 Differentiate p(f) wrt f.
8*f**3
Let g(h) be the second derivative of 21*h**5/20 - 19*h**3/6 + 10*h. Find the second derivative of g(j) wrt j.
126*j
Suppose -2*j + 4*c + 6 = 0, -1 = c - 2*c. Find the second derivative of z**j - z**4 + 2*z + z**4 + z wrt z.
20*z**3
Let i(m) be the third derivative of -m**9/168 + 3*m**5/20 - 7*m**2. Find the third derivative of i(z) wrt z.
-360*z**3
Let b(s) be the first derivative of -s**6/2 - 5*s**2/2 - 5. Find the second derivative of b(w) wrt w.
-60*w**3
Let p(j) = -j**3 - 5*j**2 - 8*j - 5. Let b(x) = -2*x**3 - 4*x**2 - 7*x - 4. Let u(a) = -5*b(a) + 4*p(a). What is the second derivative of u(n) wrt n?
36*n
Let h(w) be the third derivative of 0*w + 4*w**2 + 0 - 1/30*w**6 + 1/6*w**4 + 0*w**3 + 0*w**5. What is the second derivative of h(z) wrt z?
-24*z
Suppose q - 16 = -3*q. What is the third derivative of -2*h**5 - q*h**2 + 3*h**5 + h**2 + h**5 wrt h?
120*h**2
What is the first derivative of -2*c + 2*c + 7 + 4*c**2 - 2*c**2 wrt c?
4*c
Suppose 0*b - c = -b + 7, -5*b + 15 = -c. Let f(x) be the first derivative of 2*x - 3 + b*x**3 + x**3 - 4*x**3 - 1. What is the derivative of f(j) wrt j?
-6*j
Let y(s) = 2*s**3 + 15*s**2 + 32. Let f(g) = -g**3 - 15*g**2 - 32. Let c(o) = 4*f(o) + 3*y(o). What is the derivative of c(x) wrt x?
6*x**2 - 30*x
Let g(s) be the first derivative of 0*s**4 + 0*s - 2 + 2/5*s**5 + 0*s**3 + 2*s**2. Find the second derivative of g(k) wrt k.
24*k**2
Let v(p) = p**3 - p**2 + p**2 - 2*p**3 + 3*p - p**2 + 2. Let k be v(-2). Find the first derivative of 2*u**3 + k*u**3 + 0*u**3 + 1 wrt u.
6*u**2
Let w(x) = 4*x**5 + 6*x**3 - 6*x**2 + 23*x. Let c(l) = 3*l**5 + 5*l**3 - 5*l**2 + 23*l. Let d(r) = 6*c(r) - 5*w(r). Find the second derivative of d(s) wrt s.
-40*s**3
Let h = -16 - -20. Let t(i) be the second derivative of -2*i + 0 + 0*i**2 - 1/20*i**5 + 0*i**h + 1/6*i**3. What is the second derivative of t(k) wrt k?
-6*k
Let h(w) be the third derivative of w**8/168 + 7*w**6/40 + w**5/10 + w**4/24 + 13*w**2. What is the third derivative of h(p) wrt p?
120*p**2 + 126
Let s(p) = p**2 + 3*p + 3. Let q be s(-3). What is the second derivative of -q*y**4 + 2*y + 2*y**4 - 2*y + y wrt y?
-12*y**2
Let s(u) be the third derivative of -1/20*u**5 + 0 - u**2 + 0*u + 1/6*u**3 + 0*u**4. Differentiate s(x) wrt x.
-6*x
Let i(m) be the first derivative of -m**7/210 + m**5/60 - 4*m**3/3 + 4. Let h(j) be the third derivative of i(j). Find the second derivative of h(t) wrt t.
-24*t
Let u(a) = -9*a**2 + 7*a - 5. Suppose 3*w - 1 = -7. Let c(n) = -4*n**2 + 3*n - 2. Let q(x) = w*u(x) + 5*c(x). Find the second derivative of q(o) wrt o.
-4
Find the second derivative of 2*s**3 + 84*s**4 - 28*s - 14*s - 106*s**4 wrt s.
