
-21*y**2
Let n(a) = -a**3 + 3*a**2 + 3. Let x be n(3). Find the third derivative of -f**2 + x + 5*f**2 - 3 - f**5 wrt f.
-60*f**2
Let h(c) = 5*c**5 + c**4 - c**3 - 7*c**2 - c + 1. Let b(d) = -d**4 + d**3 + d - 1. Let n(i) = b(i) + h(i). What is the third derivative of n(r) wrt r?
300*r**2
Let z be 0 + -1 + 15/3. Let p(m) = 2*m - 9. Let o be p(6). Find the second derivative of 4*d - 5*d**z - o*d + 3*d**4 wrt d.
-24*d**2
Let r(a) be the second derivative of a**2 + 0 + 0*a**3 + 7*a + 0*a**4 + 1/4*a**5. Differentiate r(o) wrt o.
15*o**2
What is the second derivative of -191*y**2 + 0*y + 197*y**2 - 6*y wrt y?
12
Let r(l) = -9*l**3 + 16*l - 3. Let u(t) = -t - 1. Let s(w) = r(w) - 3*u(w). What is the second derivative of s(o) wrt o?
-54*o
Let g(z) = z**2 - 5*z + 1. Let t be g(4). Let f(v) = -v**3 - 4*v**2 - 4*v. Let q be f(t). Find the third derivative of 0*d + 2*d**2 - q*d**4 + 0*d wrt d.
-72*d
Let v be (11 - -4)*2/6. Suppose h = -5*u - h + 15, -v*u + 40 = -3*h. Find the third derivative of -2*z**2 + 3*z**5 + 2*z**5 - 3*z**u wrt z.
120*z**2
Let t be (-2)/6 - (-140)/6. Find the third derivative of t - 23 + 2*d**4 + d**2 wrt d.
48*d
Let n(x) = -19*x**2 + 24*x. Let u(l) = -20*l**2 + 24*l. Let k(v) = 4*n(v) - 5*u(v). What is the second derivative of k(t) wrt t?
48
Let k(g) = -4*g**2 + 4*g + 22. Let c(z) = -z**3 - 11*z**2 + 11*z + 65. Let a(n) = 4*c(n) - 11*k(n). What is the first derivative of a(l) wrt l?
-12*l**2
Let j(l) = -l**3 - 2*l**2 + 4*l + 3. Let b be j(-3). Find the third derivative of -3*o**4 - 4*o**2 + b*o**4 + o**4 - o**4 wrt o.
-72*o
Suppose -5*h - 2 = -2*h - 4*l, 4*h = l + 6. Differentiate -20*j**3 + 4*j**2 + 24*j**3 + 1 - 4*j**h wrt j.
12*j**2
Suppose 0 = 3*v + 8 - 47. What is the second derivative of v + 3*i**2 - i - 13 - 3*i wrt i?
6
Let l(u) = u**3 + 2*u**2 + u + 1. Let j(c) = 47*c**3 - 25*c**2 + 2*c + 2. Let o(z) = j(z) - 2*l(z). Find the third derivative of o(w) wrt w.
270
What is the third derivative of 38*l**2 - 19*l**2 - 17*l**2 + 7*l**3 - 9*l wrt l?
42
Find the second derivative of -2*x**3 - x - 4*x**3 + 0*x**3 wrt x.
-36*x
Let u = 0 + 2. What is the third derivative of s**5 + s**u + 2*s**2 - 3*s**5 wrt s?
-120*s**2
Let x = -8 - -11. Find the third derivative of -5*w**x + 3*w**2 - 2*w**2 + 7*w**3 wrt w.
12
Let i(o) be the third derivative of 0*o**4 + 0 + 0*o**6 - 3*o**2 + 0*o**3 + 0*o - 1/70*o**7 + 1/12*o**5. What is the third derivative of i(y) wrt y?
-72*y
Let a(x) be the second derivative of 2/3*x**4 - 5/6*x**3 + 8*x + 0 + 0*x**2. Find the second derivative of a(q) wrt q.
16
Let q(f) be the third derivative of -f**7/42 + 13*f**4/24 + 10*f**2. Find the second derivative of q(g) wrt g.
