n**2/4 - 2673*n/4 - 2667/2.
-3*(n + 2)*(n + 889)/4
Factor -2*n**3/5 + 4*n**2/5 + 46*n/5 - 24.
-2*(n - 4)*(n - 3)*(n + 5)/5
Factor y**3/2 - 139*y**2/2 + 2516*y - 6936.
(y - 68)**2*(y - 3)/2
Solve -2*b**4 - 82*b**3 - 798*b**2 + 882*b = 0.
-21, 0, 1
Factor -m**2/4 + 37*m/4 + 39/2.
-(m - 39)*(m + 2)/4
Suppose 2*l**2/7 + 292*l/7 = 0. What is l?
-146, 0
Factor 2*b**3 + 328*b**2 + 2528*b + 4992.
2*(b + 4)**2*(b + 156)
Factor -4*k**3 + 1592*k**2 + 1596*k.
-4*k*(k - 399)*(k + 1)
Suppose -2*d**3 + 360*d**2 + 726*d + 364 = 0. What is d?
-1, 182
Factor -4*h**2 - 68*h - 168.
-4*(h + 3)*(h + 14)
Factor 2*g**2/3 - 808*g/3 + 81608/3.
2*(g - 202)**2/3
Factor 2*c**5/7 - 10*c**4 + 68*c**3/7.
2*c**3*(c - 34)*(c - 1)/7
Factor 4*q**3/7 - 36*q**2 - 264*q/7 + 512/7.
4*(q - 64)*(q - 1)*(q + 2)/7
Factor -2*f**3/5 + 52*f**2/5 - 182*f/5 + 132/5.
-2*(f - 22)*(f - 3)*(f - 1)/5
Factor -2*m**4/9 - 50*m**3/9 + 18*m**2 - 166*m/9 + 56/9.
-2*(m - 1)**3*(m + 28)/9
Suppose 5*p**4/2 + 69*p**3/4 + 93*p**2/4 - 5*p/2 = 0. What is p?
-5, -2, 0, 1/10
Factor -3*w**3 + 1623*w**2 - 6456*w + 6444.
-3*(w - 537)*(w - 2)**2
Let 116*h**4/7 + 282*h**3/7 + 38*h**2/7 - 120*h/7 + 8/7 = 0. Calculate h.
-2, -1, 2/29, 1/2
Let 3*h**4 - 684*h**3 + 681*h**2 = 0. Calculate h.
0, 1, 227
Determine i, given that 12*i**5 - 88*i**4 + 116*i**3 + 216*i**2 - 128*i - 128 = 0.
-1, -2/3, 1, 4
Factor -2*x**3 + 4*x**2 + 42*x + 36.
-2*(x - 6)*(x + 1)*(x + 3)
Factor g**3 - 9*g**2 - 10*g.
g*(g - 10)*(g + 1)
Factor 3*x**3 - 3*x**2 - 48*x - 60.
3*(x - 5)*(x + 2)**2
Suppose -q**3/8 + 57*q**2/8 - 105*q + 98 = 0. Calculate q.
1, 28
Determine g, given that 4*g**2 - 180*g + 1736 = 0.
14, 31
What is b in 6*b**2/11 - 1200*b/11 + 1194/11 = 0?
1, 199
Solve 175*q**5/4 + 290*q**4 - 487*q**3/4 - 53*q**2 + 21*q = 0 for q.
-7, -3/7, 0, 2/5
Find s, given that -15*s**5/4 + 9*s**4 + 213*s**3/4 - 285*s**2/2 + 108*s - 24 = 0.
-4, 2/5, 1, 4
Solve h**3/3 - 4*h**2/3 = 0 for h.
0, 4
Determine r so that -2*r**5 - 22*r**4 - 38*r**3 + 198*r**2 + 432*r + 216 = 0.
-6, -1, 3
Factor -5*o**3 - 230*o**2 - 445*o - 220.
