 2. Let g(h) = -h**3 - h**2 - 1. Let b = 1 - 0. Let u(f) = b*p(f) - 2*g(f). Find the second derivative of u(d) wrt d.
12*d
Let z(u) be the second derivative of u**11/13860 + u**7/420 - u**4/12 + 6*u. Let h(x) be the third derivative of z(x). Find the third derivative of h(v) wrt v.
480*v**3
Let m(t) be the second derivative of 0*t**4 + 0*t**5 + 0 - 4/21*t**7 - 3*t + 0*t**6 + 0*t**2 - 2/3*t**3. Find the second derivative of m(q) wrt q.
-160*q**3
Let y(j) be the second derivative of -j**5/60 - j**4/8 - j**3/2 - 2*j. Let p(h) be the second derivative of y(h). What is the first derivative of p(a) wrt a?
-2
Let g(o) = o**2 - 8*o + 3. Let y be g(8). Find the second derivative of 4*a + 0*a**4 + a**4 - y*a + 2*a wrt a.
12*a**2
Let t be (-1)/(-2) - 6/(-4). Differentiate t*k + 0 + 1 - 4 + 0 wrt k.
2
Let z(o) = -11*o**4 + 9*o**3 + 15. Let v(f) = -3*f**4 + 2*f**3 + 4. Let c(a) = 9*v(a) - 2*z(a). What is the derivative of c(b) wrt b?
-20*b**3
Suppose 1 = -4*c + 13. Differentiate -c*k**4 + 4 - 1 + 4*k**4 wrt k.
4*k**3
Suppose -3*d = 3*h - 6, 0*h + 2*h - 4 = -4*d. Let w be (2 + -4 - -1) + 3. What is the second derivative of h*n**2 + 5*n - w*n - 4*n wrt n?
4
Let c(k) = -k**3 + 4*k**2 + 5*k + 5. Let m be c(5). What is the third derivative of 4*u**m - 2*u**2 - u**5 + 5*u**2 - u**5 wrt u?
120*u**2
Let y(x) be the first derivative of 7 + 9/2*x**2 + 0*x**3 - 1/5*x**5 + 0*x**4 + 0*x. What is the second derivative of y(f) wrt f?
-12*f**2
What is the second derivative of -9*w**5 - 2*w + w - 6*w**5 + 7*w wrt w?
-300*w**3
Let y(k) = -2*k - 5. Let g(p) be the third derivative of -p**4/24 - p**3/6 - 3*p**2. Let v(f) = 3*g(f) - y(f). Differentiate v(z) wrt z.
-1
Suppose -f + 12 = 5*a, 3*f + 4 = -5. Find the third derivative of -2*u**a - 8*u**3 + 8*u**3 + u**2 - 3*u**2 wrt u.
-12
Suppose 3*x = r + 19, 0*x = x - 2*r - 13. Find the second derivative of 0*c**5 - 2*c + 2*c**5 + 0*c**5 + 0*c**x wrt c.
40*c**3
Let b(s) be the second derivative of 2*s**5/5 - s**4/12 + s**2/2 - 3*s. Let i be b(1). What is the third derivative of -3*f**2 + 8*f**4 + f**6 - i*f**4 wrt f?
120*f**3
Find the second derivative of 17*r**5 + 22*r - 2*r**4 - 27*r + 2*r**4 wrt r.
340*r**3
Let k(v) be the third derivative of v**7/1260 - v**5/40 + v**4/24 + v**2. Let n(r) be the second derivative of k(r). Find the first derivative of n(u) wrt u.
4*u
Suppose 0 = -s - 0*s. Differentiate -7 - 8*t**2 - 1 - 1 + s with respect to t.
-16*t
Suppose -5*n + 2*n = -15. What is the second derivative of -7*o**4 + n*o**4 + 7*o - o**4 wrt o?
-36*o**2
Suppose 4*v + 3*k - 6 = k, 0 = -4*k - 20. Suppose -3*f = -f - v. Find the first derivative of 0 - 2*x**f + 4 + 3*x**2 - 2 wrt x.
