, 0, 1
Determine h, given that -20*h**3 + 76*h**2 + 916*h + 180 = 0.
-5, -1/5, 9
Solve -3*v**5/2 - 3*v**4/2 + 3*v**3 = 0.
-2, 0, 1
Solve 32*o**3 - 548*o**2 + 68*o = 0.
0, 1/8, 17
Factor -2*t**2/5 + 8*t/5 + 2.
-2*(t - 5)*(t + 1)/5
Find q such that 5*q**4/6 - 11*q**3/3 + 19*q**2/6 + 11*q/3 - 4 = 0.
-1, 1, 2, 12/5
Determine c so that -64*c**4 + 704*c**3 - 1236*c**2 - 4550*c + 2500 = 0.
-2, 1/2, 25/4
Determine q, given that 2*q**5/3 + 4*q**4/3 - 14*q**3/3 + 8*q**2/3 = 0.
-4, 0, 1
Suppose 246*s**2 + 748*s + 30 = 0. What is s?
-3, -5/123
Suppose -2*g**5/3 - 10*g**4/3 - 8*g**3/3 + 32*g**2/3 + 64*g/3 + 32/3 = 0. Calculate g.
-2, -1, 2
Factor 2*h**2/3 + 848*h/3 + 89888/3.
2*(h + 212)**2/3
Let -12*u**3 + 2372*u**2 - 116820*u - 39204 = 0. What is u?
-1/3, 99
Factor -3*j**2/8 + 75*j/8 - 171/4.
-3*(j - 19)*(j - 6)/8
Solve 2*v**4/11 - 12*v**3/11 - 2*v**2/11 + 12*v/11 = 0.
-1, 0, 1, 6
Suppose -4*m**5 - 72*m**4 - 248*m**3 - 352*m**2 - 228*m - 56 = 0. What is m?
-14, -1
Factor 21*o**3 + 3*o**2 - 60*o + 36.
3*(o - 1)*(o + 2)*(7*o - 6)
Factor 5*r**3/2 + 203*r**2/2 - 85*r/2 - 123/2.
(r - 1)*(r + 41)*(5*r + 3)/2
What is r in -3*r**2 - 16941*r + 16944 = 0?
-5648, 1
Factor 2*k**3/5 + 182*k**2/5 - 948*k/5 + 1152/5.
2*(k - 3)*(k - 2)*(k + 96)/5
Suppose 4*u**3 - 72*u**2 - 516*u + 1288 = 0. Calculate u.
-7, 2, 23
Let -t**3/8 - 41*t**2/4 - 2233*t/8 - 2523 = 0. Calculate t.
-29, -24
Determine a so that 2*a**4/3 - 56*a**3/3 + 18*a**2 = 0.
0, 1, 27
Factor 2*i**2/7 - 244*i/7 - 496/7.
2*(i - 124)*(i + 2)/7
Factor o**3/7 + 78*o**2/7 - 855*o/7 + 2200/7.
(o - 5)**2*(o + 88)/7
Factor -2*x**3 + 242*x**2 - 7198*x - 7442.
-2*(x - 61)**2*(x + 1)
Factor 2*l**4/15 - 2888*l**3/15 + 521284*l**2/5 - 376367048*l/15 + 33967126082/15.
2*(l - 361)**4/15
Factor k**5 + 79*k**4 + 230*k**3 + 152*k**2.
k**2*(k + 1)*(k + 2)*(k + 76)
Factor -c**4 + 6*c**3 - 9*c**2 + 4*c.
-c*(c - 4)*(c - 1)**2
Factor 3*d**2 - 36*d + 33.
3*(d - 11)*(d - 1)
Factor -4*w**4/9 - 8*w**3/9 + 8*w/9 + 4/9.
-4*(w - 1)*(w + 1)**3/9
Factor 3*h**3/7 + 108*h**2/7 + 267*h/7 - 990/7.
3*(h - 2)*(h + 5)*(h + 33)/7
Solve -2*b**2 + 160*b - 3200 = 0 for b.
40
Let 4*m**2 - 284*m - 1848 = 0. What is m?
-6, 77
Solve 3*h**2/5 + 627*h/5 - 1908/5 = 0.
-212, 3
Factor 3*v**4 + 33*v**3 - 159*v**2 - 2133*v - 1944.
3*(v - 8)*(v + 1)*(v + 9)**2
Factor -2*b**3/3 + 52*b**2/3 - 338*b/3.
-2*b*(b - 13)**2/3
Find f, given that -3*f**2 - 162*f = 0.
-54, 0
Find l such that 3*l**4 - 6*l**2 + 3 = 0.
-1, 1
Suppose 3*z**5/4 - 15*z**4/4 - 21*z**3/4 + 15*z**2/4 + 9*z/2 = 0. Calculate z.
-1, 0, 1, 6
Factor -x**3/2 - 1905*x**2/2 - 1209675*x/2 - 256047875/2.
-(x + 635)**3/2
Factor t**5/7 + 3*t**4/7 - 4*t**3/7.
t**3*(t - 1)*(t + 4)/7
Suppose 2*p**3/9 - 10*p**2/9 - 4*p/9 + 16/3 = 0. Calculate p.
