ulate a.
-86, 2
Suppose m**2/6 + 104*m/3 + 5408/3 = 0. Calculate m.
-104
Suppose 2*p**3/5 - 114*p**2/5 + 432*p/5 - 424/5 = 0. What is p?
2, 53
Factor -2*g**2/23 - 72*g/23 + 74/23.
-2*(g - 1)*(g + 37)/23
Factor m**4/3 + 11*m**3/3 - 19*m**2 + 15*m.
m*(m - 3)*(m - 1)*(m + 15)/3
Find u, given that -u**2 + 14*u - 13 = 0.
1, 13
Factor q**3 - 9*q**2 - 12*q + 20.
(q - 10)*(q - 1)*(q + 2)
Suppose -26*p**4/9 + 68*p**3/3 - 514*p**2/9 + 128*p/3 + 8 = 0. What is p?
-2/13, 2, 3
Factor -2*m**5/17 + 2*m**4/17 + 4*m**3/17.
-2*m**3*(m - 2)*(m + 1)/17
Find k such that 4*k**4 - 224*k**3 + 2328*k**2 + 5344*k + 2788 = 0.
-1, 17, 41
Suppose -7*z**5 + 3*z**4 + 7*z**3 - 3*z**2 = 0. What is z?
-1, 0, 3/7, 1
Let -2*q**4/23 - 8*q**3/23 + 2*q**2/23 + 32*q/23 + 24/23 = 0. What is q?
-3, -2, -1, 2
Factor 2*p**3 + 18*p**2 - 2*p - 18.
2*(p - 1)*(p + 1)*(p + 9)
Determine m so that -3*m**4/2 + m**3/2 + 4*m**2 + 2*m = 0.
-1, -2/3, 0, 2
Factor -v**2/3 - 13*v/3 - 4.
-(v + 1)*(v + 12)/3
Find u, given that u**2/8 - 25*u/2 - 51/2 = 0.
-2, 102
Factor 2*u**2 - 154*u.
2*u*(u - 77)
Let -42*y**4 - 1612*y**3 - 15762*y**2 - 5472*y + 2888 = 0. What is y?
-19, -2/3, 2/7
Suppose -2*m**5/9 - 4*m**4/3 - 4*m**3/9 + 32*m**2/9 + 2*m/3 - 20/9 = 0. What is m?
-5, -2, -1, 1
Let -2*c**4/7 + 10*c**3/7 - 10*c**2/7 - 10*c/7 + 12/7 = 0. What is c?
-1, 1, 2, 3
Determine g so that 3*g**4/5 - 3*g**2/5 = 0.
-1, 0, 1
Let 3*f**5 - 33*f**4 - 78*f**3 = 0. Calculate f.
-2, 0, 13
Suppose s**2/3 - 7*s/3 + 2 = 0. Calculate s.
1, 6
Suppose s**5/4 - s**4/4 - 7*s**3/4 + 13*s**2/4 - 3*s/2 = 0. Calculate s.
-3, 0, 1, 2
Factor 2*q**2 - 680*q + 678.
2*(q - 339)*(q - 1)
Solve 2*w**5/13 + 232*w**4/13 + 6722*w**3/13 - 692*w**2/13 - 19720*w/13 + 13456/13 = 0.
-58, -2, 1
Factor 2*f**3/5 + 212*f**2/5 + 3538*f/5 - 119072/5.
2*(f - 16)*(f + 61)**2/5
Let 14*o**4/11 - 4*o**3/11 = 0. What is o?
0, 2/7
Factor -3*j**3 - 6*j**2 + 93*j - 84.
-3*(j - 4)*(j - 1)*(j + 7)
Factor 4*z**4/5 - 84*z**3 + 13764*z**2/5 - 104044*z/5 - 1215672/5.
4*(z - 37)**3*(z + 6)/5
Suppose -4*y**5 + 32*y**3 + 24*y**2 - 28*y - 24 = 0. What is y?
-2, -1, 1, 3
Let -41*a**2/12 - 5*a/2 = 0. Calculate a.
-30/41, 0
Suppose -h**2/5 + 228*h/5 - 227/5 = 0. What is h?
1, 227
Suppose -b**4 + 3*b**2 + 2*b = 0. Calculate b.
-1, 0, 2
Factor 4*x**5 - 268*x**4 - 828*x**3 - 836*x**2 - 280*x.
4*x*(x - 70)*(x + 1)**3
Factor v**3/4 + v**2/2 - 2*v.
v*(v - 2)*(v + 4)/4
Factor -2*p**2/5 - 5254*p/5.
-2*p*(p + 2627)/5
Factor -t**3/8 - 39*t**2/8 - 60*t - 224.
-(t + 7)*(t + 16)**2/8
Let x**4/5 - 11*x**3/5 + 26*x**2/5 - 16*x/5 = 0. Calculate x.
0, 1, 2, 8
Let -27*r**4/2 - 399*r**3/2 - 711*r**2 - 642*r + 180 = 0. What is r?
-10, -3, -2, 2/9
Factor -5*x**3 - 125*x**2 - 1040*x - 2880.
-5*(x + 8)**2*(x + 9)
Factor -3*v**2 - 18*v - 27.