-264*s**2 + 12*s
Let z(o) be the first derivative of 4 + 1/3*o**3 + o + 0*o**2. What is the first derivative of z(y) wrt y?
2*y
Suppose 4*t - 45 = -13. What is the third derivative of -3*x**5 - 3*x + t*x - 3*x**2 - 5*x wrt x?
-180*x**2
Let g(y) = -y**2 + 8*y - 3. Let d be g(7). Suppose -d = -4*n + 4. What is the third derivative of -n*x**2 - 5*x**3 + 5*x**3 - 2*x**5 wrt x?
-120*x**2
Let d(l) be the second derivative of 7*l**4/12 + 2*l**2 + 13*l. Differentiate d(c) with respect to c.
14*c
Let c(a) be the first derivative of 1/6*a**3 - 2*a + 1/2*a**2 + 1. Let k(i) be the first derivative of c(i). What is the derivative of k(v) wrt v?
1
What is the first derivative of -19*h - 15*h - 14*h + 54*h - 15 wrt h?
6
Let n(p) be the second derivative of 0 + 0*p**3 + 0*p**4 - 1/2*p**2 + 3*p + 3/20*p**5. What is the first derivative of n(h) wrt h?
9*h**2
Let v(b) be the first derivative of 4/5*b**5 - 3 + 0*b**4 + 0*b**2 - 2/3*b**3 + 0*b. What is the third derivative of v(f) wrt f?
96*f
Let x(a) = -2*a**3 + a**2 + 4*a + 4. Let r = 33 + -29. Let n(h) = -h**2 + h + 1. Let j(f) = r*n(f) - x(f). Find the third derivative of j(o) wrt o.
12
Let r(v) be the second derivative of v**8/560 + v**6/90 + 2*v**3/3 + 4*v. Let b(u) be the second derivative of r(u). Find the third derivative of b(c) wrt c.
72*c
Let z(h) = -3*h**2. Let w(s) = -s**4 - 4*s**2 + 1. Let v = -3 - -6. Let y(r) = v*w(r) - 4*z(r). Differentiate y(m) with respect to m.
-12*m**3
Let m(t) = -15*t**2 - 17. Let p(y) = -y**2. Let v(o) = m(o) - 4*p(o). What is the first derivative of v(h) wrt h?
-22*h
Let d(y) = 4*y**4 - 3*y**4 - 11*y**4 - 5*y**2 + 3*y - 5*y. Let x(o) = -o**4 - o**2 - o. Let q(j) = -d(j) + 2*x(j). What is the third derivative of q(s) wrt s?
192*s
Find the second derivative of 7*z**4 - 10*z + z**2 + 4*z - z**2 wrt z.
84*z**2
Let x(r) = 29*r**4 + 3*r**3 - 10*r. Let g(q) = 28*q**4 + 2*q**3 - 11*q. Let j(y) = 3*g(y) - 2*x(y). What is the second derivative of j(u) wrt u?
312*u**2
Let o(f) be the first derivative of -5 + 0*f + 0*f**2 + 7/3*f**3 - f**4. Find the third derivative of o(w) wrt w.
-24
Let i(u) be the third derivative of 5*u**8/112 + 5*u**4/12 + 12*u**2. Find the second derivative of i(c) wrt c.
300*c**3
Let m(s) = -s**3 + 5*s**2 + s - 3. Let k be m(5). What is the third derivative of 2*i**k - i**4 - 7*i**5 - 5*i**2 + i**4 wrt i?
-420*i**2
Let g(z) be the first derivative of -z**8/336 + z**4/8 + 7*z**3/3 - 5. Let y(s) be the third derivative of g(s). What is the derivative of y(n) wrt n?
-20*n**3
Let z = 4 + 2. Suppose z = 4*n - 2. Differentiate -4*j + 4*j - n*j - 1 wrt j.
-2
Let o(j) be the first derivative of -31*j**4/4 + 29*j**2/2 - 29. Find the second derivative of o(g) wrt g.
-186*g
Let o(v) = -12*v + 2. Let w(d) = -23*d + 3. Suppose -3*s - 17 - 4 = 3*j, 5*s + 67 = 3*j. Let p(t) = s*o(t) + 6*w(t). What is the first derivative of p(m) wrt m?
