Factor n**5 - 57*n**4 - 3*n**3 + 169*n**2 + 114*n.
n*(n - 57)*(n - 2)*(n + 1)**2
Factor 2*m**3/7 - 96*m**2/7 + 522*m/7 - 108.
2*(m - 42)*(m - 3)**2/7
Solve 8*u**5/7 - 52*u**4/7 + 12*u**3 - 8*u**2/7 - 32*u/7 = 0.
-1/2, 0, 1, 2, 4
Factor d**3/4 - 5*d**2/4 + 7*d/4 - 3/4.
(d - 3)*(d - 1)**2/4
Factor g**2/9 - 652*g/9 - 436/3.
(g - 654)*(g + 2)/9
Factor 2*s**2 - 52*s.
2*s*(s - 26)
Determine j, given that 4*j**5 + 44*j**4 - 296*j**3 + 384*j**2 = 0.
-16, 0, 2, 3
Suppose -4*p**5 + 12*p**4 + 4*p**3 - 28*p**2 + 16 = 0. What is p?
-1, 1, 2
Factor v**4 - 5*v**3 - 11*v**2 + 33*v - 18.
(v - 6)*(v - 1)**2*(v + 3)
Find q, given that 12*q**4/5 - 16*q**3/5 - 64*q**2/5 + 64*q/5 + 64/5 = 0.
-2, -2/3, 2
Factor -t**2/10 - 81*t/5.
-t*(t + 162)/10
Find v such that -3*v**3 - 168*v**2 - 624*v = 0.
-52, -4, 0
Determine b, given that 2*b**3 - 397*b**2 - 2239*b - 1020 = 0.
-5, -1/2, 204
Factor -8*s**4/9 + 1192*s**3/9 - 43802*s**2/9 - 14900*s/3 - 1250.
-2*(s - 75)**2*(2*s + 1)**2/9
What is f in 2*f**5/5 - 632*f**4/5 + 51178*f**3/5 - 197812*f**2/5 + 244608*f/5 - 97344/5 = 0?
1, 2, 156
Suppose 4*i**5 + 244*i**4 - 1844*i**3 + 4028*i**2 - 3520*i + 1088 = 0. Calculate i.
-68, 1, 4
What is b in -10*b**4 + 245*b**3 + 1930*b**2 + 2695*b - 1860 = 0?
-4, -3, 1/2, 31
Factor -21*s**2/4 + 18*s - 15.
-3*(s - 2)*(7*s - 10)/4
Factor 3*h**4 + 24*h**3 - 90*h**2 + 96*h - 33.
3*(h - 1)**3*(h + 11)
Factor -n**4/3 + 2*n**3/3 + n**2/3 - 2*n/3.
-n*(n - 2)*(n - 1)*(n + 1)/3
Suppose -5*q**4 - 15*q**3 + 135*q**2 - 65*q - 210 = 0. Calculate q.
-7, -1, 2, 3
Determine j so that -j**4/3 - 7*j**3/3 - 4*j**2 + 4*j/3 + 16/3 = 0.
-4, -2, 1
Factor -u**2/3 + 10*u/3 - 3.
-(u - 9)*(u - 1)/3
Factor 4*v**4/5 - 12*v**3 + 276*v**2/5 - 388*v/5 + 168/5.
4*(v - 7)*(v - 6)*(v - 1)**2/5
Factor -4*f**3 - 15732*f**2 - 20624652*f - 9012972924.
-4*(f + 1311)**3
Factor -36*j**2 + 57*j - 21.
-3*(j - 1)*(12*j - 7)
Suppose 2*s**3 - 1058*s**2 + 3160*s - 2104 = 0. What is s?
1, 2, 526
Determine k so that -4*k**2/9 + 340*k/9 = 0.
0, 85
What is g in -5*g**3 - 5*g**2 + 920*g + 1820 = 0?
-13, -2, 14
Determine a, given that 2*a**3 - 64*a**2/3 - 1160*a/3 + 800/3 = 0.
-10, 2/3, 20
Let -25*n**5/4 + 5*n**4 + 61*n**3/4 + n**2 - 3*n = 0. What is n?
-1, -3/5, 0, 2/5, 2
Determine g so that 2*g**5 - 2*g**4 - 18*g**3 - 22*g**2 - 8*g = 0.
-1, 0, 4
Factor -5*c**3 + 30*c**2 + 185*c + 150.
-5*(c - 10)*(c + 1)*(c + 3)
Solve s**4/5 + 6172*s**3/5 + 14285094*s**2/5 + 14694600028*s/5 + 5668441960801/5 = 0.
-1543
Find w, given that 3*w**4 + 45*w**3 - 237*w**2 - 117*w + 1026 = 0.
-19, -2, 3
Let -2*a**3/3 - 38*a**2/3 + 100*a/3 + 112 = 0. What is a?
-21, -2, 4
Find l such that -912*l**3/5 - 238*l**2/5 + 28*l/5 + 2/5 = 0.
-1/3, -1/19, 1/8
Determine f so that 5*f**4/2 + 29*f**3 - 82*f**2 + 28*f = 0.
