v.
-9*v**2
Let j(u) be the third derivative of u**8/168 + u**7/5 + 47*u**5/60 - u**4/24 + 51*u**2. Find the third derivative of j(t) wrt t.
120*t**2 + 1008*t
Let c(d) be the third derivative of -d**8/24 + 3*d**4/8 + 8*d**2. Find the second derivative of c(w) wrt w.
-280*w**3
Let x(w) be the first derivative of -23*w**4/4 - 14*w**2 + 29. Find the second derivative of x(i) wrt i.
-138*i
Suppose -19 = -3*o - 13. Let s(h) be the third derivative of o*h**2 + 0*h**4 + 0 + 1/6*h**3 - 1/30*h**5 + 0*h. Differentiate s(v) wrt v.
-4*v
Let i(b) = -31*b**2 + 3*b + 29. Let j(x) = -32*x**2 + 2*x + 30. Let z(y) = -2*i(y) + 3*j(y). What is the derivative of z(w) wrt w?
-68*w
What is the third derivative of -18*n**2 + 24*n**5 - 7*n**2 - 3*n**2 wrt n?
1440*n**2
Let z(d) = 125*d**4 - 11*d**2 + 116*d - 11. Let u(k) = -25*k**4 + 2*k**2 - 23*k + 2. Let h(y) = 11*u(y) + 2*z(y). Find the second derivative of h(m) wrt m.
-300*m**2
Let d(w) be the first derivative of 16*w**7/7 + w**3 + 1. Find the third derivative of d(s) wrt s.
1920*s**3
Let z(h) be the second derivative of 31*h**5/20 + 11*h**2 + 25*h. What is the first derivative of z(r) wrt r?
93*r**2
Differentiate -7*y**4 + y - y + 6 - 3 wrt y.
-28*y**3
What is the third derivative of -2*w**2 + 4*w**2 - w**5 + 5*w**5 + 2*w**2 wrt w?
240*w**2
What is the third derivative of 24*q**5 - q**2 + 25*q**6 - 24*q**5 + 2*q wrt q?
3000*q**3
Let q(i) = -2*i - 2. Suppose 9 = 3*m - 9. Let w(d) = -d + 3 + 2 + m*d. Let t(v) = -8*q(v) - 3*w(v). Differentiate t(b) wrt b.
1
Find the second derivative of 0*t**4 - 4*t**4 + 3*t + t wrt t.
-48*t**2
Let p(c) be the second derivative of -c**5/20 - c**3/3 - c**2 - 3*c. Let y(i) be the first derivative of p(i). What is the first derivative of y(l) wrt l?
-6*l
Let f(t) be the third derivative of 1/24*t**4 - 4*t**2 + 0*t**7 + 0*t**3 + 5/336*t**8 + 0*t**5 + 0*t + 0 + 0*t**6. Find the second derivative of f(b) wrt b.
100*b**3
Let m(o) be the third derivative of -o**8/1680 + o**5/60 - o**3/2 - 2*o**2. Let u(g) be the first derivative of m(g). Find the second derivative of u(l) wrt l.
-12*l**2
Find the third derivative of 0*y**2 + y**2 - 5*y**2 - 4*y**5 + 3*y**2 wrt y.
-240*y**2
Let t(i) be the third derivative of 3*i**2 + 0*i + 0*i**3 + 0 + 1/30*i**5 + 0*i**4 + 1/210*i**7 + 0*i**6. What is the third derivative of t(j) wrt j?
24*j
Let p = 5 + -3. What is the second derivative of 2*v**2 + 6*v - 2*v - p*v wrt v?
4
Let v(j) be the first derivative of j**5/5 - j**4/2 + 8*j**2 - 4. Find the second derivative of v(p) wrt p.
12*p**2 - 12*p
Let k(t) = t**5 - t**3 + t**2 - t. Let o(i) = -4*i**5 + 2*i**3 - 10*i**2 + 2*i. Let m(j) = -2*k(j) - o(j). Find the third derivative of m(r) wrt r.
120*r**2
Let t(z) = -5*z + 2. Let v(g) = -4*g + 1. Let b = -9 - -3. Let r(n) = b*v(n) + 5*t(n). Differentiate r(q) wrt q.
