nd q, given that -3*q**4 - 18*q**3 + 9*q**2 + 48*q - 36 = 0.
-6, -2, 1
Determine g, given that -g**4/7 + 16*g**3/7 + 75*g**2/7 + 14*g + 40/7 = 0.
-2, -1, 20
Determine n, given that n**5/4 + n**4 + 3*n**3/4 - n**2 - n = 0.
-2, -1, 0, 1
Solve 2*q**2 + 38*q - 40 = 0.
-20, 1
Factor 5*n**2/3 - 190*n/3 + 275.
5*(n - 33)*(n - 5)/3
Factor -m**3 - 31*m**2 + m + 31.
-(m - 1)*(m + 1)*(m + 31)
Factor -b**3/5 + 1022*b**2 - 1305605*b.
-b*(b - 2555)**2/5
Factor 2*x**5 - 22*x**4 + 64*x**3 - 56*x**2.
2*x**2*(x - 7)*(x - 2)**2
Find n, given that -4*n**2 - 60*n + 136 = 0.
-17, 2
Let -3*s**4/5 - 78*s**3/5 - 579*s**2/5 - 936*s/5 - 432/5 = 0. What is s?
-12, -1
Factor 4*s**2 + 464*s + 3052.
4*(s + 7)*(s + 109)
Solve -k**4 - 11*k**3 + 3*k**2 + 35*k + 22 = 0 for k.
-11, -1, 2
Factor -5*p**3 - 330*p**2 - 6300*p - 27000.
-5*(p + 6)*(p + 30)**2
Factor 3*f**2 - 63*f - 138.
3*(f - 23)*(f + 2)
Factor -o**3/5 + 153*o**2/5 + 1128*o/5 - 256.
-(o - 160)*(o - 1)*(o + 8)/5
Determine z, given that 2*z**2/9 - 62*z/9 - 44/3 = 0.
-2, 33
Determine n so that 4*n**4 + 16*n**3 - 4*n**2 - 16*n = 0.
-4, -1, 0, 1
Let 5*r**4 + 640*r**3 - 650*r**2 - 640*r + 645 = 0. Calculate r.
-129, -1, 1
Factor -5*y**3 - 165*y**2.
-5*y**2*(y + 33)
Factor i**5 - 9*i**4 + 32*i**3 - 56*i**2 + 48*i - 16.
(i - 2)**4*(i - 1)
Let -2*a**3 - 16*a**2 + 22*a + 36 = 0. What is a?
-9, -1, 2
Factor 2*j**2/11 - 158*j/11 + 156/11.
2*(j - 78)*(j - 1)/11
Factor q**5/3 - 14*q**4 + 115*q**3 + 2116*q**2/3.
q**2*(q - 23)**2*(q + 4)/3
Solve -5*f**2 + 1145*f - 1140 = 0 for f.
1, 228
Factor 5*y**3 + 195*y**2 + 1800*y - 2000.
5*(y - 1)*(y + 20)**2
Find s, given that s**3/9 - 202*s**2/9 + 400*s/9 = 0.
0, 2, 200
Let 4563*k**5 - 73398*k**4 + 298068*k**3 - 21672*k**2 - 13440*k + 1536 = 0. Calculate k.
-2/9, 2/13, 8
Factor -4*x**2 + 24*x - 32.
-4*(x - 4)*(x - 2)
Factor -5*k**5 - 125*k**4 - 575*k**3 + 2525*k**2 - 2800*k + 980.
-5*(k - 1)**3*(k + 14)**2
Factor 3*z**2/4 - 6033*z/2.
3*z*(z - 4022)/4
Factor -2*x**2/3 - 262*x/3.
-2*x*(x + 131)/3
Determine y, given that -2*y**4/21 - 62*y**3/21 - 32*y**2/3 - 72*y/7 = 0.
-27, -2, 0
Factor c**2/8 + 9*c/8 + 5/2.
(c + 4)*(c + 5)/8
Factor -5*v**5 - 100*v**4 + 105*v**3.
-5*v**3*(v - 1)*(v + 21)
What is m in 5*m**2 + 1505*m = 0?
-301, 0
Factor -o**2 + 31*o - 84.
-(o - 28)*(o - 3)
Factor u**2/6 - 5*u/6 + 2/3.
(u - 4)*(u - 1)/6
Let 2*h**2/5 + 30556*h/5 + 116708642/5 = 0. Calculate h.
-7639
Determine n, given that -n**2/8 + 9*n/2 + 19/2 = 0.
-2, 38
What is u in 3*u**5 + 33*u**4 - 162*u**3 + 258*u**2 - 177*u + 45 = 0?
-15, 1
Factor -4*n**3 + 1292*n**2 + 7896*n.
-4*n*(n - 329)*(n + 6)
Factor -m**4 - 15*m**3 - 14*m**2.
-m**2*(m + 1)*(m + 14)
Determine x, given that 2*x**3 - 114*x**2 + 1152*x + 14336 = 0.
-7, 32
Let u**5/2 + 3*u**4/2 - 7*u**3 - 9*u**2 + 13*u/2 + 15/2 = 0. What is u?