-14, 0, 2/5, 2
Let -2*m**5/7 - 60*m**4/7 + 2280*m**3/7 + 7180*m**2/7 + 7290*m/7 + 2448/7 = 0. Calculate m.
-51, -1, 24
Factor 248*r**2/5 - 22*r + 12/5.
2*(4*r - 1)*(31*r - 6)/5
Let t**2/12 - 17*t/6 + 16/3 = 0. Calculate t.
2, 32
Suppose -2*s**3 - 12*s**2 + 8*s + 48 = 0. What is s?
-6, -2, 2
Determine h so that 2*h**4 + 66*h**3 = 0.
-33, 0
Factor -7*q**3 + 1320*q**2 + 567*q.
-q*(q - 189)*(7*q + 3)
Solve -2*o**3/11 + 46*o**2/11 = 0.
0, 23
Find p, given that 7*p**4 + 47*p**3 + 14*p**2 - 92*p + 24 = 0.
-6, -2, 2/7, 1
Factor -4*s**2 - 120*s - 224.
-4*(s + 2)*(s + 28)
Factor -845*w**5 - 3510*w**4 - 525*w**3 - 20*w**2.
-5*w**2*(w + 4)*(13*w + 1)**2
Find q such that -2*q**2/15 - 194*q/15 - 64/5 = 0.
-96, -1
Factor 3*y**4 - 117*y**3 + 1359*y**2 - 3723*y - 5202.
3*(y - 17)**2*(y - 6)*(y + 1)
What is k in 2*k**3/3 - 393*k**2 + 57820*k + 87025/3 = 0?
-1/2, 295
Determine j so that 3*j**4 + 12*j**3 + 9*j**2 = 0.
-3, -1, 0
Suppose 3*d**3/5 + 33*d**2/5 + 108*d/5 + 108/5 = 0. What is d?
-6, -3, -2
Suppose -5*a**3 - 15*a**2 + 5*a + 15 = 0. What is a?
-3, -1, 1
Factor -2*n**2/7 - 100*n/7 + 1342/7.
-2*(n - 11)*(n + 61)/7
Let 2*z**2 + 46*z + 44 = 0. Calculate z.
-22, -1
Let -2*s**4 + 504*s**3 - 32742*s**2 + 124496*s - 92256 = 0. Calculate s.
1, 3, 124
Factor 2*b**2/9 - 26*b/9 + 8.
2*(b - 9)*(b - 4)/9
Suppose -15*c**5/7 - 33*c**4/7 + 279*c**3/7 + 51*c**2 + 60*c/7 = 0. What is c?
-5, -1, -1/5, 0, 4
Factor 12*f**3 - 32*f**2 - 12*f + 32.
4*(f - 1)*(f + 1)*(3*f - 8)
Suppose 4*g**2 - 1536*g + 147456 = 0. What is g?
192
Factor 2*l**3 + 690*l**2 - 1388*l.
2*l*(l - 2)*(l + 347)
What is b in -6*b**3/11 - 102*b**2/11 + 1788*b/11 - 1680/11 = 0?
-28, 1, 10
Determine t so that 2*t**4 - 362*t**3 + 4128*t**2 - 12168*t = 0.
0, 6, 169
Factor y**2/7 - 20*y/7 - 3.
(y - 21)*(y + 1)/7
Factor -3*w**2 + 558*w.
-3*w*(w - 186)
Factor -5*r**3 + 80*r**2 + 85*r.
-5*r*(r - 17)*(r + 1)
Solve -3*r**2 + 30*r + 288 = 0.
-6, 16
What is t in -2*t**3 - 60*t**2 - 450*t - 1000 = 0?
-20, -5
Determine u, given that -u**2/4 + 119*u/4 - 117/2 = 0.
2, 117
Determine v, given that 5*v**3 + 145*v**2 - 5*v - 145 = 0.
-29, -1, 1
Let 2*y**5/9 - 4*y**4/9 - 2*y**3 + 28*y**2/9 + 40*y/9 - 16/3 = 0. Calculate y.
-2, 1, 2, 3
Suppose 2*n**3/11 - 12*n**2/11 + 18*n/11 = 0. Calculate n.
0, 3
Determine l so that 2*l**5/3 - 46*l**3/3 + 12*l**2 + 80*l/3 = 0.
-5, -1, 0, 2, 4
Suppose r**4/5 + 12*r**3/5 + 17*r**2/5 - 6*r = 0. Calculate r.
-10, -3, 0, 1
Factor 2*q**2/5 - 178*q/5 + 516/5.
2*(q - 86)*(q - 3)/5
Let -3*g**3 - 36*g**2 - 135*g - 162 = 0. Calculate g.
-6, -3
Solve -2*p**5 + 124*p**4 - 2132*p**3 + 9992*p**2 + 17030*p - 25012 = 0 for p.
-2, 1, 13, 37
Determine a, given that a**2/6 + 16*a + 384 = 0.
-48
Factor -m**4/5 + m**3 + 33*m**2/5 + 27*m/5.
-m*(m - 9)*(m + 1)*(m + 3)/5
Factor -2*h**3/11 - 108*h**2/11 - 1938*h/11 - 11552/11.
