w**4 + 315*w**3 + 120*w**2 - 700*w + 240 = 0.
-12, -2, 2/5, 1
Determine a so that 111*a**2 - 228*a + 12 = 0.
2/37, 2
Determine i so that 9*i**5/2 - 25*i**4/2 - 51*i**3/2 + 17*i**2/2 + 21*i + 4 = 0.
-1, -2/9, 1, 4
Solve -4*y**5 - 3336*y**4 - 685488*y**3 + 4193312*y**2 - 8440320*y + 5644800 = 0.
-420, 2
Factor -3*f**4 + 186*f**3 - 531*f**2 - 12*f + 708.
-3*(f - 59)*(f - 2)**2*(f + 1)
Determine l, given that 3*l**2 + 1002*l - 4056 = 0.
-338, 4
Suppose -5*a**5 - 55*a**4 + 200*a**3 - 140*a**2 = 0. Calculate a.
-14, 0, 1, 2
Factor 3*u**2/7 + 267*u/7 + 2160/7.
3*(u + 9)*(u + 80)/7
Factor -3*b**4/2 + 9*b**3/2 + 39*b**2/2 - 45*b/2.
-3*b*(b - 5)*(b - 1)*(b + 3)/2
Suppose 7*n**4 - 2304*n**3 + 1320174*n**2/7 + 1140480*n/7 + 245025/7 = 0. Calculate n.
-3/7, 165
Factor -16*n**2/9 - 124*n/3 - 92/9.
-4*(n + 23)*(4*n + 1)/9
What is z in 6*z**2/5 - 248*z/5 - 168/5 = 0?
-2/3, 42
Suppose 5*v**3 - 35*v**2 - 220*v = 0. Calculate v.
-4, 0, 11
Let -4*i**2/5 + 72*i/5 - 36 = 0. Calculate i.
3, 15
Determine v, given that 8*v**3 - 343*v**2 - 43*v = 0.
-1/8, 0, 43
Suppose 12*t**4 + 508*t**3 + 6660*t**2 + 18900*t - 108000 = 0. What is t?
-15, 8/3
Factor m**4 - 766*m**3 + 146689*m**2.
m**2*(m - 383)**2
Factor -16*l**2 + 4*l.
-4*l*(4*l - 1)
Suppose 3*j**4 - 12*j**3 + 15*j**2 - 6*j = 0. What is j?
0, 1, 2
Determine z, given that 8*z**2/5 + 2*z/5 - 66/5 = 0.
-3, 11/4
Determine d, given that 2*d**5/7 + 2*d**4/7 - 34*d**3/7 + 30*d**2/7 = 0.
-5, 0, 1, 3
Solve 5*n**3 + 880*n**2 - 885*n = 0.
-177, 0, 1
Factor 3*z**4 + 15*z**3 + 6*z**2 - 60*z - 72.
3*(z - 2)*(z + 2)**2*(z + 3)
Factor 4*s**2 + 484*s.
4*s*(s + 121)
Factor q**2 + 62*q + 945.
(q + 27)*(q + 35)
Factor -20*p**3 + 115*p**2 + 30*p.
-5*p*(p - 6)*(4*p + 1)
Suppose 2*x**2/7 - 5378*x/7 - 5380/7 = 0. What is x?
-1, 2690
Let -i**2 - 12*i - 11 = 0. Calculate i.
-11, -1
Factor -59*i**2/3 - i.
-i*(59*i + 3)/3
Determine o so that -115*o**4 + 335*o**3 + 2790*o**2 + 3460*o + 280 = 0.
-2, -2/23, 7
Factor -6*j**3/5 + 363*j**2/5 - 1116*j + 540.
-3*(j - 30)**2*(2*j - 1)/5
Suppose -2*u**5 + 1344*u**4 - 218972*u**3 - 2291520*u**2 - 5814050*u = 0. What is u?
-5, 0, 341
Find l, given that -2*l**4/9 - 86*l**3/9 - 74*l**2/3 + 710*l/9 - 400/9 = 0.
-40, -5, 1
Factor -d**5/7 - 5*d**4/7 - 3*d**3/7 + 9*d**2/7.
-d**2*(d - 1)*(d + 3)**2/7
Solve -2*z**3/5 - 22*z**2/5 - 16*z - 96/5 = 0.
-4, -3
What is h in -h**3 - 225*h**2 + h + 225 = 0?
-225, -1, 1
Solve -2*d**2/13 - 56*d/13 = 0.
-28, 0
Solve -12*l**5 + 93*l**4 - 183*l**3 - 291*l**2/4 + 1155*l/4 + 147/2 = 0.
-1, -1/4, 2, 7/2
Factor 4*n**2/5 + 84*n/5 - 288/5.
4*(n - 3)*(n + 24)/5
Solve 54*b**4 - 41511*b**3 + 7992582*b**2 - 5755392*b + 884736 = 0.
2/9, 1/2, 384
Find j such that 3*j**5 - 30*j**4 - 18*j**3 + 204*j**2 - 249*j + 90 = 0.
