 8*g/7 + 12/7.
-4*(g - 3)*(g + 1)/7
Let -5*v**3 - 1040*v**2 + 1055*v + 2090 = 0. What is v?
-209, -1, 2
Suppose -v**2 + 1454*v - 528529 = 0. What is v?
727
Find i, given that 3*i**3/2 + 57*i**2 - 369*i/2 = 0.
-41, 0, 3
Determine s so that s**5/4 + 29*s**4/4 + 315*s**3/4 + 1519*s**2/4 + 686*s = 0.
-8, -7, 0
Solve -3*q**3/2 + 3360*q**2 - 13431*q/2 + 3357 = 0.
1, 2238
Let -4*l**5 - 36*l**4 - 32*l**3 = 0. What is l?
-8, -1, 0
Factor 3*h**5/5 - 87*h**4/5 + 672*h**3/5 - 588*h**2/5.
3*h**2*(h - 14)**2*(h - 1)/5
Determine u so that 5*u**4 + 245*u**3 + 1115*u**2 + 615*u - 1980 = 0.
-44, -3, 1
Factor -2*k**2/7 - 220*k/7 - 218/7.
-2*(k + 1)*(k + 109)/7
What is o in -5*o**5/2 - o**4 + 15*o**3/2 - 2*o**2 - 2*o = 0?
-2, -2/5, 0, 1
Determine l so that l**2 + 230*l + 13225 = 0.
-115
What is c in c**4 + 140*c**3 + 276*c**2 = 0?
-138, -2, 0
Factor 6*i**3 + 40*i**2 + 58*i - 24.
2*(i + 3)*(i + 4)*(3*i - 1)
Let -4*o**3 - 40*o**2 - 100*o = 0. What is o?
-5, 0
Factor 120*h**4 + 92*h**3 + 64*h**2/3 + 4*h/3.
4*h*(3*h + 1)**2*(10*h + 1)/3
Factor 2*u**3/13 + 54*u**2/13 + 100*u/13.
2*u*(u + 2)*(u + 25)/13
Suppose -2*d**2/3 + 100*d/3 - 400 = 0. Calculate d.
20, 30
What is r in -9*r**4/4 + 29*r**3/4 - 3*r**2/2 = 0?
0, 2/9, 3
What is t in 3*t**2 + 3*t - 6 = 0?
-2, 1
Determine r, given that -4*r**4/5 + 76*r**3/5 - 40*r**2 + 128*r/5 = 0.
0, 1, 2, 16
Suppose -2*z**3/7 - 108*z**2/7 - 30*z - 104/7 = 0. What is z?
-52, -1
Factor -u**3/5 - 383*u**2/5 - 7296*u + 36864/5.
-(u - 1)*(u + 192)**2/5
Factor 3*r**3/2 + 6*r**2 - 267*r/2 + 126.
3*(r - 7)*(r - 1)*(r + 12)/2
Factor -3*j**3/2 - 21*j**2 - 159*j/2 - 60.
-3*(j + 1)*(j + 5)*(j + 8)/2
Let 4*f**4 + 63*f**3 + 176*f**2 - 48*f = 0. Calculate f.
-12, -4, 0, 1/4
Suppose 7*v**5 - 19*v**4 - 167*v**3 - 277*v**2 - 164*v - 28 = 0. Calculate v.
-2, -1, -2/7, 7
Find n, given that -2*n**2 - 968*n - 117128 = 0.
-242
Determine k, given that 2*k**3 + 1286*k**2 - 5168*k + 5176 = 0.
-647, 2
Factor -4*n**4 - 44*n**3 + 372*n**2 - 612*n.
-4*n*(n - 3)**2*(n + 17)
Solve -2*r**4 - 8*r**3 - 8*r**2 = 0 for r.
-2, 0
Suppose -2*r**4 + 40*r**3 - 264*r**2 + 640*r - 512 = 0. Calculate r.
2, 8
Factor -l**2 - 61*l - 900.
-(l + 25)*(l + 36)
Suppose -32*y**5 + 276*y**4 - 372*y**3 + 44*y**2 + 84*y = 0. What is y?
-3/8, 0, 1, 7
Factor 4*d**2/5 - 4*d - 1344/5.
4*(d - 21)*(d + 16)/5
Suppose -18*r**3/19 + 120*r**2/19 + 256*r/19 - 2048/19 = 0. What is r?
-4, 16/3
Find f such that -137780*f**3 + 1241680*f**2 - 14945*f + 45 = 0.
1/166, 9
Find l such that 2*l**3/9 + 22*l**2/9 - 8*l/3 = 0.
-12, 0, 1
Factor v**3/2 + 20*v**2 - 83*v/2 + 21.
(v - 1)**2*(v + 42)/2
Find u, given that 2*u**4/5 - 48*u**3/5 + 286*u**2/5 = 0.
0, 11, 13
Determine i, given that i**2/2 - 3*i + 4 = 0.
2, 4
What is t in -2*t**5 + 14*t**4 - 26*t**3 + 2*t**2 + 28*t - 16 = 0?
