(f). Differentiate b(d) with respect to d.
-30
Let v = -97 - -147. What is the second derivative of s + v*s**5 - 2*s - 58*s**5 wrt s?
-160*s**3
Let c be -1*1 - (2 + -7). What is the derivative of 2*n - 5*n + c - 10 - n wrt n?
-4
Let p(f) be the second derivative of 0*f**2 + 0 + 0*f**3 - 1/2*f**4 - 7*f - 5/28*f**8 + 0*f**6 + 0*f**7 + 0*f**5. Find the third derivative of p(a) wrt a.
-1200*a**3
Let h(o) be the second derivative of 0 - 1/24*o**4 + 1/2*o**3 + o + o**2. Let k(w) be the first derivative of h(w). Find the first derivative of k(t) wrt t.
-1
Let v(b) be the first derivative of 0*b**3 - 2 - b - 1/4*b**4 + 0*b**2. What is the derivative of v(x) wrt x?
-3*x**2
Let b = 18 + -18. Let y(w) be the second derivative of -2*w + 0*w**3 - 1/30*w**6 + 0 + 0*w**4 + b*w**5 + 1/2*w**2. Differentiate y(l) wrt l.
-4*l**3
Let w(p) = 27*p**3 - 7*p**2 + 7*p + 10. Let i(r) = 9*r**3 - 2*r**2 + 2*r + 3. Let s(n) = 7*i(n) - 2*w(n). What is the first derivative of s(y) wrt y?
27*y**2
Let j(r) = r**3 + 2*r**2 - 3*r. Let g be j(-3). What is the third derivative of g*x**2 - 3*x**5 + 6*x**5 - 2*x**2 + 5*x**2 wrt x?
180*x**2
Find the first derivative of o**3 - 4 + 4*o**3 - 7*o**3 - 3*o**3 wrt o.
-15*o**2
Let o(h) = -11*h**3 - 3*h - 5. Let f(q) = 12*q**3 + 2*q + 6. Let d(c) = 5*f(c) + 6*o(c). Find the second derivative of d(p) wrt p.
-36*p
Let n(l) = 3*l**3 - 3*l**2 + 6*l - 6. Let o(p) = 5*p**3 + p - 1 + 0*p**3 - 4*p**3. Let w(m) = -n(m) + 6*o(m). What is the third derivative of w(f) wrt f?
18
Let a(n) be the second derivative of n**3 + 0*n**5 + 0 + 0*n**2 + 1/15*n**6 + 0*n**4 - 2*n. Find the second derivative of a(h) wrt h.
24*h**2
Let i(m) be the second derivative of 0*m**3 + 0*m**2 - 3/10*m**5 + 0 + 1/4*m**4 + 4*m. What is the third derivative of i(y) wrt y?
-36
Suppose -s + 5 = u, u + 3*u = 4*s + 12. What is the second derivative of -3*g**3 + 1 - 1 + u*g wrt g?
-18*g
What is the first derivative of -10 - 8 + 15 - 14*w**4 wrt w?
-56*w**3
Let w(a) = -a**3 + 4*a**2 + 3*a + 12. Let b be w(5). Find the third derivative of -25*m**3 + 5*m**5 - 3*m**b + 25*m**3 wrt m.
300*m**2
Let b(w) be the third derivative of w**7/840 - w**6/180 - w**4/24 + 2*w**2. Let i(y) be the second derivative of b(y). Find the second derivative of i(s) wrt s.
6
Let m(b) = 1 + 5*b**2 - 3*b - b**2 - 4 - 3*b**2. Let r be m(-2). Find the second derivative of r - 6 - 1 - t**2 - 2*t wrt t.
-2
Let o(x) = 12*x**4 + 2*x**2 - 19. Let p(m) = m**2 - 1. Let l(j) = -o(j) + 2*p(j). Find the first derivative of l(z) wrt z.
-48*z**3
What is the second derivative of -45*p**2 - 60*p**2 + 123*p**2 - 14*p wrt p?
36
Let u = -9 - -11. Let c(k) be the first derivative of -2/3*k**3 + 0*k**2 + 0*k + u - 1/4*k**4. What is the third derivative of c(w) wrt w?
