(w + 4)
Determine x, given that -2*x**4/5 + 54*x**3/5 + 174*x**2/5 + 178*x/5 + 12 = 0.
-1, 30
Factor -2*g**5/9 - 22*g**4/9 - 20*g**3/9 + 212*g**2/9 - 266*g/9 + 98/9.
-2*(g - 1)**3*(g + 7)**2/9
Factor 3*r**2/2 - 114*r - 1743/2.
3*(r - 83)*(r + 7)/2
Factor 81*z**4 + 4329*z**3 - 2462*z**2 - 1732*z - 216.
(z - 1)*(z + 54)*(9*z + 2)**2
Factor m**2/3 + 18*m - 264.
(m - 12)*(m + 66)/3
Factor -3*u**3/4 + 45*u**2 - 900*u + 6000.
-3*(u - 20)**3/4
Solve -135*p**5 + 2025*p**4 + 90*p**3 - 1310*p**2 - 595*p - 75 = 0 for p.
-1/3, 1, 15
Factor -2*z**5/3 + 8*z**4 - 30*z**3 + 100*z**2/3.
-2*z**2*(z - 5)**2*(z - 2)/3
Factor v**3/2 + 143*v**2/2 - 228*v - 1314.
(v - 6)*(v + 3)*(v + 146)/2
Determine o, given that -o**3 + 74*o**2 = 0.
0, 74
Determine b, given that b**5/8 + 5*b**4/4 - 9*b**3 + 27*b**2/4 + 135*b/8 = 0.
-15, -1, 0, 3
Factor -u**3/11 - 5897*u**2/11 - 8690703*u/11 + 8696601/11.
-(u - 1)*(u + 2949)**2/11
Determine m so that m**2 + 778*m + 151321 = 0.
-389
Solve 3*x**4/5 + 162*x**3/5 - 171*x**2/5 - 66*x = 0.
-55, -1, 0, 2
Let 2*u**4 + 16*u**3 - 42*u**2 - 16*u + 40 = 0. What is u?
-10, -1, 1, 2
Factor 2*u**3/9 - 134*u**2/9 + 1060*u/9 - 928/9.
2*(u - 58)*(u - 8)*(u - 1)/9
Factor 3*t**2/2 + 72*t + 864.
3*(t + 24)**2/2
Find f such that -f**2 - 364*f - 33124 = 0.
-182
Find x such that -25*x**5/2 - 295*x**4 + 7915*x**3/2 + 2590*x**2 - 1650*x = 0.
-33, -1, 0, 2/5, 10
Factor 2*q**2/11 - 134*q/11 - 420/11.
2*(q - 70)*(q + 3)/11
What is f in -3*f**3 + 756*f**2 - 2988*f + 2976 = 0?
2, 248
Factor z**3/5 - 7*z**2/5 + 3*z - 9/5.
(z - 3)**2*(z - 1)/5
Determine f, given that f**2/4 + 5*f/2 + 4 = 0.
-8, -2
Suppose -o**3 - 18*o**2 + 399*o - 1568 = 0. Calculate o.
-32, 7
Solve 4*m**2/5 - 31464*m/5 + 61873956/5 = 0.
3933
Factor -3*t**3 + 27*t**2 + 12*t - 108.
-3*(t - 9)*(t - 2)*(t + 2)
Let 2*d**3/13 + 12*d**2/13 - 64/13 = 0. Calculate d.
-4, 2
Determine k so that -k**2/3 - 23*k - 68/3 = 0.
-68, -1
What is p in -9*p**4/5 - 48*p**3/5 - 7*p**2/5 + 44*p/5 + 4 = 0?
-5, -2/3, 1
Solve -2*j**3/3 + 26*j**2/3 - 46*j/3 + 22/3 = 0.
1, 11
Factor -c**2/3 + 4*c - 12.
-(c - 6)**2/3
Factor 2*t**2/15 + 2008*t/15 + 504008/15.
2*(t + 502)**2/15
Determine w so that -2*w**2/11 + 320*w/11 - 12800/11 = 0.
80
Solve -5*r**4 + 810*r**3 - 32800*r**2 - 810*r + 32805 = 0.
-1, 1, 81
Solve 24*i**4/11 - 42*i**3/11 - 516*i**2/11 - 558*i/11 - 108/11 = 0.
-3, -1, -1/4, 6
Determine l so that 2*l**5 + 46*l**4 + 286*l**3 + 242*l**2 = 0.
-11, -1, 0
Factor -h**3 + 37*h**2 - 36*h.
-h*(h - 36)*(h - 1)
Determine i so that i**4 - 5*i**3 - 15*i**2 + 5*i + 14 = 0.
-2, -1, 1, 7
Factor -i**2/6 - 7*i/6 + 3.
-(i - 2)*(i + 9)/6
Let -9*t**5/5 + 61*t**4/5 - 49*t**3/5 - 149*t**2/5 - 6*t = 0. Calculate t.
-1, -2/9, 0, 3, 5
Let -2*k**3/21 - 26*k**2/7 + 2*k/21 + 26/7 = 0. What is k?
