11)/6
What is p in p**3/2 + 23*p**2/2 + 107*p/2 + 85/2 = 0?
-17, -5, -1
Let 5*k**5 + 30*k**4 + 30*k**3 - 100*k**2 - 195*k - 90 = 0. Calculate k.
-3, -1, 2
Factor -5*d**2 + 305*d + 310.
-5*(d - 62)*(d + 1)
Let 2*g**4/17 + 18*g**3/17 + 50*g**2/17 + 54*g/17 + 20/17 = 0. Calculate g.
-5, -2, -1
Factor 4*q**3/5 - 8*q**2 + 116*q/5 - 16.
4*(q - 5)*(q - 4)*(q - 1)/5
Find k such that 2*k**5/9 + 2*k**4/9 - 4*k**3/3 + 4*k**2/9 + 10*k/9 - 2/3 = 0.
-3, -1, 1
Solve 10*n**4 - 78*n**3/7 - 420*n**2 + 344*n/7 + 48 = 0.
-6, -2/7, 2/5, 7
Factor 7*x**3/8 - 13*x**2/4 + 31*x/8 - 3/2.
(x - 1)**2*(7*x - 12)/8
Factor -2*i**3 - 46*i**2 - 44*i.
-2*i*(i + 1)*(i + 22)
Determine z so that z**4/5 - 33*z**3/5 + 26*z**2/5 + 192*z/5 = 0.
-2, 0, 3, 32
Solve -v**4 + 63*v**3 - 820*v**2 - 5508*v - 4624 = 0.
-4, -1, 34
Factor -3*x**3/2 - 41*x**2/4 - 39*x/2 - 10.
-(x + 2)*(x + 4)*(6*x + 5)/4
Suppose 12*c**5 - 28*c**4 - 36*c**3 + 28*c**2 + 24*c = 0. What is c?
-1, -2/3, 0, 1, 3
What is o in 2*o**4 + 538*o**3 + 35910*o**2 - 36450*o = 0?
-135, 0, 1
Find c, given that 3*c**4/5 + 54*c**3/5 - 12*c**2/5 - 216*c/5 = 0.
-18, -2, 0, 2
Factor 4*v**3 - 48*v**2 - 60*v + 104.
4*(v - 13)*(v - 1)*(v + 2)
Factor -s**5 + 6*s**4 + 8*s**3 - 6*s**2 - 7*s.
-s*(s - 7)*(s - 1)*(s + 1)**2
Factor -309*t**3/2 + 3087*t**2/4 + 15*t/4.
-3*t*(t - 5)*(206*t + 1)/4
Factor 2*f**3 + 1684*f**2 + 356160*f + 705600.
2*(f + 2)*(f + 420)**2
Let 2*q**3/5 - 6*q**2 - 234*q/5 - 378/5 = 0. What is q?
-3, 21
Determine b so that 4*b**2 - 344*b - 348 = 0.
-1, 87
Let b**5 - 13*b**4/3 + 4*b**3/3 = 0. Calculate b.
0, 1/3, 4
Factor -4*p**4 - 20064*p**3 - 37740384*p**2 - 31550961024*p - 9891226281024.
-4*(p + 1254)**4
Determine b so that -b**4/2 + b**3 + 3*b**2/2 = 0.
-1, 0, 3
Find d, given that -14*d**2 + 1248*d - 194688/7 = 0.
312/7
Suppose 612*r**4 - 9456*r**3 - 5356*r**2 - 328*r + 128 = 0. Calculate r.
-1/3, 2/17, 16
Factor a**3 - 125*a**2 - 777*a - 1179.
(a - 131)*(a + 3)**2
Find x, given that -2*x**3 + 80*x**2 + 442*x + 360 = 0.
-4, -1, 45
Factor 2*d**3/3 - 8*d**2/3 + 10*d/3 - 4/3.
2*(d - 2)*(d - 1)**2/3
What is h in h**4 - 19*h**3 - 20*h**2 = 0?
-1, 0, 20
Factor -j**5 - 3*j**4 + 6*j**3 + 8*j**2.
-j**2*(j - 2)*(j + 1)*(j + 4)
Determine p so that 3*p**3 - 168*p**2 - 1092*p - 1488 = 0.
-4, -2, 62
Factor 3*z**2 + 1032*z + 88752.
3*(z + 172)**2
Factor 2*f**5 - 4*f**4 - 6*f**3.
2*f**3*(f - 3)*(f + 1)
Suppose -2*i**2 + 16*i + 768 = 0. What is i?
-16, 24
Factor -3*c**2/4 + 1005*c/4 + 252.
-3*(c - 336)*(c + 1)/4
Factor 2*r**3/11 - 168*r**2/11.
2*r**2*(r - 84)/11
Find x, given that -x**4/3 - 11*x**3 - 32*x**2/3 = 0.
-32, -1, 0
Factor -4*m**4/7 + 1056*m**3/7 - 71776*m**2/7 + 274560*m/7 - 270400/7.
-4*(m - 130)**2*(m - 2)**2/7
Suppose 4*h**2/5 + 100*h + 496/5 = 0. Calculate h.
