 third derivative of 0 - 1/36*g**4 + 1/140*g**7 + 1/9*g**3 + 0*g + 1/120*g**6 + 5*g**2 - 11/360*g**5. Factor n(o).
(o + 1)**2*(3*o - 2)**2/6
Let m(d) be the first derivative of 5*d**4/48 - 7*d**3/24 + d**2/4 - d - 3. Let h(o) be the first derivative of m(o). Factor h(r).
(r - 1)*(5*r - 2)/4
Factor 2 + 1/3*c**3 - 2/3*c**2 - 5/3*c.
(c - 3)*(c - 1)*(c + 2)/3
Let p = -2/21 - -3/7. Let 0 + 0*s - 2/3*s**2 - s**3 + p*s**5 + 0*s**4 = 0. Calculate s.
-1, 0, 2
Let n(x) = x**3 - x**2 + 1. Let j(g) = 2*g**2 - 2 - g**2 + 2*g + 3*g**3 - 2*g. Let m(a) = -j(a) + 2*n(a). Let m(c) = 0. What is c?
-2, 1
Suppose 0 + 4/3*s - 1/3*s**2 = 0. What is s?
0, 4
Let i(r) = r**3 + 6*r**2 + 3*r + 2. Let h be i(-5). Suppose -1 + 7*z**2 + h*z**2 - 15*z**2 - 3*z = 0. What is z?
-1/4, 1
Suppose -j = -8 + 18. Let u = 31/3 + j. Suppose 1/3*r**3 - 1/3*r + 1/3 - u*r**2 = 0. Calculate r.
-1, 1
Let y be (-5)/(-3) - 2 - (-31)/21. Determine w so that 2/7*w**2 + y*w + 8/7 = 0.
-2
Factor 0 - 1/2*d**3 + 7/2*d**2 - 5*d.
-d*(d - 5)*(d - 2)/2
Let a = -44 + 48. Factor -1/5*s**2 + 2/5*s**3 + 0*s - 1/5*s**a + 0.
-s**2*(s - 1)**2/5
Factor 6*n - 9*n**3 + 6 - 33/2*n**2 + 27/2*n**4.
3*(n - 1)**2*(3*n + 2)**2/2
Let h be (-15)/30 + 7/12. Let k(q) be the first derivative of 0*q**2 - h*q**3 + 0*q + 3. Factor k(s).
-s**2/4
Suppose -a = b + 3*a + 5, a = -5*b + 13. Let n(s) be the second derivative of -1/12*s**3 + 0 + 0*s**2 - 5/48*s**4 - b*s. Factor n(g).
-g*(5*g + 2)/4
Determine a so that -2/9*a**3 + 0*a**4 + 0 + 2/9*a**5 + 0*a**2 + 0*a = 0.
-1, 0, 1
Suppose -f - 2 = -6. Suppose -4*a = f*c - 24, 4*c - 2*c + a - 8 = 0. Factor -2/5*d + 2/5*d**c - 4/5.
2*(d - 2)*(d + 1)/5
Let k = 40/9 - 28/9. Solve -2/9*d**4 + 8/9*d - k*d**2 - 2/9 + 8/9*d**3 = 0 for d.
1
Suppose g = -14 - 0. Let v be 4/(-10) + g/(-35). Factor 1/2*r**4 + r - 1/2 + v*r**2 - r**3.
(r - 1)**3*(r + 1)/2
Let s(x) = -6*x**4 - 12*x**3 - 9*x**2 - 3. Let u(v) = -4*v - 9*v**2 + 2*v + v - 7*v**4 - 4 + 2*v - 13*v**3. Let t(l) = -4*s(l) + 3*u(l). Solve t(f) = 0 for f.
-1, 0
Let p(t) be the second derivative of -t**4/12 - 5*t**3/3 - 25*t**2/2 - 20*t. Factor p(a).
-(a + 5)**2
Let x(n) be the third derivative of 5*n**8/84 + 8*n**7/35 + 2*n**6/15 - 2*n**5/3 - 3*n**4/2 - 4*n**3/3 - 8*n**2. Suppose x(d) = 0. What is d?
-1, -2/5, 1
Let h = 806 - 804. Suppose h - 8/3*q + 2/3*q**2 = 0. What is q?
1, 3
Let x(a) = -a**4 - 9*a**3 - 11*a**2 - a + 2. Let k(h) = h**4 + h**3. Let q(f) = -4*k(f) + 2*x(f). Find y such that q(y) = 0.
-2, -1, 1/3
Let g = -18 - -20. Suppose 4*d - g*d = 4. Let 0 - 4/5*y**d - 2/5*y - 2/5*y**3 = 0. Calculate y.
-1, 0
Let y(d) be the third derivative of 11*d**6/30 - 3*d**5/5 - d**4/3 - 5*d**2. Solve y(v) = 0.
