culate h.
-16, 0
Find r, given that 2*r**4/13 - 4*r**3/13 - 2*r**2/13 + 4*r/13 = 0.
-1, 0, 1, 2
Determine r so that 12*r**4 + 20*r**3 - 12*r**2 - 36*r - 16 = 0.
-1, 4/3
Factor t**2/5 - 806*t/5 + 162409/5.
(t - 403)**2/5
Factor -y**4 - 12*y**3 + 44*y**2 + 480*y - 1600.
-(y - 4)**2*(y + 10)**2
Suppose -12*q**4 - 32*q**3 + 24*q**2 + 32*q - 12 = 0. Calculate q.
-3, -1, 1/3, 1
Let 4*a**4 - 160*a**3 + 1736*a**2 - 2432*a - 4332 = 0. What is a?
-1, 3, 19
Factor -f**2 - 45*f + 550.
-(f - 10)*(f + 55)
What is w in 676*w**5/9 + 43082*w**4/3 + 24742*w**3/9 - 5600*w**2/3 + 1528*w/9 = 0?
-191, -1/2, 0, 2/13
Determine s so that 3*s**4/5 - 72*s**3/5 + 351*s**2/5 - 498*s/5 + 216/5 = 0.
1, 4, 18
Suppose 36*i**2 - 4688*i + 1040 = 0. Calculate i.
2/9, 130
Determine w, given that -4*w**5 + 100*w**4 - 872*w**3 + 2888*w**2 - 1428*w - 5292 = 0.
-1, 3, 7, 9
Factor -u**3/7 - 17*u**2/7 - 6*u.
-u*(u + 3)*(u + 14)/7
Solve r**2 - 26*r - 87 = 0.
-3, 29
What is a in 56*a**3 - 620*a**2 + 44*a = 0?
0, 1/14, 11
Find d, given that 5*d**2 - 10*d - 75 = 0.
-3, 5
Factor j**2 - 206*j + 10609.
(j - 103)**2
Factor 2*l**2 + 38*l + 68.
2*(l + 2)*(l + 17)
Determine k so that k**5/3 + 89*k**4/3 + 2698*k**3/3 + 29522*k**2/3 + 51301*k/3 + 24389/3 = 0.
-29, -1
Let -t**3/3 - 8*t**2/3 - 13*t/3 - 2 = 0. Calculate t.
-6, -1
Factor 2*r**2/11 - 26*r/11 - 460/11.
2*(r - 23)*(r + 10)/11
Factor -17*o**3 + 36*o**2 - 4*o.
-o*(o - 2)*(17*o - 2)
Factor u**3/2 + 11*u**2/2 - 6*u.
u*(u - 1)*(u + 12)/2
Factor 4*h**4/7 + 23*h**3/7 - 34*h**2/7 + h.
h*(h - 1)*(h + 7)*(4*h - 1)/7
Determine z so that 8450*z**2/3 + 2340*z + 486 = 0.
-27/65
Find z, given that 5*z**5/2 + 15*z**4/2 - 45*z**3/2 + 25*z**2/2 = 0.
-5, 0, 1
Determine b so that -b**2 + 34*b - 289 = 0.
17
Determine g so that 2*g**3/13 - 68*g**2/13 + 502*g/13 + 44 = 0.
-1, 13, 22
Factor y**4/2 - 2*y**2.
y**2*(y - 2)*(y + 2)/2
Solve 4*n**4 - 108*n**3 - 624*n**2 - 512*n = 0 for n.
-4, -1, 0, 32
Factor -6*z**2/11 - 624*z/11 + 2592/11.
-6*(z - 4)*(z + 108)/11
Find o, given that -4*o**3 + 244*o**2 - 3596*o - 3844 = 0.
-1, 31
Suppose -k**5/5 - 8*k**4/5 + 4*k**3 - 2*k**2/5 - 19*k/5 + 2 = 0. Calculate k.
-10, -1, 1
Let c**2/4 + 435*c + 189225 = 0. What is c?
-870
Solve -k**5 - 51*k**4 - 387*k**3 + 6507*k**2 - 22680*k + 24300 = 0.
-30, 3
Factor -5*z**4 + 85*z**3 - 210*z**2 - 20*z + 280.
-5*(z - 14)*(z - 2)**2*(z + 1)
Solve -2*b**5 + 19*b**4/3 - 5*b**3 + 2*b**2/3 = 0 for b.
0, 1/6, 1, 2
Factor -4*h**2 + 76*h - 192.
-4*(h - 16)*(h - 3)
Let -2*q**5 - 66*q**4 + 72*q**3 + 136*q**2 = 0. Calculate q.
-34, -1, 0, 2
Factor -3*i**2 - 306*i + 309.
-3*(i - 1)*(i + 103)
Determine c so that 4*c**3 - 1012*c**2 + 63500*c + 64516 = 0.
-1, 127
Factor 3*f**3/10 - 2*f**2/5 - f/10 + 1/5.
(f - 1)**2*(3*f + 2)/10
Find k, given that -2*k**4/5 + 14*k**3/5 + 56*k**2/5 + 8*k = 0.