-60*g**2
Let r be -1*(-1 + 3 - 0). Let k(u) = -9*u**2 + 6*u - 5. Let t(j) = -4*j**2 + 3*j - 2. Let a(m) = r*k(m) + 5*t(m). Find the second derivative of a(w) wrt w.
-4
Suppose 0*s - 5*s + 32 = 3*t, -4*s + 28 = 3*t. Find the second derivative of -5*c**t + 5*c**4 - 2*c**5 + 2*c wrt c.
-40*c**3
Let r be (-2 + 1)/(1/(-5)). Let t be (-105)/(-33) + (-10)/55. What is the second derivative of 4*n**t - 4*n**3 - n + n**3 + r*n wrt n?
6*n
Suppose 2*v + x = -2*x - 12, 5*x = 2*v - 20. Differentiate v*q**3 + 12*q**2 - 1 - 12*q**2 + q**3 wrt q.
3*q**2
Suppose -6*j + 9*j = 9. Let t(p) be the first derivative of 0*p**2 - 2/5*p**5 + 2 + p + 0*p**j + 0*p**4. Differentiate t(a) wrt a.
-8*a**3
Let k(h) be the second derivative of -49*h**5/20 + 5*h**4/12 + h**2/2 - 2*h + 5. Find the third derivative of k(p) wrt p.
-294
Suppose 8 = -5*z + 3*z. Let r = 6 + z. Find the first derivative of g + r + g - g wrt g.
1
Let v = -119 + 119. Let s(m) be the second derivative of v*m**2 - 2/15*m**6 - 1/12*m**4 - 4*m + 0*m**5 + 0*m**3 + 0. Find the third derivative of s(k) wrt k.
-96*k
Let d(l) = 20*l**3 + 30*l**2 + 6. Let p(t) = -19*t**3 - 31*t**2 - 5. Let y(s) = -5*d(s) - 6*p(s). Find the third derivative of y(o) wrt o.
84
Let g(i) be the third derivative of i**8/280 - i**6/60 - 5*i**3/6 - 8*i**2. Let v(y) be the first derivative of g(y). Find the third derivative of v(z) wrt z.
144*z
Let h(p) = 1. Let u(z) = -1. Let v(o) = o. Let f(j) = -3*u(j) - 2*v(j). Let t(x) = -f(x) + 2*h(x). Find the first derivative of t(d) wrt d.
2
Let f = 21 - 21. Let p(y) be the first derivative of f*y**4 + 0*y**2 + 0*y - 1/3*y**6 + 0*y**5 + 1 + 1/3*y**3. What is the third derivative of p(t) wrt t?
-120*t**2
Let p(u) be the first derivative of -2/3*u**3 - u**2 + 0*u - 2. What is the second derivative of p(l) wrt l?
-4
Let x(y) be the first derivative of -y**5/5 + y**3/3 + 6. What is the third derivative of x(z) wrt z?
-24*z
Let d(t) be the first derivative of 9*t**5/5 + t**3/3 - 7. Find the third derivative of d(x) wrt x.
216*x
Let l(p) be the first derivative of 0*p**3 - 2 + 0*p**2 - 1/4*p**4 + 2*p. What is the derivative of l(j) wrt j?
-3*j**2
Let v(y) = 15*y**3 - 4*y**2 + 4*y - 7. Let w(i) = -16*i**3 + 3*i**2 - 3*i + 6. Let q(l) = -3*v(l) - 4*w(l). What is the derivative of q(r) wrt r?
57*r**2
Suppose -2*z = 4*t - 86, 0 = -5*t - 5*z + 145 - 40. Let s(v) = 2*v + 1. Let i(q) = 7*q + 4. Let p(l) = t*s(l) - 6*i(l). Differentiate p(m) wrt m.
2
Suppose 4*s + 8 = 8*s. What is the third derivative of 4*j**4 + s*j**4 - 11*j**4 - 4*j**2 wrt j?
-120*j
Let o(s) = -13*s**5 - 6*s**3 - 8*s**2 - 6*s. Let t(v) = v**5 + v**3 + v**2 + v. Let c(l) = o(l) + 6*t(l). What is the third derivative of c(a) wrt a?
-420*a**2
Suppose 0 = -5*k - 0*k + 20. What is the first derivative of u**4 + 2*u**4 + 3 - 7 - 5*u**k wrt u?