-3, 1, 10
Let -z**5 - 15*z**4/2 - 41*z**3/2 - 51*z**2/2 - 29*z/2 - 3 = 0. Calculate z.
-3, -2, -1, -1/2
Let -2*i**2/7 + 194*i/7 + 600/7 = 0. What is i?
-3, 100
Solve d**2/4 + 266*d + 70756 = 0.
-532
Factor -4*r**4/9 - 16*r**3/3 - 28*r**2/3 - 40*r/9.
-4*r*(r + 1)**2*(r + 10)/9
Factor c**2/3 + 7*c - 946/3.
(c - 22)*(c + 43)/3
Factor -4*s**2/7 - 400*s/7 - 10000/7.
-4*(s + 50)**2/7
Find n such that 3*n**2/5 - 6084*n/5 + 3084588/5 = 0.
1014
What is m in -3*m**5 + 48*m**4 - 297*m**3 + 888*m**2 - 1284*m + 720 = 0?
2, 3, 4, 5
Find l such that l**2 - 5*l + 6 = 0.
2, 3
Find q such that 16*q**4 + 28*q**3 - 24*q**2 - 28*q + 8 = 0.
-2, -1, 1/4, 1
Find k such that k**3/8 - 5*k**2 + 457*k/8 - 759/4 = 0.
6, 11, 23
Factor g**3/2 - 43*g/2 - 21.
(g - 7)*(g + 1)*(g + 6)/2
Solve 5*y**5 + 10*y**4 - 30*y**3 - 20*y**2 + 65*y - 30 = 0.
-3, -2, 1
Determine y so that 3*y**2/5 - 66*y/5 + 24 = 0.
2, 20
Determine v so that 2*v**5 + 50*v**4/9 - 562*v**3/3 + 1354*v**2/3 + 4580*v/9 - 400/3 = 0.
-12, -1, 2/9, 5
Factor -l**5/2 + 4*l**4.
-l**4*(l - 8)/2
Let z**3 + 13*z**2 - 86*z + 72 = 0. Calculate z.
-18, 1, 4
Let 16*x**4 - 584*x**3 - 900*x**2 - 454*x - 76 = 0. Calculate x.
-1/2, 38
Factor -2*n**3/9 - 10*n**2/9 - 2*n/3 + 2.
-2*(n - 1)*(n + 3)**2/9
Solve 5*x**3/3 + 5*x**2 - 50*x/3 = 0.
-5, 0, 2
Find i such that 3*i**2/7 - 15*i/7 + 12/7 = 0.
1, 4
Factor -l**2 + 40*l - 400.
-(l - 20)**2
Suppose -d**2/2 - 251*d - 63001/2 = 0. Calculate d.
-251
Let z**4/5 - 3*z**3/5 - z**2 + 3*z/5 + 4/5 = 0. What is z?
-1, 1, 4
Suppose -2*d**2 + 176*d - 2072 = 0. Calculate d.
14, 74
Factor p**2/6 - 29*p/2 - 230/3.
(p - 92)*(p + 5)/6
Find s such that -3*s**5/4 - 3*s**4/4 + 9*s**3/2 + 3*s**2 - 6*s = 0.
-2, 0, 1, 2
Suppose 4*i**5/9 + 52*i**4/9 - 20*i**3/3 - 52*i**2/9 + 56*i/9 = 0. What is i?
-14, -1, 0, 1
Factor 4*h**3 + 208*h**2 + 2704*h.
4*h*(h + 26)**2
Factor 2*x**2 - 202*x - 204.
2*(x - 102)*(x + 1)
Factor -3*i**3 + 765*i**2 - 3024*i + 3012.
-3*(i - 251)*(i - 2)**2
Factor -4*s**5 - 36*s**4 - 60*s**3 + 100*s**2.
-4*s**2*(s - 1)*(s + 5)**2
Factor -5*v**4 + 55*v**3 + 15*v**2 - 175*v + 110.
-5*(v - 11)*(v - 1)**2*(v + 2)
Factor -5*u**4 + 355*u**3 + 5*u**2 - 355*u.
-5*u*(u - 71)*(u - 1)*(u + 1)
Factor 2*k**2/11 + 186*k/11 + 184/11.
2*(k + 1)*(k + 92)/11
Find g, given that g**4 + 10*g**3 - 90*g - 81 = 0.
-9, -3, -1, 3
Determine f, given that -f**3/5 - 147*f**2 - 36015*f - 2941225 = 0.
-245
Factor -5*w**2 + 34380*w - 59099220.
-5*(w - 3438)**2
Factor -2*g**4 + 10*g**3 - 8*g**2.
-2*g**2*(g - 4)*(g - 1)
Factor 2*r**3/3 + 4*r**2/3 - 6*r - 12.
2*(r - 3)*(r + 2)*(r + 3)/3
Factor -2*h**4/7 - 262*h**3/7 + 264*h**2/7.
-2*h**2*(h - 1)*(h + 132)/7
Suppose -2*z**5/13 + 10*z**4/13 - 6*z**3/13 - 18*z**2/13 = 0. What is z?
-1, 0, 3
Factor -4*g**4 - 132*g**3 - 368*g**2 - 240*g.
