-f(i) - 9*m(i). Differentiate w(s) with respect to s.
-72*s**3
Let y(b) be the third derivative of b**7/504 + b**6/180 - b**4/12 + 9*b**2. Let i(p) be the second derivative of y(p). Find the second derivative of i(f) wrt f.
10
Let c(r) = r**2 - 6*r - 5. Let h be c(7). What is the third derivative of -17*s**5 + 17*s**5 - 3*s**6 + s**h wrt s?
-360*s**3
Let c(x) be the second derivative of -x**8/1680 + x**6/360 - x**4/4 + 2*x. Let b(m) be the third derivative of c(m). Find the second derivative of b(i) wrt i.
-24*i
Suppose 4*r = -r + 15. Find the first derivative of r*q + q + 1 - q wrt q.
3
Find the third derivative of n**6 - 2*n**6 - n**2 + 3*n**2 wrt n.
-120*n**3
Let d(h) = -h**2 + 3*h + 3. Let b be d(3). Suppose o = 2*r - 7, r + b = -4*o + 4*r. Find the second derivative of o*z + 3*z**2 - 2*z - 4*z**2 wrt z.
-2
Let c(p) = 25*p**2 - 3*p + 38. Let d(s) = 75*s**2 - 10*s + 115. Let h(i) = -10*c(i) + 3*d(i). What is the first derivative of h(g) wrt g?
-50*g
Suppose -i = -2*j - 4, 5*i + 3 = 5*j + 13. What is the second derivative of -r + 3*r**4 - 2*r**4 + i*r wrt r?
12*r**2
Let w(v) be the second derivative of 0 - 2*v**2 - 4*v + 1/6*v**3. Differentiate w(k) with respect to k.
1
Find the second derivative of 4*q**5 + 135 - 135 + 7*q wrt q.
80*q**3
Let m = -3 - -7. Find the second derivative of 11*r**4 + r + 1 - 12*r**m - 1 wrt r.
-12*r**2
Find the second derivative of 20*y**5 + y**4 + 70*y - 90*y - y**4 wrt y.
400*y**3
Let c(b) = -3*b**3 + 2*b**2 - b + 20. Let h(q) = -14*q**3 + 11*q**2 - 6*q + 101. Let p(x) = -11*c(x) + 2*h(x). What is the second derivative of p(s) wrt s?
30*s
Find the second derivative of 11*i**2 - 3*i**2 - 2*i - i + 5*i wrt i.
16
Let l(f) be the third derivative of 11*f**8/336 - 7*f**4/6 + 53*f**2. Find the second derivative of l(k) wrt k.
220*k**3
Suppose -5*x = -4*x. What is the third derivative of -2*d**4 + x*d**4 + 4*d**4 - 3*d**2 wrt d?
48*d
Suppose -3*a + 7*a = 3*o - 18, 3 = -a. Suppose -o*m = m + 5*h - 26, 5*h - 16 = 2*m. Find the third derivative of -k**6 + 2*k**m - 3*k**2 + 2*k**6 wrt k.
120*k**3
Let t(i) = -18*i**2 + 129*i + 7. Let z(r) = 8*r**2 - 64*r - 4. Let q(v) = 4*t(v) + 7*z(v). What is the second derivative of q(a) wrt a?
-32
Suppose -3*f + 25 + 5 = -3*p, -p = -2*f + 23. Let z(j) = -j - 4. Let g(u) = -u - 9. Let t(a) = f*z(a) - 6*g(a). What is the derivative of t(d) wrt d?
-7
Let s = -31 + 33. Let h(d) be the second derivative of 2*d + 1/4*d**4 + 0 + 3/2*d**s + 0*d**3. Differentiate h(a) wrt a.
6*a
Find the second derivative of -66*r - 2 - 10*r**2 + 54*r + 2 wrt r.
-20
Let u(c) be the third derivative of -c**8/112 - c**7/210 + c**4/2 - c**3/3 + 33*c**2. Find the second derivative of u(y) wrt y.
-60*y**3 - 12*y**2
Let t(o) be the second derivative of o**4/6 + 3*o**2 + o. Find the first derivative of t(a) wrt a.