2*x
Let m(d) be the first derivative of d**6/30 + d**2 + 3*d + 2. Let q(r) be the first derivative of m(r). Find the first derivative of q(h) wrt h.
4*h**3
Let w(q) be the first derivative of -10*q**3/3 + 5*q**2 - 2. Find the second derivative of w(j) wrt j.
-20
Suppose -3 = -m, -4*m + 18 = -4*v + 5*v. Suppose 4*y - 18 = -v. Differentiate -2*x + 0*x + y*x - 3 + 2 with respect to x.
1
Let z(m) = m**2 + 6*m. Let l be z(-7). Differentiate l*s + 0*s - 4*s + 3 wrt s.
3
Let y(r) be the third derivative of 2*r**7/105 + r**6/60 + r**4/12 + 3*r**3/2 + 2*r**2 - 38*r. Find the second derivative of y(o) wrt o.
48*o**2 + 12*o
Let k(z) be the second derivative of 2*z + 3/2*z**2 - 1/4*z**4 + 0 + 0*z**3. Differentiate k(n) wrt n.
-6*n
Suppose -5 = k - 0*k. Let z = k + 7. What is the third derivative of 3*b**3 + b**2 - z*b**5 - 3*b**3 wrt b?
-120*b**2
Find the second derivative of 3 - 8 + 2*m + 12*m**2 + 3 wrt m.
24
Let c(z) = z**3 - 5*z**2 + 2. Let i be c(5). What is the second derivative of x**5 - x + 2*x + 0*x**5 + i*x**5 wrt x?
60*x**3
Let k be (-66)/(-14) - (-16)/56. Let d(z) = -z**2 - 5*z - 8. Let u(g) = 6*g + 8. Let y(c) = k*u(c) + 6*d(c). What is the first derivative of y(x) wrt x?
-12*x
Let x(o) be the third derivative of 7*o**5/60 - 61*o**4/24 + o**2 - 32. Find the second derivative of x(g) wrt g.
14
Let o(x) be the third derivative of 0*x + 0*x**6 + 0 + 0*x**5 + 3*x**2 - 1/105*x**7 + 0*x**3 - 1/12*x**4. Find the second derivative of o(z) wrt z.
-24*z**2
What is the third derivative of -5*k**2 - 3*k**4 + 12*k - 12*k wrt k?
-72*k
Let x(s) be the second derivative of 1/2*s**2 + 0*s**3 + 0 + 5*s - 1/5*s**5 + 0*s**4. What is the derivative of x(a) wrt a?
-12*a**2
Let a(v) be the second derivative of v**5/4 + v**2/2 - 3*v. Differentiate a(d) wrt d.
15*d**2
Let c(s) be the third derivative of -s**8/1680 - s**5/120 - s**4/24 - s**2. Let h(y) be the second derivative of c(y). What is the derivative of h(t) wrt t?
-12*t**2
Let k(b) be the first derivative of -23*b**4/4 - 7*b**3 + 39. What is the third derivative of k(c) wrt c?
-138
Let f(a) be the third derivative of 37*a**7/210 + a**4/12 - 17*a**2. Find the second derivative of f(z) wrt z.
444*z**2
Let k(b) be the second derivative of 0*b**5 + 0*b**2 + 0*b**4 + 0 + 2/3*b**3 - 1/14*b**7 + 0*b**6 + 2*b. What is the second derivative of k(p) wrt p?
-60*p**3
What is the third derivative of -2*o**2 + 12*o**4 - 13*o**2 - 3*o**2 + 2*o**2 wrt o?
288*o
Let y = 13 + -9. What is the third derivative of 0 - i**2 - 2*i**y + 0 wrt i?
-48*i
Let i(p) = -2*p + 8. Let f(u) = u - 8. Let j(o) = -4*f(o) - 3*i(o). What is the first derivative of j(r) wrt r?
2
Suppose 0 = 3*w - 13 - 23. What is the first derivative of 5 - 12*v + w*v - v**4 wrt v?
