first derivative of o(a) wrt a.
1
Let y(j) be the first derivative of -j**8/48 - 2*j**5/15 + j**2 - 11. Let a(i) be the second derivative of y(i). What is the third derivative of a(f) wrt f?
-420*f**2
Differentiate 313*w - 313*w + 20 - 10*w**3 with respect to w.
-30*w**2
Let g(b) = -b**3 + b**2 + 2*b + b - b + 4 - b. Let y be g(0). What is the third derivative of -4*a**4 + 3*a**2 + y*a**2 - 10*a**2 wrt a?
-96*a
Suppose 5*j - 5*g + 5 - 25 = 0, -5*j + 2*g + 14 = 0. What is the third derivative of 0*r**2 - r**2 + 2*r**j - r**3 wrt r?
-6
Let m(f) = f**2 + 2*f + 1. Let r(i) = 7*i**2 + 13*i + 6. Let u(z) = -39*m(z) + 6*r(z). What is the first derivative of u(s) wrt s?
6*s
Let q(i) be the third derivative of -i**7/70 - 11*i**5/60 + 22*i**2. What is the third derivative of q(k) wrt k?
-72*k
Let p(f) = 4*f + 0*f**4 - 2 - f + 3*f**4. Let g(j) = -13*j**4 - 12*j + 9. Let t(q) = -2*g(q) - 9*p(q). Find the second derivative of t(i) wrt i.
-12*i**2
Let x be (5 - 3 - 1)*5. Suppose -j = 2 - x. What is the third derivative of -2 + 2 - t**2 + 4*t**j wrt t?
24
Let v(x) = -30*x**5 - 5*x**2 + 6*x. Let q(l) = -61*l**5 - 9*l**2 + 11*l. Let n(m) = -6*q(m) + 11*v(m). Find the third derivative of n(b) wrt b.
2160*b**2
Suppose 2*a = 5*a - 6. What is the derivative of -7*s**2 - a*s**3 + 3*s**2 - 1 + 4*s**2 wrt s?
-6*s**2
Let z(a) = -a**3 - 7*a**2 - 8*a - 2. Let s be z(-6). Differentiate s*p**2 - 10*p**2 - 3 + 2*p**3 with respect to p.
6*p**2
Let s = -4 - -6. Let w(x) be the first derivative of 0*x**s - 2 - x + x**2 - 2*x**2. Find the first derivative of w(c) wrt c.
-2
Let h(p) = 2*p**4 - 6*p**2 - 8*p + 6. Let t(l) = l**2 + l - 1. Let z(d) = 2*h(d) + 12*t(d). What is the second derivative of z(g) wrt g?
48*g**2
Let d = -4 - -8. Suppose 4*j - b - 1 + 0 = 0, -d*b = -4*j + 4. Find the third derivative of j*w**4 - w**4 - 2*w**2 + 3*w**2 wrt w.
-24*w
Suppose -4*d - 3 = -5*h - 5, 0 = -2*h - d + 7. What is the third derivative of i**2 - 4*i**2 + 3*i**5 + 4*i**h wrt i?
180*i**2
Find the third derivative of 7*r**4 - 4*r**2 - 2*r**4 - 2*r**2 - r**4 wrt r.
96*r
Let v(h) = h**3 + h**2 + h + 1. Let z(n) = -2*n**6 + n**3 - 2*n**2 + n + 1. Let k(f) = 5*v(f) - 5*z(f). Find the third derivative of k(m) wrt m.
1200*m**3
Suppose -6*n + 18 = -0*n. Let m(p) be the first derivative of 0*p**2 - 1/3*p**n + 4*p + 2. Find the first derivative of m(k) wrt k.
-2*k
Suppose -4*h = 2*h. Let l(f) be the second derivative of 0 + 1/6*f**4 + h*f**2 + f - 1/6*f**3. Find the second derivative of l(x) wrt x.
4
Let z = 8 + -4. Suppose 7 = z*g - 1. What is the third derivative of -k**2 + 3*k**2 + 0*k**3 + g*k**3 wrt k?
12
Suppose -112 = 5*f + 4*d, 0 = -2*f - 5*d + 32 - 87. Let y be 4/(-6) + f/(-3). What is the third derivative of -2*m**6 + m**y - m**2 + 3*m**2 wrt m?