-5*(o + 1)**2*(o + 44)
Suppose 3*m**4 - 120*m**3 + 1311*m**2 - 2166*m = 0. What is m?
0, 2, 19
Factor -33*k**3 + 60*k**2 + 12*k.
-3*k*(k - 2)*(11*k + 2)
Suppose 3*m**4/4 - 9*m**3/2 + 21*m**2/4 + 9*m/2 - 6 = 0. Calculate m.
-1, 1, 2, 4
Factor 20*d**2 + 1432*d - 576.
4*(d + 72)*(5*d - 2)
Factor -o**4/3 - 72*o**3 - 12496*o**2/3 - 29952*o - 173056/3.
-(o + 4)**2*(o + 104)**2/3
Determine h, given that -12*h**5 + 189*h**4 + 60*h**3 - 189*h**2 - 48*h = 0.
-1, -1/4, 0, 1, 16
Factor -4*u**2/13 + 10*u/13 - 4/13.
-2*(u - 2)*(2*u - 1)/13
Factor -2*n**2/9 - 86*n/9 - 28/3.
-2*(n + 1)*(n + 42)/9
Solve 10*c**5/11 - 56*c**4/11 - 394*c**3/11 + 752*c**2/11 + 360*c/11 = 0.
-5, -2/5, 0, 2, 9
Factor v**3/5 + 2*v**2/5 - 4*v/5 - 8/5.
(v - 2)*(v + 2)**2/5
Solve q**3/5 - q**2 - 6*q/5 = 0.
-1, 0, 6
Find z such that z**4/5 + 8*z**3/5 - 163*z**2/5 - 34*z = 0.
-17, -1, 0, 10
Suppose h**3 + 7*h**2 - h - 7 = 0. What is h?
-7, -1, 1
Factor -3*g**2/5 + 1737*g/5.
-3*g*(g - 579)/5
Factor 2*n**3/3 - 2*n**2 + 8/3.
2*(n - 2)**2*(n + 1)/3
Find t, given that 4*t**5 + 16*t**4 - 12*t**3 - 56*t**2 - 32*t = 0.
-4, -1, 0, 2
Factor -m**2/3 + 1726*m - 2234307.
-(m - 2589)**2/3
Solve 3*u**4/7 + 18*u**3/7 - 111*u**2/7 + 90*u/7 = 0 for u.
-10, 0, 1, 3
Factor -3*h**2/2 - 3*h - 3/2.
-3*(h + 1)**2/2
Determine a so that -1452*a**4 - 5940*a**3 - 6339*a**2 - 540*a - 12 = 0.
-2, -1/22
Suppose -4*l**3 - 36*l**2 + 84*l - 44 = 0. What is l?
-11, 1
Find z, given that 4*z**4/5 - 24*z**3/5 + 36*z**2/5 + 16*z/5 - 48/5 = 0.
-1, 2, 3
Let -7*u**4 - 125*u**3 + 18*u**2 = 0. Calculate u.
-18, 0, 1/7
Factor 2*v**3/3 + 6*v**2 - 80*v/3 - 32.
2*(v - 4)*(v + 1)*(v + 12)/3
Determine p so that 2*p**3/5 + 14*p**2/5 - 12*p = 0.
-10, 0, 3
What is c in -5*c**4/3 + 25*c**3/3 - 10*c**2/3 - 40*c/3 = 0?
-1, 0, 2, 4
Let 5*t**4 + 50*t**3 + 155*t**2 + 150*t = 0. What is t?
-5, -3, -2, 0
Solve -j**3 - 19*j**2 + 274*j + 616 = 0 for j.
-28, -2, 11
Factor -2*n**3/9 - 182*n**2/9 - 470*n - 450.
-2*(n + 1)*(n + 45)**2/9
Factor -2*z**5/13 - 4*z**4 + 228*z**3/13 - 352*z**2/13 + 238*z/13 - 60/13.