-3*(v + 3)**2
Let -5*h**4/3 + 89*h**3/3 + 146*h**2 + 524*h/3 + 88/3 = 0. Calculate h.
-2, -1/5, 22
Find r such that 2*r**3 + 80*r**2 + 800*r = 0.
-20, 0
Solve 25*g**4 - 29010*g**3 + 69525*g**2 - 52120*g + 11580 = 0.
2/5, 1, 1158
Suppose 3*x**3 + 12*x**2 - 57*x + 42 = 0. What is x?
-7, 1, 2
Determine a so that -14*a**5 - 32*a**4 + 1112*a**3 + 2588*a**2 + 1782*a + 324 = 0.
-9, -1, -2/7, 9
Find t, given that 8*t**5/3 + 452*t**4/3 + 6038*t**3/3 - 9745*t**2/3 + 4988*t/3 - 841/3 = 0.
-29, 1/2
Find s, given that s**5/6 - 5*s**4/3 + 14*s**3/3 - 4*s**2 = 0.
0, 2, 6
Suppose a**5 - 16*a**4 + 68*a**3 + 46*a**2 - 693*a + 882 = 0. Calculate a.
-3, 2, 3, 7
Find t such that 27*t**5 + 369*t**4 + 1587*t**3 + 2451*t**2 + 1158*t + 168 = 0.
-7, -4, -2, -1/3
Factor 2*n**2/5 + 738*n/5.
2*n*(n + 369)/5
Solve 3*z**3 + 15*z**2 - 75*z - 375 = 0.
-5, 5
Factor -5*j**5 - 215*j**4 + 2040*j**3.
-5*j**3*(j - 8)*(j + 51)
Factor 275*c**3 - 265*c**2 - 10*c.
5*c*(c - 1)*(55*c + 2)
Find r, given that 5*r**5 - 40*r**4 + 120*r**3 - 170*r**2 + 115*r - 30 = 0.
1, 2, 3
Factor l**4/7 - 15*l**3/7 - 17*l**2/7 + 15*l/7 + 16/7.
(l - 16)*(l - 1)*(l + 1)**2/7
Factor -k**5/3 + 2*k**4/3 + 29*k**3/3 + 46*k**2/3 - 20*k/3 - 56/3.
-(k - 7)*(k - 1)*(k + 2)**3/3
Factor -2*u**5/17 - 6*u**4/17 + 20*u**3/17.
-2*u**3*(u - 2)*(u + 5)/17
Let -3*s**3 - 75*s**2 - 138*s = 0. Calculate s.
-23, -2, 0
Suppose -5*z**3/3 - 65*z**2/3 + 325*z/3 - 85 = 0. What is z?
-17, 1, 3
Factor -2*i**3 - 2*i**2 + 16*i + 24.
-2*(i - 3)*(i + 2)**2
Suppose -4*z**4 + 256*z**2 = 0. What is z?
-8, 0, 8
Determine b so that 3*b**2 - 786*b + 2331 = 0.
3, 259
Let c**3 + 19*c**2 - 105*c - 2475 = 0. What is c?
-15, 11
Factor 4*c**2 - 7596*c + 7592.
4*(c - 1898)*(c - 1)
Factor 2*x**2/5 + 64*x/5 + 62/5.
2*(x + 1)*(x + 31)/5
Let 2*g**5 - 238*g**4/3 + 76*g**3 + 16312*g**2 + 16016*g/3 - 10816 = 0. Calculate g.
-12, -1, 2/3, 26
Factor 144*k**2/5 + 28*k - 4/5.
4*(k + 1)*(36*k - 1)/5
Let m**3/3 - m/3 = 0. What is m?
-1, 0, 1
Let 2*y**2 - 140*y - 288 = 0. What is y?
-2, 72
Determine f, given that f**3/8 - 13*f**2/8 - 8*f - 17/2 = 0.
-2, 17
Find q such that 210*q**5 - 1415*q**4 + 1990*q**3 - 835*q**2 + 50*q = 0.
0, 1/14, 2/3, 1, 5
Factor 2770658*b**2/7 + 9416*b/7 + 8/7.
2*(1177*b + 2)**2/7
Factor -o**2 + 193*o.
-o*(o - 193)
Solve 3*z**3 + 253*z**2 - 428*z + 172 = 0.
-86, 2/3, 1
Solve -162*w**4 - 90*w**3 + 388*w**2 - 152*w + 16 = 0.
-2, 2/9, 1
Find c, given that 4*c**2 + 448*c + 12544 = 0.
-56
Determine a, given that 3*a**4/4 - 3*a**3/4 - 15*a**2/2 - 6*a = 0.
-2, -1, 0, 4
Solve -16*u**4 - 8*u**3 + 39*u**2 - 17*u + 2 = 0.
-2, 1/4, 1
Factor c**2 - 1310*c - 2624.
(c - 1312)*(c + 2)
Factor 10*u**4 + 165*u**3 + 545*u**2 - 1125*u + 405.
