l, given that 2*l**2/11 + 400*l/11 + 398/11 = 0.
-199, -1
Solve 16*m**3 + 10840*m**2 + 5417*m + 677 = 0 for m.
-677, -1/4
Suppose 3*c**3/5 - 3*c**2/5 = 0. Calculate c.
0, 1
Suppose 2*t**5/9 - 8890*t**4/3 + 15806420*t**3 - 42155722140*t**2 + 56214655473690*t - 29984897229666246 = 0. Calculate t.
2667
Suppose 4*w**2 - 128*w + 540 = 0. What is w?
5, 27
Factor 3*g**4/5 + 246*g**3/5 - 1569*g**2/5 + 264*g.
3*g*(g - 5)*(g - 1)*(g + 88)/5
Factor -4*y**4 - 72*y**3 - 388*y**2 - 576*y - 256.
-4*(y + 1)**2*(y + 8)**2
Factor -f**5/4 - 153*f**4/8 - 741*f**3/2 - 361*f**2/2.
-f**2*(f + 38)**2*(2*f + 1)/8
Solve -m**3/2 + 4*m**2 - 8*m = 0 for m.
0, 4
What is y in 5*y**2 + 95*y + 390 = 0?
-13, -6
Solve -2*x**4 - 29*x**3/2 + 34*x**2 + 39*x/2 - 27 = 0.
-9, -1, 3/4, 2
Find w such that 2*w**5 - 2*w**4 - 10*w**3 - 6*w**2 = 0.
-1, 0, 3
Factor 4*c**5 + 16*c**4 - 56*c**3 - 288*c**2 - 108*c + 432.
4*(c - 4)*(c - 1)*(c + 3)**3
Determine c so that -c**2/8 + 5*c/4 = 0.
0, 10
Suppose -9*n**3 - 2355*n**2 - 10818*n - 6168 = 0. What is n?
-257, -4, -2/3
What is c in 42*c**2 + 1672*c - 320 = 0?
-40, 4/21
Factor b**3/3 - 7*b**2 + 35*b/3 + 19.
(b - 19)*(b - 3)*(b + 1)/3
Determine o so that -o**2/10 + 74*o/5 + 149/10 = 0.
-1, 149
What is g in 8*g**4/5 + 194*g**3/5 + 1288*g**2/5 + 1366*g/5 + 264/5 = 0?
-12, -11, -1, -1/4
Suppose x**4/10 - 3*x**3/10 - 3*x**2/5 + 14*x/5 - 12/5 = 0. What is x?
-3, 2
Factor -2*j**2/9 - 142*j/3 - 424/9.
-2*(j + 1)*(j + 212)/9
Factor -3*s**2 + 987*s + 2988.
-3*(s - 332)*(s + 3)
Suppose f**4/5 + 31*f**3/5 + 253*f**2/5 + 33*f - 90 = 0. What is f?
-15, -2, 1
Let -x**4/9 - x**3/3 + x**2 + 23*x/9 + 4/3 = 0. What is x?
-4, -1, 3
Suppose -3*b**3/4 - 651*b**2/4 - 34989*b/4 + 35643/4 = 0. Calculate b.
-109, 1
Factor -2*q**3 + 8*q**2 + 8*q - 32.
-2*(q - 4)*(q - 2)*(q + 2)
Factor 5*t**2/3 + 121*t/3.
t*(5*t + 121)/3
Factor 5*c**2 - 67530*c + 228015045.
5*(c - 6753)**2
Factor -3*a**2/2 - 312*a - 16224.
-3*(a + 104)**2/2
Factor k**5/2 + k**4 - 12*k**3.
k**3*(k - 4)*(k + 6)/2
Factor -v**3/5 - 9*v**2/5 - 2*v/5 + 48/5.
-(v - 2)*(v + 3)*(v + 8)/5
Find n, given that n**5/5 + 18*n**4/5 - 37*n**3/5 - 58*n**2 + 948*n/5 - 152 = 0.
-19, -5, 2
Suppose k**2/2 - 117*k/2 + 58 = 0. Calculate k.
1, 116
Determine w, given that 3*w**5/2 + 49*w**4/8 - w**3 - 193*w**2/8 - 20*w - 3/2 = 0.
-3, -2, -1, -1/12, 2
Let 2*x**5/15 - 4*x**4/15 - 2*x**3/3 + 4*x**2/3 + 8*x/15 - 16/15 = 0. What is x?
-2, -1, 1, 2
Factor l**5/7 + 8*l**4/7 + 6*l**3/7 - 8*l**2/7 - l.
l*(l - 1)*(l + 1)**2*(l + 7)/7
Let 324*b**4 - 12492*b**3 + 18376*b**2 + 10032*b + 1184 = 0. What is b?
-2/9, 2, 37
Solve -q**2/6 + 17*q + 333/2 = 0 for q.
-9, 111
Factor -y**3 + 337*y**2 - 336*y.
-y*(y - 336)*(y - 1)
Let -2*j**3 - 9*j**2 - 10*j - 3 = 0. What is j?