-6
Let d(f) be the third derivative of 31*f**7/210 - 11*f**5/30 - 16*f**2. What is the third derivative of d(z) wrt z?
744*z
Suppose 0 = w - 3 - 2. Suppose -s = -6*u + 3*u - 8, -4 = 3*s + w*u. What is the first derivative of v**4 + s*v**4 + 1 - 2*v**4 wrt v?
4*v**3
Let p(m) = 9*m**3 - 3*m**2 + 5. Let n(w) = -4*w**3 + 2*w**2 - 3. Let x(l) = -5*n(l) - 3*p(l). Find the third derivative of x(c) wrt c.
-42
Let r be 15/(-20) + (-23)/(-4). Find the second derivative of 4*k**2 - r*k**2 - 7*k - k**2 - 3*k**2 wrt k.
-10
Let l(x) = 17*x**3 - 52. Let i(f) = -6*f**3 + 17. Let p(q) = 11*i(q) + 4*l(q). Find the first derivative of p(m) wrt m.
6*m**2
Differentiate -8 - 4 + 3 + 11*d**2 with respect to d.
22*d
Suppose 2*v - 4*k = 2, 3*v + v - 28 = -4*k. Let u = -3 + v. What is the third derivative of y**2 + 2*y**4 + 4*y**2 - 3*y**u wrt y?
48*y
Let s(r) = 2*r - 2. Let m be s(2). Let g(z) be the first derivative of -1/2*z**4 + 0*z**2 - 1/3*z**3 - m + 0*z. What is the third derivative of g(j) wrt j?
-12
Differentiate -5*m**3 - 2*m**3 + m**3 - 2 wrt m.
-18*m**2
Let r(d) be the second derivative of d**8/840 + d**4/6 - d**3/3 + 3*d. Let q(n) be the second derivative of r(n). Find the first derivative of q(f) wrt f.
8*f**3
Let n = -6 + 10. Suppose 4*m = -5*b, 0 = -2*m + n*m. Find the second derivative of -2*k**3 + b*k + k + 3*k**3 wrt k.
6*k
Let f(h) be the second derivative of -h**6/120 - h**4/8 - h**2 - h. Let u(w) be the first derivative of f(w). Find the second derivative of u(l) wrt l.
-6*l
Let q(p) be the second derivative of 6*p**5/5 - 3*p**4/4 - 18*p. Find the third derivative of q(h) wrt h.
144
What is the first derivative of -15*y**4 + 28*y**2 - 28*y**2 - 18 wrt y?
-60*y**3
Suppose -4*c - 9 = -33. Find the third derivative of -23*m**3 + 5*m**2 + 23*m**3 + c*m**4 wrt m.
144*m
Suppose -5*d - 22 - 8 = 0. Let s be (2/d)/((-2)/12). Find the third derivative of -2*i**5 - s*i**2 - 2*i**3 + 2*i**3 wrt i.
-120*i**2
What is the third derivative of 0*c**4 - 2*c**4 - 70*c**2 + 2980*c**5 - 2973*c**5 wrt c?
420*c**2 - 48*c
Let d be (4/10)/((-5)/(-25)). What is the first derivative of 7 - 10*x**d + 16*x**2 - 1 wrt x?
12*x
Let l(b) = -3*b**5 - 6*b + 2. Let k(j) = 0*j**5 + 2*j**5 + 2*j**5 - 5 + 3*j**5 + 13*j. Let p(y) = -2*k(y) - 5*l(y). Find the second derivative of p(d) wrt d.
20*d**3
Let o(n) be the third derivative of n**3 + 8*n**2 + 0*n**4 + 0*n + 2/15*n**5 + 0. Differentiate o(p) with respect to p.
16*p
Find the second derivative of -m**2 + 3*m**2 - 40*m - 5*m**2 - 6*m**2 wrt m.
-18
Let z = 6 + -1. Find the second derivative of 7 + c - z - 2 + 5*c**3 wrt c.
30*c
Let s(v) = -12*v + 13. Let r(o) = -36*o + 39. Let a(d) = -6*r(d) + 17*s(d). Diff