-5, -1, 1, 3
Find d, given that -5*d**2 - 130*d - 840 = 0.
-14, -12
Let m**3/3 + 6*m**2 + 32*m/3 = 0. Calculate m.
-16, -2, 0
Suppose -2*q**5/3 - 14*q**4/3 + 364*q**3/3 - 1628*q**2/3 + 2230*q/3 - 950/3 = 0. What is q?
-19, 1, 5
Factor -r**3/8 - 197*r**2/8 - 1122*r + 18207/2.
-(r - 7)*(r + 102)**2/8
Factor 4*p**2 + 80*p - 84.
4*(p - 1)*(p + 21)
Let -j**3/2 + 21*j**2/2 + 97*j/2 + 75/2 = 0. What is j?
-3, -1, 25
Factor f**2/6 - 9*f + 243/2.
(f - 27)**2/6
Find b such that 2*b**2/17 - 22*b/17 - 24/17 = 0.
-1, 12
Factor 2*v**4/19 - 18*v**3/19 - 44*v**2/19.
2*v**2*(v - 11)*(v + 2)/19
Determine c, given that c**4/8 - 5*c**3/8 - 3*c**2/8 + 17*c/8 - 5/4 = 0.
-2, 1, 5
Determine l so that -2*l**3/7 + 18*l**2/7 + 14*l + 78/7 = 0.
-3, -1, 13
Factor -3*v**3 + 13*v**2 + 11*v - 5.
-(v - 5)*(v + 1)*(3*v - 1)
Factor -4*i**2 + 132*i - 248.
-4*(i - 31)*(i - 2)
Find d such that -9*d**3/4 - 39*d**2/4 + 15*d/2 = 0.
-5, 0, 2/3
Determine u, given that -2*u**2/3 + 232*u/3 - 1010 = 0.
15, 101
Solve f**3/7 + 197*f**2/7 + 5031*f/7 - 506493/7 = 0.
-117, 37
Suppose f**3/3 + 15*f**2 + 359*f/3 + 105 = 0. Calculate f.
-35, -9, -1
Factor -203*s**2/6 + 103*s/3 - 1/2.
-(s - 1)*(203*s - 3)/6
Solve -34*v**5 + 70*v**4 + 30*v**3 - 70*v**2 + 4*v = 0 for v.
-1, 0, 1/17, 1, 2
Factor -o**3/9 + 5*o**2/9 + 74*o/3 + 24.
-(o - 18)*(o + 1)*(o + 12)/9
Factor -w**5/3 + 5*w**4/3 - 2*w**3 - 2*w**2/3 + 7*w/3 - 1.
-(w - 3)*(w - 1)**3*(w + 1)/3
Factor -c**2/7 - 8*c - 49.
-(c + 7)*(c + 49)/7
Solve f**2/4 + 29*f/2 = 0 for f.
-58, 0
Factor c**2/2 + 178*c + 15842.
(c + 178)**2/2
Let 4*r**2 + 20*r = 0. Calculate r.
-5, 0
Factor 4*h**4 - 14*h**3 - 28*h**2 - 10*h.
2*h*(h - 5)*(h + 1)*(2*h + 1)
Let -l**2/3 - 68*l/9 - 44/9 = 0. Calculate l.
-22, -2/3
Find f, given that f**2/2 + 2263*f + 5121169/2 = 0.
-2263
Factor w**2/2 - 19*w + 325/2.
(w - 25)*(w - 13)/2
Factor -2*j**3/15 - 514*j**2/15.
-2*j**2*(j + 257)/15
Factor -2*a**4/5 - 100*a**3 - 27456*a**2/5 + 487872*a/5.
-2*a*(a - 14)*(a + 132)**2/5
Suppose -2*k**2/11 - 144*k/11 + 146/11 = 0. Calculate k.
-73, 1
Find g, given that 2*g**3 - 186*g**2 = 0.
0, 93
Find o, given that -o**5/2 + 38*o**4 + 835*o**3/2 + 1075*o**2 = 0.
-5, 0, 86
Solve 4*y**3 + 3604*y**2 + 7196*y + 3596 = 0.
-899, -1
What is b in 5*b**2 - 7670*b + 2941445 = 0?
767
Find l such that -l**2 - 1506*l - 567009 = 0.
-753
Solve -2*s**5/13 - 94*s**4/13 - 1436*s**3/13 - 6464*s**2/13 + 11264*s/13 + 16384/13 = 0 for s.
-16, -1, 2
Factor -2*n**5 + 36*n**4 - 28*n**3 - 112*n**2 + 174*n - 68.
-2*(n - 17)*(n - 1)**3*(n + 2)
Determine f, given that 2*f**2/5 - 936*f/5 + 109512/5 = 0.
234
Factor 2*j**2/5 - 28*j.
2*j*(j - 70)/5
Factor -133563*l**2 - 1266*l - 3.
-3*(211*l + 1)**2
Determine d so that 5*d**2 + 530*d + 14045 = 0.