5*(u - 1)*(u + 9)**2*(2*u - 1)
Factor z**3/4 - 3*z**2/4 + z/2.
z*(z - 2)*(z - 1)/4
Factor -78141*o**4 + 12871*o**3 - 760*o**2/3 + 4*o/3.
-o*(7*o - 1)*(183*o - 2)**2/3
Factor 4*i**3 + 332*i**2 - 1380*i + 1044.
4*(i - 3)*(i - 1)*(i + 87)
Solve 5*q**3 - 14*q**2 - 49*q - 30 = 0 for q.
-6/5, -1, 5
Solve 3*b**4 - 81*b**3 + 711*b**2 - 2211*b + 2178 = 0.
2, 3, 11
Suppose 3*i**2/8 - 591*i/4 + 116427/8 = 0. What is i?
197
Factor 18*l**3 + 3*l**2 - 12*l + 3.
3*(l + 1)*(2*l - 1)*(3*l - 1)
Factor 2*b**2/5 - 8*b - 42/5.
2*(b - 21)*(b + 1)/5
Factor 2*m**3 - 8*m**2 + 8*m.
2*m*(m - 2)**2
Let 2*b**4/9 - 58*b**3/9 + 398*b**2/9 - 38*b = 0. What is b?
0, 1, 9, 19
Determine r, given that r**4 + 15*r**3 + 50*r**2 = 0.
-10, -5, 0
Find n, given that -5*n**2 - 75*n - 280 = 0.
-8, -7
Factor -100*u**4 - 17520*u**3 - 724176*u**2 + 3784320*u - 4665600.
-4*(u + 90)**2*(5*u - 12)**2
Determine x so that x**4 + 62*x**3/5 - 321*x**2/5 - 538*x/5 - 32 = 0.
-16, -1, -2/5, 5
Factor -g**2/10 - 239*g/10 + 24.
-(g - 1)*(g + 240)/10
Suppose -h**2/10 + 11*h/10 + 13/5 = 0. Calculate h.
-2, 13
Factor 2*z**2 + 34*z + 132.
2*(z + 6)*(z + 11)
Factor -2*c**2/19 - 154*c/19.
-2*c*(c + 77)/19
Solve 4*o**3/5 - 4*o**2 - 100*o - 300 = 0.
-5, 15
Let -2*y**2/3 - 4*y - 10/3 = 0. What is y?
-5, -1
Find h, given that 3*h**4/7 - 53*h**3/7 - 783*h**2/7 + 13617*h/7 + 4624/7 = 0.
-16, -1/3, 17
Factor 6591*u**3/2 + 1521*u**2 + 234*u + 12.
3*(13*u + 2)**3/2
Factor 2*i**3/3 + 34*i**2/3 - 74*i/3 + 38/3.
2*(i - 1)**2*(i + 19)/3
Determine a, given that -a**3/8 + a/8 = 0.
-1, 0, 1
What is x in 3*x**3 - 855*x**2 + 81225*x - 2572125 = 0?
95
Factor -3*l**5 + 84*l**4 - 666*l**3 + 1092*l**2 - 507*l.
-3*l*(l - 13)**2*(l - 1)**2
Suppose -5*z**4 + 10*z**3 + 5*z**2 - 10*z = 0. Calculate z.
-1, 0, 1, 2
Solve -3*q**2 + 2973*q = 0.
0, 991
Suppose 2*t**5/17 + 2*t**4/17 - 10*t**3/17 - 10*t**2/17 + 8*t/17 + 8/17 = 0. What is t?
-2, -1, 1, 2
Find x, given that 4*x**3/5 - 12*x**2 + 56*x/5 = 0.
0, 1, 14
Factor 4*d**5/7 - 104*d**4/7 + 288*d**3/7 - 40*d**2 + 92*d/7.
4*d*(d - 23)*(d - 1)**3/7
Suppose 6*c**3 + 75*c**2/2 + 57*c + 12 = 0. Calculate c.
-4, -2, -1/4
Let 9*h**5/4 - 111*h**4/2 - 282*h**3 - 63*h**2/2 + 1119*h/4 + 87 = 0. Calculate h.
-4, -1, -1/3, 1, 29
Factor 4*m**4 - 1220*m**3 - 3684*m**2 - 3692*m - 1232.
4*(m - 308)*(m + 1)**3
Factor 2*o**5/7 + 32*o**4/7 + 176*o**3/7 + 384*o**2/7 + 288*o/7.
2*o*(o + 2)**2*(o + 6)**2/7
Suppose 5*c**5 - 20*c**4 - 10*c**3 + 40*c**2 + 5*c - 20 = 0. Calculate c.
-1, 1, 4
Factor 3*p**4 + 423*p**3 + 1242*p**2 - 12*p - 1656.
3*(p - 1)*(p + 2)**2*(p + 138)
Determine d, given that 3*d**3 - 12*d**2 - 273*d + 1470 = 0.
-10, 7
Let a**5 - 70*a**4 - 144*a**3 - 2*a**2 + 143*a + 72 = 0. What is a?
-1, 1, 72
Factor 6*q**3 - 16*q**2 + 14*q - 4.
2*(q - 1)**2*(3*q - 2)
Solve -4*b**2/3 - 1880*b - 11264/3 = 0.
