 2)
Factor -h**3/2 - 7*h**2/2 - 11*h/2 - 5/2.
-(h + 1)**2*(h + 5)/2
Factor -3*d**4 + 12*d**3 - 9*d**2 - 12*d + 12.
-3*(d - 2)**2*(d - 1)*(d + 1)
Factor 2*i**2/9 + 212*i/9 + 5618/9.
2*(i + 53)**2/9
Factor -9*u**2 - 168*u + 57.
-3*(u + 19)*(3*u - 1)
Suppose i**4/7 - 38*i**3/7 - i**2/7 + 38*i/7 = 0. What is i?
-1, 0, 1, 38
Determine l so that -l**4/8 - 3*l**3/2 - 21*l**2/8 - 5*l/4 = 0.
-10, -1, 0
Factor 3*z**2/5 - 9*z/5.
3*z*(z - 3)/5
Solve 2*n**2 - 150*n + 1612 = 0 for n.
13, 62
Suppose 9*u**4 - 102*u**3 - 228*u**2 + 438*u - 117 = 0. Calculate u.
-3, 1/3, 1, 13
Find a such that 2*a**4/5 - 54*a**2/5 + 28*a/5 + 48 = 0.
-5, -2, 3, 4
Suppose -w**4/2 + 10*w**3 - 53*w**2/2 + 17*w = 0. What is w?
0, 1, 2, 17
Factor 2*t**4 - 18*t**3 - 2*t**2 + 18*t.
2*t*(t - 9)*(t - 1)*(t + 1)
Factor 4*f**3 - 152*f**2/7 + 228*f/7 - 72/7.
4*(f - 3)*(f - 2)*(7*f - 3)/7
Factor 4*z**3 + 615*z**2 - 154*z.
z*(z + 154)*(4*z - 1)
Suppose -i**4/3 - 2*i**3/3 - i**2/3 = 0. Calculate i.
-1, 0
What is f in 3*f**5/8 + 9*f**4/4 + 3*f**3 = 0?
-4, -2, 0
Factor -l**3 - 1309*l**2 - 429024*l - 427716.
-(l + 1)*(l + 654)**2
Suppose -2*q**2 + 316*q - 12482 = 0. What is q?
79
Find c, given that 35*c**4 + 155*c**3 - 2740*c**2 + 5520*c + 2880 = 0.
-12, -3/7, 4
Find d, given that 13*d**2/2 + 71*d/2 + 15 = 0.
-5, -6/13
Solve -4*d**2 - 156*d + 880 = 0.
-44, 5
Factor -4*m**4 - 156*m**3 - 1968*m**2 - 8704*m - 12288.
-4*(m + 3)*(m + 4)*(m + 16)**2
Suppose 15*h**4/7 - 306*h**3/7 + 660*h**2/7 - 216*h/7 = 0. What is h?
0, 2/5, 2, 18
Let o**5/2 - 23*o**4/2 + 73*o**3 - 104*o**2 = 0. What is o?
0, 2, 8, 13
Factor 3*x**3 - 267*x**2 - 1104*x - 1116.
3*(x - 93)*(x + 2)**2
Factor -c**5 - 8*c**4 - 16*c**3.
-c**3*(c + 4)**2
Solve -b**5 - 11*b**4 + 89*b**3 - 209*b**2 + 200*b - 68 = 0.
-17, 1, 2
Factor 5*y**5 - 80*y**4 + 480*y**3 - 1280*y**2 + 1280*y.
5*y*(y - 4)**4
Solve 2*c**5/13 - 30*c**4/13 + 148*c**3/13 - 252*c**2/13 - 54*c/13 + 378/13 = 0.
-1, 3, 7
Factor 5*o**4 - 50*o**3 + 115*o**2 - 70*o.
5*o*(o - 7)*(o - 2)*(o - 1)
Determine q, given that -55*q**2 + 815*q + 150 = 0.
-2/11, 15
Suppose -p**4/4 + 5*p**2/4 - 1 = 0. What is p?
-2, -1, 1, 2
Factor -5*f**3 - 15*f**2 + 45*f - 25.
-5*(f - 1)**2*(f + 5)
Factor 2*f**2 - 824*f.
2*f*(f - 412)
Solve 3*y**4/8 - 63*y**3/8 + 117*y**2/8 - 57*y/8 = 0 for y.
0, 1, 19
Factor 1311025*b**3 + 1301865*b**2 - 9144*b + 16.
(b + 1)*(1145*b - 4)**2
Solve 27*v**2/2 + 213*v/2 - 12 = 0.
-8, 1/9
Find x such that -42*x**3/5 + 214*x**2/5 - 188*x/5 + 16/5 = 0.
2/21, 1, 4
Solve -510*g**5 - 545*g**4 + 495*g**3 + 565*g**2 + 15*g - 20 = 0.
-1, -4/17, 1/6, 1
Suppose 20*w**4 - 72*w**3 - 44*w**2 + 48*w = 0. What is w?
-1, 0, 3/5, 4
Suppose q**3/2 + 21*q**2 + 171*q/2 - 259 = 0. Calculate q.
-37, -7, 2
Factor -3*g**2 - 54*g - 243.
