8*q/5 + 56 = 0 for q.
-14, -10, -1, -2/7
Suppose 3*s**5 + 69*s**4 + 450*s**3 + 1068*s**2 + 840*s = 0. Calculate s.
-14, -5, -2, 0
Solve -5*m**5 + 59*m**4 + 12*m**3 = 0.
-1/5, 0, 12
Factor 5*w**5/2 + 375*w**4/2 + 9375*w**3/2 + 78125*w**2/2.
5*w**2*(w + 25)**3/2
Solve -x**5/5 + 8*x**3/5 + 6*x**2/5 - 7*x/5 - 6/5 = 0.
-2, -1, 1, 3
Factor -2*d**3/3 + 160*d**2 - 318*d + 476/3.
-2*(d - 238)*(d - 1)**2/3
Factor u**2/5 - 31*u/5 + 58/5.
(u - 29)*(u - 2)/5
Solve 5*y**4 + 80*y**3 + 385*y**2 + 550*y + 240 = 0 for y.
-8, -6, -1
Factor 4*b**2 + 816*b + 41616.
4*(b + 102)**2
Factor 192*q**5 - 144*q**4 - 45*q**3 - 3*q**2.
3*q**2*(q - 1)*(8*q + 1)**2
Suppose 4*t**4/3 + 112*t**3 - 1748*t**2/3 + 944*t - 1424/3 = 0. Calculate t.
-89, 1, 2
Factor 10*f**5 + 45*f**4 + 80*f**3 + 70*f**2 + 30*f + 5.
5*(f + 1)**4*(2*f + 1)
Suppose -3*j**4/2 + 81*j**3/2 + 285*j**2 + 396*j = 0. What is j?
-4, -2, 0, 33
Solve -158*n**4 + 476*n**3 - 480*n**2 + 164*n - 2 = 0 for n.
1/79, 1
Solve -18*k**5 - 84*k**4 + 784*k**3 - 1632*k**2 + 1248*k - 320 = 0.
-10, 2/3, 2
Let 2*b**3/5 + 18*b**2 - 1772*b/5 + 336 = 0. What is b?
-60, 1, 14
Factor -2*i**4/5 + 1284*i**3/5 - 206082*i**2/5.
-2*i**2*(i - 321)**2/5
Suppose 18*f**3/7 - 1238*f**2/7 + 8508*f/7 + 1952/7 = 0. Calculate f.
-2/9, 8, 61
Suppose -5*v**4 + 210*v**3 - 1740*v**2 - 9890*v - 7935 = 0. What is v?
-3, -1, 23
Find s, given that -2*s**5/9 - 200*s**4/3 - 14998*s**3/3 + 1804*s**2/9 + 45400*s/3 + 10000 = 0.
-150, -1, 2
Determine a, given that -a**3 + 132*a**2 - 5808*a + 85184 = 0.
44
Factor 243*f**4 + 2322*f**3 + 7059*f**2 + 7224*f + 2352.
3*(f + 4)**2*(9*f + 7)**2
Factor 3*q**2/8 + 231*q/2 + 459/2.
3*(q + 2)*(q + 306)/8
Suppose q**5/5 - 32*q**4/5 + 31*q**3/5 = 0. What is q?
0, 1, 31
Factor p**4/6 + 11*p**3/6 + 9*p**2/2 + 25*p/6 + 4/3.
(p + 1)**3*(p + 8)/6
What is i in 6*i**2/7 + 9126*i/7 + 9120/7 = 0?
-1520, -1
Factor -2*p**4/9 + 2*p**3 - 16*p**2/9.
-2*p**2*(p - 8)*(p - 1)/9
Suppose -2*t**4/11 + 24*t**3/11 + 6*t**2/11 - 76*t/11 + 48/11 = 0. What is t?
-2, 1, 12
Suppose 3*a**5 + 84*a**4 - 102*a**3 - 444*a**2 - 261*a = 0. What is a?
-29, -1, 0, 3
Factor -5*d**3 + 400*d**2 - 1905*d + 2250.
-5*(d - 75)*(d - 3)*(d - 2)
Determine x so that 180*x**4 - 25080*x**3 + 8345*x**2 - 695*x = 0.
0, 1/6, 139
Factor 3*v**4 + 36*v**3 + 60*v**2.
3*v**2*(v + 2)*(v + 10)
Factor -4*o**2 - 108*o - 200.
-4*(o + 2)*(o + 25)
Factor 4*l**3/5 - 6*l**2/5 - 24*l/5 + 8.
2*(l - 2)**2*(2*l + 5)/5
Factor 2*a**3/5 - 104*a**2/5 - 88*a - 448/5.
2*(a - 56)*(a + 2)**2/5
Factor -2*j**5/11 + 16*j**4/11 - 48*j**3/11 + 64*j**2/11 - 32*j/11.
-2*j*(j - 2)**4/11
Solve -3*q**5 + 42*q**4 - 21*q**3 - 234*q**2 = 0 for q.
-2, 0, 3, 13
Factor -5*y**2 + 2365*y - 4710.
-5*(y - 471)*(y - 2)
Factor -4*x**2 + 2064*x - 266256.