-4*g*(g + 1)*(g + 2)*(g + 30)
Determine g, given that -3*g**3/7 + 3*g**2/7 + 36*g/7 = 0.
-3, 0, 4
Find d such that -3*d**3/4 - 54*d**2 + 1377*d/4 + 117045/2 = 0.
-51, 30
Factor u**4 - u**3 - 16*u**2 + 16*u.
u*(u - 4)*(u - 1)*(u + 4)
Suppose -3*x**3/5 + 84*x**2/5 + 117*x + 918/5 = 0. Calculate x.
-3, 34
Let -300*z**4 + 780*z**3 + 513*z**2 - 486*z + 81 = 0. What is z?
-1, 3/10, 3
Solve -j**3/3 + 40*j**2/3 - 124*j + 336 = 0 for j.
6, 28
Solve 2*l**3 - 4*l**2 - 2*l + 4 = 0 for l.
-1, 1, 2
Suppose -2*i**5/5 + 8*i**4/5 - 4*i**3/5 - 8*i**2/5 + 6*i/5 = 0. What is i?
-1, 0, 1, 3
Solve k**3/4 - 5*k**2/4 - 7*k + 8 = 0 for k.
-4, 1, 8
Suppose 85*v**5/3 - 310*v**4/3 + 305*v**3/3 - 20*v**2/3 - 20*v = 0. Calculate v.
-6/17, 0, 1, 2
Determine a so that -4*a**4 + 68*a**3 - 312*a**2 + 560*a - 352 = 0.
2, 11
Find g such that 5*g**5 + 20*g**4 - 30*g**3 - 20*g**2 + 25*g = 0.
-5, -1, 0, 1
Solve 4*d**3 + 160*d**2 - 172*d - 328 = 0.
-41, -1, 2
What is i in 36*i**4 + 1219*i**3 + 10233*i**2 - 1479*i - 289 = 0?
-17, -1/9, 1/4
Determine g so that -2*g**3/13 + 42*g**2 - 3822*g + 115934 = 0.
91
Let 3*l**4 - 39*l**2 - 36*l = 0. Calculate l.
-3, -1, 0, 4
Find m, given that 5*m**4 + 275*m**3 + 3335*m**2 - 12615*m = 0.
-29, 0, 3
Solve p**5/4 - 11*p**4/4 + 43*p**3/4 - 73*p**2/4 + 14*p - 4 = 0 for p.
1, 4
Factor -z**3 - 165*z**2 - 6723*z + 6889.
-(z - 1)*(z + 83)**2
Factor -66*k**3/5 - 62*k**2/5 + 4*k/5.
-2*k*(k + 1)*(33*k - 2)/5
Suppose -v**5 + 24*v**4 - 181*v**3 + 318*v**2 + 992*v - 1152 = 0. Calculate v.
-2, 1, 8, 9
Let -4*b**5 + 34*b**4 + 162*b**3 - 952*b**2 - 3584*b - 1536 = 0. Calculate b.
-4, -3, -1/2, 8
Find m, given that 196*m**3/5 + 162932*m**2 - 465568*m/5 + 66512/5 = 0.
-4157, 2/7
Solve 26*a**2/3 - 178*a/3 - 28/3 = 0.
-2/13, 7
Factor 4*u**5/17 + 6*u**4/17 - 4*u**3/17.
2*u**3*(u + 2)*(2*u - 1)/17
Factor -3*p**2/2 + 4512*p - 3393024.
-3*(p - 1504)**2/2
Determine u, given that u**4 - 13*u**3 + 23*u**2 - 11*u = 0.
0, 1, 11
Factor p**2/6 - 223*p/6 + 37.
(p - 222)*(p - 1)/6
What is y in 3*y**5/7 - 6*y**4 + 225*y**3/7 - 582*y**2/7 + 732*y/7 - 360/7 = 0?
2, 3, 5
Factor -4*b**3 - 4*b**2.
-4*b**2*(b + 1)
Find j, given that 162*j**4 - 306*j**3 + 176*j**2 - 32*j = 0.
0, 4/9, 1
Factor -14*m**3/5 - 34*m**2/5 + 20*m + 48/5.
-2*(m - 2)*(m + 4)*(7*m + 3)/5
Find b such that 810*b**4 - 6192*b**3 + 3766*b**2 - 792*b + 56 = 0.
1/5, 2/9, 7
Factor 2*a**2/3 - 76*a/3 + 722/3.
2*(a - 19)**2/3
Factor 1280*c**3 + 11040*c**2 + 15405*c + 5915.
5*(c + 7)*(16*c + 13)**2
Determine q so that -4*q**4 + 4*q**3 + 48*q**2 = 0.
-3, 0, 4
Factor 3*a**2 - 228*a + 225.
3*(a - 75)*(a - 1)
Determine s so that 2*s**4/5 - 78*s**3/5 - 166*s**2/5 + 78*s/5 + 164/5 = 0.
-2, -1, 1, 41
What is t in -t**4 - 12*t**3 + 27*t**2 - 14*t = 0?
-14, 0, 1
Solv