-1, 1, 2, 4
Suppose -j**4/2 + 1023*j**3/2 - 260093*j**2/2 - 787455*j/2 - 263169 = 0. What is j?
-2, -1, 513
Find c, given that 5*c**2 - 90*c + 405 = 0.
9
What is m in -2*m**3/3 - 2*m**2/3 + 2*m/3 + 2/3 = 0?
-1, 1
Factor 2*y**2/3 - 2*y - 56/3.
2*(y - 7)*(y + 4)/3
Factor -k**2 + 9*k + 10.
-(k - 10)*(k + 1)
Solve -2*x**3 - 816*x**2 - 810*x + 1628 = 0 for x.
-407, -2, 1
Let -3*d**3/2 + 303*d**2/2 - 3240*d - 30618 = 0. What is d?
-7, 54
Find b, given that 2*b**4/11 + 26*b**3/11 + 16*b**2/11 - 104*b/11 - 96/11 = 0.
-12, -2, -1, 2
Determine f, given that 15*f**5/2 + 33*f**4/4 - 27*f**3 - 39*f**2/4 + 30*f - 9 = 0.
-2, -3/2, 2/5, 1
Factor 4*z**4 + 44*z**3 - 48*z**2.
4*z**2*(z - 1)*(z + 12)
What is g in 5*g**2/3 - 20*g/3 + 20/3 = 0?
2
Factor 3*m**4/4 - 141*m**3/2 - 885*m**2/4 + 291*m.
3*m*(m - 97)*(m - 1)*(m + 4)/4
Factor -4*s**2 - 932*s + 1880.
-4*(s - 2)*(s + 235)
Factor -m**4/11 + 90*m**3/11 - 2700*m**2/11 + 27000*m/11.
-m*(m - 30)**3/11
Solve k**5 - 2*k**4 - 4*k**3 + 2*k**2 + 3*k = 0 for k.
-1, 0, 1, 3
Determine n so that 2*n**4/3 - 290*n**3/3 - 602*n**2/3 + 2066*n/3 - 392 = 0.
-4, 1, 147
Determine o, given that 2*o**2/5 - 44*o/5 - 46/5 = 0.
-1, 23
Suppose -6*s**5/7 + 106*s**4/7 - 152*s**3/7 - 136*s**2/7 + 128*s/7 = 0. What is s?
-1, 0, 2/3, 2, 16
Let u**4 - 7*u**3 + 11*u**2 + 7*u - 12 = 0. Calculate u.
-1, 1, 3, 4
Solve -d**2/5 + 3694*d/5 - 3411409/5 = 0 for d.
1847
Factor 2*l**3/19 - 60*l**2/19 + 216*l/19 - 208/19.
2*(l - 26)*(l - 2)**2/19
Factor -r**2/8 + 59*r/8 - 369/4.
-(r - 41)*(r - 18)/8
Solve 2*i**4/21 - 4*i**3/3 + 50*i**2/21 - 8*i/7 = 0 for i.
0, 1, 12
Determine a, given that 4*a**2 + 92*a - 96 = 0.
-24, 1
Factor w**2 - 9310*w + 21669025.
(w - 4655)**2
Find m, given that -4*m**4 + 8*m**3 = 0.
0, 2
Solve -x**3 + 6*x**2 + 7*x = 0.
-1, 0, 7
What is y in -y**5/9 + 17*y**4 - 49*y**3/3 - 757*y**2/9 - 152*y/3 = 0?
-1, 0, 3, 152
Factor t**2 - 180*t + 8100.
(t - 90)**2
Solve 4*w**5 + 52*w**4 + 252*w**3 + 556*w**2 + 544*w + 192 = 0.
-4, -3, -1
Determine m so that 2*m**2/3 + 8*m - 30 = 0.
-15, 3
Factor -4*b**2/5 - 96*b/5.
-4*b*(b + 24)/5
Factor 2*p**2/5 + 8*p + 72/5.
2*(p + 2)*(p + 18)/5
Suppose 3*t**2/5 - 701*t/5 + 466/5 = 0. What is t?
2/3, 233
Suppose -25*u**2/3 + 2069*u/3 + 166 = 0. What is u?
-6/25, 83
Find t, given that 24*t**4 + 52*t**3 - 88*t**2 - 208*t - 32 = 0.
-2, -1/6, 2
Factor -2*l**3/3 - 44*l**2/3 + 94*l/3 - 16.
-2*(l - 1)**2*(l + 24)/3
Suppose s**3/5 + 21*s**2/5 + 126*s/5 + 216/5 = 0. What is s?
-12, -6, -3
Find j, given that 4*j**3 - 336*j**2 + 5520*j + 67712 = 0.
-8, 46
Find z such that -4*z**2/5 - 29256*z/5 - 53494596/5 = 0.
-3657
Determine c, given that -5*c**4/4 - 7*c**3/4 + 29*c**2/2 + 6*c = 0.
-4, -2/5, 0, 3
Factor 15*d**2 - 17075*d - 11390.
