- 2). Let h(n) = u*j(n) - 6*i(n). Find the first derivative of h(y) wrt y.
6*y
Let l(z) = 9*z - 3. Let r be l(2). Let t = r - 10. What is the second derivative of 5 + p - t + 2*p**2 wrt p?
4
Let u = 17 + -15. What is the second derivative of -8*w - 10*w**u + 0 + 0 + 0*w**2 wrt w?
-20
What is the first derivative of 35 + 17 - 22*n**2 - 40 wrt n?
-44*n
Let c(w) be the third derivative of -6*w**7/35 + 23*w**5/30 + 25*w**2. What is the third derivative of c(v) wrt v?
-864*v
Find the first derivative of 8 + 7*r**4 + r**4 + 1 - 3 wrt r.
32*r**3
Let z(d) = 2*d**2 + 3*d. Let f be z(-2). Suppose -4*l - 8 = 4*g, 0 = -3*l + g - 3 + 13. Find the third derivative of -u**5 + l*u**f - u**2 + 0*u**2 wrt u.
-60*u**2
Let b(w) = w + 2. Let n = -4 + 8. Let o(u) = 5*u + 10. Let i(a) = n*o(a) - 22*b(a). What is the derivative of i(m) wrt m?
-2
Let k(j) = -12*j**2 + 2*j + 17. Let x(m) = -120*m**2 + 21*m + 171. Let f(a) = 21*k(a) - 2*x(a). What is the first derivative of f(w) wrt w?
-24*w
Let q(d) = 12*d**3 + 10*d - 5. Let v(k) = -18*k**3 - 15*k + 7. Let f(n) = -7*q(n) - 5*v(n). Find the second derivative of f(l) wrt l.
36*l
Let p(z) = -64*z**3 + 5*z**2 + 20*z. Let r(a) = -64*a**3 + 6*a**2 + 20*a. Let b(t) = 7*p(t) - 6*r(t). What is the third derivative of b(m) wrt m?
-384
Let a(y) = -y**2 + 1. Let p(l) = -10*l**2 + 38*l + 2. Let x(r) = -2*a(r) + p(r). What is the second derivative of x(o) wrt o?
-16
Let g(y) be the first derivative of -3 - y + 2*y + 2 + y**3. Differentiate g(d) with respect to d.
6*d
Let g(d) = -3*d**3 + 4*d**2 - 2. Let h(f) = 0 + f**3 + 2 - f**2 - 1. Let b(c) = g(c) + 4*h(c). What is the first derivative of b(y) wrt y?
3*y**2
Suppose -2*h = -5*l - 3*h + 15, 4*l - 2*h - 12 = 0. What is the third derivative of -2*m**2 + l*m**4 + 9*m**2 - 5*m**4 + 0*m**4 wrt m?
-48*m
Suppose 0 = -c + 4 - 1. What is the second derivative of 8*g - c*g - g + 0*g**4 + 2*g**4 wrt g?
24*g**2
Find the third derivative of -2*t**6 + 11*t**2 + 0*t**6 - 13*t**2 wrt t.
-240*t**3
Let x(z) = -12*z - 1. Let v = 39 - 17. Let b(n) = -n. Let k(a) = v*b(a) - 2*x(a). Find the first derivative of k(y) wrt y.
2
Let u(b) = -2 + 2 + 4*b + 5. Suppose p - 13 = -f, p + 10 + 9 = 3*f. Let x(o) = -11*o - 14. Let n(c) = f*u(c) + 3*x(c). Differentiate n(y) wrt y.
-1
Let n(p) = p - 2. Let w be n(7). Suppose 0 = -3*o + v + 5, 3*o - 4*o + w*v = 3. What is the third derivative of -6*r**3 + 2*r**2 + 2*r**3 + o*r**3 wrt r?
-12
Let z(k) be the first derivative of -7*k**6/6 - 4*k**3 - 11. What is the third derivative of z(t) wrt t?
-420*t**2
Let c(j) be the first derivative of -7*j**5/5 - 16*j - 1. Differentiate c(y) wrt y.
-28*y**3
Find the third derivative of -3*c**4 - 89 - 3*c**2 + 89 wrt c.
