - 558 = 0 for t.
-31, 6, 12
Determine v so that -2*v**5 + 78*v**4 - 124*v**3 - 860*v**2 - 1026*v - 370 = 0.
-1, 5, 37
Factor 4*b**5 + 96*b**4 - 24*b**3 - 608*b**2 - 780*b - 288.
4*(b - 3)*(b + 1)**3*(b + 24)
Solve -567*v**5 - 9234*v**4 + 17064*v**3 - 7824*v**2 - 816*v + 864 = 0 for v.
-18, -2/7, 2/3
Factor t**4 + 6*t**3 + 13*t**2 + 12*t + 4.
(t + 1)**2*(t + 2)**2
Factor -g**2/6 + 19*g/2.
-g*(g - 57)/6
Suppose 2*f**4