-3*(g + 9)**2
Factor -4*y**5/7 - 56*y**4 - 13060*y**3/7 - 156032*y**2/7 - 274432*y/7 - 131072/7.
-4*(y + 1)**2*(y + 32)**3/7
Suppose 4*b**4 + 9*b**3/2 - 25*b**2/2 - 9*b/2 + 17/2 = 0. What is b?
-17/8, -1, 1
Solve c**5 - 3*c**4 - 17*c**3 - 9*c**2 + 16*c + 12 = 0.
-2, -1, 1, 6
Find r such that -7*r**5/4 - 89*r**4/4 - 46*r**3 + 15*r**2 = 0.
-10, -3, 0, 2/7
Solve -2*x**5/5 + 144*x**4/5 + 146*x**3/5 = 0 for x.
-1, 0, 73
Suppose m**4 - 2*m**3 - 7*m**2 - 4*m = 0. Calculate m.
-1, 0, 4
Solve -v**4 + 6*v**3 - 4*v**2 - 6*v + 5 = 0 for v.
-1, 1, 5
Factor -15*c**2 + 85*c - 70.
-5*(c - 1)*(3*c - 14)
Factor -5*i**2/2 - 10*i.
-5*i*(i + 4)/2
Factor 2*d**3/15 - 56*d**2/15 + 434*d/15 - 44.
2*(d - 15)*(d - 11)*(d - 2)/15
Let 3*c**5 - 17*c**4 + 34*c**3 - 28*c**2 + 8*c = 0. What is c?
0, 2/3, 1, 2
Solve 5*q**4 + 30*q**3 + 45*q**2 = 0.
-3, 0
What is r in -30*r**5 + 245*r**4 - 225*r**3 - 175*r**2 + 255*r - 70 = 0?
-1, 1/2, 2/3, 1, 7
Determine a so that -a**5 - 11*a**4 - 14*a**3 + 44*a**2 + 72*a = 0.
-9, -2, 0, 2
What is u in 6*u**2/11 - 24*u/11 + 18/11 = 0?
1, 3
Determine i so that -2*i**3/7 - 320*i**2/7 + 646*i/7 - 324/7 = 0.
-162, 1
Let 2*q**2 + 28*q = 0. Calculate q.
-14, 0
Determine x so that 57*x**4/4 + 87*x**3 - 819*x**2/4 + 183*x/2 + 12 = 0.
-8, -2/19, 1
Suppose -3*z**4 - 68*z**3 - 1012*z**2/3 + 544*z - 192 = 0. Calculate z.
-12, 2/3
Let -c**2/8 - 743*c/2 - 552049/2 = 0. Calculate c.
-1486
Solve v**4/4 + 4*v**3 + 39*v**2/2 + 28*v + 49/4 = 0.
-7, -1
Factor -2*t**3 + 14*t**2 + 80*t + 88.
-2*(t - 11)*(t + 2)**2
Factor -y**2/2 + 261*y + 524.
-(y - 524)*(y + 2)/2
Factor -i**2/2 - 73*i - 5329/2.
-(i + 73)**2/2
Factor -5*y**3 - 3690*y**2 + 7400*y.
-5*y*(y - 2)*(y + 740)
Let -4*f**2 - 4028*f - 8040 = 0. Calculate f.
-1005, -2
Suppose 6*j**5/7 - 2*j**4 + 8*j**2/7 = 0. Calculate j.
-2/3, 0, 1, 2
Factor -4*y**2 - 7512*y - 3526884.
-4*(y + 939)**2
Factor -3*w**3 - 2901*w**2 - 702765*w - 699867.
-3*(w + 1)*(w + 483)**2
Solve v**2/5 - 8*v/5 - 48/5 = 0.
-4, 12
Let -27*w**5 + 711*w**4 - 2154*w**3 + 1956*w**2 - 552*w = 0. Calculate w.
0, 2/3, 2, 23
Factor 5*u**2 + 30*u - 135.
5*(u - 3)*(u + 9)
Factor -l**3/3 - 446*l**2/3 - 49280*l/3 + 100352/3.
-(l - 2)*(l + 224)**2/3
Factor -5*n**2 - 785*n + 1590.
-5*(n - 2)*(n + 159)
Suppose 5*o**2 + 240*o + 235 = 0. Calculate o.
-47, -1
Determine x so that 3*x**2/2 + 21*x/2 - 12 = 0.
-8, 1
Determine s so that s**4/2 - 8*s**3 - 101*s**2/2 - 42*s = 0.
-4, -1, 0, 21
Find d, given that -d**2/5 + 32*d/5 - 256/5 = 0.
16
Find v, given that -v**5/8 + 9*v**4/4 - 7*v**3/4 - 13*v**2/2 + 15*v/8 + 17/4 = 0.
-1, 1, 2, 17
Let s**4/3 + 73*s**3/3 + 1295*s**2/3 - 1369*s/3 = 0. What is s?
-37, 0, 1
Suppose -l**4/4 + 3*l**3/4 + 3*l**2 - 13*l + 12 = 0. Calculate l.