-72*c
Let g(n) = 2*n + 12. Let c(i) = i + i + 6 + 0*i - i. Let h(j) = -13*c(j) + 6*g(j). Differentiate h(w) with respect to w.
-1
Let k be 6/1*6/9. Suppose 2*v + w - 6 = 5*w, -w = 1. Differentiate k - v - 6 - n**2 with respect to n.
-2*n
Let s(t) be the third derivative of t**6/90 + 7*t**5/120 - t**3/2 - 2*t**2. Let q(h) be the first derivative of s(h). Find the second derivative of q(i) wrt i.
8
Let i(v) = v**3 + v**2 - v. Let d(h) = -4*h**4 - h**3 + 2*h**2 + h. Suppose 0*b - 3 = 3*b. Let g(o) = b*d(o) - i(o). Find the third derivative of g(q) wrt q.
96*q
Suppose 2*f = 4*j - 8, -8 = -2*j - 2*j. Let i = 2 - f. What is the second derivative of -r**i + 2*r - 5*r + r wrt r?
-2
Let l(i) = 3*i**4 - 4*i**3 + 4*i**2 - 1. Let c(m) = -3*m**4 + 3*m**3 - 3*m**2 + 2. Let r(x) = 4*c(x) + 3*l(x). What is the first derivative of r(s) wrt s?
-12*s**3
Let o(x) be the third derivative of 13*x**5/60 + 5*x**4/24 + x**2. Find the second derivative of o(p) wrt p.
26
Differentiate 16*p + 26*p + 16 - 8*p + 14 with respect to p.
34
Let z = -3 + 5. Suppose 11 - z = 3*p. What is the second derivative of 4*f + 0*f**5 - f + p*f**5 wrt f?
60*f**3
Let f(s) be the second derivative of -6*s + 1/3*s**3 - 3/20*s**5 + 0*s**2 + 0*s**4 + 0. Find the second derivative of f(v) wrt v.
-18*v
Let p(i) be the third derivative of -1/3*i**3 + 0 + 10*i**2 + 0*i - 5/24*i**4. Differentiate p(d) wrt d.
-5
Let p(o) be the second derivative of -31*o**3/6 - 3*o**2/2 + 23*o. What is the first derivative of p(v) wrt v?
-31
Let b(w) be the third derivative of 0*w**3 + 0*w**4 + 0 + 0*w + 1/20*w**5 + 7*w**2 + 0*w**6 - 2/105*w**7. What is the third derivative of b(k) wrt k?
-96*k
Let l be (5 + -2 + -4)*-2. Find the third derivative of 0*k**6 + 3*k**6 + 0*k**6 + 3*k**l - 4*k**2 wrt k.
360*k**3
Let h(w) be the third derivative of 13*w**6/120 + 7*w**4/12 - 3*w**2. What is the second derivative of h(y) wrt y?
78*y
Let q = -4 + 8. Let x(m) = 0*m**2 + 4 - 7*m**q + 0*m**2. Let y(d) = -3*d**4 + 2. Let z(t) = 2*x(t) - 5*y(t). What is the first derivative of z(n) wrt n?
4*n**3
Let s(g) = 6*g - 6. Let f(m) = -m + 1. Let t(q) = 4*f(q) + s(q). Differentiate t(v) wrt v.
2
Let m(f) = -12*f**4 + 12*f. Let o(d) = -13*d**4 + 11*d. Let y(p) = 4*m(p) - 3*o(p). What is the second derivative of y(a) wrt a?
-108*a**2
Let b(o) = o**2 - o + 1. Let j(q) = -2*q**4 - 7*q**3 + 36*q**2 + 3*q - 3. Let h(d) = -3*b(d) - j(d). Find the third derivative of h(g) wrt g.
48*g + 42
Find the third derivative of -43*b - 16*b**3 + 21*b + 22*b - 4*b**2 wrt b.
-96
Let l(n) be the first derivative of -3*n**5 + 27*n**2/2 - 34. What is the second derivative of l(h) wrt h?
-180*h**2
Suppose 3 + 1 = t. What is the second derivative of n**4 + 17*n - 4*n**t - 11*n wrt n?
