*2 - 16560*t - 8464 = 0.
-1, 46
Factor 3*g**2/4 + 189*g/2 - 2793/4.
3*(g - 7)*(g + 133)/4
Find y such that y**4 + 25*y**3 + 126*y**2 = 0.
-18, -7, 0
Solve 5*n**5/3 - 20*n**4/3 + 5*n**3 + 20*n**2/3 - 20*n/3 = 0.
-1, 0, 1, 2
Factor -2*b**5/15 - 10*b**4 + 154*b**3/5 - 466*b**2/15 + 52*b/5.
-2*b*(b - 1)**3*(b + 78)/15
Factor -4*u**2 - 3156*u.
-4*u*(u + 789)
Suppose 156*n**4 - 460*n**3 - 24*n**2 = 0. Calculate n.
-2/39, 0, 3
Solve f**5 - 13*f**4 + 50*f**3 - 50*f**2 - 51*f + 63 = 0 for f.
-1, 1, 3, 7
Factor -20*h**2 - 8375*h + 2095.
-5*(h + 419)*(4*h - 1)
Determine d so that -2*d**4 - 478*d**3 - 28798*d**2 - 28322*d = 0.
-119, -1, 0
Determine y so that -2*y**2 + 184*y = 0.
0, 92
Factor 5*v**5 - 20*v**3.
5*v**3*(v - 2)*(v + 2)
Find f such that 52*f**3 + 408*f**2 - 532*f + 72 = 0.
-9, 2/13, 1
Let -u**4/2 - 10*u**3 - 53*u**2/2 - 17*u = 0. What is u?
-17, -2, -1, 0
Let 2*m**2 - 12*m + 10 = 0. What is m?
1, 5
Let -4*n**4 + 36*n**3 + 28*n**2 - 228*n - 216 = 0. Calculate n.
-2, -1, 3, 9
Let -4*r**2 - 1984*r - 1980 = 0. What is r?
-495, -1
Solve 2*n**5/17 + 208*n**4/17 - 224*n**3/17 - 1444*n**2/17 + 2718*n/17 - 1260/17 = 0.
-105, -3, 1, 2
Factor 2*o**2/11 - 26*o/11 + 84/11.
2*(o - 7)*(o - 6)/11
Suppose -2*k**2/9 - 674*k/9 - 224/3 = 0. What is k?
-336, -1
Suppose -5*f**2 + 1650*f - 1645 = 0. Calculate f.
1, 329
Factor -2*g**5/13 - 4*g**4/13 + 6*g**3/13 + 8*g**2/13 - 8*g/13.
-2*g*(g - 1)**2*(g + 2)**2/13
Determine m so that 2*m**4/25 - 4*m**3/5 + 56*m**2/25 - 48*m/25 = 0.
0, 2, 6
Factor 5*f**3 - 175*f**2 + 490*f - 320.
5*(f - 32)*(f - 2)*(f - 1)
What is v in v**2/5 - 41*v/5 + 8 = 0?
1, 40
Factor 2*z**2/23 - 48*z/23 + 2.
2*(z - 23)*(z - 1)/23
Factor -2*x**3/13 - 232*x**2/13 + 470*x/13 - 236/13.
-2*(x - 1)**2*(x + 118)/13
Factor 2*q**5/11 - 6*q**4/11 - 84*q**3/11 - 200*q**2/11 - 144*q/11.
2*q*(q - 9)*(q + 2)**3/11
Factor 4*l**3 + 240*l**2 + 468*l + 232.
4*(l + 1)**2*(l + 58)
Solve -28*h**3 - 16*h**2 + 68*h - 24 = 0.
-2, 3/7, 1
Let h**5/5 - 2*h**3/5 + h/5 = 0. What is h?
-1, 0, 1
Suppose 4*p**3 - 8*p**2 - 32*p = 0. Calculate p.
-2, 0, 4
Factor -q**3 - 88*q**2 + 271*q - 182.
-(q - 2)*(q - 1)*(q + 91)
Factor 2*f**2 + 8*f + 8.
2*(f + 2)**2
Factor -8*i**3 - 264*i**2 - 258*i - 64.
-2*(i + 32)*(2*i + 1)**2
Factor -w**4/6 + w**3/3 - w/3 + 1/6.
-(w - 1)**3*(w + 1)/6
Suppose -10*i**5/3 + 28*i**4/3 - 46*i**3/5 + 56*i**2/15 - 8*i/15 = 0. Calculate i.
0, 2/5, 1
Determine i so that -3*i**4/5 - 93*i**3 - 183*i**2 + 93*i + 918/5 = 0.
-153, -2, -1, 1
Factor 4*r**3/7 - 318*r**2/7 + 6240*r/7 + 3200/7.
2*(r - 40)**2*(2*r + 1)/7
Determine t so that -4*t**2/7 - 30*t/7 - 2 = 0.
-7, -1/2
Factor -2*o**4 - 90*o**3 + 2*o**2 + 90*o.
-2*o*(o - 1)*(o + 1)*(o + 45)
Factor 11*t**2/5 + 2*t/5 - 9/5.