-120*m**3
Let g be (0 - 4/(-4)) + 1. What is the third derivative of 6*t**3 + 2 - 5*t**2 - g - t**3 wrt t?
30
Let c(w) be the third derivative of -w**9/504 - w**6/10 + 2*w**5/3 + 42*w**2 - w. Find the third derivative of c(m) wrt m.
-120*m**3 - 72
Let c(m) be the third derivative of -2*m**5/15 + 2*m**3 + 2*m**2. Find the first derivative of c(g) wrt g.
-16*g
Let l(u) be the first derivative of 0*u + 4/3*u**3 - 3/2*u**2 + 3. Find the second derivative of l(p) wrt p.
8
Find the third derivative of 24*x**3 + 2*x**3 + 648*x**2 - 640*x**2 wrt x.
156
Let p(c) be the first derivative of -1/4*c**4 + 1/3*c**3 - 3 + 0*c**2 + 0*c. What is the third derivative of p(q) wrt q?
-6
Let l(n) = n**3 - 4*n**2 + n + 3. Let c be l(4). Find the third derivative of c*z**6 + 2*z**2 - 5*z**2 - z**6 wrt z.
720*z**3
Let l(q) = -4*q**3 + 5*q**2 - 12*q - 58. Let s(r) = -6*r**3 + 7*r**2 - 17*r - 87. Let c(h) = -7*l(h) + 5*s(h). What is the derivative of c(z) wrt z?
-6*z**2 - 1
Let o be 8 + 3 + -2 + 1. Find the third derivative of -o*t**5 + t**2 + 15*t**5 + 0*t**2 wrt t.
300*t**2
Let l = 15 - 4. Let b = -7 + l. What is the third derivative of -r**b + 0*r**3 + 0*r**3 - r**2 wrt r?
-24*r
Let b(t) = -15*t**3 + 4*t**2 + 4*t + 2. Let r(o) = -15*o**3 + 3*o**2 + 3*o + 1. Let k(q) = 3*b(q) - 4*r(q). What is the derivative of k(x) wrt x?
45*x**2
Let l be ((-2)/(-3))/((16/(-9))/(-2)). Let c(b) be the first derivative of 0*b**2 + 2 - l*b**4 + 0*b + b**3. What is the third derivative of c(z) wrt z?
-18
Let c(t) = 131*t**5 + 11*t**3 - 6*t**2. Let l(p) = -26*p**5 - 2*p**3 + p**2. Let d(s) = 2*c(s) + 11*l(s). What is the third derivative of d(f) wrt f?
-1440*f**2
Let f(y) be the second derivative of y**6/10 + y**2/2 - 4*y. What is the first derivative of f(p) wrt p?
12*p**3
Let l(s) be the third derivative of -s**5/40 + s**4/12 - s**3/6 + s**2. Let c(i) be the first derivative of l(i). What is the first derivative of c(v) wrt v?
-3
Find the third derivative of 3*l**2 - 4*l**5 + 0*l**2 + 9*l**2 - l**2 wrt l.
-240*l**2
Let l(v) = -4*v**3 - 2. Let h be 1/(-1 + 2)*-5. Let g(x) = -9*x**3 + x - 5. Let q(z) = h*l(z) + 2*g(z). What is the second derivative of q(b) wrt b?
12*b
Suppose -3*r - 4*t + 1 - 11 = 0, -r = 2*t + 6. Let g = r + 0. Find the second derivative of 3*z - 4*z - 4*z**2 + 0*z**g wrt z.
-8
Let v(a) be the first derivative of -7*a**6 + 19*a**3/3 - 17. What is the third derivative of v(c) wrt c?
-2520*c**2
Let l(c) = 5*c**3 - 30*c**2 + 8*c + 8. Let f(b) = 2*b**3 - 10*b**2 + 3*b + 3. Let r(v) = -8*f(v) + 3*l(v). What is the third derivative of r(k) wrt k?
-6
Let y(o) = 7*o**4 - 4*o**2 - 4*o + 23. Let u(k) = -7*k**4 + 5*k**2 + 5*k - 23. Let m(w) = -4*u(w) - 5*y(w). What is the first derivative of m(r) wrt r?
