3 - 224*y**2 + 816*y + 576 = 0. Calculate y.
-3, -2/3, 2, 4
Factor -a**2 + 842*a.
-a*(a - 842)
Determine f, given that -f**2 - 10*f + 119 = 0.
-17, 7
Factor -p**5/2 - 7*p**4/2 - 15*p**3/2 - 13*p**2/2 - 2*p.
-p*(p + 1)**3*(p + 4)/2
Factor -r**2 + 324*r - 26244.
-(r - 162)**2
Factor -4*z**4 + 36*z**3 - 56*z**2 - 96*z.
-4*z*(z - 6)*(z - 4)*(z + 1)
Factor 5*b**3 - 25*b**2 - 220*b - 300.
5*(b - 10)*(b + 2)*(b + 3)
Find i such that -5*i**4 - 10*i**3 + 5*i**2 + 10*i = 0.
-2, -1, 0, 1
Let 2*o**4 - 28*o**3 + 130*o**2 - 200*o = 0. Calculate o.
0, 4, 5
Factor 47*q**3 + 190*q**2 + 196*q + 8.
(q + 2)**2*(47*q + 2)
Determine u, given that -u**5/2 + 3*u**4 - 11*u**3/2 + u**2 + 6*u - 4 = 0.
-1, 1, 2
Factor -g**4/8 - 9*g**3/8 - 15*g**2/4 - 11*g/2 - 3.
-(g + 2)**3*(g + 3)/8
Suppose 2*b**2/5 - 832*b/5 + 86528/5 = 0. Calculate b.
208
Let -25*r**4 + 45*r**3 + 95*r**2 - 45*r - 70 = 0. Calculate r.
-1, 1, 14/5
Determine n so that -n**5/2 - 155*n**4/4 - 1065*n**3/4 - 515*n**2/2 + 353*n + 210 = 0.
-70, -6, -2, -1/2, 1
Let -n**5 + 118*n**4 - 3710*n**3 + 13568*n**2 - 16473*n + 6498 = 0. What is n?
1, 2, 57
Factor -21*z**3/8 + 39*z**2/4 + 3*z.
-3*z*(z - 4)*(7*z + 2)/8
Factor n**5/4 - 17*n**4/4 + 63*n**3/4 + 81*n**2/4.
n**2*(n - 9)**2*(n + 1)/4
Factor m**5/3 - 100*m**4/3 - 172*m**3 - 938*m**2/3 - 733*m/3 - 70.
(m - 105)*(m + 1)**3*(m + 2)/3
Let -g**5/4 + 2*g**4 + 4*g**3 - 31*g**2/2 - 15*g/4 + 27/2 = 0. What is g?
-3, -1, 1, 2, 9
Factor y**3 + 52*y**2 + 51*y.
y*(y + 1)*(y + 51)
Solve -22*l**4/9 - 73*l**3/9 + 124*l**2/9 + 244*l/9 - 16/3 = 0 for l.
-4, -3/2, 2/11, 2
Factor 5*o**3 - 35*o - 30.
5*(o - 3)*(o + 1)*(o + 2)
Find r such that r**2/3 - 409*r/3 = 0.
0, 409
What is a in -3*a**4/8 + 35*a**3/8 - 13*a**2/2 + 5*a/2 = 0?
0, 2/3, 1, 10
Factor -4*w**2 + 156*w - 1232.
-4*(w - 28)*(w - 11)
Solve 3*d**5 - 22*d**4 + 52*d**3/3 + 238*d**2/3 + 131*d/3 + 20/3 = 0 for d.
-1, -1/3, 4, 5
Factor 2*b**3 + 132*b**2 - 270*b + 136.
2*(b - 1)**2*(b + 68)
Solve 2*n**5 + 12*n**4 + 22*n**3 + 12*n**2 = 0 for n.
-3, -2, -1, 0
Let 3189796*a**2/3 + 14288*a/3 + 16/3 = 0. What is a?
-2/893
Suppose a**3 + 18*a**2 - 19*a = 0. Calculate a.
-19, 0, 1
Factor -2*j**3/3 + 38*j**2/3 - 160*j/3 - 200/3.
-2*(j - 10)**2*(j + 1)/3
Factor 5*m**2 + 1075*m + 2130.
5*(m + 2)*(m + 213)
Determine m so that 4*m**4 + 632*m**3 + 23652*m**2 - 104976*m = 0.
-81, 0, 4
Determine f, given that -2*f**5/7 - 18*f**4/7 - 54*f**3/7 - 54*f**2/7 = 0.
-3, 0
Suppose -4*j**3 - 28*j**2 - 40*j = 0. Calculate j.
-5, -2, 0
Find p such that 3*p**4 - 6*p**3 = 0.
0, 2
Factor 5*j**3 + 195*j**2 + 330*j - 1480.
5*(j - 2)*(j + 4)*(j + 37)
Find z, given that -z**2/11 - 69*z/11 + 216/11 = 0.
-72, 3
Solve -q**5/10 + 9*q**4 + 183*q**3/10 + 46*q**2/5 = 0.
-1, 0, 92
Solve -k**2 - 120*k + 244 = 0 for k.
