- 426*i/5.
-2*i*(i + 213)/5
Factor 3*g**3 - 53*g**2 + 33*g + 17.
(g - 17)*(g - 1)*(3*g + 1)
Solve 8*v**5/5 - 14*v**4/5 + 3*v**3/5 + 4*v**2/5 - v/5 = 0 for v.
-1/2, 0, 1/4, 1
Factor 4*q**2 - 72*q - 1440.
4*(q - 30)*(q + 12)
Factor w**3/3 - 6*w**2 + 288.
(w - 12)**2*(w + 6)/3
Determine q, given that -3*q**3 + 102*q**2 - 360*q = 0.
0, 4, 30
Factor -3*y**5 + 6*y**4 - 6*y**2 + 3*y.
-3*y*(y - 1)**3*(y + 1)
Factor 639*k**3 + 1047*k**2 + 396*k - 12.
3*(k + 1)*(3*k + 2)*(71*k - 2)
Solve -o**3/4 + 3*o**2/2 + 16*o + 24 = 0 for o.
-4, -2, 12
Factor 9*z**3 + 30*z**2 - 3*z - 36.
3*(z - 1)*(z + 3)*(3*z + 4)
Solve 9*i**3/4 - 111*i**2/2 + 141*i/4 + 18 = 0 for i.
-1/3, 1, 24
Solve 4*b**3/3 - 80*b**2 + 1892*b/3 - 952 = 0 for b.
2, 7, 51
Determine l so that -36*l**5 - 208*l**4 + 84*l**3 + 208*l**2 - 48*l = 0.
-6, -1, 0, 2/9, 1
Factor 116*c**4 + 13000*c**3 + 364672*c**2 + 25088*c.
4*c*(c + 56)**2*(29*c + 2)
What is q in 2*q**3 - 4628*q**2 - 18536*q - 18544 = 0?
-2, 2318
Suppose 2*k**3 + 252*k**2 - 2*k - 252 = 0. What is k?
-126, -1, 1
Factor v**5/6 + 5*v**4/6 - v**3/2 - 17*v**2/6 - 5*v/3.
v*(v - 2)*(v + 1)**2*(v + 5)/6
Factor 15*z**3 + 72*z**2 + 108*z + 48.
3*(z + 2)**2*(5*z + 4)
Factor 2*w**2 - 146*w + 144.
2*(w - 72)*(w - 1)
Factor 3*s**3/7 - 108*s**2/7 + 1296*s/7 - 5184/7.
3*(s - 12)**3/7
What is c in c**3 + 9*c**2 = 0?
-9, 0
Factor -14*o**2 + 58*o - 60.
-2*(o - 2)*(7*o - 15)
Find t such that -4*t**3 - 260*t**2 + 1384*t - 1120 = 0.
-70, 1, 4
Factor -250*x**3 + 150*x**2 - 45*x/2.
-5*x*(10*x - 3)**2/2
Determine p, given that p**3/8 + 5*p**2/8 - 11*p/4 + 2 = 0.
-8, 1, 2
Let 2*r**5 - 16*r**4 - 348*r**3 - 1280*r**2 - 950*r = 0. Calculate r.
-5, -1, 0, 19
What is x in -x**2/5 + 2076*x/5 - 1077444/5 = 0?
1038
Suppose r**5/2 + 47*r**4/2 + 381*r**3 + 2295*r**2 + 4725*r/2 - 10125/2 = 0. What is r?
-15, -3, 1
Find d such that -4*d**2 - 88*d - 468 = 0.
-13, -9
Let -2*a**3/7 - 3508*a**2/7 + 3510*a/7 = 0. What is a?
-1755, 0, 1
Factor -2*r**2/7 - 768*r/7 - 1528/7.
-2*(r + 2)*(r + 382)/7
Find l, given that 40*l**5 - 34*l**4 - 40*l**3 + 22*l**2 + 12*l = 0.
-3/4, -2/5, 0, 1
Factor -4*t**3 + 60*t**2 - 192*t + 176.
-4*(t - 11)*(t - 2)**2
Let -m**4 + 21*m**3 - 120*m**2 - 64*m + 1536 = 0. What is m?
-3, 8
Factor 4*x**4 + 276*x**3 - 4*x**2 - 276*x.
4*x*(x - 1)*(x + 1)*(x + 69)
Factor -2*n**4 + 4*n**3 - 4*n + 2.
-2*(n - 1)**3*(n + 1)
Solve 4*u**5 - 4*u**4 - 24*u**3 + 56*u**2 - 44*u + 12 = 0.
-3, 1
Solve 4*k**2 + 2484*k + 2480 = 0 for k.
-620, -1
Suppose -u**2/6 + 19*u/6 - 3 = 0. What is u?
1, 18
Solve -x**3 + 23*x**2 + 53*x - 75 = 0 for x.
-3, 1, 25
Determine u, given that -u**3 + 4*u**2 + 21*u = 0.
-3, 0, 7
Find p, given that -32*p**2 + 108*p - 36 = 0.
3/8, 3
What is o in -3*o**2/2 + 63*o - 1023/2 = 0?
