5 - 173.
(q - 5)*(q + 173)/5
Factor c**3 + 176*c**2 + 349*c + 174.
(c + 1)**2*(c + 174)
Factor -f**2/4 + 71*f/2 + 72.
-(f - 144)*(f + 2)/4
Find a such that -3*a**3 + 108*a**2 + 48*a - 1728 = 0.
-4, 4, 36
Determine i, given that 2*i**4 - 22*i**3 + 48*i**2 + 8*i - 64 = 0.
-1, 2, 8
Factor -a**2/11 - 21*a/11 + 100/11.
-(a - 4)*(a + 25)/11
Let -2*f**3/9 - 16*f**2/9 - 40*f/9 - 32/9 = 0. Calculate f.
-4, -2
Determine l so that -5*l**4 - 185*l**3 - 2100*l**2 - 7040*l - 5120 = 0.
-16, -4, -1
Factor -4*f**3/9 - 59*f**2/9 - 41*f/9 + 14/9.
-(f + 1)*(f + 14)*(4*f - 1)/9
Find z, given that -2*z**2/5 + 302*z/5 - 60 = 0.
1, 150
Factor -3*i**3 + 81*i**2 - 222*i + 144.
-3*(i - 24)*(i - 2)*(i - 1)
Factor p**2/8 - 4*p - 57/2.
(p - 38)*(p + 6)/8
Factor -3*t**3 - 813*t**2 - 2418*t - 1608.
-3*(t + 1)*(t + 2)*(t + 268)
Solve -2*k**3 + 16794*k**2 - 47006406*k + 43856976798 = 0.
2799
What is h in -h**5/2 + 18*h**4 - 51*h**3 + 50*h**2 - 33*h/2 = 0?
0, 1, 33
Factor -5*t**4 - 25*t**3 - 45*t**2 - 35*t - 10.
-5*(t + 1)**3*(t + 2)
Determine g so that 9*g**5 + 479*g**4 + 79*g**3 - 1419*g**2 + 640*g + 212 = 0.
-53, -2, -2/9, 1
Factor -3*n**2 - 1236*n - 127308.
-3*(n + 206)**2
Find t such that 4*t**3 - 32*t**2 + 52*t - 24 = 0.
1, 6
Determine h so that -h**5/4 + 6*h**4 - 215*h**3/4 + 220*h**2 - 396*h + 224 = 0.
1, 4, 7, 8
Determine f so that f**5/2 + 3*f**4/2 - 11*f**3/2 - 27*f**2/2 + 5*f + 12 = 0.
-4, -2, -1, 1, 3
Solve q**4 - 126*q**3 - 648*q**2 - 914*q - 393 = 0 for q.
-3, -1, 131
Factor -i**4 - 132*i**3 - 6534*i**2 - 143748*i - 1185921.
-(i + 33)**4
Determine z so that 2*z**4/15 + 118*z**3/5 + 10586*z**2/15 + 6154*z + 82076/15 = 0.
-142, -17, -1
Factor -a**4/5 + 11*a**3/5 - 31*a**2/5 + 21*a/5.
-a*(a - 7)*(a - 3)*(a - 1)/5
Factor 3*k**3/7 + 3309*k**2/7 - 6627*k/7 + 3315/7.
3*(k - 1)**2*(k + 1105)/7
Suppose -x**4/4 - 3*x**3 - 13*x**2 - 24*x - 16 = 0. Calculate x.
-4, -2
Let -i**5/5 - 14*i**4/5 - 69*i**3/5 - 124*i**2/5 + 16*i/5 + 192/5 = 0. What is i?
-4, -3, 1
Determine c so that -5*c**3 + 65*c**2 - 210*c = 0.
0, 6, 7
Factor p**2/10 - 277*p/5 + 76729/10.
(p - 277)**2/10
Factor -y**5 - 4*y**4 - 4*y**3 + 2*y**2 + 5*y + 2.
-(y - 1)*(y + 1)**3*(y + 2)
Factor -2*x**2/7 + 124*x/7 + 256/7.
-2*(x - 64)*(x + 2)/7
Factor u**4/4 - 13*u**3/4 - 13*u**2 + 16*u.
u*(u - 16)*(u - 1)*(u + 4)/4
Factor 72*h**3 - 42*h**2 - 27*h - 3.
3*(h - 1)*(4*h + 1)*(6*h + 1)
Determine o, given that o**5 - 2*o**4 + o**3 = 0.
0, 1
Factor 4*g**3 - 252*g**2 + 5292*g - 37044.
4*(g - 21)**3
Find l, given that -2*l**4/7 + 92*l**3/7 - 88*l**2/7 - 92*l/7 + 90/7 = 0.
-1, 1, 45
Factor j**3/3 - 1358*j**2 + 1844164*j - 2504374712/3.
(j - 1358)**3/3
Find j such that j**5/7 + 12*j**4/7 + 7*j**3 + 90*j**2/7 + 76*j/7 + 24/7 = 0.
-6, -2, -1
What is a in -2*a**2 + 4*a + 16 = 0?
