he second derivative of a(d) wrt d?
24*d**2
Let t(w) be the second derivative of 2/3*w**3 + 0*w**5 + 0*w**2 + 0*w**4 + 0 - 1/15*w**6 - 6*w. Find the second derivative of t(d) wrt d.
-24*d**2
Let v(d) = 23*d**4 - 8*d**3 + 4*d**2 - 8. Let t(f) = -15*f**4 + 5*f**3 - 3*f**2 + 5. Let y(p) = 8*t(p) + 5*v(p). Find the third derivative of y(x) wrt x.
-120*x
Let u(g) = -g - 1. Let x be u(-5). What is the third derivative of -3*s**4 - 2*s**2 + s**4 + 2*s**x - 2*s**5 wrt s?
-120*s**2
Let g(t) be the second derivative of 0 - 1/3*t**4 + 0*t**2 - 1/6*t**3 + 5*t. What is the second derivative of g(a) wrt a?
-8
Let z(j) = -15*j**2 + 8*j. Let x(l) = 16*l**2 - 9*l. Let m(v) = -5*x(v) - 6*z(v). Find the second derivative of m(u) wrt u.
20
Let u(z) be the first derivative of 3*z**7/7 + 10*z**3/3 + 2*z + 56. What is the third derivative of u(b) wrt b?
360*b**3
Let c(k) = -k**3 - 3*k**2 - 2*k + 2. Let q be c(-2). Differentiate 2*r**q - 4 - 12 + 11 with respect to r.
4*r
Differentiate 10 + 14 - 76 - 5*i + 17 wrt i.
-5
Suppose 3*u - u - 4 = 0. What is the third derivative of 10*n**4 - 4*n**4 - 11*n**4 + 6*n**u wrt n?
-120*n
Let f(a) = 30*a + 29. Let l(m) = -15*m - 14. Let y(k) = -3*f(k) - 7*l(k). Differentiate y(v) wrt v.
15
Let k(f) be the third derivative of f**8/336 + f**5/20 + 8*f**2. What is the third derivative of k(m) wrt m?
60*m**2
Find the second derivative of -9*p**2 + 4*p**2 - 12*p - p + 2*p wrt p.
-10
Let z(l) be the third derivative of -1/8*l**4 + 3*l**2 + 0*l + 1/6*l**3 + 1/40*l**5 + 0. Let p(q) be the first derivative of z(q). Differentiate p(c) wrt c.
3
Let j(s) be the first derivative of 10*s**3 + 7*s**2/2 - 3*s + 44. Find the second derivative of j(i) wrt i.
60
Let d(h) be the second derivative of -h**5/10 - h**4/12 + 19*h**2/2 - h - 18. Differentiate d(f) wrt f.
-6*f**2 - 2*f
Differentiate -9 + 3*m**3 - 3*m**3 - 51*m**4 - 48 wrt m.
-204*m**3
Let n(g) = -g**5 - g**2 + g. Let k(b) = 2*b**5 - 6*b**4 + 4*b**2 - 5*b - 1. Let i(d) = -k(d) - 4*n(d). Find the second derivative of i(h) wrt h.
40*h**3 + 72*h**2
Let w(z) be the third derivative of -z**7/105 + z**6/45 + z**3/6 + 9*z**2. Let c(q) be the first derivative of w(q). What is the third derivative of c(j) wrt j?
-48
Let x(o) = 15*o**4 - 55*o**2 - 140. Let m(f) = f**4 - 4*f**2 - 10. Let y(b) = -55*m(b) + 4*x(b). Differentiate y(j) wrt j.
20*j**3
Let i(a) be the second derivative of 3*a**4/4 - a**2/2 + 12*a. What is the derivative of i(w) wrt w?
18*w
What is the second derivative of -9*h**3 + 90 + h - 28*h**3 - 14*h**3 - 29 wrt h?
-306*h
Let b(s) = s**4 + 4*s**3 - 4*s**2 + 11*s. Let z(p) = p**4 + 9*p**3 - 9*p**2 + 22*p. Let x(m) = 9*b(m) - 4*z(m). What is the second derivative of x(v) wrt v?