-2, 3, 4
Solve -14*d**2/5 + 356*d/5 + 208/5 = 0 for d.
-4/7, 26
Determine q so that 2*q**4/9 + 4*q**3 + 16*q**2/9 - 36*q - 34 = 0.
-17, -3, -1, 3
Factor -2*r**4/11 - 2*r**3 + 304*r**2/11.
-2*r**2*(r - 8)*(r + 19)/11
Let q**4 + 23*q**3 - 305*q**2 + 825*q = 0. Calculate q.
-33, 0, 5
What is b in -b**3 - 65*b**2 - 848*b - 3136 = 0?
-49, -8
Factor s**3/2 - 1383*s**2 + 1275126*s - 391888724.
(s - 922)**3/2
Find y such that y**5/3 - 37*y**4/6 + 125*y**3/3 - 370*y**2/3 + 148*y - 48 = 0.
1/2, 2, 4, 6
Factor 5*r**2 - 420*r + 8820.
5*(r - 42)**2
Solve -3*o**2/5 - 84*o - 4608/5 = 0.
-128, -12
Solve z**4/2 - 4*z**3 + 9*z**2 - 27/2 = 0 for z.
-1, 3
Let -5*s**4 - 90*s**3 - 165*s**2 + 1900*s - 2340 = 0. Calculate s.
-13, -9, 2
Factor 5*o**4 - 100*o**3 + 545*o**2 - 90*o - 3240.
5*(o - 9)**2*(o - 4)*(o + 2)
Determine u, given that -2*u**4/13 + 48*u**3/13 - 170*u**2/13 + 204*u/13 - 80/13 = 0.
1, 2, 20
Suppose -3*g**2/8 + 1047*g/4 + 1053 = 0. What is g?
-4, 702
Find l such that -20*l**2 - 24*l + 44 = 0.
-11/5, 1
Find m, given that -m**4/4 - 237*m**3/4 - 4620*m**2 - 113600*m + 384000 = 0.
-80, 3
Factor n**4 - 10*n**3 + 33*n**2 - 40*n + 16.
(n - 4)**2*(n - 1)**2
Determine b, given that -3*b**4 - 99*b**3 - 585*b**2 + 1479*b - 792 = 0.
-24, -11, 1
Solve -2*z**3/11 + 50*z**2/11 + 106*z/11 + 54/11 = 0.
-1, 27
Determine i, given that i**5 + 4*i**4 - 2*i**3 - 12*i**2 + 9*i = 0.
-3, 0, 1
Factor -2*p**3/3 - 494*p**2/3 - 164*p.
-2*p*(p + 1)*(p + 246)/3
Factor -4*g**2/3 + 32*g/3 - 16.
-4*(g - 6)*(g - 2)/3
Find u such that -3*u**4/4 + 261*u**3/4 + 891*u**2/2 - 2541*u + 2790 = 0.
-10, 2, 93
Let -4*k**3/9 - 104*k**2/9 + 620*k/9 = 0. What is k?
-31, 0, 5
Determine c, given that -36*c**4 + 2049*c**3/5 - 2262*c**2/5 - 2292*c/5 + 24 = 0.
-2/3, 1/20, 2, 10
What is y in -2*y**4 + 18*y**3 - 28*y**2 = 0?
0, 2, 7
Factor 3*s**3/4 - 21*s/4 + 9/2.
3*(s - 2)*(s - 1)*(s + 3)/4
Factor j**2/4 - 189*j + 755/4.
(j - 755)*(j - 1)/4
Determine l so that l**2/2 + 11*l - 23/2 = 0.
-23, 1
Factor -25*o**5 + 20*o**4 - 4*o**3.
-o**3*(5*o - 2)**2
Find p, given that 3*p**2/2 + 8418*p + 11810454 = 0.
-2806
Let r**4 - 47*r**3 - 97*r**2 - 49*r = 0. Calculate r.
-1, 0, 49
Factor 3*k**4 - 15*k**3 - 948*k**2 + 960*k.
3*k*(k - 20)*(k - 1)*(k + 16)
Factor -5*f**4 - 60*f**3 - 100*f**2.
-5*f**2*(f + 2)*(f + 10)
Factor -2*x**4 - 22*x**3 - 68*x**2 - 48*x.
-2*x*(x + 1)*(x + 4)*(x + 6)
Suppose -10*g**3 - 15*g**2 + 25*g + 30 = 0. What is g?
-2, -1, 3/2
Factor 15*l**2 - 4026*l + 1350723/5.
3*(5*l - 671)**2/5
Determine o so that -2*o**3/11 - 2*o**2 - 52*o/11 - 32/11 = 0.
-8, -2, -1
Factor w**4/4 - 23*w**3/2 - w**2 + 46*w.
w*(w - 46)*(w - 2)*(w + 2)/4
Factor 5*a**4 - 2930*a**3 + 432165*a**2 - 855560*a + 426320.
5*(a - 292)**2*(a - 1)**2
Factor -4*p**3/7 + 16*p**2 + 1300*p/7 + 1184/7.