-39, -1, 1
Factor -q**4 + 226*q**3 + 228*q**2 - 226*q - 227.
-(q - 227)*(q - 1)*(q + 1)**2
What is l in -4*l**3/5 - 192*l**2/5 - 324*l - 760 = 0?
-38, -5
What is b in -12*b**5 - 99*b**4 - 204*b**3 - 45*b**2 = 0?
-5, -3, -1/4, 0
Determine o, given that -2*o**4/9 + 14*o**3/9 + 2*o**2 - 14*o/9 - 16/9 = 0.
-1, 1, 8
Factor -2*n**2/11 + 2*n/11.
-2*n*(n - 1)/11
Factor 2*m**2/5 - 1062*m/5 + 212.
2*(m - 530)*(m - 1)/5
Factor -s**3 + 8*s**2 + 11*s - 18.
-(s - 9)*(s - 1)*(s + 2)
Factor h**5/5 - 456*h**4/5 + 70209*h**3/5 - 756810*h**2 + 4171500*h - 6075000.
(h - 150)**3*(h - 3)**2/5
Suppose -6*n**2 + 76*n - 48 = 0. What is n?
2/3, 12
Determine v, given that -3*v**2 + 43524*v - 157861548 = 0.
7254
Factor -4*n**4 + 12*n**3 - 16*n.
-4*n*(n - 2)**2*(n + 1)
Determine l so that -3*l**5 + 29*l**4 - 41*l**3 + 7*l**2 + 8*l = 0.
-1/3, 0, 1, 8
Factor 1480*r**2 - 305*r + 15.
5*(8*r - 1)*(37*r - 3)
Factor -a**3/2 - 29*a**2 + 60*a.
-a*(a - 2)*(a + 60)/2
Factor h**4 - 9*h**3 + 24*h**2 - 20*h.
h*(h - 5)*(h - 2)**2
Factor 3*r**2 - 144*r + 1728.
3*(r - 24)**2
Suppose -l**4/3 - 11*l**3 - 121*l**2 - 1331*l/3 = 0. What is l?
-11, 0
Suppose -u**3/3 + 1487*u**2 - 2211169*u + 3288008303/3 = 0. What is u?
1487
Let 2*o**5/11 + 8*o**4/11 + 10*o**3/11 + 4*o**2/11 = 0. What is o?
-2, -1, 0
Let 5*f**4 + 5*f**3 - 15*f**2 - 25*f - 10 = 0. What is f?
-1, 2
Solve 49*i**4/2 - 273*i**3/2 - 62*i**2 - 6*i = 0 for i.
-2/7, -1/7, 0, 6
Factor s**4/4 + 2*s**3 - 11*s**2/4 - 9*s/2.
s*(s - 2)*(s + 1)*(s + 9)/4
Factor 2*n**4 - 8*n**3 - 6*n**2 + 28*n - 16.
2*(n - 4)*(n - 1)**2*(n + 2)
Determine a, given that -2*a**2/9 - 5300*a/9 - 3511250/9 = 0.
-1325
Factor 30*u**4 - 145*u**3 - 60*u**2 + 175*u.
5*u*(u - 5)*(u - 1)*(6*u + 7)
Factor -b**5 - 72*b**4 - 1668*b**3 - 13744*b**2 - 47040*b - 57600.
-(b + 4)**3*(b + 30)**2
Factor 3*h**4 - 93*h**3 - 99*h**2 + 93*h + 96.
3*(h - 32)*(h - 1)*(h + 1)**2
Suppose -12*u**5 - 64*u**4 - 56*u**3 + 48*u**2 + 68*u + 16 = 0. What is u?
-4, -1, -1/3, 1
Factor -o**5 - 11*o**4 - 43*o**3 - 77*o**2 - 64*o - 20.
-(o + 1)**2*(o + 2)**2*(o + 5)
Determine y, given that -3*y**3/4 + 75*y**2 + 636*y + 1296 = 0.
-4, 108
Determine b, given that 2*b**4/5 - 26*b**3/5 + 24*b**2 - 232*b/5 + 32 = 0.
2, 4, 5
Determine k so that k**3/6 - 285*k**2/2 + 81225*k/2 - 7716375/2 = 0.
285
Suppose -2*d**3/5 - 8*d**2/15 + 8*d/15 = 0. What is d?
-2, 0, 2/3
Factor -i**4 - 4*i**3 + 1403*i**2 + 22218*i.
-i*(i - 42)*(i + 23)**2
Find j, given that -9*j**4 + 177*j**3 - 609*j**2 - 2937*j + 2178 = 0.
-3, 2/3, 11
Find d, given that 4*d**5 + 216*d**4 + 1352*d**3 - 5392*d**2 + 5844*d - 2024 = 0.
-46, -11, 1
Factor 4*i**2 - 212*i.
4*i*(i - 53)
Factor -o**3/2 + 198*o**2 - 19602*o.
-o*(o - 198)**2/2
Factor 3*p**2 + 1632*p + 4869.