-2/11, 0, 1
Let g(m) = -13*m**3 + 37*m**2 - 32*m + 5. Let k(f) = 6*f**3 - 18*f**2 + 16*f - 2. Let o(h) = 2*g(h) + 5*k(h). Factor o(c).
4*c*(c - 2)**2
Let j(a) = -a**2 - 6*a + 6. Let l be j(-6). Let i(u) be the first derivative of 3*u**4 + 8/3*u**3 + 0*u + 1/3*u**l + 8/5*u**5 - 2 + u**2. Factor i(k).
2*k*(k + 1)**4
Let w(j) = -69*j**3 + 2*j**2 + 2*j + 1. Let z be w(-1). Solve -3*h - z*h**4 + 3*h - 8*h**3 + 4*h**2 + 74*h**4 = 0.
0, 1
Let p(w) be the third derivative of -1/160*w**6 - 1/80*w**5 + 0*w**3 + 1/16*w**4 + 0*w + 4*w**2 + 0. Suppose p(f) = 0. What is f?
-2, 0, 1
Let n(w) be the second derivative of -w**5/4 - 35*w**4/12 - 55*w**3/6 - 25*w**2/2 + 42*w. Let n(j) = 0. What is j?
-5, -1
Let s(f) = -5*f**2 + 75*f + 2. Let z be s(15). Let 1/2*y**z + y + 1/2 = 0. Calculate y.
-1
Let w = 391 - 391. Determine o, given that -2/7*o + w + 8/7*o**2 = 0.
0, 1/4
Let x(n) = 4*n - 22. Let s be x(7). Factor 3/2*j**5 + 6*j**3 - 15/2*j - 3*j**2 + s*j**4 - 3.
3*(j - 1)*(j + 1)**3*(j + 2)/2
Let k(s) be the second derivative of 0 - 3*s - 4/3*s**2 + 2/9*s**3 + 1/18*s**4 - 1/60*s**5. Factor k(d).
-(d - 2)**2*(d + 2)/3
Let a(v) be the third derivative of v**5/12 + 8*v**2. Factor a(s).
5*s**2
Factor -1/3*r**4 - 1/3*r**3 + 1/3*r**5 + 1/3*r**2 + 0*r + 0.
r**2*(r - 1)**2*(r + 1)/3
Let o = -83007/65 + 1277. Let z = o - -136/195. Find s such that -1/3*s**3 + z + 0*s**2 + s = 0.
-1, 2
Let a(s) be the first derivative of s**6/165 - 3*s**5/55 + 2*s**4/11 - 8*s**3/33 + 6*s + 4. Let g(x) be the first derivative of a(x). Factor g(i).
2*i*(i - 2)**3/11
Let u(f) be the first derivative of 0*f - 3 + 0*f**3 + 0*f**2 + 3/4*f**4 + 3/5*f**5. Let u(i) = 0. What is i?
-1, 0
Suppose 0*z - z - 5*f - 7 = 0, -4*z + 4*f - 4 = 0. Let d be (z - -4) + (-25)/20. Factor -d*n**3 + 5/4*n**2 + 0 - 1/2*n.
-n*(n - 1)*(3*n - 2)/4
Let 0 - 2/3*z**2 + 0*z + 1/3*z**3 = 0. What is z?
0, 2
Solve 0 + 0*v + 3*v**2 - 3/2*v**5 - 3*v**4 + 3/2*v**3 = 0.
-2, -1, 0, 1
Let q(a) be the first derivative of -4 + 0*a - 2*a**3 + 0*a**2 + 3/4*a**4. Factor q(i).
3*i**2*(i - 2)
Let h(c) be the first derivative of 0*c**2 + 2/21*c**3 + 0*c + 5. Factor h(y).
2*y**2/7
Let d be 2687/20 + (-14)/(-56). Let t = 135 - d. Factor 2/5*h**5 + 0*h + t*h**4 - 2/5*h**3 + 0 - 2/5*h**2.
2*h**2*(h - 1)*(h + 1)**2/5
Let i(c) = -c**2 + 6*c - 5. Let u be i(4). Suppose 3*w + u = -3*m, -16 = m - w + 5*w. Factor -4*k**2 + 3*k**2 - k**m - 2*k**3 + 0*k**2.
-k**2*(k + 1)**2
Let d(k) be the third derivative of -1/42*k**8 + 0*k**3 + 0 - 4*k**2 + 1/30*k**5 - 1/30*k**6 - 1/15*k**7 + 0*k**4 + 0*k. Find r, given that d(r) = 0.
-1, 0, 1/4
Let y be (24/(-18))/((-3)/90). Factor 23*k + 26*k**2 + y*k**2 - 3*k - 16*k**2 + 2.
2*(5*k + 1)**2
Suppose 117*j = 107*j + 20. Factor 2/11*g**j + 0*g + 0.