-36*n**2
Let t(w) be the second derivative of w**9/7560 - w**7/2520 - w**4/12 + w. Let l(b) be the third derivative of t(b). What is the third derivative of l(f) wrt f?
48*f
Let z(p) be the third derivative of 11*p**7/105 - 11*p**4/12 - 44*p**2. Find the second derivative of z(j) wrt j.
264*j**2
Let k(l) be the third derivative of -l**7/35 - l**5/30 + 8*l**2. Find the third derivative of k(a) wrt a.
-144*a
Let s = 6 - 3. Let m(z) = -z**3 + z. Let y(q) = -2*q**5 + 3*q**3. Let u(x) = s*m(x) + y(x). What is the second derivative of u(b) wrt b?
-40*b**3
Let h(r) be the first derivative of -5*r + 4 + 0 + r**3 + 0. Find the first derivative of h(y) wrt y.
6*y
Let h(v) = v**3 - v. Let w(m) = 25*m**3 + 2*m + 20. Let q(j) = 2*h(j) + w(j). Differentiate q(u) with respect to u.
81*u**2
Let v(q) = q**3 + 4*q**2 + 3*q + 2. Let y be v(-2). Let j be (2/4)/(1/y). Differentiate -5 + x**3 + 3 - j*x**3 with respect to x.
-3*x**2
Let k(r) be the second derivative of 0*r**2 + 4/3*r**3 + 0 + 0*r**4 - 3/10*r**5 + 6*r. Find the second derivative of k(f) wrt f.
-36*f
Suppose 0*c = -3*c + 15. Suppose -2*v + 13 = c*t, -3*v + 3*t + 4 = -5. Find the third derivative of -v*k**2 - 4*k**3 + 0*k**2 + 10*k**3 - 5*k**3 wrt k.
6
Find the third derivative of -218*r + 2*r**2 - 219*r - r**4 - 8*r**3 + 440*r wrt r.
-24*r - 48
Let r(a) = -12*a**3 - 22*a**2 - 16*a. Let h(v) = 4*v**3 + 7*v**2 + 5*v. Let q(k) = -16*h(k) - 5*r(k). Find the third derivative of q(n) wrt n.
-24
Let s be (-2)/(-3)*(0 + 3). Find the second derivative of -s*z + 4*z**4 + 50 - 50 wrt z.
48*z**2
Let g(c) be the first derivative of 2*c**3/3 - 7*c - 6. Differentiate g(m) with respect to m.
4*m
Let c(i) be the first derivative of 31*i**5/5 + 31*i - 19. Find the first derivative of c(n) wrt n.
124*n**3
Let k(x) be the second derivative of -x**7/42 + 7*x**4/12 + 5*x. Find the third derivative of k(c) wrt c.
-60*c**2
Let q(z) = -9*z + 8. Let m(f) = -37*f + 33. Let p(u) = 2*m(u) - 9*q(u). Differentiate p(o) with respect to o.
7
Let s = -6 - -10. Let b be 1/(1/(-2)) + s. Find the second derivative of -2*a + 1 - 3 + 2 + b*a**2 wrt a.
4
Let h = -1 - -3. Let j be 1 - (4 - h)*-1. Find the third derivative of 0*s**2 + 0*s**2 + j*s**2 + 3*s**3 wrt s.
18
Suppose -10 = -6*x + x. What is the second derivative of -2*k - 5*k + x*k**5 + 0*k + 9*k wrt k?
40*k**3
Let y(h) be the second derivative of 9*h**5/20 + 13*h**2/2 - 4*h. Differentiate y(x) wrt x.
27*x**2
What is the derivative of -74*p**3 + 45 + 33*p**3 - 3*p + 37*p**3 wrt p?
-12*p**2 - 3
Let s(d) be the third derivative of d**4/12 - 2*d**3 - 2*d**2. Let w be s(8). What is the derivative of -3 + w - 3 + k wrt k?
1
Let h(v) = v**3 + 5*v**2 + 3*v. Let b be h(-4). What is the first derivative of 5*w**4 - 4*w**b - 3*w**4 + 1 wrt w?
-8*w**3
Let h(c) be the third derivative of c**8/48 + c**4/1