-2, 4
Factor w**4/2 - 23*w**3/2 - 25*w**2/2 + 23*w/2 + 12.
(w - 24)*(w - 1)*(w + 1)**2/2
Factor o**3/4 - o**2/2 - 29*o/4 - 21/2.
(o - 7)*(o + 2)*(o + 3)/4
Suppose -63*u**4 - 7221*u**3 - 4410*u**2 + 4116*u + 1368 = 0. What is u?
-114, -1, -2/7, 2/3
Factor 2*f**3/11 - 12*f**2/11 - 14*f/11.
2*f*(f - 7)*(f + 1)/11
Let -3*k**5 + 27*k**4 - 45*k**3 + 21*k**2 = 0. What is k?
0, 1, 7
Factor -3*s**5 + 3*s**4 + 6*s**3 - 6*s**2 - 3*s + 3.
-3*(s - 1)**3*(s + 1)**2
Suppose 3*b**5 + 3*b**4 - 27*b**3 + 33*b**2 - 12*b = 0. What is b?
-4, 0, 1
Factor 4*t**2 + 6012*t - 6016.
4*(t - 1)*(t + 1504)
Solve u**3 + 16*u**2 - 80*u = 0.
-20, 0, 4
Factor 2*l**3/9 + 68*l**2/9 + 128*l/9.
2*l*(l + 2)*(l + 32)/9
Let -4*d**4 + 8*d**3 - 4*d**2 = 0. What is d?
0, 1
Factor 2*l**3/9 + 26*l**2/3 - 240*l + 11800/9.
2*(l - 10)**2*(l + 59)/9
Let -4*r**4/7 - 1348*r**3/7 - 111520*r**2/7 + 346800*r/7 = 0. What is r?
-170, 0, 3
What is u in 22*u**3/9 + 94*u**2/3 - 52*u/9 = 0?
-13, 0, 2/11
Let m**5/3 - 2*m**4 - m**3/3 + 38*m**2/3 - 32/3 = 0. What is m?
-2, -1, 1, 4
Suppose -4*d**4 - 26*d**3 - 30*d**2 + 2*d + 10 = 0. Calculate d.
-5, -1, 1/2
Factor 3*y**3 + 21*y**2 + 36*y.
3*y*(y + 3)*(y + 4)
Factor k**4 + 126*k**3 + 3969*k**2.
k**2*(k + 63)**2
What is d in -d**4 + 225*d**3 + 1150*d**2 = 0?
-5, 0, 230
Find f such that -3*f**3 - 27*f**2 + 63*f - 33 = 0.
-11, 1
Suppose 3*j**4/4 - 15*j**3/4 + 27*j**2/4 - 21*j/4 + 3/2 = 0. What is j?
1, 2
What is l in 2*l**4 - 6*l**2 + 4*l = 0?
-2, 0, 1
Suppose -6*i**4 + 21*i**3 + 84*i**2 + 36*i = 0. Calculate i.
-2, -1/2, 0, 6
Solve -6*z**2 - 117*z/2 + 15 = 0.
-10, 1/4
Factor r**2 + 221*r - 222.
(r - 1)*(r + 222)
Determine t so that 2*t**2 - 722 = 0.
-19, 19
Suppose -5*d**5 - 25*d**4 = 0. What is d?
-5, 0
Let w**2/5 - 494*w/5 + 61009/5 = 0. What is w?
247
Factor n**3/8 - 53*n**2/4 + 209*n/8 - 13.
(n - 104)*(n - 1)**2/8
Factor m**3/10 + 87*m**2/10 + 621*m/5.
m*(m + 18)*(m + 69)/10
Let 7*w**4 + 2*w**3 - 7*w**2 - 2*w = 0. What is w?
-1, -2/7, 0, 1
Factor -5*v**4 + 15*v**3 + 120*v**2 + 140*v.
-5*v*(v - 7)*(v + 2)**2
Factor 2*i**4 + 8*i**3 + 12*i**2 + 8*i + 2.
2*(i + 1)**4
Find u such that -3*u**4/5 - 8*u**3/5 + 23*u**2/5 + 72*u/5 + 36/5 = 0.
-3, -2, -2/3, 3
Determine i so that 20*i**4 - 615*i**3 - 810*i**2 + 305*i + 480 = 0.
-1, 3/4, 32
Determine n, given that 2*n**5/3 - 4*n**4 - 10*n**3 - 16*n**2/3 = 0.
-1, 0, 8
Factor -3*s**4 - 2514*s**3 - 529191*s**2 - 1050852*s - 524172.
-3*(s + 1)**2*(s + 418)**2
Factor 2*c**3 + 1286*c**2 + 207366*c + 206082.
2*(c + 1)*(c + 321)**2
Factor 65*g**2 + 62*g - 3.
(g + 1)*(65*g - 3)
Factor 2*r**2/5 + 62*r/5.
2*r*(r + 31)/5
Find t, given that -2*t**5/5 - 2*t**4/5 + 12*t**3 - 152*t**2/5 + 112*t/5 = 0.
-7, 0, 2
Suppose a**4 + 14*a**3 - 240*a**2 = 0. What is a?
