 1)**2*(a + 4)/2
Factor w**2 - 4*w + 4.
(w - 2)**2
Find h, given that -12*h**4 - 68*h**3 + 512*h**2 - 112*h - 320 = 0.
-10, -2/3, 1, 4
What is m in m**3/4 - 9*m**2/4 + 27*m/4 - 27/4 = 0?
3
Factor -8*k**5/11 - 6*k**4/11.
-2*k**4*(4*k + 3)/11
Factor -3*z**2/7 - 339*z.
-3*z*(z + 791)/7
Let -2*q**4 - 6*q**3 + 4*q**2 + 24*q + 16 = 0. Calculate q.
-2, -1, 2
Solve 6*n**2/11 + 2760*n/11 = 0 for n.
-460, 0
Factor 2*z**5/7 + 90*z**4/7 - 848*z**3/7.
2*z**3*(z - 8)*(z + 53)/7
Factor -3*w**4 - 1128*w**3 - 139446*w**2 - 5419344*w + 30725745.
-3*(w - 5)*(w + 127)**3
Factor f**3/2 - 7*f**2/2 + 5*f.
f*(f - 5)*(f - 2)/2
Factor -5*p**2/4 - 21315*p/2 - 90865845/4.
-5*(p + 4263)**2/4
Suppose 2*n**4 - 54*n**3 - 126*n**2 + 278*n + 348 = 0. What is n?
-3, -1, 2, 29
Find j such that 4*j**2 + 1488*j - 1492 = 0.
-373, 1
Solve -2*x**4 - 20*x**3 + 78*x**2 - 8*x - 104 = 0.
-13, -1, 2
Solve 2*i**2 + 816*i + 83232 = 0 for i.
-204
Solve r**5/2 + 10*r**4 - 15*r**3 - 100*r**2 - 235*r/2 - 42 = 0.
-21, -1, 4
Determine m so that -18*m**3 - 148*m**2 - 32*m = 0.
-8, -2/9, 0
Factor -3*r**3 + 513*r**2 - 1017*r + 507.
-3*(r - 169)*(r - 1)**2
Factor 11*k**5 + 442*k**4 + 3446*k**3 + 10116*k**2 + 10935*k + 1674.
(k + 3)**3*(k + 31)*(11*k + 2)
Let -2*m**5 + 48*m**4 + 160*m**3 + 60*m**2 - 158*m - 108 = 0. What is m?
-2, -1, 1, 27
Let -4*z**2/9 + 11384*z/3 - 8099716 = 0. What is z?
4269
Factor -2*n**2 - 40*n.
-2*n*(n + 20)
What is p in 3*p**4/2 + 81*p**3/2 - 183*p**2/2 - 261*p/2 = 0?
-29, -1, 0, 3
Let 9*g**3 - 948*g**2 + 2169*g - 618 = 0. What is g?
1/3, 2, 103
What is u in 15*u**4 + 50*u**3 + 45*u**2 + 10*u = 0?
-2, -1, -1/3, 0
Factor -5*f**3 - 80*f**2 - 255*f - 180.
-5*(f + 1)*(f + 3)*(f + 12)
Factor -4*d**3 + 36*d**2 + 120*d - 352.
-4*(d - 11)*(d - 2)*(d + 4)
What is j in 42*j**2 + 297*j + 21 = 0?
-7, -1/14
Let -20*s**3 + 85*s**2 - 45*s - 90 = 0. What is s?
-3/4, 2, 3
Solve -16*k**4/3 + 8*k**3 + 7*k**2/3 - 8*k + 3 = 0.
-1, 3/4, 1
Factor -4*w**3 - 3088*w**2 - 12304*w - 12288.
-4*(w + 2)**2*(w + 768)
Factor -2*b**3/9 - 104*b**2/9 - 194*b/9 + 100/3.
-2*(b - 1)*(b + 3)*(b + 50)/9
Solve -2*f**5 + 48*f**4 - 368*f**3 + 960*f**2 - 800*f = 0 for f.
0, 2, 10
Solve -2*q**2/5 - 34*q/5 - 24 = 0.
-12, -5
Factor -4*n**2/3 - 20*n/3.
-4*n*(n + 5)/3
Let -z**4 + 25*z**3 + 175*z**2 + 335*z + 186 = 0. Calculate z.
-3, -2, -1, 31
Factor 3*o**2/2 - 9*o + 15/2.
3*(o - 5)*(o - 1)/2
Factor -2*f**4 + 216*f**2 - 864*f.
-2*f*(f - 6)**2*(f + 12)
What is c in -1587*c**5/2 + 1311*c**4/2 + 1851*c**3/2 - 1299*c**2/2 - 132*c - 6 = 0?
-1, -2/23, 1
Solve -11*v**5 - 47*v**4 + 186*v**3 - 166*v**2 + 17*v + 21 = 0 for v.
-7, -3/11, 1
Find q such that 2*q**3/3 - 26*q**2/3 - 32*q = 0.
-3, 0, 16
Find g, given that 162*g**3/7 - 3258*g**2/7 + 2090*g + 18050/7 = 0.
-1, 95/9
Factor -5*d**3 + 390*d**2 - 1455*d - 1850.
