*3/13
Find y such that -20*y**5 - 512*y**4 - 1212*y**3 - 352*y**2 + 368*y = 0.
-23, -2, -1, 0, 2/5
Solve 3*b**3/7 + 30*b**2/7 + 72*b/7 = 0.
-6, -4, 0
Let 12*k**3/7 - 790*k**2/7 + 648*k/7 + 130/7 = 0. What is k?
-1/6, 1, 65
Solve 3*f**2 + 1344*f + 2676 = 0.
-446, -2
Factor x**5 - 19*x**4 + 50*x**3 - 32*x**2.
x**2*(x - 16)*(x - 2)*(x - 1)
Solve u**2/4 - 115*u/4 + 57/2 = 0.
1, 114
Factor 5*r**3 - 830*r**2 + 34445*r.
5*r*(r - 83)**2
Let 18*i**4 + 1869*i**3 + 3378*i**2 + 1221*i - 306 = 0. Calculate i.
-102, -1, 1/6
Factor -2*r**5 - 140*r**4 - 2714*r**3 - 9240*r**2 - 8712*r.
-2*r*(r + 2)**2*(r + 33)**2
Find j, given that 4*j**4 - 60*j**3 - 68*j**2 + 60*j + 64 = 0.
-1, 1, 16
Factor t**4/7 + 2*t**3/7 - 13*t**2/7 + 10*t/7.
t*(t - 2)*(t - 1)*(t + 5)/7
Determine x, given that 4*x**5/3 + 12*x**4 + 76*x**3/3 + 4*x**2 - 80*x/3 - 16 = 0.
-6, -2, -1, 1
Factor o**3/7 - 2*o**2/7 - o/7 + 2/7.
(o - 2)*(o - 1)*(o + 1)/7
Find h such that -9*h**3/4 - 3*h**2/2 + 21*h/4 - 3/2 = 0.
-2, 1/3, 1
Factor -w**3 + 38*w**2.
-w**2*(w - 38)
Let -2*z**5/3 - 2*z**4 + 8*z**3/3 + 8*z**2 = 0. Calculate z.
-3, -2, 0, 2
Factor -3*h**3/5 + 48*h**2 + 3204*h/5 + 9936/5.
-3*(h - 92)*(h + 6)**2/5
Find m, given that 3*m**3 - 90*m**2 - 99*m + 186 = 0.
-2, 1, 31
Determine j so that -3*j**4/2 - 39*j**3 - 318*j**2 - 825*j - 1089/2 = 0.
-11, -3, -1
Find m such that -m**4 - 3*m**3 + m**2 + 3*m = 0.
-3, -1, 0, 1
Factor 2*s**4/3 - 10*s**3/3 + 4*s**2.
2*s**2*(s - 3)*(s - 2)/3
Factor 4*j**2 + 36*j - 40.
4*(j - 1)*(j + 10)
Factor -r**3/4 + 15*r**2/2 + 99*r/4.
-r*(r - 33)*(r + 3)/4
Solve -25*p**4/4 - 135*p**3 - 1403*p**2/2 + 297*p - 121/4 = 0 for p.
-11, 1/5
Suppose -21*x**5/8 - 141*x**4/8 + 861*x**3/8 - 1347*x**2/8 + 195*x/2 - 33/2 = 0. Calculate x.
-11, 2/7, 1, 2
Factor 5*z**2 + 5375*z.
5*z*(z + 1075)
Let -12*t**2 - 11488*t + 7664 = 0. Calculate t.
-958, 2/3
Factor 3*y**2 - 963*y - 1938.
3*(y - 323)*(y + 2)
Suppose -3*j**5/4 - 12*j**4 + 69*j**3 + 156*j**2 - 528*j - 960 = 0. Calculate j.
-20, -2, 4
Determine t, given that -t**2/5 - 3126*t/5 - 2442969/5 = 0.
