 w(h) = m*s(h) - 8*c(h). Find the first derivative of w(v) wrt v.
-9*v**2
Let d(u) be the first derivative of -5*u**9/504 + 2*u**5/15 + 3*u**2 + 7. Let b(v) be the second derivative of d(v). Find the third derivative of b(p) wrt p.
-600*p**3
Let x(y) = -22*y**3 + 9*y**2 + 20. Let q(t) = -11*t**3 + 4*t**2 + 10. Let c(u) = -9*q(u) + 4*x(u). Differentiate c(b) with respect to b.
33*b**2
Let r(a) be the second derivative of -a**7/70 + a**5/30 - a**2 + 3*a. Let y(b) be the first derivative of r(b). What is the third derivative of y(d) wrt d?
-72*d
Let l(d) = 10*d**3 + 17*d**2 + 6. Let p(y) = -y**3 + 1. Let i(u) = -l(u) + 6*p(u). Find the third derivative of i(s) wrt s.
-96
Find the first derivative of -7 + 15 + 5 - 3*x**2 wrt x.
-6*x
Suppose -d = -4*p + 13, -4 + 3 = p + 4*d. Differentiate -2*b**3 - 2*b**p + b**3 + 2 + 1 wrt b.
-9*b**2
Suppose 1 = -p + 3. Differentiate p - 2 - 2*f**2 - 2 wrt f.
-4*f
Let s(b) be the first derivative of -2*b**4 - 2*b**2 + 6. Find the second derivative of s(k) wrt k.
-48*k
Let t(r) be the first derivative of -23*r**4/4 - 27*r - 7. Differentiate t(d) wrt d.
-69*d**2
What is the second derivative of v**4 - 433*v**2 + 49*v - v**3 + 433*v**2 wrt v?
12*v**2 - 6*v
Let k(v) = -6*v - 1. Let h be k(-1). Find the second derivative of -a - h*a**2 - a + 3*a**2 wrt a.
-4
Let y(g) be the second derivative of 17*g**3/3 + 23*g**2/2 + 16*g. Differentiate y(j) with respect to j.
34
Let d(m) be the first derivative of -11*m**5/5 - 7*m + 18. Differentiate d(h) wrt h.
-44*h**3
Suppose 0 = -2*d - 2*d. Suppose -x + 5*g + 24 = d, 12 = 2*x - 0*g - g. What is the second derivative of -x*i**4 + 2*i**4 + i - i**4 wrt i?
-36*i**2
Let n(s) = 6*s**2 + 11*s + 7. Let p(m) = 3 - 1 - 3*m**2 + 6*m + 6*m**2 + 2. Let o(l) = -6*n(l) + 11*p(l). What is the first derivative of o(d) wrt d?
-6*d
Let y be (-8)/10 - 56/(-20). Let g(o) be the second derivative of 3/20*o**5 + 1/3*o**4 + 0*o**3 + 0*o**2 + 0 + y*o. What is the third derivative of g(w) wrt w?
18
Let a = 13 + -10. Differentiate -5 + 0*n**a + 1 - 3*n**3 with respect to n.
-9*n**2
Let m(r) = 3*r**3 + 2*r**2 - 2*r + 1. Let z be m(1). Suppose z*p - 3 = 3*p. What is the second derivative of 2*x**2 - 2*x**2 + 0*x**p + x - x**3 wrt x?
-6*x
Let u = -107/5 + 326/15. Let b(k) be the second derivative of u*k**3 + 0 - 3/2*k**2 - 4*k. Differentiate b(d) wrt d.
2
Let r(m) = 8*m**3 - 2*m**2 + 11. Let j(p) = -p**3 + p**2 - 1. Let n(x) = -2*j(x) - r(x). Differentiate n(z) with respect to z.
-18*z**2
Let z(f) be the first derivative of f**3 + 0*f**2 + 0*f**4 + 0*f + 3 + 0*f**5 + 5/6*f**6. Find the third derivative of z(k) wrt k.
300*k**2
Let x(a) be the third derivative of -a**7/70 + a**5/15 - 53*a**3/6 + 23*a**2. Find the first derivative of x(r) wrt r.