-2, -1, 0, 10
Determine x so that 5*x**2 + 10*x = 0.
-2, 0
Factor -5*z**2 + 193*z/3 + 26/3.
-(z - 13)*(15*z + 2)/3
Determine z, given that 4*z**4/9 - 92*z**3/9 + 100*z**2/3 + 92*z/9 - 304/9 = 0.
-1, 1, 4, 19
Factor -2*o**4 + 8*o**3 + 6*o**2 - 36*o.
-2*o*(o - 3)**2*(o + 2)
Solve 5*t**3 - 43*t**2/3 + 8*t + 4/3 = 0 for t.
-2/15, 1, 2
Factor -2*k**4/17 - 64*k**3/17 - 26*k**2 + 68*k.
-2*k*(k - 2)*(k + 17)**2/17
Factor -3*n**3/5 - 132*n**2/5 - 1452*n/5.
-3*n*(n + 22)**2/5
Suppose -16*k**5 - 64*k**4 - 84*k**3 - 36*k**2 = 0. What is k?
-3/2, -1, 0
Factor f**2/3 - 245*f/3 + 478.
(f - 239)*(f - 6)/3
Suppose 5*w**5 - 108*w**4 + 258*w**3 - 212*w**2 + 57*w = 0. What is w?
0, 3/5, 1, 19
Factor w**3/6 + w**2/2 - w/6 - 1/2.
(w - 1)*(w + 1)*(w + 3)/6
Find n, given that 266*n**3 + 2059*n**2 - 554*n - 16 = 0.
-8, -1/38, 2/7
Find n, given that n**4/7 + 22*n**3/7 + 177*n**2/7 + 88*n + 112 = 0.
-7, -4
Factor 2*r**3/3 + 44*r**2/3 + 74*r + 60.
2*(r + 1)*(r + 6)*(r + 15)/3
Find j such that j**2/3 - 130*j/3 + 168 = 0.
4, 126
Factor -4*g**5 + 380*g**4 + 776*g**3 + 8*g**2 - 772*g - 388.
-4*(g - 97)*(g - 1)*(g + 1)**3
Solve -10*d**3/13 - 4556*d**2/13 - 518016*d/13 + 207936/13 = 0.
-228, 2/5
Suppose -b**2/3 - 608*b/3 = 0. What is b?
-608, 0
Factor 3*t**3/4 - 9*t**2/4 - 3*t.
3*t*(t - 4)*(t + 1)/4
Factor -4*h**5 - 12*h**4 + 96*h**3 - 112*h**2.
-4*h**2*(h - 2)**2*(h + 7)
Factor 4*i**2 + 2128*i - 2132.
4*(i - 1)*(i + 533)
Factor 1383123*c**5 + 2774394*c**4 + 1399431*c**3 + 8172*c**2 + 12*c.
3*c*(c + 1)**2*(679*c + 2)**2
Factor 9*d**4 + 33*d**3 + 15*d**2 - 9*d.
3*d*(d + 1)*(d + 3)*(3*d - 1)
Factor y**3 + 83*y**2 + 1680*y - 1764.
(y - 1)*(y + 42)**2
Factor 2*a**3 + 22*a**2 + 78*a + 90.
2*(a + 3)**2*(a + 5)
Factor -5*o**3 - 110*o**2 - 520*o - 640.
-5*(o + 2)*(o + 4)*(o + 16)
Factor -983*m**3 + 1964*m**2 - 979*m - 2.
-(m - 1)**2*(983*m + 2)
Find y, given that -5*y**3 + 150*y**2 - 405*y = 0.
0, 3, 27
Solve 3*n**3 + 54*n**2 + 243*n = 0.
-9, 0
Find o such that 4*o**4 + 4*o**3 - 116*o**2 - 36*o + 720 = 0.
-5, -3, 3, 4
Solve m**3 - 20*m**2 + 64*m = 0 for m.
0, 4, 16
Find t such that -2*t**2/13 - 2*t = 0.
-13, 0
Suppose -35*b**4 - 150*b**3 - 75*b**2 + 200*b + 60 = 0. What is b?
-3, -2, -2/7, 1
Determine n so that 22*n**3/3 - 72*n**2 + 104*n + 64/3 = 0.
-2/11, 2, 8
Determine x, given that -x**5 + 6*x**4 - 11*x**3 + 6*x**2 = 0.
0, 1, 2, 3
Determine f, given that -6*f**5/11 + 18*f**3/11 - 12*f**2/11 = 0.
-2, 0, 1
Find w, given that 11*w**2 - 31*w - 120 = 0.
-24/11, 5
Let 11449*j**2/2 + 107*j + 1/2 = 0. What is j?
-1/107
Solve -2*r**2/5 - 74*r/5 + 1056/5 = 0 for r.
-48, 11
Factor -3*d**3 + 60*d**2 + 3*d - 60.
-3*(d - 20)*(d - 1)*(d + 1)
Let -4*c**4 + 10*c**3 + 6*c**2 - 16*c - 8 = 0. Calculate c.