-124, -1
Factor -25*n**3 + 1160*n**2 - 13685*n + 5290.
-5*(n - 23)**2*(5*n - 2)
Factor 36*r**3 + 4868*r**2 - 8784*r - 2192.
4*(r - 2)*(r + 137)*(9*r + 2)
What is y in -5*y**4 - 230*y**3 - 2140*y**2 + 230*y + 2145 = 0?
-33, -13, -1, 1
Factor 159*o**2/5 - 2*o/5.
o*(159*o - 2)/5
Determine t, given that -3*t**4/5 - 186*t**3/5 - 3063*t**2/5 - 1116*t - 540 = 0.
-30, -1
Find q such that -3*q**5/5 - 411*q**4/5 - 162*q**3 + 6*q**2/5 + 813*q/5 + 81 = 0.
-135, -1, 1
Let 2*n**5/11 - 10*n**4/11 + 14*n**3/11 + 2*n**2/11 - 16*n/11 + 8/11 = 0. What is n?
-1, 1, 2
Factor -3*v**2 + 162*v + 165.
-3*(v - 55)*(v + 1)
Solve -g**4 - 60*g**3 = 0 for g.
-60, 0
What is w in -2*w**2/3 - 212*w = 0?
-318, 0
Factor j**5/5 - 14*j**4/5 + 49*j**3/5.
j**3*(j - 7)**2/5
Suppose g**3 - 17*g**2 - 37*g - 19 = 0. Calculate g.
-1, 19
Determine p, given that -p**3 - 44*p**2 - 84*p = 0.
-42, -2, 0
Solve a**3 + 16*a**2 + 71*a + 56 = 0 for a.
-8, -7, -1
Factor -4*s**2 - 184*s + 188.
-4*(s - 1)*(s + 47)
Factor 20*a**2 + 52*a - 24.
4*(a + 3)*(5*a - 2)
Solve -20*v**4 + 620*v**3 - 5105*v**2 + 4650*v - 1125 = 0.
1/2, 15
Factor 3*z**4 - 36*z**3 - 243*z**2 - 204*z.
3*z*(z - 17)*(z + 1)*(z + 4)
What is s in 20*s**4 + 352*s**3 + 976*s**2 - 448*s = 0?
-14, -4, 0, 2/5
Suppose 2*w**4/19 - 12*w**3/19 + 44*w/19 + 30/19 = 0. Calculate w.
-1, 3, 5
Factor 3*n**3/7 + 15*n**2 + 858*n/7.
3*n*(n + 13)*(n + 22)/7
Factor 7*z**2 - 14425*z - 4122.
(z - 2061)*(7*z + 2)
Find c such that -2*c**3 - 256*c**2 - 8442*c - 15876 = 0.
-63, -2
Factor 2*s**3/3 - 128*s**2/3 - 398*s/3 - 268/3.
2*(s - 67)*(s + 1)*(s + 2)/3
Let -3*r**3 + 6*r**2 + 9*r = 0. What is r?
-1, 0, 3
Determine y, given that y**3 + 7*y**2 + 14*y + 8 = 0.
-4, -2, -1
Factor r**3 + 14*r**2 - 15*r.
r*(r - 1)*(r + 15)
Factor -14*q**2/3 + 626*q/3 + 60.
-2*(q - 45)*(7*q + 2)/3
What is p in -3*p**3 - 2232*p**2 - 13311*p - 19926 = 0?
-738, -3
Factor -3*n**3/5 - 6*n**2 + 69*n/5 - 36/5.
-3*(n - 1)**2*(n + 12)/5
Solve 54*r**4 - 266*r**3 + 142*r**2 + 498*r + 36 = 0 for r.
-1, -2/27, 3
Factor 3*q**2 + 1983*q + 1980.
3*(q + 1)*(q + 660)
Find q such that 4*q**5 - 1432*q**4 + 171360*q**3 - 6910568*q**2 + 6740636*q = 0.
0, 1, 119
Factor 5*g**4 + 195*g**3 - 1100*g**2.
5*g**2*(g - 5)*(g + 44)
Determine q, given that 3*q**5 + 9*q**4 - 228*q**3 - 1008*q**2 + 864*q + 3888 = 0.
-6, -2, 2, 9
Find b, given that 4*b**3 + 548*b**2 - 13508*b + 76956 = 0.
-159, 11
Let -2*p**2 + 3740*p - 1748450 = 0. Calculate p.
935
Find v, given that 3*v**4 + 39*v**3 + 105*v**2 - 39*v - 108 = 0.
-9, -4, -1, 1
Find u, given that -2*u**4/17 - 1816*u**3/17 + 5460*u**2/17 - 5464*u/17 + 1822/17 = 0.
-911, 1
Find i, given that -5*i**5 + 35*i**4 - 90*i**3 + 100*i**2 - 40*i = 0.
0, 1, 2
Factor -2*n**2/5 - 2016*n/5 - 508032/5.
-2*(n + 504)**2/5
Factor -5*a**2 - 3250*a - 3245.