60*v**2
Suppose -3*p + p + 4 = 0. Suppose -5*i = -0*x - 2*x + 1, 5*i = -2*x + 11. Find the third derivative of -o**2 + 2*o**2 + 2*o**x + 4*o**3 - p*o**3 wrt o.
24
Let k(v) = -5 + 0*v**3 + 2*v**3 + 7*v + v**3. Let i(m) = m**3 + 3*m - 2. Let t(o) = 15*i(o) - 6*k(o). Find the second derivative of t(n) wrt n.
-18*n
Let l(o) = -12*o**4 + 3*o**3 + 3*o**2 - 7*o. Let a(t) = 13*t**4 - 4*t**3 - 4*t**2 + 7*t. Let i(u) = 3*a(u) + 4*l(u). Find the second derivative of i(p) wrt p.
-108*p**2
Suppose -3*h + 3 = r + 4, -4*r + h = -9. Find the second derivative of -r*l**4 - l + l**4 + 3*l**4 wrt l.
24*l**2
Let w(z) be the first derivative of 0*z**2 - 3/5*z**5 + 4 + 0*z**4 + 0*z - 2/3*z**3. What is the third derivative of w(d) wrt d?
-72*d
Let f(v) = 2*v**2 - 12. Let p(u) = -9*u**2 + 60. Let a(d) = 11*f(d) + 2*p(d). Differentiate a(c) wrt c.
8*c
Let j(f) = 2*f**3 + 12*f. Let z(b) = b**3 - b. Let p(d) = -j(d) - 3*z(d). What is the second derivative of p(a) wrt a?
-30*a
Differentiate -2*m**4 - 5*m**4 - 35 + 16 - 15 wrt m.
-28*m**3
Let j(r) be the first derivative of r**7/420 + r**4/8 - r**3 - 2. Let h(s) be the third derivative of j(s). Differentiate h(x) wrt x.
6*x**2
What is the derivative of -120 - 8*g - 10*g + 117 wrt g?
-18
Let j(i) = -93*i**3 + 17*i**2 + i + 17. Let o(a) = -31*a**3 + 6*a**2 + 6. Let x(y) = 6*j(y) - 17*o(y). What is the second derivative of x(p) wrt p?
-186*p
Let z(n) be the second derivative of -2*n**7/7 - n**4/12 - 7*n. What is the third derivative of z(a) wrt a?
-720*a**2
What is the third derivative of -1870*t**4 - 2 + 1870*t**4 - 5*t**2 + 11*t**6 wrt t?
1320*t**3
Let y be (2 - -1 - 3)/1. Let s(k) be the first derivative of -2 + 0*k**2 - 2/3*k**3 - 1/4*k**4 + y*k. Find the third derivative of s(m) wrt m.
-6
Let p = 6 + -7. Let l = 5 - p. Find the third derivative of 0*d**2 - 3*d**6 + 4*d**6 - 3*d**2 - 3*d**l wrt d.
-240*d**3
Let h(a) be the first derivative of a - 1. Let g be (-2)/(-4) - (-66)/(-12). Let p(x) = -x - 8. Let s(v) = g*h(v) - p(v). Differentiate s(u) wrt u.
1
Find the second derivative of 5*j**3 - j**3 + 0*j + 4*j wrt j.
24*j
Let t(i) = i**2 - 2*i + 2. Let g be t(3). What is the third derivative of 2*b + 8*b**6 - 2*b + 3*b**2 - g*b**6 wrt b?
360*b**3
Let q be (-1)/2 + (-13)/(-2). Let s(y) = -2*y + 3*y + q*y + 7. Let a(c) = -8*c - 8. Let w(n) = -6*a(n) - 7*s(n). Find the first derivative of w(p) wrt p.
-1
Suppose 0 = -5*o - u + 16, -u + 5*u = 5*o - 11. Find the second derivative of -d**3 - d + 3 - o wrt d.
-6*d
Suppose 25 = 5*l, -r + 3*r = 2*l + 6. Differentiate 4*z**2 + 4 + 1 - r wrt z.
8*z
Let n(h) be the third derivative of -h**10/151200 - h**6/240 + h**5/15 - 2*h**2. Let v(o) be the third derivative of n(o). What is the derivative of v(q) wrt q?
