 + 1)*(r + 2)
Find b, given that 3*b**5 + 39*b**4 + 183*b**3 + 381*b**2 + 354*b + 120 = 0.
-5, -4, -2, -1
Let -2*x**5 + 102*x**4 - 1446*x**3 + 3746*x**2 - 3552*x + 1152 = 0. Calculate x.
1, 24
Find b such that -b**2 + 73*b - 142 = 0.
2, 71
Factor 7*o**4/2 + 17*o**3 + 45*o**2/2 + 9*o.
o*(o + 1)*(o + 3)*(7*o + 6)/2
Factor 2*m**2/15 - 16*m/3 - 82/15.
2*(m - 41)*(m + 1)/15
Factor 3*q**3 - 150*q**2.
3*q**2*(q - 50)
What is d in 35*d**3 - 710*d**2 + 3700*d - 1000 = 0?
2/7, 10
Factor -2*r**3 + 142*r**2 - 2720*r + 6936.
-2*(r - 34)**2*(r - 3)
Factor 2*p**4/3 - 1510*p**3/3 - 4566*p**2 - 13734*p - 13752.
2*(p - 764)*(p + 3)**3/3
Factor 15*j**3 - 3340*j**2 + 2220*j.
5*j*(j - 222)*(3*j - 2)
Factor -5*a**2 - 425*a.
-5*a*(a + 85)
Factor s**2/11 + 5*s + 516/11.
(s + 12)*(s + 43)/11
Factor 98*p**4/3 + 1288*p**3/3 + 5632*p**2/3 + 8192*p/3.
2*p*(p + 4)*(7*p + 32)**2/3
Determine x, given that 5*x**2 + 820*x - 12460 = 0.
-178, 14
Factor -4*h**5 + 40*h**4 - 120*h**3 + 160*h**2 - 100*h + 24.
-4*(h - 6)*(h - 1)**4
Factor b**3 - 14*b**2 + 43*b - 30.
(b - 10)*(b - 3)*(b - 1)
Factor 3*o**4 + 57*o**3 - 9*o**2 - 177*o - 114.
3*(o - 2)*(o + 1)**2*(o + 19)
Determine c so that 4*c**5 + 120*c**4 - 1320*c**3 + 3200*c**2 - 2940*c + 936 = 0.
-39, 1, 6
Solve 5*o**4 - 45*o**3 + 65*o**2 + 45*o - 70 = 0.
-1, 1, 2, 7
Let -12*h**5/7 + 15*h**4/7 + 33*h**3/7 - 3*h**2 - 3*h + 6/7 = 0. Calculate h.
-1, 1/4, 1, 2
Let -2*r**2/11 + 38*r/11 - 16 = 0. Calculate r.
8, 11
Factor t**3/4 - 31*t**2/4 - 8*t.
t*(t - 32)*(t + 1)/4
Factor -j**2/2 - 36*j - 360.
-(j + 12)*(j + 60)/2
Determine s, given that -9*s**5 - 9*s**4 + 37*s**3 + 37*s**2 - 4*s - 4 = 0.
-2, -1, -1/3, 1/3, 2
What is q in -4*q**2/3 - 4040*q/3 - 1020100/3 = 0?
-505
Find z such that 35*z**5 + 935*z**4 + 1515*z**3 + 365*z**2 - 250*z = 0.
-25, -1, 0, 2/7
Solve 4*x**3/5 - 12*x**2/5 - 8*x = 0 for x.
-2, 0, 5
Let -3*s**5/2 + 63*s**4/2 - 225*s**3/2 - 651*s**2/2 - 180*s = 0. Calculate s.
-1, 0, 8, 15
Suppose 14*i**4 - 130*i**3 + 372*i**2 - 320*i + 64 = 0. Calculate i.
2/7, 1, 4
Factor 2*t**2/5 + 26*t/5 + 24/5.
2*(t + 1)*(t + 12)/5
Factor -11*q**3/2 + 41*q**2/4 - 4*q - 3/4.
-(q - 1)**2*(22*q + 3)/4
Factor -i**4/5 - 47*i**3/5 - 132*i**2/5 + 4*i/5 + 176/5.
-(i - 1)*(i + 2)**2*(i + 44)/5
Solve -2*q**3/9 - 40*q**2/3 - 256*q - 1536 = 0.
-24, -12
Suppose 2*r**3/7 + 180*r**2/7 + 552*r - 8464/7 = 0. What is r?
-46, 2
Factor -5*h**3 + 220*h**2 + 235*h - 450.
-5*(h - 45)*(h - 1)*(h + 2)
Determine l so that -4*l**2 + 48*l - 80 = 0.
2, 10
Let 25*t**4/4 + 155*t**3/4 - 293*t**2/2 + 97*t - 18 = 0. Calculate t.
-9, 2/5, 2
Factor -3*n**4/2 - 88*n**3 - 58*n**2.
-n**2*(n + 58)*(3*n + 2)/2
Factor 5*n**3 - 2355*n**2 - 4745*n + 7095.
5*(n - 473)*(n - 1)*(n + 3)
Factor -2*l**4 + 8*l**3 + 64*l**2.