(t + 1)*(11*t - 9)/5
Factor 2*i**3 - 2*i**2 - 12*i.
2*i*(i - 3)*(i + 2)
Determine q so that -4*q**4 + 244*q**3 - 4480*q**2 + 25872*q = 0.
0, 14, 33
Factor -3*i**4 + 5*i**3 - i**2 - i.
-i*(i - 1)**2*(3*i + 1)
Let r**4/3 + 5*r**3 + 71*r**2/3 + 35*r = 0. Calculate r.
-7, -5, -3, 0
Factor d**3/3 - 498*d**2 + 248004*d - 41168664.
(d - 498)**3/3
Find j, given that -j**3 - 150*j**2 - 5772*j - 10952 = 0.
-74, -2
Solve 3*d**5/8 + 39*d**4/8 + 69*d**3/4 - 15*d**2/4 - 525*d/8 + 375/8 = 0 for d.
-5, 1
Factor 98*m**4 + 728*m**3 + 428*m**2 - 3432*m + 2178.
2*(m - 1)**2*(7*m + 33)**2
Solve 5*h**3 - 15*h + 10 = 0.
-2, 1
Find r, given that -3*r**2 - 21*r = 0.
-7, 0
Factor -2*m**4 - 52*m**3 - 258*m**2 - 360*m.
-2*m*(m + 3)**2*(m + 20)
Find b, given that b**5 + 9*b**4/4 + b**3/2 = 0.
-2, -1/4, 0
Factor 5*d**2/3 + 41*d/9 - 4/3.
(d + 3)*(15*d - 4)/9
What is v in -v**4/7 + 3*v**3 - 57*v**2/7 + 55*v/7 - 18/7 = 0?
1, 18
Find i such that -2*i**2 + 76*i = 0.
0, 38
Find m, given that -2*m**2/7 - 41*m/7 - 20/7 = 0.
-20, -1/2
Factor 4*w**4/5 - 4*w**3 + 8*w**2/5 + 32*w/5.
4*w*(w - 4)*(w - 2)*(w + 1)/5
Factor -n**4 - 31*n**3 + n**2 + 31*n.
-n*(n - 1)*(n + 1)*(n + 31)
Factor -82*h**2 - 78*h + 4.
-2*(h + 1)*(41*h - 2)
Suppose -20*t**4 - 55*t**3 - 25*t**2 + 10*t = 0. Calculate t.
-2, -1, 0, 1/4
Factor -2*s**3 - 72*s**2 + 152*s.
-2*s*(s - 2)*(s + 38)
What is r in -2*r**2/7 + 108*r/7 + 110/7 = 0?
-1, 55
Factor -2*o**2/7 + 138*o/7 - 640/7.
-2*(o - 64)*(o - 5)/7
Let -98*f**3/15 - 728*f**2/15 + 88*f/3 - 64/15 = 0. Calculate f.
-8, 2/7
Factor -n**4 - 7*n**3 - 12*n**2 + 4*n + 16.
-(n - 1)*(n + 2)**2*(n + 4)
Solve -7*n**3/9 + 149*n**2/9 + 280*n/9 - 92/9 = 0.
-2, 2/7, 23
Factor s**2/5 + 117*s/5 - 118/5.
(s - 1)*(s + 118)/5
Determine o, given that -o**2/3 - 194*o/3 - 2353/3 = 0.
-181, -13
Factor c**2 - 3*c - 10.
(c - 5)*(c + 2)
Factor o**4/2 - 23*o**3 + 481*o**2/2 + 552*o + 288.
(o - 24)**2*(o + 1)**2/2
Solve 3*j**2 - 15*j + 12 = 0 for j.
1, 4
Find d such that -2*d**5 - 12*d**4/7 + 226*d**3/7 - 312*d**2/7 + 40*d/7 = 0.
-5, 0, 1/7, 2
Solve -c**3/4 - 5*c**2/4 + 17*c/4 + 21/4 = 0.
-7, -1, 3
Factor -h**5/5 - 2*h**4/5 + 7*h**3/5 - 4*h**2/5.
-h**2*(h - 1)**2*(h + 4)/5
Suppose -3*x**2/7 - 858*x/7 - 1704/7 = 0. Calculate x.
-284, -2
What is u in 4*u**4 - 80*u**3 + 504*u**2 - 784*u - 1372 = 0?
-1, 7
Find n such that 20*n**5 + 432*n**4 + 1744*n**3 - 768*n**2 = 0.
-16, -6, 0, 2/5
What is u in -5*u**5 - 75*u**4 + 370*u**3 + 1560*u**2 - 4640*u - 5760 = 0?
-18, -4, -1, 4
Factor -x**4/5 + 24*x**3/5 + 138*x**2/5 + 40*x + 87/5.
-(x - 29)*(x + 1)**2*(x + 3)/5
What is r in -2*r**2 - 98*r = 0?
-49, 0
Factor 3*l**2 + 13260*l.
3*l*(l + 4420)
Suppose -4*h**5 - 388*h**4 + 792*h**3 - 8*h**2 - 788*h + 396 = 0. What is h?