4*a
Let z(a) be the third derivative of 1/12*a**5 + 0*a**3 + 2/105*a**7 + 0*a + 0*a**4 + 0*a**6 + 5*a**2 + 0. What is the third derivative of z(i) wrt i?
96*i
What is the third derivative of -h**2 + h**6 - 2*h**6 + 41*h**2 wrt h?
-120*h**3
Let p = 6 - 3. What is the second derivative of 0*v + 4*v**4 + p*v + 0*v wrt v?
48*v**2
Let i(n) = -n**3 - n**2 + n + 2. Let c be i(0). Let y(p) be the first derivative of 2 - 1/2*p**2 + c*p. Differentiate y(f) wrt f.
-1
Let t(g) = -5*g - 9. Let w(o) = -1. Let c(b) = t(b) - 3*w(b). What is the first derivative of c(n) wrt n?
-5
Suppose -2*k - 2*k + 8 = 0. Let b = k + 1. Find the third derivative of 4*w**2 - 3 + 0*w**3 + 3 + 2*w**b wrt w.
12
Let a = 3 - 0. Let u = 5 - 3. Find the second derivative of -l**2 + 2*l - a*l**u + l**2 wrt l.
-6
Let z(p) be the second derivative of p**7/21 - 11*p**3/3 - 19*p. What is the second derivative of z(h) wrt h?
40*h**3
Let l(u) = u**4 + 6*u**3 + u**2 - 6*u. Let f(x) = -4*x**4 - 17*x**3 - 2*x**2 + 17*x. Let i(b) = -6*f(b) - 17*l(b). What is the third derivative of i(m) wrt m?
168*m
Let w(y) = y**2 + 1. Let o(g) = -5*g**3 - 7*g**2 - 8. Let t(b) = -4*o(b) - 28*w(b). What is the derivative of t(i) wrt i?
60*i**2
Find the third derivative of -16 + 16 - 5*p**3 + p**2 wrt p.
-30
What is the second derivative of -5*b - 6*b**5 - 6*b + 3*b**5 wrt b?
-60*b**3
Let q(j) = -27*j**5 - 9*j**4 + 7*j**2. Let m(h) = -7*h**5 - 2*h**4 + 2*h**2. Let z(s) = -9*m(s) + 2*q(s). What is the third derivative of z(v) wrt v?
540*v**2
Let h(j) be the second derivative of j**8/2240 - j**6/180 + j**4/6 + 2*j. Let a(k) be the third derivative of h(k). What is the second derivative of a(z) wrt z?
18*z
Let h(r) be the second derivative of -r + 0 + 1/2*r**3 + 1/3*r**4 + 0*r**2. Find the second derivative of h(x) wrt x.
8
Let v(n) = -4*n**3 - 7*n**2 - 17*n - 7. Let m(h) = -2*h**3 - 4*h**2 - 9*h - 4. Let x(c) = -7*m(c) + 4*v(c). What is the second derivative of x(r) wrt r?
-12*r
Suppose 4*q + 22 = s, 5*s - 3*q - 12 - 13 = 0. What is the second derivative of -7*k**2 + 13*k**2 - 3*k**s - 3*k wrt k?
6
Let t(o) = -o**2 - 1 + 5 + 0*o + 6*o + 2. Let y be t(6). What is the third derivative of 4*q**y + 2*q**2 - q**2 - 3*q**2 wrt q?
480*q**3
What is the derivative of 13 - 14 + 18*y**2 - 19*y**2 wrt y?
-2*y
Let j(a) be the second derivative of 0 + 3/56*a**8 - 1/4*a**4 + 0*a**2 + 0*a**6 + 0*a**5 - 3*a + 0*a**3 + 0*a**7. Find the third derivative of j(z) wrt z.
360*z**3
Let r(b) be the second derivative of -19*b**5/20 + 17*b**3/6 + 7*b. Find the second derivative of r(z) wrt z.
-114*z
Let j(g) = g - 1. Let w be j(4). Find the third derivative of -12*a**3 + 5*a**2 - 8*a**w + 17*a**3 wrt a.