-5*(d - 74)*(d - 5)*(d + 1)
Solve -4*z**4/5 + 112*z**3/5 + 24*z**2 - 112*z/5 - 116/5 = 0 for z.
-1, 1, 29
Find c such that 5*c**2 + 520*c - 525 = 0.
-105, 1
Find h such that h**3/4 + 9*h**2/4 + 27*h/4 + 27/4 = 0.
-3
Find y such that y**5 - 18*y**4 + 83*y**3 - 138*y**2 + 72*y = 0.
0, 1, 2, 3, 12
Factor 5*h**2 - 92*h/3 + 124/3.
(h - 2)*(15*h - 62)/3
Factor 4*s**2/3 - 4*s.
4*s*(s - 3)/3
Find v such that -2*v**5 - 10*v**4 + 30*v**3 + 90*v**2 - 108*v = 0.
-6, -3, 0, 1, 3
Factor 2*o**3 - 36*o**2 + 66*o - 32.
2*(o - 16)*(o - 1)**2
What is f in 5*f**3/2 - 3*f**2/2 - 6*f - 2 = 0?
-1, -2/5, 2
Factor u**5/5 + 4*u**4/5 + 3*u**3/5.
u**3*(u + 1)*(u + 3)/5
Suppose -t**3 - 21*t**2 - 80*t + 252 = 0. What is t?
-14, -9, 2
What is p in -2*p**3/5 + 286*p**2/15 + 712*p/15 - 40 = 0?
-3, 2/3, 50
Factor r**2/6 - 7*r/3 + 13/6.
(r - 13)*(r - 1)/6
Solve -13*m**5 + 83*m**4 - 17*m**3 - 83*m**2 + 30*m = 0 for m.
-1, 0, 5/13, 1, 6
Factor 5*u**5 + 25*u**4 - 20*u**3 - 100*u**2.
5*u**2*(u - 2)*(u + 2)*(u + 5)
Determine d so that 5*d**5 - 690*d**4 + 1355*d**3 + 690*d**2 - 1360*d = 0.
-1, 0, 1, 2, 136
What is h in -2*h**2/3 + 1334*h/3 + 892 = 0?
-2, 669
Find i such that -i**2 - 4*i + 5 = 0.
-5, 1
Let 5*a**5 - 50*a**4 - 35*a**3 + 380*a**2 - 300*a = 0. Calculate a.
-3, 0, 1, 2, 10
Suppose -g**2/2 - 7786*g - 30310898 = 0. What is g?
-7786
Solve 15*s**4/2 - 80*s**3 - 1115*s**2 - 1360*s - 665/2 = 0 for s.
-7, -1, -1/3, 19
Factor m**4/5 + 36*m**3/5 + 57*m**2 - 722*m/5.
m*(m - 2)*(m + 19)**2/5
Suppose -2*b**5/3 + 2102*b**4/3 + 10544*b**3/3 + 16888*b**2/3 + 2816*b = 0. What is b?
-2, -1, 0, 1056
Factor 5*q**4 + 30*q**3 - 15*q**2 - 80*q + 60.
5*(q - 1)**2*(q + 2)*(q + 6)
Factor k**3 + 12*k**2 + 48*k + 64.
(k + 4)**3
Suppose -2*t**2/5 + 354*t/5 - 352/5 = 0. What is t?
1, 176
Factor -l**2 + 108*l - 212.
-(l - 106)*(l - 2)
Factor -2*r**3/7 + 12*r**2/7 - 6*r/7 - 20/7.
-2*(r - 5)*(r - 2)*(r + 1)/7
Factor 48*o**3 - 1737*o**2 + 15876*o - 2916.
3*(o - 18)**2*(16*o - 3)
What is g in -5*g**5 - 95*g**4 - 50*g**3 + 780*g**2 + 1080*g = 0?
-18, -2, 0, 3
Determine r so that -3*r**3 + 192*r**2 - 3039*r + 2850 = 0.
1, 25, 38
Factor -6*x**3 - 4*x**2 + 38*x - 12.
-2*(x - 2)*(x + 3)*(3*x - 1)
Factor -f**3/4 - f**2/2 + 7*f/4 - 1.
-(f - 1)**2*(f + 4)/4
Let m**4 + 40*m**3 + 216*m**2 + 416*m + 272 = 0. Calculate m.
-34, -2
Solve -4*k**4 + 80*k**3 - 428*k**2 + 352*k = 0.
0, 1, 8, 11
Solve l**4/8 + 3*l**3/8 - l**2/8 - 3*l/8 = 0 for l.
-3, -1, 0, 1
What is c in 21*c**4/10 - 169*c**3/10 - 181*c**2/10 + 9*c/10 = 0?
-1, 0, 1/21, 9
Determine w so that 2*w**2 - 692*w - 694 = 0.
-1, 347
Factor -4*d**3 + 1020*d**2 - 65532*d + 64516.
-4*(d - 127)**2*(d - 1)
Suppose -i**3/5 + 7*i**2/5 + 28*i/5 + 4 = 0. Calculate i.