11, 31
Let -4*h**5/3 - 4*h**4 - 8*h**3/3 + 8*h**2/3 + 4*h + 4/3 = 0. Calculate h.
-1, 1
Factor 2*f**4/3 + 4*f**3 - 2*f**2 - 104*f/3 - 40.
2*(f - 3)*(f + 2)**2*(f + 5)/3
Factor 2*c**5 + 14*c**4 - 36*c**3.
2*c**3*(c - 2)*(c + 9)
Suppose 3*z**4 - 195*z**3/4 + 243*z**2 - 1407*z/4 + 147/2 = 0. Calculate z.
1/4, 2, 7
Suppose -2*q**2/3 - 1472*q/3 - 270848/3 = 0. What is q?
-368
Find q, given that -5*q**4 - 45*q**3 - 145*q**2 - 195*q - 90 = 0.
-3, -2, -1
Solve -6*g**5/5 + 166*g**4/5 - 508*g**3/5 - 8756*g**2/5 - 18462*g/5 - 5202/5 = 0.
-3, -1/3, 17
Suppose 5*z**2 + 1190*z + 1185 = 0. Calculate z.
-237, -1
Factor v**2/3 + 22*v/3 - 203/3.
(v - 7)*(v + 29)/3
Factor -6*d**3/5 - 264*d**2/5 - 150*d - 492/5.
-6*(d + 1)*(d + 2)*(d + 41)/5
Let -f**4/4 - f**3 - f**2/4 + 3*f/2 = 0. Calculate f.
-3, -2, 0, 1
Factor -4*s**5 - 888*s**4 - 48384*s**3 + 100352*s**2.
-4*s**2*(s - 2)*(s + 112)**2
Let -4*g**2/3 - 84*g - 1323 = 0. Calculate g.
-63/2
Factor -t**4/4 - 27*t**3/4 - 59*t**2/2 - 45*t - 22.
-(t + 1)*(t + 2)**2*(t + 22)/4
Let -t**4/4 + 3*t**2/2 + 2*t + 3/4 = 0. Calculate t.
-1, 3
Factor 36*x**3 + 80*x**2 - 1244*x - 280.
4*(x - 5)*(x + 7)*(9*x + 2)
Factor s**4/4 + 162*s**3 + 26244*s**2.
s**2*(s + 324)**2/4
Suppose -2*i**4/11 - 24*i**3/11 - 62*i**2/11 + 24*i/11 + 64/11 = 0. Calculate i.
-8, -4, -1, 1
Factor 15*z**3 - 48*z**2 - 93*z + 126.
3*(z - 1)*(z + 2)*(5*z - 21)
Factor 3*t**4 - 27*t**3 + 63*t**2 - 57*t + 18.
3*(t - 6)*(t - 1)**3
Factor 220*d**3 - 1304*d**2 + 1884*d + 144.
4*(d - 3)**2*(55*d + 4)
Find t such that 5*t**3 - 45*t**2 + 115*t - 75 = 0.
1, 3, 5
Factor -5*q**3 + 60*q**2 + 1260*q + 4320.
-5*(q - 24)*(q + 6)**2
Determine b, given that -3*b**4/7 - 12*b**3/7 + 27*b**2/7 + 108*b/7 = 0.
-4, -3, 0, 3
Suppose 7*t**2/2 + 737*t/2 + 105 = 0. Calculate t.
-105, -2/7
Determine w so that 12*w**5 + 63*w**4 - 42*w**3 - 297*w**2 - 24*w + 180 = 0.
-5, -2, -1, 3/4, 2
Factor 2*i**3 + 20*i**2 - 400*i.
2*i*(i - 10)*(i + 20)
Let -75*l**3/7 + 10155*l**2/7 - 579*l + 405/7 = 0. What is l?
1/5, 135
Factor 2*k**3 + 4746*k**2 + 3754086*k + 989827342.
2*(k + 791)**3
Determine v so that 14*v**5/3 - 36*v**4 + 262*v**3/3 - 56*v**2 - 24*v = 0.
-2/7, 0, 2, 3
Factor -2*m**2 + 750*m + 752.
-2*(m - 376)*(m + 1)
Determine u so that 4*u**2/3 + 392*u/3 - 132 = 0.
-99, 1
Factor -b**3/7 + 118*b**2/7 - 115*b/7 - 234/7.
-(b - 117)*(b - 2)*(b + 1)/7
Factor -d**4/9 - 136*d**3/3 - 41206*d**2/9 + 27880*d/3 - 42025/9.
-(d - 1)**2*(d + 205)**2/9
Solve m**4/5 + 2*m**3/5 - 9*m**2/5 - 2*m/5 + 8/5 = 0 for m.
-4, -1, 1, 2
Let 5*b**2 + 115*b = 0. What is b?
-23, 0
Factor -k**3/8 + 7*k**2/2 - 135*k/8 - 171/2.
-(k - 19)*(k - 12)*(k + 3)/8
Solve -2*p**5/5 + 2*p**4 + 28*p**3/5 + 4*p**2/5 - 26*p/5 - 14/5 = 0 for p.
-1, 1, 7
Factor -2*w**2 + 3864*w - 1866312.