-6
Find the third derivative of -9 + 9 - 7*s**6 + 4*s**2 - s**6 wrt s.
-960*s**3
Let d(l) be the first derivative of 22*l**3/3 + 35*l**2/2 - l - 34. Find the second derivative of d(q) wrt q.
44
Suppose 0 = -3*d + 4*v + 23, 3*v = -2*d - v - 18. Suppose 2*m - d = m. Find the first derivative of 7*j**2 + 0 - 6*j**2 + m wrt j.
2*j
What is the first derivative of 3*y**2 - 3*y**2 + 0*y**2 - 49 - 16*y**4 wrt y?
-64*y**3
Let j(i) = -i**2 + i + 4. Let c(d) = 15*d - d**2 + 11 - 12*d - 2. Let u(q) = 4*c(q) - 9*j(q). Find the second derivative of u(s) wrt s.
10
Let m(w) = 2*w**2 + w - 2. Let h be 0 - 1 - 0 - 1. Let i be m(h). What is the second derivative of -i*d - 2*d - d**4 + 5*d wrt d?
-12*d**2
Let t(k) be the third derivative of 7*k**6/24 - 8*k**5/15 + 13*k**2. Find the third derivative of t(i) wrt i.
210
Let x(r) = 2*r - 4. Let f be x(2). Let o(d) be the second derivative of -1/6*d**4 + f - 1/3*d**3 - d + 0*d**2. Find the second derivative of o(h) wrt h.
-4
Let o(x) be the first derivative of 2 + x**3 - 3/2*x**2 + 0*x. What is the second derivative of o(u) wrt u?
6
Let q(d) be the first derivative of -d**4/4 + d**2 - 2*d - 1. Let m(c) be the first derivative of q(c). What is the derivative of m(l) wrt l?
-6*l
Let a(r) = r**3 - 7*r**2 - 7*r - 3. Let l be a(8). What is the derivative of -p - l + 2 + 2*p**2 + p wrt p?
4*p
Let s(z) = 2*z - 9. Let p be s(7). Find the third derivative of p*b**6 - b**2 + 2*b**2 - 3*b**6 wrt b.
240*b**3
Let j(f) = -1. Let s(c) = -3*c - 4 + 3 - 3. Let l(a) = j(a) - s(a). What is the first derivative of l(q) wrt q?
3
What is the third derivative of -13*c**2 - 23*c**2 - 6*c**5 + 15*c**2 - 7*c**2 wrt c?
-360*c**2
Let b(d) = d**2 + 1. Let i(c) = -c**2 + 20*c - 36. Let y(g) = -3*b(g) - i(g). What is the first derivative of y(k) wrt k?
-4*k - 20
Let d(s) be the third derivative of s**9/252 - s**5/5 - 6*s**2. Find the third derivative of d(b) wrt b.
240*b**3
Let r(p) be the second derivative of 2*p**7/7 - p**4/6 - 17*p**2/2 - 38*p. What is the third derivative of r(b) wrt b?
720*b**2
Let p be (-2)/(-4)*2*2. Suppose -p*o + 11 = -1. What is the third derivative of 0*c**2 + 4*c**2 - c**o - 2*c**2 wrt c?
-120*c**3
Find the second derivative of -9*c + 11*c**4 + 5*c - 6*c wrt c.
132*c**2
Let v(g) = -3*g**4 - 2*g**3 - 21*g**2 + 2*g. Let c(r) = r**3. Let k(m) = 2*c(m) - v(m). What is the third derivative of k(q) wrt q?
72*q + 24
Let n(d) be the first derivative of 3*d**4/2 + 3*d**2 - 1. What is the second derivative of n(r) wrt r?
36*r
Find the first derivative of 53*k - 16 + 57 - 5*k wrt k.
48
Let v = -101 + 101. Let u(t) be the third derivative of v*t**4 + 1/20*t**5 + 0*t**3 - 2*t**2 + 1/60*t**6 + 0 + 0*t. Find the third derivative of u(s) wrt s.
12
Let z(m) = -m**2 - 11*m + 15. Let t be z(-12). Suppose -3*a = -3*n - 18, 2*a - 2*n - 6 = t*a. Find the first derivative of 0*h - 2*h + 5*h + a wrt h.