3*(p + 3)*(p + 541)
Determine b so that 49*b**5/4 - 126*b**4 + 1513*b**3/4 - 789*b**2/2 + 91*b - 6 = 0.
1/7, 2, 6
Factor -t**2 + 9*t - 18.
-(t - 6)*(t - 3)
Factor -105*k**2/4 - 326*k - 43.
-(7*k + 86)*(15*k + 2)/4
Let -t**2 - 2908*t - 2114116 = 0. Calculate t.
-1454
Let -v**5/3 - 5*v**4 - 23*v**3/3 + 43*v**2/3 + 16*v - 52/3 = 0. What is v?
-13, -2, 1
Determine l, given that 6*l**5/5 - 64*l**4 - 884*l**3/5 - 672*l**2/5 - 2*l/5 + 112/5 = 0.
-1, 1/3, 56
Solve 3*d**5/7 - 39*d**4/7 + 162*d**3/7 - 216*d**2/7 = 0.
0, 3, 4, 6
Factor -5*x**3/3 + 74*x**2 + 137*x/3 - 30.
-(x - 45)*(x + 1)*(5*x - 2)/3
Factor -4*z**4 + 72*z**3 - 400*z**2 + 504*z + 980.
-4*(z - 7)**2*(z - 5)*(z + 1)
Find y, given that y**2/3 + 155*y + 464/3 = 0.
-464, -1
Factor -u**3 + 9*u**2 - 20*u + 12.
-(u - 6)*(u - 2)*(u - 1)
Find k, given that -2*k**4/9 + 4*k**3/9 + 26*k**2/9 - 76*k/9 + 16/3 = 0.
-4, 1, 2, 3
Solve -9*k**2/4 - 237*k/4 - 39/2 = 0 for k.
-26, -1/3
Factor w**3/5 + 2*w**2/5 - 483*w/5.
w*(w - 21)*(w + 23)/5
Suppose -4*u**4 + 48*u**3 - 88*u**2 - 336*u - 196 = 0. What is u?
-1, 7
Let -2*o**2 + 64*o = 0. What is o?
0, 32
Factor j**5 + j**4.
j**4*(j + 1)
Solve -2*a**3/15 - 22*a**2/5 - 114*a/5 - 162/5 = 0 for a.
-27, -3
Suppose -27*p**4/7 + 114*p**3/7 + 165*p**2/7 - 312*p/7 + 60/7 = 0. What is p?
-2, 2/9, 1, 5
Suppose -4*j**4 - 40*j**3 - 116*j**2 - 128*j - 48 = 0. What is j?
-6, -2, -1
Let -13*u**5/3 - 67*u**4/3 - 49*u**3/3 + 59*u**2/3 + 62*u/3 + 8/3 = 0. Calculate u.
-4, -1, -2/13, 1
Let -5*r**4 - 3720*r**3 - 691920*r**2 = 0. What is r?
-372, 0
Factor -8*y**2 - 12*y + 20.
-4*(y - 1)*(2*y + 5)
Suppose -175*b**2 - 185*b - 10 = 0. Calculate b.
-1, -2/35
Suppose 21*b**2 - 552*b - 405 = 0. What is b?
-5/7, 27
Factor 2*z**4/5 - 344*z**3/5 - 9024*z**2/5 - 14848*z - 200704/5.
2*(z - 196)*(z + 8)**3/5
Determine w, given that -4*w**5 - 1084*w**4 - 5344*w**3 - 6368*w**2 + 4288*w + 8512 = 0.
-266, -2, 1
Let -c**4/3 - 14*c**3/3 - 11*c**2 + 4*c/3 + 44/3 = 0. What is c?
-11, -2, 1
Solve -c**2/7 - 11*c/7 + 12/7 = 0.
-12, 1
Factor -2*a**2/5 + 124*a/5 - 672/5.
-2*(a - 56)*(a - 6)/5
Factor 5*x**2 + 25*x - 1870.
5*(x - 17)*(x + 22)
Find y, given that y**4/11 - 10*y**3/11 - 3*y**2/11 + 32*y/11 - 20/11 = 0.
-2, 1, 10
Suppose 5*w**2 - 15*w - 350 = 0. Calculate w.
-7, 10
Determine d, given that -3*d**3 + 337*d**2 + 226*d = 0.
-2/3, 0, 113
Factor -5*i**4 + 4500*i**3 - 1007990*i**2 - 2029500*i - 1017005.
-5*(i - 451)**2*(i + 1)**2
Factor t**3/3 + 8*t**2/3 + 5*t/3 - 14/3.
(t - 1)*(t + 2)*(t + 7)/3
Factor 3*d**3/2 + 12*d**2 - 57*d/2 + 15.
3*(d - 1)**2*(d + 10)/2
Find w such that -2*w**3/13 + 4*w**2 - 96*w/13 = 0.
0, 2, 24
Solve -3*s**4 + 339*s**3 + 348*s**2 - 684*s = 0 for s.
-2, 0, 1, 114
Factor -f**2 + 88*f - 415.
-(f - 83)*(f - 5)
Let 4*w**2 - 8*w - 32 = 0. W