-12*r**3 + 8*r
Let f(j) = 53*j**3 + 59*j**2. Let c(m) = 26*m**3 + 30*m**2. Let i(y) = 5*c(y) - 3*f(y). Find the third derivative of i(v) wrt v.
-174
What is the third derivative of 8*y**3 - 2*y**2 - 8*y**3 + y**5 wrt y?
60*y**2
Let k(a) = -a**6 + 13*a**2. Let n(o) = 3*o**6 - 26*o**2. Let q(l) = -13*k(l) - 6*n(l). What is the third derivative of q(s) wrt s?
-600*s**3
Let b(f) be the second derivative of 3*f**7/14 - 7*f**3/6 - f. Find the second derivative of b(t) wrt t.
180*t**3
Suppose -9*j = -4*j - 15. Find the third derivative of j*k**2 - 2*k**2 - 2*k**2 + 2*k**5 + 0*k**5 wrt k.
120*k**2
Let h(z) be the second derivative of -z**6/3 + 7*z**3/6 + 9*z. What is the second derivative of h(i) wrt i?
-120*i**2
Let b(s) = 45*s**3 + 49*s**2 + 3. Let d(m) = m**3 - m**2 + 1. Let i(v) = b(v) - 3*d(v). What is the third derivative of i(y) wrt y?
252
Let f(r) be the third derivative of 11*r**7/210 + 7*r**3/3 + 13*r**2. Find the first derivative of f(p) wrt p.
44*p**3
What is the first derivative of 18 - 4*a - 212*a**3 + 427*a**3 - 212*a**3 wrt a?
9*a**2 - 4
Let z(u) be the first derivative of u**6/60 + u**4/4 - 2*u**3/3 - 2. Let s(m) be the third derivative of z(m). Find the first derivative of s(n) wrt n.
12*n
Let w be (-2)/(-11) + 108/11. What is the derivative of 5*j**3 - 10*j + 3 + w*j - 4*j**3 wrt j?
3*j**2
Let q(l) = -4*l - 7. Let t(i) = -i - 2. Let n(f) = 2*q(f) - 9*t(f). Let d(r) = r + 3. Let x(z) = -5*d(z) + 4*n(z). What is the derivative of x(m) wrt m?
-1
Let m(f) be the second derivative of -f**7/6 - f**3/6 + 3*f. What is the second derivative of m(r) wrt r?
-140*r**3
Let l(c) be the first derivative of 10*c**3/3 + 29*c**2/2 - 29. What is the second derivative of l(y) wrt y?
20
Let o = 8 - 5. Let g = 6 + -4. What is the derivative of 3*c**4 - g - c**4 - o*c**4 wrt c?
-4*c**3
Let n(d) be the first derivative of 3/4*d**4 + 0*d + 1 + 0*d**3 - 1/2*d**2. What is the second derivative of n(b) wrt b?
18*b
Let t(q) be the third derivative of -q**6/120 + 3*q**5/20 - 25*q**4/24 + 54*q**2. Find the second derivative of t(d) wrt d.
-6*d + 18
Let h(s) be the second derivative of -s**8/840 + s**6/180 - s**3/3 + 5*s. Let g(w) be the second derivative of h(w). What is the third derivative of g(r) wrt r?
-48*r
Let t(h) be the first derivative of h**5 + h**4 - 3*h**2/2 + 35. What is the second derivative of t(q) wrt q?
60*q**2 + 24*q
Differentiate -8*b**3 + 22 - 513*b**2 + 513*b**2 wrt b.
-24*b**2
Let m(j) = -j**2 - 1. Let u(n) = n**4 + 2. Let l(q) = q**3 + 7*q**2 - q - 5. Let t be l(-7). Let b(i) = t*m(i) + u(i). Find the third derivative of b(x) wrt x.
24*x
Find the second derivative of -6*i**2 + i - 6*i**2 - 5*i**2 + 11*i wrt i.
-34
Suppose -11 = 5*z - 31. Differentiate -3 + 5 - 3*n**4 + z with respect to n.
