636/3 = 0.
1, 1153
Determine t, given that -2*t**5/13 - 40*t**4/13 - 236*t**3/13 - 360*t**2/13 - 162*t/13 = 0.
-9, -1, 0
Suppose -4*p**2/5 + 2084*p/5 + 4184/5 = 0. Calculate p.
-2, 523
Find f such that 3*f**2 - 120*f + 117 = 0.
1, 39
Solve -l**3/2 + 53*l**2 - 104*l = 0.
0, 2, 104
Determine o, given that o**4 + 145*o**3 + 286*o**2 = 0.
-143, -2, 0
Factor 5*g**2 - 25*g + 30.
5*(g - 3)*(g - 2)
Determine w, given that -3*w**5 + 15*w**4 - 24*w**3 + 12*w**2 = 0.
0, 1, 2
Suppose 605*c**3 + 27445*c**2 + 9920*c + 900 = 0. Calculate c.
-45, -2/11
Let -2*v**3/9 + 4*v**2/9 + 128*v/9 + 320/9 = 0. Calculate v.
-4, 10
Factor 2*n**2/5 - 482*n/5 + 3728/5.
2*(n - 233)*(n - 8)/5
Factor t**4 - 18*t**3 + 61*t**2 - 72*t + 28.
(t - 14)*(t - 2)*(t - 1)**2
Solve 4*c**4/7 - 64*c**3/7 - 228*c**2/7 - 16*c/7 + 304/7 = 0 for c.
-2, 1, 19
Factor -3*g**2/4 + 353*g/4 - 117/2.
-(g - 117)*(3*g - 2)/4
What is l in -5*l**2/3 + 25*l/3 + 70/3 = 0?
-2, 7
Factor 5*d**5 - 15*d**4 + 15*d**3 - 5*d**2.
5*d**2*(d - 1)**3
Factor 2*m**2/5 + 398*m/5 - 408.
2*(m - 5)*(m + 204)/5
Find g such that -g**5/3 + g**4/3 = 0.
0, 1
Factor b**3/4 - 117*b**2/2 + 13689*b/4.
b*(b - 117)**2/4
Factor 6*r**4 - 50*r**3 + 54*r**2 + 18*r - 28.
2*(r - 7)*(r - 1)**2*(3*r + 2)
Factor a**3/6 + 65*a**2/2.
a**2*(a + 195)/6
Let -2*f**3 + 184*f**2 - 182*f = 0. Calculate f.
0, 1, 91
Factor h**5/3 - 25*h**4/3 + 77*h**3 - 931*h**2/3 + 1372*h/3.
h*(h - 7)**3*(h - 4)/3
Factor -2*g**4/3 - 2*g**3/3 + 2*g**2/3 + 2*g/3.
-2*g*(g - 1)*(g + 1)**2/3
Find s such that 4*s**4/7 - 68*s**3/7 + 212*s**2/7 - 4*s - 312/7 = 0.
-1, 2, 3, 13
Determine m, given that 2*m**4/3 - 76*m**3/3 + 856*m**2/3 - 2516*m/3 + 578 = 0.
1, 3, 17
Factor 5*m**3 - 45*m**2 - 110*m.
5*m*(m - 11)*(m + 2)
Factor -2*p**2/5 - 22*p/5 + 52/5.
-2*(p - 2)*(p + 13)/5
Find m, given that -12*m**5/5 + 14*m**4/5 + 2*m**3 - 14*m**2/5 + 2*m/5 = 0.
-1, 0, 1/6, 1
Find p, given that 2*p**4/5 - 44*p**3/5 - 262*p**2/5 + 5544*p/5 + 31752/5 = 0.
-7, 18
Determine u, given that 14*u**2/9 + 298*u/9 + 28/3 = 0.
-21, -2/7
Factor -2*v**5 + 26*v**4/3 - 20*v**3/3.
-2*v**3*(v - 1)*(3*v - 10)/3
Find f, given that -f**5 + 176*f**4 - 694*f**3 + 1036*f**2 - 689*f + 172 = 0.
1, 172
Factor 2*z**3/17 - 12*z**2/17 + 18*z/17 - 8/17.
2*(z - 4)*(z - 1)**2/17
Solve 9*d**4/2 + 96*d**3 + 114*d**2 - 120*d = 0 for d.
-20, -2, 0, 2/3
Factor 3*w**3/8 - 21*w**2 + 81*w/2.
3*w*(w - 54)*(w - 2)/8
Factor -b**4/4 - b**3/4 + 7*b**2/4 + 13*b/4 + 3/2.
-(b - 3)*(b + 1)**2*(b + 2)/4
Solve -14*x**4 + 52*x**3 - 282*x**2/7 - 104*x/7 - 8/7 = 0 for x.
-1/7, 2
Suppose 3*p**4/7 - 15*p**2/7 + 12/7 = 0. What is p?
-2, -1, 1, 2
Factor -2*g**3/9 - 2*g**2/3.
-2*g**2*(g + 3)/9
Determine g, given that 3*g**4/7 - 3*g**3 + 30*g**2/7 = 0.