-2, -1, 10
Solve -3*t**4/7 - 3*t**3/7 + 3*t**2/7 + 3*t/7 = 0.
-1, 0, 1
Factor 691*c**2/2 + 345*c - 1/2.
(c + 1)*(691*c - 1)/2
Suppose 4*k**3/7 + 530*k**2/7 - 802*k/7 + 268/7 = 0. What is k?
-134, 1/2, 1
Let 2*g**2 - 140*g + 650 = 0. Calculate g.
5, 65
Suppose -d**4 + 63*d**3 - 62*d**2 = 0. Calculate d.
0, 1, 62
Determine g, given that 5*g**4 + 315*g**3 + 1205*g**2 + 1485*g + 590 = 0.
-59, -2, -1
Factor z**2/4 + 7*z/4 + 5/2.
(z + 2)*(z + 5)/4
Factor 3*o**5 - 8*o**4 + 6*o**3 - o.
o*(o - 1)**3*(3*o + 1)
Determine o so that 2*o**2 - 50 = 0.
-5, 5
Factor -2*r**4/3 - 6*r**3 + 14*r**2 - 22*r/3.
-2*r*(r - 1)**2*(r + 11)/3
Let -3*h**4 + 27*h**2 - 12*h - 36 = 0. What is h?
-3, -1, 2
Let -m**2/7 + 77*m - 538/7 = 0. What is m?
1, 538
Let -4*f**3 + 228*f**2 + 1224*f + 992 = 0. Calculate f.
-4, -1, 62
Factor 5*q**2/2 + 25*q + 45/2.
5*(q + 1)*(q + 9)/2
Let 3*h**2 + 39*h + 36 = 0. Calculate h.
-12, -1
Solve 4*s**4 + 536*s**3 + 1584*s**2 + 1576*s + 524 = 0 for s.
-131, -1
Solve 2*o**2 - 112*o + 920 = 0.
10, 46
Factor 5*p**5 + 70*p**4 - 155*p**3 + 80*p**2.
5*p**2*(p - 1)**2*(p + 16)
Factor 2*s**4/5 + 4*s**3/5 - 14*s**2/5 + 8*s/5.
2*s*(s - 1)**2*(s + 4)/5
Solve f**4/3 - f**3 - 4*f**2/3 = 0 for f.
-1, 0, 4
Factor -s**2/7 - 5254*s/7 - 6901129/7.
-(s + 2627)**2/7
Suppose -g**5/3 + 38*g**4/3 - 473*g**3/3 + 1936*g**2/3 = 0. Calculate g.
0, 11, 16
Factor -v**2/5 - 8*v/5.
-v*(v + 8)/5
Find i, given that -i**2/8 - i - 3/2 = 0.
-6, -2
Solve 2*h**2/7 - 10*h/7 - 748/7 = 0 for h.
-17, 22
Factor -3*u**3 + 519*u**2 - 10329*u + 54813.
-3*(u - 151)*(u - 11)**2
Suppose -n**4 - 11*n**3 = 0. What is n?
-11, 0
Suppose -966289*v**4/4 - 964323*v**3/2 - 958429*v**2/4 + 981*v - 1 = 0. What is v?
-1, 2/983
Factor 8*i**2 + 14*i - 22.
2*(i - 1)*(4*i + 11)
Solve -2*r**5/3 - 6*r**4 + 2*r**3/3 + 6*r**2 = 0.
-9, -1, 0, 1
Factor -297*w**2 - 147*w - 18.
-3*(9*w + 2)*(11*w + 3)
Factor o**4 + 11*o**3 - 3*o**2 - 31*o + 22.
(o - 1)**2*(o + 2)*(o + 11)
Factor 3*z**2/7 + 6*z.
3*z*(z + 14)/7
Solve -u**2/3 + 2536*u/3 - 845 = 0 for u.
1, 2535
Solve -2*r**5/9 + 2*r**4/9 + 14*r**3/9 - 2*r**2/9 - 4*r/3 = 0.
-2, -1, 0, 1, 3
Factor 49*j**2/4 - 301*j/2 + 1849/4.
(7*j - 43)**2/4
Factor 3*u**3 + 75*u**2 + 504*u + 432.
3*(u + 1)*(u + 12)**2
Determine d, given that -2*d**5 + 456*d**4 - 24096*d**3 - 217120*d**2 - 334176*d = 0.
-6, -2, 0, 118
Factor d**2/5 + 164*d/5 + 6724/5.
(d + 82)**2/5
Factor -3*u**3 + 54*u**2.
-3*u**2*(u - 18)
Find v, given that -v**5 + 2*v**4 + 7*v**3 - 20*v**2 + 12*v = 0.
-3, 0, 1, 2
Factor 2*c**4/3 - 494*c**3/3 + 164*c**2.
2*c**2*(c - 246)*(c - 1)/3
Determine j so that 8978*j**2 + 2412*j + 162 = 0.
-9/67
Factor i**4/6 - 3*i**3/2 - i**2/6 + 3*i/2.
i*(i - 9)*(i - 1)*(i + 1)/6
Factor -g**4 - 7*g**3 + 17*g**2 - 9*g.
-g*(g - 1)**2*(g + 9)