2*g**2/11
Let p(w) be the third derivative of -1/525*w**7 + 1/1680*w**8 - 1/120*w**4 + 1/150*w**5 + 0*w**6 + 0 + 0*w**3 + 0*w - 5*w**2. Factor p(h).
h*(h - 1)**3*(h + 1)/5
Suppose -3*r + 6*r + 3*b + 3 = 0, b + 9 = r. Let -2*s + 4*s - 2*s**2 + 2*s**4 + 6*s**5 + r*s - 2*s - 10*s**3 = 0. What is s?
-1, 0, 2/3, 1
Let f be (2/3 + -1)*-1. Let n be (3/(-9))/((-2)/30). Determine l so that 0*l**2 + 0 + 1/3*l**3 + f*l**n + 0*l - 2/3*l**4 = 0.
0, 1
Let k(r) = -2*r**2 + 2*r - 2. Let y(m) = -m**4 + m**3 - 3*m**2 + 3*m - 3. Let b(d) = -3*k(d) + 2*y(d). Factor b(f).
-2*f**3*(f - 1)
Let h(r) be the third derivative of r**7/420 + r**6/240 - r**5/30 - r**4/12 + 15*r**2. Factor h(j).
j*(j - 2)*(j + 1)*(j + 2)/2
Let i(z) be the third derivative of z**2 + 1/45*z**6 + 1/18*z**4 + 0*z**3 + 1/18*z**5 + 1/315*z**7 + 0*z + 0. Solve i(p) = 0 for p.
-2, -1, 0
Let t = -4619/30 - -154. Let c(w) be the third derivative of -3*w**2 + 0*w + 0*w**3 - t*w**5 + 1/12*w**4 + 0. Factor c(x).
-2*x*(x - 1)
Let k(r) be the second derivative of 20/9*r**3 - 25/18*r**4 + r - 4/3*r**2 + 0. Factor k(y).
-2*(5*y - 2)**2/3
Let p be (-4)/120*29 - -1. Let a(f) be the second derivative of -p*f**4 + 0 + f + 1/5*f**2 + 0*f**3. Determine z, given that a(z) = 0.
-1, 1
Let i(h) be the second derivative of h**7/420 - h**6/150 - h**5/200 + h**4/60 - 11*h. Determine x, given that i(x) = 0.
-1, 0, 1, 2
Let v(f) be the third derivative of -27*f**7/35 - 36*f**6/5 - 144*f**5/5 - 64*f**4 - 256*f**3/3 + f**2. Factor v(w).
-2*(3*w + 4)**4
Let -8 - 6*s**2 + 5*s**3 + 9*s**2 + 0*s**4 + 7*s**2 - 4*s - s**5 - 2*s**4 = 0. Calculate s.
-2, -1, 1, 2
Let k(c) be the second derivative of c**8/2520 - c**6/180 - c**5/90 + c**3/6 - 2*c. Let u(i) be the second derivative of k(i). Find b such that u(b) = 0.
-1, 0, 2
Let z(r) = -r**3 - 2*r**2 + 5*r + 10. Let y be z(-3). Factor 0*l + 0 - 1/3*l**5 - 1/3*l**2 - l**3 - l**y.
-l**2*(l + 1)**3/3
Let o(y) be the second derivative of -3*y**5/40 - y**4/24 + y**3/4 + y**2/4 - 3*y. Determine m, given that o(m) = 0.
-1, -1/3, 1
Let s(l) be the second derivative of 3*l**6/100 - l**5/25 - l**4/15 + l**3/2 + 3*l. Let f(i) be the second derivative of s(i). Determine x so that f(x) = 0.
-2/9, 2/3
Let s be (2/(-8))/(6/160*-5). Suppose -1/3 - s*b - 1/3*b**4 - 4/3*b**3 - 2*b**2 = 0. What is b?
-1
Let u = 47178/3437 - 6/491. Factor -3/7*h**5 - u*h**3 - 144/7*h - 27/7*h**4 - 24*h**2 - 48/7.
-3*(h + 1)*(h + 2)**4/7
Let u(n) = n**2 - 3*n - 14. Let q be u(6). Factor -12*t + 12*t**4 - 6 - 4 + 8*t**3 + q*t**5 - 8*t**2 + 6.
4*(t - 1)*(t + 1)**4
Let j(t) be the third derivative of -3*t**5/32 + 13*t**4/64 + t**3/8 + 17*t**2. Factor j(o).
-3*(o - 1)*(15*o + 2)/8
Factor -11/5*a - 6/5*a**2 - 6/5 - 1/5*a**3.
-(a + 1)*(a + 2)*(a + 3)/5
Solve 2/3 - 4/3*v + 2/3*v**2 = 0.
1
Suppose 0 = -k + 2*u - 7, -k - 2*u = -0 - 13. Factor 4 - 6 