0, 2, 5
Factor 25*w**2 - 20*w - 480.
5*(w + 4)*(5*w - 24)
Find z, given that 20*z**3 + 256*z**2 - 52*z = 0.
-13, 0, 1/5
Find r such that -10*r**4/9 - 8*r**3 - 64*r**2/3 - 224*r/9 - 32/3 = 0.
-2, -6/5
Determine s, given that -2*s**5/11 + 530*s**4/11 - 56180*s**3/11 + 2977540*s**2/11 - 78904810*s/11 + 836390986/11 = 0.
53
Factor -5*t**3 + 215*t**2 + 5*t - 215.
-5*(t - 43)*(t - 1)*(t + 1)
Factor -5*l**3 + 3705*l**2 - 7395*l + 3695.
-5*(l - 739)*(l - 1)**2
Find c, given that 4*c**2/3 + 2812*c/3 - 2816/3 = 0.
-704, 1
What is s in -3*s**5 + 18*s**4 - 21*s**3 - 18*s**2 + 24*s = 0?
-1, 0, 1, 2, 4
Factor -3*g**3 - 42*g**2 - 105*g + 150.
-3*(g - 1)*(g + 5)*(g + 10)
Factor -q**2 - 30*q - 29.
-(q + 1)*(q + 29)
Let -3*b**2/8 - 39*b/2 + 7047/8 = 0. What is b?
-81, 29
Factor -27*p**5/7 - 102*p**4/7 - 138*p**3/7 - 72*p**2/7 - 3*p/7 + 6/7.
-3*(p + 1)**4*(9*p - 2)/7
Factor -2*h**2/23 - 1270*h/23.
-2*h*(h + 635)/23
Determine l so that 15*l**2/4 + 1355*l/2 - 905/4 = 0.
-181, 1/3
Factor 300*z**5 - 2940*z**4 + 6903*z**3 + 1470*z**2 + 75*z.
3*z*(z - 5)**2*(10*z + 1)**2
Factor 32*c**4/7 + 48*c**3/7 + 2*c**2/7 - 12*c/7 + 2/7.
2*(c + 1)**2*(4*c - 1)**2/7
Determine n so that -5*n**5 + 25*n**4 - 50*n**3 + 50*n**2 - 25*n + 5 = 0.
1
Determine g, given that -g**5 + 4*g**4 - g**3 - 14*g**2 + 20*g - 8 = 0.
-2, 1, 2
Solve 2*f**5 + 36*f**4 + 178*f**3 + 144*f**2 - 360*f = 0.
-10, -6, -3, 0, 1
Suppose -a**2/9 - 11*a/3 - 242/9 = 0. Calculate a.
-22, -11
Determine z, given that 3*z**5 + 17*z**4 + 19*z**3 - 21*z**2 - 18*z = 0.
-3, -2/3, 0, 1
Factor -3*u**5 + 102*u**4 - 1083*u**3 + 2700*u**2 + 9072*u + 5184.
-3*(u - 12)**3*(u + 1)**2
Factor -i**4/9 - i**3/3 + 5*i**2 - 77*i/9 + 4.
-(i - 4)*(i - 1)**2*(i + 9)/9
Determine a so that -2*a**4 + 14*a**3 - 36*a**2 + 40*a - 16 = 0.
1, 2
Factor -3*a**4 + 51*a**3 + 240*a**2 + 252*a.
-3*a*(a - 21)*(a + 2)**2
Determine l so that -4*l**3/9 + 4*l**2/3 + 4*l/9 - 4/3 = 0.
-1, 1, 3
Let -n**3/6 - 7*n**2/3 - 49*n/6 = 0. Calculate n.
-7, 0
Factor d**2 - 4.
(d - 2)*(d + 2)
Suppose 5*v**4 - 1300*v**3 + 10080*v**2 = 0. What is v?
0, 8, 252
Determine s so that -5*s**2 + 200*s - 380 = 0.
2, 38
Solve 2*u**5 + 114*u**4 - 7140*u**3 + 110936*u**2 - 543312*u = 0.
-99, 0, 14
Find y such that -5*y**5 + 15*y**4 + 300*y**3 + 500*y**2 = 0.
-5, -2, 0, 10
Factor -5*i**4 - 30*i**3 - 45*i**2.
-5*i**2*(i + 3)**2
Solve -2*t**5/11 + 148*t**4/11 - 2736*t**3/11 - 148*t**2/11 + 2738*t/11 = 0 for t.
-1, 0, 1, 37
Solve d**4/5 - 7*d**3/5 + 12*d**2/5 = 0 for d.
0, 3, 4
Factor -5*t**2 + 92350*t - 426426125.
-5*(t - 9235)**2
Let 2*q**2/15 - 7928*q/15 + 7856648/15 = 0. What is q?
1982
Determine m so that -5*m**5 + 45*m**4 + 410*m**3 + 600*m**2 = 0.
-4, -2, 0, 15
Suppose -7*h**4 - 69*h**3 + 87*h**2 - 11*h = 0. What is h?