-3, -1, -1/2
Determine z so that -50*z**2 - 44*z + 6 = 0.
-1, 3/25
Determine d, given that 2*d**4 + 38*d**3/3 + 64*d**2/3 + 32*d/3 = 0.
-4, -4/3, -1, 0
Factor 4*i**4 - 1584*i**3 + 1576*i**2 + 1584*i - 1580.
4*(i - 395)*(i - 1)**2*(i + 1)
Factor -4*k**3 + 112*k**2 - 108*k.
-4*k*(k - 27)*(k - 1)
Solve -p**4/5 - 3*p**3/5 = 0 for p.
-3, 0
Factor -125*a**3 + 75*a**2 + 20*a - 12.
-(5*a - 3)*(5*a - 2)*(5*a + 2)
Factor 5*v**4 - 20*v**3 - 190*v**2 - 300*v - 135.
5*(v - 9)*(v + 1)**2*(v + 3)
Find h, given that 4*h**5 + 34*h**4 + 52*h**3 - 54*h**2 - 36*h = 0.
-6, -3, -1/2, 0, 1
Solve -3*a**3 - 12*a**2 + 165*a - 150 = 0 for a.
-10, 1, 5
Factor 74*c**3/9 - 4*c**2/9 - 74*c/9 + 4/9.
2*(c - 1)*(c + 1)*(37*c - 2)/9
Factor 5*o**2/6 + 485*o/6 + 475/3.
5*(o + 2)*(o + 95)/6
Find p such that -4*p**5/5 - 6*p**4/5 + 24*p**3/5 + 4*p**2/5 - 36*p/5 + 18/5 = 0.
-3, -3/2, 1
Determine u so that -676*u**5 + 936*u**4 + 768*u**3 + 128*u**2 = 0.
-4/13, 0, 2
Factor -l**4/4 + 5*l**3/4 - 3*l**2/2 - l + 2.
-(l - 2)**3*(l + 1)/4
Factor 2*s**3 - 30*s**2 - 200*s.
2*s*(s - 20)*(s + 5)
Suppose -5*y**2 - 15*y - 10 = 0. Calculate y.
-2, -1
Factor g**5 + 43*g**4.
g**4*(g + 43)
Determine y, given that -5*y**2 - 10*y = 0.
-2, 0
Let -54*x**4 + 6*x**3 + 368*x**2 - 376*x + 96 = 0. Calculate x.
-3, 4/9, 2/3, 2
Find w such that 2*w**5/11 - 6*w**4/11 - 4*w**3/11 + 24*w**2/11 - 16*w/11 = 0.
-2, 0, 1, 2
Find c, given that -2*c**3 + 1004*c**2 - 127000*c + 250000 = 0.
2, 250
Find a such that 2*a**3/5 + 26*a**2/5 - 12*a = 0.
-15, 0, 2
What is j in -j**2/3 - 7*j = 0?
-21, 0
Determine j so that -2*j**5/3 - 52*j**4/3 + 20*j**3 + 160*j**2/3 - 58*j/3 - 36 = 0.
-27, -1, 1, 2
Let -t**4/3 - 3*t**3 - 14*t**2/3 = 0. What is t?
-7, -2, 0
Factor u**2/6 - 21*u - 128/3.
(u - 128)*(u + 2)/6
Factor -7628418*f**2/13 + 15624*f/13 - 8/13.
-2*(1953*f - 2)**2/13
Factor 4*j**5/9 + 52*j**4/9 + 196*j**3/9 + 316*j**2/9 + 232*j/9 + 64/9.
4*(j + 1)**3*(j + 2)*(j + 8)/9
Factor 5*s**2 - 65*s - 70.
5*(s - 14)*(s + 1)
Find k, given that 3*k**2 + 7041*k - 7044 = 0.
-2348, 1
Determine y, given that 2*y**3/11 - 306*y**2/11 + 11856*y/11 - 11552/11 = 0.
1, 76
Factor -2*p**3/9 - 1202*p**2/9 - 179998*p/9 + 181202/9.
-2*(p - 1)*(p + 301)**2/9
Factor n**2/9 - 1480*n/9 + 547600/9.
(n - 740)**2/9
Factor 2*g**3 + 40*g**2 + 178*g - 220.
2*(g - 1)*(g + 10)*(g + 11)
Factor -d**3/4 + 203*d**2/2 - 202*d.
-d*(d - 404)*(d - 2)/4
Solve 22*i**2 - 182*i - 144 = 0 for i.
-8/11, 9
Suppose -2*w**5/5 - 12*w**4/5 + 8*w**3/5 + 132*w**2/5 + 18*w - 216/5 = 0. What is w?
-4, -3, 1, 3
Find r such that -18*r**4 + 88*r**3 + 34*r**2/3 - 20*r/3 = 0.
-1/3, 0, 2/9, 5
What is t in -t**2 - 45*t - 324 = 0?
-36, -9
Suppose 2*y**2 + 118*y - 120 = 0. What is y?
-60, 1
Determine b so that -64*b**4 + 416*b**3 - 996*b**2 + 1040*b - 400 = 0.