-24, 0, 10
Solve w**2/3 - 26*w/3 - 560/3 = 0 for w.
-14, 40
Determine f, given that -2*f**2/3 + 70*f/3 + 196 = 0.
-7, 42
Factor -k**3 + 7*k**2 - 6*k.
-k*(k - 6)*(k - 1)
Determine x so that -5*x**3 - 2320*x**2 + 5*x + 2320 = 0.
-464, -1, 1
Suppose 5*f**2 + 30*f + 45 = 0. What is f?
-3
Factor 2*u**3 + 10*u**2 - 26*u + 14.
2*(u - 1)**2*(u + 7)
Solve 27*w**5 + 870*w**4 + 1029*w**3 + 186*w**2 = 0.
-31, -1, -2/9, 0
Factor -v**2 - 83*v/3 - 18.
-(v + 27)*(3*v + 2)/3
Factor -2*t**5 - 328*t**4 - 13772*t**3 - 26568*t**2 - 13122*t.
-2*t*(t + 1)**2*(t + 81)**2
Factor -3*z**3 + 54*z**2 - 96*z.
-3*z*(z - 16)*(z - 2)
Find f, given that f**3/2 + f**2 - 31*f/2 + 14 = 0.
-7, 1, 4
Suppose -2*c**4 - 50*c**3 - 378*c**2 - 814*c - 484 = 0. What is c?
-11, -2, -1
Factor 3*u**2 - 84*u + 588.
3*(u - 14)**2
Let 2*g**5/15 + 2*g**4/5 - 2*g**3/5 - 14*g**2/15 + 4*g/5 = 0. Calculate g.
-3, -2, 0, 1
Factor g**3/3 - 2503*g**2 + 4700008*g - 14092516/3.
(g - 3754)**2*(g - 1)/3
Factor -2*o**3/5 + 12*o**2/5 - 18*o/5.
-2*o*(o - 3)**2/5
Factor 3*d**4 + 48*d**3 + 213*d**2 + 168*d - 432.
3*(d - 1)*(d + 4)**2*(d + 9)
Suppose -198*i**3/5 + 246*i**2/5 - 64*i/5 - 8/5 = 0. Calculate i.
-1/11, 2/3
Find u such that -u**5/2 - 45*u**4/2 - 357*u**3 - 2254*u**2 - 4116*u = 0.
-14, -3, 0
Factor 3*m**2 - 9684*m + 7814988.
3*(m - 1614)**2
Factor q**3/8 + 23*q**2/4 + 529*q/8.
q*(q + 23)**2/8
Factor f**2 - 6694*f + 11202409.
(f - 3347)**2
Factor a**4/3 - 11*a**3/3 - 14*a**2/3 + 8*a.
a*(a - 12)*(a - 1)*(a + 2)/3
Suppose n**5 + 1882*n**4/7 + 125416*n**3/7 - 20790*n**2 + 18225*n/7 = 0. What is n?
-135, 0, 1/7, 1
Factor -2*c**2/9 - 88*c/9 - 86/9.
-2*(c + 1)*(c + 43)/9
Factor -4*i**3/3 - 248*i**2/3 - 2180*i/3 - 5200/3.
-4*(i + 5)**2*(i + 52)/3
Factor -2*i**4 + 34*i**3 + 206*i**2 + 302*i + 132.
-2*(i - 22)*(i + 1)**2*(i + 3)
Find b, given that b**5 + 50*b**4 - 2*b**3 - 100*b**2 + b + 50 = 0.
-50, -1, 1
Factor x**2 + 12*x.
x*(x + 12)
Factor -2*i**4/5 + 192*i**3/5 + 392*i**2/5.
-2*i**2*(i - 98)*(i + 2)/5
Suppose -5*f**2 - 2245*f - 2240 = 0. Calculate f.
-448, -1
Let -2*c**3/3 + 2*c**2 + 6*c + 10/3 = 0. Calculate c.
-1, 5
Let 3*a**2/8 - 219*a/8 - 243 = 0. What is a?
-8, 81
Let -5*i**4 + 315*i**3 + 2010*i**2 + 4100*i + 2760 = 0. What is i?
-2, 69
Let -4*a**5/7 - 10*a**4/7 + 22*a**3/7 + 40*a**2/7 - 24*a/7 = 0. What is a?
-3, -2, 0, 1/2, 2
What is z in z**3 - 42*z**2 - 384*z - 800 = 0?
-4, 50
Factor -3*z**2 + 1248*z - 129792.
-3*(z - 208)**2
Factor -2*t**3/5 - 26*t**2/5 - 102*t/5 - 126/5.
-2*(t + 3)**2*(t + 7)/5
Solve -2*k**2 + 84*k - 82 = 0 for k.
1, 41
Factor -3*p**5 - 177*p**4 + 549*p**3 - 555*p**2 + 186*p.
-3*p*(p - 1)**3*(p + 62)
Factor g**3/2 + 159*g**2 - 2269*g/2 + 975.
(g - 6)*(g - 1)*(g + 325)/2
Suppose 35*u**5 + 585*u**4 + 1825*u**3 + 1775*u**2 +