-18
Let p(j) be the first derivative of -4*j**5/5 - 2*j**3 + 12. Find the third derivative of p(b) wrt b.
-96*b
Let u(z) = 32*z**3 - 6*z**2 - 14*z + 6. Let t(i) = -190*i**3 + 35*i**2 + 85*i - 35. Let c(s) = 6*t(s) + 35*u(s). Find the second derivative of c(y) wrt y.
-120*y
What is the derivative of 9 + 14*q + 12*q**2 + 18*q - 32*q wrt q?
24*q
Let p(h) be the third derivative of 0 - 5/6*h**3 + 0*h**5 + 0*h + 0*h**6 + 2/105*h**7 + 0*h**4 - 5*h**2. What is the derivative of p(c) wrt c?
16*c**3
Let u(w) be the first derivative of -2*w**6/15 + w**4/4 + 2*w - 4. Let f(p) be the first derivative of u(p). What is the third derivative of f(r) wrt r?
-96*r
What is the third derivative of 33*t**3 + 7*t**3 - 47*t**2 + 50*t**2 wrt t?
240
Let c(m) be the third derivative of m**6/24 - 3*m**3/2 - 9*m**2. Differentiate c(h) with respect to h.
15*h**2
Let k(n) be the second derivative of 0*n**5 + 0*n**2 + 0 - 6*n - 1/3*n**3 + 0*n**6 + 1/7*n**7 + 0*n**4. What is the second derivative of k(p) wrt p?
120*p**3
Differentiate 23*x - 11 - 6*x**4 - 23*x with respect to x.
-24*x**3
Let f(t) = -4*t**3 - 4*t - 5. Let x(w) = w**3 + w + 1. Let n(v) = f(v) + 5*x(v). What is the second derivative of n(s) wrt s?
6*s
Let g(h) = -14*h**3 + 69. Let z(c) = 9*c**3 - 46. Let v(u) = 5*g(u) + 7*z(u). Differentiate v(r) with respect to r.
-21*r**2
Suppose 3*z + 1 = 7. Let n = 38 - 35. Differentiate -1 - n*w**z + 12*w**2 - 6*w**2 with respect to w.
6*w
Let y(m) = -8*m - 20. Let s be y(-3). Let j(t) be the first derivative of 0*t**2 + 2/3*t**3 + 0*t - 1/2*t**s + 4. What is the third derivative of j(c) wrt c?
-12
Suppose 1 = -5*t + 6. Let o(v) = -2*v**5 + 4*v - 3. Let m(y) = -y + 0*y + 0*y + 1. Let b(p) = t*o(p) + 3*m(p). What is the second derivative of b(r) wrt r?
-40*r**3
Find the second derivative of 0*v**2 - 3*v**2 - v - v**2 - 2*v**2 wrt v.
-12
Let q(j) be the first derivative of -5*j**4/2 + 13*j - 8. Differentiate q(a) with respect to a.
-30*a**2
Let z(s) be the second derivative of -1/2*s**3 + 4*s + 0*s**4 + 0*s**5 + 0*s**6 + 0*s**2 + 0 + 2/21*s**7. What is the second derivative of z(b) wrt b?
80*b**3
Let a be (0/2 - 1)*-2. Let t(u) be the first derivative of -u + 2/3*u**3 + a + 0*u**2. Differentiate t(c) wrt c.
4*c
Let u(o) be the third derivative of 0 - 1/168*o**8 + 0*o**5 + 0*o + 0*o**6 + 1/24*o**4 + 0*o**7 + o**2 + 0*o**3. What is the second derivative of u(r) wrt r?
-40*r**3
Let m = 6 + -2. Let x(d) be the third derivative of 0 - d**2 - 1/3*d**3 + 0*d + 0*d**m - 1/30*d**5. What is the first derivative of x(k) wrt k?
-4*k
Suppose -16 + 1 = -3*y. What is the third derivative of -4*d**3 + 4*d**3 + 2*d**y - d**2 wrt d?
120*d**2
What is the first derivative of 5*v - 10*v - 30 + 10*v + 10*v wrt v?
15
Suppose m - 2 = w, -2*m - 3*m + 3*w = -