-99, -1, 1
Determine w, given that 10*w**4 + 805*w**3 - 3790*w**2 + 3005*w + 2550 = 0.
-85, -1/2, 2, 3
Let -v**4/3 + 17*v**3 + 53*v**2/3 - 17*v - 52/3 = 0. Calculate v.
-1, 1, 52
Find q, given that -q**3/5 - 92*q**2/5 - 679*q/5 - 588/5 = 0.
-84, -7, -1
Factor -4*d**3 - 24*d**2 + 16*d + 96.
-4*(d - 2)*(d + 2)*(d + 6)
Solve 98*i**4 - 21546*i**3 + 18420*i**2 - 36808*i/7 + 3504/7 = 0 for i.
2/7, 219
Let -15*h**2/2 - 189*h - 216 = 0. Calculate h.
-24, -6/5
Factor -k**2/4 + 2*k - 3.
-(k - 6)*(k - 2)/4
Let 27*z**3 - 1743*z**2 - 2336*z/3 - 260/3 = 0. Calculate z.
-2/9, 65
Let 2*r**3/9 - 164*r**2/9 + 1064*r/3 + 784 = 0. Calculate r.
-2, 42
Factor 5*n**3 - 650*n**2 + 2535*n - 1890.
5*(n - 126)*(n - 3)*(n - 1)
Find f, given that -3*f**3 + 732*f**2 + 2976*f = 0.
-4, 0, 248
Let -3*f**3/5 + 174*f**2/5 + 357*f/5 + 36 = 0. What is f?
-1, 60
Factor -4*z**3 - 748*z**2/7 + 216*z/7.
-4*z*(z + 27)*(7*z - 2)/7
Factor -15*y**3 + 834*y**2 + 336*y.
-3*y*(y - 56)*(5*y + 2)
What is s in 2*s**5/7 + 20*s**4/7 + 68*s**3/7 + 104*s**2/7 + 74*s/7 + 20/7 = 0?
-5, -2, -1
Factor c**3/7 - 2*c**2/7 - 4*c/7 + 8/7.
(c - 2)**2*(c + 2)/7
Determine u so that 2*u**2 - 1636*u + 3264 = 0.
2, 816
Factor -3*f**3.
-3*f**3
Suppose -2*m**2 + 52*m + 54 = 0. What is m?
-1, 27
Determine j, given that -676*j**3 - 4264*j**2 - 1264*j - 96 = 0.
-6, -2/13
Determine b so that 117*b**2 + 115*b - 2 = 0.
-1, 2/117
Factor -5*n**4/4 + 5*n**3/4 + 5*n**2/2.
-5*n**2*(n - 2)*(n + 1)/4
Suppose 2*a**3 - 12*a**2 + 6*a + 20 = 0. What is a?
-1, 2, 5
Factor -b**2/4 - 43*b - 1849.
-(b + 86)**2/4
Find p such that 7*p**5/2 + 25*p**4/2 + 13*p**3 + 4*p**2 = 0.
-2, -1, -4/7, 0
What is x in -x**5/3 - 15*x**4 - 150*x**3 + 2250*x**2 + 50625*x + 253125 = 0?
-15, 15
Suppose -15*p**3 - 155*p**2 + 115*p + 55 = 0. Calculate p.
-11, -1/3, 1
Let -4*a**4/3 - 16*a**3 + 4*a**2 + 152*a/3 + 32 = 0. Calculate a.
-12, -1, 2
Factor 38084907*x**2/5 - 42756*x/5 + 12/5.
3*(3563*x - 2)**2/5
Solve 2*u**4/9 + 4*u**3/3 + 8*u**2/9 - 16*u/3 - 64/9 = 0.
-4, -2, 2
Factor -2*b**2 + 324*b - 13122.
-2*(b - 81)**2
Find d such that -3*d**2 + 99*d = 0.
0, 33
Determine y, given that -y**4/4 - 15*y**3/2 + 131*y**2/4 - 42*y + 17 = 0.
-34, 1, 2
Let -v**3/7 - 37*v**2/7 - 71*v/7 - 5 = 0. Calculate v.
-35, -1
Find n, given that n**3 + 88*n**2 - 271*n + 182 = 0.
-91, 1, 2
Factor 5*l**4 + 35*l**3 - 195*l**2 - 475*l - 250.
5*(l - 5)*(l + 1)**2*(l + 10)
Factor -g**3/3 - 17*g**2 + 18*g + 104/3.
-(g - 2)*(g + 1)*(g + 52)/3
Factor 2*w**2/7 - 34*w/7 + 104/7.
2*(w - 13)*(w - 4)/7
Solve 324*p**3 + 8604*p**2 - 3872*p + 432 = 0 for p.
-27, 2/9
Solve x**4/8 - x**3 + 9*x**2/4 - 27/8 = 0 for x.
-1, 3
Factor -2*y**2 - 42*y - 196.
-2*(y + 7)*(y + 14)
Factor -3*u**3/2 + 183*u**2/2 - 1716*u + 9126.
-3*(u - 26)**2*(u - 9)/2
Let -3*k**4/7 + 3*k**3/7 + 12*k**2/7 - 12*k/7 = 0. What is k?
-2