-12*n**3
Let p(k) be the second derivative of -k**9/3024 - k**6/72 - 4*k**3/3 + 9*k. Let d(j) be the second derivative of p(j). Find the third derivative of d(w) wrt w.
-60*w**2
Let j(x) be the first derivative of -x**4/4 + 7*x**2/2 - 74*x - 1. Differentiate j(q) with respect to q.
-3*q**2 + 7
Let m(b) be the second derivative of 1/6*b**4 + 0*b**3 + 1/10*b**5 + 3*b + 0*b**2 + 0. What is the third derivative of m(w) wrt w?
12
Let b = -10 - -12. Differentiate 65*u - 4 - 65*u - 3*u**b with respect to u.
-6*u
Let t(b) be the third derivative of b**4/6 - 2*b**3 + 16*b**2 + 3. What is the derivative of t(m) wrt m?
4
Let f(r) be the second derivative of 9*r**7/14 + 5*r**3/2 + 26*r. Find the second derivative of f(t) wrt t.
540*t**3
Suppose 0*r + 5 = -5*r. Let g be (r*(-2 - 0))/1. What is the second derivative of g*q - q**4 + 3*q**4 + q**4 wrt q?
36*q**2
What is the third derivative of 3*f**3 - 2*f**2 - 7 + 0*f**2 - 19 + 3*f**2 + 3*f**5 wrt f?
180*f**2 + 18
Let s(a) be the second derivative of a + 1/2*a**3 - 1/2*a**2 + 0. What is the derivative of s(r) wrt r?
3
Let p = -14 - -29/2. Let z(m) be the first derivative of 0*m - p*m**4 + 0*m**2 - 1/3*m**3 - 1. What is the third derivative of z(i) wrt i?
-12
Suppose -8*p = -12*p. What is the third derivative of 6*t**2 - 3*t**6 - 2*t**2 + p*t**2 wrt t?
-360*t**3
What is the derivative of -77*q**2 + 2*q + 62*q**2 - 2*q - 5 wrt q?
-30*q
Let k = 2/53 + 47/159. Let y(j) be the first derivative of 0*j**4 + 0*j**2 - 1 - k*j**3 + 0*j - 3/5*j**5. What is the third derivative of y(c) wrt c?
-72*c
Let j(u) = -u**3 - 6*u**2 + 8*u + 9. Let k be j(-7). Find the second derivative of -4*h + 5*h - 3*h + 3*h**k + 3*h wrt h.
6
Find the second derivative of -24*x**5 - 793 - 6*x + x**5 + 793 wrt x.
-460*x**3
Let b(o) = o**2 - 8*o + 2. Let a be 1*(-4 - -2 - -10). Let f be b(a). Find the third derivative of 4*d**4 + 8*d**2 - 3*d**f - d**4 - 2*d**2 wrt d.
72*d
Let t(y) be the second derivative of 13*y**5/20 - 5*y**3/2 - 16*y. Find the second derivative of t(l) wrt l.
78*l
Find the first derivative of 0 + 2 + l**4 - 1 + 0 wrt l.
4*l**3
Let b(h) = -87*h**3 - 67*h**2 - 17*h. Let y(n) = 29*n**3 + 22*n**2 + 6*n. Let v(m) = -6*b(m) - 17*y(m). Find the third derivative of v(j) wrt j.
174
Let v(s) be the second derivative of 2*s + 0*s**4 + 0*s**5 + 0*s**3 - 3/2*s**2 - 1/15*s**6 + 0. Differentiate v(j) wrt j.
-8*j**3
Let q = -10 + 14. Let s(r) = 2*r**4 + 4*r**3 + r. Let b(x) = -2*x**4 - 5*x**3 - 2*x. Let v(o) = q*b(o) + 5*s(o). What is the second derivative of v(g) wrt g?
24*g**2
Let a(b) = 4*b + 3. Let i be a(-2). Let s = 8 + i. Find the second derivative of 3*z**3 + 2*z - 4*z - z**s wrt z.
12*z
Find the second derivative of 26 + 13*g**4 - 7*g + 8*g**4 - 26 wrt g.
252*g**2