-53
Factor 4*i**4 - 28*i**3 - 84*i**2 + 108*i.
4*i*(i - 9)*(i - 1)*(i + 3)
Factor -r**2/2 + 31*r/2 - 65.
-(r - 26)*(r - 5)/2
Suppose -d**3/2 - 245*d**2/2 + d/2 + 245/2 = 0. Calculate d.
-245, -1, 1
Solve 4*b**2 + 56*b - 60 = 0.
-15, 1
What is b in -4*b**2/7 + 6456*b/7 - 2604996/7 = 0?
807
What is p in 400*p**5 + 3840*p**4 + 10116*p**3 + 3580*p**2 - 2772*p + 324 = 0?
-9/2, -1, 1/5
Factor -u**2/3 + 454*u/3 - 904/3.
-(u - 452)*(u - 2)/3
Solve 4*y**4 - 56*y**3 + 52*y**2 = 0 for y.
0, 1, 13
Suppose 14*g**4 + 108*g**3 + 234*g**2 + 92*g - 48 = 0. What is g?
-4, -3, -1, 2/7
Find p such that 20*p**5 - 568*p**4 + 4644*p**3 - 8528*p**2 + 2704*p = 0.
0, 2/5, 2, 13
Let -9*a**3 - 726*a**2 - 14880*a - 9600 = 0. Calculate a.
-40, -2/3
Let 4*n**2/3 - 2176*n/3 - 3660 = 0. What is n?
-5, 549
Let 4*n**5/7 + 48*n**4/7 + 44*n**3/7 = 0. Calculate n.
-11, -1, 0
What is s in -4*s**2 + 160*s - 1600 = 0?
20
Find y such that -2*y**2/3 + 74*y/3 - 320/3 = 0.
5, 32
Suppose -3*v**5/2 - 27*v**4/2 + 231*v**3/2 - 549*v**2/2 + 264*v - 90 = 0. What is v?
-15, 1, 2
Suppose 3*j**5/8 + 105*j**4/8 + 12*j**3 - 51*j**2/2 = 0. What is j?
-34, -2, 0, 1
Factor 5*a**2 - 25*a - 2070.
5*(a - 23)*(a + 18)
Factor -3*a**3/5 - 39*a**2 + 3*a/5 + 39.
-3*(a - 1)*(a + 1)*(a + 65)/5
Suppose -1015*l**2 + 8115*l + 40 = 0. Calculate l.
-1/203, 8
Factor -4*f**3 + 40*f**2 + f - 10.
-(f - 10)*(2*f - 1)*(2*f + 1)
Factor -5*a**4 - 130*a**3 - 125*a**2.
-5*a**2*(a + 1)*(a + 25)
Factor -4*o**3 - 688*o**2 - 676*o + 1368.
-4*(o - 1)*(o + 2)*(o + 171)
What is j in -4*j**3/7 + 1336*j**2/7 - 112880*j/7 + 220448/7 = 0?
2, 166
Factor -2*o**2 + 6152*o - 4730888.
-2*(o - 1538)**2
Factor -x**3/3 + 7*x**2/3 - 8*x/3 - 16/3.
-(x - 4)**2*(x + 1)/3
Suppose -2*n**4/5 + 28*n**3/5 - 114*n**2/5 + 144*n/5 = 0. Calculate n.
0, 3, 8
Factor 2*q**4 - 550*q**3 + 38624*q**2 - 110976*q.
2*q*(q - 136)**2*(q - 3)
Let 2*n**2/15 + 152*n/15 + 10 = 0. What is n?
-75, -1
Find j such that j**2 - 290*j + 289 = 0.
1, 289
Factor -2*l**2 + 44*l + 46.
-2*(l - 23)*(l + 1)
Determine k, given that 31*k**3 + 42*k**2 - 31*k - 42 = 0.
-42/31, -1, 1
Factor -2*s**2/7 - 32*s + 226/7.
-2*(s - 1)*(s + 113)/7
Factor -2*x**3/9 + 74*x/9 + 56/3.
-2*(x - 7)*(x + 3)*(x + 4)/9
Factor -3*s**3 + 309*s**2 + 3024*s.
-3*s*(s - 112)*(s + 9)
Let -p**3/4 + 2*p**2 - 11*p/4 - 5 = 0. What is p?
-1, 4, 5
Let -4*f**4 + 208*f**3 - 3456*f**2 + 15552*f + 46656 = 0. What is f?
-2, 18
Factor -2*x**3 - 42*x**2.
-2*x**2*(x + 21)
Find u, given that u**2/3 + 778*u/3 - 779/3 = 0.
-779, 1
Determine i, given that -3*i**4 + 75*i**3 - 618*i**2 + 1860*i - 1800 = 0.
2, 3, 10
Solve -3*w**4 - 24*w**3 - 24*w**2 + 96*w + 144 = 0.
-6, -2, 2
Let -c**5 - 8*c**4 - 21*c**3 - 18*c**2 = 0. Calculate c.
-3, -2, 0
Factor -2*y**3 - 76*y**2