-5*(a + 1)*(a + 649)
Let 8*y**4/11 + 190*y**3/11 - 248*y**2/11 + 50*y/11 = 0. What is y?
-25, 0, 1/4, 1
Find v such that v**4/2 - 8*v**3 - 27*v**2 - 28*v - 19/2 = 0.
-1, 19
Find w, given that -4*w**2 + 652*w = 0.
0, 163
Factor 4*n**2/3 + 104*n/3 - 224/3.
4*(n - 2)*(n + 28)/3
Determine o, given that o**5/4 - 31*o**4/2 + 415*o**3/2 + 1007*o**2 + 5313*o/4 + 1089/2 = 0.
-2, -1, 33
Determine d, given that d**5/5 + 9*d**4/5 - 48*d**3/5 + 52*d**2/5 = 0.
-13, 0, 2
Suppose -f**2 - 177*f = 0. What is f?
-177, 0
Determine b, given that 3*b**4 + 33*b**3 + 126*b**2 + 192*b + 96 = 0.
-4, -2, -1
Factor -2*z**2 + 32.
-2*(z - 4)*(z + 4)
Factor 3*w**4/4 - 117*w**3/4 + 324*w**2 - 729*w.
3*w*(w - 18)**2*(w - 3)/4
Let -10*c**5/7 - 194*c**4/7 - 60*c**3 - 28*c**2 + 142*c/7 + 102/7 = 0. Calculate c.
-17, -1, 3/5
Factor 2*v**4/11 - 4*v**3/11 - 16*v**2/11.
2*v**2*(v - 4)*(v + 2)/11
Solve -4*z**3 - 60*z**2 - 200*z = 0.
-10, -5, 0
Factor -d**5/2 + 17*d**4/2 - 47*d**3 + 95*d**2 - 161*d/2 + 49/2.
-(d - 7)**2*(d - 1)**3/2
Factor 4*y**2/7 - 7160*y/7 + 3204100/7.
4*(y - 895)**2/7
Factor c**5/4 + 228*c**4 + 455*c**3.
c**3*(c + 2)*(c + 910)/4
Factor -2*s**3/7 + 4*s**2/7 + 30*s/7.
-2*s*(s - 5)*(s + 3)/7
Factor x**2 - 1294*x + 418609.
(x - 647)**2
What is x in 15*x**5 - 114*x**4 + 57*x**3 + 42*x**2 = 0?
-2/5, 0, 1, 7
Let 3*a**3 + 165*a**2 + 2349*a + 2187 = 0. Calculate a.
-27, -1
Solve 2*o**4 + 16*o**3 - 142*o**2 - 156*o = 0.
-13, -1, 0, 6
Let -4*l**2/5 - 8*l/5 + 12 = 0. Calculate l.
-5, 3
Factor 5*u**5 + 77*u**4 + 156*u**3.
u**3*(u + 13)*(5*u + 12)
Let 2*y**3/9 + 26*y**2/3 + 412*y/9 + 176/3 = 0. Calculate y.
-33, -4, -2
Find a such that -2*a**5/7 - 6*a**4 - 258*a**3/7 - 542*a**2/7 - 468*a/7 - 144/7 = 0.
-12, -6, -1
Factor 3*c**3 + 6*c**2 + 3*c.
3*c*(c + 1)**2
Factor 10*q**4/3 - 65*q**3/6 + 25*q**2/2 - 35*q/6 + 5/6.
5*(q - 1)**3*(4*q - 1)/6
Factor -4*b**2/11 - 118*b/11 - 870/11.
-2*(b + 15)*(2*b + 29)/11
Factor l**4 - 4*l**3 - 66*l**2 - 116*l - 55.
(l - 11)*(l + 1)**2*(l + 5)
Factor 4*r**2 - 15360*r + 14745600.
4*(r - 1920)**2
Factor -2*c**2/3 + 10*c/3 - 4.
-2*(c - 3)*(c - 2)/3
Factor -4*h**5/7 + 44*h**4/7 - 156*h**3/7 + 180*h**2/7.
-4*h**2*(h - 5)*(h - 3)**2/7
Factor -q**5/5 - 2*q**4 - 16*q**3/5 + 2*q**2/5 + 17*q/5 + 8/5.
-(q - 1)*(q + 1)**3*(q + 8)/5
Factor -3*s**3/5 + 33*s**2/5 - 6*s.
-3*s*(s - 10)*(s - 1)/5
Solve j**5/3 + j**4 - 14*j**3/3 - 6*j**2 + 13*j/3 + 5 = 0 for j.
-5, -1, 1, 3
Let -4*w**3 + 19*w**2 - 19*w - 6 = 0. What is w?
-1/4, 2, 3
Find q, given that 8*q**4 + 34*q**3 + 48*q**2 + 26*q + 4 = 0.
-2, -1, -1/4
Find o such that -3*o**2 + 1833*o - 7284 = 0.
4, 607
Suppose -2*z**5/5 - 8*z**4/5 + 8*z**3 - 4*z**2 - 38*z/5 + 28/5 = 0. What is z?
-7, -1, 1, 2
Factor -3*a**2 - 72*a - 189.
-