5*(d - 1139)*(3*d + 2)
Factor -10*r**3 - 162*r**2 + 1578*r + 322.
-2*(r - 7)*(r + 23)*(5*r + 1)
Let 4*c**4/5 + 68*c**3 + 7708*c**2/5 + 20172*c/5 = 0. What is c?
-41, -3, 0
Factor -t**3 + 32*t**2 + t - 32.
-(t - 32)*(t - 1)*(t + 1)
Factor 124*y**3 + 636*y**2 - 664*y - 96.
4*(y - 1)*(y + 6)*(31*y + 4)
Suppose 72*m**5 - 312*m**4 + 314*m**3 - 80*m**2 + 6*m = 0. Calculate m.
0, 1/6, 1, 3
Find y such that y**3 + 152*y**2 + 5925*y + 11250 = 0.
-75, -2
Factor -4*y**3 + 120*y**2 - 900*y.
-4*y*(y - 15)**2
Let 4*w**4 + 16*w**3 + 24*w**2 + 16*w + 4 = 0. Calculate w.
-1
Factor t**3/2 - 259*t**2/2 + 8576*t - 24576.
(t - 128)**2*(t - 3)/2
Factor x**3/5 - 181*x**2/5 + 8787*x/5 - 52983/5.
(x - 87)**2*(x - 7)/5
Factor 3*a**2 - 195*a + 378.
3*(a - 63)*(a - 2)
Let 3*z**4/5 + 468*z**3/5 + 15762*z**2/5 - 38844*z + 103335 = 0. Calculate z.
-83, 5
Suppose -3*z**3 - 33*z**2 - 120*z - 144 = 0. Calculate z.
-4, -3
Solve y**2/11 - 7*y + 76/11 = 0 for y.
1, 76
Factor -2*x**2/3 + 208*x + 2528/3.
-2*(x - 316)*(x + 4)/3
Determine u so that -4*u**4/5 + 12*u**3 + 88*u**2/5 - 384*u/5 = 0.
-3, 0, 2, 16
Find a such that -2*a**4/7 + 2*a**2 - 12*a/7 = 0.
-3, 0, 1, 2
Let -p**5/3 - 23*p**4/3 - 62*p**3 - 234*p**2 - 423*p - 297 = 0. What is p?
-11, -3
Suppose -t**5/2 + 10*t**4 + 11*t**3 - 10*t**2 - 21*t/2 = 0. What is t?
-1, 0, 1, 21
Factor 4*c**4 - 184*c**3 - 12*c**2 + 544*c + 368.
4*(c - 46)*(c - 2)*(c + 1)**2
Factor -2*c**2/9 - 46*c/9 + 52/3.
-2*(c - 3)*(c + 26)/9
Solve -3*u**5 - 2*u**4 + 188*u**3/3 + 102*u**2 + 47*u + 20/3 = 0.
-4, -1, -1/3, 5
Determine w, given that 4*w**3 - 404*w**2 + 392*w + 800 = 0.
-1, 2, 100
Suppose -4*f**3/3 + 58*f**2/3 + 452*f/3 - 80 = 0. Calculate f.
-6, 1/2, 20
Factor 2*n**4/13 - 8*n**2/13.
2*n**2*(n - 2)*(n + 2)/13
Suppose -4*o**5/7 - 12*o**4 = 0. Calculate o.
-21, 0
Solve -5*y**5 + 55*y**4 + 15*y**3 - 155*y**2 - 110*y = 0 for y.
-1, 0, 2, 11
Factor j**4/2 - 10*j**3 + 66*j**2 - 160*j + 128.
(j - 8)**2*(j - 2)**2/2
Suppose -5*g**2 - 17740*g - 15735380 = 0. What is g?
-1774
Determine v, given that v**4/8 + 9*v**3/8 + 3*v**2 + 2*v = 0.
-4, -1, 0
Factor -2*v**2 + 146*v + 148.
-2*(v - 74)*(v + 1)
What is g in 2*g**5 - 14*g**4 + 26*g**3 - 2*g**2 - 28*g + 16 = 0?
-1, 1, 2, 4
Suppose -3*m**3 + 2841*m**2 - 671184*m - 674028 = 0. What is m?
-1, 474
Factor 2*a**3 - 18*a**2 + 48*a - 32.
2*(a - 4)**2*(a - 1)
Solve 4*x**2 + 1652*x - 8360 = 0.
-418, 5
Determine w so that 3*w**4 - 15*w**3 + 21*w**2 - 9*w = 0.
0, 1, 3
Factor -f**3/4 - 455*f**2/4.
-f**2*(f + 455)/4
Let 4*j**3 - 84*j**2 + 540*j - 972 = 0. What is j?
3, 9
Find u, given that -32*u**5 + 464*u**4/7 - 206*u**3/7 - 76*u**2/7 + 34*u/7 + 8/7 = 0.
-1/4, 4/7, 1
Let -3*l**3/5 + 42*l**2/5 + 207*l/5 + 162/5 = 0. What is l?
-3, -1, 18
Factor -f**5/4 + 5*f**4/4