-4*(x - 258)**2
Determine i, given that 3*i**2 - 72*i - 1596 = 0.
-14, 38
Solve -z**4 + 3*z**3 + 3*z**2 - 7*z - 6 = 0 for z.
-1, 2, 3
Find g, given that 9*g**5/5 - 3*g**4 - 12*g**3/5 + 12*g**2/5 = 0.
-1, 0, 2/3, 2
Factor 3*q**2 - 48*q + 189.
3*(q - 9)*(q - 7)
Solve 6*s**5/7 + 34*s**4/7 + 54*s**3/7 + 2*s**2 - 12*s/7 = 0.
-3, -2, -1, 0, 1/3
Determine z, given that z**2/2 - 44*z + 86 = 0.
2, 86
Factor 4*a**2 + 4*a - 8.
4*(a - 1)*(a + 2)
Suppose 5*v**2 - 48180*v + 116065620 = 0. Calculate v.
4818
Factor -2*h**2/13 - 556*h/13 - 554/13.
-2*(h + 1)*(h + 277)/13
Let 2*w**2 + 40*w - 88 = 0. What is w?
-22, 2
Let -22*g**3/9 + 62*g**2/9 - 32*g/9 - 8/9 = 0. What is g?
-2/11, 1, 2
Factor 10*v**2 + 9955*v + 4975.
5*(v + 995)*(2*v + 1)
Determine l so that l**2/2 + 788*l + 310472 = 0.
-788
Suppose 5*k**4 + 570*k**3 + 22200*k**2 + 314870*k + 759795 = 0. Calculate k.
-37, -3
Factor -8*o**2/5 + 18*o/5 - 2.
-2*(o - 1)*(4*o - 5)/5
Suppose d**3/3 + 206*d**2/9 - 23*d/3 = 0. Calculate d.
-69, 0, 1/3
Factor -4*m**2/7 - 128*m/7 + 272/7.
-4*(m - 2)*(m + 34)/7
Factor -s**2 - 826*s - 170569.
-(s + 413)**2
Suppose 5*o**2 + 33280*o + 55377920 = 0. Calculate o.
-3328
Factor 4*p**3 - 24*p**2 - 4*p + 120.
4*(p - 5)*(p - 3)*(p + 2)
Factor -22*x**2 - 172*x + 32.
-2*(x + 8)*(11*x - 2)
Suppose -d**3/5 + 6*d**2/5 - 9*d/5 = 0. Calculate d.
0, 3
Factor 5*l**3 - 40*l**2 + 55*l + 100.
5*(l - 5)*(l - 4)*(l + 1)
Solve 2*v**2 + 64*v = 0.
-32, 0
Factor -l**2/6 + 17*l/3 + 35/6.
-(l - 35)*(l + 1)/6
Let -4*f**3/9 - 38*f**2/9 - 44*f/9 + 32/9 = 0. What is f?
-8, -2, 1/2
Factor 23*t**4/5 - t**3/5.
t**3*(23*t - 1)/5
Factor -3*i**2 - 9246*i - 7124043.
-3*(i + 1541)**2
Factor 2*v**2/11 - 26156*v/11 + 85517042/11.
2*(v - 6539)**2/11
Suppose 2*g**4 - 294*g**3 + 572*g**2 + 1176*g - 2320 = 0. Calculate g.
-2, 2, 145
Find b, given that 2*b**4/23 + 16*b**3/23 + 44*b**2/23 + 48*b/23 + 18/23 = 0.
-3, -1
Determine q, given that -q**4 - 11*q**3 - 8*q**2 + 20*q = 0.
-10, -2, 0, 1
Factor -3*p**3 - 1332*p**2 - 147852*p.
-3*p*(p + 222)**2
Factor -r**4 - 20*r**3 + r**2 + 20*r.
-r*(r - 1)*(r + 1)*(r + 20)
Factor -3*v**3 + 33*v**2 - 78*v + 48.
-3*(v - 8)*(v - 2)*(v - 1)
Factor -2*v**5/7 - 338*v**4/7 - 2736*v**3 - 52864*v**2 - 50176*v.
-2*v*(v + 1)*(v + 56)**3/7
Factor 2*s**2 - 232*s + 6728.
2*(s - 58)**2
Suppose -3*m**5 - 9*m**4 + 51*m**3 + 117*m**2 + 60*m = 0. What is m?
-5, -1, 0, 4
Find y, given that -3*y**3 + 45*y**2 - 78*y = 0.
0, 2, 13
Factor b**3 - 7*b**2 + 16*b - 12.
(b - 3)*(b - 2)**2
Find j such that -85*j**5/6 + 195*j**4/2 - 560*j**3/3 + 90*j**2 + 40*j/3 = 0.
-2/17, 0, 1, 2, 4
Suppose v**5/11 + 12*v**4/11 - 76*v**3/11 + 146*v**2/11 - 117*v/11 + 34/11 = 0. Calculate v.
-17, 1, 2
Let 80*l**4 + 360*l**3 - 955*l**2 - 3060*l + 5780 = 0. Calculate l.
-17/4, 2
Factor -2*u**3/13 - 132*u**2/13 - 2178*u/13.