-122, 2
Factor -27*d**5 + 702*d**4 - 5274*d**3 + 3248*d**2 + 58029*d + 48778.
-(d + 1)*(d + 2)*(3*d - 29)**3
Factor -3*a**2/2 + 63*a - 123/2.
-3*(a - 41)*(a - 1)/2
Factor w**2/7 + 589*w/7 + 84.
(w + 1)*(w + 588)/7
Solve -2*f**2/9 + 2*f = 0.
0, 9
Factor -4*p**2/7 - 76*p/7 - 352/7.
-4*(p + 8)*(p + 11)/7
Factor 2*c**4/5 + 14*c**3/5 - 6*c**2/5 - 38*c/5 + 28/5.
2*(c - 1)**2*(c + 2)*(c + 7)/5
Factor 2*d**2/15 + 28*d/5 - 86/15.
2*(d - 1)*(d + 43)/15
Factor -25*j**2/6 - 2255*j/3 - 203401/6.
-(5*j + 451)**2/6
Solve d**2 + 281*d = 0 for d.
-281, 0
Factor 43681*w**2 + 836*w + 4.
(209*w + 2)**2
Determine f so that -4*f**5 + 4400*f**4 - 1936000*f**3 + 425920000*f**2 - 46851200000*f + 2061452800000 = 0.
220
Factor t**3/4 + 67*t**2/2 - 138*t.
t*(t - 4)*(t + 138)/4
Let 245*h**5 - 385*h**4 - 3760*h**3 - 2680*h**2 + 2480*h - 400 = 0. Calculate h.
-2, 2/7, 5
Suppose 3*v**5 + 57*v**4 + 153*v**3 - 1377*v**2 - 3240*v + 12636 = 0. Calculate v.
-13, -6, 3
Factor -34*z**2 - 72*z - 8.
-2*(z + 2)*(17*z + 2)
Determine i, given that i**4/4 - 117*i**3/2 + 13453*i**2/4 + 6903*i + 3481 = 0.
-1, 118
Factor z**4/2 + 23*z**3/2 + 135*z**2/2 - 243*z/2 - 1458.
(z - 4)*(z + 9)**3/2
Factor -2*h**4 + 193*h**3/2 - 1176*h**2 + 288*h.
-h*(h - 24)**2*(4*h - 1)/2
Solve 1101*o**2/2 - 3*o = 0.
0, 2/367
Factor 7*f**4 - 404*f**3 - 956*f**2 - 240*f.
f*(f - 60)*(f + 2)*(7*f + 2)
Find d such that -2*d**2 + 8*d = 0.
0, 4
Factor -5*m**3/2 + 30*m**2 + 75*m/2 - 65.
-5*(m - 13)*(m - 1)*(m + 2)/2
Factor 4*j**4/3 + 25*j**3/2 + 43*j**2/3 - 7*j/2 - 20/3.
(j + 1)**2*(j + 8)*(8*j - 5)/6
Find w such that w**4/5 + 27*w**3 + 399*w**2/5 + 397*w/5 + 132/5 = 0.
-132, -1
Solve 5*s**5 - 150*s**4 + 740*s**3 - 450*s**2 - 745*s + 600 = 0 for s.
-1, 1, 5, 24
Factor -y**3/8 + 21*y**2/8.
-y**2*(y - 21)/8
Factor -4*t**4 - 468*t**3 - 1380*t**2 - 1372*t - 456.
-4*(t + 1)**3*(t + 114)
Solve 4*m**2/3 - 704*m - 2116/3 = 0.
-1, 529
Determine f so that 95*f**2 + 60*f - 155 = 0.
-31/19, 1
Factor -3*y**4 + 48*y**3 - 105*y**2 - 156*y.
-3*y*(y - 13)*(y - 4)*(y + 1)
What is z in -2*z**2 + 82*z - 228 = 0?
3, 38
Let 28*b**2/9 - 178004*b/9 + 16952/3 = 0. What is b?
2/7, 6357
Factor -12*p**3 - 14064*p**2 + 14073*p - 3519.
-3*(p + 1173)*(2*p - 1)**2
Factor 2*h**2/3 + 10*h/3.
2*h*(h + 5)/3
Let 2*z**2/9 - 1288*z/9 + 207368/9 = 0. What is z?
322
Factor -n**3 - 36*n**2 + 891*n - 4374.
-(n - 9)**2*(n + 54)
Suppose 2*d**2 + 294*d - 1208 = 0. What is d?
-151, 4
Factor -980*t**3 - 1540*t**2 + 795*t - 90.
-5*(t + 2)*(14*t - 3)**2
Suppose 2*p**2/5 - 492*p/5 - 992/5 = 0. Calculate p.
-2, 248
Factor w**2 - 5*w - 6.
(w - 6)*(w + 1)
Factor -49*f**4/8 - 21*f**3/4 - f**2.
-f**2*(7*f + 2)*(7*f + 4)/8
Factor -3*v**5 + 18*v**4 - 36*v**3 + 30*v**2 - 9*v.
-3*v*(v - 3)*(v - 1)**3
Let x**3 - 70*x**2 + 1073*x + 5476 = 0. Calculate x.