5/4, 2
Suppose h**2 + 67*h - 600 = 0. Calculate h.
-75, 8
Let 4*u**2 - 744*u - 3040 = 0. What is u?
-4, 190
Factor -j**4 - 5*j**3/2 - j**2/2 + j.
-j*(j + 1)*(j + 2)*(2*j - 1)/2
Find d such that -4*d**4 - 500*d**3 - 15348*d**2 + 18900*d + 95256 = 0.
-63, -2, 3
Suppose 2*k**3 + 32*k**2 + 30*k = 0. What is k?
-15, -1, 0
Find h such that 12*h**3/5 + 3567*h**2/5 + 52746*h - 199809/5 = 0.
-149, 3/4
Determine k so that -k**2 - 273*k = 0.
-273, 0
Factor -x**2/3 - 1568*x/3 - 614656/3.
-(x + 784)**2/3
Factor 5*w**2 - 355*w - 730.
5*(w - 73)*(w + 2)
Factor -z**2/4 + 16*z + 185.
-(z - 74)*(z + 10)/4
Find v, given that 7*v**3/8 - 33*v**2/8 - 27*v/2 - 7/2 = 0.
-2, -2/7, 7
Factor 132*a**2 + 8*a.
4*a*(33*a + 2)
Factor 6*p**5 - 26*p**4 + 44*p**3 - 36*p**2 + 14*p - 2.
2*(p - 1)**4*(3*p - 1)
What is v in 2*v**3 - 2690*v**2 - 2696*v + 5384 = 0?
-2, 1, 1346
Factor 2*b**2 - 8*b - 90.
2*(b - 9)*(b + 5)
Factor -5*j**4 - 330*j**3 - 3705*j**2 - 3380*j.
-5*j*(j + 1)*(j + 13)*(j + 52)
Factor -s**4 - s**3 + 43*s**2 + 85*s + 42.
-(s - 7)*(s + 1)**2*(s + 6)
Factor -5*k**2.
-5*k**2
Find y, given that -250*y**4/9 + 14200*y**3/9 + 1920*y**2 + 6944*y/9 + 928/9 = 0.
-2/5, 58
Factor -18*z**3 - 1564*z**2/5 + 128*z.
-2*z*(5*z - 2)*(9*z + 160)/5
Let -2*t**4 + 10*t**3 - 18*t**2 + 14*t - 4 = 0. What is t?
1, 2
Find h such that 3*h**2/2 + 228*h - 459/2 = 0.
-153, 1
Factor 3*g**3 - 56*g**2 + 176*g.
g*(g - 4)*(3*g - 44)
Factor k**2 + 15*k + 44.
(k + 4)*(k + 11)
What is t in 3*t**2 - 825*t = 0?
0, 275
Solve 4*w**4 - 20*w**3 + 36*w**2 - 28*w + 8 = 0 for w.
1, 2
Solve 34*i**4/15 - 236*i**3/15 + 106*i**2/3 - 376*i/15 - 8/5 = 0.
-1/17, 2, 3
Factor 2*x**2 + 20*x - 192.
2*(x - 6)*(x + 16)
Let -2*u**5 - 134*u**4 - 130*u**3 + 134*u**2 + 132*u = 0. Calculate u.
-66, -1, 0, 1
Suppose -3*t**2/8 - 51*t/2 + 105/2 = 0. Calculate t.
-70, 2
Factor u**3 + 12333*u**2 + 50700963*u + 69477219631.
(u + 4111)**3
Factor -4*f**2 - 808*f - 40804.
-4*(f + 101)**2
Solve l**3/4 - 3*l**2/4 - 33*l/4 + 35/4 = 0.
-5, 1, 7
Factor -a**5/5 + 139*a**4/5 - 1296*a**3 + 102856*a**2/5 - 59248*a/5 - 584016/5.
-(a - 46)**3*(a - 3)*(a + 2)/5
Factor -m**3 - 59*m**2 + 3560*m - 39600.
-(m - 20)**2*(m + 99)
Find d, given that -d**4/2 + 14*d**3 + 23*d**2 - 254*d + 435/2 = 0.
-5, 1, 3, 29
Solve g**3/5 - 1266*g**2/5 + 400689*g/5 = 0.
0, 633
Solve 3*j**4 + 6*j**3 - 36*j**2 + 42*j - 15 = 0.
-5, 1
Factor 4*n**4 - 10*n**3 - 42*n**2 - 38*n - 10.
2*(n - 5)*(n + 1)**2*(2*n + 1)
Factor -3*i**5 + 6*i**3 - 3*i.
-3*i*(i - 1)**2*(i + 1)**2
Let -2*j**5/7 - 10*j**4/7 + 4*j**3 - 4*j**2/7 - 26*j/7 + 2 = 0. Calculate j.
-7, -1, 1
Determine a, given that 2*a**2 - 136*a + 2310 = 0.
33, 35
Let -r**3/3 + 23*r**2/6 + 62*r/3 = 0. Calculate r.
-4, 0, 31/2
What is q in -3*q**4/5 - 13*q**3 - 25