-8*u**3
Let k(q) be the third derivative of 3*q**7/35 - 13*q**5/60 - 31*q**2. What is the third derivative of k(p) wrt p?
432*p
Let q = -7 + 12. Suppose 0 = -2*d + 3*d - 2*c + 7, -q*d - c = -20. Find the second derivative of 3 + d*g - 3 + 3*g**2 + 0*g wrt g.
6
Let c be 4/(-8)*-6 - 3. Find the third derivative of 4*t + 2*t**4 + c*t**4 - 2*t**2 - 4*t wrt t.
48*t
Let k(x) = 3*x**3 + 6*x**2 - 6*x + 14. Let g(w) = -5*w**3 - 13*w**2 + 13*w - 29. Let d(f) = -6*g(f) - 13*k(f). What is the first derivative of d(p) wrt p?
-27*p**2
Suppose -3*m = 2*m + 4*s - 9, 2*s - 5 = -3*m. Find the third derivative of 6*k**4 + k**2 - 1 - 7*k**4 + m wrt k.
-24*k
Let l(u) = -8*u**4 + 3*u**3 + 3. Let v(q) = -9*q**4 + 4*q**3 + 3. Let a(j) = -4*l(j) + 3*v(j). Differentiate a(n) wrt n.
20*n**3
Let q(c) = -5*c**4 + 4*c**3 + 4*c + 6. Let l(a) = 5*a**4 - 3*a**3 - 3*a - 6. Let g(s) = 4*l(s) + 3*q(s). Find the first derivative of g(p) wrt p.
20*p**3
Find the second derivative of -7*z**4 + 30*z - 311*z**3 + 311*z**3 wrt z.
-84*z**2
Let g(a) be the second derivative of a**5/5 - 5*a**3/2 + 11*a. What is the second derivative of g(m) wrt m?
24*m
Let g(a) be the second derivative of 5*a**7/21 - a**4 - 5*a. What is the third derivative of g(k) wrt k?
600*k**2
Let a be (-1 - 4)*(-4 + 3). Suppose -4*l + 3 = -a. Find the third derivative of 0*d**l - d**2 - 4*d**6 + 3*d**6 wrt d.
-120*d**3
Let u(k) = -22*k**2 + 23*k. Let p(l) = 45*l**2 - 46*l. Let a(z) = -3*p(z) - 5*u(z). Find the second derivative of a(q) wrt q.
-50
Let o(y) be the third derivative of 29*y**7/210 - 2*y**4/3 + 19*y**2. What is the second derivative of o(a) wrt a?
348*a**2
Suppose -2*r - 5*s = 2, 4*s + 28 = 5*r - 0. Find the second derivative of 9*a - a**4 + 7*a**4 + a**4 + a**r wrt a.
96*a**2
Let w(i) be the first derivative of -6*i**7/7 + 3*i**3 - 7. Find the third derivative of w(c) wrt c.
-720*c**3
Let s be 36/60 - (-24)/10. Let d(y) be the first derivative of -3/2*y**2 + s*y - 3. What is the first derivative of d(z) wrt z?
-3
Let m(v) = 6*v**4 - 2*v**3 - 8*v. Let l(n) = -29*n**4 + 11*n**3 + 41*n. Let s(i) = -2*l(i) - 11*m(i). Find the second derivative of s(j) wrt j.
-96*j**2
Let x(p) be the first derivative of -p**4 + 3*p + 12. Differentiate x(q) with respect to q.
-12*q**2
Let m(t) be the first derivative of 7*t**5 + 17*t**2 + 14. What is the second derivative of m(c) wrt c?
420*c**2
Let h(r) = -11*r**4 + 4*r**3 + 20. Let b(p) = 21*p**4 - 8*p**3 - 40. Let k(v) = -4*b(v) - 7*h(v). What is the first derivative of k(o) wrt o?
-28*o**3 + 12*o**2
Let s be (-1 + -2)/(6/(-4)). What is the third derivative of 6 - s*a**3 - a**3 - 6 + 4*a**2 wrt a?
-18
Let g(h) be the first derivative of 5*h**7/7 + 10*h**3/3 + 2. Find the third derivative of g(j) wrt j.
600*j**3
Let p(t) be the first deri