-2*(z - 1)**4*(z + 30)/13
Find b, given that 2*b**4/3 - 34*b**3/3 + 106*b**2/3 - 14*b/3 - 52 = 0.
-1, 2, 3, 13
Factor -2*m**2 - 456*m - 25992.
-2*(m + 114)**2
Factor 3*y**2 + 1464*y + 178608.
3*(y + 244)**2
What is c in 5*c**3 - 110*c**2 + 645*c - 540 = 0?
1, 9, 12
Suppose 3*i**3/4 - 249*i**2/4 - 1059*i/4 + 1305/4 = 0. Calculate i.
-5, 1, 87
Factor -6*n**3/7 - 60*n**2/7 + 144*n/7.
-6*n*(n - 2)*(n + 12)/7
Factor -2*f**2/7 - 12*f - 160/7.
-2*(f + 2)*(f + 40)/7
Factor -3*b**4 + 12*b**3 + 282*b**2 - 588*b + 297.
-3*(b - 11)*(b - 1)**2*(b + 9)
Solve 80*c**5 - 692*c**4 + 2024*c**3 - 2384*c**2 + 992*c - 128 = 0 for c.
1/4, 2/5, 2, 4
Let 5*m**5/4 + 11*m**4/2 + 13*m**3/2 - 2*m**2 - 31*m/4 - 7/2 = 0. What is m?
-2, -7/5, -1, 1
Factor -4*d**5 - 20*d**4 - 16*d**3 + 64*d**2 + 128*d + 64.
-4*(d - 2)*(d + 1)*(d + 2)**3
Factor -60*z**2/11 + 66*z - 72/11.
-6*(z - 12)*(10*z - 1)/11
Factor n**3/4 + 63*n**2/4 + 1215*n/4 + 6561/4.
(n + 9)*(n + 27)**2/4
Find j, given that j**2/5 + 6*j/5 + 1 = 0.
-5, -1
What is q in -q**3 - 2*q**2 + 29*q - 42 = 0?
-7, 2, 3
Factor -13*a**5 + a**4 + 78*a**3 - 110*a**2 + 47*a - 3.
-(a - 1)**3*(a + 3)*(13*a - 1)
Factor 3*t**3 + 54*t**2 + 324*t + 648.
3*(t + 6)**3
Factor 2*t**4/7 + 108*t**3/7 + 1826*t**2/7 + 9936*t/7 + 16928/7.
2*(t + 4)**2*(t + 23)**2/7
Factor 2*m**2/7 + 3914*m/7 + 3912/7.
2*(m + 1)*(m + 1956)/7
Factor p**5/8 - 7*p**4/8 - 51*p**3/4 - 135*p**2/4 - 27*p/8 + 405/8.
(p - 15)*(p - 1)*(p + 3)**3/8
Factor -27*l**2 - 39*l + 126.
-3*(l + 3)*(9*l - 14)
Factor -4*r**3/3 - 464*r**2/3 - 15808*r/3 - 43264.
-4*(r + 12)*(r + 52)**2/3
Factor 9*b**5 - 1158*b**4 + 37632*b**3 - 24576*b**2.
3*b**2*(b - 64)**2*(3*b - 2)
Factor 3*y**3 - 1317*y**2 + 5232*y - 5220.
3*(y - 435)*(y - 2)**2
Factor 4*t**3 + 16*t**2 + 12*t.
4*t*(t + 1)*(t + 3)
Find o such that 29*o**5/2 - 57*o**4 + 83*o**3 - 52*o**2 + 21*o/2 + 1 = 0.
-2/29, 1
Solve 5*m**3 - 165*m**2 + 1275*m + 1445 = 0.
-1, 17
Solve -p**3/4 + 3*p**2 + p/4 - 3 = 0 for p.
-1, 1, 12
Let -4*z**4 + 12*z**3 + 52*z**2 - 60*z = 0. Calculate z.