-4, 37
Solve 8*k**5/3 - 876*k**4 + 2595*k**3/2 + 20575*k**2/6 + 2833*k/2 + 327/2 = 0 for k.
-1, -1/4, 3, 327
Let -x**2 + 203*x - 202 = 0. Calculate x.
1, 202
Factor 2*u**2/5 - 16*u/5 - 18/5.
2*(u - 9)*(u + 1)/5
Determine p so that -p**3/2 - 6*p**2 + 31*p/2 + 21 = 0.
-14, -1, 3
Factor 2*y**3/3 - 154*y**2 - 3332*y/3.
2*y*(y - 238)*(y + 7)/3
Find t such that -6*t**5/5 - 8*t**4/5 + 36*t**3/5 + 96*t**2/5 + 82*t/5 + 24/5 = 0.
-4/3, -1, 3
Find f, given that -75*f**5/4 - 410*f**4 - 1355*f**3/4 + 105*f**2/2 = 0.
-21, -1, 0, 2/15
What is o in 2*o**3 + 48*o**2/7 - 38*o/7 - 24/7 = 0?
-4, -3/7, 1
Factor 4*s**2 - 140*s + 384.
4*(s - 32)*(s - 3)
Suppose -3*d**2/4 - 165*d/2 + 333/4 = 0. What is d?
-111, 1
Factor 5*i**4 + 195*i**3 + 1995*i**2 + 1805*i.
5*i*(i + 1)*(i + 19)**2
Let 4*l**4/7 - 16*l**3/7 + 12*l**2/7 = 0. What is l?
0, 1, 3
What is y in 105*y**4 - 325*y**3 + 240*y**2 - 20*y = 0?
0, 2/21, 1, 2
Let 1540*i**5 - 3086*i**4 - 2702*i**3 + 1996*i**2 - 8*i - 80 = 0. What is i?
-1, -2/11, 2/7, 2/5, 5/2
Suppose -5*m**2 + 29420*m - 43276820 = 0. What is m?
2942
Let n**3 - 15*n**2 + 48*n - 44 = 0. What is n?
2, 11
Factor w**2/3 + 40*w/3.
w*(w + 40)/3
Factor -248*q**2/3 - 242*q + 260/3.
-2*(4*q + 13)*(31*q - 10)/3
Let -3*o**5 - 24*o**4 - 45*o**3 = 0. Calculate o.
-5, -3, 0
Find l such that -l**3 + 5*l**2 + 56*l - 60 = 0.
-6, 1, 10
Find w, given that 2*w**5 - 154*w**4 + 2876*w**3 + 3828*w**2 - 15678*w + 9126 = 0.
-3, 1, 39
What is a in -a**3/6 - 44*a**2/3 = 0?
-88, 0
What is w in 2*w**4/9 - 4*w**3/3 - 14*w**2/9 + 32*w/3 - 8 = 0?
-3, 1, 2, 6
Let 2*n**5 + 6*n**4 - 12*n**3 - 20*n**2 + 42*n - 18 = 0. What is n?
-3, 1
Factor -m**5 + 13*m**4 - 32*m**3 + 20*m**2.
-m**2*(m - 10)*(m - 2)*(m - 1)
Find g, given that -g**2/6 - 7*g/6 - 1 = 0.
-6, -1
Factor -g**4/7 - 82*g**3/7.
-g**3*(g + 82)/7
Factor -8*p**5 - 160*p**4 - 154*p**3 - 38*p**2.
-2*p**2*(p + 19)*(2*p + 1)**2
Factor 5*h**4 + 290*h**3 + 1815*h**2 + 1530*h.
5*h*(h + 1)*(h + 6)*(h + 51)
Solve 13*m**2 - 15*m + 2 = 0 for m.
2/13, 1
Factor -25*l**4/8 + 295*l**3/8 - 88*l**2 - 128*l.
-l*(l + 1)*(5*l - 32)**2/8
Determine c so that c**3/2 + 99*c**2/2 + 1512*c + 13230 = 0.
-42, -15
Factor 7*i**2/4 - 41*i/2 - 117/4.
(i - 13)*(7*i + 9)/4
Let -2*z**4/7 - 64*z**3/7 - 660*z**2/7 - 400*z - 4250/7 = 0. Calculate z.
-17, -5
Factor -3*f**2/5 + 6*f + 72/5.
-3*(f - 12)*(f + 2)/5
Determine a, given that -4*a**4 + 54*a**3 - 228*a**2 + 392*a - 240 = 0.
2, 15/2
Suppose 405*h**3/4 - 46485*h**2/2 - 10345*h - 1150 = 0. Calculate h.
-2/9, 230
Factor -2*n**3/3 + 25*n**2/6 - n.
-n*(n - 6)*(4*n - 1)/6
Factor 2*n**4/13 + 16*n**3/13 + 14*n**2/13.
2*n**2*(n + 1)*(n + 7)/13
Factor -b**2/3 + 2*b/3 + 5.
-(b - 5)*(b + 3)/3
Suppose 3*s**4/2 + 58*s**3/