-2*u*(u + 33)**2/13
Let -a**5/5 - 214*a**4/5 - 11659*a**3/5 - 22258*a**2/5 + 2332*a + 22472/5 = 0. Calculate a.
-106, -2, -1, 1
Factor -q**3/4 - 9*q**2/2 + 57*q + 130.
-(q - 10)*(q + 2)*(q + 26)/4
What is t in -t**4/3 - 53*t**3/3 - 455*t**2/3 - 1075*t/3 = 0?
-43, -5, 0
Factor q**3/2 + 8*q**2 - 480*q - 9216.
(q - 32)*(q + 24)**2/2
Factor 2*a**5 + 106*a**4 - 444*a**3 + 676*a**2 - 454*a + 114.
2*(a - 1)**4*(a + 57)
Factor 3*h**2 - 171*h + 918.
3*(h - 51)*(h - 6)
Solve 2*n**5/17 - 74*n**4/17 + 390*n**3/17 - 550*n**2/17 - 16*n + 744/17 = 0.
-1, 2, 3, 31
Factor -t**4/4 + t**3 + 3*t**2/4 - 9*t/2.
-t*(t - 3)**2*(t + 2)/4
Suppose -2*o**2/17 + 11508*o/17 - 16554258/17 = 0. What is o?
2877
Determine y, given that -3*y**5/7 + 549*y**4/7 - 21312*y**3/7 - 346440*y**2/7 - 194544*y - 148176 = 0.
-6, -1, 98
Factor -k**2/4 + 4*k - 16.
-(k - 8)**2/4
What is i in -2*i**5 + 180*i**4 - 3032*i**3 - 46800*i**2 - 80000*i = 0?
-8, -2, 0, 50
Factor 4*o**2 - 1652*o - 8360.
4*(o - 418)*(o + 5)
Let -d**2/10 - 6*d/5 + 9/2 = 0. What is d?
-15, 3
Factor 6*y**4/7 - 71*y**3/7 + 204*y**2/7 - 156*y/7 - 32/7.
(y - 8)*(y - 2)**2*(6*y + 1)/7
Solve 27*w**5/8 + 99*w**4/8 + 33*w**3/4 - 12*w**2 - 12*w = 0.
-2, -4/3, 0, 1
Factor -3*w**2 - 243*w/8 - 15/4.
-3*(w + 10)*(8*w + 1)/8
Suppose 20*o**4/3 + 1588*o**3/3 + 32612*o**2/3 + 14404*o + 4056 = 0. Calculate o.
-39, -1, -2/5
Factor x**5/5 - 3*x**4/5 - x**3/5 + 3*x**2/5.
x**2*(x - 3)*(x - 1)*(x + 1)/5
Factor 6*x**3/5 - 144*x**2/5 + 702*x/5 - 972/5.
6*(x - 18)*(x - 3)**2/5
Let -3*f**5/2 + 4*f**4 + 3*f**3 - 4*f**2 - 3*f/2 = 0. What is f?
-1, -1/3, 0, 1, 3
Factor -30*m**4 + 35*m**3 - 5*m**2.
-5*m**2*(m - 1)*(6*m - 1)
Factor 2*m**4 - 16*m**3 + 26*m**2 - 12*m.
2*m*(m - 6)*(m - 1)**2
Suppose 4*l**5 + 876*l**4 + 49232*l**3 + 136512*l**2 - 186624*l = 0. Calculate l.
-108, -4, 0, 1
Let -4*u**2 + 68*u - 64 = 0. Calculate u.
1, 16
Find t such that -2*t**4 + 2*t**3 + 14*t**2 - 2*t - 12 = 0.
-2, -1, 1, 3
Factor -b**4/7 + 74*b**3/7 - 1441*b**2/7 + 2664*b/7 - 1296/7.
-(b - 36)**2*(b - 1)**2/7
Solve -3*d**5/5 + 6*d**4/5 + 36*d**3/5 - 42*d**2/5 - 33*d/5 + 36/5 = 0.
-3, -1, 1, 4
Let 15*t**5/2 + 12*t**4 - 27*t**3/2 - 12*t**2 + 6*t = 0. Calculate t.
-2, -1, 0, 2/5, 1
Suppose 3*r**3/2 - 18*r**2 + 123*r/2 - 45 = 0. Calculate r.
1, 5, 6
Let -m**2 + 8*m = 0. Calculate m.
0, 8
Find m, given that m**4/2 - m**3 - 9*m**2/2 + m + 4 = 0.
-2, -1, 1, 4
Factor 3*f**2/7 + 984*f/7 + 80688/7.
3*(f + 164)**2/7
Factor q**4/3 + 62*q**3/3 + 1229*q**2/3 + 6808*q/3 - 6348.
(q - 2)*(q + 18)*(q + 23)**2/3
Suppose 191*p**2/9 + 4*p/3 = 0. What is p?
-12/191, 0
Factor h**5/3 + 4*h**4/3 + 4*h**3/3.
h**3*(h + 2)**2/3
Factor 6*z**4 + 25*z**3 + 39*z**2 + 27*z + 7.
(z + 1)**3*(6*z + 7)