-2*(w - 966)**2
Determine o so that -14*o**4/3 + 320*o**3/3 + 1136*o**2/3 + 256*o/3 - 416 = 0.
-2, 6/7, 26
Find s such that -2*s**5 - 1256*s**4/3 + 2566*s**3/9 + 9644*s**2/9 - 3392*s/9 - 2240/3 = 0.
-210, -1, 4/3
Solve -x**2/6 - 7*x = 0 for x.
-42, 0
Solve -3*q**4 + 2979*q**3 - 986049*q**2 + 108794073*q = 0.
0, 331
Factor -2*x**4 - 68*x**3 - 498*x**2 - 432*x.
-2*x*(x + 1)*(x + 9)*(x + 24)
Determine s, given that -3975*s**2 + 3965*s + 10 = 0.
-2/795, 1
Factor -a**3/2 - 21*a**2/2 + 77*a - 108.
-(a - 4)*(a - 2)*(a + 27)/2
Solve 2*p**3/7 + 90*p**2/7 + 88*p/7 = 0.
-44, -1, 0
Solve 5*t**5 + 20*t**4 - 105*t**3 + 20*t**2 + 140*t = 0.
-7, -1, 0, 2
Solve 10*n**4/9 - 76*n**3/9 - 232*n**2/9 - 80*n/9 = 0 for n.
-2, -2/5, 0, 10
Factor r**3 - 2*r**2 - r + 2.
(r - 2)*(r - 1)*(r + 1)
Factor -3*t**4/4 + 39*t**3/2 - 423*t**2/4 - 273*t - 147.
-3*(t - 14)**2*(t + 1)**2/4
Find l, given that 4*l**3 + 144*l**2 + 276*l + 136 = 0.
-34, -1
Solve -r**2/4 - 5*r/4 + 3/2 = 0.
-6, 1
Factor -4*q**2 + 476*q + 480.
-4*(q - 120)*(q + 1)
Factor 3*r**2 - 159*r - 504.
3*(r - 56)*(r + 3)
Determine j so that -3*j**5 - 12*j**4/5 + 108*j**3/5 - 6*j**2/5 - 93*j/5 + 18/5 = 0.
-3, -1, 1/5, 1, 2
Determine a so that 21*a**2 - 813*a - 234 = 0.
-2/7, 39
Find i such that -19*i**3 - 40*i**2 + 53*i + 6 = 0.
-3, -2/19, 1
Factor -36*s**4 - 3464*s**3 - 83712*s**2 - 18432*s.
-4*s*(s + 48)**2*(9*s + 2)
Let -3*q**5/2 + 18*q**4 - 45*q**3 + 42*q**2 - 27*q/2 = 0. Calculate q.
0, 1, 9
Determine w, given that -4*w**4 + 56*w**3 + 68*w**2 - 120*w = 0.
-2, 0, 1, 15
Factor -h**2/2 + 32*h + 66.
-(h - 66)*(h + 2)/2
Factor -2*i**3/3 + 188*i**2/3 + 1402*i/3 + 404.
-2*(i - 101)*(i + 1)*(i + 6)/3
Factor 3*m**2 - 54*m - 57.
3*(m - 19)*(m + 1)
Solve -6*w**5 + 38*w**4 - 66*w**3 + 42*w**2 - 8*w = 0.
0, 1/3, 1, 4
Solve 5*z**3 + 655*z**2 - 2030*z - 2680 = 0.
-134, -1, 4
Let 10*n**5/3 - 101*n**4/2 - 1417*n**3/6 - 297*n**2/2 + 317*n/6 + 19 = 0. What is n?
-3, -1, -1/4, 2/5, 19
Factor 3*h**4 + 18*h**3 + 12*h**2 - 18*h - 15.
3*(h - 1)*(h + 1)**2*(h + 5)
Find d, given that -2*d**5/7 - 12*d**4 - 458*d**3/7 - 960*d**2/7 - 872*d/7 - 288/7 = 0.
-36, -2, -1
Determine j, given that 2*j**4/7 - 6*j**3/7 + 8*j/7 = 0.
-1, 0, 2
Solve -2*y**5/7 + 48*y**3/7 - 124*y**2/7 + 114*y/7 - 36/7 = 0 for y.
-6, 1, 3
Factor 5*t**2 - 660*t + 2560.
5*(t - 128)*(t - 4)
What is v in 2*v**5/11 + 20*v**4/11 + 28*v**3/11 - 128*v**2/11 - 174*v/11 + 252/11 = 0?
-7, -3, 1, 2
Factor -2*b**4 + 16*b**3 - 32*b**2.
-2*b**2*(b - 4)**2
Factor -g**5/4 + 9*g**4/2 - 71*g**3/4 + 37*g**2/2 + 15*g - 26.
-(g - 13)*(g - 2)**3*(g + 1)/4
Find m such that -m**2/2 + 3072*m - 4718592 = 0.
3072
Factor -16*i**4 + 192*i**3 - 180*i**2 + 44*i.
-4*i*(i - 11)*(2*i - 1)**2
Suppose 2*f**3 + 2*f**2 - 32*f - 32 = 0. Calculate f.
-4, -1, 4
Det