-1
Suppose -2*z - 2*y = -4*z + 12, 2*z + 4*y = -18. Let c be (-2)/(-2) + (z - 0). What is the second derivative of -m**3 + 3*m**3 + c*m - 4*m wrt m?
12*m
Let m(d) = 44*d**2 + 38*d. Let j(x) = -45*x**2 - 39*x. Let w(f) = -6*j(f) - 5*m(f). What is the second derivative of w(q) wrt q?
100
Suppose -s - 4 = -3*q, -s - 2*s + 14 = 4*q. Let t be 3*q/6*3. What is the first derivative of 3 - 4 - t*w**4 + 5*w**4 wrt w?
8*w**3
Let u(o) be the first derivative of o**6/6 - 5*o**2/2 - 4. What is the second derivative of u(m) wrt m?
20*m**3
Differentiate 7*h**2 + 7 - h**2 + 3*h**2 with respect to h.
18*h
Let o(b) = b**2 - 6*b + 5. Let j(h) = h**2 - 6*h + 4. Let a(c) = -5*j(c) + 4*o(c). What is the second derivative of a(g) wrt g?
-2
Let p(o) = o**3 + 3*o**2 - 2. Let c be p(-2). What is the first derivative of 0*f + c*f - 1 + f wrt f?
3
Let n(m) be the first derivative of m**2/2 - m + 2. Let u(t) = -3*t + 8. Let c(a) = 5*n(a) + u(a). Find the first derivative of c(z) wrt z.
2
Let a(p) = -2*p**4 + 2*p**2 + 2*p - 35. Let s(q) = 7*q**4 - 9*q**2 - 9*q + 139. Let g(n) = -9*a(n) - 2*s(n). Differentiate g(c) wrt c.
16*c**3
Let m be 24/10 + 2/(-5). What is the third derivative of c**3 + 3*c**2 + 4*c**2 - m*c**2 + 2*c**3 wrt c?
18
Let o(p) be the third derivative of 0 - 1/8*p**4 + p**2 - 1/120*p**6 + 0*p**3 + 0*p**5 + 0*p. What is the second derivative of o(g) wrt g?
-6*g
Let g(a) be the first derivative of -a**6/15 - 3*a**2/2 + 2*a - 3. Let p(n) be the first derivative of g(n). What is the first derivative of p(u) wrt u?
-8*u**3
Let b(d) be the first derivative of -d**5/10 - d**3/2 + 2*d + 1. Let c(m) be the first derivative of b(m). What is the second derivative of c(z) wrt z?
-12*z
Let p(k) = 2*k**2 + 11*k + 5. Let s(o) = -o**2 + 4 + 2 - 5*o - 4 - 4. Let y(m) = 2*p(m) + 5*s(m). What is the second derivative of y(b) wrt b?
-2
Let t(w) be the second derivative of w**7/70 - 5*w**3/6 - 3*w**2/2 - 3*w. Let a(k) be the first derivative of t(k). What is the derivative of a(u) wrt u?
12*u**3
Let u(p) be the second derivative of 0*p**2 + 1/10*p**6 + 1/6*p**4 + 2*p + 0*p**5 + 0 + 0*p**3. What is the third derivative of u(j) wrt j?
72*j
What is the second derivative of f**4 + 3*f**5 + 1 + 6*f**5 - 8*f**5 - 11*f wrt f?
20*f**3 + 12*f**2
Let l(c) be the third derivative of 0*c**5 + 0*c + 0 - 1/8*c**4 + 1/40*c**6 - 5*c**2 + 0*c**3. What is the second derivative of l(n) wrt n?
18*n
Let u(g) = g - 7. Let z be u(10). Let s(w) be the first derivative of -2/5*w**5 + 0*w**4 + 2*w + 1 + 0*w**2 + 0*w**z. What is the derivative of s(f) wrt f?
-8*f**3
Let b(v) = -36*v**2 + 3*v - 50. Let x(z) = 108*z**2 - 8*z + 150. Let y(i) = -8*b(i) - 3*x(i). What is the derivative of y(t) wrt t?