-2*l**2*(l - 8)*(l + 4)
Suppose -226981*o**3/4 - 78141*o**2/2 - 8967*o - 686 = 0. Calculate o.
-14/61
Let -3*h**2 + 39*h + 204 = 0. Calculate h.
-4, 17
Determine q, given that q**2 + 13480*q + 45427600 = 0.
-6740
Solve -5*l**4 + 6275*l**3 - 2620845*l**2 + 362533465*l + 735600590 = 0.
-2, 419
Solve -3*r**2 + 546*r + 549 = 0.
-1, 183
Determine a, given that -2*a**5/5 + 10*a**4 - 404*a**3/5 + 1028*a**2/5 + 406*a/5 - 1078/5 = 0.
-1, 1, 7, 11
Suppose -2*v**2 - 26*v = 0. Calculate v.
-13, 0
Suppose -k**2/4 + 748*k - 559504 = 0. Calculate k.
1496
Factor -45*u**2 - 960*u - 5120.
-5*(3*u + 32)**2
Factor 5*f**4 - 3*f**3 - 5*f**2 + 3*f.
f*(f - 1)*(f + 1)*(5*f - 3)
Factor 2*a**5 + 10*a**4 + 8*a**3.
2*a**3*(a + 1)*(a + 4)
Factor 3*n**4/5 + 132*n**3/5 - 717*n**2/5 + 882*n/5.
3*n*(n - 3)*(n - 2)*(n + 49)/5
Factor 7442*n**4/3 - 30256*n**3/3 + 10576*n**2 - 1984*n/3 + 32/3.
2*(n - 2)**2*(61*n - 2)**2/3
Let -m**3/3 + 17*m**2/3 + m/3 - 17/3 = 0. Calculate m.
-1, 1, 17
Factor 3*j**2 + 9*j - 54.
3*(j - 3)*(j + 6)
Suppose -2*q**2/19 + 1282*q/19 = 0. What is q?
0, 641
Solve -4*i**3/15 + 2*i**2/3 - 8*i/15 + 2/15 = 0 for i.
1/2, 1
Factor 4*j**3 - 608*j**2 + 604*j.
4*j*(j - 151)*(j - 1)
Let -2*s**5 - 22*s**4 - 48*s**3 + 72*s**2 = 0. What is s?
-6, 0, 1
What is x in -6*x**3 + 70*x**2 - 42*x - 22 = 0?
-1/3, 1, 11
Find h such that 75*h**4 - 2615*h**3 - 5900*h**2 - 740*h = 0.
-2, -2/15, 0, 37
Factor 2*p**5/3 + 914*p**4 + 313730*p**3 + 938450*p**2/3.
2*p**2*(p + 1)*(p + 685)**2/3
Suppose y**2/3 - 13*y = 0. What is y?
0, 39
Find q, given that -q**4 + 2*q**3 + 36*q**2 + 88*q + 64 = 0.
-2, 8
Let 2*b**2/11 - 368*b/11 - 370/11 = 0. Calculate b.
-1, 185
Find r such that -2*r**4/5 + 46*r**3/5 + 528*r**2/5 + 1504*r/5 + 1024/5 = 0.
-4, -1, 32
Factor -o**5/6 - 11*o**4/3 - 193*o**3/6 - 422*o**2/3 - 920*o/3 - 800/3.
-(o + 4)**3*(o + 5)**2/6
What is w in w**3 - 5*w**2 - 2*w + 24 = 0?
-2, 3, 4
Let -2*m**4/5 - 42*m**3/5 - 38*m**2/5 + 42*m/5 + 8 = 0. Calculate m.
-20, -1, 1
Factor -5*f**4 + 35*f**3 + 190*f**2 - 1740*f + 2520.
-5*(f - 6)**2*(f - 2)*(f + 7)
Suppose 2*y**4 + 12*y**3 - 50*y**2 + 36*y = 0. Calculate y.
-9, 0, 1, 2
Factor 10588516*r**2/7 + 26032*r/7 + 16/7.
4*(1627*r + 2)**2/7
What is n in -14*n**3 + 2794*n**2 + 1200*n = 0?
-3/7, 0, 200
Let 8*a**4 - 6*a**3 - 24*a**2 + 34*a - 12 = 0. Calculate a.
-2, 3/4, 1
Factor -4*k**5 + 44*k**4 - 40*k**3 - 424*k**2 - 532*k - 196.
-4*(k - 7)**2*(k + 1)**3
Factor 2*m**3/13 + 32*m**2/13 - 22*m/13 - 1452/13.
2*(m - 6)*(m + 11)**2/13
Factor -5*k**3 - 80*k**2 - 65*k + 150.
-5*(k - 1)*(k + 2)*(k + 15)
Determine i, given that i**2/4 - 2289*i/2 + 5239521/4 = 0.
2289
Find v, given that -9*v**3/5 + 114*v**2/5 - 171*v/5 + 66/5 = 0.
2/3, 1, 11
Suppose -4*m**4/3 + 52*m**3/3 - 212*m**2/3 + 332*m/3 - 56 = 0. What is m?