-1563
Factor -5*f**4 + 15*f**3 + 190*f**2 - 960*f + 1120.
-5*(f - 4)**2*(f - 2)*(f + 7)
Factor 5*w**5 - 35*w**4 - 5*w**3 + 35*w**2.
5*w**2*(w - 7)*(w - 1)*(w + 1)
Factor 4*p**3 + 708*p**2 - 1428*p + 716.
4*(p - 1)**2*(p + 179)
Factor -441*u**4/4 - 2163*u**3/2 - 10189*u**2/4 + 515*u - 25.
-(u + 5)**2*(21*u - 2)**2/4
Factor 2*o**2/3 + 26*o/3 - 32.
2*(o - 3)*(o + 16)/3
Factor 2*s**4/5 + 2106*s**3 + 3696030*s**2 + 2162177550*s.
2*s*(s + 1755)**3/5
Determine u so that 16*u**5/3 - 49*u**4/3 - 77*u**3/3 + 53*u**2/3 + 61*u/3 - 4/3 = 0.
-1, 1/16, 1, 4
Factor x**2/5 - 1222*x/5 + 373321/5.
(x - 611)**2/5
Solve 2*y**3/3 + 440*y**2 + 3946*y/3 + 876 = 0 for y.
-657, -2, -1
Find j such that -j**5/4 + 15*j**4/4 - 13*j**3/2 - j**2/2 + 27*j/4 - 13/4 = 0.
-1, 1, 13
Factor -4*w**2/3 + 464*w/3 - 304.
-4*(w - 114)*(w - 2)/3
Suppose 2*h**2/9 - 20*h/3 - 62/9 = 0. Calculate h.
-1, 31
Determine h so that -4*h**3 + 19*h**2 - 19*h - 6 = 0.
-1/4, 2, 3
Factor 2*w**3 - 43*w**2/3 + 43*w/3 - 2.
(w - 6)*(w - 1)*(6*w - 1)/3
Suppose 3*t**4 + 420*t**3 + 819*t**2 - 1242*t = 0. What is t?
-138, -3, 0, 1
Factor u**2/2 + 24*u - 49/2.
(u - 1)*(u + 49)/2
Find k such that -15*k**3/2 - 1085*k**2 - 7785*k/2 - 2115 = 0.
-141, -3, -2/3
Factor -c**5 - 8*c**4 + 9*c**3.
-c**3*(c - 1)*(c + 9)
Factor m**3/2 + 112*m**2 - 454*m + 456.
(m - 2)**2*(m + 228)/2
Factor -20*x**2/3 - 272*x/3.
-4*x*(5*x + 68)/3
Factor m**2/5 + 326*m/5 + 26569/5.
(m + 163)**2/5
Factor 4*q**3 - 104*q**2 - 500*q + 600.
4*(q - 30)*(q - 1)*(q + 5)
Factor -2*m**3/7 - 13982*m**2/7 - 24444030*m/7 - 24430050/7.
-2*(m + 1)*(m + 3495)**2/7
Solve -676*l**5 + 5044*l**4 + 14004*l**3 - 128916*l**2 + 57024*l - 6480 = 0 for l.
-5, 3/13, 6
Solve 32*h**3 - 64*h**2 - 2*h + 4 = 0.
-1/4, 1/4, 2
Factor 578*p**4 - 2516*p**3 + 3146*p**2 - 888*p + 72.
2*(p - 2)**2*(17*p - 3)**2
Factor b**4 - b**3 - 4*b**2 + 4*b.
b*(b - 2)*(b - 1)*(b + 2)
What is s in 4*s**2/5 + 88*s/5 - 416/5 = 0?
-26, 4
What is u in 5*u**2 - 10*u = 0?
0, 2
What is s in -11*s**4/3 + 36*s**3 - 19*s**2 - 212*s/3 - 12 = 0?
-1, -2/11, 2, 9
Factor 3*x**4 + 366*x**3 + 1080*x**2 + 1074*x + 357.