-3, 0, 1, 5
Solve -42*c**3 + 339*c**2 - 1284*c/7 + 180/7 = 0 for c.
2/7, 15/2
Find h such that 4*h**2/3 + 20*h - 1624/3 = 0.
-29, 14
Solve 2*f**4/5 + 26*f**3 - 134*f**2/5 - 26*f + 132/5 = 0 for f.
-66, -1, 1
Let 2*u**3 + 12*u**2 + 6*u - 20 = 0. What is u?
-5, -2, 1
Factor -q**2/4 - 8*q - 55.
-(q + 10)*(q + 22)/4
Factor k**4 - 32*k**3 + 334*k**2 - 1248*k + 1521.
(k - 13)**2*(k - 3)**2
Suppose -n**3 - 18*n**2 - 92*n - 120 = 0. Calculate n.
-10, -6, -2
Factor 3*o**3/4 + 111*o**2/4 - 3*o/4 - 111/4.
3*(o - 1)*(o + 1)*(o + 37)/4
Factor -5*d**5 + 10*d**4 + 60*d**3 - 200*d**2 + 160*d.
-5*d*(d - 2)**3*(d + 4)
Factor -c**5 + 159*c**4 - 7002*c**3 + 54702*c**2 - 155925*c + 151875.
-(c - 75)**2*(c - 3)**3
Factor -2*p**2 - 66*p - 64.
-2*(p + 1)*(p + 32)
Suppose n**3/3 - 4*n - 16/3 = 0. What is n?
-2, 4
Factor -5*s**2 + 650*s - 21125.
-5*(s - 65)**2
Factor -3*k**4 + 6*k**3 + 21*k**2 + 12*k.
-3*k*(k - 4)*(k + 1)**2
Suppose -g**2/5 + 408*g/5 - 41616/5 = 0. Calculate g.
204
Factor -2*m**2/15 - 1112*m/5 - 463704/5.
-2*(m + 834)**2/15
Determine p, given that -16*p**2 + 2178*p - 272 = 0.
1/8, 136
Let 2*c**3/7 + 46*c**2/7 + 44*c/7 = 0. Calculate c.
-22, -1, 0
Factor -6*u**2 + 1581*u + 792.
-3*(u - 264)*(2*u + 1)
Find h, given that -2*h**2/7 - 12*h/7 - 10/7 = 0.
-5, -1
Factor 3*x**3 + 2565*x**2 + 731025*x + 69447375.
3*(x + 285)**3
What is d in -3*d**3/7 - 78*d**2/7 - 60*d + 168 = 0?
-14, 2
Factor -p**2/10 + 781*p/10 - 1554/5.
-(p - 777)*(p - 4)/10
Factor -4*x**3/7 - 564*x**2/7 - 2628*x + 106580/7.
-4*(x - 5)*(x + 73)**2/7
Factor 9*t**4/4 - 5*t**3 - 59*t**2/4 - 11*t/2 + 2.
(t - 4)*(t + 1)**2*(9*t - 2)/4
Factor -2*f**2 - 8*f/3 - 2/3.
-2*(f + 1)*(3*f + 1)/3
Factor 3*x**3 + 9*x**2/7 - 12*x/7.
3*x*(x + 1)*(7*x - 4)/7
Let 2*j**2 + 8*j + 8 = 0. Calculate j.
-2
Factor 4*l**4 + 112*l**3 + 1152*l**2 + 5120*l + 8192.
4*(l + 4)*(l + 8)**3
Factor -4*m**2 - 24*m + 288.
-4*(m - 6)*(m + 12)
Find r such that -2*r**4 - 86*r**3 - 444*r**2 = 0.
-37, -6, 0
Solve -r**2/2 + 23*r/2 + 25 = 0.
-2, 25
Factor -m**2 + 3850*m - 3705625.
-(m - 1925)**2
Suppose 4*i**4/5 + 4916*i**3/5 - 14772*i**2/5 + 2956*i - 4928/5 =