Find o, given that 34/9*o**2 - 8/3 - 10/9*o**4 - 38/9*o**3 + 32/9*o + 2/3*o**5 = 0.

Find c such that -¹²⁄₅*c + ⁶³⁄₅ - ³⁄₅*c**2 = 0.

-7, 3

Let y(g) = 115*g2 + 4130*g + 3945. Let l(x) = 13*x2 + 459*x + 438. Let k(z) = -35*l(z) + 4*y(z). Factor k(m).

5(m + 1)(m + 90)

Let s = 1586 - ³¹⁷¹⁄₂. Let n be 1 - ¹⁵⁄₆ - -4. Factor ³⁄₂ - n*u + ¹⁄₂*u2 + s*u3.

(u - 1)*2(u + 3)/2

Let v(j) = -j2 - 1. Let y(p) = 256*p2 - 21*p + 61*p - 257*p**2 + 74. Let w(s) = s - 6. Let c be w(12). Let l(o) = c*v(o) - y(o). What is i in l(i) = 0?

-4

Let l(q) = -q3 + 13*q2 - 28*q + 70. Let w be l(11). Suppose 41*n - 46*n = 4*x - 6, -10 = -3*n + w*x. What is z in ²⁄₁₇*z + ⁶⁄₁₇*z**n - ⁴⁄₁₇ = 0?

-1, ²⁄₃

Let r(s) = -5*s4 - 59*s3 + 53*s2 + 59*s - 60. Let q(m) = m3 + 3*m**2 - m. Let n(h) = -4*q(h) - r(h). Factor n(i).

5*(i - 1)*2(i + 1)*(i + 12)

Factor ¹⁄₂*n5 + ²⁸⁵⁄₂*n3 + 0*n + 361*n2 + 0 - 18*n4.

n2*(n - 19)2*(n + 2)/2

Factor -¹⁸⁄₅*q**2 - ⁸⁄₅ + ²⁶⁄₅*q.

-2(q - 1)(9*q - 4)/5

Determine i so that ¹⁴⁴⁄₇*i - ¹³⁴⁄₇*i2 + ⁷²⁄₇ - ¹⁰⁄₇*i3 + ¹⁶⁄₇*i**4 = 0.

-3, -³⁄₈, 2

Let p(d) be the first derivative of -6*d6 - 12*d⁵⁄₅ + 15*d⁴⁄₄ + 2*d3 - 1629. Factor p(s).

-3*s2*(2*s + 1)2*(3*s - 2)