-1, -1/2, 2
What is k in 4*k**2 + 92*k + 480 = 0?
-15, -8
Find m such that -m**3 - 20*m**2/3 - 9*m - 10/3 = 0.
-5, -1, -2/3
Solve 2*x**4/9 + 35*x**3/9 - 59*x**2/9 - 38*x/9 = 0 for x.
-19, -1/2, 0, 2
Factor -u**5/3 - 5*u**4/3 + 18*u**3 - 124*u**2/3 + 88*u/3.
-u*(u - 2)**3*(u + 11)/3
Solve -w**2/2 + 115*w + 699/2 = 0.
-3, 233
What is h in -h**3/3 + 2*h**2 - 5*h/3 = 0?
0, 1, 5
Factor 2*h**3 - 122*h**2 + 1920*h - 1800.
2*(h - 30)**2*(h - 1)
Find d, given that d**3/2 + 373*d**2/2 + 17484*d + 17298 = 0.
-186, -1
Factor f**3 + 110*f**2 - 691*f + 580.
(f - 5)*(f - 1)*(f + 116)
Factor 3*m**4/2 + m**3 - 69*m**2/2 - 72*m.
m*(m + 3)**2*(3*m - 16)/2
Let -x**3/8 + 101*x**2/8 - 935*x/8 + 2275/8 = 0. What is x?
5, 91
Factor 2*f**2 - 226*f + 444.
2*(f - 111)*(f - 2)
Factor o**5/7 - 3*o**4/7 - 10*o**3/7 - 2*o**2/7 + 9*o/7 + 5/7.
(o - 5)*(o - 1)*(o + 1)**3/7
Suppose 180*f**4 - 368*f**3 + 196*f**2 - 8*f = 0. Calculate f.
0, 2/45, 1
Suppose 3*a**2/7 + 36*a/7 + 96/7 = 0. What is a?
-8, -4
Factor 4*l**2/5 + 148*l/5 - 152/5.
4*(l - 1)*(l + 38)/5
Factor 2*a**3 - 330*a**2 - 8*a + 1320.
2*(a - 165)*(a - 2)*(a + 2)
Suppose 4*y**4 + 16*y**3 + 12*y**2 = 0. What is y?
-3, -1, 0
Determine t so that 6*t**3/17 + 38*t**2/17 - 84*t/17 - 32/17 = 0.
-8, -1/3, 2
Let -3*n**2/4 + 135*n/4 - 378 = 0. What is n?
21, 24
Factor -v**3/4 - 7*v**2/2 - 29*v/4 + 11.
-(v - 1)*(v + 4)*(v + 11)/4
Let -5*k**5 + 50*k**4 + 10*k**3 - 100*k**2 - 5*k + 50 = 0. Calculate k.
-1, 1, 10
Suppose -x**4/4 + 12*x**3 + 379*x**2/4 + 165*x/2 = 0. What is x?
-6, -1, 0, 55
Factor 22*c**2/13 + 30*c/13 + 8/13.
2*(c + 1)*(11*c + 4)/13
Factor 3*c**4 - 12*c**3 - 15*c**2.
3*c**2*(c - 5)*(c + 1)
What is r in -r**3/4 - r**2/4 + 15*r/2 = 0?
-6, 0, 5
Find x, given that -x**5/3 + 125*x**4/3 - 1363*x**3 + 11407*x**2/3 - 7442*x/3 = 0.
0, 1, 2, 61
Factor 5*h**4 + 1010*h**3 + 69300*h**2 + 1698840*h + 5749920.
5*(h + 4)*(h + 66)**3
Factor 2*o**2/9 + 29104*o/9 + 105880352/9.
2*(o + 7276)**2/9
Determine u so that -2*u**4/13 - 2*u**3 + 6*u**2/13 + 74*u/13 - 4 = 0.
-13, -2, 1
Solve -i**5/10 - 221*i**4/10 - 1837*i**3 - 68365*i**2 - 1963225*i/2 - 1830125/2 = 0 for i.
-55, -1
Let -d**3/6 + 23*d**2/6 - 37*d/2 + 51/2 = 0. What is d?
3, 17
Find j, given that 3*j**2 + 1770*j + 261075 = 0.
-295
Let 2*n**2 - 82*n - 172 = 0. What is n?
-2, 43
Factor -3*r**3 - 354*r**2 - 351*r.
-3*r*(r + 1)*(r + 117)
Solve 25*n**2 + 145*n + 120 = 0.
-24/5, -1
Factor -t**2/2 - 5609*t - 31460881/2.
-(t + 5609)**2/2
Factor -k**3/4 + 3*k**2/4 - 3*k/4 + 1/4.
-(k - 1)**3/4
Factor -2*u**3/3 - 62*u**2/3 + 2*u/3 + 62/3.
-2*(u - 1)*(u + 1)*(u + 31)/3
Factor -3*m**5 + 450*m**4 - 18180*m**3 + 98520*m**2 - 190080*m + 124416.
-3*(m - 72)**2*(m - 2)**3
What is v in 4*v**3 - 1524*v**2 + 144396*v + 14592