1, 2, 3, 7
Determine b, given that -3*b**3 - 3*b**2 + 15*b - 9 = 0.
-3, 1
Factor -n**3/7 + n**2/7 + 10*n/7 + 8/7.
-(n - 4)*(n + 1)*(n + 2)/7
What is c in -2*c**2/5 - 6*c/5 - 4/5 = 0?
-2, -1
Determine s, given that 2*s**3/15 - 22*s**2/5 - 212*s/15 - 48/5 = 0.
-2, -1, 36
Factor -2*p**3 + 16*p**2 + 18*p.
-2*p*(p - 9)*(p + 1)
Suppose -g**5/2 + g**4 + 11*g**3 - 34*g**2 + 3*g/2 + 45 = 0. What is g?
-5, -1, 2, 3
Factor c**3/7 - 122*c**2/7 + 4161*c/7 - 25992/7.
(c - 57)**2*(c - 8)/7
Solve 2*y**2 - 658*y - 1324 = 0.
-2, 331
Let -j**3/3 + 36*j**2 + 37*j - 218/3 = 0. Calculate j.
-2, 1, 109
Factor 3*l**2 - 1062*l + 1059.
3*(l - 353)*(l - 1)
Determine i, given that -22*i**4 - 4558*i**3 - 9870*i**2 - 6154*i - 820 = 0.
-205, -1, -2/11
Let -2*n**4/3 + 36*n**3 - 280*n**2 + 1364*n/3 - 210 = 0. What is n?
1, 7, 45
Suppose -2*d**5/3 + 8*d**4 - 86*d**3/3 + 24*d**2 + 88*d/3 - 32 = 0. What is d?
-1, 1, 2, 4, 6
Determine q so that 9*q**2/7 + 12*q + 27/7 = 0.
-9, -1/3
Factor -3*w**2 - 3597*w - 3594.
-3*(w + 1)*(w + 1198)
Factor x**4/5 - 119*x**3/5 + 47*x**2 - 117*x/5.
x*(x - 117)*(x - 1)**2/5
Factor -h**3 + 9*h**2 + h - 9.
-(h - 9)*(h - 1)*(h + 1)
Let -15*r**3 - 196*r**2 + 437*r + 30 = 0. Calculate r.
-15, -1/15, 2
Factor -v**3/6 - 35*v**2/6 - 16*v/3 + 34/3.
-(v - 1)*(v + 2)*(v + 34)/6
Find d, given that d**2/6 - 22*d/3 + 43/6 = 0.
1, 43
What is w in -2*w**5/13 - 34*w**4/13 - 110*w**3/13 - 6*w**2 = 0?
-13, -3, -1, 0
Suppose -5*t**4 - 60*t**3 - 50*t**2 + 60*t + 55 = 0. Calculate t.
-11, -1, 1
Factor 2*w**4/11 - 8*w**3/11 - 182*w**2/11 + 980*w/11.
2*w*(w - 7)**2*(w + 10)/11
Factor -a**5/3 - 28*a**4 - 1846*a**3/3 - 1148*a**2 - 1681*a/3.
-a*(a + 1)**2*(a + 41)**2/3
Factor 4*q**3/3 - 8*q**2 - 16*q/3 + 32.
4*(q - 6)*(q - 2)*(q + 2)/3
Factor 5*l**5 - 240*l**4 + 1905*l**3 - 6070*l**2 + 8700*l - 4680.
5*(l - 39)*(l - 3)*(l - 2)**3
Solve 3*x**4 + 129*x**3 + 1449*x**2 + 1323*x = 0.
-21, -1, 0
Factor 2*x**2/3 + 211*x/3 - 106/3.
(x + 106)*(2*x - 1)/3
Determine l, given that 2*l**4 - 8*l**3 + 10*l**2 - 4*l = 0.
0, 1, 2
Determine j so that 2*j**3/7 + 164*j**2/7 + 158*j/7 - 324/7 = 0.
-81, -2, 1
Let -2*b**5/9 - 4*b**4/3 - 2*b**3/9 + 8*b**2 + 40*b/9 - 32/3 = 0. Calculate b.
-4, -3, -2, 1, 2
Factor 3*j**3 + 69*j**2 - 150*j.
3*j*(j - 2)*(j + 25)
Find d such that -2*d**3/11 + 142*d**2/11 + 832*d + 10120 = 0.
-22, 115
Suppose 2*h**2 + 1688*h + 356168 = 0. Calculate h.
-422
Solve -m**5 - 77*m**4/3 - 478*m**3/3 + 82*m**2 + 481*m/3 - 169/3 = 0 for m.
-13, -1, 1/3, 1
What is f in f**5 + 247*f**4 + 243*f**3 - 743*f**2 - 1232*f - 492 = 0?
-246, -1, 2
Solve 2*g**4 + 22*g**3 + 62*g**2 + 42*g = 0.
-7, -3, -1, 0
Suppose -2*z**3/7 + 10*z**2/7 + 16*z/7 - 24/7 = 0. What is z?
-2, 1, 6
Solve 16*o**2 + 490*o - 186 = 0 for o.
-31,