-2*(h + 16)*(h + 19)**2/11
Factor 39*k**2 + 155*k - 4.
(k + 4)*(39*k - 1)
What is p in -21*p**5 - 96*p**4 - 27*p**3 + 96*p**2 + 48*p = 0?
-4, -1, -4/7, 0, 1
Let 2*k**4/7 + 18*k**3/7 + 8*k**2 + 72*k/7 + 32/7 = 0. Calculate k.
-4, -2, -1
What is q in 3*q**2 + 648*q + 34992 = 0?
-108
Factor -w**3 - 2*w**2 + 8*w.
-w*(w - 2)*(w + 4)
Suppose 4*k**3 - 15540*k**2 + 20124300*k - 8686989500 = 0. Calculate k.
1295
Factor 3*b**4 - 3*b**3 - 9*b**2 + 3*b + 6.
3*(b - 2)*(b - 1)*(b + 1)**2
Solve 6*v**4 - 21*v**3 + 9*v**2 + 24*v - 12 = 0 for v.
-1, 1/2, 2
Factor 2*h**3 - 100*h**2 + 1250*h.
2*h*(h - 25)**2
Factor 18*g**3 + 2211*g**2 + 1827*g - 366.
3*(g + 1)*(g + 122)*(6*g - 1)
Factor 2*n**4 + 62*n**3 + 448*n**2 - 512*n.
2*n*(n - 1)*(n + 16)**2
Factor 2*f**4 - 28*f**3 - 78*f**2 + 1232*f + 3872.
2*(f - 11)**2*(f + 4)**2
Factor -2*y**3/3 + 914*y**2/3 - 32074*y - 636582.
-2*(y - 237)**2*(y + 17)/3
Factor -76*u**4/9 + 68*u**3/9 + 8*u**2/9.
-4*u**2*(u - 1)*(19*u + 2)/9
Suppose 33*r**5 + 60*r**4 - 45*r**3 - 60*r**2 + 12*r = 0. Calculate r.
-2, -1, 0, 2/11, 1
Determine i so that 2*i**5/15 + 4*i**4/5 - 28*i**3/15 - 32*i**2/5 + 26*i/15 + 28/5 = 0.
-7, -2, -1, 1, 3
Factor -2*f**2 + 62*f - 216.
-2*(f - 27)*(f - 4)
Factor 8*p**4/13 - 6*p**3/13 - 2*p**2/13.
2*p**2*(p - 1)*(4*p + 1)/13
Find o, given that 4*o**4 - 256*o**3 + 1976*o**2 + 256*o - 1980 = 0.
-1, 1, 9, 55
Factor 7*p**3/5 + 513*p**2/5 - 878*p - 1296/5.
(p - 8)*(p + 81)*(7*p + 2)/5
Suppose 4*f**3 + 1044*f**2 = 0. What is f?
-261, 0
Let 3*d**4 + 21*d**3 + 18*d**2 = 0. Calculate d.
-6, -1, 0
What is c in 2*c**3/13 - 72*c**2/13 - 422*c/13 + 492/13 = 0?
-6, 1, 41
Suppose 2*j**4/9 - 4*j**3/9 - 2*j**2 + 4*j = 0. What is j?
-3, 0, 2, 3
Factor -3*w**4 - 39*w**3 - 153*w**2 - 105*w + 300.
-3*(w - 1)*(w + 4)*(w + 5)**2
What is s in -39*s**2 + 21*s + 18 = 0?
-6/13, 1
Let 3*a**5 + 192*a**4 + 3594*a**3 + 16704*a**2 + 22707*a = 0. Calculate a.
-29, -3, 0
Factor -2*y**3/5 - 2988*y**2/5 - 1194*y - 2984/5.
-2*(y + 1)**2*(y + 1492)/5
Factor -2*c**3 + 8*c**2 + 120*c - 576.
-2*(c - 6)**2*(c + 8)
Factor f**3 + 139*f**2/3 + 1633*f/3 + 529/3.
(f + 23)**2*(3*f + 1)/3
Find y, given that -2*y**5 + 20*y**4 - 62*y**3 + 44*y**2 + 64*y - 64 = 0.
-1, 1, 2, 4
Suppose 4*s**4 + 304*s**3 + 1452*s**2 + 2288*s + 1136 = 0. What is s?
-71, -2, -1
Factor w**3/2 - 111*w**2/2 + 3135*w/2 - 3025/2.
(w - 55)**2*(w - 1)/2
Factor -2*r**3/19 + 108*r**2/19 - 1560*r/19 + 2704/19.
-2*(r - 26)**2*(r - 2)/19
Solve -90*s**4/13 - 94*s**3/13 - 4*s**2/13 = 0.
-1, -2/45, 0
Let -k**4/5 - 6*k**3/5 = 0. Calculate k.
-6, 0
Suppose -2*o**5 + 200*o**4 - 3896*o**3 - 55468*o**2 - 136070*o - 84700 = 0. Calculate o.
-7, -2, -1, 55
Factor 2*h**2 - 60*h.
2