3*(x + 1)**3*(x + 119)
Find a, given that 3*a**3/5 + 813*a**2/5 + 1617*a/5 + 807/5 = 0.
-269, -1
Solve 4*a**3 - 40*a**2 - 4148*a - 4104 = 0.
-27, -1, 38
Factor -4*m**3/7 - 6*m**2 - 50*m/7 + 36/7.
-2*(m + 2)*(m + 9)*(2*m - 1)/7
Find j, given that 2*j**3 - 32*j = 0.
-4, 0, 4
Find t, given that t**4 + 29*t**3 + 195*t**2 - 225*t = 0.
-15, 0, 1
Factor -4*f**3/5 - 76*f**2/5 + 420*f + 40572/5.
-4*(f - 23)*(f + 21)**2/5
Let -s**2/4 - 7*s/4 - 3 = 0. What is s?
-4, -3
What is m in -3*m**3 - 273*m**2 - 8280*m - 83700 = 0?
-31, -30
Factor -5*i**2/3 - 8320*i/3 - 8315/3.
-5*(i + 1)*(i + 1663)/3
Factor -890*n**2 + 592*n + 8/9.
-2*(3*n - 2)*(1335*n + 2)/9
Suppose m**2 + 4*m - 12 = 0. What is m?
-6, 2
Solve -2*h**4 - 2*h**3 + 46*h**2 - 78*h + 36 = 0 for h.
-6, 1, 3
Factor n**4/3 - 35*n**3/3 - 37*n**2/3 + 35*n/3 + 12.
(n - 36)*(n - 1)*(n + 1)**2/3
Factor 212*z**3 - 1708*z**2 + 3488*z - 192.
4*(z - 4)**2*(53*z - 3)
Factor -4*z**4 - 192*z**3 - 1872*z**2 + 10816*z.
-4*z*(z - 4)*(z + 26)**2
Solve -4*a**3 - 132*a**2 - 1152*a - 3024 = 0 for a.
-21, -6
Factor 4*o**3 - 16*o.
4*o*(o - 2)*(o + 2)
Factor -5*f**2/3 + 257*f/3 - 34.
-(f - 51)*(5*f - 2)/3
Factor o**5/2 + 13*o**4/2 + 30*o**3 + 56*o**2 + 32*o.
o*(o + 1)*(o + 4)**3/2
Let -4*z**4/5 - 24*z**3/5 + 128*z/5 = 0. What is z?
-4, 0, 2
Factor -r**3 + 8*r**2 - 20*r + 16.
-(r - 4)*(r - 2)**2
Factor 2*y**3/13 - 2*y**2 + 32*y/13 + 384/13.
2*(y - 8)**2*(y + 3)/13
Factor -d**2/2 + 2*d + 957/2.
-(d - 33)*(d + 29)/2
Factor 88*z**3 + 420*z**2 - 628*z + 120.
4*(z - 1)*(z + 6)*(22*z - 5)
Factor m**5 - 5*m**4 + 8*m**3 - 4*m**2.
m**2*(m - 2)**2*(m - 1)
What is s in -5*s**3/2 + 26*s**2 + 243*s/2 + 63 = 0?
-3, -3/5, 14
Factor -o**2/7 - 34*o/7 - 253/7.
-(o + 11)*(o + 23)/7
Solve -3*w**4 + 84*w**3 - 393*w**2 - 2784*w - 2304 = 0.
-3, -1, 16
Suppose -2*n**2/15 + 8*n/15 - 2/5 = 0. What is n?
1, 3
Solve 3*z**5/4 - 3*z**3/2 + 3*z/4 = 0 for z.
-1, 0, 1
Suppose -p**4/5 - 189*p**3/5 + 768*p**2/5 - 772*p/5 = 0. Calculate p.
-193, 0, 2
Factor 2*f**2/7 - 454*f/7 + 452/7.