-28*r**3
Let u(o) be the second derivative of -o**5/5 + o**2 + 7*o. Differentiate u(z) with respect to z.
-12*z**2
Find the third derivative of 21*i**3 - 3*i**2 + 3*i**6 - 21*i**3 wrt i.
360*i**3
Let t be (-48)/(-14) - 6/14. Differentiate t - 4 + 3*d**2 - d**2 wrt d.
4*d
Suppose -8 = -3*v + i, 3*v - 16 = 4*i - 2. What is the third derivative of -3 + 3*q**v + 5 - 2*q**3 - 2 wrt q?
-12
Suppose -2*a - 3*a + 30 = 0. Suppose 3*x + 3 = a*x - 3*u, 2*x - 3*u + 2 = 0. Find the second derivative of -s**3 - 7*s + x*s + 3*s**3 wrt s.
12*s
Let j be (4/8)/((-9)/(-6)). Let p(u) be the second derivative of 0*u**2 + j*u**3 - 1/4*u**4 + 0 - u. What is the second derivative of p(o) wrt o?
-6
Suppose 2*x = -2*n + 7 + 1, 6 = 2*x + n. Let u(d) be the first derivative of -1/2*d**4 + 0*d**3 + 0*d**2 - x*d - 2. What is the derivative of u(j) wrt j?
-6*j**2
Suppose -25 = -6*h + h. Find the second derivative of 5*k**5 + 0*k**4 + 0*k**4 + 5*k + 0*k**h wrt k.
100*k**3
Let h(o) = 11*o**3 + 6*o**2 + 22*o. Let q(s) = 10*s**3 + 5*s**2 + 23*s. Let n(i) = -5*h(i) + 6*q(i). Find the second derivative of n(f) wrt f.
30*f
Let w = -14 - -19. What is the third derivative of -w*r**2 - 4*r + 4*r + 5*r**3 wrt r?
30
Let n(t) be the third derivative of -t**8/112 - t**4/6 + 2*t**2. Find the second derivative of n(h) wrt h.
-60*h**3
Let d(y) be the second derivative of 1/6*y**3 + y**2 + 0 + 2*y. Differentiate d(j) with respect to j.
1
Let y(t) = 5*t**4 - 2*t**3 + 4*t**2 - 7*t - 3. Let w(c) = -c**3 - c**2 - c - 1. Let d(p) = 2*w(p) - y(p). Find the second derivative of d(f) wrt f.
-60*f**2 - 12
What is the third derivative of -133*t - 37*t**5 - 24*t**2 + 133*t + 3*t**2 wrt t?
-2220*t**2
Suppose d - 3 = -0. Suppose 13 - d = 5*c. Find the second derivative of 4*g**4 + c*g + g**2 - 3*g**4 - g**2 wrt g.
12*g**2
Let a(y) be the third derivative of -y**7/30 - y**3 - 11*y**2. Differentiate a(d) with respect to d.
-28*d**3
Let g(r) be the third derivative of 1/60*r**5 + 0 - 1/112*r**8 + 0*r**3 + 0*r**7 + 0*r**6 - 2*r**2 + 0*r + 0*r**4. What is the third derivative of g(j) wrt j?
-180*j**2
Suppose -2*f + 0*f = -2. Find the first derivative of n**3 + 6 - f - 3 - 3 wrt n.
3*n**2
What is the third derivative of -6 + 6*r**5 + 6 + 0 - 23*r**2 wrt r?
360*r**2
What is the third derivative of 10 + 8*n**2 + 13*n**3 - 10 wrt n?
78
What is the third derivative of -25*d**6 - 5*d**2 + d**6 - 8*d**6 wrt d?
-3840*d**3
Let t(y) be the first derivative of 5*y**4/24 + y**3/3 + y**2 - 6. Let j(n) be the second derivative of t(n). What is the first derivative of j(o) wrt o?
5
Differentiate -r - 11*r**3 - 3 + 10 + r with respect to r.
-33*r**2
Let d(y) = 42*y**2 + 36. Let j(a) = 14*a**2 + 12. Let z(n) = -5*d(n) + 14*j(n). Differentiate z(k) wrt k.
-28*k
Find t