-4*v**3
Let p(t) be the third derivative of t**7/280 + t**5/60 - t**3/6 - 6*t**2. Let y(x) be the first derivative of p(x). What is the second derivative of y(w) wrt w?
18*w
What is the third derivative of 8*t**2 - 26*t**3 - t**4 + 35*t**3 - t**4 + 3*t wrt t?
-48*t + 54
Let t(h) be the third derivative of -11*h**7/70 + 4*h**3 + 4*h**2. Find the first derivative of t(y) wrt y.
-132*y**3
Let p = 6 + -2. Differentiate 1 - 4 + 2 - 3 + p*r**3 wrt r.
12*r**2
Suppose 5*x = 4*u - 23, -4*x - 6 - 6 = 0. Suppose u*l - 14 = -2*q, -2*l + 17 = q + l. Find the second derivative of -4*y**2 - 2*y + 2*y**2 + y**q wrt y.
-2
What is the second derivative of 8*a**2 + a + 5*a - 8*a**2 + 8*a**3 wrt a?
48*a
Suppose 3*v = v. Let s be (-12)/(-4) - (1 + v). What is the third derivative of -2*r**3 - 3*r**2 + 5*r**2 - r**s wrt r?
-12
Suppose -4*v = 6 - 22. What is the second derivative of 2*r**v - r**4 + 3*r + r**4 - 3*r**4 wrt r?
-12*r**2
What is the third derivative of -2 - 7*v**4 - v**2 + 4 - 2 wrt v?
-168*v
Suppose 0*a = -5*a + 20. Differentiate -1 - c**a - 3*c**4 + 4 - c**4 with respect to c.
-20*c**3
What is the second derivative of 10*r**5 + 45*r - 27*r - 23*r wrt r?
200*r**3
Let a(j) = j**2 - 8*j + 1. Let f be a(8). Differentiate -4*m**2 - 4 + 2*m**2 + f + 5 with respect to m.
-4*m
Let k(o) be the first derivative of o**6/180 - o**4/24 - o**3 - 3. Let h(v) be the third derivative of k(v). What is the first derivative of h(g) wrt g?
4*g
Let i(h) be the second derivative of h**8/840 + h**5/60 - h**3/3 - 3*h. Let f(w) be the second derivative of i(w). Find the second derivative of f(n) wrt n.
24*n**2
Let l(f) be the first derivative of -f**10/1260 - f**6/60 + 5*f**3/3 + 6. Let w(r) be the third derivative of l(r). Find the third derivative of w(x) wrt x.
-480*x**3
Let c(x) be the second derivative of x**10/2520 - x**6/180 - x**3/2 - x. Let j(s) be the second derivative of c(s). Find the third derivative of j(m) wrt m.
240*m**3
Suppose -3*p = -9, -4*j + j + 5*p - 3 = 0. Find the third derivative of -3*k**4 + 0*k**j + 2*k**2 - 2*k**3 + 2*k**3 wrt k.
-72*k
Suppose -f - 3*f + 31 = 5*o, -o + 7 = f. What is the derivative of 2*s**3 + f - 8 + 7 wrt s?
6*s**2
Let s(p) be the first derivative of -37*p**3/3 - 14*p + 1. Differentiate s(k) with respect to k.
-74*k
Suppose 0 = -5*s + 2*k - 5*k + 40, 4*s - 5*k + 5 = 0. What is the second derivative of 5*c - c**4 - s*c - c wrt c?
-12*c**2
Let o = -1 + 6. Suppose -5*g + o = -5. What is the third derivative of g*f**2 - 3*f**2 - 2*f**4 + 0*f**4 wrt f?
-48*f
Let b(l) = -7*l**4 - 21*l. Let u(t) = 7*t**4 + 20*t. Let j(z) = 6*b(z) + 7*u(z). What is the second derivative of j(s) wrt s?
84*s**2
Find the third derivative of 9*z**5 - 2*z - 3*z**2 + 4*z**2 + 2*z wrt z.
540*z**2
Let p(x) be the first derivative of 0*x**4 + 1/2*x**2 - 3 + 0*x + 0*x**3 + 3/5*x**5. What is the second derivative o