2*(f - 226)*(f - 1)/7
Factor -r**2 - 66*r + 136.
-(r - 2)*(r + 68)
Factor 2*p**3/9 + 4*p**2/3 - 34*p/3 + 88/9.
2*(p - 4)*(p - 1)*(p + 11)/9
Solve -t**2 - 16*t - 60 = 0 for t.
-10, -6
Solve 33*o**4 + 599*o**3/5 + 418*o**2/5 - 236*o/5 + 8/5 = 0.
-2, 2/55, 1/3
What is n in -2*n**2/5 + 96*n/5 - 86 = 0?
5, 43
Let 28*w**5 - 412*w**4 + 1140*w**3 + 220*w**2 - 1888*w - 528 = 0. Calculate w.
-1, -2/7, 2, 3, 11
Suppose 2*n**5/3 + 28*n**4/3 - 14*n**3/3 - 184*n**2/3 + 56*n = 0. Calculate n.
-14, -3, 0, 1, 2
Factor -5*t**3 - 120*t**2 + 5*t + 120.
-5*(t - 1)*(t + 1)*(t + 24)
Find n such that 2*n**4/5 - 86*n**3/5 + 82*n**2/5 + 86*n/5 - 84/5 = 0.
-1, 1, 42
Let d**5/3 - 7*d**4/3 - 26*d**3 = 0. What is d?
-6, 0, 13
Let -2*x**3/9 + 38*x**2/3 - 74*x/3 + 110/9 = 0. Calculate x.
1, 55
Let 4*v**4/5 - 32*v**3/5 + 8*v**2/5 + 128*v/5 + 84/5 = 0. What is v?
-1, 3, 7
Let 3*m**3 + 54*m**2 + 96*m = 0. Calculate m.
-16, -2, 0
Factor -i**3/8 + 53*i**2/8 + 71*i/2 + 87/2.
-(i - 58)*(i + 2)*(i + 3)/8
Factor -5*v**2/3 + 800*v/3 - 32000/3.
-5*(v - 80)**2/3
What is m in 2*m**5 + 22*m**4 + 74*m**3 + 90*m**2 + 36*m = 0?
-6, -3, -1, 0
Find b such that -9*b**4 - 30*b**3 + 105*b**2 + 270*b - 216 = 0.
-4, -3, 2/3, 3
Factor -3*w**2 - 114*w + 369.
-3*(w - 3)*(w + 41)
Let 2*n**5/15 - 4*n**4/5 + 6*n**3/5 - 8*n**2/15 = 0. What is n?
0, 1, 4
Find f, given that 8*f**3/5 - 622*f**2/5 + 214*f - 456/5 = 0.
3/4, 1, 76
Suppose 14*j**5/9 - 326*j**4/9 + 698*j**3/3 - 2266*j**2/9 + 484*j/9 = 0. What is j?
0, 2/7, 1, 11
Suppose 12*l**5 - 1324*l**4 + 48392*l**3 - 574536*l**2 - 421652*l + 202612 = 0. What is l?
-1, 1/3, 37
Factor 7*a**4 + 387*a**3 + 5591*a**2 + 6669*a + 1458.
(a + 1)*(a + 27)**2*(7*a + 2)
Factor 4*s**4/5 - 1008*s**3/5 + 64504*s**2/5 - 25200*s + 12500.
4*(s - 125)**2*(s - 1)**2/5
Find v, given that -v**4/2 + 293*v**3/2 - 580*v**2 + 578*v = 0.
0, 2, 289
Find m such that -m**5/2 - 3*m**4 - 4*m**3 = 0.
-4, -2, 0
Suppose -o**2/2 + 9*o - 81/2 = 0. What is o?
9
Suppose -8*u**4 + 5762*u**3 - 1432*u**2 - 5762*u + 1440 = 0. What is u?
-1, 1/4, 1, 720
What is p in 2*p**2/7 - 100*p/7 + 192/7 = 