-4*q**3
Suppose -5*x = f - 6*f + 15, 0 = -3*x + 3. Let j(i) be the second derivative of f*i - 2*i**2 - 1/4*i**4 + 0*i**3 + 0. What is the derivative of j(k) wrt k?
-6*k
Find the second derivative of 6*m - m + 7*m**3 - 4*m + m**3 wrt m.
48*m
Let v(g) = g**2 - 5*g - 10. Let z = -6 + 13. Let y be v(z). What is the third derivative of 0*w**4 - 2*w**2 + 3*w**2 - 2*w**y + w**4 wrt w?
-24*w
Let r = 23 - 16. Let f(w) be the third derivative of 0 + 0*w**6 + 0*w**4 + 0*w + 1/3*w**3 - 3*w**2 + 1/70*w**r + 0*w**5. Differentiate f(i) wrt i.
12*i**3
Find the second derivative of -u**4 - 2*u**4 - 6*u + 7*u**4 + u wrt u.
48*u**2
Let j(p) be the third derivative of 1/30*p**5 + 0*p**3 + 0*p**4 + 0*p + 0 - 1/105*p**7 - 2*p**2 + 0*p**6. Find the third derivative of j(v) wrt v.
-48*v
Let f(v) = -v**4 - v**3 - v + 1. Let k(j) = -5*j**4 - 3*j**3 - 6*j + 3. Let n(p) = -3*f(p) + k(p). What is the second derivative of n(d) wrt d?
-24*d**2
Let m(h) = 2*h - 3. Let j be m(4). Find the third derivative of -n**2 + 5*n**2 + 9*n**5 - 4*n**j wrt n.
300*n**2
Let l(z) be the first derivative of -1/2*z**2 + 0*z**4 + 5/6*z**6 + 0*z + 0*z**3 + 0*z**5 + 1. Find the second derivative of l(r) wrt r.
100*r**3
Suppose -u - 2 + 4 = 0. Find the first derivative of -2 + 1 + 0 - 4*m**u wrt m.
-8*m
Let w(f) = f + 10. Let l(k) = 1. Suppose -4*r = 3*c - 26, 4*c + 0*r + 2 = 2*r. Let d(v) = c*w(v) - 22*l(v). What is the derivative of d(m) wrt m?
2
Let c(u) = -u**3 + u**2 + u - 3. Let g be c(0). Let k be (-7)/g - (-4)/6. Find the third derivative of -h**2 - k + 3 - h**3 wrt h.
-6
Let l(a) = -2*a + 4. Let s be (-6)/(-9) - (-34)/3. Let k(y) = -1 - 2 + s - 4*y. Let g(w) = 2*k(w) - 5*l(w). What is the derivative of g(f) wrt f?
2
Suppose -f = -1 - 0. Find the first derivative of a**2 + 3*a**4 + 0*a**2 + f - a**2 wrt a.
12*a**3
Let y(h) be the third derivative of -h**7/105 + 2*h**5/15 - h**4/12 + h**3/3 - 13*h**2 - h. What is the second derivative of y(t) wrt t?
-24*t**2 + 16
Suppose 8 = -3*x + 2. Let d be x*(-3)/12*10. What is the second derivative of 4*h**5 + 9*h**5 - 11*h**d - 2*h wrt h?
40*h**3
Suppose -g = -2, n - 2*g = -g - 1. Let c(d) = 7*d**3 - d. Let l be c(n). Find the third derivative of -4*s**6 + 2*s**2 - 4*s**2 + s**l + s**2 wrt s.
-360*s**3
Let l be 3 + -1 - (2 + -4). Let q(r) = -3*r + 4. Let d(y) = 2*y - 4. Let n(o) = l*d(o) + 5*q(o). What is the derivative of n(f) wrt f?
-7
Let q(z) be the first derivative of -23*z**3/3 + 38*z - 40. Differentiate q(j) with respect to j.
-46*j
Let f(l) be the third derivative of 2*l**5/15 - 2*l**4/3 - 2*l**2. Find the second derivative of f(x) wrt x.
16
Find the third derivative of -8*m**2 - m**2 + 20*m**5 - 2*m**2 wrt m.
1200*m**2
Let y(s) = -35*s - 38. Let f(h) = -52*h - 57. Let u(n) = 5*f(n) - 8*y(n). What is the first derivative of u(r) wrt r?
20
Let m(q) 