-4*(p - 37)*(p + 1)*(p + 8)/7
Determine x so that -x**2 + 1442*x - 519841 = 0.
721
Suppose -2*p**3 + 22*p**2 - 60*p = 0. Calculate p.
0, 5, 6
Factor -f**3/5 - 14*f**2/5 + 4*f/5 + 56/5.
-(f - 2)*(f + 2)*(f + 14)/5
Determine t so that 5*t**3 + 315*t**2 + 595*t - 915 = 0.
-61, -3, 1
Find n such that 2*n**4/11 - 2*n**3/11 = 0.
0, 1
Solve 20*z**4/3 - 308*z**3/3 + 100*z**2/3 + 308*z/3 - 40 = 0 for z.
-1, 2/5, 1, 15
Suppose -z**3 + 20*z**2 - 19*z = 0. Calculate z.
0, 1, 19
Factor 4*b**4/7 + 8*b**3/7 - 4*b**2/7 - 8*b/7.
4*b*(b - 1)*(b + 1)*(b + 2)/7
Factor 2*q**3/5 + 31*q**2/5 - 26*q + 57/5.
(q - 3)*(q + 19)*(2*q - 1)/5
What is x in 2*x**5 - 14*x**4 - 42*x**3 + 38*x**2 + 136*x + 72 = 0?
-2, -1, 2, 9
Factor -w**4/2 + 6*w**3 - 18*w**2.
-w**2*(w - 6)**2/2
Let -4*l**2 - 188*l = 0. Calculate l.
-47, 0
Let 81*q**5/4 + 117*q**4/4 - 152*q**3 - 314*q**2 - 116*q - 12 = 0. Calculate q.
-2, -2/9, 3
Factor 4*j**2 + 11524*j + 11520.
4*(j + 1)*(j + 2880)
Factor i**5 + 83*i**4 + 1915*i**3 + 7917*i**2 + 6084*i.
i*(i + 1)*(i + 4)*(i + 39)**2
Solve 2*k**4/19 - 8*k**3 + 152*k**2 = 0.
0, 38
Factor z**2 - 7*z + 12.
(z - 4)*(z - 3)
Factor -25*v**5 - 620*v**4 - 4084*v**3 - 2976*v**2 - 576*v.
-v*(v + 12)**2*(5*v + 2)**2
Solve 3*q**3 - 810*q**2 + 53856*q + 110976 = 0.
-2, 136
Factor -5*o**3 + 80*o**2 + 85*o.
-5*o*(o - 17)*(o + 1)
Solve 4*x**2 + 72*x - 76 = 0 for x.
-19, 1
Determine a so that a**5/3 + 7*a**4 + 127*a**3/3 + 109*a**2 + 376*a/3 + 52 = 0.
-13, -3, -2, -1
Suppose -b**5/5 + 2*b**4 + 3*b**3/5 - 28*b**2/5 - 4*b = 0. Calculate b.
-1, 0, 2, 10
Factor -p**3 + 19*p**2 + 88*p + 92.
-(p - 23)*(p + 2)**2
What is b in 68694*b**2/5 - 1284*b/5 + 6/5 = 0?
1/107
Factor 2*w**2/9 + 13108*w/9 + 21477458/9.
2*(w + 3277)**2/9
Suppose -34*c**2/3 - 106*c/3 - 4 = 0. Calculate c.
-3, -2/17
Solve -2*q**3/5 + 26*q**2/15 + 272*q/15 - 40 = 0.
-6, 2, 25/3
Determine h so that -23*h**2/3 + 2*h/3 = 0.
0, 2/23
Solve -3*r**2 + 5274*r - 2317923 = 0 for r.
879
Suppose 2*q**5/7 - 34*q**4/7 + 18*q**3/7 + 250*q**2/7 - 428*q/7 + 192/7 = 0. What is q?
-3, 1, 2, 16
Find j such that -4*j**4 + 232*j**3 - 2532*j**2 - 26368*j + 28672 = 0.
-7, 1, 32
Factor -4*s**2 + 60*s - 104.
-4*(s - 13)*(s - 2)
Find n such that 5*n**5 + 30*n**4 + 30*n**3 - 100*n**2 - 195*n - 90 = 0.
-3, -1, 2
Factor -p**2 - p.
-p*(p + 1)
Factor -d**4/3 - 21*d**3 - 486*d**2 - 4860*d - 17496.
-(d + 9)*(d + 18)**3/3
Factor -10*q**3 + 195*q**2 - 575*q + 240.
-5*(q - 16)*(q - 3)*(2*q - 1)
Factor 5*a**3 + 20*a**2 - 1680*a - 14400.
5*(a - 20)*(a + 12)**2
Factor l**4/3 - 12*l**3 + 233*l**2/3 + 90*l.
l*(l - 27)*(l - 10)*(l + 1)/3
Factor -5*d**2 - 115*d - 300.
-5*(d + 3)*(d + 20)
Factor -9*n**4 + 93*n**3 - 204*n**2 - 180*n.
-3*n*(n - 6)*(n - 5)*(3*n + 2)
Factor -2*f**2 - 58*f + 19