-11, 0, 1/7, 1
Determine g, given that 3*g**3/4 + 15*g**2 + 225*g/4 = 0.
-15, -5, 0
Factor 3*a**4 + 3*a**3 - 39*a**2 - 75*a - 36.
3*(a - 4)*(a + 1)**2*(a + 3)
Factor i**3 - 240*i**2 - 1467*i - 2214.
(i - 246)*(i + 3)**2
Let o**3/3 - o**2 - 3*o + 9 = 0. Calculate o.
-3, 3
Suppose -3*j**3 - 315*j**2 - 2034*j + 2352 = 0. What is j?
-98, -8, 1
Determine y, given that 2*y**2 - 52*y = 0.
0, 26
Factor f**3 + 10*f**2 - f - 10.
(f - 1)*(f + 1)*(f + 10)
Factor -5*j**3 - 90*j**2 - 225*j.
-5*j*(j + 3)*(j + 15)
Find w, given that -4*w**2 - 468*w + 952 = 0.
-119, 2
Solve 14*x**4/13 - 30*x**3/13 - 56*x**2/13 + 120*x/13 = 0 for x.
-2, 0, 2, 15/7
Find g, given that -20*g**5 - 255*g**4 - 1040*g**3 - 1845*g**2 - 1460*g - 420 = 0.
-7, -2, -1, -3/4
Solve 4*c**5/5 - 28*c**4/5 - 512*c**3/5 + 96*c**2/5 + 6336*c/5 - 1728 = 0 for c.
-6, 2, 15
Find h such that h**4 + h**3 - 2*h**2 = 0.
-2, 0, 1
Determine d, given that 2*d**3 + 1596*d**2 + 315186*d - 1286408 = 0.
-401, 4
Determine c, given that -75*c**5 - 12885*c**4 - 10116*c**3 + 122784*c**2/5 - 57408*c/5 + 8208/5 = 0.
-171, -2, 2/5
Solve -3*d**5 + 45*d**4 - 207*d**3 + 291*d**2 - 126*d = 0 for d.
0, 1, 6, 7
Factor -2*a**2/7 + 2988*a/7 - 1116018/7.
-2*(a - 747)**2/7
Factor 5*v**5 - 40*v**4 + 65*v**3 - 30*v**2.
5*v**2*(v - 6)*(v - 1)**2
Solve -h**4 - 2*h**3 + 4*h**2 + 8*h = 0 for h.
-2, 0, 2
Determine o so that 2*o**2/15 - 302*o - 4532/15 = 0.
-1, 2266
Solve 5*b**2/2 + 8920*b + 7956640 = 0 for b.
-1784
Factor -4*n**2 + 56*n + 60.
-4*(n - 15)*(n + 1)
Factor o**3/10 - 24*o**2/5 + 66*o - 968/5.
(o - 22)**2*(o - 4)/10
Find z, given that -14*z**2/5 - 424*z/5 - 24 = 0.
-30, -2/7
Solve 38*r**5 + 156*r**4 + 168*r**3 + 16*r**2 = 0.
-2, -2/19, 0
Factor 4*l**3/7 - 1392*l**2/7 + 121104*l/7.
4*l*(l - 174)**2/7
Determine i so that i**2/5 - 43*i/5 - 44/5 = 0.
-1, 44
Factor x**2 - 193*x + 940.
(x - 188)*(x - 5)
Find a, given that -a**5/3 - a**4 + 13*a**3/3 + 5*a**2 = 0.
-5, -1, 0, 3
Suppose -l**4/2 + l**3 - l + 1/2 = 0. Calculate l.
-1, 1
Determine k so that -k**3/2 + 24*k**2 - 288*k = 0.
0, 24
Find j, given that -2*j**4 - 10*j**3 - 4*j**2 + 16*j = 0.
-4, -2, 0, 1
Factor -4*a**4/9 - 28*a**3/3 - 80*a**2/9.
-4*a**2*(a + 1)*(a + 20)/9
Suppose -u**2/6 - 3*u/2 + 11/3 = 0. What is u?
-11, 2
Determine t so that 2*t**3/13 + 1356*t**2/13 + 306456*t/13 + 23086352/13 = 0.
-226
Factor -5*l**4/2 - 35*l**3 - 295*l**2/2 - 175*l.
-5*l*(l + 2)*(l + 5)*(l + 7)/2
Let 7*a**4/2 - 37*a**3/2 + 33*a**2 - 22*a + 4 = 0. What is a?
2/7, 1, 2
Factor i**3/3 + 25*i**2/3 + 191*i/3 + 455/3.
(i + 5)*(i + 7)*(i + 13)/3
Determine m so that 3*m**5 - 21*m**4 - 81*m**3 + 237*m**2 + 78*m - 216 = 0.
-4, -1, 1, 2, 9
Factor 3*x**4 - 159*x**3 + 1011*x**2 - 2097*x + 1242.
3*(x - 46)*(x - 3)**2*(x - 1)
Determine v, given that 2*v**5/3 - 46*v**4/3 + 116*v**3/3 + 1832