3
Let c(i) = -12*i**2 - 10*i + 6*i**2 - 12 + 4. Let q(y) = -y**2 - y - 1. Let u(n) = -c(n) + 8*q(n). What is the second derivative of u(p) wrt p?
-4
Let v(p) be the first derivative of -3/4*p**4 - 3/2*p**2 + 0*p**3 + 0*p - 1. What is the second derivative of v(x) wrt x?
-18*x
Let r(w) = 45*w**3 + 4*w - 35. Let a(c) = -135*c**3 - 11*c + 104. Let k(f) = 4*a(f) + 11*r(f). Find the first derivative of k(b) wrt b.
-135*b**2
Let i(b) = -b. Let w be i(0). What is the third derivative of -z**2 + 0 - 3*z**3 + w + 0 wrt z?
-18
Suppose 2*o = 5*z + 21, 5*o - z - 9 = 3*o. Suppose -p = -0 - o. Differentiate -4*b + 5 - p + 3 - 2 with respect to b.
-4
Let w(v) be the third derivative of v**7/35 + 4*v**3/3 - 4*v**2. Find the first derivative of w(b) wrt b.
24*b**3
Let z(a) = -73*a**3 - 14*a**2 - 7*a. Let i(k) = -49*k**3 - 9*k**2 - 5*k. Let y(b) = -7*i(b) + 5*z(b). What is the third derivative of y(p) wrt p?
-132
What is the second derivative of 16*m - 2*m**2 - 23*m + m**2 wrt m?
-2
Let i = 21 - 9. Find the third derivative of 8*r**6 - i*r**6 - 2*r**2 + 0*r**6 wrt r.
-480*r**3
Let r(b) = b**3 - 9*b**2 + 2*b - 13. Let a be r(9). Differentiate 2*n - 2*n + n - 3*n + a wrt n.
-2
Let t = -4 + 8. Find the second derivative of b + 2*b**3 - 4*b**3 + t*b**3 wrt b.
12*b
Let y(i) = 2*i - 6. Let w(x) = 7*x - 31. Let k(z) = -z. Let p(q) = 2*k(q) - w(q). Let o(b) = 2*p(b) + 11*y(b). Differentiate o(h) wrt h.
4
Let v(u) be the first derivative of 1/3*u**3 + 0*u**2 - 2 - 3*u. Differentiate v(f) with respect to f.
2*f
Let i(r) be the first derivative of r**5/5 + 26*r**3/3 - 10. Find the third derivative of i(n) wrt n.
24*n
Let h(i) be the third derivative of 0 + 0*i**6 + 1/12*i**4 + 2/105*i**7 + i**2 + 0*i**3 + 0*i + 0*i**5. Find the second derivative of h(y) wrt y.
48*y**2
Let d(u) be the first derivative of -u**6 + 10*u**3/3 + 8. Find the third derivative of d(x) wrt x.
-360*x**2
Let j be (3 - (-2103)/3) + -2. What is the first derivative of 8 + 702*v - j*v + 3*v**2 wrt v?
6*v
Let x be 188/36 + 4/(-18). What is the third derivative of 87*p + x*p**5 - 87*p - p**2 wrt p?
300*p**2
Let j(n) = 3*n - 19. Let f(d) = d**2 - 4*d + 18. Let k(g) = -3*f(g) - 4*j(g). Differentiate k(t) wrt t.
-6*t
Differentiate -2 - 2*b + 0*b - 9*b with respect to b.
-11
Let d = -7 + 9. Suppose d*i - 18 = -0*i. Find the second derivative of 12*x**2 - i*x**2 - 3*x - 2*x**2 wrt x.
2
What is the first derivative of 26*f**2 + f**2 - 5*f**2 + 17*f**2 + 10 wrt f?
78*f
Find the third derivative of -5*q**2 - 6*q**2 + 13*q**2 - 62*q**5 + 15*q wrt q.
-3720*q**2
Let a be 8 + (-3 + 3 - 1). Suppose d = -4*v + a + 1, 0 = 2*v - 2. What is the t