-72*t
Let a(f) be the second derivative of f**7/7 - f**3 - 3*f. Let u(v) = -6*v**5 + 7*v. Let h(b) = 3*a(b) + 2*u(b). Find the second derivative of h(n) wrt n.
120*n**3
Let k = -5 - -6. Let o be (0/(-5))/(-1*k). Find the third derivative of -3*t**4 + 2*t**4 - t**2 + o*t**2 wrt t.
-24*t
Let n = -48 - -50. Let w(j) be the third derivative of 0*j + 0 + 1/3*j**3 - 2*j**n - 1/24*j**4. What is the derivative of w(g) wrt g?
-1
Let w(f) be the second derivative of 8*f + 1/4*f**4 + 0 + 0*f**3 + 3/2*f**2. Differentiate w(h) wrt h.
6*h
Let j(o) be the second derivative of o**6/10 + 5*o**2/2 - 7*o. Differentiate j(m) wrt m.
12*m**3
Let d be (0 - -14*1)/2. Suppose a + 3 = d. What is the third derivative of -1 - 2*r**a + 2*r**2 + 1 wrt r?
-48*r
Let u(o) be the third derivative of o**6/30 + 13*o**5/60 + 11*o**2. Find the third derivative of u(x) wrt x.
24
Suppose -3*d = -6*y + 2*y + 22, -3*d - 26 = -5*y. Find the first derivative of -y - 4*g**4 + 0*g**4 + 0 + 5 wrt g.
-16*g**3
Suppose 0*y = -3*o + 3*y + 9, 5*o - 13 = 4*y. Find the third derivative of 5*u**3 + 5*u**2 + 3 - o - 2 wrt u.
30
Let h(u) = 7*u**3 - 2*u**2 + 3*u + 3. Let r(w) = 13*w**3 - 3*w**2 + 5*w + 5. Let q(n) = -5*h(n) + 3*r(n). What is the third derivative of q(c) wrt c?
24
Suppose -7*x + 8 = -3*x. What is the first derivative of i + 3*i + 0*i - x*i + 1 wrt i?
2
Let i(l) = -82*l**3 + 139. Let j(t) = -27*t**3 + 46. Let s(f) = 2*i(f) - 7*j(f). Differentiate s(k) with respect to k.
75*k**2
Let q(l) = -38*l**4 + 11*l**3 - 21*l + 11. Let i(s) = -13*s**4 + 4*s**3 - 7*s + 4. Let r(w) = -11*i(w) + 4*q(w). Find the second derivative of r(v) wrt v.
-108*v**2
Let y = -33/2 + 17. Let r(b) be the second derivative of -1/6*b**3 + 0 + 2*b - y*b**2. Differentiate r(k) wrt k.
-1
Let f(p) = -4*p**3 + 8*p**2 + 8*p - 4. Let n(z) = z**3 - z**2 - z. Suppose -5*x + 4*x + 8 = 0. Let u(g) = x*n(g) + f(g). Differentiate u(q) wrt q.
12*q**2
Let h = -2/19 - -31/114. Let c(r) be the second derivative of h*r**3 + 1/12*r**4 + 0*r**2 + 0 - 2*r. What is the second derivative of c(w) wrt w?
2
Let g = -7 - -5. Let v = 4 + g. Find the third derivative of -17 - x**5 + 3*x**v + 17 wrt x.
-60*x**2
Find the second derivative of 1575*k**3 + 26*k - 1575*k**3 - 47*k**5 wrt k.
-940*k**3
Let u = -98/3 + 33. Let f(l) be the first derivative of -1 + 0*l**5 + u*l**3 + 0*l**4 + 0*l**2 + 0*l + 1/6*l**6. What is the third derivative of f(h) wrt h?
60*h**2
Let u(l) be the third derivative of -l**4/6 + 3*l**3/2 - 3*l**2. Let a(c) = -c + 2. Let i(y) = -26*a(y) + 6*u(y). Differentiate i(h) wrt h.
2
Suppose 0 = -3*v - 6*v + 27. Let m(s) be the first derivative of 0*s**v + 0*s**2 + 1/4*s**4 - 1 - s. What is the derivative of m(i) wrt i?
3*i**2
Let g(a) = 14*a**3 - 41. Let h(d)