-4, 2, 3
Factor a**3/7 - 18*a**2 - 3135*a/7 - 17908/7.
(a - 148)*(a + 11)**2/7
Let -14*h**5/17 + 122*h**4/17 + 50*h**3/17 - 122*h**2/17 - 36*h/17 = 0. What is h?
-1, -2/7, 0, 1, 9
Factor -t**3 + 18*t**2 - 17*t.
-t*(t - 17)*(t - 1)
Factor 2*f**4 - 20*f**3 + 66*f**2 - 72*f.
2*f*(f - 4)*(f - 3)**2
Solve 2*i**5 - 100*i**4 - 208*i**3 - 4*i**2 + 206*i + 104 = 0 for i.
-1, 1, 52
Factor 4*q**2 + 26656*q + 44408896.
4*(q + 3332)**2
Factor 2*l**2 - 147*l + 73.
(l - 73)*(2*l - 1)
Factor -t**3/4 - 75*t**2/4 - 69*t/2 + 146.
-(t - 2)*(t + 4)*(t + 73)/4
Factor 5*n**3 + 190*n**2 + 1600*n - 4000.
5*(n - 2)*(n + 20)**2
Suppose 2*j**2/3 - 22*j/3 - 40 = 0. Calculate j.
-4, 15
Factor -r**3/10 + 712*r**2/5 + 2851*r/10 + 713/5.
-(r - 1426)*(r + 1)**2/10
Determine w, given that -3*w**2 - 14625*w + 14628 = 0.
-4876, 1
Factor -3*i**2 + 975*i + 978.
-3*(i - 326)*(i + 1)
Factor -3*h**4 + 429*h**3 - 20304*h**2 + 311040*h + 331776.
-3*(h - 48)**3*(h + 1)
Determine r so that 4*r**5/5 - 16*r**4/5 + 24*r**3/5 - 16*r**2/5 + 4*r/5 = 0.
0, 1
Factor -x**2/3 + 4/3.
-(x - 2)*(x + 2)/3
Factor 2*w**4/15 - 128*w**3/15 + 1628*w**2/15 + 896*w + 1470.
2*(w - 35)**2*(w + 3)**2/15
Factor -g**3/2 + 83*g**2/8 + 21*g/8.
-g*(g - 21)*(4*g + 1)/8
Factor 2*t**2/7 - 54*t/7 + 40.
2*(t - 20)*(t - 7)/7
Determine h so that 5*h**5 + 5*h**4 - 15*h**3 - 25*h**2 - 10*h = 0.
-1, 0, 2
Suppose 63*d**3/5 - 57*d**2/5 - 132*d/5 - 12/5 = 0. What is d?
-1, -2/21, 2
Find c such that -20*c**4 + 88*c**3 + 28*c**2 - 384*c + 144 = 0.
-2, 2/5, 3
Factor o**4/3 - 5*o**3 + 13*o**2 - 37*o/3 + 4.
(o - 12)*(o - 1)**3/3
Let 2*m**2 - 16*m - 66 = 0. Calculate m.
-3, 11
Factor -3*o**5/4 + 261*o**4/2 + 1074*o**3 + 3252*o**2 + 4356*o + 2184.
-3*(o - 182)*(o + 2)**4/4
Factor g**4/8 - g**3/4 - g**2/2 + g/4 + 3/8.
(g - 3)*(g - 1)*(g + 1)**2/8
Solve -4*m**5/5 + 3*m**4/5 + 9*m**3/5 + 2*m**2/5 = 0.
-1, -1/4, 0, 2
Determine z so that 16*z**2 - 362*z - 138 = 0.
-3/8, 23
Factor 78*a**3/5 + 558*a**2/5 + 84*a/5.
6*a*(a + 7)*(13*a + 2)/5
Find u, given that u**3/6 + 6*u**2 = 0.
-36, 0
Determine u, given that -u**5/2 + 47*u**4 + 195*u**3/2 - 144*u**2 = 0.
-3, 0, 1, 96
Factor -5*y**4 - 100*y**3 - 590*y**2 - 900*y - 405.
-5*(y + 1)**2*(y + 9)**2
Factor -2*k**2/15 - 38*k/15.
-2*k*(k + 19)/15
Factor -4*z**2 + 396*z - 4176.
-4*(z - 87)*(z - 12)
Factor -3*h**3 - 27*h**2 - 81*h - 81.
-3*(h + 3)**3
Factor 2*v**5 + 128*v**4 + 248*v**3 - 4*v**2 - 250*v - 124.
2*(v - 1)*(v + 1)**3*(v + 62)
Suppose 3*w**2 + 60*w - 468 = 0. Calculate w.
-26, 6
Determine g so that 16*g**5/17 + 18*g**4/17 - 14*g**3 - 174*g**2/17 + 846*g/17 + 108/17 = 0.
-3, -1/8, 2, 3
Factor -147*z**4 - 301266*z**3 - 154269687*z**2 + 88227900*z - 12607500.
-3*(z + 1025)**2*(7*z - 2)**2
Factor -2*d**4/13 + 82*d**3/13 - 630*d**2/13 + 1782*d/13 - 1728/13.
-2*(d - 32)*(d - 3)*